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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7315cffe0b5dede12a8ac7922de6354f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [7292, 7420], "expectation_value": -43.882375343756294, "params": [0.656, 0.2048, -0.7793, 0.0366, -0.7811, -0.0013000000000000002, 0.0011, 0.27790000000000004, -0.004200000000000001, -0.6317, 0.46880000000000005, 0.1766, 0.7599, 0.015600000000000001, 0.7411, 0.0076, 0.7609, 0.0195, 0.7821, -0.0019, 0.7943, ... | -0.5 * (Z(0) @ Z(5)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(0)) + 2.0 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(0)) + 4.0 * (Z(7) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.875 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(6)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(5)) + 0.875 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(6)) + -2.0 * (Z(2) @ Z(7)) +... | 18 | 13 | 4 | {"smallest_eigenvalues": [-44.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.0, "smallest_bitstrings": ["0001100000011"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.8461017394804872) q[0];
rz(-0.09828752457631751) q[0];
rx(0.8931785267418078) q[1];
rz(0.15878390029985712) q[1];
rx(1.0052116065928407) q[2];
rz(0.04784005170967623) q[2];
rx(-0.07283377410257255) q[3];
rz(-1.0534473927958765) q[3];
rx(-0.1344251143164993) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIIZ",
"IIIIIIZZIIIII",
"IIIIIIZIIIIIZ",
"IIIIIZIZIIIII",
"IIIIIZIIIIIIZ",
"IIIIIZZIIIIII",
"IIIIIIIZIIIZI",
"IIIIIIIIIIIZZ",
"IIIIIIZIIIIZI",
"IIIIIZIIIIIZI",
"IIIIIIIZIIZII",
"IIIIIIIIIIZIZ",
"IIIIIIZIIIZII",
"IIIIIZIIIIZII",
"IIIIIIIIIIZZI",
"IIIIZIIZIIIII",
"IIIIZIZIIII... | [
-0.5,
2,
-1,
2,
-1,
4,
-1,
0.875,
-2,
-2,
-1,
0.875,
-2,
-2,
1.75,
0.5,
1,
1,
-0.5,
1,
2,
2,
2,
-1,
1,
2,
2,
2,
-1,
4,
-1,
0.875,
-2,
-2,
0.5,
-0.5,
1,
1,
-1,
1,
-1,
2,
2,
-2,
1,
5,
-0.3125,
10,
10,
-0.625,
-0.625,
... | 0.973262 | [
0.8461017394804872,
0.20687923176311931,
0.8931785267418078,
0.15878390029985712,
1.0052116065928407,
0.04784005170967623,
-0.07283377410257255,
-1.0534473927958765,
-0.1344251143164993,
-1.003750995246472,
0.6779590460870614,
0.18859212465208747,
1.198491431850985,
-0.030026211261719803,
... | {
"n_parameters": 111,
"n_qubits": 13,
"optimal_eigenvalue": -44.625,
"target_ratio": 0.97,
"target_value": -43.286249999999995
} | 2 |
678e5b6728537a89b2ea3ed55a2f826e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [106, 362], "expectation_value": -5.511166104760055, "params": [0.101, 0.1008, 0.7872, 0.7894, -0.0038, -0.0035, 0.7999, 0.7965, 0.8012, 0.8013, 0.038400000000000004, 0.0014, 0.811, 0.8028000000000001, 0.0016, 0.00030000000000000003, 0.8026000000000001, 0.8074, 0.2617, 0.2695, 0.1797, 0.4761, 0.457, 0.2963, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["0101100110", "1010010101"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.01578317207524955) q[0];
rz(pi/2) q[0];
ry(1.6463728768639767) q[1];
ry(-0.0408644406768839) q[2];
ry(1.8545053921428891) q[3];
ry(1.3056930863365177) q[4];
ry(-0.0158243889481525) q[5];
ry(1.6032450037449895) q[6];
ry(0.23822410722135184) q[7];
ry(1.459682918981... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIZIZII",
"ZIIIIIIIZI",
"IIZIIIIZII",
"ZIZIIIIIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZIZIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IZIIZIIIII",
"IIZZIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII"... | [
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,
-1.5,
-1,
-2,
-1.5,
-1,
0
] | 0.971761 | [
-0.01578317207524955,
1.6463728768639767,
-0.0408644406768839,
1.8545053921428891,
1.3056930863365177,
-0.0158243889481525,
1.6032450037449895,
0.23822410722135184,
1.459682918981676,
0.25633508979484076,
0.4722833890801815,
-0.4503501150747205,
-0.44228703433880995,
0.1770194916950838,
... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 22 |
11a7b77c76c4b7bf9453251e9cd95b58 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1464, 1456], "expectation_value": -105.97908152347905, "params": [1.399, 0.20700000000000002, 0.7808, 0.40290000000000004, 1.3996000000000002, 0.0176, 1.4060000000000001, -0.30360000000000004, 0.28090000000000004, -0.6289, 1.4026, -0.0019, 1.4015, 0.1925, 0.8205, 0.3378, 0.0027, -1.0142, 0.0027, -0.8604, 0.... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(10) @ Z(0)) + 6.5 * (Z(10) @ Z(3)) + 20.0 * Z(0... | 18 | 11 | 2 | {"smallest_eigenvalues": [-128.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -112.0, "smallest_bitstrings": ["01001001111"], "largest_eigenvalue": 229.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.7111580428556443) q[0];
rz(0.4461346552023584) q[0];
rx(0.2154670937822844) q[1];
rz(0.8775199604194905) q[1];
rx(1.3467732151861327) q[2];
rz(-0.05359018110470205) q[2];
rx(1.4444416087788974) q[3];
rz(-0.35774133955201837) q[3];
rx(0.07676094992601885) 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], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIIZIIZII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIZIIIIZI",
"IIIZIIIIZII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"ZIIIIIIIIIZ",
"ZIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIZII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
20,
22.5,
11,
20.5,
1,
21,
10,
11.5,
1,
-9.5,
-10
] | 0.974379 | [
1.7111580428556443,
0.18878718552779683,
0.2154670937822844,
0.8775199604194905,
1.3467732151861327,
-0.05359018110470205,
1.4444416087788974,
-0.35774133955201837,
0.07676094992601885,
-0.37328323577919165,
1.8131110410921498,
-0.00885026677436265,
1.3895093614937164,
0.50841252408159,
... | {
"n_parameters": 60,
"n_qubits": 11,
"optimal_eigenvalue": -128,
"target_ratio": 0.97,
"target_value": -124.16
} | 16 |
9b6c90aee56ab84919f7c826e678a024 | kclique | 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": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [1, 9], "expectation_value": -4.6330233119459505, "params": [[[0.1285, 0.1799], [0.47900000000000004, -0.0012000000000000001], [0.08660000000000001, -0.1985], [0.2644, -0.10600000000000001], [0.5021, -0.0025]], [[0.1303, 0.1799], [0.47790000000000005, -0.0013000000000000002], [0.08700000000000001, -0.1985], ... | 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)) + 1.75 * (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)) + -2.5 * Z(1) + -2.75 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "10110"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
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[... | {"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,
1.75,
1.75,
2,
2,
1.75,
2,
-2.5,
-2.75,
-3,
-2.5,
-2.25
] | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
0541faf635a6399f550a5b5935bfa17a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [32, 33], "expectation_value": -3.0395469602056053, "params": [[[0.8081, -0.0019], [-0.0155, 0.3909], [0.19190000000000002, -0.3083], [0.2079, 0.28800000000000003], [-0.011600000000000001, -0.3961], [0.8095, -0.0026000000000000003]], [[0.8104, 0.006500000000000001], [-0.0151, 0.0036000000000000003], [0.198, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["010111", "111010", "111001", "100111", "011110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2586347423333518) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.2586347423333518) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2586347423333518) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.2586347423333518) q[2];
cx q[3], q[2];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZZIIII",
"IIZZII",
"IZIZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.849143 | [
0.2586347423333518,
-0.9522193741903392,
-0.4483492681819256,
-1.0023321824572908,
0.8794944450881496,
-1.7734914868935794,
-1.1441282434786142,
-0.46313879118016416
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 241 |
236eee02726333745789aca07c73fbad | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [0, 30], "expectation_value": -9.74148409989255, "params": [0.3236, 0.5106, -0.4423, 1.1975, 0.3098, 0.4063, -0.6505000000000001, 1.5878, 0.558, 1.124, -0.5377000000000001, 1.153, 0.5333, 1.3008, -0.1496, 1.1792, -0.5681, -0.18680000000000002, -0.531, 0.44920000000000004, 0.1227, 0.9843000000000001, -0.0526,... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + -0.5 * Z(4) | 6 | 5 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00001"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(0.020655816308775096) q[0];
rz(2.72080401718914) q[0];
rx(-1.5889324921289438) q[1];
rz(2.2974262509286767) q[1];
rx(1.2092140805544014) q[2];
rz(2.5302179081483844) q[2];
rx(1.4716295835037456) q[3];
rz(2.5527127996416414) q[3];
rx(-0.49072718365226614) q[4];
rz(0.9... | 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[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZZII",
"IZIIZ",
"IIZZI",
"IIIZZ",
"IZIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-2,
-2,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.976382 | [
0.020655816308775096,
1.1500076903942438,
-1.5889324921289438,
0.7266299241337801,
1.2092140805544014,
0.9594215813534877,
1.4716295835037456,
0.9819164728467445,
-0.49072718365226614,
0.9227604098826407,
0.6291010245873265,
0.4424930737588961,
0.5527730480176062,
-0.05320108343876882,
0... | {
"n_parameters": 49,
"n_qubits": 5,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 75 |
253d3995de007ce15800f0023018551d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2... | {"states": [0, 1], "expectation_value": -7.15930499177868, "params": [-0.0041, 0.23240000000000002, 0.0046, 0.305, 0.0035, 0.2847, 0.0024000000000000002, 0.2983, 0.0012000000000000001, -0.2625, 0.0022, 0.3151, 0.4047, 0.0032, -0.0023, 0.2624, 0.0002, 0.3146, 0.0017000000000000001, 0.248, 0.0022, 0.31370000000000003, 0.... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5) | 3 | 7 | 4 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02121917373057882) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.7085683064572578) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.06024138352319858) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.06024138352319858) 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IIZIIZI",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.25,
-1,
1.75,
-1,
-0.5,
-0.75,
-0.75,
-0.5,
-2,
-0.25,
-1.75,
1.75,
1.75,
1,
-0.5
] | 0.970798 | [
-0.02121917373057882,
0.7085683064572578,
-0.06024138352319858,
-0.717158803780761,
-0.027419781330413187,
0.9534655477484596,
0.681696906877384,
-0.7086536622318328,
1.7659512478861448,
0.02937759427138251,
1.1009043106829477,
-0.25747217679567397,
-1.11426630721713,
0.6485468629559561,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 73 |
1eb497453685e0a5de2e6411992ed720 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target":... | {"states": [353, 481], "expectation_value": -5.060026808580806, "params": [0.0017000000000000001, 0.0018000000000000002, 1.5678, 1.5689000000000002, 0.8448, 0.8480000000000001, 1.5883, 1.5885, 1.5743, 1.5769, 0.011600000000000001, -0.0049, -0.0032, -0.0032, -0.0206, -0.019200000000000002, -0.0023, -0.0023, 1.5751000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(9) @ Z(6)) + -1.0 * Z(2) + -0.5 * Z(0) + 0.0 * Z(1) + -1.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(... | 13 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000011110", "1001011010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.07543172606075149) q[0];
rz(-0.06350241598763044) q[0];
ry(1.5343338249502698) q[1];
ry(1.4363204078313465) q[2];
ry(1.5403235755586095) q[3];
ry(1.776056973180921) q[4];
ry(0.08039764864485581) q[5];
ry(0.008125369124415468) q[6];
ry(-0.0035047127105890183) 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": []} | [
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIZIIZII",
"IIIZIIIZII",
"IIIZZIIIII",
"IIZIIIZIII",
"IZZIIIIIII",
"IZIIIIZIII",
"IIIIZZIIII",
"IZIIIZIIII",
"ZIIZIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IIIIIIZIII",
"IZIIIIIIII",
"IIIIIZIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
0,
-1,
-1,
-0.5,
-0.5,
-1,
-0.5,
0
] | 0.974212 | [
-0.07543172606075149,
1.5343338249502698,
1.4363204078313465,
1.5403235755586095,
1.776056973180921,
0.08039764864485581,
0.008125369124415468,
-0.0035047127105890183,
-0.024389976976365822,
1.5924320656227098,
-0.12700483197526088,
-1.114512692009514,
1.236468264775006,
1.057975363969234,... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 8 |
834390fba4c480def6c6a26217d7a9af | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5... | {"states": [35, 33], "expectation_value": -10.499999938947196, "params": null, "bitstrings": ["1011100", "1011110"], "total_optimization_steps": 26, "probabilities": [4.003266179411504e-08, 0.999999957628926], "optimization_time": 24.43151044845581} | -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 | 1 | {"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... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"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 |
bb51b85a8f0cca1e878093cb2d4e9f25 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [237, 236], "expectation_value": -1.6266615598803438, "params": [0.9057000000000001, -0.0088, 0.897, 0.0, 0.9062, 0.0002, -0.0018000000000000002, 0.5482, 0.8995000000000001, 0.0012000000000000001, 0.9034000000000001, 0.0035, -0.0019, 0.619, 0.6917, -0.0921, 0.9104000000000001, 0.0037, 0.9011, 0.0089, 0.90770... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 18 | 8 | 2 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["00010011"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IIZZIIIZ",
"IZIZIIIZ",
"IZZIIIIZ",
"IZZZIIII",
"IZZZIIIZ",
"IIIZIIZ... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.125,
0.125,
-0.625,
0.125,
... | 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 |
