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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
4372468560084503751 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 3, 5, 7, 10], [0, 4, 5, 9, 10], [9, 2, 3, 7], [0, 11], [0, 3, 4], [2, 3, 7, 10, 11], [0, 4, 5, 6], [8, 10, 5], [3, 4, 7], [8, 0], [2, 3, 5, 6], [1, 2, 4, 5, 9], [1, 2, 3, 8, 11], [0, 4, 6, 9, 10], [1, 3, 7, 10, 11], [4, 6, 8, 9, 11], [9, 2, 10, 5], [4... | {"states": [2027, 1003], "expectation_value": -4.624214358610222, "params": [[[-0.18230000000000002, 0.13290000000000002], [-1.6229, 2.5922], [-0.0112, 0.5391], [0.45020000000000004, 0.048600000000000004], [0.1971, 0.151], [0.8773000000000001, 0.5958], [0.6055, 0.6384000000000001], [2.5434, 0.3569], [0.5862, 0.0558], [... | 0.31666666666666665 * (Z(4) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.26666666666666666 * (Z(7) @ Z(4)) + 0.44999999999999996 * (Z(9) @ Z(5)) + 0.18333333333333335 * (Z(9) @ Z(4)) + 0.15000000000000002 * (Z(9) @ Z(7)) + 0.15000000000000002 * (Z(2) @ Z(5)) + 0.18333333333333335 * (Z(2) @ Z(4)) + 0.35 * (Z(2) @ Z... | 15 | 12 | 1 | {"smallest_eigenvalues": [-6.299999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.166666666666666, "smallest_bitstrings": ["110000010100"], "largest_eigenvalue": 26.000000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.02985806134813943) q[0];
ry(-2.782291003473629) q[1];
ry(-0.07780708739945183) q[2];
ry(-0.0747717030905812) q[3];
ry(0.20990635869964597) q[4];
ry(0.26701809401409815) q[5];
ry(0.07169988080319362) q[6];
ry(3.0722153264958436) q[7];
ry(0.0696634673367797) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZIIII",
"IIIIZIZIIIII",
"IIIIZIIZIIII",
"IIZIIIZIIIII",
"IIZIIIIZIIII",
"IIZIZIIIIIII",
"IIIIIIZIIZII",
"IIIIIIIZIZII",
"IIIIZIIIIZII",
"IIZIIIIIIZII",
"IIIIIIZIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIIIIIZIZ",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIIIZZIIIIII",
"IIZIIZIIIIII",
"IIIIIZIII... | [
0.31666666666666665,
0.21666666666666667,
0.26666666666666666,
0.44999999999999996,
0.18333333333333335,
0.15000000000000002,
0.15000000000000002,
0.18333333333333335,
0.35,
0.31666666666666665,
0.25,
0.21666666666666667,
0.1,
0.3333333333333333,
0.05,
0.2833333333333333,
0.433333333... | 0.97468 | [
0.02985806134813943,
-2.782291003473629,
-0.07780708739945183,
-0.0747717030905812,
0.20990635869964597,
0.26701809401409815,
0.07169988080319362,
3.0722153264958436,
0.0696634673367797,
3.3158624025603314,
2.8522689978572116,
-0.09030818087146232,
0.07552849254721758,
3.1735647621146055,
... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -6.299999999999999,
"target_ratio": 0.97,
"target_value": -6.110999999999999
} | 51 |
-5751249132743867441 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 5], [6, 7], [3, 7], [0, 1, 2, 4, 5], [2, 3, 6], [1, 3, 5], [5, 6]]} | {"states": [210, 218], "expectation_value": -0.036401386753178756, "params": [[0.0603], [-0.0524]], "bitstrings": ["00101101", "00100101"], "total_optimization_steps": 10, "probabilities": [0.004134818999103526, 0.004145117587509641], "optimization_time": 0.815840482711792} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(0)) + 0.21666666666666667 * (Z(1) @ Z(5)) + 0.16... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.7000000000000006], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["00100101"], "largest_eigenvalue": 5.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.068333978197606) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.4072099476402096) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.20653172881579826) q[5];
cx q[0], q[5];
h q[6];
cx q[3], q[6];
rz(-0.068333978197606... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIZIZI",
"IIIIIIZZ",
"IIZIIIZI",
"IIIIZZII",
"IIIIIZIZ",
"IIZIIZII",
"IZIIIZII",
"IIIIIZZI",
"IIIZIIIZ",
"IIZZIIII",
"IIIZIIZI",
"IIIZIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIII... | [
0.16666666666666666,
0.3333333333333333,
0.21666666666666667,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.05,
0.21666666666666667,
0.16666666666666666,
0.05,
0.05,
0.16666666666666666,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5000000000000001,
0.26666666666666666,
0.4... | 0.536176 | [
-0.068333978197606,
0.4072099476402096,
0.20653172881579826,
0.8070480169963404,
0.04152867476315612,
1.5116744985911827,
-0.06932726946519543,
-0.47193901256005105,
-1.2828830187120737,
-0.9194868234939167
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -2.7000000000000006,
"target_ratio": 0.97,
"target_value": -2.6190000000000007
} | 271 |
1536b63d241483fb5dc02588be4ba19b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [97, 14], "expectation_value": -1.6340420538937104, "params": [[0.0702, 0.0703, 0.0609, 0.06430000000000001], [-0.06470000000000001, -0.0742, -0.0649, -0.0565]], "bitstrings": ["0011110", "1110001"], "total_optimization_steps": 10, "probabilities": [0.017839455302809785, 0.01940506716276185], "optimization_t... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -2.0 * Z(2) + -0.5 * Z(5) + -1.0 * Z(6) | 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": ["0011110", "1010101", "0011101", "1010110", "1110001"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.04779183555766979) q[0];
rz(pi/2) q[0];
ry(0.8306418339210944) q[1];
ry(0.05682480482049211) q[2];
ry(-0.05796229018538766) q[3];
ry(0.8499443990166291) q[4];
ry(0.7642536277892962) q[5];
ry(0.9814073438298536) q[6];
ry(0.521067015089204) q[7];
ry(1.1286822792896... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIZIIZ",
"IIZIIIZ",
"IIZIIZI",
"IIIZZII",
"IIZIZII",
"IIIIZZI",
"IZIIZII",
"ZIZIIII",
"ZIIIZII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
-0.5,
-2,
-0.5,
-1
] | 0.975441 | [
-0.04779183555766979,
0.8306418339210944,
0.05682480482049211,
-0.05796229018538766,
0.8499443990166291,
0.7642536277892962,
0.9814073438298536,
0.521067015089204,
1.128682279289605,
-0.10572734460785212,
-0.004947795862729976,
-0.08436678599328315,
0.3852756836515644,
0.04561754259989417,... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 50 |
231c6eb4e7cbdb3201d2afdbe0b8fff4 | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "... | {"states": [3711, 4095], "expectation_value": -0.6302452408079285, "params": [[-0.0664], [0.07690000000000001]], "bitstrings": ["000110000000", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.00037089868137943094, 0.00037089868137943094], "optimization_time": 2.097872018814087} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.0 * (Z(10) @ Z(11)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.0 * Z(4) + 1.0 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(... | 1 | 12 | 1 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["000000000000", "000110000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8007451295348385) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.8007451295348385) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.7610801988452751) q[1];
rx(2.009588437136268) q[1];
rz(-0.7610801988452753) q[2];
cx q[0], q[2];
rz(-0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"IIZIZIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIZIIIIII",
"IIIIIIZIIIII",
"IIIZIIIIIIII",
"IIIIZIIII... | [
-1.5,
-1.5,
0.5,
-1.5,
-1,
-1.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.612335 | [
-0.8007451295348385,
-0.7610801988452753,
-0.787146829199167,
-1.3015769417497447,
2.009588437136268
] | {
"n_parameters": 5,
"n_qubits": 12,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 175 |
542cdbd85175981b12cba21c5251dcc2 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [190, 174], "expectation_value": -79.73450717577681, "params": [0.7358, -0.159, 1.497, 0.006, 0.16540000000000002, -0.3618, 1.4209, -0.0317, 1.4906000000000001, -0.5730000000000001, 1.2236, -0.0478, 1.3298, 0.035300000000000005, 1.499, 0.0027, 0.43620000000000003, -0.5905, 0.7267, 0.1012, 1.499, 0.0804, 0.19... | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(8)) + -2.5 * Z(0) + 9.0 * Z(1) + 23.0 * ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 158.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.7277621881469201) q[0];
rz(1.4905903591623915) q[0];
rx(1.5456757943173884) q[1];
rz(1.8921874266333027) q[1];
rx(0.139889590321463) q[2];
rz(1.2644295675081123) q[2];
rx(1.4099300716477352) q[3];
rz(1.4279601385691247) q[3];
rx(1.7676202645571768) q[4];
rz(0.65696... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"ZIIZIIIII",
"IZIIIZIII",
"IZIIIIZII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-2.5,
9,
23,
0.5,
9.5,
19,
18,
3,
14
] | 0.973309 | [
0.7277621881469201,
-0.08020596763250491,
1.5456757943173884,
0.32139109983840647,
0.139889590321463,
-0.3063667592867839,
1.4099300716477352,
-0.14283618822577182,
1.767620264557177,
-0.9138362904508384,
1.3150641317643585,
-0.09214114531080546,
1.218043212246353,
0.19706229899670097,
1... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 11 |
8537621717641557796 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 6, 8, 9, 10], [0, 7], [1, 3, 8, 9, 10], [1, 5, 7, 8, 11], [0, 1, 2, 3, 9, 10], [4, 6], [3, 4], [4, 5], [1, 3, 7, 8, 10, 11], [10, 2, 4, 7], [3, 5, 7, 8, 10], [9, 2, 4], [2, 3, 7], [0, 2, 5, 6, 10], [3, 7, 8, 9, 10], [10, 6, 7], [1, 4], [2, 3, 5], [0, ... | {"states": [1908, 1916], "expectation_value": -6.035344335215409, "params": [-0.0022, -1.1655, -0.0022, 0.0022, 1.5498, 0.0017000000000000001, 0.9830000000000001, 0.0044, 1.5716, -0.0023, 1.576, 0.0011, 1.5709000000000002, -0.0027, 1.5761, 0.6836, -0.0446, -0.0019, 0.0402, 0.0033, 1.2601, -0.0161, 1.2789000000000001, 0... | 0.13333333333333333 * (Z(3) @ Z(6)) + 0.08333333333333334 * (Z(8) @ Z(6)) + 0.26666666666666666 * (Z(8) @ Z(3)) + 0.08333333333333334 * (Z(9) @ Z(6)) + 0.21666666666666667 * (Z(9) @ Z(3)) + 0.21666666666666667 * (Z(9) @ Z(8)) + 0.26666666666666666 * (Z(10) @ Z(6)) + 0.26666666666666666 * (Z(10) @ Z(3)) + 0.233333333333... | 8 | 12 | 1 | {"smallest_eigenvalues": [-6.050000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.016666666666667, "smallest_bitstrings": ["100010000011"], "largest_eigenvalue": 20.999999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.02493189885123153) q[0];
rz(0.4017411754425564) q[0];
rx(1.4787500777284621) q[1];
rz(0.016758198994696508) q[1];
cx q[1], q[0];
ry(-0.0016419904111615246) q[0];
cx q[1], q[0];
ry(0.02657388926239306) q[0];
rz(-1.505859948370782) q[0];
rx(1.0453350123840643) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZIII",
"IIIZIZIIIIII",
"IIIZIIIIZIII",
"IIZIIZIIIIII",
"IIZIIIIIZIII",
"IIZZIIIIIIII",
"IZIIIZIIIIII",
"IZIIIIIIZIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIIIIZIIIIIZ",
"IIIIIIIIZIIZ",
"IIIZIIIIIIIZ",
"IIZIIIIIIIIZ",
"IZIIIIIIIIIZ",
"IIIIZZIIIIII",
"IIIIZIIIZIII",
"IIIZZIIII... | [
0.13333333333333333,
0.08333333333333334,
0.26666666666666666,
0.08333333333333334,
0.21666666666666667,
0.21666666666666667,
0.26666666666666666,
0.26666666666666666,
0.23333333333333334,
0.26666666666666666,
0.05,
0.06666666666666667,
0.03333333333333333,
0.06666666666666667,
0.0833333... | 0.992048 | [
0.024931898851231534,
-1.1690551513523402,
1.4787500777284621,
0.016758198994696508,
1.5872212630499514,
-0.04385977854803759,
1.4099516995519634,
-0.06921864359942449,
0.038801070486317396,
-0.1974914344780503,
1.0563041392818104,
0.03592070569653562,
1.4973083012010644,
1.656910770689019... | {
"n_parameters": 54,
"n_qubits": 12,
"optimal_eigenvalue": -6.050000000000001,
"target_ratio": 0.97,
"target_value": -5.868500000000001
} | 1 |
bce5ca5986693901af184e18507446b4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 6, "source": 2, ... | {"states": [127, 1], "expectation_value": -0.18878502830440705, "params": [[-0.020300000000000002, -0.021500000000000002], [0.0123, 0.013900000000000001]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.004224542629682784, 0.004241094189431553], "optimization_time": 3.015176... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(7) + -0.25 * Z(1) + -0.75 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.26551759312366496) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.24601808850036722) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.2106820697719629) q[3];
cx q[2], q[3];
h q[4];
cx q[2], q[4];
rz(-0.24601808850036722) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IIIIZZII",
"IIZIZIII",
"IIIZIZII",
"IIZZIIII",
"IIIZZIII",
"IZIIIZII",
"IZZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
0.5,
-1.5,
-1.75,
-1,
-1.25,
-1.5,
-1,
-1.5,
-0.5,
-1.75,
0.25,
-0.25,
0.5,
-0.25,
-0.75,
-3.75,
2,
2.25
] | 0.970878 | [
-0.26551759312366496,
0.5443980403728371,
-0.24601808850036722,
-0.2378127075115953,
-0.2106820697719629,
-0.20753145420696298,
0.003614311912416672,
-0.7751099775106872,
-0.3975432926107583,
-0.847716413634907,
-0.4217054509723286,
0.811719888820736,
-1.5077942636527142,
-0.28499579844100... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 157 |
786fc65b0c160b8b65668d1c378820ac | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [243, 179], "expectation_value": -70.34562623782321, "params": [-0.0024000000000000002, 0.0049, 1.0387, 0.0063, 2.6063, 0.0083, 1.4983, 0.002, 2.6008, 0.0045000000000000005, 2.5961000000000003, 0.0086, 0.0029000000000000002, 0.0077, 0.0019, 0.005, 2.5918, 0.0027, 2.6039000000000003, 0.0077, 0.0077, 0.0075000... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(0) @ Z(4)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(9) @ Z(8)) + 3.5 * Z(1) + 7.5 * Z(2) + 7.0 * Z(4) + -4.0 * Z(0) + 10.0 * Z(3) + 14.5 * Z(5) + -5.5 * Z(6) + -3.0 ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-95.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["1101001100"], "largest_eigenvalue": 127.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.10512463059287822) q[0];
rz(0.30787380387697194) q[0];
rx(0.20407726414891592) q[1];
rz(0.103563067383978) q[1];
rx(0.6647885200075784) q[2];
rz(0.017418242679020868) q[2];
rx(0.030621995975445862) q[3];
rz(0.2889003242032795) q[3];
rx(0.8832782976358944) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIIIIZII",
"IZIIIIIIZI",
"ZIIIIIZIII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
3.5,
7.5,
7,
-4,
10,
14.5,
-5.5,
-3,
5.5,
17
] | 0.9775 | [
0.10512463059287822,
0.2981853205908014,
0.20407726414891592,
0.103563067383978,
0.6647885200075784,
0.017418242679020868,
0.030621995975445862,
0.2889003242032795,
0.8832782976358944,
0.025849163022936987,
0.9113245494073663,
0.2105387342009302,
-0.010443190252041233,
0.6605613860345696,
... | {
"n_parameters": 118,
"n_qubits": 10,
"optimal_eigenvalue": -95.5,
"target_ratio": 0.97,
"target_value": -92.63499999999999
} | 9 |
-560962805425051736 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[1, 2], [0, 2], [2, 3]]} | {"states": [2, 13], "expectation_value": -1.2941021212470392, "params": null, "bitstrings": ["1101", "0010"], "total_optimization_steps": 20, "probabilities": [0.05995960809388086, 0.8249764027898926], "optimization_time": 42.6967658996582} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1101", "0010"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.9553165928608945) q[1];
cx q[2], q[1];
rz(-4.490924254696438e-08) q[1];
rx(-0.7853981689246499) q[1];
cx q[2], q[0];
rz(0.9553165928608945) q[0];
cx q[2], q[0];
rz(-4.490924254696438e-08) q[0];
rx(-0.7853981689246499) q[0];
h ... | null | null | {"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];\ncry(-1.0342) q[3], q[2];\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... | [
"IZZI",
"IZIZ",
"ZZII",
"IZII",
"IIZI",
"IIIZ",
"ZIII"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.544331 | [
0.9553165928608945,
-4.490924239659428e-8,
-0.7853981689246499
] | {
"n_parameters": 3,
"n_qubits": 4,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 91 |
11576eab70c2ec583415b5e8bd58f9e2 | community_detection | vqe | {"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": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [1685, 2709], "expectation_value": -1.5106166907730276, "params": [-0.774, -0.6438, 0.48300000000000004, 0.4792, 0.5273, 0.5314, 0.0015, -0.0066, -1.4688, -1.1954, 0.44830000000000003, 0.46950000000000003, 0.0117, 0.0126, 0.5198, 0.5325, 0.0102, -0.0011, 0.5383, 0.5345, -0.0149, 0.0081, 0.5296000000000001, 0... | 0.25 * (Z(0) @ Z(1)) + -0.0006377551020408162 * (Z(2) @ Z(0)) + -0.0006377551020408162 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.001020408163265306 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + -0.001020408163265306 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0007653... | 13 | 12 | 3 | {"smallest_eigenvalues": [-1.5147959183673465, -1.5147959183673465], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5142857142857147, "smallest_bitstrings": ["010101101010", "101010010101"], "largest_eigenvalue": 1.5158163265306124} | 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0006377551020408162,
-0.0006377551020408162,
0.25,
-0.001020408163265306,
-0.001020408163265306,
-0.001020408163265306,
-0.001020408163265306,
0.25,
0.0007653061224489796,
0.0007653061224489796,
0.000510204081632653,
0.0007653061224489796,
0.0007653061224489796,
0.00051020408163... | 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 |
7bc4dde9a09d0b94c5097b219891d81a | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [2799, 2798], "expectation_value": -5.8761282490339255, "params": [1.7127000000000001, 0.11330000000000001, 0.521, 0.9155000000000001, 1.7468000000000001, 0.45690000000000003, 0.6415000000000001, -0.668, 1.6494, -0.3301, 1.5589000000000002, 0.0073, 1.6638000000000002, 0.0199, 0.8357, 0.7082, 1.447, 0.3637, 1... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * ... | 16 | 12 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -6.0, "smallest_bitstrings": ["010010100001", "010100010001", "100100010001", "001100001010", "100100001010", "100010100001", "100001100010", "001001010100", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIIIIZIII",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIZIIII",
"IZIIZIIIIIII",
"IZIIIIIII... | [
0.5,
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0.058537607426864216,
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0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
fb6267fe9e00f958431b621d7db08da1 | 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": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [63, 1], "expectation_value": -0.4761106844717504, "params": [[0.0724, 0.0639, 0.06380000000000001], [-0.07970000000000001, -0.0568, -0.0539]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.014108248522967605, 0.015645271773516028], "optimization_time": 3.560153961... | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.8256979864230616) q[0];
ry(-0.06047270206602687) q[1];
rz(-pi) q[1];
ry(-0.014969240940445772) q[2];
rz(-pi) q[2];
h q[3];
rz(-pi) q[4];
ry(-0.03264831394078908) q[4];
h q[5];
ry(0.38986338903582735) q[5];
cx q[3], q[5];
ry(-0.38986338903582735) q[5];