b301caa8ee54d69b7ea37306c72194d5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [214, 118], "expectation_value": -16.938614049393912, "params": [[0.0085, 0.0131, 0.0111, -0.0017000000000000001], [-0.029900000000000003, -0.0461, -0.049100000000000005, -0.046700000000000005]], "bitstrings": ["00101001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.010315025886668308, 0... | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 7.5 * Z(0) + 13.5 * Z(3) + 18.0 * Z(1) + 18.0 * Z(2) + 8.0 * Z(5) + 4.5 * Z(4)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 126.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-0.06347993300546761) q[0];
ry(2.992575480203145) q[0];
rz(-2.8384273294090185) q[0];
rz(2.1169877527792913) q[1];
ry(0.32367041637651545) q[1];
rz(-0.9241277141255932) q[1];
rz(0.3928639994170604) q[2];
ry(2.9960386583190366) q[2];
rz(-2.9496046030450467) q[2];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIZIIZII",
"IIZZIIII",
"IZIZIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
7.5,
13.5,
18,
18,
8,
4.5,
6,
1
] | 0.975073 | [
0.7541740997564996,
-0.08897060080098201,
0.0341104565438206,
0.3162561023169565,
0.9646454844957498,
-0.08022338423338521,
-0.015940874132053987,
0.24465601585825247,
1.1360293018527372,
0.15521536851054535,
0.0916895373402746,
-0.42605715799213406,
0.009023942239593907,
0.136073202055540... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -46,
"target_ratio": 0.97,
"target_value": -44.62
} | 12 |
8bcc18192d0165790ce11c08d4658dbf | 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": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [120, 248], "expectation_value": -3.575214753094979, "params": [0.8011, 0.1174, 0.797, 0.0097, 0.8077000000000001, 0.1232, 0.8037000000000001, 0.0054, 0.808, 0.1403, 0.803, 0.0045000000000000005, 0.8125, 0.1521, 0.8119000000000001, 0.0067, 0.8057000000000001, 0.1529, 0.8078000000000001, 0.0003000000000000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(5) + -1.0 * Z(0) + -1.5 * Z(6) + -1.0 * Z(7) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0724259829321112) q[0];
rz(-0.08134401202010233) q[0];
rx(1.5072511312235077) q[1];
rz(0.41392802661835315) q[1];
rx(1.2012054063215576) q[2];
rz(-0.28506402522368335) q[2];
rx(1.173361947345214) q[3];
rz(0.027501801035974438) q[3];
rx(1.5217780039452815) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IZIIIIIZ",
"ZIZIIIII",
"ZIIIIIIZ",
"IIZIIIZI",
"ZIIIIIZI",
"IIZIIZII",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII"
] | [
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,
-0.5,
-0.5,
0,
0
] | 0.975807 | [
1.0724259829321112,
-0.1371330318978933,
1.5072511312235077,
0.4378892337533492,
1.2012054063215576,
-0.33022356159703126,
1.173361947345214,
-0.06937425669907615,
1.5217780039452815,
0.3363360765973994,
-0.18858521835915487,
0.24730781616669775,
-0.043395176744060286,
-1.1601703934089016,... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 39 |
df6b0a55435c2e6f48611bfeaa2a8959 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [55, 47], "expectation_value": -3.1542913354289164, "params": [[0.1635, 0.1651], [-0.1544, -0.1626]], "bitstrings": ["11001000", "11010000"], "total_optimization_steps": 20, "probabilities": [0.018238207818004656, 0.01823820781800467], "optimization_time": 5.164532423019409} | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11010000", "11001000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.023782534509358612) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.2362354194851212) q[1];
cx q[5], q[1];
cx q[0], q[1];
rz(-0.2362354194851212) q[1];
cx q[0], q[1];
cx q[5], q[2];
rz(-0.2362354194851212) 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] 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] ... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIIZZ",
"IIZIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IZZIIIII",
"IZIIIIZI",
"ZIZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIZIZI",
"IZIIZIII",
"ZIIIZIII",
"IIIZIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIIZZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IZIIIII... | [
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
1.5,
-0.5,
0.5,
0,
2,
2,
-0.5,
-0.5
] | 0.690016 | [
0.023782534509358612,
-0.2362354194851212,
0.0030841673081000017,
-1.5267108229648716,
-1.5111620816372704,
-1.5332934594005045,
1.9304385541401896
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 207 |
50803b752054f0512687e537ee7368f9 | 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": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 3, "target": 5}, {"weight": 1, "... | {"states": [1322, 1386], "expectation_value": -0.03509510857671793, "params": [1.4077000000000002, 0.0015, 1.7144000000000001, 0.007, 1.3819000000000001, 0.0043, 1.7326000000000001, 0.004, 1.4858, 0.0064, 1.6457000000000002, 0.0068000000000000005, 1.7378, 0.0098, 1.385, 0.0077, 1.7149, 0.0068000000000000005, 1.4105, 0.... | 0.25 * (Z(0) @ Z(1)) + -0.0015 * (Z(2) @ Z(0)) + -0.0015 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0005000000000000001 * (Z(4) @ Z(0)) + -0.0020000000000000005 * (Z(4) @ Z(2)) + 0.0005000000000000001 * (Z(5) @ Z(1)) + -0.0020000000000000005 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0005000000000000001 * (Z(6) @ Z(0))... | 3 | 12 | 1 | {"smallest_eigenvalues": [-1.519499999999999, -1.519499999999999], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5154999999999998, "smallest_bitstrings": ["010101101010", "101010010101"], "largest_eigenvalue": 1.5205000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-3.118963683468091) q[0];
ry(-0.017918109517936636) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5232555292397325) q[2];
ry(-0.11982451051349112) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.0455035030484382) q[3];
cx q[2], q[3];
cx q[2], q[0];
ry(-0.07016976767686646) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 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,
-0.0015,
-0.0015,
0.25,
0.0005000000000000001,
-0.0020000000000000005,
0.0005000000000000001,
-0.0020000000000000005,
0.25,
0.0005000000000000001,
0.0005000000000000001,
0.00025000000000000006,
0.0005000000000000001,
0.0005000000000000001,
0.00025000000000000006,
0.25,
-0.0015,... | 0.997671 | [
-1.5523952299069044,
-1.4054683132329673,
1.5232555292397325,
-0.0910070060968764,
0.14033953535373292,
-0.02773759371322497,
-0.0009659747401112133
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
ad41155c2cfbb6d9d884fbedda702946 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [363, 357], "expectation_value": -91.19774518783514, "params": [[[1.3942, 0.1729], [0.0631, 0.17200000000000001], [1.2596, 0.22080000000000002], [0.24760000000000001, 0.3901], [0.28190000000000004, 0.7647], [0.16570000000000001, 0.0246], [0.21430000000000002, 0.7982], [0.1557, 0.3486], [0.0161, 1.3943], [0.0... | 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(5)) + 6.5 * (Z(9) @ Z(8)) + 6.5 * (Z(10) @ Z(9)) + 6.5 * (Z(1) @ Z(10)) + 15.0 * Z(2) + 14.0 * Z(4) + 3.5 * Z(3) + 1.0 * Z(6) + ... | 15 | 11 | 2 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -94.5, "smallest_bitstrings": ["11010011010"], "largest_eigenvalue": 162.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.4550124549841774) q[0];
ry(0.15795564491868772) q[1];
ry(1.643699263515067) q[2];
ry(-0.11249138891688677) q[3];
ry(0.22772030860353093) q[4];
ry(0.1357685111697385) q[5];
ry(0.024861296817642403) q[6];
ry(0.01107234504460576) q[7];
ry(-0.10521402213803868) 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZII",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZIIIIZII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IZIIIZIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIZIIIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
15,
14,
3.5,
1,
12.5,
1.5,
12.5,
8.5,
7.5,
-2.5,
-11
] | 0.972323 | [
1.4550124549841774,
0.15795564491868772,
1.643699263515067,
-0.11249138891688677,
0.22772030860353093,
0.1357685111697385,
0.024861296817642403,
0.01107234504460576,
-0.10521402213803868,
0.19299493122202543,
-0.7325931316410146,
0.4470993611470586,
0.372433787225347,
0.30482356649686454,
... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -112.5,
"target_ratio": 0.97,
"target_value": -109.125
} | 50 |
-5496995726423767974 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2], [0, 4], [3, 4]]} | {"states": [4, 5], "expectation_value": -0.008045828456856405, "params": [[[1.4916, 0.003], [1.4812, 0.0027], [1.6456000000000002, 0.0081], [1.4931, 0.0039000000000000003], [1.6308, 0.0034000000000000002]]], "bitstrings": ["11011", "11010"], "total_optimization_steps": 170, "probabilities": [0.039999293986984645, 0.045... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.5, "smallest_bitstrings": ["01001", "00101", "11010", "10110"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-1.1960618237337863) q[1];
cx q[2], q[1];
rz(-1.8370526433386658e-08) q[1];
rx(0.7853981874169259) q[1];
rz(-1.8370526433386658e-08) q[2];
rx(0.7853981874169259) q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-1.1960618237337863) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} | [
"IIZZI",
"ZIIIZ",
"ZZIII",
"IIZII",
"IIIZI",
"ZIIII",
"IIIIZ",
"IZIII"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.733945 | [
-1.1960618237337863,
-1.8370526566657042e-8,
0.785398187416926
] | {
"n_parameters": 3,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 83 |
9cd61de466d87c99ffcd4d9aaf27361b | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"sour... | {"states": [255, 248], "expectation_value": -1.4101747861775362, "params": [[-0.0692], [0.0718]], "bitstrings": ["00000000", "00000111"], "total_optimization_steps": 10, "probabilities": [0.005720718172024811, 0.0061331131334625534], "optimization_time": 0.8998496532440186} | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(2)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(0.19928659443148333) q[1];
h q[2];
ry(0.19928659443148333) q[2];
h q[3];
cx q[3], q[1];
ry(-0.19928659443148333) q[1];
cx q[3], q[1];
ry(1.4028376472425723) q[1];
cx q[1], q[2];
ry(-0.19928659443148333) q[2];
cx q[1], q[2];
ry(1.2198561080294412) 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;
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];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[4]... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZZIII",
"IIIIZZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2.5,
1,
-2,
-2,
0.5,
-2.5,
1,
-2,
0.5,
-2,
-2,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
1.5,
-1.5,
-1.5
] | 0.970678 | [
0.39857318886296667,
1.0198734767620647,
0.9389887540017249,
1.4028376472425723,
1.3223095358875248,
0.3999652625347528,
0.4556819512819255,
-1.6200427369666102,
-0.9317278884620666,
-0.6458104238159206,
-0.3115638160764419,
-0.26729457089977376,
-0.4777943766016436,
-0.11570648136391645,
... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 41 |
231c6eb4e7cbdb3201d2afdbe0b8fff4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "... | {"states": [0, 4091], "expectation_value": -7.848408060667344, "params": [0.08660000000000001, 0.5979, -0.057100000000000005, 0.2617, 0.5594, 0.42800000000000005, -0.3365, 0.2363, 0.6565000000000001, 0.331, -0.2503, 0.38970000000000005, 0.7283000000000001, 0.1396, 0.28550000000000003, 0.039400000000000004, 0.7253000000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(0)) + -1.5 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * (Z(2) @ Z(11)) + -1.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(7) + 0.5 * Z(11)... | 6 | 12 | 2 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["000000000100"], "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] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIZZIIIIII",
"ZZIIIIIIIIII",
"ZIIIIIIIIZII",
"IZIIIIIIIZII",
"IIIIIIIZZIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIZIIIII",
"IIIZIIIIIIII",
"IIIIIZIIIIII",
"IIIIZIIIIIII",
"ZIIIIIIIIIII",
"IZIIIIIII... | [
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.612335 | [
-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 |
5985963686351180530 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 3, 4, 5, 6, 9, 10], [0, 1, 12, 8], [0, 2, 12], [0, 5, 6, 9, 12], [2, 5, 6, 7, 8, 9], [8, 4, 12], [3, 12, 5], [2, 6, 8, 10, 11], [0, 1, 3, 4, 8, 11], [0, 2, 6, 8, 11], [0, 2, 4, 5, 11], [0, 11, 12], [0, 12, 7], [9, 11], [0, 3, 5, 6, 7, 9, 10], [... | {"states": [3555, 3559], "expectation_value": -5.924561294009542, "params": [0.0021000000000000003, 0.002, 1.2354, 1.9112, 1.4647000000000001, 1.6859000000000002, 1.8937000000000002, 1.2455, 1.5507, 1.586, 1.2537, 1.8922, 2.1969000000000003, 0.9384, 1.61, 1.5293, -0.19690000000000002, 0.2011, -0.0027, -0.0028, 0.758400... | 0.3678571428571428 * (Z(0) @ Z(2)) + 0.017857142857142856 * (Z(3) @ Z(2)) + 0.15833333333333333 * (Z(3) @ Z(0)) + 0.10119047619047619 * (Z(4) @ Z(2)) + 0.20833333333333334 * (Z(4) @ Z(0)) + 0.13452380952380952 * (Z(4) @ Z(3)) + 0.10119047619047619 * (Z(5) @ Z(2)) + 0.16547619047619047 * (Z(5) @ Z(0)) + 0.20833333333333... | 14 | 13 | 1 | {"smallest_eigenvalues": [-6.029761904761904], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.960714285714288, "smallest_bitstrings": ["1001000011000"], "largest_eigenvalue": 25.999999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.13239335920953915) q[0];
rz(pi/2) q[0];
ry(1.276983880188999) q[1];
ry(1.4490556786229085) q[2];
ry(1.7385157255153334) q[3];
ry(1.6148601356207062) q[4];
ry(1.2797960722614925) q[5];
ry(2.1416526316923292) q[6];
ry(1.6478212665492873) q[7];
ry(-0.1197236549970640... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZIZ",
"IIIIIIIIIZZII",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIZII",
"IIIIIIIIZIIIZ",
"IIIIIIIIZZIII",
"IIIIIIIZIIZII",
"IIIIIIIZIIIIZ",
"IIIIIIIZIZIII",
"IIIIIIIZZIIII",
"IIIIIIZIIIZII",
"IIIIIIZIIIIIZ",
"IIIIIIZIIZIII",
"IIIIIIZIZIIII",
"IIIIIIZZIIIII",
"IIIZIIIIIIZII",
"IIIZIIIIIII... | [
0.3678571428571428,
0.017857142857142856,
0.15833333333333333,
0.10119047619047619,
0.20833333333333334,
0.13452380952380952,
0.10119047619047619,
0.16547619047619047,
0.20833333333333331,
0.14166666666666666,
0.1511904761904762,
0.16547619047619047,
0.15833333333333333,
0.175,
0.1988095... | 0.977503 | [
0.13239335920953915,
1.276983880188999,
1.4490556786229085,
1.7385157255153334,
1.6148601356207062,
1.2797960722614925,
2.1416526316923292,
1.6478212665492873,
-0.11972365499706407,
-0.03722125480118764,
0.7216442170640244,
1.0112371879907491,
1.5871728341836102,
-0.051017404963283455,
0... | {
"n_parameters": 51,
"n_qubits": 13,
"optimal_eigenvalue": -6.029761904761904,
"target_ratio": 0.97,
"target_value": -5.848869047619047
} | 1 |
e0669582681ae5929d51416018b30292 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"sour... | {"states": [340, 468], "expectation_value": -3.0553718729427803, "params": [1.6003, 0.0023, 1.5998, 0.0095, 1.6073000000000002, 0.0099, 0.14200000000000002, 0.00030000000000000003, 1.6109, 0.0091, 0.5501, 0.0027, 1.6017000000000001, 0.0019, 0.0018000000000000002, 0.005, 0.5703, 0.0066, 0.009300000000000001, 0.0064, 0.0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.5 * Z(7) + -0.5 * Z(8) + 0.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) + -0.... | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["000110011", "000101011", "100101010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(3.117767850718213) q[0];
rz(-0.1285909457487886) q[0];
rx(-3.0774541284372003) q[1];
rz(0.3325280340534844) q[1];
rx(2.7963203630473448) q[2];
rz(0.08255128244647825) q[2];
rx(-0.161315423931765) q[3];
rz(0.48593491789205956) q[3];
rx(-3.06930193474153) q[4];
rz(0.12... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IZIIIIIZI",
"IIIIIZZII",
"IZIIIIZII",
"IIIIZZIII",
"ZIIZIIIII",
"IIIZZIIII",
"IZZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-0.5,
0,
-0.5,
-0.5,
-0.5,
0
] | 0.98257 | [
3.117767850718213,
0.07785173530970868,
3.2057311787423863,
0.0971632259934694,
2.7963203630473448,
-0.0731534990002137,
-0.161315423931765,
0.7099941930853557,
3.213883372438057,
0.06090402233386427,
0.09689851603413882,
-0.46503903684713094,
3.090217189045772,
-0.06856893524069108,
-0.... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 25 |
-5158734754257538344 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 5], [1, 4, 5, 7], [0, 2, 4, 5], [3, 4, 6, 7], [1, 3, 5, 6], [0, 7], [2, 4, 7], [2, 6], [0, 3, 4, 5], [0, 1, 4], [2, 3, 5, 7]]} | {"states": [109, 79], "expectation_value": -2.75327988147428, "params": null, "bitstrings": ["10010010", "10110000"], "total_optimization_steps": 50, "probabilities": [0.06977927398012386, 0.8407664958380415], "optimization_time": 91.26409101486206} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(7) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.8333333333333344], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333335, "smallest_bitstrings": ["10110000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.4352692689425637) q[0];
h q[1];
ry(0.25241742320702487) q[1];
h q[2];
ry(-0.6206485566999935) q[2];
h q[3];
ry(-0.20139527821912206) q[3];
h q[4];
ry(1.5688089365527882) q[4];
h q[5];
ry(1.4842951022312039) q[5];
h q[6];
cx q[6], q[2];
ry(0.620648556699993... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5592) 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[... | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIZIIZII",
"IIZIIIZI",
"IIZIZIII",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZIIZIIII",
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IIIZIIIZ",
"ZIIIIIIZ",
"IZIIIZII",
"IZIIIIZ... | [
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.25,
0.25,
0.3333333333333333,
0.25,
0.25,
0.16666666666666666,
0.25,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.083333333333333... | 0.972743 | [
1.5688089365527882,
1.4842951022312039,
-0.8705385378851274,
0.7468940178286437,
-1.241297113399987,
0.7851624146518696,
-0.5513999878699167,
0.48731210831155797,
-0.5219133304110188,
0.683120745263448,
-0.289277931865836,
-0.41303723134293224,
0.5048348464140497,
0.13511717874162635,
0.... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -2.8333333333333344,
"target_ratio": 0.97,
"target_value": -2.7483333333333344
} | 5 |
d95b68826fd82a56bc7a64742cbebcc0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"sour... | {"states": [138, 170], "expectation_value": -5.286748084732192, "params": [0.6841, -0.0937, 0.6839000000000001, 0.0068000000000000005, 0.9015000000000001, 0.0016, 0.9085000000000001, 0.0025, -0.0024000000000000002, 0.5313, -0.0024000000000000002, 0.0022, 0.8129000000000001, 0.25570000000000004, 0.8108000000000001, 0.00... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["101010101", "001010111"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.5572950602216786) q[0];
rz(-0.343642823492063) q[0];
rx(1.8664326214128488) q[1];
rz(-0.012198739714726261) q[1];
cx q[1], q[0];
rz(-0.11815055462704349) q[0];
cx q[1], q[0];
rx(0.5817949643772036) q[0];
rz(0.4946490087901991) q[0];
rx(1.704069795307867) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IZIIIIIIZ",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IZIIZIIII",
"IIIIZIIZI",
"IZZIIIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIIIIZZII",
"ZIIIIZIII",
"IIIIZZIII",
"IIZIIZIII",
"IIIZIIZII",
"IIIIIIZII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-1,
-1.5,
-1.5,
-1.5,
0
] | 0.970206 | [
-0.5572950602216786,
-0.46179337811910615,
1.8664326214128488,
-0.012198739714726261,
0.13730296224763547,
-0.23032705366668116,
1.3448206908637996,
0.2841837796354386,
-0.26248863075843526,
-0.8971782007736602,
1.5157718731470349,
-0.2860094266525595,
0.05809192447520162,
0.61131719361343... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 25 |
7c13ad0365481b8f4c94fe0692e944b8 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [74, 106], "expectation_value": -2.7341233255386435, "params": [[-0.0028, 1.5693000000000001, 0.26, 0.022600000000000002, 1.5264, -0.0024000000000000002, 1.5751000000000002, 0.002], [0.0034000000000000002, 1.5789, 1.6133000000000002, 1.5214, 1.596, -0.0025, 1.5793000000000001, 0.0049]], "bitstrings": ["10110... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (... | 10 | 8 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.25, "smallest_bitstrings": ["10100101", "10010101", "10001101", "11010100", "01010110", "10011100"], "largest_eigenvalue": 6.75} | 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];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.5707962879127242) q[0];
h q[0];
rx(1.1096276484305554e-07) q[1];
h q[1];
rx(0.2818339182180038) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIZZZII",
"IIZIIZII",
"IZIIIZII",
"IZZIIIII",
"IZZIIZII",
"ZIIIZIII",
"IZIIIIIZ",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.25,
0,
-0.25,
0,
-0.75,
-0.25,
-0.25
] | 0.153846 | [
1.5707962879127242,
1.1096276484305554e-7,
0.2818339182180038,
0.29522327631042783,
1.57079626082328,
-0.35558512854723284,
-0.3488988066315334,
1.570796359971608,
-0.01470265159093928,
-0.2818338345430893,
-1.5707961662067849,
-0.2698570203604268,
0.6860075752835871,
0.4982873472655991,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 394 |
d92b7c12d97dc605feea13254bd8dff9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [41, 9], "expectation_value": -1.5170238415372634, "params": [[-0.0789, -0.0796, -0.0828], [0.0775, 0.07680000000000001, 0.0777]], "bitstrings": ["1010110", "1110110"], "total_optimization_steps": 10, "probabilities": [0.021811928597117763, 0.0219065413989685], "optimization_time": 5.788404226303101} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + -0.75 * Z(4) + 0.75 * Z(6) + 0.75 * Z(3) + 0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010110", "1010100", "1110110", "1110100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.1613355818092186) q[0];
h q[1];
ry(-0.12233573057545974) q[2];
rz(-pi) q[2];
h q[3];
ry(1.3171455343153773) q[3];
h q[4];
ry(-1.4549864237177321) q[4];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.1613355818092186) q[0];
cx q[6], q[0];
ry(-1.3359098122324058) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IIZZIII",
"ZIIZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
1.75,
-0.25,
-0.5,
-0.5,
0,
-0.25,
-1,
-0.75,
0.75,
0.75,
0.5
] | 0.978301 | [
-0.3226711636184372,
1.0297858894541518,
-1.3860618782316705,
-1.4549864237177321,
-1.2701039327304473,
1.3171455343153773,
0.6533473382192567,
-0.13161175900391658,
-0.23704437420561295,
-0.36147363198884425,
0.07668172061107403,
0.05424147455893963,
0.18792758690886313,
-0.12479743597553... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 14 |
3928736435664331732 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 6], [1, 2, 3, 5, 6], [0, 2, 3, 4, 5, 7], [0, 1, 3, 4, 5, 7], [0, 2, 3, 5, 6, 7], [1, 2, 5, 6, 7], [1, 4, 6], [0, 1, 2, 3, 5]]} | {"states": [125, 243], "expectation_value": -1.2750970182689594, "params": [[0.5657], [-0.385]], "bitstrings": ["10000010", "00001100"], "total_optimization_steps": 60, "probabilities": [0.015886111483152884, 0.015969691634157124], "optimization_time": 3.3393986225128174} | 0.2333333333333333 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.25 * (Z(6) @ Z(3)) + 0.19999999999999998 * (Z(1) @ Z(4)) + 0.13333333333333336 * (Z(1) @ Z(3)) + 0.26666666666666666 * (Z(1) @ Z(6)) + 0.03333333333333333 * (Z(2) @ Z(4)) + 0.16666666666666669 * (Z(2) @ Z(3)) + 0.13333333333333336 * (Z(2) @ Z(6... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8000000000000007, "smallest_bitstrings": ["00001100"], "largest_eigenvalue": 7.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.09043863404600629) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.5691642549588065) q[6];
cx q[4], q[6];
cx q[3], q[6];
cx q[4], q[1];
rz(-0.05469993434249135) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"IZIZIIII",
"IZIIZIII",
"IIIZIIZI",
"IIIIZIZI",
"IZIIIIZI",
"IIIZIZII",
"IIIIZZII",
"IZIIIZII",
"IIIIIZZI",
"IIZZIIII",
"IIZIZIII",
"IZZIIIII",
"IIZIIIZI",
"IIZIIZII",
"IIIZIIIZ",
"IIIIZIIZ",
"IZIIIIIZ",
"IIIIIIZZ",
"IIIIIZIZ",
"IIZIIIIZ",
"ZIIZIIII",
"ZIIIZII... | [
0.2333333333333333,
0.3333333333333333,
0.25,
0.19999999999999998,
0.13333333333333336,
0.26666666666666666,
0.03333333333333333,
0.16666666666666669,
0.13333333333333336,
0.15000000000000002,
0.06666666666666667,
0.2,
0.13333333333333336,
0.18333333333333335,
0.21666666666666667,
0.06... | 0.971188 | [
0.09043863404600629,
0.5691642549588065,
-0.00018003667384829114,
-0.05469993434249135,
-0.008283880805588856,
-0.02523542944072981,
-0.013013832543912605,
0.012531056358602478,
0.012925392612988813,
0.03709970257379298,
0.10152216412172554,
1.0725668860731299,
0.000925367082958131,
0.0409... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -1.8333333333333335,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 93 |
d8ac2df33e959b7f950f3684ced85f9e | 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": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "ta... | {"states": [78, 70], "expectation_value": -2.919443803162621, "params": [[[-0.0029000000000000002, 0.0036000000000000003], [2.5119000000000002, 0.0037], [0.0024000000000000002, 0.0006000000000000001], [-0.0025, 0.008400000000000001], [1.4879, 0.0026000000000000003], [2.4955000000000003, 0.0058000000000000005], [2.4948,... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(6) @ Z(4)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + -0.5 * Z(0) + -0.25 * Z(1) + -0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5, "smallest_bitstrings": ["01110101", "10111010", "10110011", "10110101", "10111001"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.09563319609742191) q[0];
rz(0.15685015950838266) q[0];
rx(3.091695536569252) q[1];
rz(0.24490720905672825) q[1];
rx(0.11464811474435938) q[2];
rz(1.1311540285588881) q[2];
rx(-0.11157425196881661) q[3];
rz(-0.024290459841318363) q[3];
rx(0.01992465661352963) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IZZZIIII",
"ZIIZIIII",
"IIZIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIZZZI",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5
] | 0.983426 | [
-0.09563319609742191,
0.15685015950838266,
3.091695536569252,
0.24490720905672825,
0.11464811474435938,
1.1311540285588881,
-0.11157425196881661,
-0.024290459841318363,
0.01992465661352963,
-0.3680059566433535,
2.8257333348196894,
-0.47034787385590154,
3.4001200019065942,
-0.23664485618645... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 15 |
4956b44a15796d9b5317bf40a3232de2 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [60, 63], "expectation_value": -0.3498184210037012, "params": [[-0.030100000000000002], [0.042100000000000005]], "bitstrings": ["111000011", "111000000"], "total_optimization_steps": 10, "probabilities": [0.00227431427906878, 0.002297147741049739], "optimization_time": 1.552469253540039} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["111000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.5669893297986075) q[0];
h q[1];
ry(-1.5669893297986075) q[1];
rz(-pi) q[2];
ry(-0.00025845423458402075) q[2];
h q[3];
h q[4];
ry(0.6914289569720544) q[4];
cx q[3], q[4];
ry(-0.6914289569720544) q[4];
cx q[3], q[4];
ry(0.5552705824240733) q[3];
h q[5];
ry(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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIZIIII",
"IIZIIZIII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-2,
-2,
1,
-2,
-2,
-2,
-2,
-2,
1,
-1,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.929032 | [
-1.5669893297986075,
-1.5716366014994316,
1.3828579139441088,
2.1488115057857704,
1.1105411648481467,
-0.4657930945092297,
1.1297331087621536,
-0.32336585851108357,
0.00502546424383441,