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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIIZZI",
"IZIZIII",
"IIIZIZI",
"IIIZZII",
"IZZIIII",
"IIZIIZI",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
0.5,
-0.25,
-0.25,
-0.75,
-0.5,
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-0.5,
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0.25,
-0.25,
0.5,
-1,
0,
0.25,
0.25
] | 0.9716 | [
-1.4905875067940901,
1.6866535584938058,
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0.7797267780716547,
-0.9916435268869962,
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-0.3002862876041261,
0.19491589361314454,
-0.12374949131886509,
-0.0260039025309298... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 4 |
15323fff8a86688a67a3412302b595a8 | max_flow | 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": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [5344, 7392], "expectation_value": -6.68724355301115, "params": [0.0024000000000000002, 0.5075000000000001, 0.0025, 0.009300000000000001, -0.0012000000000000001, -0.0036000000000000003, 0.006200000000000001, 0.0045000000000000005, 0.8024, 0.006200000000000001, 0.8053, 0.00030000000000000003, 0.79570000000000... | -0.5 * (Z(10) @ Z(4)) + -0.5 * (Z(11) @ Z(4)) + 1.0 * (Z(11) @ Z(10)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(8)) + 2.0 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + -0.5 * (Z(0) @ Z(10)... | 5 | 15 | 1 | {"smallest_eigenvalues": [-17.799999999999823], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.999999999999844, "smallest_bitstrings": ["110001100011111"], "largest_eigenvalue": 37.39999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(-0.018028883949639758) q[0];
rz(0.9021455909522267) q[0];
rx(-0.010461068957280077) q[1];
rz(-0.6251513123138588) q[1];
rx(1.2410705536056943) q[2];
rz(0.24837249735736772) q[2];
rx(1.482653069731669) q[3];
rz(0.15733957473157698) q[3];
rx(1.3550375103965857) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZIIII",
"IIIZIIIIIIZIIII",
"IIIZZIIIIIIIIII",
"IIIIIIIIIZZIIII",
"IIIIZIIIIZIIIII",
"IIIZIIIIIZIIIII",
"IIIIIIIIZIZIIII",
"IIIIZIIIZIIIIII",
"IIIZIIIIZIIIIII",
"IIIIIIIIZZIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZZIIIIIIII",
"IIIIIZIZIIIIIII",
"IIIIZIIIIIIIIIZ",
"IIIZIIIIIIIIIIZ",
"... | [
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-0.60000... | 0.972144 | [
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0.08163044844034495,
-0.032341474889986954,
0.4495258465063271,
0.12331348944211716,
0.257408835838154... | {
"n_parameters": 75,
"n_qubits": 15,
"optimal_eigenvalue": -17.799999999999823,
"target_ratio": 0.97,
"target_value": -17.265999999999828
} | 19 |
2398b0b8852b758caa629303970b584b | 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": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [32, 49], "expectation_value": -4.999971821732332, "params": null, "bitstrings": ["011111", "001110"], "total_optimization_steps": 26, "probabilities": [1.3834854838931248e-05, 0.9999858813341915], "optimization_time": 16.93510103225708} | 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(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.039254698902790326) q[0];
rz(pi/2) q[0];
ry(0.3648670593836806) q[1];
ry(0.3376361431186225) q[2];
ry(0.37423268336375176) q[3];
ry(0.5746655888699254) q[4];
ry(-0.09537820387184358) q[5];
ry(0.4618259931807873) q[6];
ry(0.43542575300609276) q[7];
ry(0.45015024645... | 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[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... | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"IIZIZI",
"IZIIZI",
"ZIIZII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-1,
-0.5
] | 0.9724 | [
0.039254698902790326,
0.3648670593836806,
0.3376361431186225,
0.37423268336375176,
0.5746655888699254,
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0.02352608316433561,
0.3808695150484027,
-0.32131097767290606,
0.1267658218374237,
-0.03091676333232282... | {
"n_parameters": 152,
"n_qubits": 10,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 36 |
ed0b71b08ec9de27a3c8e799f071135d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, ... | {"states": [998, 486], "expectation_value": -3.296685119020498, "params": [[[0.8023, 0.0059], [0.7904, 0.0021000000000000003], [0.7885000000000001, 0.0055000000000000005], [0.7888000000000001, 0.0017000000000000001], [0.7853, -0.0028], [0.0132, -0.0007], [0.0383, 0.0414], [0.1148, 0.7801], [0.09720000000000001, 0.58810... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.6875, "smallest_bitstrings": ["0001011001", "0010011001", "0010011010", "1001001001", "0100011001", "0010111000", "1000011001", "1000001101", "00001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.2671640380811608) q[0];
ry(0.7953686920657074) q[1];
ry(0.5260527363787387) q[2];
ry(0.8481874444618196) q[3];
ry(0.90711031047359) q[4];
ry(0.08718925574335373) q[5];
ry(-0.02936850948601582) q[6];
ry(0.004640013953518422) q[7];
ry(0.046607417664464024) q[8];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIZIIZZ",
"IIIIIIZZIZ",
"IIIIIZIZIZ",
"IIIIIZZIIZ",
"IIIIIIZZZI",
"IIIIIZIZZI",
"IIIIIZZIZI",
"IIIIIZZZII"... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
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-0.0625,
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0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.125,
0.125,
0.125,
0.125,
0.... | 0.97074 | [
1.2671640380811608,
0.7953686920657074,
0.5260527363787387,
0.8481874444618196,
0.90711031047359,
0.08718925574335373,
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0.004640013953518422,
0.046607417664464024,
0.6582201737710666,
-0.04103819028318193,
0.06592844727749936,
0.02038066099662217,
-0.06519108469431695,... | {
"n_parameters": 75,
"n_qubits": 10,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 62 |
bd840c67c60de5e8a0e6837e43896a66 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [119, 127], "expectation_value": -6.663532538423464, "params": null, "bitstrings": ["10001000", "10000000"], "total_optimization_steps": 78, "probabilities": [0.1829048044125119, 0.5236471156154194], "optimization_time": 104.86452651023865} | -1.0 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + -1.75 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(6) + -0.75 * Z(7) + 0.25 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.35990459281439513) q[0];
ry(0.023198227495002326) q[1];
ry(-0.34517053290632227) q[2];
ry(-0.07570776039062659) q[3];
ry(-0.3300671927820766) q[4];
ry(0.07912328524283957) q[5];
ry(-0.12769810895159228) q[6];
ry(2.542770934701043) q[7];
cx q[7], q[0];
cx q[6], q[7]... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZIIZ",
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"ZIIIZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIZII",
"IIIIIZZI",
"IIIZZIII",
"IZIZIIII",
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"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII"
] | [
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1,
-0.25,
-1.25,
-0.75,
0.25,
-2,
2.25,
0.75
] | 0.971343 | [
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0.06582778734862514,
0.014480851916113589,
0.018346416700780566,
0.004479335725910791,
0.2717194537... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 35 |
6767011186519969808 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8, 3], [8, 7], [2, 4, 5], [2, 4, 6], [8, 6], [0, 1, 2, 3], [8, 1], [0, 1, 2, 7], [4, 6, 7], [2, 3, 7], [3, 6, 7], [0, 5, 6], [1, 2, 4]]} | {"states": [461, 462], "expectation_value": -3.479388797573823, "params": null, "bitstrings": ["000110010", "000110001"], "total_optimization_steps": 59, "probabilities": [0.09390365562267974, 0.8184311666195702], "optimization_time": 128.52373337745667} | 0.16666666666666666 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.25 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.750000000000001, -3.750000000000001], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.666666666666668, "smallest_bitstrings": ["000110001", "000111001"], "largest_eigenvalue": 11.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[8], q[0];
rz(0.03530288352366224) q[0];
cx q[8], q[0];
cx q[8], q[3];
rz(0.03530288352366224) q[3];
cx q[8], q[3];
cx q[0], q[3];
rz(0.25600777679691666) q[3];
cx q[0], q[3];
cx q[8], q[7];
rz(... | 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(1.5651) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIIZIIZ",
"ZZIIIIIII",
"IZIIIIIIZ",
"IZIIIZIII",
"IIIIIIZIZ",
"IIIIIZZII",
"IZIIIIZII",
"IZIIZIIII",
"IIIIZIZII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZZIIII",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZZIIIIII",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"... | [
0.16666666666666666,
0.16666666666666666,
0.25,
0.5,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.25,
0.25,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,... | 0.589299 | [
0.03530288352366224,
0.25600777679691666,
0.6848599668845964,
-0.20514959303369107,
0.2875253337565983,
1.3683781187485664,
0.8040570680344594,
0.3302936071784841,
0.6969700529681728,
0.2789386380256762,
-0.8439821268769317
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -3.750000000000001,
"target_ratio": 0.97,
"target_value": -3.6375000000000006
} | 268 |
d73d59d8534bb2db64056b6b376ab049 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, ... | {"states": [254, 127], "expectation_value": -5.913880455426702, "params": null, "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 94, "probabilities": [0.10228472684526303, 0.6377089454731641], "optimization_time": 166.80070233345032} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(7) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.005064912194396915) q[0];
h q[1];
h q[2];
ry(0.9589973018286959) q[2];
h q[3];
ry(0.7378068905099483) q[3];
h q[4];
ry(0.7863653826074786) q[4];
cx q[1], q[4];
ry(-0.7863653826074786) q[4];
cx q[1], q[4];
ry(0.615145956876229) q[1];
cx q[4], q[1];
ry(-0.615... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5486) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIZIZII",
"IIIZZIII",
"IIIZIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
-1,
-0.5,
-1,
-0.25,
-0.5,
1,
-0.5,
-0.25,
-0.25,
0,
0.25,
0.5,
0,
-0.25,
0
] | 0.964081 | [
1.5727307652149571,
1.230291913752458,
1.37517991160965,
0.01012982438879383,
1.1582819451599344,
1.4756137810198966,
1.9179946036573918,
0.08411732952884575,
-1.5908435587309175,
0.32570684555070145,
-1.2157163442926513,
0.9603941445078414,
-0.34705473550456495,
-0.11276548911115365,
1.... | {
"n_parameters": 53,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 500 |
473775bc8d8b4cca680d00f7b64c1aa1 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [36, 3], "expectation_value": -2.9937275138963546, "params": [[0.056900000000000006], [-0.0517]], "bitstrings": ["011011", "111100"], "total_optimization_steps": 10, "probabilities": [0.0192540990731019, 0.01944349546747679], "optimization_time": 2.1491570472717285} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 16 | 6 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 70.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022388232708840404) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022388232708840404) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022388232708840404) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.022388232708840404) 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;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
-6.25,
-5.75,
-6.25,
-5.75,
-5.5,
-5.5
] | 0.970792 | [
0.022388232708840404,
-0.16546972504389865,
1.387189998889542,
1.1317721305414625,
-1.0291416278486831,
1.3553919116902904,
-0.24772195907827305,
-0.6852193775874179,
1.0091668921719015,
0.9126657422045303,
0.15550491965267638,
0.23151516878776346
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 42 |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [245, 427], "expectation_value": -2.1764996231616967, "params": [[-0.0505, -0.0585, -0.069, -0.0753], [0.060000000000000005, 0.0668, 0.07200000000000001, 0.0732]], "bitstrings": ["100001010", "001010100"], "total_optimization_steps": 10, "probabilities": [0.0065410504237997024, 0.006541050423799705], "optimi... | 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[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
85c8757124727aa7d8363baec142011e | 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": [2818, 2826], "expectation_value": -43.691772705039654, "params": [[[0.042300000000000004, 0.2828], [0.6812, 0.16160000000000002], [0.6985, 0.5483], [0.8299000000000001, 0.43860000000000005], [0.2847, 0.8913000000000001], [-0.2412, 0.8822000000000001], [0.2927, 0.5664], [-0.157, -0.09910000000000001], [0.896... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(6) @ Z(3)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(5) @ Z(10)) + 7.5 * (Z(9) @ Z(0)) + 7.5 * (Z(9) @ Z(10)) + 11.0 * Z(1) + 15.0 * Z(0) + 14.5 * Z(2) + 0.5 * Z(4) + 7.0 * Z(3) + -4.5 * Z... | 15 | 12 | 2 | {"smallest_eigenvalues": [-126.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -106.0, "smallest_bitstrings": ["010011110101"], "largest_eigenvalue": 150.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.6877157316869897) q[0];
ry(-0.01619799704118896) q[1];
ry(1.3057353793119306) q[2];
ry(-0.051853420065628535) q[3];
ry(0.2325816657158661) q[4];
ry(-0.1195072007146912) q[5];
ry(0.07509314794561937) q[6];
ry(-0.14058146352904363) q[7];
ry(0.08756606330253491) 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, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIZIIZIII",
"IIIZIIIIIIZI",
"IIIZZIIIIIII",
"IZIIIIZIIIII",
"IIZIIIIIIIIZ",
"IZZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIZIIIIII",
"IIIZIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
11,
15,
14.5,
0.5,
7,
-4.5,
5.5,
-4.5,
9,
-2.5,
4.5,
-12
] | 0.972834 | [
1.6877157316869897,
-0.01619799704118896,
1.3057353793119306,
-0.051853420065628535,
0.2325816657158661,
-0.1195072007146912,
0.07509314794561937,
-0.14058146352904363,
0.08756606330253491,
0.03170065236289006,
0.6875273340693445,
1.7766059377708527,
0.0808205375561772,
0.1800807214027885,... | {
"n_parameters": 48,
"n_qubits": 12,
"optimal_eigenvalue": -126,
"target_ratio": 0.97,
"target_value": -122.22
} | 107 |
f3708375ba6fa9c71edbcd23f9c9eca4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}]} | {"states": [8, 7], "expectation_value": -1.6943119870731012, "params": [0.765, 0.7938000000000001, 0.006500000000000001, 1.9922000000000002, 0.161, 1.1546, 0.48190000000000005, 0.2092, 0.6774, 1.1466, 0.025, 0.8722000000000001, 0.26, 1.3131000000000002, 0.4949, 0.552, -0.4602, 0.8817, -0.0297, 1.5145000000000002, 0.243... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + 0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(1) + -0.25 * Z(3) | 4 | 4 | 4 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["1000"], "largest_eigenvalue": 2.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
ry(-1.010121423472979) q[0];
h q[1];
ry(0.7853982035792615) q[1];
h q[2];
ry(1.5707956806528132) q[2];
h q[3];
cx q[3], q[1];
ry(-0.7853982035792615) q[1];
cx q[3], q[1];
ry(0.6154796274137422) q[3];
cx q[1], q[3];
ry(-0.6154796274137422) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IZIZ",
"IZZI",
"ZZII",
"ZIIZ",
"ZIZI",
"IZII",
"IIIZ",
"IIZI",
"ZIII"
] | [
-0.5,
-0.5,
-0.5,
0.75,
-0.5,
0.5,
-0.25,
0,
-0.25
] | 0.888889 | [
1.5707956806528132,
1.570796407158523,
1.2309592548274844,
-2.020242846945958,
0.5024058852687302,
-1.1213498565529063,
1.0683905653844339,
6.544803761639136e-7,
-0.07539900701000271,
-0.09494170503749731,
-1.3610082431868337e-7,
0.0949418225997358,
0.07539895788259901,
-4.123984436099256e... | {
"n_parameters": 15,
"n_qubits": 4,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 287 |
98ff52dd3a46eb29e6baf499c47cc739 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1,... | {"states": [425, 421], "expectation_value": -0.1660877736758614, "params": [0.2411, 0.1258, 0.22290000000000001, 0.12380000000000001, 0.3247, 0.0497, 0.3185, 0.054200000000000005, 0.3104, 0.07200000000000001, 0.314, 0.083, 0.272, 0.1194, 0.2711, 0.11660000000000001, 0.33590000000000003, 0.0466, 0.335, 0.0514, 0.2269000... | 0.25 * (Z(0) @ Z(1)) + -0.0006944444444444446 * (Z(2) @ Z(0)) + -0.0006944444444444446 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006944444444444446 * (Z(4) @ Z(0)) + -0.0013888888888888892 * (Z(4) @ Z(2)) + -0.0006944444444444446 * (Z(5) @ Z(1)) + -0.0013888888888888892 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 5 | 10 | 3 | {"smallest_eigenvalues": [-1.261111111111112], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2611111111111115, "smallest_bitstrings": ["1001011010"], "largest_eigenvalue": 1.261111111111111} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIIZIZIIII",
"IIZIIIIIZI",
"IIZIIIZIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIZIIIIII"... | [
0.25,
-0.0006944444444444446,
-0.0006944444444444446,
0.25,
-0.0006944444444444446,
-0.0013888888888888892,
-0.0006944444444444446,
-0.0013888888888888892,
0.25,
-0.0006944444444444446,
0.0006944444444444445,
0.0006944444444444445,
-0.0006944444444444446,
0.0006944444444444445,
0.0006944... | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
eedfffae46889ceabb09be93decddfde | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {"weight": 4, "source": 2, "target": 3}, {"... | {"states": [237, 109], "expectation_value": -41.75920082181193, "params": null, "bitstrings": ["00010010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.11663204833185992, 0.1955299066352513], "optimization_time": 167.67445015907288} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 2.0 * Z(0) + 18.0 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 138.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(4.217220369268761e-08) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(4.217220369268761e-08) q[1];
cx q[2], q[1];
rz(1.2027812523740522e-08) q[2];
rx(1.5707964081955679) q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[0], q[6];
rz(4.21722036... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(9.9081) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
2,
18,
6,
19.5,
14.5,
5,
7.5
] | 0.555556 | [
4.217220369268761e-8,
1.2027812282288794e-8,
1.5707961882202157,
1.570796334854686,
-1.5707962765535362,
1.570796408195568
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 169 |
82fbef622e63fd615445774db4f26c42 | 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": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 2, "target":... | {"states": [385, 384], "expectation_value": -29.289359844089155, "params": null, "bitstrings": ["001111110", "001111111"], "total_optimization_steps": 100, "probabilities": [0.16216624971074403, 0.2138663173663799], "optimization_time": 241.25825953483582} | -1.0 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(5)) + 1.5 * (Z(6) @ Z(5)) + -4.0 * (Z(6) @ Z(2)) + -4.0 * (Z(7) @ Z(5)) + -3.5 * (Z(7) @ Z(2)) + -4.0 * (Z(7) @ Z(6)) + -3.5 * (Z(8) @ Z(5)) + -4.0 * (Z(8) @ Z(2)) + 2.5 * (Z(8) @ Z(6)) + -4.0 * (Z(8) @ Z(7)) + -3.5 * (Z(3) @ Z(5)) + 2.0 * (Z(3) @ Z(2)) + -4.0 * (Z(3) @ Z(6)) + 2... | 1 | 9 | 1 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["001111111"], "largest_eigenvalue": 53.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(8.630344416546697e-08) q[0];