0.002555572013626357,
1.580510118395439,
1.238658643614027,
-1.6951711346294682,
-1.1189914146858835,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 500 |
9f77d03a8f386682db4c484c77237fc0 | 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}, {"id": 13}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"s... | {"states": [0, 31], "expectation_value": -7.277351545933563, "params": [[-0.0713], [0.0692]], "bitstrings": ["1111111111111", "1111111100000"], "total_optimization_steps": 10, "probabilities": [0.0004270678123506289, 0.00045391700471953224], "optimization_time": 45.90653896331787} | -3.5 * (Z(0) @ Z(3)) + -3.5 * (Z(4) @ Z(3)) + -3.5 * (Z(4) @ Z(0)) + 1.0 * (Z(5) @ Z(3)) + -4.0 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(4)) + 1.5 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -4.5 * (Z(1) @ Z(4)) + -4.0 * (Z(1) @ Z(5)) + -4.0 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(0)) + 1.5 * (Z(2) @ Z(4)) + 1.5 * (Z(2) @ Z(5)) + -4.0 ... | 10 | 13 | 1 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["1111111100000"], "largest_eigenvalue": 70.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.5878864923743292) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.5878864923743292) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.5878864923743292) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(0.15423230050582237) q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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[13] c;
qubit[13] q;
h q[0];
h q[1];
... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIIZ",
"IIIIIIIIZZIII",
"IIIIIIIIZIIIZ",
"IIIIIIIZIZIII",
"IIIIIIIZIIIIZ",
"IIIIIIIZZIIII",
"IIIIIIIIIZIZI",
"IIIIIIIIIIIZZ",
"IIIIIIIIZIIZI",
"IIIIIIIZIIIZI",
"IIIIIIIIIZZII",
"IIIIIIIIIIZIZ",
"IIIIIIIIZIZII",
"IIIIIIIZIIZII",
"IIIIIIIIIIZZI",
"IIIIIIZIIZIII",
"IIIIIIZIIII... | [
-3.5,
-3.5,
-3.5,
1,
-4,
2,
1.5,
1,
-4.5,
-4,
-4,
1,
1.5,
1.5,
-4,
1,
1,
1.5,
-3.5,
-3.5,
-3.5,
-4.5,
2,
-4,
-4,
-4,
2,
-4,
-2.5,
1,
-2.5,
-2,
-2.5,
1,
-2.5,
1.5,
-2.5,
-2.5,
2.5,
-3.5,
-4,
-3.5,
3,
-4,
-3.5,
-4,
0.5,
0.5,... | 0.558744 | [
0.5878864923743292,
0.15423230050582237,
0.4767844115093185,
0.3086185715493705,
0.2078509687678671,
0.3538728355045419,
-0.004586194807901095,
-0.0027681523462458543,
0.3002887902504403,
0.3497756114314062,
-1.5880005996074165,
1.2294847071228499
] | {
"n_parameters": 12,
"n_qubits": 13,
"optimal_eigenvalue": -78,
"target_ratio": 0.97,
"target_value": -75.66
} | 356 |
5144181ac27497fdfa9bdb5b8b799630 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [494, 238], "expectation_value": -4.424768275216715, "params": [0.7439, -0.4071, 1.4471, -0.2121, 1.0856000000000001, -0.19410000000000002, 1.4578, 0.2391, 0.6643, 0.44780000000000003, 1.4563000000000001, 0.029400000000000003, 1.0329000000000002, -0.2781, 1.4609, -0.24500000000000002, 0.7426, -0.4213, 0.7473... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(... | 18 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001010100", "100010001"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}], "edges": [{"source": 2, "target": 1}, {"source": 1, "target": 0}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIIIIZIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"ZZIIIIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
1.25,
1.25,
1.25,
1.25,
1,
1.25,
1.25,
1.25,
1.25
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
a8cb958af377872a19dc800d4cc03b57 | 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}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": ... | {"states": [954, 1023], "expectation_value": -19.633301902581984, "params": null, "bitstrings": ["0001000101", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.06999519145725679, 0.36658001108365146], "optimization_time": 195.4373435974121} | -3.0 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(4)) + -2.5 * (Z(1) @ Z(3)) + 1.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -2.5 * (Z(1) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + -2.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + -2.5 * (Z(2) @ Z(7)) + ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -33.5, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.07015272413742143) q[0];
ry(0.011683501795275789) q[1];
ry(0.004086387499378022) q[2];
ry(0.011683501795275789) q[3];
ry(0.004086387499378022) q[4];
ry(0.07015272413742143) q[5];
ry(0.07015272413742143) q[6];
ry(0.1074074928201399) q[7];
ry(0.011683501795275789) q... | null | {"node": 3} | {"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];\ncry(1.5708) q[0], 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] = measu... | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIZZIIIIII",
"ZIZIIIIIII",
"ZIIZIIIIII",
"IIZIIIIZII",
"IIIZIIIZII",
"ZIIIIIIZII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IZIIIIIZII"... | [
-3,
-2.5,
-3,
-2.5,
-3,
1.5,
-2.5,
1.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2,
-2.5,
-2.5,
1,
-2.5,
1,
0.5,
-2,
1,
-2,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.985303 | [
0.07015272413742143,
0.011683501795275789,
0.004086387499378022,
0.1074074928201399,
-0.13677814267270483,
2.960127205383185,
-0.03943945222897564,
0.06977933331044484,
0.21086092642550675
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -36.5,
"target_ratio": 0.97,
"target_value": -35.405
} | 11 |
e4d024b1ac0c063adb5f497e44a53780 | 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": 6, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 8}, {"weight": 11, "source": 1, "target": 6}, {"weight": 8, "source... | {"states": [114, 112], "expectation_value": -48.06347398609628, "params": [[[0.028, -0.9662000000000001], [0.0026000000000000003, 1.4812], [1.5666, 0.0018000000000000002], [1.5725, -0.0032], [1.5714000000000001, -0.0036000000000000003], [-0.0083, 0.9670000000000001], [0.0026000000000000003, -1.1335], [0.756300000000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + -13.0 * Z(1) + -3.0 * Z(0) + -0.5 * Z(2) + 3.0 * Z(4) + ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-48.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -47.5, "smallest_bitstrings": ["110001111"], "largest_eigenvalue": 81.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(2.998865127471845) q[0];
ry(0.09986348416341079) q[0];
rz(2.1695056261792818) q[0];
rz(-0.8718070765165842) q[1];
ry(0.007864231998107174) q[1];
rz(2.355323403498864) q[1];
rz(1.6054832275279143) q[2];
ry(3.061037757049647) q[2];
rz(-1.557797928431575) q[2];
rz(-0.33... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIZIIII",
"IIZIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-13,
-3,
-0.5,
3,
1,
0.5,
-4,
-0.5,
-5
] | 0.989257 | [
0.05666924234087619,
-1.1667172718810395,
-0.0051366922915305115,
1.3979655042286798,
1.6865443802271083,
0.0028452402276504416,
1.5171038986991037,
-0.06844358352270315,
1.705946518865727,
-0.028304539235174158,
-0.00924752500214396,
1.0303522793793154,
-1.0514189025016272,
0.652220208206... | {
"n_parameters": 32,
"n_qubits": 9,
"optimal_eigenvalue": -48.5,
"target_ratio": 0.97,
"target_value": -47.045
} | 1 |
74c477dbe35486055f0a39f50499e44b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [852, 854], "expectation_value": -1.4005398355454621, "params": [[[0.27790000000000004, 0.0303], [0.499, 0.060500000000000005], [0.2084, 0.030100000000000002], [0.46790000000000004, -0.0195], [0.0361, -0.0487], [0.49910000000000004, 0.2826], [0.4838, 0.2569], [0.26880000000000004, 0.5008], [0.4811, 0.5004000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.25, "smallest_bitstrings": ["0011100100", "1000001011", "0010011001", "0010110001", "0010101001", "0010100101", "0001011010", "0001101010", "000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.568945961229374) q[0];
h q[1];
h q[2];
ry(-0.5024873650502395) q[2];
cx q[1], q[2];
ry(0.5024873650502395) q[2];
cx q[1], q[2];
ry(0.8057412380043845) q[1];
ry(-0.6760381192098136) q[2];
ry(-0.0029617717683342185) q[3];
rz(-pi) q[3];
rz(-pi) q[4];
ry(-0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZZIIIZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIZZZIIIII"... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.125,
0.25,
-0.125... | 0.996487 | [
-1.568945961229374,
-1.559719298141302,
-1.5352660551683317,
1.4579616084211091,
-1.004974730100479,
0.6444560256809038,
-0.48152347261538897,
0.3225704246469614,
-0.3890292931888493,
0.4142452803912122,
-0.07952619820417396,
-0.06513699971646146,
0.28140873634541574,
0.05302805438889746,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
-9001172058205603076 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2], [0, 3], [1, 5], [0, 1], [2, 6], [0, 6], [4, 6], [1, 4], [2, 3], [1, 3], [3, 6]]} | {"states": [67, 78], "expectation_value": -3.088972015444797, "params": null, "bitstrings": ["0111100", "0110001"], "total_optimization_steps": 46, "probabilities": [0.042474454309795295, 0.8260796653431047], "optimization_time": 52.26446175575256} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(6) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["1001110", "0110001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(0.632638420121991) q[0];
h q[1];
ry(-0.08427699006829258) q[1];
h q[2];
ry(-0.7182379488056752) q[2];
h q[3];
h q[4];
ry(0.6381692883466652) q[4];
h q[5];
cx q[5], q[1];
ry(0.08427699006829258) q[1];
cx q[5], q[1];
ry(-0.7562198661706654) q[1];
ry(1.316296030... | 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... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIIIIZZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIZIIZI",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.976008 | [
-0.16855398013658515,
1.3941352067099515,
1.2763385766933304,
-1.034557776580777,
-1.5124397323413308,
1.3162960306003597,
1.265276840243982,
-1.4364758976113503,
0.1730779445470743,
0.033221313087242146,
0.19848247658226903,
0.36813030693618254,
0.11786391221725974,
0.12778765391580105,
... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 15 |
34fec832591d56601cbd146a15fec9ed | 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": 18, "source": 1, "target": 3}, {"weight": 16, "source": 1, "target": 4}, {... | {"states": [235, 122], "expectation_value": -23.792319446139665, "params": null, "bitstrings": ["00010100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.17065210880582868, 0.1899243564462108], "optimization_time": 193.9893777370453} | 4.0 * (Z(0) @ 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(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 13.5 * Z(1) + 10.0 * Z(0) + 17.0 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.08399526504899095) q[0];
rz(0.2825788937886795) q[0];
rx(0.7951459296419685) q[1];
rz(0.2003437432581271) q[1];
rx(1.0221893354097433) q[2];
rz(-0.3092263127594003) q[2];
rx(1.0231214214866293) q[3];
rz(0.10389188217607151) q[3];
rx(0.970134509765303) q[4];
rz(0.1... | 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(-3.4097) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
10,
17,
20,
13.5,
5,
5,
6
] | 0.974076 | [
-0.08399526504899095,
0.11179873042160347,
0.7951459296419685,
0.2003437432581271,
1.0221893354097433,
-0.3092263127594003,
1.0231214214866293,
0.10389188217607151,
0.970134509765303,
0.1704895690175754,
0.36114319075678797,
0.4543183591063792,
0.6989834795043587,
-0.038232563756867066,
... | {
"n_parameters": 93,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 9 |
cde6b48ed870286595c1455af7aff8bd | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [8, 14], "expectation_value": -2.4999718231256973, "params": null, "bitstrings": ["0111", "0001"], "total_optimization_steps": 16, "probabilities": [1.3834265383317198e-05, 0.9999858819924374], "optimization_time": 5.380322217941284} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["0001"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | null | 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];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"ZIIZ",
"ZIZI",
"ZZII",
"ZIII",
"IIIZ",
"IIZI",
"IZII"
] | [
0.5,
0.5,
0.5,
-1,
0,
0,
0
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
42431c1c8039d047c82f7ec388df22d2 | 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": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -19.800381262272015, "params": [0.0004, 0.2396, -0.0017000000000000001, 0.2401, 0.0026000000000000003, 0.30960000000000004, 0.0012000000000000001, 0.3125, 0.4035, 0.0043, 0.40590000000000004, -0.005200000000000001, -0.0002, 0.21630000000000002, 0.0054, 0.2918, 0.0035, 0.2434, 0... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -1.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(9) @ Z(1)) + -1.0 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + -1.0 * (Z(10) @... | 6 | 11 | 2 | {"smallest_eigenvalues": [-20.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.75, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 19.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.09389660486124465) q[0];
rz(1.739473683193994) q[0];
rx(0.024550674781491463) q[1];
rz(1.8928395778798697) q[1];
rx(0.7796781262077006) q[2];
rz(1.668648738045957) q[2];
rx(0.026833085724702232) q[3];
rz(1.667476798602407) q[3];
rx(-0.002585750089636761) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIZIIIII",
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IZIIIIIIIZI",
"IZIIIIZIIII",
"IZIIIIIZIII",
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"ZIIIIIIZIII",
"ZZIIIIIIIII",
"IIIIIIIIZIZ",
"IIIIIIZIZII",
"IIIIIIIZZ... | [
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-1,
-0.5,
-1.5,
-1,
-1.25,
-1,
-0.25,
-0.5,
-1,
-0.75,
-0.5,
2.25,
-0.75,
-0.5,
-0.25,
-0.75,
-0.25,
-0.25,
-1.25,
-0.75,
-0.75,
-0.25,
-1,
-1,
-1,
-0.5,
-0.75,
-1.75,
-0.25,
2.25,
0.25,
-3.25,
-1.25,
0.5,
... | 0.982284 | [
0.09389660486124467,
0.16867735639909773,
0.024550674781491463,
0.32204325108497317,