cx q[1], q[0];
rz(1.5707963749046865) q[0];
rx(-1.1971949552895071) q[0];
rz(1.5707963749046865) q[1];
rx(-1.1971949552895071) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(-0.5611320575440737) q[2... | null | {"node": 6} | {"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(-1.5577) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIZIIZII",
"IIZZIIIII",
"IIZIIIZII",
"IZIZIIIII",
"IZIIIIZII",
"IZZIIIIII",
"ZIIZIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIZIZIII",
"IIIIIZZII",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIZZIIII",
"IIIIZIZII",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"... | [
-1,
-3.5,
1.5,
-4,
-4,
-3.5,
-4,
-3.5,
-4,
2.5,
-4,
-3.5,
2,
-4,
2,
-4,
1,
2,
-3.5,
-3.5,
-4,
1.5,
0.5,
0.5,
2.5,
-3.5,
-3,
-3.5,
-3.5,
-3.5,
-3
] | 0.511948 | [
8.630344416546697e-8,
-0.5611320575440737,
-0.21701450933668928,
-0.3653421325506257,
-0.24464438585254125,
-0.24503752903089412,
-0.23743744652107115,
1.570796374904687,
-1.0492214240862234,
-1.1971949552895074
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -60,
"target_ratio": 0.97,
"target_value": -58.199999999999996
} | 283 |
f438dd84874324e8039dc4edeb3bf57b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [5, 29], "expectation_value": -7.4671867379307, "params": null, "bitstrings": ["111010", "100010"], "total_optimization_steps": 41, "probabilities": [0.06911670361740486, 0.8393954505033191], "optimization_time": 33.867090463638306} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + 0.0 * Z(2) + -1.5 * Z(5) + 1.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.08518445392886709) q[0];
h q[1];
ry(0.7344530129428192) q[1];
h q[2];
cx q[2], q[1];
ry(-0.7344530129428192) q[1];
cx q[2], q[1];
ry(1.0101684841631557) q[1];
ry(0.3778026982403184) q[2];
h q[3];
ry(1.4689060258856383) q[3];
cx q[3], q[2];
ry(-0.37780269824... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"IZIIIZ",
"IZIIZI",
"IZIZII",
"IIIZZI",
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IIZIZI",
"IIZZII",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"ZIIIII",
"IIZIII"
] | [
-0.75,
-0.5,
-0.5,
-2,
1,
-1,
-0.75,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
1,
0,
-1.5,
1.5
] | 0.970023 | [
1.4689060258856383,
0.7556053964806368,
1.0101684841631557,
0.7450025616198421,
1.116283706090253,
0.17036890785773418,
-1.7697599114863298,
-0.4403637208421415,
1.9537061785283334,
-1.0502727024979575,
-0.15078201215917703,
-0.018246425341645917,
0.10291598989964974,
0.5684135011893949,
... | {
"n_parameters": 19,
"n_qubits": 6,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 137 |
b4844a241e7c75ea7eb690acd3c4c004 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [349, 413], "expectation_value": -5.169930610951368, "params": null, "bitstrings": ["010100010", "001100010"], "total_optimization_steps": 54, "probabilities": [0.026413325143174803, 0.9199483870407077], "optimization_time": 73.6802179813385} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.25, "smallest_bitstrings": ["001010100", "001100010", "100001010", "010001100", "010100001", "100010001"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| null | {"number_of_colors": 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(1.5681) 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,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
5dcd5fefc0e3088cb64ffe464a9a8b84 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"s... | {"states": [4094, 8191], "expectation_value": -20.798458215567198, "params": [[[-0.9406, 1.1101], [-0.0025, 1.1051], [-0.0024000000000000002, -0.0022], [-0.0035, 0.001], [-0.0023, 0.08460000000000001], [-0.0021000000000000003, 0.0019], [-0.0027, -0.003], [-0.003, -0.0023], [0.0021000000000000003, -0.0027], [-0.0028, -0... | 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(7)) + -2.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 1.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(9)) + -3.0 ... | 15 | 13 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["0000000000000"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.12337187730006545) q[0];
ry(0.027226914511227246) q[1];
ry(0.0033273813093138843) q[2];
ry(0.19048105032645063) q[3];
ry(-0.0334740564402847) q[4];
ry(0.03296321623483198) q[5];
ry(0.06728331516255123) q[6];
ry(0.053086284130094155) q[7];
ry(0.021331547657590322)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZIZ",
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIZIIZ",
"IIIIIIIIIZZII",
"IIIIIIIIIZIZI",
"IIIIIZIIZIIII",
"IIIIIZIZIIIII",
"IIIIIIIZZIIII",
"IIIZIZIIIIIII",
"IIIZIIIZIIIII",
"IIIIIZZIIIIII",
"IIIIIIZZIIIII",
"IIIZIIZIIIIII",
"IIIIZZIIIIIII",
"IIIIZIIIZIIII",
"IIIIZIIZIII... | [
0.5,
-2,
-2.5,
0.5,
0.5,
-2,
-2,
-2.5,
0.5,
1,
-2.5,
0.5,
0.5,
-2,
-3,
0.5,
1,
-2.5,
-2,
-1.5,
-1.5,
-1.5,
0.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.974733 | [
-0.12337187730006545,
0.027226914511227246,
0.0033273813093138843,
0.19048105032645063,
-0.0334740564402847,
0.03296321623483198,
0.06728331516255123,
0.053086284130094155,
0.021331547657590322,
-0.1231803494793982,
0.07285731047502528,
-0.005480398634345962,
3.131531214800863,
0.020447710... | {
"n_parameters": 17,
"n_qubits": 13,
"optimal_eigenvalue": -27.5,
"target_ratio": 0.97,
"target_value": -26.675
} | 30 |
f848d40cbfa43815a8aa73d15a4c0574 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 6}, {"source": 3, "target": 4}]} | {"states": [0, 8], "expectation_value": -2.890436777907998, "params": [0.0024000000000000002, 0.002, 0.0026000000000000003, 0.0081, 1.6017000000000001, 0.006200000000000001, 0.0025, 0.006500000000000001, 0.0027, 0.0076, 0.0027, 0.007200000000000001, 0.009600000000000001, 0.0058000000000000005, 0.0063, 0.005200000000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 18 | 6 | 1 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["110111"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.522122814442769) q[0];
h q[1];
ry(-1.554533748668052) q[1];
ry(-3.049141161380527) q[2];
rz(-pi) q[2];
cx q[0], q[2];
ry(0.04377797985713864) q[2];
cx q[0], q[2];
ry(-0.046724568819678486) q[0];
cx q[2], q[0];
ry(0.046724568819678486) q[0];
cx q[2], q[0];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"IIIZIZ",
"IIZIZI",
"IIIZZI",
"IIZZII",
"IIZIZZ",
"IIIZZZ",
"IIZZIZ",
"IIZZZI",
"IIZZZZ",
"ZIIZII",
"IZIZII",
"ZZIIII",
"ZZIZII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
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,
-0.625,
-0.625,
-0.625,
0.125,
-0.75,
-0.75
] | 0.973378 | [
-1.554533748668052,
-0.864962968929314,
1.522122814442769,
1.1323824480941402,
-0.6313506460324426,
1.5398346705677213,
0.27570323119812223,
-0.3075256053707013,
0.25356253493994757,
-0.25646521288722784,
-0.08755595971427728,
-0.09344913763935697,
0.11012478834184519,
-0.1749207751871755,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 6 |
20a60ed013bc1976376f734be7d8d92c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [6, 9], "expectation_value": -0.0853445290522351, "params": [[-0.0413, -0.043000000000000003, 0.023200000000000002], [0.049, 0.056600000000000004, 0.0089]], "bitstrings": ["1001", "0110"], "total_optimization_steps": 10, "probabilities": [0.06973794603284128, 0.06973794603284128], "optimization_time": 1.6497... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZZII",
"IZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
d1df537b8f7eacc6f0ca14b18760c116 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [441, 509], "expectation_value": -8.499302853593848, "params": null, "bitstrings": ["1001000110", "1000000010"], "total_optimization_steps": 98, "probabilities": [0.23031531104549027, 0.7031321229121374], "optimization_time": 226.22908186912537} | 1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z... | 1 | 10 | 4 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000000001", "1000000010", "1001000110", "1001000101"], "largest_eigenvalue": 28.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.7937705898048096) q[0];
h q[1];
ry(0.6192559707330874) q[1];
h q[2];
ry(1.545665404851387) q[2];
h q[3];
ry(0.8722854136704878) q[3];
h q[4];
ry(1.545665404851387) q[4];
cx q[4], q[1];
ry(-0.6192559707330874) q[1];
cx q[4], q[1];
cx q[4], q[0];
ry(0.79377... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] 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];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... | [
"IIIIIIIZZI",
"IIZIIIZIII",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIZIIZIIII",
"IIIIZIZIII",
"IIZIZIIIII",
"IIIIZZIIII",
"IIIZIIZIII",
"IIZZIIIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIZIIIZ",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZIIIIIIIZ"... | [
1,
-1,
0.5,
0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
2,
2,
1.5,
-1.5,
2.5,
1.5,
1.5,
0.5,
-1,
-1
] | 0.99397 | [
1.545665404851387,
1.7445708273409757,
1.5815739478927993,
1.2385119414661747,
-1.5875411796096193,
1.0341795361675983,
1.443948565645053,
-1.2687313125160538,
0.7910102675394354,
-0.49367531849502655,
0.5884490707767628,
-0.34137358121040356,
0.3593949234668095,
0.15884005412046098,
0.3... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 1 |
e4cdc6bcf94181f6f6aa6dc310dcdb0a | 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": 8, "source": 0, "target": 1}, {"weight": 12, "source": 1, "target": 6}, {"weight": 18, "source": 1, "target": 5}, {"weight": 8, "source... | {"states": [252, 220], "expectation_value": -56.79119929215127, "params": [0.1656, -0.101, 0.16720000000000002, -0.1061, 0.3912, 0.0618, 0.3957, 0.0041, 0.3909, 0.0531, 0.39330000000000004, 0.022500000000000003, 0.1983, -0.08950000000000001, 0.1938, -0.0955, 0.39430000000000004, 0.0758, 0.39740000000000003, 0.0212, 0.3... | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 16.0 * Z(2) + 4.0 * Z(0) + 14.0 * Z(1) + 10.0 * Z(4) + 9... | 5 | 9 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.06321512412760849) q[0];
rz(1.6372468433236769) q[0];
rx(0.7739699315904423) q[1];
rz(1.5480123213631103) q[1];
rx(0.9789484960435509) q[2];
rz(1.4339472161300897) q[2];
rx(1.2176998173454103) q[3];
rz(1.2208642356705939) q[3];
rx(1.0711612765616074) q[4];
rz(1.42... | 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": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIZIIZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
16,
4,
14,
10,
9,
5.5,
17.5,
5,
4
] | 0.973783 | [
-0.06321512412760849,
0.0664505165287797,
0.7739699315904425,
-0.022784005431786117,
0.978948496043551,
-0.13684911066480668,
1.2176998173454103,
-0.3499320911243027,
1.0711612765616074,
-0.14212722874595163,
1.1543272280015908,
-0.09145936050844823,
0.9765552437107387,
0.11281795144568528... | {
"n_parameters": 78,
"n_qubits": 9,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 11 |
919ebe96150ea33963e1b88a334f3105 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 3, ... | {"states": [123, 127], "expectation_value": -4.227183179284812, "params": null, "bitstrings": ["10000100", "10000000"], "total_optimization_steps": 73, "probabilities": [0.3544920382352946, 0.5374424118356347], "optimization_time": 102.56871914863586} | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.25 * Z(7) + -0.25 * Z(0) + -2.5 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.47997180051034355) q[0];
h q[1];
ry(0.7419521490927121) q[1];
h q[2];
ry(0.7805616775622914) q[2];
h q[3];
ry(1.6653574126053823) q[3];
h q[4];
ry(0.8326787063026911) q[4];
h q[5];
ry(0.8326787063026911) q[5];
cx q[3], q[5];
ry(-0.8326787063026911) q[5];
c... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"ZIIIIIIZ",
"IZIIIIZI",
"IIIIIZZI",
"IZIIZIII",
"IZIZIIII",
"IIIZIZII",
"IIIZZIII",
"ZIZIIIII",
"IZZIIIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.25,
-1.25,
-1,
-0.75,
-0.75,
-0.75,
-1.5,
-0.5,
-0.25,
-1.75,
-0.25,
-1.25,
-0.25,
-0.25,
-2.5,
-1.5,
0.25,
2.5,
-0.25,
2
] | 0.982925 | [
1.6653574126053823,
1.561123355124583,
1.4839042981854242,
1.4663457416610364,
-0.9599436010206871,
1.605096316058872,
-0.46828747053853337,
0.1743353193150963,
0.01566324934925098,
-0.12821055154197955,
0.5585485193403721,
0.1633788020804623,
-0.4348264220333006,
-0.22682935549148475,
0... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 5 |
f975feb577a84d57f4556f4e8a37e959 | 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": 4}, {"source": 1, "target": 4}, {"source": 2, "... | {"states": [96, 4064], "expectation_value": -25.621511385188676, "params": [[[-0.0027, 0.0079], [-0.0025, 0.0032], [-0.0027, 0.0088], [-0.0024000000000000002, 0.0086], [1.4766000000000001, 0.0041], [0.2938, 0.0082], [1.7079, 0.005], [0.0018000000000000002, 0.009000000000000001], [-0.0029000000000000002, 0.001], [0.003,... | -2.0 * (Z(0) @ Z(2)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + -3.0 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(7)) + -2... | 2 | 12 | 1 | {"smallest_eigenvalues": [-29.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["000000011111"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.12207840648320603) q[0];
rz(-0.08828916705328338) q[0];
rx(0.038504915599945955) q[1];
rz(0.34515330330127436) q[1];
rx(0.12207840648320603) q[2];
rz(-0.16458220869207776) q[2];
rx(0.003445997251287341) q[3];
rz(-0.25944294208200674) q[3];
rx(0.41094886730144964) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIZIZII",
"IIIIIIIZIIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIIIIIIIZIZI",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"IIZIZIIIIIII",
"IZIZIIIIIIII",
"IZIIZIIIIIII",
"IZZIIIIIIIII",
"ZIIZIIIII... | [
-2,
-2.5,
-2.5,
0.5,
0.5,
-2.5,
-2,
1,
-2.5,
0.5,
-1,
-2,
-3,
-2.5,
-2.5,
0.5,
1,
0.5,
0.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1.5,
1,
-2.5,
-2,
-1.5
] | 0.980088 | [
0.12207840648320603,
-0.08828916705328338,
0.038504915599945955,
0.34515330330127436,
-0.16458220869207776,
0.003445997251287341,
-0.25944294208200674,
0.41094886730144964,
0.18456067658726327,
0.05510088901618231,
0.23016917930564504,
3.0348027973689655,
-0.2858277817877409,
0.00369907433... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -29,
"target_ratio": 0.97,
"target_value": -28.13
} | 13 |
fc7b19754949f0e05a27875fb69f344a | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [24, 31], "expectation_value": -15.125493274049944, "params": null, "bitstrings": ["11100111", "11100000"], "total_optimization_steps": 54, "probabilities": [0.16125197062073443, 0.2518508410661102], "optimization_time": 66.47167587280273} | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 53.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.039738840687134236) q[0];
rz(-0.2353337499900654) q[0];
rx(-0.039738840687134236) q[1];
rz(-0.021455568999004995) q[1];
rx(0.00241554966618817) q[2];
rz(0.13687828871885735) q[2];
rx(2.1135641398643044) q[3];
rz(0.09140913237800194) q[3];
rx(3.251386907726556) q[4... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(62.9199) q[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... | [
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII"
] | [
2,
6,
3,
-1,
-0.5,
-1.5,
-2,
-1,
-3,
1,
-0.25,
-0.25,
-0.125,
9,
4.5,
13.5,
-1.5,
-3,
-1,
-0.5,
-0.5
] | 0.972155 | [
-0.039738840687134236,
-0.2358725824553829,
-0.021455568999004995,
0.00241554966618817,
0.13687828871885735,
2.1135641398643044,
0.09140913237800194,
3.251386907726556,
0.10228857007698645,
3.096010759129636,
-0.05175610628712672,
-2.9402631276470084,
0.16839375237658555,
-2.80609486114488... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -22.125,
"target_ratio": 0.97,
"target_value": -21.46125
} | 4 |
2749047177741992869 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 10, 4, 6], [8, 2, 3, 7], [9, 5], [4, 5], [0, 11], [0, 1, 10, 7], [2, 11, 5, 7], [0, 2, 6, 7, 8], [2, 11, 6], [1, 5, 6, 8, 11], [1, 2, 3, 4, 8], [0, 6, 7, 8, 10], [1, 2, 6, 9], [0, 9, 4], [1, 3, 6, 7], [1, 3, 8, 10, 11], [1, 11, 9, 6], [2, 4, 6, 7, 9],... | {"states": [191, 447], "expectation_value": -6.750280916083273, "params": [-0.0024000000000000002, -0.0024000000000000002, 0.0023, 0.0023, 3.1392, 3.1388000000000003, -0.9236000000000001, 0.9239, 1.6085, 1.5283, -0.0025, -0.0025, 1.5705, 1.5756000000000001, 1.5659, 1.5707, 1.5692000000000002, 1.5669000000000002, 1.5772... | 0.35 * (Z(1) @ Z(10)) + 0.25 * (Z(4) @ Z(10)) + 0.21666666666666667 * (Z(4) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(10)) + 0.3833333333333333 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.18333333333333335 * (Z(8) @ Z(10)) + 0.39999999999999997 * (Z(8) @ Z(1)) + 0.3 * (Z(8) @ Z(4)) + 0.2 * (Z(8) @ Z(6)) +... | 13 | 12 | 1 | {"smallest_eigenvalues": [-6.766666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.7333333333333325, "smallest_bitstrings": ["111001000000"], "largest_eigenvalue": 29.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.02051794351299072) q[0];
rz(0.06865179643615647) q[0];
ry(0.021910829716754735) q[1];
ry(3.1508328968974575) q[2];
ry(-1.0998046180279202) q[3];
ry(1.6417286648694198) q[4];
ry(-0.08014791767250395) q[5];
ry(1.6363943793702667) q[6];
ry(1.6408156818183046) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIIIIZI",
"IZIIIIIZIIII",
"IIIIIIIZIIZI",
"IZIIIZIIIIII",
"IIIIIZIIIIZI",
"IIIIIZIZIIII",
"IZIZIIIIIIII",
"IIIZIIIIIIZI",
"IIIZIIIZIIII",
"IIIZIZIIIIII",
"IZIIIIIIIZII",
"IIIIIIIIIZZI",
"IIIIIIIZIZII",
"IIIIIZIIIZII",
"IIIZIIIIIZII",
"IZIIIIIIZIII",
"IIIIIIIIZIZI",
"IIIIIIIZZ... | [
0.35,
0.25,
0.21666666666666667,
0.13333333333333333,
0.3833333333333333,
0.13333333333333333,
0.18333333333333335,
0.39999999999999997,
0.3,
0.2,
0.21666666666666667,
0.21666666666666667,
0.26666666666666666,
0.35,
0.18333333333333335,
0.26666666666666666,
0.23333333333333334,
0.0... | 0.990299 | [
-0.02051794351299072,
0.021910829716754735,
3.1508328968974575,
-1.0998046180279202,
1.6417286648694198,
-0.08014791767250395,
1.6363943793702667,
1.6408156818183046,
1.5629145624323433,
1.4026981037617212,
1.5348016448278965,
1.4690026601781012,
0.13730359287231295,
0.057039357292051104,
... | {
"n_parameters": 43,
"n_qubits": 12,
"optimal_eigenvalue": -6.766666666666666,
"target_ratio": 0.97,
"target_value": -6.563666666666665
} | 1 |
7213bcdac492d012065ef417f31c81b5 | 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": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 7}, {"weight": 11, "source": 0, "target": 3}, {"weight": 8, "source": 2, "targ... | {"states": [250, 220], "expectation_value": -46.06596461517641, "params": null, "bitstrings": ["100000101", "100100011"], "total_optimization_steps": 100, "probabilities": [0.09568347035152093, 0.25239527285272545], "optimization_time": 186.32098007202148} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 165.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.20340396474871564) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.20340396474871564) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.20340396474871564) q[1];
cx q[0], q[1];
rz(0.5775232461541333) q[0];
rx(0.06917124980124593) q[0];
h q[3];... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(3.0513) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10.5,
2.5,
19,
13,
12,
15,
21.5,
-2,
6
] | 0.97222 | [
0.20340396474871564,
-0.3067038430799865,
0.5775232461541325,
-1.6381325054182243,
-0.4463172640294553,
-1.5867492627759474,
-1.750354489443055,
-1.983169579287282,
0.5800697346675281,
0.09245405732541026,
0.06917124980124599,
0.22803559221962097,
-0.40505351954549285,
0.10795793888031349,... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -81,
"target_ratio": 0.97,
"target_value": -78.57
} | 70 |
8abcecb9be692ba9d31a27398366ffa4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [33, 1], "expectation_value": -2.361614650798741, "params": [[-0.057100000000000005, -0.0621, -0.054, -0.028300000000000002], [0.0708, 0.0753, 0.0723, 0.059300000000000005]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.030794072112723267, 0.03924218926795632], "o... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @... | 1 | 7 | 4 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5490827494225263) q[0];
rz(-pi) q[1];
ry(-0.28233305796915187) q[1];
h q[2];
ry(-1.5490827494225263) q[2];
h q[3];
ry(-1.5490827494225263) q[3];
h q[4];
ry(-1.5490827494225263) q[4];
h q[5];
ry(-1.5490827494225263) q[5];
h q[6];
ry(1.5893740482243686) q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] 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",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIIZ",
"IIZIZII",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
-0.75,
2,
-0.25,
0.75,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
1.75
] | 0.997733 | [
1.5893740482243686,
-1.5490827494225263,
-1.8450825844559562,
-0.01609360061618495
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 1 |
b426b8aff164c6823b185eb6b091738d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [18, 28], "expectation_value": -0.05601476511159269, "params": [[0.0519], [-0.042]], "bitstrings": ["101101", "100011"], "total_optimization_steps": 10, "probabilities": [0.01617365173510519, 0.0164494890796792], "optimization_time": 1.4677636623382568} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 1 | {"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[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IZIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-1,
-0.5
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
7785e3e7ad6fcc746d4b86c67fd57c41 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3... | {"states": [63, 45], "expectation_value": -0.7323125294422616, "params": [[0.07640000000000001], [-0.08360000000000001]], "bitstrings": ["1000000", "1010010"], "total_optimization_steps": 10, "probabilities": [0.010209431629677697, 0.010327705939649571], "optimization_time": 2.957512855529785} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + 1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(4) + 2.25 * Z(1) + -2.5 * Z(3) + -1.25 * Z(5)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1011010", "1010010"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.4770183040301989) q[0];
h q[1];
ry(1.5600588358649419) q[1];
rz(-pi) q[2];
ry(-0.049828445060759584) q[2];
cx q[1], q[2];
ry(0.39130269635166626) q[2];
cx q[1], q[2];
ry(-0.009441086677882307) q[1];
ry(0.17246191439933098) q[2];
h q[3];
ry(-1.1835966050189... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IIIIZZI",
"IIZIIZI",
"IIZZIII",
"IIIZIZI",
"IZIIZII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.25,
-0.75,
-0.25,
-0.25,
-1.25,
-1.25,
-0.75,
-0.5,
1.25,
-1.25,
0.25,
-0.25,
1.5,
2.25,
-2.5,
-1.25,
0
] | 0.971442 | [
-1.1835966050189877,
-1.9623389505959945,
-0.3056669926877728,
0.6498635111692677,
1.5600588358649419,
-0.9540366080603978,
-1.22932207550399,
-0.7826053927033325,
-0.5557969344496055,
-0.018882173355764614,
0.4002954472560074,
1.22108309746494,
0.34492382879866196,
1.3682006687738621,
0... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 72 |
a600d047aa28c30c441e2aa233739b7a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [108, 92], "expectation_value": -5.999128330009992, "params": null, "bitstrings": ["0010011", "0100011"], "total_optimization_steps": 36, "probabilities": [0.0655282774722971, 0.9338520119778738], "optimization_time": 33.84220337867737} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(5) + -0.5 * Z(0) + -2.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["0100011", "0010011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3552108084077015) q[0];
h q[1];
ry(-0.4874831096631151) q[1];
h q[2];
cx q[2], q[1];
ry(0.4874831096631151) q[1];
cx q[2], q[1];
ry(-0.6397925592762816) q[1];
ry(0.8278733011707379) q[2];
cx q[0], q[2];
ry(-0.22688363096049208) q[2];
cx q[0], q[2];
cx q[0],... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IZIIIIZ",
"ZZIIIII",
"ZIIIIIZ",
"IZIIIZI",
"ZIIIIZI",
"IZIIZII",
"ZIIIZII",
"IIIIZZI",
"IZIZIII",
"ZIIZIII",
"ZIZIIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-2.5,
-1,
-1,
-0.5,
0
] | 0.994807 | [
-1.6429228358157495,
1.3552108084077015,
-0.9749662193262302,
0.6009896702102457,
-0.44532252176755166,
0.45376726192098416,
-0.3889400750174599,
0.24808446137787232,
-0.1650064356971122,
0.0761369428508101,
0.16875073918238181,
0.062165518547061156,
0.21555729404213014,
0.0369350501633928... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 1 |
f6b40868ad1271b984ef2a6d0bdb0733 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1023, 63], "expectation_value": -25.054306291032336, "params": [[[0.0024000000000000002, 0.0049], [0.0024000000000000002, 0.00030000000000000003], [0.0023, 0.008700000000000001], [-1.6257000000000001, 0.0088], [0.0023, 0.0024000000000000002], [-0.0024000000000000002, 0.0051], [0.0023, 0.0004], [0.0022, 0.00... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (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)) + -2.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -3.0 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(9) @ Z(5)) + -2.5 * (Z(9) @ Z(4)) + 0.... | 2 | 10 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.0, "smallest_bitstrings": ["1111000000"], "largest_eigenvalue": 30.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.003797919941799047) q[0];
rz(0.23167467948113837) q[0];
rx(0.003797919941799047) q[1];
rz(-0.009286759366832847) q[1];
rx(-0.014883227401278364) q[2];
rz(0.008884925351706943) q[2];
rx(-1.8488526772526324) q[3];
rz(-0.01499168033841966) q[3];
rx(-0.014883227401278... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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] ... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IIZIZIIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"ZIIIZIIIII",
"ZIIIIZIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"IZIIIZIIII",
"IZIZIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ"... | [
-2.5,
-2.5,
-2.5,
-2.5,
1,
-2.5,
-2.5,
0.5,
-3,
0.5,
-2.5,
0.5,
-1.5,
-2.5,
0.5,
0.5,
0.5,
-1.5,
-2,
1.5,
-2,
1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970931 | [
0.003797919941799047,
0.23167467948113837,
-0.009286759366832847,
-0.014883227401278364,
0.008884925351706943,
-1.8488526772526324,
-0.01499168033841966,
-0.006271973097748851,
-0.08686937861924099,
-0.03212803224079441,
-0.06784470721557925,
0.03448323826113671,
-0.0018258123671673274,
0.... | {
"n_parameters": 16,
"n_qubits": 10,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 4 |
834390fba4c480def6c6a26217d7a9af | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5... | {"states": [35, 33], "expectation_value": -2.3051416497308965, "params": [[-0.054, -0.050300000000000004, -0.058300000000000005, -0.055], [0.0609, 0.059300000000000005, 0.0634, 0.0603]], "bitstrings": ["1011100", "1011110"], "total_optimization_steps": 10, "probabilities": [0.024183155914363492, 0.02653115869167566], "... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + 1.5 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1011110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(2.869273259256995) q[0];
ry(0.09542235691189135) q[0];
rz(-1.8369290239007654) q[0];
rz(-1.3551396718991269) q[1];
ry(2.50727987045565) q[1];
rz(1.7167877129662905) q[1];
rz(2.3001577391064183) q[2];
ry(0.08000879805697068) q[2];
rz(-0.6784659726885094) q[2];
rz(-1.9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI"
] | [
-0.25,
-0.75,
-0.75,
-0.75,
-0.25,
2.25,
-0.25,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
1.5,
1.5
] | 0.97592 | [
-0.005918934518704563,
0.49370722410123724,
-0.8849965050263602,
0.07845337494703145,
0.02616735845959705,
0.7776578446832089,
-0.05296051004187756,
0.6678277614367606,
0.20933129799598119,
0.8357708806427091,
-0.050070225743099474,
0.7236417753361262,
1.1561876310254893,
-0.03088305928298... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 4 |
-7019049748300278391 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[5, 7], [9, 2, 1], [9, 10, 6], [9, 10, 3], [0, 11, 5], [11, 13], [0, 13], [4, 12, 13], [11, 2, 3], [5, 6], [9, 12], [2, 12, 6], [1, 4, 13], [9, 3, 5], [8, 10], [11, 12, 7], [2, 13, 5], [9, 10, 5], [9, 10, 4], [8, 13], [8, 2], [9, 2, 5], [8, 11], [... | {"states": [7951, 7439], "expectation_value": -10.01221513863093, "params": [-0.0028, -0.0028, 1.5639, 1.5738, 1.566, 1.5710000000000002, 1.5741, 1.5721, 2.3669000000000002, 2.4213, 1.5736, 1.5727, -0.0025, -0.0025, -0.0026000000000000003, -0.0026000000000000003, -0.0023, -0.0023, 0.0022, 0.0023, -1.5893000000000002, -... | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.3333333333333333 * (Z(2) @ Z(5)) + 0.3333333333333333 * (Z(2) @ Z(9)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(10) @ Z(5)) + 0.6666666666666666 * (Z(10) @ Z(9)) + 0.16666666666666666 * (Z(10)... | 13 | 14 | 1 | {"smallest_eigenvalues": [-10.166666666666536], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.166666666666512, "smallest_bitstrings": ["10001011110000"], "largest_eigenvalue": 30.500000000000075} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(-0.017096546677162393) q[0];
rz(-0.014552943557690037) q[0];
ry(1.486988246718151) q[1];
ry(1.697380565455056) q[2];
ry(1.551898695149514) q[3];
ry(2.371402059573805) q[4];
ry(1.5290378090786152) q[5];
ry(-0.020588056886750764) q[6];
ry(-0.06333684415865219) q[7];
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": []} | [
"IIIIIIZIZIIIII",
"IIIIZIIIZIIIII",
"IIIIIIZIIIIZII",
"IIIIIIIIZIIZII",
"IIIIZIIIIIIZII",
"IIIIZIIIIIIIZI",
"IIIIIIIIIIIZZI",
"IIIZIIIIZIIIII",
"IIIZZIIIIIIIII",
"IIIZIIIIIIIZII",
"IIIZIIIIIIIIZI",
"IIIIIIIZZIIIII",
"IIIIZIIZIIIIII",
"IIIIIIIZIIIZII",
"IIIIIIIZIIIIZI",
"IIIZIIIZIIIIII"... | [
0.5,
0.5,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.6666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.3333333333333333,
0.1666666666... | 0.976796 | [
-0.017096546677162393,
1.486988246718151,
1.697380565455056,
1.551898695149514,
2.371402059573805,
1.5290378090786152,
-0.020588056886750764,
-0.06333684415865219,
-0.023442964370832084,
-0.07497884789915217,
-1.7411611318248295,
1.5089891851077548,
1.908343311490771,
1.511528348456391,
... | {
"n_parameters": 47,
"n_qubits": 14,
"optimal_eigenvalue": -10.166666666666536,
"target_ratio": 0.97,
"target_value": -9.86166666666654
} | 1 |
478b0d0e79aaa383d09e0a7385a1b956 | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 4, "ta... | {"states": [127, 31], "expectation_value": -0.07501908787606815, "params": [[0.0171], [-0.0204]], "bitstrings": ["0000000", "1100000"], "total_optimization_steps": 10, "probabilities": [0.00805731753855151, 0.008057317538551512], "optimization_time": 1.351069450378418} | -1.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(5)) + -2.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 1.0 * Z(0) + -1.0 * Z(1) + 0.5 * Z(5) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) | 5 | 7 | 1 | {"smallest_eigenvalues": [-12.5, -12.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.5, "smallest_bitstrings": ["0000000", "1100000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-1.5707963469701147) q[1];
cx q[0], q[1];
rz(0.6829935915551051) q[0];
rx(-0.9110572799048245) q[0];
rz(0.6829935705560533) q[1];
rx(-0.9110572799048247) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(-0.767929826216009) q[2];
... | 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[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[5], q[2];
rz(x1)... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIZII",
"IZIZIII",
"IIIZZII",
"IZZIIII",
"IIZZIII",
"ZZIIIII",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-1.5,
-2,
-2.5,
0.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.567703 | [
-1.5707963469701147,
-0.767929826216009,
-0.8228040866338426,
-0.1486820224273318,
0.6829935915551049,
0.6829935705560533,
-0.9110572799048248
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 188 |
bd4d5e09460e489b3a7687d2fb06fc0c | 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": 5}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}]} | {"states": [56, 24], "expectation_value": -2.756825456460957, "params": [[[0.40490000000000004, -0.0429, 0.0011, 0.0056], [0.39640000000000003, 0.1423, 0.4043, -0.0635], [0.39730000000000004, 0.0477, 0.4063, 0.1275], [-0.1918, 0.0694, 0.2446, 0.01], [0.0019, -0.0442, -0.0063, 0.07640000000000001], [0.001700000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(5) | 11 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["100111", "011011", "010111"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.101713997269887) q[0];
rz(-pi) q[0];
h q[1];
ry(1.3824691322518885) q[1];
ry(-0.07133908291424587) q[2];
rz(-pi) q[2];
ry(-0.07133908291424587) q[3];
rz(-pi) q[3];
h q[4];
ry(1.3727000906326838) q[4];
cx q[4], q[3];
ry(0.07548237674769742) q[3];
cx q[4], q[3];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZZII",
"IZIIIZ",
"ZIIZII",
"IIZIZI",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-1
] | 0.996181 | [
-1.4239748671329533,
1.3727000906326838,
1.3824691322518885,
-0.15096475349539484,
0.2968970764462026,
0.07546821301355022,
0.12089166435976527,
0.055497320060175215,
-0.023875771095612494,
0.007170258760450595,
0.037450392513724055
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
901818354894385254 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 4], [2, 6], [0, 5], [1, 2], [3, 6]]} | {"states": [88, 30], "expectation_value": -2.219138854975561, "params": null, "bitstrings": ["0100111", "1100001"], "total_optimization_steps": 51, "probabilities": [0.05206360526272468, 0.7254807705063921], "optimization_time": 40.461742639541626} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["0011110", "0100111", "1011000", "1100001"], "largest_eigenvalue": 2.5} | 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(0.9766320057040958) q[0];
cx q[4], q[0];
rz(7.520350564504952e-09) q[4];
rx(-0.785398161408124) q[4];
h q[5];
cx q[0], q[5];
rz(0.9766320057040958) q[5];
cx q[0], q[5];
rz(7.520350564504952e-09) q[0];
rx(-0.78539... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[3], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIZIIIZ",
"ZIIIZII",
"IZIIIIZ",
"IIIIZZI",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IZIIIII",
"IIIIIZI",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.609771 | [
0.9766320057040958,
7.520350108990118e-9,
-0.7853981614081239
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 97 |
8739156162433753281 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 3, 5, 7, 9, 11], [1, 2, 4, 5, 7, 10], [1, 3, 9, 7], [1, 4, 6, 7, 11], [1, 2, 6, 8, 9], [4, 5, 6, 7, 11], [8, 9, 11, 7], [0, 1, 3, 4, 7, 10], [2, 12, 5], [0, 2, 3, 4, 8, 11], [0, 4, 5, 6], [0, 1, 6, 8, 9, 12], [9, 10, 2, 5], [3, 4, 7, 9, 10, 12], [... | {"states": [3822, 3830], "expectation_value": -4.882446297082445, "params": [0.002, 1.2199, 0.002, 0.004200000000000001, 1.7683, 0.024, 1.0572000000000001, -0.0637, 1.5674000000000001, 0.0027, 1.5687, 0.006900000000000001, 1.5828, 0.0029000000000000002, 1.5648, 0.6642, 0.0026000000000000003, 1.4420000000000002, 0.0025,... | 0.1 * (Z(0) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(3)) + 0.11666666666666667 * (Z(5) @ Z(0)) + 0.35 * (Z(7) @ Z(3)) + 0.23333333333333334 * (Z(7) @ Z(0)) + 0.16666666666666669 * (Z(7) @ Z(5)) + 0.15 * (Z(9) @ Z(3)) + 0.06666666666666667 * (Z(9) @ Z(0)) + 0.2833333333333333 * (Z(9) @ Z(5)) + 0.23333333333333334 * (Z(... | 8 | 13 | 1 | {"smallest_eigenvalues": [-5.200000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.983333333333333, "smallest_bitstrings": ["1000100001001"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.047254267741341754) q[0];
rz(2.8540470359271204) q[0];
rx(1.9156799285108506) q[1];
rz(0.03440567356916022) q[1];
cx q[1], q[0];
ry(0.02362713387067088) q[0];
cx q[1], q[0];
ry(-0.07088140161201265) q[0];
rz(-1.4223269230753672) q[0];
rx(0.9353753567081698) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIIZ",
"IIIIIIIZIZIII",
"IIIIIIIZIIIIZ",
"IIIIIZIIIZIII",
"IIIIIZIIIIIIZ",
"IIIIIZIZIIIII",
"IIIZIIIIIZIII",
"IIIZIIIIIIIIZ",
"IIIZIIIZIIIII",
"IIIZIZIIIIIII",
"IZIIIIIIIZIII",
"IZIIIIIIIIIIZ",
"IZIIIIIZIIIII",
"IZIIIZIIIIIII",
"IZIZIIIIIIIII",
"IIIIIIIIIZIZI",
"IIIIIIIIIII... | [
0.1,
0.03333333333333333,
0.11666666666666667,
0.35,
0.23333333333333334,
0.16666666666666669,
0.15,
0.06666666666666667,
0.2833333333333333,
0.23333333333333334,
0.06666666666666667,
0.1,
0.08333333333333334,
0.3,
0.11666666666666667,
0.11666666666666667,
0.1,
0.03333333333333333,... | 0.976299 | [
-0.04725426774134176,
1.2832507091322247,
1.9156799285108506,
0.03440567356916022,
1.4771230307101837,
-0.02966152094240193,
1.8217178043553588,
-0.10512879280103248,
0.023056169471446016,
1.4078054188680198,
1.3309384362515204,
0.06771564454373408,
1.8178625345555421,
-0.06220473806744459... | {
"n_parameters": 56,
"n_qubits": 13,
"optimal_eigenvalue": -5.200000000000001,
"target_ratio": 0.97,
"target_value": -5.0440000000000005
} | 7 |
e4f5057259aaeddd1dd7f4f1ea49da8b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 3, "source": 1, ... | {"states": [0, 1], "expectation_value": -12.782237837651659, "params": [0.0028, 0.25930000000000003, 0.603, 0.10200000000000001, 0.0023, -0.5904, 0.0026000000000000003, 0.5769000000000001, 0.0068000000000000005, -0.0167, 0.0028, 0.6043000000000001, 0.0026000000000000003, 0.6019, 0.8078000000000001, 0.003900000000000000... | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(1) @ Z(6)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + 1.5 * Z(3) + -0.25 * Z(0) + -3.25 * Z(4) + -1.5 * Z(5) + -0.25... | 3 | 8 | 2 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["11111110", "10111110"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.022546435908237288) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(0.14518918596484848) q[4];