0.7796781262077006,
0.09785241125106008,
0.026833085724702235,
0.0966804718075106,
-0.002585750089636761,
0.15967284804835535,
0.049964363057277195,
0.5048930710189773,
-0.030044320599898287,
0.16119538034... | {
"n_parameters": 131,
"n_qubits": 11,
"optimal_eigenvalue": -20.75,
"target_ratio": 0.97,
"target_value": -20.127499999999998
} | 20 |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [14, 7], "expectation_value": -2.66932595050422, "params": [[0.0629], [-0.0506]], "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.009957982079459124, 0.010271184053159015], "optimization_time": 2.4573848247528076} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 18 | 7 | 1 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-1.5707963530338787) q[0];
rx(1.5707962896601955) q[0];
h q[1];
rz(2.6179939068628233) q[1];
rx(1.5707962896601952) q[1];
h q[2];
rz(1.570796224356533) q[2];
rx(1.5707962896601952) q[2];
h q[3];
rz(2.6179939068628233) q[3];
rx(1.5707962896601952) q[3];
h q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0)... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-2.75,
-2.75
] | 0.84375 | [
9.350486944272168e-10,
1.570796358080628,
-1.5707963530338784,
2.6179939068628233,
1.5707962243565334,
1.5707962896601955
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 161 |
ab957251534d09507f870c3a6ef42154 | 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": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "... | {"states": [1765, 1701], "expectation_value": -0.3672565208185107, "params": [0.6795, -0.1028, 0.4863, 0.0008, 0.6988000000000001, -0.0119, 0.6976, 0.004200000000000001, 0.7067, -0.015000000000000001, 0.7053, 0.0027, 0.6942, 0.1259, 0.4839, 0.0026000000000000003, 0.7056, -0.0207, 0.7054, 0.0028, 0.7001000000000001, 0.0... | 0.25 * (Z(0) @ Z(1)) + 0.00034722222222222224 * (Z(2) @ Z(0)) + 0.00034722222222222224 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010416666666666667 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + -0.0010416666666666667 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0006944444444444445 * (Z(6)... | 6 | 12 | 1 | {"smallest_eigenvalues": [-1.5131944444444438, -1.5131944444444438, -1.5131944444444438, -1.5131944444444438], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5104166666666665, "smallest_bitstrings": ["010101101010", "011010100101", "101010010101", "100101011010"], "largest_eigenvalue": 1.52291666666666... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.8371932544002377) q[0];
rz(0.20858065204347453) q[0];
ry(-0.45655694041749045) q[1];
ry(0.4641984393163029) q[2];
ry(-0.19028136922153194) q[3];
ry(1.019406464640929) q[4];
ry(-0.07467794364198581) q[5];
ry(0.1078744572788903) q[6];
ry(0.5781622452340566) q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"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,
0.00034722222222222224,
0.00034722222222222224,
0.25,
-0.0010416666666666667,
-0.0015625,
-0.0010416666666666667,
-0.0015625,
0.25,
0.0006944444444444445,
0.00034722222222222224,
-0.0010416666666666667,
0.0006944444444444445,
0.00034722222222222224,
-0.0010416666666666667,
0.25,
... | 0.97248 | [
0.8371932544002377,
-0.45655694041749045,
0.4641984393163029,
-0.19028136922153194,
1.019406464640929,
-0.07467794364198581,
0.1078744572788903,
0.5781622452340566,
-0.09758270765337963,
0.42316099187094136,
-0.019552344140408177,
0.5019802359551023,
0.41716130408694907,
-0.391375460764549... | {
"n_parameters": 94,
"n_qubits": 12,
"optimal_eigenvalue": -1.5131944444444438,
"target_ratio": 0.97,
"target_value": -1.4677986111111105
} | 23 |
fbed7eb759f2b5af245b5b20e03cfb23 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [3, 34], "expectation_value": -4.973039785722057, "params": null, "bitstrings": ["111100", "011101"], "total_optimization_steps": 17, "probabilities": [0.0743643311537954, 0.8991266787991349], "optimization_time": 21.984670400619507} | 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(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(1) + -1.5 * Z(0) + -2.0 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["111100", "111001", "011101"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.09362127717423929) q[0];
rz(0.15898723948650006) q[0];
rx(0.01271788291818901) q[1];
rz(-0.3274973128640216) q[1];
rx(-0.2979108091192296) q[2];
rz(-0.003237763520752778) q[2];
rx(-0.02397760534694167) q[3];
rz(0.10163948195161117) q[3];
rx(0.1688669766569415) q[4]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) 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",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IZIIZI",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
-1.5,
-1.5,
-0.5
] | 0.970137 | [
0.09362127717423929,
0.15898723948650006,
0.01271788291818901,
-0.3274973128640216,
-0.2979108091192296,
-0.003237763520752778,
-0.02397760534694167,
0.10163948195161117,
0.1688669766569415,
0.1069285924342987,
2.117206731621425,
0.2152560063760715
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -40,
"target_ratio": 0.97,
"target_value": -38.8
} | 5 |
8f570f960f63671d4142917816c3a15b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [156, 188], "expectation_value": -2.373655140724243, "params": [[[0.3633, 0.1275], [0.6974, 0.1938], [0.09280000000000001, 0.1457], [0.6991, -0.2726], [0.6985, 0.4898], [0.6914, 0.47040000000000004], [0.7052, 0.6128], [0.5978, 0.6257], [0.2214, 0.2122]], [[-0.24550000000000002, 0.0757], [0.6991, 0.0236], [0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 15 | 9 | 3 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.75, "smallest_bitstrings": ["001100011", "100001011", "101000011", "010001011", "001010011", "001001011"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.09497496800020405) q[0];
ry(1.4600709921015824) q[1];
ry(0.39336561494505273) q[2];
ry(1.1159621473878063) q[3];
ry(1.0659979656717296) q[4];
ry(0.4656895360162482) q[5];
ry(1.243456357921148) q[6];
ry(-0.01938399163025254) q[7];
ry(0.38535406022032104) q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIIZ",
"IIIZIZIIZ",
"IIIZZIIIZ",
"IIIZZZIII",
"IIIZZZIIZ",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"IZZIIZIII",
"IIIIZIIZI",
"IIZIIIIZI",
"... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
-0.25,
0.125,
0... | 0.970637 | [
0.09497496800020405,
1.4600709921015824,
0.39336561494505273,
1.1159621473878063,
1.0659979656717296,
0.4656895360162482,
1.243456357921148,
-0.01938399163025254,
0.38535406022032104,
0.011117583291569604,
0.06048287065278788,
-0.02645478647171008,
0.00047416690820300395,
-0.05895013079908... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 65 |
f42741f0efd056a12fcab8fa1fa0326f | 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": -12.803579439902776, "params": [[[-1.0488, 1.1097000000000001], [0.018500000000000003, 1.1102], [-0.0012000000000000001, 0.0659], [-0.0025, -0.0016], [0.0026000000000000003, 0.0013000000000000002], [-0.0028, 0.0018000000000000002], [-0.0035, -0.0021000000000000003], [-0.004... | -1.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + -1.5 * (Z(5) @ Z(1)) + -1.5 * (Z(7) @ Z(9)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * (Z(12) @ Z(11)) + -1.5 * (Z(12) @ Z(10)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2))... | 15 | 13 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["0000000000000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.35638100292986774) q[0];
ry(0.1175607962675722) q[1];
ry(-0.042769492548054365) q[2];
ry(-0.025150623863485443) q[3];
ry(-0.07949797696027683) q[4];
ry(-0.018954585633843883) q[5];
ry(-0.046167725303074156) q[6];
ry(-0.008020258354870032) q[7];
ry(0.1472042187605... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": 12} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIIZ",
"IIIIIIZIIIIZI",
"IIIIIIZZIIIII",
"IIIIIIIZIIIIZ",
"IIIIIIIZIIIZI",
"IIIZIZIIIIIII",
"IIIZZIIIIIIII",
"IIIIZZIIIIIII",
"IZZIIIIIIIIII",
"ZZIIIIIIIIIII",
"ZIZIIIIIIIIII",
"IIIIIIIIIZZII",
"IIIIIIIIZZIII",
"IIIIIIIIZIZII",
"IIIIIIZIIIIII",
"IIIIIIIIIIIIZ",
"IIIIIIIIIII... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-1.5,
-2,
-2,
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
] | 0.972281 | [
-0.35638100292986774,
0.1175607962675722,
-0.042769492548054365,
-0.025150623863485443,
-0.07949797696027683,
-0.018954585633843883,
-0.046167725303074156,
-0.008020258354870032,
0.14720421876053238,
0.08555040807047545,
0.10237963246464893,
-0.051093135148908474,
3.039124950551079,
-0.035... | {
"n_parameters": 25,
"n_qubits": 13,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 57 |
9e72b7dd0d69a46b7f007aaed5517323 | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [24, 26], "expectation_value": -2.113151407824956, "params": [[[-0.0026000000000000003, 0.0071], [1.6146, 0.0015], [1.6124, 0.0016], [0.0021000000000000003, 0.0012000000000000001], [1.6121, 0.0081], [0.5332, 0.0041]]], "bitstrings": ["100111", "100101"], "total_optimization_steps": 160, "probabilities": [0.1... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3) @ Z(1... | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IZIIZI",
"IIZIZI",
"IZIZII",
"IIZZII",
"IZZIII",
"IZIZZI",
"IIZZZI",
"IZZIZI",
"IZZZII",
"IZZZZI",
"ZIIZII",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-1,
-0.125,
-0.125,
-0.125,
-0.625,
-0.5
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
7897445234456818427 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 3, 12], [1, 2, 12, 5], [9, 5, 6, 7], [1, 7], [4, 7], [0, 10, 7], [8, 2, 6], [2, 10, 4], [11, 4]]} | {"states": [1727, 1215], "expectation_value": -2.5523709720671337, "params": [0.517, -0.5314, 0.49050000000000005, 0.0068000000000000005, 0.2706, 0.5672, 0.2466, 0.5912000000000001, 1.2942, 0.0339, 1.3001, 0.0051, 0.8534, -0.3111, 0.6298, -0.3048, 0.24180000000000001, 0.5157, 0.2437, 0.0057, 0.7022, 0.0766, 1.2994, 0.3... | 0.16666666666666666 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(12) @ Z(3)) + 0.16666666666666666 * (Z(12) @ Z(9)) + 0.08333333333333333 * (Z(1) @ Z(12)) + 0.08333333333333333 * (Z(2) @ Z(12)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(9)) + 0.08333333333333333 * (Z(5) @ Z(12)) + 0.083333333... | 8 | 13 | 1 | {"smallest_eigenvalues": [-3.3333333333333335, -3.3333333333333335, -3.3333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.2500000000000004, "smallest_bitstrings": ["1101101000000", "0011000100010", "1100100011000"], "largest_eigenvalue": 7.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.21169979232005098) q[0];
rz(1.6862553365701238) q[0];
rx(-0.049070721915001836) q[1];
rz(0.24575976692206464) q[1];
cx q[1], q[0];
ry(-0.7458357722299883) q[0];
cx q[1], q[0];
ry(0.9768870407435243) q[0];
rz(-2.1927286941989346) q[0];
rx(-0.07004437655103601) 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": []} | [
"IIIZIIIIIZIII",
"ZIIIIIIIIZIII",
"ZIIZIIIIIIIII",
"ZIIIIIIIIIIZI",
"ZIIIIIIIIIZII",
"IIIIIIIIIIZZI",
"IIIZIIIZIIIII",
"ZIIIIIIZIIIII",
"IIIIIIIZIIIZI",
"IIIIIIIZIIZII",
"IIIZIIZIIIIII",
"IIIIIIZIIIZII",
"IIIIIIZZIIIII",
"IIIZIZIIIIIII",
"IIIIIZIIIIIZI",
"IIIIIZIZIIIII",
"IIIIIZZIIII... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.083333333333333... | 0.972676 | [
-0.21169979232005098,
0.11545900977522597,
-0.049070721915001836,
0.24575976692206464,
1.4061072218349162,
0.00538945076069515,
0.17948147378766866,
-0.8439673227003595,
-0.029576816347287954,
0.48331225202722433,
0.9196368531515533,
-0.3386769952456621,
-0.2014451772067628,
-0.34710050977... | {
"n_parameters": 63,
"n_qubits": 13,
"optimal_eigenvalue": -3.3333333333333335,
"target_ratio": 0.97,
"target_value": -3.2333333333333334
} | 28 |
68c7da6fdb681219b05150137870d7db | 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": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}]} | {"states": [5, 1], "expectation_value": -4.7499873347537624, "params": null, "bitstrings": ["1010", "1110"], "total_optimization_steps": 8, "probabilities": [1.2623559847835846e-05, 0.9999873681076068], "optimization_time": 2.7772789001464844} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.25 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1110"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4747694771302854) q[0];
cx q[1], q[0];
rz(0.4747694771302853) q[1];
rx(1.6040217911993713) q[1];
h q[2];
cx q[0], q[2];
rz(0.2577776396192456) q[2];
cx q[0], q[2];
rz(0.2577776396192455) q[2];
rx(1.6040217911993713) q[2];
h q[3];
cx q... | 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];\nry(1.5706) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\n... | [
"IIZZ",
"IZIZ",
"ZIIZ",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
-0.25,
-0.75,
1.25,
-0.25,
-0.25,
-0.75,
1.25
] | 0.97003 | [
0.4747694771302854,
0.2577776396192456,
-0.24792115441309612,
1.6040217911993713,
0.6580701942906415,
0.4924019843505966,
-0.4259244675879271,
0.9035120634644073,
0.1777470916142513,
0.29049043206086195,
-0.40365758275486097,
0.5898445102530697,
0.6900131868427873,
0.7498956364737696,
-0... | {
"n_parameters": 16,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 121 |
9529baf1c272123f159cd9ccf2735587 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4... | {"states": [64, 63], "expectation_value": -0.33326458175474527, "params": [[0.007500000000000001, -0.0656, -0.060700000000000004], [-0.0723, 0.058800000000000005, 0.0626]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.011217349777113009, 0.011673408291198492], "optimization_... | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + -0.5 * Z(... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.05951716756405023) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.02265479429026638) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.05951716756405023) q[1];
cx q[3], q[1];
h q[4];
cx q[2], q[4];
rz(-0.05951716756405023) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.75,