cx q[0], q[4];
h q[5];
cx q[0], q[5];
rz(0.022546435908237288) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(0.7517255380687702) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZIIIIZI",
"IIIIZZII",
"IIIZIZII",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII"
] | [
-1.25,
-1.5,
-1.25,
-0.25,
-0.5,
-1,
-0.75,
-1.5,
-1,
-0.75,
4.25,
1.5,
-0.25,
-3.25,
-1.5,
-0.25,
0.75,
-0.5,
3.5
] | 0.957735 | [
0.022546435908237288,
0.14518918596484848,
0.7517255380687702,
0.6453322187153919,
0.0005547510135491637,
0.01648942695497035,
-0.24567836598873122,
0.7103534844820352,
1.2276522599760762,
-0.7579580526703535,
-0.6595794244215516,
1.6514152238781217,
0.05475463053088248,
0.2385240506869008... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 500 |
9915ff93784d747e82bcd9a73a2399e5 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [13, 9], "expectation_value": -0.007363335345535911, "params": [[0.027800000000000002, -0.012700000000000001], [-0.027200000000000002, 0.0013000000000000002]], "bitstrings": ["10010", "10110"], "total_optimization_steps": 10, "probabilities": [0.03157189629781975, 0.03157377643849901], "optimization_time": 2... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + -0.125 * (Z(1) @ Z(4) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(2)) + 0.12... | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.625, "smallest_bitstrings": ["10110"], "largest_eigenvalue": 4.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"IZIZI",
"ZIIZI",
"IZZII",
"ZIZII",
"ZZIII",
"IZZZI",
"ZIZZI",
"ZZIZI",
"ZZZII",
"ZZZZI",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.5,
-0.125,
-0.625,
-0.625,
-0.125
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
b99d01e343a9618170192b83f850e849 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [45, 44], "expectation_value": -3.130374675927968, "params": [[[-0.0177, 0.31820000000000004], [0.0066, -0.28500000000000003], [0.5653, 0.0017000000000000001], [0.49860000000000004, -0.0639], [0.5294, -0.0368], [0.6092000000000001, 0.0018000000000000002], [-0.0183, 0.31020000000000003], [0.5192, -0.0374]], [... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + -0.5 * Z(2) + -1.5 * Z(0) + -1.0 * Z(4) + -1.5 * Z(6) + -1.0 * Z(7) + -1.0 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -3.5, "smallest_bitstrings": ["11100011", "11101001", "11101010", "01101011", "10011110", "10010111", "11010011", "11011010", "11011001"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.10102962975764386) q[0];
rz(0.28656417068928697) q[0];
rx(0.13986678498721436) q[1];
rz(0.2802212173457539) q[1];
rx(0.5620671485373332) q[2];
rz(0.6234050624416034) q[2];
rx(0.6176064149034918) q[3];
rz(0.3304744211141144) q[3];
rx(0.7346291000997419) 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": []} | [
"IIIIIZIZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IZIZIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZZIIIIII",
"IZIIIIZI",
"IIIIZZII",
"IIIIZIZI",
"IIZIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-1.5,
-1,
-1,
-0.5,
0
] | 0.97363 | [
-0.10102962975764385,
0.026419610170205415,
0.13986678498721433,
0.5707931976190376,
0.5620671485373332,
0.29972374293734594,
0.617606414903492,
0.4524517527921321,
0.7346291000997418,
-0.034813433592926414,
0.7253464624644654,
-0.27871852420943566,
-0.17894864313508466,
0.1481575597533142... | {
"n_parameters": 89,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 26 |
fcba12f78dbb04a944afdfe31d032329 | 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": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [1, 65], "expectation_value": -0.8820865327479095, "params": [[0.0721, 0.0713], [-0.0765, -0.0703]], "bitstrings": ["11111110", "10111110"], "total_optimization_steps": 10, "probabilities": [0.008105182320070774, 0.008598163563201058], "optimization_time": 3.7905852794647217} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10111110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4254799601393619) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.4254799601393619) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.0294819745702197) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0294819745702197) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IIIIZZII",
"IIIZIZII",
"IZIIIZII",
"ZIIIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"IIZIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIZI... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
1.75,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-1,
0,
-0.25,
-0.5,
0.25,
0.5,
1,
0,
-1
] | 0.965139 | [
0.4254799601393619,
0.0294819745702197,
-0.8480239773916536,
0.4187717515697565,
0.6696261157821541,
0.305487811964182,
0.5015073803258601,
-0.3150905293887279,
0.8566058060930665,
0.5723667175968977,
-0.1886534447062073,
-0.03350896778430279,
1.0910279095719788,
-0.16547738044583582,
-0... | {
"n_parameters": 37,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 500 |
bb51b85a8f0cca1e878093cb2d4e9f25 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [11, 7], "expectation_value": -3.9964640788483465, "params": null, "bitstrings": ["110100", "111000"], "total_optimization_steps": 21, "probabilities": [0.06634840540222475, 0.9303662461102485], "optimization_time": 16.03227686882019} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "110100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | null | 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",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIIZ",
"ZIIIZI",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-1,
0,
0
] | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
18152715fcfad636f12a77c42b8c9992 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 7}, {"source": ... | {"states": [0, 1023], "expectation_value": -29.63322609513021, "params": [[[0.0023, 1.6042], [0.0016, 0.0019], [0.0021000000000000003, 0.0021000000000000003], [0.0021000000000000003, 0.0018000000000000002], [-0.0033, 0.0024000000000000002], [0.0019, 0.0024000000000000002], [0.0023, 0.002], [0.003, 0.0024000000000000002... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(3) @ Z(6)) + -3.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(3)) + -3.5 * (Z(9) @ Z(6)) + -3.0 * (Z(9) @ Z(3)) + 1.0 * (Z(9) @ Z(7)) + -3.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 1.0 * (Z(4) @ Z(9)) + -3.5 * (Z(5) @ Z(6)) + 1.0... | 15 | 10 | 1 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.09652908464518788) q[0];
ry(-0.11313998481762279) q[1];
ry(0.002082085321397323) q[2];
ry(0.002082085321397323) q[3];
ry(0.002046320745041491) q[4];
ry(-0.07457764419783271) q[5];
ry(-0.09652908464518788) q[6];
ry(0.027783947880936494) q[7];
ry(0.0539506753119341... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIZIIZIII",
"IIZZIIIIII",
"IIZIIIZIII",
"ZIIZIIIIII",
"ZIIIIIZIII",
"ZIZIIIIIII",
"IIIZIZIIII",
"IIIIIZZIII",
"IIZIIZIIII",
"ZIIIIZIIII",
"IIIZZIIIII",
"IIIIZIZIII",
"IIZIZIIIII",
"ZIIIZIIIII",
"IIIIZZIIII",
"IZIZIIIIII",
"IZIIIIZIII"... | [
-2,
-2,
0.5,
-3.5,
-3.5,
-2,
-3.5,
-3,
1,
-3.5,
0.5,
0.5,
1,
-3.5,
1,
0.5,
-3,
-2,
-3.5,
1,
0.5,
-2.5,
0.5,
1,
-1.5,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970288 | [
-0.09652908464518788,
-0.11313998481762279,
0.002082085321397323,
0.002046320745041491,
-0.07457764419783271,
0.027783947880936494,
0.05395067531193412,
2.677841466455236,
0.1490211971320763,
-0.056950708030601746,
0.0007756074616965467,
0.22810925367610074,
0.028847441109073835
] | {
"n_parameters": 13,
"n_qubits": 10,
"optimal_eigenvalue": -33.5,
"target_ratio": 0.97,
"target_value": -32.495
} | 13 |
2be9598749a54d45ae6c968f3644c50e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "... | {"states": [3, 7], "expectation_value": -1.8517219179083846, "params": null, "bitstrings": ["1100", "1000"], "total_optimization_steps": 14, "probabilities": [0.4257862750449693, 0.4305607452087847], "optimization_time": 6.445129871368408} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + 0.25 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110", "1100", "1000"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4735206763607496) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.01182672083452973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.01182672083452973) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.4735206763607496) q[3];
cx q[1], q[3]... | null | {"source": 0, "sink": 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];\ncry(-1.5158) q[3], q[0];\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... | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.25,
0.5,
0.25
] | 0.731547 | [
0.4735206763607496,
-0.01182672083452973,
-0.00498214199769815,
-1.582999198203383,
-1.7345000367827936,
1.438980752288773
] | {
"n_parameters": 6,
"n_qubits": 4,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 193 |
4685308727068047540 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [3, 5], [2, 5], [5, 6], [0, 4], [3, 4], [0, 6], [0, 1], [1, 5]]} | {"states": [88, 57], "expectation_value": -3.1880863932072003, "params": null, "bitstrings": ["0100111", "1000110"], "total_optimization_steps": 50, "probabilities": [0.043112664288190994, 0.8181238792286244], "optimization_time": 57.5758581161499} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000110", "0111001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.6633631305241948) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.6633631305241948) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(-0.6633631305241948) q[0];
cx q[4], q[0];
rz(-5.742208042391894e-09) q[4];
rx(0.785398158832... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[3], 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... | [
"IIZIZII",
"IIZZIII",
"IZIIZII",
"IZIZIII",
"ZZIIIII",
"IIZIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIIIZZ",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI"
] | [
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
] | 0.527145 | [
-0.6633631305241948,
-5.742208219907405e-9,
0.7853981588325151
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 97 |
e9d9b91bfd2b1be4702d219d04bf78f1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [99, 127], "expectation_value": -13.36968527253166, "params": [0.0018000000000000002, 2.4948, 0.0041, 0.009600000000000001, 0.0029000000000000002, 2.4775, 0.0029000000000000002, 0.10060000000000001, 0.0031000000000000003, 2.4004000000000003, 0.0028, 0.0081, 0.202, 0.9323, 0.3286, -0.3619, 1.568, -0.002, 1.56... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + -1.5 * Z(1) + 1.5 * Z(0) + -1.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(9) + 0.5 * Z(8) | 8 | 10 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["1110000000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.001432448751101056) q[0];
cx q[1], q[0];
rz(-1.4019289543122877) q[0];
rx(1.5665953202805412) q[0];
rz(-1.4019289543122877) q[1];
rx(1.5665953202805412) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.11561943539346946) q[2];
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[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII"
] | [
-2,
-2,
-2,
-1,
-1.5,
-1.5,
0.5,
-1,
-1.5,
1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.791011 | [
0.001432448751101056,
-0.11561943539346946,
-1.4019289543122877,
0.0004461657443661185,
-0.00014970484478022035,
1.5707963122822266,
1.5665953202805412
] | {
"n_parameters": 7,
"n_qubits": 10,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 232 |
bf001351f2bf5e55c043b36bf1cfc0ff | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 18, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 2}, {... | {"states": [227, 115], "expectation_value": -46.27746843904176, "params": [[-0.028800000000000003, 0.0741, 0.0339], [0.17950000000000002, -0.22970000000000002, -0.22110000000000002]], "bitstrings": ["00011100", "10001100"], "total_optimization_steps": 30, "probabilities": [0.06713196860873932, 0.07377346120318079], "op... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10001100"], "largest_eigenvalue": 144.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.014501327735563205) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.014501327735563205) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.014501327735563205) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.014501327735563205) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
8.5,
21,
17.5,
-3.5,
7,
14.5,
10
] | 0.979318 | [
-0.014501327735563205,
1.0347150784178718,
-0.5692598202979595,
0.8538840510919471,
0.449639128842699,
-0.5166005433180799,
-0.5904170101921311,
0.7104836149796329,
1.0334025197694245,
-0.9166130684491123,
0.10267877018475241,
0.640899445953751,
-0.04544482157122929,
1.0068858003288548,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -64.5,
"target_ratio": 0.97,
"target_value": -62.565
} | 48 |
f619afa25c1921f996d128a1dfefef72 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [10, 8], "expectation_value": -2.2592893673608203, "params": [-0.0028, 0.654, 0.8550000000000001, 0.0033, 0.0023, 0.6726000000000001, 0.7243, -0.0379, 0.002, -0.0005, -0.0028, 0.0057, 0.8634000000000001, 0.0051, 0.0023, 0.0092, 0.7204, 0.0028, -0.0067, 0.008400000000000001, 0.0177, -0.6322, 0.004500000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 18 | 5 | 2 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["11101", "10111"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.4936559659629063) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.013500835409830762) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.013500835409830762) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.4936559659629063) q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"IIZZI",
"IIZZZ",
"IZIZI",
"ZZIII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-1
] | 0.974012 | [
1.4936559659629063,
0.013500835409830762,
-0.004945064526051042,
0.0475064589351132,
-0.0973573450378921,
-0.024370407967199997,
0.09398041354422079,
-0.7569490972859623
] | {
"n_parameters": 8,
"n_qubits": 12,
"optimal_eigenvalue": -1.52,
"target_ratio": 0.97,
"target_value": -1.4744
} | 27 |
b993a5a7e57c18bd4205eb03339dcbdb | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [355, 487], "expectation_value": -9.997698225338024, "params": null, "bitstrings": ["111010011100", "111000011000"], "total_optimization_steps": 100, "probabilities": [0.23962467434214155, 0.7582847298238203], "optimization_time": 298.80244541168213} | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 1 | 12 | 4 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"], "largest_eigenvalue": 29.666666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(-0.7539683417504123) q[0];
h q[1];
ry(-0.7849190935755255) q[1];
ry(-0.5117930615902674) q[2];
rz(-pi) q[2];
h q[3];
ry(0.8027330867228042) q[3];
h q[4];
h q[5];
ry(0.6610369723445622) q[5];
h q[6];
ry(1.6427196587087884) q[6];
cx q[6], q[3];
ry(-0.802733086... | null | {"source": 0, "sink": 5} | {"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(1.5708) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... | [
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIIIZZIII",
"IZZIIIIIIIII",
"IZIIIIIIZIII",
"IZIIIIIZIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIZIII",
"ZIIIIIIZIIII",
"ZZIIIIIIIIII",
"IIIIIIZII... | [
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5,
0.33333333333333337,
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,
2.5,
2.5,
-1.333333333333333,
-1.... | 0.994326 | [
1.6427196587087884,
-1.569838187151051,
1.428071510041552,
1.6054661734456084,
-1.5079366835008245,
-1.479467181204076,
1.0509882011382135,
1.3220739446891243,
-1.3407671105792736,
-0.8743627779952217,
-0.15137910993803103,
-0.36928097441881536,
-0.04643846630258572,
0.18962590822056274,
... | {
"n_parameters": 36,
"n_qubits": 12,
"optimal_eigenvalue": -9.999999999999998,
"target_ratio": 0.97,
"target_value": -9.699999999999998
} | 1 |
7611023331787475372 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 4], [0, 1], [2, 3], [2, 5]]} | {"states": [37, 42], "expectation_value": -0.01846428458041105, "params": [[0.0523], [-0.0444]], "bitstrings": ["011010", "010101"], "total_optimization_steps": 10, "probabilities": [0.016208028328380204, 0.016208028328380204], "optimization_time": 0.8192477226257324} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["101010", "010101", "100101", "011010"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.14124568309408322) q[0];
h q[1];
cx q[1], q[0];
ry(0.14124568309408322) q[0];
cx q[1], q[0];
ry(-1.2086880550516845) q[0];
ry(1.0808446510390195) q[1];
h q[2];
h q[3];
ry(-0.14124568309408322) q[3];
cx q[2], q[3];
ry(0.14124568309408322) q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[2], q[5];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IZZIII",
"IIIIZZ",
"IIZZII",
"ZIIZII",
"IZIIII",
"IIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.97019 | [
-0.28249136618816645,
1.2630083525796008,
-0.36862942060043297,
1.2309102551785311,
0.9859255848352174,
-0.7601378871633739,
0.19506674811078756,
-0.44916072473762747,
-1.1406720447721954,
0.1898381324076039,
-0.1360320205589783,
0.5697733398930666,
0.3377912736825445,
-0.8417683268680475,... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 22 |
6abfcea40fcfb2aee6e60541a981751a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 5}, {"capacity": 1, "source": 3, ... | {"states": [25, 91], "expectation_value": -2.1972088445682085, "params": null, "bitstrings": ["11100110", "10100100"], "total_optimization_steps": 42, "probabilities": [0.16011577782086361, 0.6996868065175307], "optimization_time": 44.09162712097168} | 0.25 * (Z(0) @ Z(7)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + 0.0 * Z(7) + -0.25 * Z(0) + -0.5 * Z(6) + 0.5 * Z(1) + 0.0 * Z(2) + -0.25 * Z(5) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 8 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5, "smallest_bitstrings": ["10000100", "10000000", "10100100"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(-1.0595857759622829) q[0];
cx q[7], q[0];
rz(0.6048134702058414) q[0];
rx(1.029216584893515) q[0];
cx q[7], q[6];
rz(0.6048134702058412) q[6];
cx q[7], q[6];
cx q[6], q[1];
rz(-0.097899551... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.4449) q[6], 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] = mea... | [
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIIZI",
"IZIIIZII",
"IIZIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
0,
-0.25,
-0.5,
0.5,
0,
-0.25,
0.25,
0.25
] | 0.577358 | [
-1.0595857759622829,
0.6048134702058412,
-0.09789955183094325,
-0.06106895996654886,
-1.6195074235481492,
1.0292165848935153
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 157 |