-0.25,
-0.25,
0.75,
-0.25,
-0.5,
0.25,
-0.25,
-0.5,
0.25,
0,
0.5,
-0.25
] | 0.702551 | [
-0.05951716756405023,
0.02265479429026638,
-0.0017078621446601585,
-0.0009216693159784977,
-1.6675830071562805,
-1.5753684037053484,
-1.5740367613126494,
-1.5745622847367713,
1.3452619876330905
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 252 |
-6314554966025169379 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 3, 4, 9, 11], [0, 3, 4, 5, 7, 8, 9, 11], [1, 2, 10, 7], [0, 1, 2, 3, 6, 9, 11], [0, 3, 5, 6, 7, 9, 10], [0, 1, 4, 5, 7, 8, 9, 10], [1, 2, 3, 4, 5, 9], [8, 10, 4, 6], [1, 2, 5, 7, 8, 11], [0, 1, 2, 3, 7, 9, 11], [3, 4, 6, 7, 8, 9, 11], [2, 5, 6, ... | {"states": [3059, 3571], "expectation_value": -2.6540055257458013, "params": [1.6096000000000001, 1.5513000000000001, 0.9515, 0.5959, 1.085, 2.0355000000000003, 2.4299, 0.7157, 1.9098000000000002, 1.2076, 1.2407000000000001, 1.82, 1.5736, 1.5748, 2.4294000000000002, 0.6911, 2.0706, 1.1404, 0.0553, -0.0594, 2.228, 0.900... | 0.08928571428571427 * (Z(0) @ Z(1)) + 0.2214285714285714 * (Z(2) @ Z(1)) + 0.07142857142857142 * (Z(2) @ Z(0)) + 0.10476190476190475 * (Z(3) @ Z(1)) + 0.13095238095238093 * (Z(3) @ Z(0)) + 0.10476190476190475 * (Z(3) @ Z(2)) + 0.075 * (Z(4) @ Z(1)) + 0.10119047619047619 * (Z(4) @ Z(0)) + 0.05714285714285714 * (Z(4) @ Z... | 14 | 12 | 1 | {"smallest_eigenvalues": [-2.683333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6607142857142847, "smallest_bitstrings": ["001000001100"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5489096155455726) q[0];
rz(pi/2) q[0];
ry(1.0175858864355742) q[1];
ry(0.9581451631909756) q[2];
ry(2.3963414080434915) q[3];
ry(1.8628865254243216) q[4];
ry(1.2279443687589389) q[5];
ry(1.566690143893872) q[6];
ry(2.5949338100236106) q[7];
ry(2.005384757606745) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIZIIIIIIZII",
"IIZIIIIIZIII",
"IIZIIIIZIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIIIIII... | [
0.08928571428571427,
0.2214285714285714,
0.07142857142857142,
0.10476190476190475,
0.13095238095238093,
0.10476190476190475,
0.075,
0.10119047619047619,
0.05714285714285714,
0.11666666666666667,
0.1226190476190476,
0.14880952380952378,
0.10476190476190475,
0.18809523809523807,
0.13452380... | 0.985701 | [
1.5489096155455726,
1.0175858864355742,
0.9581451631909756,
2.3963414080434915,
1.8628865254243216,
1.2279443687589389,
1.566690143893872,
2.5949338100236106,
2.005384757606745,
0.1655162597586859,
2.156473603079691,
1.5975900571366313,
0.2125883092128506,
0.3768990468894572,
-0.10905312... | {
"n_parameters": 48,
"n_qubits": 12,
"optimal_eigenvalue": -2.683333333333333,
"target_ratio": 0.97,
"target_value": -2.602833333333333
} | 1 |
1c5d1381d8045df60eb241fe502287d3 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": ... | {"states": [0, 135], "expectation_value": -29.422947868930496, "params": [0.0, 1.2415, -0.0, 1.2812000000000001, -0.0026000000000000003, 1.5463, -0.0002, 0.7201000000000001, -0.1854, 1.0727, 0.0892, 0.4046, 0.545, -0.4849, 0.0956, -0.20600000000000002, 0.0009000000000000001, 1.5125000000000002, 0.0013000000000000002, 0... | -3.0 * (Z(0) @ Z(1)) + 1.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -3.5 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -2.0... | 6 | 10 | 2 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.0, "smallest_bitstrings": ["1101111000"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-pi) q[0];
ry(-0.0469402290191681) q[0];
ry(-0.006734321659309033) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(-0.06717540740365421) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5827175563940483) q[5];
cx q[5], q[0];
ry(0.04464761442408521) q[0];
cx q[5], q[0];
ry(-0.00116391938367... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IZZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ"... | [
-3,
1.5,
-3,
-2.5,
0.5,
-3.5,
1.5,
-3,
0.5,
1,
1,
-2.5,
-2.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-3,
-2.5,
-2.5,
1,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5
] | 0.966229 | [
-1.581858588435739,
-1.5827175563940483,
-1.5730889413899798,
-0.08929522884817041,
-1.567012916357841,
-0.0023278387673489167,
-0.0034155684297446313,
0.003948709747273392,
1.4634202878432003,
-0.009746326494580364,
0.00997636903925454,
0.008727371946632615,
1.5676188468578816,
1.21256185... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -32,
"target_ratio": 0.97,
"target_value": -31.04
} | 500 |
3faef1a5df020f8431fc90052a883282 | 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": [2596, 2604], "expectation_value": -108.51675928269978, "params": [[0.791, 0.0912, 0.7915000000000001, 0.0053, -0.0016, -0.0346, 0.7939, 0.08080000000000001, 0.2743, 0.8555, 0.0333, 0.0046], [0.785, -0.0901, 0.7841, -0.0045000000000000005, 0.003, -0.0236, 0.7827000000000001, -0.10700000000000001, 0.907, 0.89... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(6)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(10) @ Z(9)) + 8.0 * (Z(11) @ Z(8)) + 13.5 * Z(2) + 2.0 * Z(1) + 5.5 * Z(0) + -5.0 * Z(3) + 7.5 * Z(6) + -7.0 * Z(4) + -5.0 * Z(5) + 8.0... | 10 | 12 | 3 | {"smallest_eigenvalues": [-129.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -122.5, "smallest_bitstrings": ["010111010011"], "largest_eigenvalue": 110.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.5889675428606438) q[0];
ry(0.0948907646078899) q[1];
ry(0.8691174138249954) q[2];
ry(-0.16039117242109044) q[3];
ry(-0.1762999232453266) q[4];
ry(-0.09867669618194079) q[5];
ry(0.8411993447269268) q[6];
ry(0.1119471543401559) q[7];
ry(0.36852402814109836) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IIZIZIIIIIII",
"IZZIIIIIIIII",
"ZIIZIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIZIII",
"IIIIIZIIIIII",
"IIIIIIIZIIII",
"IIIIIIZIIIII",
"IIIZIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
13.5,
2,
5.5,
-5,
7.5,
-7,
-5,
8,
3,
9,
-6,
-4
] | 0.970098 | [
0.5889675428606438,
0.0948907646078899,
0.8691174138249954,
-0.16039117242109044,
-0.1762999232453266,
-0.09867669618194079,
0.8411993447269268,
0.1119471543401559,
0.36852402814109836,
1.15727683181407,
0.07844795318401318,
0.052981437064914025,
1.024320517250032,
0.01922361442974266,
0... | {
"n_parameters": 48,
"n_qubits": 12,
"optimal_eigenvalue": -129.5,
"target_ratio": 0.97,
"target_value": -125.615
} | 8 |
73234867a8d73902463f648150631001 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 5, "source": 2, "target": 1... | {"states": [3, 63], "expectation_value": -0.015293820214198305, "params": [[0.0057, -0.0012000000000000001, -0.001, 0.0043, 0.0076, 0.0009000000000000001, -0.0006000000000000001], [0.030500000000000003, 0.0089, 0.1015, 0.0045000000000000005, 0.0926, 0.0012000000000000001, 0.0367], [-0.028200000000000003, 0.006800000000... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -1.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -2.5 * Z(6) + 1.75 * Z(2) + 2.0 ... | 9 | 7 | 3 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.09719419956319378) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.6989836249551739) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[2];
rz(-0.06470448402436971) q[2];
cx q[1], q[2];
rz(0.6633440307529... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"ZIIIIZI",
"ZIIIIIZ",
"IIIIZZI",
"ZIIIZII",
"ZIIZIII",
"IIIZZII",
"IIZIZII",
"ZZIIIII",
"IZIZIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
-1,
0.5,
-1.25,
-0.25,
-1.25,
-1.5,
-1.25,
-0.5,
-0.75,
-0.75,
-0.5,
-0.25,
-2.5,
1.75,
2,
0.5,
-1
] | 0.898383 | [
-0.09719419956319378,
0.6989836249551739,
0.9270975937150174,
-0.06470448402436971,
0.08956044328374929,
0.663344030752968,
0.01750334737436496,
-4.564173153836214,
2.1872018918678604,
0.9714600095726166,
1.1411583059189332,
-0.16415140025758682,
1.7339458795436893,
0.6659884089974357,
0... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 500 |
6913e77a092e6b8e92c97148a6d379f5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [4, 37], "expectation_value": -1.997407755892222, "params": [[[1.6099, -0.11460000000000001], [-0.05, -0.1202], [1.3385, -0.156], [1.6035000000000001, 0.0195], [0.39530000000000004, 0.2142], [1.1106, -1.1244]]], "bitstrings": ["111011", "011010"], "total_optimization_steps": 160, "probabilities": [0.15908809... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 15 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010", "011010", "010110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.062346765897915706) q[0];
rz(-0.07861393323966848) q[0];
rx(2.8930871888684693) q[1];
rz(-0.5035763423869778) q[1];
rx(3.065918378176062) q[2];
rz(-0.12390964307312333) q[2];
rx(0.1645274144132281) q[3];
rz(-0.4200180781615156) q[3];
rx(3.3932273417708734) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
ry(x0) q[0];
ry(x1... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IZIIZI",
"IZIZII",
"IIZZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-1.5,
-0.5,
0
] | 0.981137 | [
0.06234676589791571,
0.05049997120834073,
2.8930871888684693,
-0.5035763423869778,
3.065918378176062,
-0.12390964307312333,
0.1645274144132281,
-0.4200180781615156,
3.3932273417708734,
0.5128971855755327,
0.717543276190233,
0.1258080823171311,
0.5432549077788699,
-0.25822780889601854,
0.... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 19 |
38980211450f7282c15e0ab435ff2cd6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [62, 1], "expectation_value": -0.5315712596905402, "params": [[0.0695, 0.0679], [-0.07730000000000001, -0.0661]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.02205992688490132, 0.026598343809186006], "optimization_time": 2.5636556148529053} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(3) + 1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.18057532849171046) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.18057532849171046) q[3];
cx q[2], q[3];
h q[4];
cx q[0], q[4];
rz(0.15240128173497133) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(0.4649246212783777) q[1];
cx q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIIIZ",
"IZIIZI",
"IIZZII",
"IZZIII",
"IIZIZI",
"ZIIZII",
"ZIIIIZ",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIZIII",
"ZIIIII"
] | [
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-1,
-0.25,
1.25,
0.25,
-0.25,
0,
-0.5,
-0.5,
1
] | 0.970699 | [
0.18057532849171046,
0.15240128173497133,
0.4649246212783777,
-0.16816126659960623,
-0.38958804491802196,
0.6933538979276795,
0.5762777327646811,
-0.6736008592295458,
1.3898734088318323,
0.35834720452177266,
0.2611471404449328,
0.6354636015951395,
-0.12256652965784247,
-0.6716227081292513,... | {
"n_parameters": 25,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 144 |
1909115557766259076 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 3, 6], [0, 3, 4, 5, 6], [0, 2, 5, 6], [1, 4], [0, 1]]} | {"states": [94, 93], "expectation_value": -0.7038777819557989, "params": [[-0.4873], [0.41450000000000004]], "bitstrings": ["0100001", "0100010"], "total_optimization_steps": 50, "probabilities": [0.02463028973156383, 0.02465511531669149], "optimization_time": 11.107454299926758} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(3)) + 0.1333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.6999999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6166666666666667, "smallest_bitstrings": ["0100010"], "largest_eigenvalue": 4.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.4966477432310341) q[0];
h q[1];
ry(-0.25528873851790745) q[1];
h q[2];
ry(0.24326890696840286) q[2];
ry(-1.8646346338841813) q[3];
rz(-pi) q[3];
h q[4];
cx q[4], q[1];
ry(0.25528873851790745) q[1];
cx q[4], q[1];
ry(-0.21900450241666977) q[1];
cx q[0], q[1]... | 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];... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIIZZII",
"IIIZIZI",
"ZIIIZII",
"ZIIIIZI",
"ZIIZIII",
"IIIIZIZ",
"IIIIIZZ",
"IIIZIIZ",
"ZIIIIIZ",
"IIZIIZI",
"IIZZIII",
"ZIZIIII",
"IIZIIIZ",
"IZIIZII",
"IZIZIII",
"ZZIIIII",
"IZIIIIZ",
"IZZIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIIIIIZ",
"IIZ... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.13333333333333333,
0.08333333333333333,
0.5,
0.05,
0.13333333333333333,
0.5,
0.05,
0.05,
0.05,
0.08333333333333333,
0.05,
0.13333333333333333,
0.13333333333333333,
0.05,
0... | 0.971563 | [
1.2586729570479458,
-0.5105774770358149,
1.4966477432310341,
-0.43800900483333954,
0.9752039569532007,
-0.3672792248522778,
0.2564469457247138,
0.38842250397376477,
-0.23532771832097277,
0.48653781393680573,
-0.5235982392617494,
0.5347192837125103,
-0.6546227597084581,
0.3504696852600821,
... | {
"n_parameters": 34,
"n_qubits": 7,
"optimal_eigenvalue": -1.6999999999999997,
"target_ratio": 0.97,
"target_value": -1.6489999999999998
} | 6 |
e543ef7ed69757cb61258022eb86ed78 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [68, 56], "expectation_value": -2.8532264479765423, "params": [[-0.1759, -0.1683], [0.1769, 0.1676]], "bitstrings": ["0111011", "1000111"], "total_optimization_steps": 20, "probabilities": [0.030803260546273477, 0.03118559257305855], "optimization_time": 3.5427329540252686} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(5) + -1.5 * Z(6) + -1.0 * Z(... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010101", "1010110", "1000111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.052185128703478426) q[0];
cx q[1], q[0];
rz(1.046584799192459) q[1];
rx(-1.613196828974346) q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.052185128703478426) q[3];
cx q[0], q[3];
h q[4];
cx q[3], q[4];
rz(0.052185128703478426) 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] 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];... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IZIIZII",
"ZIIIZII",
"IIZZIII",
"IZZIIII",
"ZIZIIII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-0.5,
-1.5,
-1.5,
-1,
-1.5
] | 0.971829 | [
0.052185128703478426,