0df4df25c74ca38eb293288a64f6d090 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 2, "source": 2, "target": 3}, {"weight": 16, "source": 2, "target": 6}, {"... | {"states": [95, 93], "expectation_value": -29.474690967098205, "params": [[0.027100000000000003, 0.0061, -0.0054, -0.0103], [-0.0813, -0.08310000000000001, -0.0727, -0.0614]], "bitstrings": ["10100000", "10100010"], "total_optimization_steps": 10, "probabilities": [0.01668524560467026, 0.02170019484612866], "optimizati... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) + -3.0 * Z(0) + 9.0 * Z(2) + 16.0 * Z(3) + 1... | 1 | 8 | 4 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 127.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.13472719791426957) q[0];
rz(0.7621816108220933) q[0];
rx(0.9797023371778154) q[1];
rz(-0.03741898136041918) q[1];
rx(0.2553948032372724) q[2];
rz(0.2997483345010804) q[2];
rx(0.98149266171691) q[3];
rz(0.021241621987064273) q[3];
rx(0.98018860069722) q[4];
rz(-0.03... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10,
-3,
9,
16,
11,
17.5,
4.5,
14
] | 0.976159 | [
0.13472719791426957,
0.8849967245068193,
0.9797023371778154,
-0.03741898136041918,
0.2553948032372724,
0.2997483345010804,
0.98149266171691,
0.021241621987064273,
0.98018860069722,
-0.037920716797769566,
0.9975135743893738,
-0.1428992541318086,
0.34355392559505205,
0.18303063785957543,
1... | {
"n_parameters": 70,
"n_qubits": 8,
"optimal_eigenvalue": -66,
"target_ratio": 0.97,
"target_value": -64.02
} | 8 |
9915ff93784d747e82bcd9a73a2399e5 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}]} | {"states": [9, 3], "expectation_value": -7.275005931388309, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.12631059505875555, 0.6745310886168708], "optimization_time": 21.59326148033142} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (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)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 16 | 5 | 2 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | 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(-1.5709) 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,
2,
1.75,
2,
2,
1.75,
2,
2,
-2.5,
-3,
-2.5,
-2.25,
-2.25
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
6a1b5b157fa0265e3d4e76f33dc572f1 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [341, 345], "expectation_value": -74.49412848496415, "params": [1.5738, 1.5737, 0.1748, -0.1022, 1.6585, 1.4895, 0.111, -0.09230000000000001, 1.5994000000000002, 1.5463, 0.9042, 0.932, 2.0539, 1.1122, -0.0009000000000000001, 0.0018000000000000002, 1.5702, 1.5774000000000001, 1.4711, 0.0077, -0.0011, 0.7397, ... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(8)) + 8.0 * Z(0) + 2.0 * Z(1) + 22.5 * Z(2) + 15.5 * Z(4) + -3.5 * Z(3) + 11.5 * Z(6) + 2.5 * Z(5) + 1.0 * Z(8) + -6.0 * Z(7) | 14 | 9 | 1 | {"smallest_eigenvalues": [-80.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["010100110"], "largest_eigenvalue": 126.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.5697017805014188) q[0];
rz(pi/2) q[0];
ry(0.23287882381309027) q[1];
ry(1.8933083468351495) q[2];
ry(0.22040887757437638) q[3];
ry(1.6008035714318607) q[4];
ry(1.2630163355774544) q[5];
ry(2.2683728742313956) q[6];
ry(0.10690835361287843) q[7];
ry(1.618022642764589... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
8,
2,
22.5,
15.5,
-3.5,
11.5,
2.5,
1,
-6
] | 0.974721 | [
1.5697017805014188,
0.23287882381309027,
1.8933083468351495,
0.22040887757437638,
1.6008035714318607,
1.2630163355774544,
2.2683728742313956,
0.10690835361287843,
1.618022642764589,
1.5782887792402245,
-1.2428020030894824,
0.176601985422996,
0.8103048216785392,
-0.14057023809346567,
1.51... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -80.5,
"target_ratio": 0.97,
"target_value": -78.085
} | 11 |
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": 75.83495020866394} | 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 * ... | 13 | 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;
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 |
ff4d8612be902cee01cbb69055101657 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [44, 56], "expectation_value": -3.496304682848828, "params": null, "bitstrings": ["010011", "000111"], "total_optimization_steps": 22, "probabilities": [0.06706466845673519, 0.9295035070619324], "optimization_time": 16.54806423187256} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["010110", "000111", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.004484549636475071) q[0];
cx q[4], q[0];
rz(0.7328109886623113) q[0];
rx(-0.8007113399707768) q[0];
cx q[4], q[1];
rz(-0.004484549636475071) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(-0.004484549636475071) q[3];
... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IZIIIZ",
"IZIIZI",
"IIZIZI",
"ZZIIII",
"ZIIIZI",
"ZIZIII",
"IZIZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-1,
0
] | 0.988988 | [
-0.004484549636475071,
-1.0690450112060856,
0.7328109886623114,
-1.0758900725224467,
0.8535075540902197,
-0.8007113399707768,
0.07221895186456898,
-0.520197576338447,
-0.671789822082748,
0.6519376481542358,
-0.8638708047021346,
0.2718423097134407,
-0.8220673049085121,
-0.492579786025785,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 32 |
109dd65f843c7effe1b685156edca6d7 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "ta... | {"states": [131, 7], "expectation_value": -22.144854728520976, "params": null, "bitstrings": ["01111100", "11111000"], "total_optimization_steps": 91, "probabilities": [0.061083088251108565, 0.5844873633809463], "optimization_time": 213.39971947669983} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + ... | 10 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020614379663043705) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.020614379663043705) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020614379663043705) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020614379663043705) q[3];
cx q[1], ... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.197) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.5,
-7.25,
-7,
-7,
-6.5,
-6.5,
-6.25
] | 0.971073 | [
0.020614379663043705,
-0.06563921442885634,
-0.6869657315794282,
-1.4972446815351845,
-1.3570263320892326,
0.5300986815983618,
0.06960159444877413,
-0.23523052806335437,
-0.03648713290377981,
-0.028121845837364642,
-0.9009106158759526,
-0.10227264967403488,
-0.5108808338805213,
0.830325209... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 70 |
a296bf4a8467a546a89302f84310fa30 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 7}, {"weight": 4, "source": 2, "target": 3}, {"weight": 20, "source": 3, "targ... | {"states": [442, 186], "expectation_value": -14.25533490498436, "params": [[0.0188, -0.006500000000000001, -0.0424], [-0.031100000000000003, -0.011000000000000001, 0.053500000000000006]], "bitstrings": ["001000101", "101000101"], "total_optimization_steps": 10, "probabilities": [0.003814667793643936, 0.0045260105125130... | 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(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 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) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.5, "smallest_bitstrings": ["101000101"], "largest_eigenvalue": 169.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02079609897828741) q[0];
cx q[1], q[0];
rz(-1.5510359160524168) q[0];
rx(-1.049082062418527) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.02079609897828741) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.02079609897828741) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
8,
-2,
23.5,
6.5,
15,
20.5,
9,
16.5,
5
] | 0.970632 | [
-0.02079609897828741,
1.6027801748050579,
-1.5510359160524168,
1.7285300706425282,
-1.5617611290460678,
1.1224687269775335,
1.5717613714268266,
-1.3385969788638588,
1.6882683897198123,
-1.3454953644807968,
-1.0490820624185273,
0.19710993582515887,
0.150016056613286,
-0.2800053757395895,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 48 |
fc080107649a6d17dcb56ee14364c80b | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 3}, {"weight": 17, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target": 3}, {"weight": 4... | {"states": [119, 118], "expectation_value": -12.591948714203852, "params": [[-0.0392], [0.0792]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.0073469926648890805, 0.008307313089529532], "optimization_time": 2.146275281906128} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 152.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.03719020080834875) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.03719020080834875) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.03719020080834875) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.03719020080834875) q[3];
cx q[0], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
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,
3.5,
11.5,
7.5,
19,
14.5,
12.5,
13,
17,
4.5
] | 0.97288 | [
0.03719020080834875,
-1.8699221453934163,
1.5492561782986691,
-1.5931886264214523,
-1.6517452253590352,
1.8627470768994112,
-1.1395722413714153,
-1.5382517386917764,
1.6492088456784,
1.2904626098927485,
0.06032190008345585,
0.7509437090138501,
-1.2690087663305125,
-0.04464628747226069,
0... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 82 |
6697546239503012823 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [1, 2, 3, 4, 5, 6], [0, 2, 3, 5, 6, 7], [0, 1, 6]]} | {"states": [246, 244], "expectation_value": -0.8646549015503033, "params": [[[2.7949, 0.0047], [2.2089000000000003, 0.0018000000000000002], [2.793, 0.0074], [2.7947, 0.0063], [0.5887, 0.009600000000000001], [2.7861000000000002, 0.0061], [1.5527, 0.0054], [1.4192, 0.0063]]], "bitstrings": ["00001001", "00001011"], "tota... | 0.5 * (Z(0) @ Z(4)) + 0.03333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.03333333333333333 * (Z(2) @ Z(4)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(4)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.2333333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2000000000000002, "smallest_bitstrings": ["00001011"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(3.11046639074153) q[0];
rz(-0.9822919137470743) q[0];
rx(2.721729115985683) q[1];
rz(-0.6506263308039508) q[1];
rx(3.4837593580533546) q[2];
rz(0.1413289181522362) q[2];
rx(2.8479124296405187) q[3];
rz(0.47530069380782375) q[3];
rx(0.10287586877833825) q[4];
rz(0.443... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIZIIZI",
"IIIIIIZZ",
"IIIZIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIIZZIII",
"IIIIZIIZ",
"IIIIZIZI",
"IIIIZZII",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IZIZIIII",
"IZIIIIIZ",
"IZIIIIZI",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIIZI... | [
0.5,
0.03333333333333333,
0.16666666666666666,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.06666666... | 0.971456 | [
3.11046639074153,
-0.9822919137470743,
2.721729115985683,
-0.6506263308039508,
3.4837593580533546,
0.1413289181522362,
2.8479124296405187,
0.47530069380782375,
0.10287586877833825,
0.4433760132471837,
3.232059952972845,
0.8468623282590826,
-0.09906331326675527,
1.0364783614147381,
0.4772... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -1.2333333333333336,
"target_ratio": 0.97,
"target_value": -1.1963333333333335
} | 14 |
f6cdf6caae833c575489bb2b7a623058 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 4}, {"weight": 15, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 2}, {... | {"states": [122, 118], "expectation_value": -8.639989589750938, "params": [[-0.049], [0.0637]], "bitstrings": ["10000101", "10001001"], "total_optimization_steps": 10, "probabilities": [0.006858015108484852, 0.007507163623137218], "optimization_time": 1.8098878860473633} | 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(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 8.5 * Z(0) + 16.0 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 140.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.124759052725892) q[0];
rz(-pi) q[0];
ry(-3.0854626450991742) q[1];
rz(-pi) q[1];
ry(-0.03369902748015139) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4369841717910352) q[3];
ry(-0.03369902748015139) q[4];
rz(-pi) q[4];
h q[5];
ry(1.504625431852586) q[5];
cx q[5], q[0];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"ZIIIIZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
15.5,
8.5,
16,
13,
11.5,
6,
15.5,
2.5
] | 0.995276 | [
-1.5205674065543304,
-1.4762215588150907,
1.504625431852586,
1.4369841717910352,
-0.10005583704498788,
0.23395710827992075,
0.2788948906500424,
0.02008177290338363,
0.0009735704753418978,
-0.03305978552082959,
-0.11837486768070965
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
0e07c18cfcd6c70f78e81e85c4e65871 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.24308157785130294, "params": [[-0.2723], [0.2773]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 30, "probabilities": [3.856591227111031e-05, 3.856591227111031e-05], "optimization_time": 23.993890047073364} | 0.25 * (Z(0) @ Z(1)) + 0.000375 * (Z(2) @ Z(0)) + 0.000375 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.0006875000000000002 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.0006875000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008749999999999999 * (Z(6) @ ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0231249999999643], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0231249999999235, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0148749999999978} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(0.3333977512894373) q[0];
rz(-0.20287997953682674) q[0];
ry(-0.012046891448386004) q[1];
ry(0.36631981526226054) q[2];
ry(0.08653986353661852) q[3];
ry(-0.9245865733777989) q[4];
ry(0.49402419930250463) q[5];
ry(1.0693059495624317) q[6];
ry(0.567976175927438) q[7];
... | 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[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"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,
0.000375,
0.000375,
0.25,
-0.0008749999999999999,
-0.0006875000000000002,
-0.0008749999999999999,
-0.0006875000000000002,
0.25,
-0.0008749999999999999,
-0.0006875000000000002,
-0.0006875000000000002,
-0.0008749999999999999,
-0.0006875000000000002,
-0.0006875000000000002,
0.25,
... | 0.971721 | [
0.3333977512894373,
-0.012046891448386004,
0.36631981526226054,
0.08653986353661852,
-0.9245865733777989,
0.49402419930250463,
1.0693059495624317,
0.567976175927438,
0.016190483336059408,
0.5350621404091239,
0.07368527201857436,
0.4798445075103098,
0.2681317290018621,
0.6069730084642713,
... | {
"n_parameters": 184,
"n_qubits": 16,
"optimal_eigenvalue": -2.0231249999999603,
"target_ratio": 0.97,
"target_value": -1.9624312499999614
} | 11 |
b305367bc2e2ddaa066fe8b84210618a | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 0, "target": 2}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [126, 110], "expectation_value": -30.982905105935554, "params": null, "bitstrings": ["10000001", "10010001"], "total_optimization_steps": 100, "probabilities": [0.10121528844246899, 0.1241208627827555], "optimization_time": 190.25336527824402} | 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(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(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 19.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 150.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.2364115448940784e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.2364115448940784e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.2364115448940784e-08) q[2];
cx q[0], q[2];
rz(1.5707962546560008) q[0];
rx(1.5707963244966565) q[... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(9.9081) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
19.5,
1.5,
15.5,
13,
15,
13,
10,
6.5
] | 0.915441 | [
-1.2364115448940784e-8,
-1.570796288521854,
1.570796254656001,
-1.5707962902301755,
-2.293530648554822,
-1.5707963341692412,
-1.570796326359869,
1.570796377596495,
1.5707963244966565
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 231 |
eef64d2a5dbf018785bb2eafc31c3245 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 3, ... | {"states": [142, 15], "expectation_value": -12.540726501436982, "params": null, "bitstrings": ["01110001", "11110000"], "total_optimization_steps": 59, "probabilities": [0.15680630545508087, 0.7790726482613731], "optimization_time": 54.16449975967407} | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + 2.5 * (Z(7) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 1.0 * Z(7) + -2.25 * Z(2) + -0.5 * Z(4) + 2.0 * Z(5) + 0.75 * Z(6) | 1 | 8 | 3 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["11110000"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.10702764500306078) q[0];
rz(1.8460079357091796) q[0];
rx(-0.09900207468748345) q[1];
rz(1.810072638291011) q[1];
rx(-0.10295100411381941) q[2];
rz(1.8216471371099985) q[2];
rx(-0.08088515754317219) q[3];
rz(1.6163125792682465) q[3];
rx(0.3932787664762013) q[4];
rz... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIZZII",
"ZIIZIIII",
"IIZIIZII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1.25,
-1,
2.5,
-1.5,
-0.75,
-0.75,
-1.25,
-0.75,
-1.25,
-0.25,
0.5,
1,
-2.25,
-0.5,
2,
0.75
] | 0.980626 | [
-0.10702764500306078,
0.27521160891428315,
-0.09900207468748345,
0.2392763114961134,
-0.10295100411381941,
0.2508508103151006,
-0.08088515754317219,
0.04551625247334859,
0.39327876647620125,
0.06958748977032685,
0.7492571955383739,
-0.2769461864098085,
0.47868772864866804,
-0.1464960204355... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -14.75,
"target_ratio": 0.97,
"target_value": -14.3075
} | 16 |
0609beb0244f504071355435b704f83a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 2, "source": 2, "target": 3}, {"weight": 14, "source": 2, "targ... | {"states": [187, 182], "expectation_value": -18.56832293401186, "params": [[0.025400000000000002], [-0.07390000000000001]], "bitstrings": ["101000100", "101001001"], "total_optimization_steps": 10, "probabilities": [0.003462850924333095, 0.003939379363402114], "optimization_time": 4.399767875671387} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ 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(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -101.0, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 239.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.05720166376948084) q[0];
cx q[1], q[0];
rz(0.384465093829772) q[0];
rx(0.5257962609517454) q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.05720166376948084) q[3];
cx q[1], q[3];
cx q[3], q[2];
rz(0.05720166376948084) q[2];
cx q[3], q[2];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIZII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"... | [
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,
4.5,
4.5,
4.5,
27,
-2.5,
25,
1,
24,
25.5,
5,
27.5,
16.5
] | 0.971929 | [
0.05720166376948084,
-1.9208781452886627,
0.3844650938297717,
-1.5190760479115246,
0.8209157825718216,
-1.7818713127497543,
-1.4122972990232305,
0.9561315396792637,
-1.4130348703589817,
-0.5499250001873687,
0.5257962609517453,