1.0465847991924586,
-1.5706449106624083,
1.423283186832915,
1.1795112473426732,
-1.6131968289743461
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 28 |
-5903830051335657599 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 6], [3, 7], [2, 3], [1, 3, 4], [3, 6], [0, 1, 3], [0, 5, 6], [1, 3, 5], [4, 5], [1, 2, 5], [0, 1, 6]]} | {"states": [148, 107], "expectation_value": -0.06055098466961688, "params": [[-0.047], [0.0536]], "bitstrings": ["01101011", "10010100"], "total_optimization_steps": 10, "probabilities": [0.004149962706163855, 0.004165340366447208], "optimization_time": 2.4908699989318848} | 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.166... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334, -3.333333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["00010100", "10010100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.5764804491305426) q[0];
h q[1];
ry(1.1513366756084322) q[1];
h q[2];
ry(0.5225852204386415) q[2];
h q[3];
ry(-0.2863488853112691) q[3];
h q[4];
h q[5];
ry(-0.4551124711265876) q[5];
cx q[4], q[5];
ry(0.4551124711265876) q[5];
cx q[4], q[5];
ry(-0.3837166100... | 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[6]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IIIZZIII",
"IIIIZIIZ",
"IZIIZIII",
"ZIIIZIII",
"IIIIZZII",
"IIIZIIZI",
"IIIIIIZZ",
"IZIIIIZI",
"IIIIZIZI",
"IIIIIZZI",
"IIZZIIII",
"IIZIIIIZ",
"IZZIIIII",
"IIZIZIII",
"IIZIIZII",
"IIZIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIZII... | [
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
... | 0.970331 | [
1.1513366756084322,
1.5764804491305426,
-0.5726977706225382,
1.5148769913597147,
-0.2010257835233621,
1.045170440877283,
1.344961364168834,
-0.591046516546527,
-0.9102249422531752,
0.6071013316188874,
-0.7674332201934873,
0.3650101599890121,
-0.6381251849643713,
0.30566644203048476,
0.22... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -3.333333333333334,
"target_ratio": 0.97,
"target_value": -3.233333333333334
} | 35 |
7f5a9dfb1e236bee4145d5b6dc87f612 | 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": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [74, 91], "expectation_value": -6.1406295786935745, "params": null, "bitstrings": ["10110101", "10100100"], "total_optimization_steps": 63, "probabilities": [0.10520568084598521, 0.7250061271220744], "optimization_time": 79.31920528411865} | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(0) @ Z(5)) + -1.0 * (Z(0) @ Z(6)) + -0.5 * Z(1) + 1.5 * Z(5) + -0.5 * Z(2) + 3.0 * Z(6) + 0.5 * Z(3) + 0.0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10100100", "11000100"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.757060425932339) q[0];
h q[1];
ry(0.5571476883083074) q[1];
h q[2];
ry(-0.7757331894833571) q[2];
h q[3];
ry(0.5571476883083074) q[3];
h q[4];
h q[5];
cx q[5], q[1];
ry(-0.5571476883083074) q[1];
cx q[5], q[1];
ry(-0.45153744158202225) q[5];
h q[6];
ry(1.5... | null | {"source": 0, "sink": 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(1.5709) 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[... | [
"IIZIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIIIZII",
"ZIIIZIII",
"IIIZZIII",
"ZIIZIIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIIZ"
] | [
-0.5,
0.5,
-0.5,
-1,
2,
-1,
-0.5,
0.5,
-0.5,
-0.5,
-1,
-0.5,
1.5,
-0.5,
3,
0.5,
0,
0.5,
-1.5
] | 0.970262 | [
1.551025847539175,
1.1142953766166148,
-1.514120851864678,
-0.9030748831640445,
1.0604963305167354,
1.1320609964259831,
0.4832606820012933,
-1.2695992048912437,
-1.5514663789667142,
0.7560951237958784,
0.6790527832433262,
0.2954535073205394,
0.22125758791669647,
-0.13766859132785303,
-0.... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 9 |
8271845911613829232 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[2, 5, 7], [9, 10], [8, 7], [8, 3], [10, 6], [0, 3, 5], [1, 2], [4, 5]]} | {"states": [442, 698], "expectation_value": -3.462594836436398, "params": [-0.6940000000000001, 0.0019, 3.1445000000000003, 0.21930000000000002, -0.2194, -0.5377000000000001, 3.1396, -0.0001, 2.5563000000000002, -0.0026000000000000003, 2.8879, 0.0008, 2.9986, 0.0022, 3.1398, -0.35750000000000004, -0.0026000000000000003... | 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(10)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.... | 4 | 11 | 1 | {"smallest_eigenvalues": [-3.666666666666666, -3.666666666666666, -3.666666666666666, -3.666666666666666, -3.666666666666666, -3.666666666666666], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["01011011010", "01011001001", "10101000101", "01000110110", "0100010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-1.0991590244797935) q[0];
rz(1.5794764930424385) q[0];
rx(-3.0343818432872753) q[1];
rz(1.6480639797670298) q[1];
rx(-0.4959158861067464) q[2];
rz(1.193878833850956) q[2];
rx(3.1130428910105215) q[3];
rz(1.623468303559119) q[3];
rx(2.502530978678848) q[4];
rz(1.599... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIZIIZII",
"IIIZIZIIIII",
"IIIZIIIIZII",
"ZZIIIIIIIII",
"IIZZIIIIIII",
"IIIIIZIZIII",
"IIZIIIIZIII",
"ZIIIZIIIIII",
"IIIIIZIIIIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIZZIIII",
"IIIIIZIIIII",
"IIIIIIIIZII",
"IIIZIIIIIII",
"ZIIIIIIIIII",
"IZIIIIIIIII",
"IIZIIIIIIII",
"IIIIIIIZI... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.33333333333333326,
0.16666666666666663,
0.16666666666666663,
0,
0,
0,
0.16666666666666663,
0,
0.16666666666666666,
0... | 0.97208 | [
-1.0991590244797937,
0.008680166247542795,
3.2488034638923113,
0.07726765297213357,
-0.4959158861067464,
-0.37691749294394095,
3.1130428910105215,
0.0526719767642227,
2.502530978678848,
0.028407524208323293,
2.913586982984136,
-0.051439847544784895,
2.7437108258226734,
-0.10685875822755281... | {
"n_parameters": 30,
"n_qubits": 11,
"optimal_eigenvalue": -3.666666666666666,
"target_ratio": 0.97,
"target_value": -3.556666666666666
} | 5 |
ba516fd0ce7824e6228356c5f232cfab | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [1, 3], "expectation_value": -25.273646155631724, "params": [[[0.16160000000000002, 0.2185], [0.14780000000000001, -0.22080000000000002], [0.0135, 0.2816], [0.012700000000000001, -0.2816], [0.1683, 0.2225], [0.5933, 0.0007], [0.5932000000000001, -0.0004]], [[0.1565, 0.21830000000000002], [0.1444, 0.2204], [0... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.16804737694979255) q[0];
rz(0.2082288294493435) q[0];
rx(0.15075704403065596) q[1];
rz(0.3081286351501191) q[1];
rx(-0.015577567956415184) q[2];
rz(0.2761028885907031) q[2];
rx(0.051898684280336976) q[3];
rz(0.6464979825533907) q[3];
rx(-0.06236402491160774) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
2.75,
3,
3,
3,
2.75,
2.75,
3,
3,
-10,
-10,
-10.5,
-10.5,
-10,
-9.5,
-9.5
] | 0.970246 | [
0.16804737694979255,
0.12269839746206923,
0.15075704403065598,
0.3741847015101376,
-0.015577567956415184,
0.3742638042105089,
0.051898684280336976,
0.5257644350645199,
-0.06236402491160774,
0.18361076482660355,
0.4922950906627197,
0.16963751239899966,
0.68348045398206,
0.11277220593759216,... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 6 |
ad7ba83290870f78ee39f06faaa6d5c0 | 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": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [125, 127], "expectation_value": -0.19484919766336448, "params": [[0.0668], [-0.0524]], "bitstrings": ["10000010", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0045641024580703755, 0.004594972471173351], "optimization_time": 2.386323928833008} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(6)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000", "10000010", "10000110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.034844011332879614) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(-0.034844011332879614) q[4];
cx q[0], q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(0.021220240325448322) q[7];
cx q[3], q[7];
cx q[0], q[7];
cx q[3... | 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZIZI",
"IIIZIIZI",
"ZIIIIIZI",
"IIIIZZII",
"ZIIIIZII",
"IIIIIZZI",
"IIZIZIII",
"IIZIIZII",
"IZZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.25,
-0.25,
-0.75,
0.75,
-0.5,
-0.5,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
-0.75,
-0.75,
-0.25,
1.25,
-0.25,
0,
-1,
1,
0.5,
-1.25,
-0.25
] | 0.970653 | [
-0.034844011332879614,
0.021220240325448322,
4.14081704613734,
-0.02836829097701573,
0.9928839988256033,
-0.7241766421867887,
-0.8495874140952102,
-0.37261573279980825,
-0.7361582307300965,
-0.4162496087713253,
1.820243699490485,
-0.0028210601597248794,
-0.22590816858116236,
0.543504316292... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 461 |
-2368963512029151782 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [0, 1], [0, 3], [1, 3]]} | {"states": [9, 10], "expectation_value": -0.011627276729379368, "params": [[-0.0383], [0.0381]], "bitstrings": ["0110", "0101"], "total_optimization_steps": 10, "probabilities": [0.06322948868224504, 0.06322948868224504], "optimization_time": 0.3282616138458252} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0, -1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": 0.0, "smallest_bitstrings": ["1110", "1010", "1001", "0110", "0101", "0001"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.6529091786096665) q[2];
cx q[3], q[2];
rz(-1.1279139400244276e-08) q[2];
rx(0.6586486778999602) q[2];
cx q[3], q[0];
rz(-0.6529091786096665) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.6529091786096665) q[1];
cx q[3], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[... | null | {"circuits": [], "gradients": []} | [
"ZZII",
"ZIIZ",
"ZIZI",
"IIZZ",
"ZIII",
"IZII",
"IIIZ",
"IIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.713495 | [
-0.6529091786096665,
-1.127913989448706e-8,
0.6586486778999603
] | {
"n_parameters": 3,
"n_qubits": 4,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 93 |
39cc9c4f755324c5b5e65a794333a058 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [58965, 42581], "expectation_value": -0.008850876875700762, "params": [1.6039, 0.0001, 1.5469000000000002, 0.006200000000000001, 1.6372, 0.0099, 1.4832, 0.0016, 1.4998, 0.0049, 1.6205, 0.0007, 1.6374000000000002, 0.0029000000000000002, 1.4799, 0.0066, 1.4965000000000002, 0.0067, 1.6291, 0.004200000000000001,... | 0.25 * (Z(0) @ Z(1)) + -0.0011718750000000002 * (Z(2) @ Z(0)) + -0.0011718750000000002 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000390625 * (Z(4) @ Z(0)) + 0.000390625 * (Z(4) @ Z(2)) + 0.000390625 * (Z(5) @ Z(1)) + 0.000390625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0009765625 * (Z(6) @ Z(0)) + -0.0009765625 * (... | 3 | 16 | 1 | {"smallest_eigenvalues": [-2.021874999999967], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021874999999942, "smallest_bitstrings": ["0101100110101010"], "largest_eigenvalue": 2.017578124999964} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(-3.0643612484561555) q[0];
rz(-1.1959162924291569) q[0];
rx(0.07820040081106856) q[1];
rz(0.11372760631230205) q[1];
rx(3.0604664354964335) q[2];
rz(-1.186557183050084) q[2];
rx(0.01993652762572683) q[3];
rz(-0.3862798082036578) q[3];
rx(0.16436469595105285) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0011718750000000002,
-0.0011718750000000002,
0.25,
0.000390625,
0.000390625,
0.000390625,
0.000390625,
0.25,
-0.0009765625,
-0.0009765625,
-0.0009765625,
-0.0009765625,
-0.0009765625,
-0.0009765625,
0.25,
0.0001953125,
0.0001953125,
0.0001953125,
0.00029296875000000004... | 0.978311 | [
3.218824058723431,
-0.8493894038514929,
0.07820040081106856,
0.44541111478902684,
3.0604664354964335,
-0.416836531206233,
0.019936527625726827,
-0.17786154260054135,
0.1643646959510529,
-3.0643205972157634,
3.207855018166434,
-2.7101877554036853,
3.5142774849156004,
1.027117206017268,
-0... | {
"n_parameters": 44,
"n_qubits": 16,
"optimal_eigenvalue": -2.021874999999967,
"target_ratio": 0.97,
"target_value": -1.9612187499999678
} | 83 |
d64cdfb0330688360d8e7e9aacc7d340 | 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": 3}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 1, "ta... | {"states": [430, 236], "expectation_value": -24.44400414041536, "params": [[0.0378, 0.0054, -0.0126, 0.0152], [-0.0724, -0.05, -0.0356, -0.038]], "bitstrings": ["001010001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.009426958771875403, 0.010989607327010244], "optimization_time": 7.40167307853698... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 12.0 * Z(1) + 9.5 * Z(0) + 15.0 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 144.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.10233588057642375) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.10233588057642375) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.10233588057642375) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.10233588057642375) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
12,
9.5,
15,
5.5,
6,
16,
13,
5,
3.5
] | 0.970148 | [
-0.10233588057642375,
-1.972954297576704,
-2.3850419836234593,
-1.297796695472286,
-0.8416997263869539,
1.0253532726422685,
-0.7924832909763568,
-0.384709670388384,
0.4953370609194741,
0.9148457820585352,
0.0481164808355527,
0.10362743334425072,
0.42933531128712676,
-1.5105622714494802,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -69,
"target_ratio": 0.97,
"target_value": -66.92999999999999
} | 81 |