-0.09871875069884134,
0.16770288276034062,
1.0067294391173507,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -109,
"target_ratio": 0.97,
"target_value": -105.73
} | 77 |
1a9ed9a666e19120fea8169482f67ae7 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.026400945763348657, "params": [[0.0794], [-0.0847]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.696577463790151e-05, 1.6965774637901527e-05], "optimization_time": 13.678925275802612} | 0.25 * (Z(0) @ Z(1)) + -0.0009259259259259261 * (Z(2) @ Z(0)) + -0.0009259259259259261 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.00046296296296296303 * (Z(4) @ Z(0)) + -0.0007716049382716049 * (Z(4) @ Z(2)) + -0.00046296296296296303 * (Z(5) @ Z(1)) + -0.0007716049382716049 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.021913580246886], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0219135802468418, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0179012345678733} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.033035796970138795) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.033035796970138795) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.033035796970138795) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.033035796970138795) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"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,
-0.0009259259259259261,
-0.0009259259259259261,
0.25,
-0.00046296296296296303,
-0.0007716049382716049,
-0.00046296296296296303,
-0.0007716049382716049,
0.25,
-0.0009259259259259261,
0.00030864197530864197,
-0.0007716049382716049,
-0.0009259259259259261,
0.00030864197530864197,
-0.0... | 0.970316 | [
0.033035796970138795,
1.1743107495162832,
-0.1865339965274806,
1.266112264251784,
1.5779903775454862,
1.4155310904505956,
-0.6418863950380682,
2.0839555776890832,
-1.4659964772380958,
-0.6930579571127811,
-0.7424560734937793,
0.02330903431462893,
0.16407577822374453,
-0.13813935710762676,
... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -88,
"target_ratio": 0.97,
"target_value": -85.36
} | 67 |
d570f88b03391174f5c4fdc37798fafa | 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": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [1495, 1367], "expectation_value": -1.0398121767706288, "params": [[[1.7913000000000001, 0.005200000000000001], [0.762, 0.0016], [1.8936000000000002, 0.0032], [1.5014, 0.0049], [1.905, 0.0082], [0.7312000000000001, 0.0013000000000000002], [1.8182, 0.0057], [0.6947, 0.007], [1.9106, 0.003], [1.907800000000000... | 0.5 * (Z(1) @ Z(0)) + 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)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(9) @ Z(2)) + 0.25 * (Z(9) @ Z(7)) + -0.25 * (Z(9) @ Z(7) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(10) @ Z(0)) + 0.25 * ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-4.125, -4.125, -4.125, -4.125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.125, "smallest_bitstrings": ["10100010100", "10010011000", "01010101000", "01100100100"], "largest_eigenvalue": 7.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.6175144414593497) q[0];
rz(-0.22232900427623736) q[0];
rx(0.5183667130636511) q[1];
rz(0.016926362240339263) q[1];
cx q[1], q[0];
rz(0.0014986246313128393) q[0];
cx q[1], q[0];
rz(1.7254754685593765) q[0];
ry(1.6584657436649062) q[0];
rz(-1.4087148483683158) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIZZZII",
"IIIIZZIIIII",
"IIZZIIIIIII",
"IIIZIIIIZII",
"IZIIIIIIZII",
"IZIZIIIIIII",
"IZIZIIIIZII",
"IIIIIZIIIIZ",
"ZIIIIIIIIIZ",
"ZIIIIZIIIII",
"ZIIIIZIIIIZ",
"IIZIIIIZIII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IZZIIIIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
0,
0.125,
0,
-0.25,
-0.25,
-0.25... | 0.975672 | [
0.6175144414593497,
-0.22083037964492458,
0.5183667130636511,
0.016926362240339263,
0.9297837846283916,
0.2697403432603015,
0.7475635848314435,
0.2750676878012669,
0.1077961393889561,
0.05319325525718893,
-0.2064230392215719,
0.4454149303901243,
-0.14722154626999356,
0.20234078815004414,
... | {
"n_parameters": 74,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 14 |
0567194fff7fc326e4c852c46d67da63 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [488, 233], "expectation_value": -66.0001225428549, "params": [[[0.0514, 0.7659], [1.4004, 0.381], [1.2687000000000002, 0.1938], [1.3945, 0.2587], [-0.3473, 0.1379], [1.1086, 0.4499], [-0.0031000000000000003, 1.0863], [0.1736, 1.3964], [0.2978, 0.056400000000000006]], [[1.1489, -0.0066], [1.3993, 0.001], [1.... | 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(0) @ Z(3)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(7) @ Z(8)) + 23.0 * Z(2) + 22.5 * Z(3) + 11.5 * Z(0) + 23.5 * Z(1) + 8.5 * Z(5) + -5.0 * Z(... | 15 | 9 | 2 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.5, "smallest_bitstrings": ["100010110"], "largest_eigenvalue": 161.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.5994020271127671) q[0];
ry(1.452621513012052) q[1];
ry(1.3221637279670042) q[2];
ry(1.2175877794546304) q[3];
ry(0.11327250353207731) q[4];
ry(1.1952764900946318) q[5];
ry(0.22131496948221138) q[6];
ry(0.10651577371046222) q[7];
ry(0.04775198402442763) q[8];
cx 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], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"ZIIIIIZII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
23,
22.5,
11.5,
23.5,
8.5,
-5,
-2.5,
7,
-4
] | 0.970946 | [
1.5994020271127671,
1.452621513012052,
1.3221637279670042,
1.2175877794546304,
0.11327250353207731,
1.1952764900946318,
0.22131496948221138,
0.10651577371046222,
0.04775198402442763,
-0.001325698465070968,
-0.021521769281241186,
0.015376834500609851,
-0.0005814134948051858,
-0.097302075732... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -91.5,
"target_ratio": 0.97,
"target_value": -88.755
} | 30 |
5f0d472ec5410cdf4159a3a34819a3f9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 6}, {"capac... | {"states": [511, 383], "expectation_value": -19.06479095074889, "params": [[[-0.018500000000000003, -0.0024000000000000002], [0.0078000000000000005, -0.0027], [-0.5567, -0.003], [-0.1375, 0.0033], [-0.0004, -0.0019], [-0.0194, -0.002], [-0.0051, 0.002], [0.0033, -0.002], [1.5893000000000002, -0.022000000000000002], [-0... | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(4)) + -1.5 * (Z(1) @ Z(6)) + -1.5 * (Z(8) @ Z(4)) + -1.75 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + 2.0 * (Z(9) @ Z(0)) + -1.5 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(6)) + -1.75 * (Z(9) @ Z(8)) + -1.25 * (Z(5) @ Z... | 15 | 10 | 3 | {"smallest_eigenvalues": [-20.25, -20.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.25, "smallest_bitstrings": ["1011000000", "1010000000"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.003300291403969008) q[0];
ry(0.2045516330731137) q[1];
ry(-1.0411089308953727) q[2];
ry(-0.004201418092379321) q[3];
ry(0.08032966380585851) q[4];
ry(0.1067266879423637) q[5];
ry(-0.13943884422598626) q[6];
ry(-0.13887098310209217) q[7];
ry(1.6817211764008098) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZIIIIZI",
"IZIIIZIIII",
"IZIZIIIIII",
"IZIIIIIIZI",
"IIIIIZZIII",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIZZIIII",
"IIIIZIIIZI",
"IZIIZIIIII",
"IIZIIIIZII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IIZIZIIIII"... | [
-0.5,
-1.25,
-1,
-1,
-1.5,
-1.5,
-1.75,
-0.5,
-0.25,
2,
-1.5,
-0.25,
-1.75,
-1.25,
-0.25,
-0.25,
-1,
-1.5,
-1.25,
-1,
-2.5,
-0.25,
1.75,
1,
-0.75,
1.25,
-0.25,
-2.75,
2.75,
-0.25
] | 0.972725 | [
0.003300291403969008,
0.2045516330731137,
-1.0411089308953727,
-0.004201418092379321,
0.08032966380585851,
0.1067266879423637,
-0.13943884422598626,
-0.13887098310209217,
1.6817211764008098,
0.20190479459099459,
0.15924826385340177,
-0.03165983045157577,
0.1270727647979037,
0.0209932499804... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -20.25,
"target_ratio": 0.97,
"target_value": -19.6425
} | 28 |
bb51b85a8f0cca1e878093cb2d4e9f25 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [11, 7], "expectation_value": -0.48826675925627344, "params": [[-0.034800000000000005, -0.039, -0.0704], [0.0375, 0.033600000000000005, 0.0635]], "bitstrings": ["110100", "111000"], "total_optimization_steps": 10, "probabilities": [0.019956917114317105, 0.019956917114317123], "optimization_time": 3.365660905... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "110100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIIZ",
"ZIIIZI",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-1,
0,
0
] | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
8c44c442a25e00dfae4e1647b2faf79f | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [19, 3], "expectation_value": -3.0290507243943345, "params": [[[0.7794000000000001, -0.0033], [0.38930000000000003, -0.1963], [0.3936, -0.196], [0.7886000000000001, 0.0037], [0.795, -0.0037]], [[0.7836000000000001, 0.0068000000000000005], [0.3902, 0.0044], [0.3961, 0.0006000000000000001], [0.7951, 0.0067], [... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
1.75,
2,
2,
1.75,
-2.75,
-2.5,
-2.75,
-2.5,
-2.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
24ad81747c6bd1903cd58d045c41656e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 7}, {"weight": 15, "source": 0, "target": 6}, {"weight": 4, "source": 2, "tar... | {"states": [411, 218], "expectation_value": -12.799579956959565, "params": [[0.0441, 0.016800000000000002], [-0.0629, -0.040400000000000005]], "bitstrings": ["001100100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.005782698274115903, 0.006118138148161327], "optimization_time": 3.3229289054870605} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) + 5.0 * Z(0) + 16.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.18987318583714946) q[0];
rz(0.08611570117784861) q[0];
rx(3.008708522618427) q[1];
rz(0.37688852047103694) q[1];
rx(3.172182647066266) q[2];
rz(0.05701815205645913) q[2];
rx(-0.05299085269519477) q[3];
rz(0.0924171370297011) q[3];
rx(2.8889981301055943) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16.5,
5,
16.5,
10,
2,
6.5,
2,
14.5,
14
] | 0.974941 | [
0.1898731858371494,
0.09588051186810906,
3.008708522618427,
0.37688852047103694,
3.172182647066266,
0.05701815205645913,
-0.05299085269519477,
0.0924171370297011,
2.8889981301055943,
-0.24767705590774858,
3.2637002917143807,
0.06598201778939591,
0.0961968789558263,
-0.15922885735698689,
... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -72.5,
"target_ratio": 0.97,
"target_value": -70.325
} | 8 |
4b84faaad3bf7a7580aeb2d06aa05d30 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 3}, {"weight": 18, "source": 0, "target": 6}, {"weight": 15, "source": 0, "tar... | {"states": [245, 242], "expectation_value": -13.04505281153735, "params": [[-0.0284], [0.0634]], "bitstrings": ["100001010", "100001101"], "total_optimization_steps": 10, "probabilities": [0.0033482661136969185, 0.0036391961689614294], "optimization_time": 2.419266939163208} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["100001101"], "largest_eigenvalue": 201.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.6443048231322337) q[0];
rz(0.006560768441313605) q[0];
ry(-0.027382260011189343) q[1];
rz(-0.7560049664427597) q[1];
cz q[1], q[0];
ry(0.9810391421707605) q[0];
rz(0.06776315940811514) q[0];
ry(-0.027308400411524384) q[1];
ry(0.0265417769160132) q[2];
rz(-0.1634300... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
18.5,
12.5,
25.5,
22.5,
16,
-0.5,
8.5,
19,
3
] | 0.97263 | [
0.6443048231322337,
0.006560768441313605,
-0.027382260011189343,
-0.7560049664427597,
0.0265417769160132,
-0.16343002633692252,
0.7535600767425178,
-0.009680950261477334,
-0.5862013133244105,
0.334164896560638,
0.40367329899142573,
-0.20895155023113984,
-0.11005399046168386,
-0.29806456352... | {
"n_parameters": 81,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 12 |
-6486720588982531779 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [0, 7], [1, 3], [2, 4], [2, 5], [2, 6]]} | {"states": [0, 176], "expectation_value": -0.03083631051388764, "params": [0.6024, -0.0022, 0.6002000000000001, 0.0095, 0.6026, 0.0118, 0.5948, 0.0023, 0.6061000000000001, 0.0012000000000000001, 0.6065, 0.0047, 0.6003000000000001, 0.0011, 0.6011000000000001, 0.0039000000000000003, 0.6013000000000001, -0.006200000000000... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(6) | 6 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["10110000", "11001110", "01001111", "00110001"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.11882291002581881) q[0];
h q[1];
h q[2];
ry(-0.11882291002581881) q[2];
h q[3];
ry(-0.11882291002581881) q[3];
h q[4];
cx q[4], q[3];
ry(0.11882291002581881) q[3];
cx q[4], q[3];
ry(-0.2636411683726303) q[3];
cx q[1], q[3];
ry(0.2636411683726303) q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIZIZII",
"IIZIIZII",
"IZIIIZII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973801 | [
-0.23764582005163762,
1.5795178031601023,
-0.5272823367452606,
1.1843397681518129,
-0.17514126629719784,
-0.3530493025908509,
1.5997633411008816,
1.1595546287062992,
-0.6357335143774046,
0.21338636242958547,
0.8862213149134115,
-0.6816057680165,
0.09226127198270678,
0.10879156050791877,
... | {
"n_parameters": 43,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 31 |
6206337d7d1967e1d98c4b708b2f9aeb | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [41, 44], "expectation_value": -5.499937482943579, "params": null, "bitstrings": ["010110", "010011"], "total_optimization_steps": 28, "probabilities": [1.6356545604728183e-05, 0.9999687420766158], "optimization_time": 29.834757328033447} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["010011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-3.104597454054124) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.53500557433382) q[1];
h q[2];
ry(1.4439796999895051) q[2];
cx q[2], q[0];
ry(-0.09228340053169692) q[0];
cx q[2], q[0];
ry(0.12874566237956261) q[2];
h q[3];
ry(1.4415177267275305) q[3];
h q[4];
ry(-1.535005574333... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZZIIII",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-2,
-1.5,
-0.5,
-1
] | 0.993942 | [
-1.53500557433382,
-1.4376074027751256,
1.4439796999895051,
1.4415177267275305,
0.0014514087102965867,
0.18456680106339385,
0.15085650241299106,
0.25749132475912523,
-0.0014710015415432699,
-0.07056259980137612,
0.21107059744399434,
-0.014355156257897916
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
b053b64e8805e88821b68a2e72ca44e5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [1192, 1193], "expectation_value": -90.91598714913601, "params": [1.4056, 0.022500000000000003, 0.6703, 0.5873, 0.3053, 0.8011, 1.4073, 0.4575, 0.3201, 0.8648, 1.4071, 0.4455, 0.45330000000000004, 0.8178000000000001, 1.3979000000000001, 0.37020000000000003, 0.0024000000000000002, 1.0073, 0.0027, -0.9876, 0.8... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(7) @ Z(1)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(10) @ Z(7)) + 6.0 * Z(0) + 10.5 * Z(1) + 1.0 * Z(2) + 5.5 * Z(3) + 1.0 * Z(4) + 7.0 * Z(5) + 3.5 * Z(6) + 14.5 *... | 16 | 11 | 2 | {"smallest_eigenvalues": [-112.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.0, "smallest_bitstrings": ["01101010110"], "largest_eigenvalue": 160.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.6674193709720335) q[0];
rz(0.13004371696925343) q[0];
rx(0.07854224192770293) q[1];
rz(1.0062437785225307) q[1];
cx q[1], q[0];
rz(-0.22015344329720807) q[0];
cx q[1], q[0];
rx(1.5892256874017119) q[0];
rz(-0.16537108313798887) q[0];
rz(-0.5246981559349314) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIZIIIIIZI",
"IIIZZIIIIII",
"ZIIIIIIIIZI",
"ZIIZIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"ZIIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
6,
10.5,
1,
5.5,
1,
7,
3.5,
14.5,
6.5,
-12.5,
-12
] | 0.970653 | [
1.6674193709720333,
-0.09010972632795475,
0.07854224192770293,
1.0062437785225307,
0.10209082236463046,
1.0532645890810557,
1.6041316761707167,
0.7147947441991305,
0.08951761476206627,
0.7772534063703654,
1.4701985648150522,
0.45252111327271505,
0.10949573248238183,
0.9478518406495057,
1... | {
"n_parameters": 58,
"n_qubits": 11,
"optimal_eigenvalue": -112,
"target_ratio": 0.97,
"target_value": -108.64
} | 12 |
191f1083ef0517287337898d8066b77b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -20.386390887404904, "params": [-0.7168, -0.0027, 0.7216, 0.006500000000000001, -0.021, -0.005, 0.0155, 0.0063, -0.13920000000000002, 0.1993, 0.117, 0.0034000000000000002, 0.8057000000000001, 0.0043, 0.8112, 0.0097, -0.0102, 0.09380000000000001, 0.0112, 0.0082, 0.0443, 0.1395, ... | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.5 * (Z(10) @ Z(0)) + -0.75 * (Z(10) @ Z(7)) + -0.75 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(1) @ Z(10)) + -0.25 * (Z(4) @ Z(6)) + -1.25 * ... | 6 | 12 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.6993447198429451) q[0];
rz(1.5462262442357684) q[0];
rx(-0.028069621177406277) q[1];
rz(1.518569546617302) q[1];
rx(-0.3760985666129109) q[2];
rz(1.615923563321088) q[2];
rx(1.3929679035420268) q[3];
rz(1.6475445400159856) q[3];
rx(0.08076953387331237) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIIIIZZIIIII",
"IIIIIZIIIIIZ",
"IIIIZIZIIIII",
"IIIIZIIIIIIZ",
"IIIIZZIIIIII",
"IZIIIIIIIIIZ",
"IZIIZIIIIIII",
"IIIIIIZIIIZI",
"IIIIIZIIIIZI",
"IIIIZIIIIIZI",
"IZIIIIIIIIZI",
"IIIIIZIZIIII",
"IIIIZIIZIIII",
"IZIIIIIZIIII",
"IIIIIIIZIIZI",
"IIZIIIZIIIII",
"IIZIZIIII... | [
-0.25,
-0.75,
-0.75,
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-1.25,
-1,
-0.5,
-0.25,
-0.75,
-1.5,
-0.5,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
2,
-0.5,
-0.75,
-0.5,
-0.75,
-0.5,
1,
-0.25,
-2.25,
1.5,
... | 0.973304 | [
-0.6993447198429452,
-0.024570082559128667,
-0.028069621177406277,
-0.05222678017759505,
-0.3760985666129108,
0.045127236526191314,
1.3929679035420268,
0.07674821322108963,
0.08076953387331237,
-0.04927503615518953,
0.0636873233275134,
0.3113016495043947,
-0.04532335708088863,
0.5734635440... | {
"n_parameters": 52,
"n_qubits": 12,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 7 |
4152612544181855150 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8], [0, 3], [1, 7], [8, 2], [4, 5], [1, 6]]} | {"states": [0, 55], "expectation_value": 0.09853824266488154, "params": [0.5971000000000001, -0.0032, 0.5998, 0.0032, 0.5941000000000001, 0.0035, 0.5901000000000001, 0.0026000000000000003, 0.6049, -0.0103, 0.6002000000000001, 0.0077, 0.6106, 0.0029000000000000002, 0.6096, 0.009000000000000001, 0.6054, 0.0033, 0.5977, 0... | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(6) | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["111001000", "010101001", "101001110", "000101111", "010110001", "000110111", "111010000", "101010110"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.24864077211091254) q[0];
rz(1.2892506106175876) q[0];
rx(-0.0700079780724001) q[1];
rz(2.0890424515021877) q[1];
rx(0.2633328002676042) q[2];
rz(1.7836576575893819) q[2];
rx(1.6057098378562422) q[3];
rz(1.5604660231366) q[3];
rx(1.493677091486175) q[4];
rz(1.58330... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIZ",
"IIIIIZIIZ",
"IZIIIIIZI",
"ZIIIIIZII",
"IIIZZIIII",
"IIZIIIIZI",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.97012 | [
-0.24864077211091257,
-0.2815457161773087,
-0.0700079780724001,
0.518246124707291,
0.2633328002676042,
0.21286133079448505,
1.6057098378562422,
-0.010330303658296958,
1.493677091486175,
0.012510265518413471,
0.23203675187683565,
-0.22099365821064743,
0.9001902096147599,
0.28568480195292645... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 118 |
09f6e2bd7b534b363bffb5f935faaf38 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [441, 505], "expectation_value": -3.1218093954411184, "params": [[[0.003, 1.0306], [0.3869, -0.502], [1.4006, 0.0033], [0.7996000000000001, 0.09050000000000001], [0.7952, 0.0954], [1.4056, 0.0016], [1.3987, -0.0026000000000000003], [1.3983, -0.0016], [0.3891, -0.4999], [-0.0181, -0.6980000000000001], [1.4043... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(1) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(6)) + -0.125 * (Z(... | 1 | 11 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["10101000001", "11000000110", "10011000010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(1.73654203512136) q[0];
ry(0.09560257450616373) q[0];
rz(-1.0557159673344705) q[0];
rz(1.3669851322351985) q[1];
ry(2.8805057605780076) q[1];
rz(-1.8968178330504413) q[1];
rz(3.0152149015050185) q[2];
ry(2.928955291135759) q[2];
rz(-0.09927194859036881) 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": []} | [
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIZZZI",
"IIIIIIZIIZI",
"IIIIIZIIIZI",
"IIIIZIIIIZI",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIZI",
"IIIIZIZIIZI",
"IIIIZZIIIZI",
"IIIIZZZIIII",
"IIIIZZZIIZI",
"IIIZIIZIIII",
"IIZIIIZIIII",
"IIZZIIIIIII",
"IIZZIIZII... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
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,... | 0.971271 | [
0.19627717757766205,
0.009010318802533696,
0.9587874179317718,
-0.028540415347301812,
1.15423585204512,
0.1270112015739363,
0.13787963572413336,
-0.6394382256037663,
0.0019323232210286603,
-0.37277980600276384,
1.0824821208522852,
0.07073925541866083,
1.020792283100007,
0.11216796311505153... | {
"n_parameters": 51,
"n_qubits": 11,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 11 |
3761320352817550044 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 4], [1, 4], [2, 4], [2, 3], [4, 5], [1, 6]]} | {"states": [106, 114], "expectation_value": -2.627267259627627, "params": null, "bitstrings": ["0010101", "0001101"], "total_optimization_steps": 47, "probabilities": [0.05668396857152513, 0.8064210251220347], "optimization_time": 44.868468284606934} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110010", "0001101"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(0.830012887626061) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.16311173409802027) q[3];
cx q[2], q[3];
ry(0.16311173409802027) q[3];
cx q[2], q[3];
ry(1.4195551021461372) q[2];
ry(-0.8803775082468229) q[3];
h q[4];
ry(-0.16311173409802027) q[4];
h q[5];
cx q[5], 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];\ncry(-1.0342) q[5], 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... | [
"IIZIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIZZII",
"IZZIIII",
"ZIIIIZI",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.982743 | [
-0.32622346819604053,
1.0567451796675202,
-0.7964369145731636,
-0.006939020965609118,
1.5370532717793708,
1.4487883147987952,
-0.793684455464745,
-1.0933009540109047,
1.660025775252122,
0.7256198449572344,
-0.017334400727313987,
0.21067414566191794,
-0.7072041438576069,
-0.1678811873473187... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 17 |
8cf72b25e2d0af3364d579ef12541af8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target":... | {"states": [2047, 1023], "expectation_value": -23.80910269794069, "params": [[[-0.0021000000000000003, -0.09140000000000001], [-0.0035, 0.0022], [-0.0041, 0.0023], [-0.0058000000000000005, -0.0021000000000000003], [-0.0076, 0.002], [-0.0006000000000000001, -0.0023], [0.0004, -0.0026000000000000003], [0.0035, -0.0029000... | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(10) @ Z(5)) + -0.25 * (Z(10) @ Z(6)) + -0.25 * (Z(10) @ Z(1)) + -1.0 * (Z(10) @ Z(8)) + -1.0 * (Z(2) @ Z(5)) + 1.25 * ... | 15 | 11 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.5, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.012353678121792411) q[0];
ry(0.007738423647993091) q[1];
ry(0.1670515180460214) q[2];
ry(0.10339142994227585) q[3];
ry(0.038742201210300024) q[4];
ry(0.02146452244227013) q[5];
ry(0.00042622256231369807) q[6];
ry(-0.03201964246643299) q[7];
ry(0.17229409135714036... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIZ",
"IIIIZZIIIII",
"IIIIZIIIIIZ",
"IIIIZIIIIZI",
"IIIIIIIZIZI",
"IIZIIZIIIII",
"IIZIIIIIIZI",
"IIZIIIIZIII",
"ZIIIIZIIIII",
"ZIIIZIIIIII",
"ZIIIIIIIIZI",
"ZIZIIIIIIII",
"IIIIIZIIZII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIZIIIIIZII",
"ZIIIIIIIZII",
"IIIIIZZIIII",
"IIIIZIZII... | [
-0.25,
-1.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-1,
-1,
1.25,
-1,
-1,
-0.75,
-0.5,
-0.25,
-0.25,
-1.25,
-0.5,
-0.75,
-1,
-0.5,
-0.75,
-1.75,
-0.75,
-0.5,
-0.75,
-1.25,
-0.5,
-1,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
0,
... | 0.970244 | [
-0.012353678121792411,
0.007738423647993091,
0.1670515180460214,
0.10339142994227585,
0.038742201210300024,
0.02146452244227013,
0.00042622256231369807,
-0.03201964246643299,
0.17229409135714036,
0.2162391699458168,
1.9272631972313257,
-0.10756807352584535,
0.015355947802875712,
0.03444511... | {
"n_parameters": 39,
"n_qubits": 11,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 43 |
6f6ae479a3b979411e67a85b217a71e5 | matching | 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}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 20, "source": 0, "target": 7}, {"weight": 4, "source... | {"states": [218, 217], "expectation_value": -15.982982982975289, "params": [[-0.0324, -0.0137, 0.0718], [0.0531, 0.052000000000000005, -0.039900000000000005]], "bitstrings": ["100100101", "100100110"], "total_optimization_steps": 10, "probabilities": [0.007230397461892678, 0.007597337240640607], "optimization_time": 5.... | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 15.0 * Z(2) + 3.5 * Z(0) + 17.0 * Z(1) + 13.5 * Z(4) + 2.0 * Z(3) + 6.0 * Z(5)... | 1 | 9 | 3 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100100110"], "largest_eigenvalue": 122.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08556136745463405) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.08556136745463405) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.08556136745463405) q[1];
cx q[0], q[1];
rz(1.265695676754139) q[0];
rx(1.443100096692555) q[0];
h q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
15,
3.5,
17,
13.5,
2,
6,
1.5,
3,
6
] | 0.973826 | [
0.08556136745463405,
-1.3802599833576896,
1.2656956767541385,
-1.3326056456787074,
-1.175929727761007,
1.8194801162025784,
-1.5602074186510333,
1.4689155765470465,
1.6096306982203625,
1.443100096692555,
-0.1816972335058034,
-0.4761191129369687,
0.18568592483616675,
-0.6659951770738618,
-... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -72.5,
"target_ratio": 0.97,
"target_value": -70.325
} | 73 |
-8345189094226804659 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3, 4, 5], [1, 4, 6, 7, 8], [3, 4, 6, 7, 8], [0, 1, 5, 7, 8], [0, 1, 3, 5], [1, 3, 4], [8, 1, 3, 7], [0, 2, 5, 7, 8], [0, 1, 3, 7], [0, 2, 3, 5, 6], [1, 2, 6], [8, 1, 3, 0], [2, 3, 4, 6, 8], [0, 3, 4, 5, 7], [0, 1, 4, 7, 8], [3, 5, 6, 7, 8], [0, 1, 2], [8, 4, 5, ... | {"states": [374, 413], "expectation_value": -0.31408171525497186, "params": [[-0.0748], [0.0726]], "bitstrings": ["010001001", "001100010"], "total_optimization_steps": 10, "probabilities": [0.0021799924400029928, 0.002188160605062278], "optimization_time": 6.759919881820679} | 0.39999999999999997 * (Z(8) @ Z(3)) + 0.39999999999999997 * (Z(4) @ Z(3)) + 0.36666666666666664 * (Z(4) @ Z(8)) + 0.31666666666666665 * (Z(5) @ Z(3)) + 0.31666666666666665 * (Z(5) @ Z(8)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.49999999999999994 * (Z(1) @ Z(3)) + 0.31666666666666665 * (Z(1) @ Z(8)) + 0.26666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.133333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.050000000000001, "smallest_bitstrings": ["001100010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[8];
rz(0.0029800342481087413) q[8];
cx q[3], q[8];
cx q[3], q[4];
rz(0.0029800342481087413) q[4];
cx q[3], q[4];
cx q[3], q[5];
rz(0.025783675378529464) q[5];
cx q[3], q[5];
cx q[3], q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZIII",
"IIIIZZIII",
"ZIIIZIIII",
"IIIZIZIII",
"ZIIZIIIII",
"IIIZZIIII",
"IIIIIZIZI",
"ZIIIIIIZI",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIZIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZIIIIZI",
"IZIIIZIII",
"ZZIIIIIII",
"IZIIZIIII",
"IZIZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"... | [
0.39999999999999997,
0.39999999999999997,
0.36666666666666664,
0.31666666666666665,
0.31666666666666665,
0.21666666666666667,
0.49999999999999994,
0.31666666666666665,
0.26666666666666666,
0.13333333333333333,
0.2,
0.2,
0.15000000000000002,
0.1,
0.21666666666666667,
0.31666666666666665... | 0.970422 | [
0.0029800342481087413,
0.06401116961278276,
0.025783675378529464,
0.04911844201813326,
-0.026327303528063655,
-0.022973299027618195,
-0.03218516972129612,
0.10614493077460027,
-0.0163479949729181,
0.024048335015107503,
0.0324435078432707,
-0.03504027433243713,
0.06618915262669597,
-0.03598... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -4.133333333333333,
"target_ratio": 0.97,
"target_value": -4.009333333333333
} | 202 |
9d1382902993d8e771af3489e0021226 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [36, 25], "expectation_value": -0.2772379676250665, "params": [[0.08], [-0.08220000000000001]], "bitstrings": ["011011", "100110"], "total_optimization_steps": 10, "probabilities": [0.01816112561846806, 0.018974913157261106], "optimization_time": 1.2258045673370361} | 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 | 1 | {"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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIZIZI",
"IIZZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
-1,
-1,
-1
] | 0.994348 | [
-1.5734866058128874,
-1.636888113613539,
-1.4874054263622778,
1.356383431000579,
1.3650040642332704,
-0.04534139745877805,
0.22676961443385552,
-0.02917844896579387,
0.17245408286024838,
-0.03354793163126881,
0.029471096484107714,
0.07208817537219585,
0.1322483325046339,
-0.092611818275263... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
6eae64ea8fbb98001d5ee0d40e46d750 | matching | 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}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 16, "source": 1, "target": 4}, {"weight": 16, "sour... | {"states": [442, 234], "expectation_value": -20.960394980605965, "params": [[0.0361, 0.009300000000000001], [-0.07640000000000001, -0.0661]], "bitstrings": ["001000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.007064235347236728, 0.008175212704202524], "optimization_time": 3.384641408920288} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 14.0 * Z(1) + 10.0 * Z(0) + 18.0 *... | 1 | 9 | 2 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 163.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020149406650404926) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.020149406650404926) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020149406650404926) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.020149406650404926) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
14,
10,
18,
18,
5,
11.5,
10,
9,
2.5
] | 0.936544 | [
0.020149406650404926,
-1.5707637390273943,
1.5706722698203346,
-1.570808472281806,
-1.570917857853981,
-1.5707745541165266,
1.5707411587944087,
1.572847026847481
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -78,
"target_ratio": 0.97,
"target_value": -75.66
} | 209 |
-7909338658467892744 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 4, 6], [2, 4, 5], [1, 5], [0, 2, 3, 4, 6], [5, 6], [0, 5]]} | {"states": [113, 117], "expectation_value": -1.7987155452138497, "params": null, "bitstrings": ["0001110", "0001010"], "total_optimization_steps": 48, "probabilities": [0.07475288250493496, 0.7209843450792615], "optimization_time": 59.28402233123779} | 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(0)) + 0.05 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(2)) + 0.05 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(0)) + 0.1 * (Z(6) @ Z(2)) + 0.1 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0333333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9, "smallest_bitstrings": ["0001010"], "largest_eigenvalue": 4.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(0.583090386091574) q[0];
h q[1];
ry(-2.7875390858664266) q[2];
rz(-pi) q[2];
h q[3];
ry(0.03255136696642838) q[3];
h q[4];
h q[5];
ry(-0.28781017147962173) q[5];
h q[6];
cx q[6], q[5];
ry(0.28781017147962173) q[5];
cx q[6], q[5];
ry(-0.24626762217382658) q[5]... | 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(1.2883) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZZIIII",
"ZZIIIII",
"IIIZIIZ",
"IIIZZII",
"IIZZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IZI... | [
0.05,
0.05,
0.1,
0.05,
0.1,
0.26666666666666666,
0.05,
0.1,
0.1,
0.1,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.05,
0.05,
0.05,
0.05,
0.09999999999999998,
0.20000000000000007,
0.3666666666666667,
0.3666666666666667,
0.20000000000000007,
0.166666666666... | 0.972288 | [
1.0554715926391487,
-0.5756203429592435,
1.4551179048431258,
-0.49253524434765317,
1.5182237904786042,
1.166180772183148,
-0.7653872923514169,
0.02249498163387774,
0.44357354264658844,
0.07314972707573379,
0.3225423328647634,
-0.41045922944855456,
0.06510273393285676,
-0.4760302451289711,
... | {
"n_parameters": 41,
"n_qubits": 7,
"optimal_eigenvalue": -2.0333333333333337,
"target_ratio": 0.97,
"target_value": -1.9723333333333335
} | 19 |
9194789fd8ef7285e3eb985ead1ac825 | 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": 4}, {"source": 1, "... | {"states": [240, 255], "expectation_value": -25.06298058174825, "params": null, "bitstrings": ["111100001111", "111100000000"], "total_optimization_steps": 100, "probabilities": [0.11430861175963669, 0.4173818854524016], "optimization_time": 220.95350337028503} | -2.5 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(10)) + -2.0 * (Z(11) @ Z(10)) +... | 1 | 12 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.0, "smallest_bitstrings": ["111100000000"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.07860069792230337) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.015119854827492835) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.07860069792230337) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.07860069792230337) q[3];
cx q[1], q... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(-1.5708) 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];... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIIIZIZIIIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IZIZIIIIIIII",
"ZZIIIIIIIIII",
"ZIIZIIIIIIII",
"IZZIIIIIIIII",
"IIZZIIIIIIII",
"ZIZIIIIII... | [
-2.5,
1.5,
-2.5,
-2.5,
1.5,
-2.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.620411 | [
0.07860069792230337,
-0.015119854827492835,
1.2025737343756933,
1.420561511583274,
0.10917427762385505,
1.3063411210195484
] | {
"n_parameters": 6,
"n_qubits": 12,
"optimal_eigenvalue": -32,
"target_ratio": 0.97,
"target_value": -31.04
} | 173 |
c51df70f6c86a32c21e504b9f41dac95 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": ... | {"states": [2048, 2047], "expectation_value": -11.269898980622605, "params": [[[-0.0077, 0.30670000000000003], [-0.0, 0.0009000000000000001], [-0.0035, -0.0018000000000000002], [-0.0038, -0.0021000000000000003], [0.0017000000000000001, -0.0013000000000000002], [-0.0025, -0.0017000000000000001], [-0.0001, -0.0032], [-0.... | -0.25 * (Z(0) @ Z(6)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.5 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(8)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(8)) + -0.25 * (Z(2) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @... | 15 | 12 | 4 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.75, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.105107277696195) q[0];
ry(-0.11404687635988812) q[1];
ry(0.1479662098756568) q[2];
ry(0.25530088067231105) q[3];
ry(-0.09872291963466828) q[4];
ry(-0.14132629737945843) q[5];
ry(-0.24349617310291918) q[6];
ry(-0.04719656091884171) q[7];
ry(-0.02253714895235076) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIZIIZIII",
"IIIIIIIIZIIZ",
"IIIIIIIIZIZI",
"IIIZZIIIIIII",
"IIIZIIIIIIZI",
"IIIIIIIZZIII",
"IIIZIIIZIIII",
"IIIIIIIIZZII",
"IIIZIIIIIZII",
"IIIIIIIZIZII",
"IIIIIZZIIIII",
"IIIIIIZIIZII",
"ZIIIIZIIIIII",
"ZIIIIIIIIZII",
"ZIIIIIZIIIII",
"IZIIZIIII... | [
-0.25,
-0.5,
-0.75,
1,
-0.25,
-0.5,
-0.25,
-0.5,
-1.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.25,
-0.25,
-1.25,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.5,
1.25,
-0.25,
0.5,
-2,
0.25,
0.25,
0.75,
0.25,
-0.25,
0,
-0.25,
-0.5
] | 0.970608 | [
-0.105107277696195,
-0.11404687635988812,
0.1479662098756568,
0.25530088067231105,
-0.09872291963466828,
-0.14132629737945843,
-0.24349617310291918,
-0.04719656091884171,
-0.02253714895235076,
0.23036190382226962,
-0.10354599613808504,
2.386420900904459,
0.021440101741937417,
-0.0008316969... | {
"n_parameters": 38,
"n_qubits": 12,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 60 |
26d7f56e59bfdf48052023802b40605b | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 1}, {"id": 4}, {"id": 2}], "edges": [{"source": 0, "target": 3}, {"source": 3, "target": 1}, {"source": 3, "target": 4}, {"source": 1, "target": 4}, {"source": 4, "target": 2}]} | {"states": [23419, 23411], "expectation_value": -6.920390558568804, "params": [0.762, 0.06960000000000001, 0.7524000000000001, 0.09680000000000001, 0.4015, 0.3849, 0.3517, 0.3826, 0.765, 0.06520000000000001, 0.7529, 0.12710000000000002, 0.79, -0.058100000000000006, 0.7837000000000001, 0.08950000000000001, 0.3488, 0.345... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) ... | 7 | 15 | 2 | {"smallest_eigenvalues": [-8.749999999999964], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999961, "smallest_bitstrings": ["010010010001100"], "largest_eigenvalue": 26.25000000000008} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIIIZIIIIIZIII",
"IIIIZIIIIIZIIII",
"IIIIIIIIIIZZIII",
"IIIZIIIIIZIIIII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25,
1,
1,
1,
1.25,
1.25,
1.25,
0.75... | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
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