-6792928542543191383 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 4, 5, 6, 7, 9, 10], [0, 2, 5, 6, 7, 8, 9, 10, 11], [0, 1, 2, 4, 7, 8, 10, 11], [1, 2, 5, 6, 11], [2, 3, 4, 5, 6, 9, 10], [1, 3, 4], [0, 3, 5, 6, 7, 8]]} | {"states": [1722, 1786], "expectation_value": -1.0962369350967662, "params": [[[1.2853, -0.4904, 0.007, 0.006500000000000001], [0.5941000000000001, -0.4904, 0.2842, 0.0006000000000000001], [1.2993000000000001, 0.0053, 1.296, 0.0092], [1.2968, 0.0016, 1.2944, 0.0083], [1.2921, 0.0337, 1.2847, 0.004], [0.8193, -0.3795, 0... | 0.21428571428571427 * (Z(3) @ Z(4)) + 0.047619047619047616 * (Z(5) @ Z(4)) + 0.08095238095238094 * (Z(5) @ Z(3)) + 0.047619047619047616 * (Z(6) @ Z(4)) + 0.08095238095238094 * (Z(6) @ Z(3)) + 0.14484126984126983 * (Z(6) @ Z(5)) + 0.041666666666666664 * (Z(7) @ Z(4)) + 0.05714285714285714 * (Z(7) @ Z(3)) + 0.07103174603... | 11 | 12 | 1 | {"smallest_eigenvalues": [-1.4595238095238101, -1.4595238095238101], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.4595238095238097, "smallest_bitstrings": ["100100000101", "000100001101"], "largest_eigenvalue": 7.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.6284670163631433) q[0];
rz(-0.5597157889595056) q[0];
ry(-0.1564480052879756) q[1];
rz(-0.5597157889595056) q[1];
cx q[1], q[0];
ry(0.001903861984932656) q[1];
rz(-0.6100139661048113) q[1];
ry(1.6127709417971308) q[2];
rz(0.24419832703937694) q[2];
ry(1.4686613150... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIZIIII",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IIIIZIIZIIII",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIZIIIIZIIII",
"IIZIIIIIZIII",
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIZIZIIIIIII",
"IZIIIIIZIIII",
"IZIIIIIIZIII",
"IZIIIIZII... | [
0.21428571428571427,
0.047619047619047616,
0.08095238095238094,
0.047619047619047616,
0.08095238095238094,
0.14484126984126983,
0.041666666666666664,
0.05714285714285714,
0.07103174603174603,
0.07103174603174603,
0.047619047619047616,
0.047619047619047616,
0.061507936507936505,
0.061507936... | 0.972057 | [
0.6284670163631433,
-0.5597157889595056,
-0.1564480052879756,
1.6127709417971308,
0.24419832703937694,
1.4686613150209478,
-0.17771540930679697,
1.4839054157364726,
-0.3568618895695988,
-0.193230075134326,
-0.15206310555931907,
1.6706576340740478,
-0.10640448971930623,
-0.0753068328552707,... | {
"n_parameters": 41,
"n_qubits": 12,
"optimal_eigenvalue": -1.4595238095238101,
"target_ratio": 0.97,
"target_value": -1.4157380952380958
} | 30 |
7c13ad0365481b8f4c94fe0692e944b8 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [107, 99], "expectation_value": -2.747752989114873, "params": [0.0026000000000000003, 0.0021000000000000003, 0.6951, 0.6961, 0.6936, 0.6963, -0.0238, -0.0228, 0.3116, 0.3448, -0.005200000000000001, 0.0002, 0.7033, 0.6947, 0.6803, 0.6466000000000001, -0.006900000000000001, -0.0002, 0.6925, 0.6906, 0.6995, 0.6... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (... | 14 | 8 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.25, "smallest_bitstrings": ["01010110", "10010101", "10100101", "10001101", "11010100", "10011100"], "largest_eigenvalue": 6.75} | 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];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.5707962879127242) q[0];
h q[0];
rx(1.1096276484305554e-07) q[1];
h q[1];
rx(0.2818339182180038) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIZZZII",
"IIZIIZII",
"IZIIIZII",
"IZZIIIII",
"IZZIIZII",
"ZIIIZIII",
"IZIIIIIZ",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.25,
0,
-0.25,
0,
-0.75,
-0.25,
-0.25
] | 0.153846 | [
1.5707962879127242,
1.1096276484305554e-7,
0.2818339182180038,
0.29522327631042783,
1.57079626082328,
-0.35558512854723284,
-0.3488988066315334,
1.570796359971608,
-0.01470265159093928,
-0.2818338345430893,
-1.5707961662067849,
-0.2698570203604268,
0.6860075752835871,
0.4982873472655991,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 394 |
b8aaab24da0004c3e40ded7e0da30763 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [0, 1], "expectation_value": -5.638605031410025, "params": [[[0.0033, 0.0001], [0.0023, 0.0067], [-0.0027, 0.0088], [0.0024000000000000002, 0.0006000000000000001], [0.0026000000000000003, 0.0002], [0.0026000000000000003, 0.0098], [1.6055000000000001, 0.0048000000000000004]]], "bitstrings": ["1111111", "11111... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.04755975372679777) q[0];
rz(-pi) q[1];
ry(-0.16357168903548214) q[1];
rz(-pi) q[2];
ry(-0.16357168903548214) q[2];
h q[3];
ry(-1.6848675864644589) q[3];
ry(-0.05392656744408793) q[4];
rz(-pi) q[4];
ry(-0.08761228669430021) q[5];
rz(-pi) q[5];
h q[6];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIIZ",
"IZIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
2.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
2
] | 0.995678 | [
1.5124481082497874,
-1.6848675864644589,
-1.7984235144880873,
-1.5128877401597436,
-1.43889529306715,
-0.15594893256731784,
0.05940740011829414,
0.13302301188552904,
0.12811099731541742
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
a38675d53d722227ef740a74a5426a27 | 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": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [112, 98], "expectation_value": -0.3885055309605792, "params": [[0.0097, 0.059300000000000005, 0.0753], [0.035, -0.0328, -0.057800000000000004]], "bitstrings": ["0001111", "0011101"], "total_optimization_steps": 10, "probabilities": [0.009689775161059186, 0.009689775161059191], "optimization_time": 3.8958718... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(6) + -1.5 * Z(4) + 0.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1010110", "1000111", "0001111", "1010101", "0011101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5141994421129809) q[0];
h q[1];
ry(1.390141942064535) q[1];
h q[2];
ry(-0.5141994421129809) q[2];
h q[3];
cx q[3], q[0];
ry(0.5141994421129809) q[0];
cx q[3], q[0];
ry(-0.6573848412878611) q[0];
ry(1.0688525533137359) q[3];
h q[4];
ry(-1.560193965859156) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIIIIZ",
"IIZZIII",
"IIZIIZI",
"ZIIIZII",
"IIZIZII",
"ZZIIIII",
"IZZIIII",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-1.5,
0,
-1,
-1
] | 0.99545 | [
-1.560193965859156,
-1.6256424106349383,
1.390141942064535,
-1.0283988842259617,
0.8351950134156189,
-0.46570245239628766,
0.4673150797962339,
-0.3833647777831469,
0.17942834723555207,
0.2603514411697678,
-0.015966545811498617,
-0.09901389533504207,
0.1486764616653704,
-0.04676080723319257... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
5043903666762505941 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2], [3, 5], [0, 4]]} | {"states": [41, 44], "expectation_value": -0.014058212444383147, "params": [[0.0604], [-0.046900000000000004]], "bitstrings": ["010110", "010011"], "total_optimization_steps": 10, "probabilities": [0.0160683555544239, 0.0160683555544239], "optimization_time": 2.2685582637786865} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * Z(1) + 0.16666666666666663 * Z(0) + 0.16666666666666666 * Z(2) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["100100", "100001", "010011", "001011", "010110", "001110"], ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.29054547109249873) q[1];
h q[2];
cx q[2], q[1];
ry(0.29054547109249873) q[1];
cx q[2], q[1];
h q[3];
ry(-0.4979423658375405) q[3];
h q[4];
ry(-0.4979423658375405) q[4];
cx q[0], q[4];
ry(0.4979423658375405) q[4];
cx q[0], q[4];
ry(1.348409255100492... | 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[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"ZIZIII",
"IZIIIZ",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666663,
0.16666666666666666,
0,
0,
0
] | 0.972373 | [
-0.995884731675081,
1.2175268336239502,
-0.7906950870086147,
0.8536673874717209,
0.26176484295308533,
-0.3438363219296446,
0.7067700119857723,
-0.4760679204351977,
-0.27911254851335776,
-0.5810909421849975,
0.0368743574672442,
-0.031924580609864465,
0.9070027593329743,
0.12242224322312453,... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -1.3333333333333333,
"target_ratio": 0.97,
"target_value": -1.2933333333333332
} | 13 |
118037051d4e064ed30ce81580caf956 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [255, 3], "expectation_value": -0.3589334622641985, "params": [[0.0729, 0.06620000000000001], [-0.0781, -0.0592]], "bitstrings": ["100000000", "111111100"], "total_optimization_steps": 10, "probabilities": [0.0029520448431412344, 0.0034337773579815913], "optimization_time": 3.603807210922241} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(7) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111111100"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.35423059686369135) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(-0.35423059686369135) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[2];
rz(-0.4605338850426425) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[9] c;
qubit[9] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IIZIZIIII",
"IIIZIIIZI",
"IIZZIIIII",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIZIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIZIII",
"... | [
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
1,
-0.25,
-0.5,
0.5,
-0.25,
-0.25,
-0.5,
-0.5,
0,
0.25,
0.25,
0.5
] | 0.636679 | [
-0.35423059686369135,
-0.4605338850426425,
0.5282199439181262,
0.4658687987128326,
0.08870843927991051,
0.46315182564164276,
-1.2916398330214331,
-0.4799638239930953,
-0.8971536052342277,
1.250974588504574,
0.7069071801825778,
0.3413040230787353,
-0.688751698856056
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 285 |
-5577041213901454525 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 1], [2, 3], [1, 2], [0, 2]]} | {"states": [5, 13], "expectation_value": -0.8831857405603301, "params": null, "bitstrings": ["1010", "0010"], "total_optimization_steps": 19, "probabilities": [0.34495084855655883, 0.4621328942827737], "optimization_time": 10.44399905204773} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0, -1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": 0.0, "smallest_bitstrings": ["1101", "1010", "1001", "0110", "0101", "0010"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.652909179350963) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.652909179350963) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-7.739465912592891e-08) q[1];
rx(0.6586486817675012) q[1];
rz(-0.652909179350963) q[2];
cx q[0], q[2];
rz(-7.7... | 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[1], 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... | [
"IIZZ",
"IZZI",
"IZIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.713495 | [
-0.652909179350963,
-7.739465926413462e-8,
0.6586486817675014
] | {
"n_parameters": 3,
"n_qubits": 4,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 88 |
4942168494650640276 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 5], [2, 5, 6], [8, 1, 6], [1, 4, 6], [8, 4, 5], [0, 2, 3, 4, 5], [2, 3, 4, 6, 7], [8, 0, 5], [1, 3, 6, 7], [2, 5, 7], [1, 2, 3, 7, 8], [0, 1, 2, 6]]} | {"states": [503, 467], "expectation_value": -1.949180072495682, "params": [1.2776, 0.15990000000000001, 1.1906, 0.0014, 1.278, 0.28900000000000003, 1.0158, 0.0053, 1.2807000000000002, 0.0898, 1.2271, 0.0004, 1.157, -0.1623, 1.1479000000000001, 0.0067, 1.2454, 0.1346, 1.2275, 0.0011, 1.082, 0.29860000000000003, 0.8911, ... | 0.25 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.3833333333333333 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.3833333333333333 * (Z(2) @ Z(5)) + 0.49999999999999994 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5... | 5 | 9 | 1 | {"smallest_eigenvalues": [-3.016666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.016666666666666, "smallest_bitstrings": ["000101100"], "largest_eigenvalue": 11.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.4333735508411896) q[0];
rz(0.1407663851627099) q[0];
rx(0.1207626791780394) q[1];
rz(0.5715842666287312) q[1];
rx(1.7063498200010683) q[2];
rz(0.05421718842524559) q[2];
rx(0.24334908616152143) q[3];
rz(-1.0298911652824811) q[3];
rx(1.2548643116050286) q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIIZII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZZIIIII",
"IIZIIIZII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIZZIIII",
"IIIIZIZII",
"IIZIZIIII",
"ZIIIZIIII",
"... | [
0.25,
0.16666666666666666,
0.3833333333333333,
0.13333333333333333,
0.13333333333333333,
0.3833333333333333,
0.49999999999999994,
0.08333333333333333,
0.16666666666666666,
0.3,
0.21666666666666667,
0.16666666666666666,
0.3333333333333333,
0.05,
0.16666666666666666,
0.16666666666666666,... | 0.987067 | [
1.4333735508411898,
0.1738644622506662,
0.12076267917803937,
0.228726321743675,
1.7063498200010685,
0.04800162686465109,
0.24334908616152143,
-0.8138761636949092,
1.2548643116050284,
-0.11341918129773272,
0.1250340976831239,
0.7125298866531617,
1.9923699215056343,
0.1715482456664356,
0.9... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -3.016666666666667,
"target_ratio": 0.97,
"target_value": -2.926166666666667
} | 62 |
dd0fd296e5cefa508578d0a4d77f60d2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, ... | {"states": [4011, 3755], "expectation_value": -1.8540816624244836, "params": [0.5951000000000001, 0.5984, 0.4212, 0.44920000000000004, 0.5897, 0.5982000000000001, 0.3673, 0.3766, 0.5922000000000001, 0.5924, 0.0838, 0.08800000000000001, 0.5913, 0.5978, 0.2214, 0.2051, 0.6012000000000001, 0.5996, 0.2006, 0.2034, 0.600300... | 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... | 14 | 12 | 2 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_sma... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.04076935764168316) q[0];
rz(-0.731447427739578) q[0];
ry(0.5754459869108984) q[1];
rz(-0.13588178538991647) q[1];
cz q[1], q[0];
ry(0.04158159894234759) q[0];
rz(-0.650787686328218) q[0];
ry(0.8397051713722968) q[1];
ry(-0.014154591062583577) q[2];
rz(-0.04076935... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIZIIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIZIZIZ",
"IIIIIIIZZIIZ",
"IIIIIIIIZZZI",
"IIIIIIIZI... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125... | 0.971168 | [
-0.04076935764168316,
-0.731447427739578,
0.5754459869108984,
-0.13588178538991647,
-0.014154591062583577,
1.6647853777365624,
0.0360647244302947,
-0.3987479606754137,
0.186324437403593,
0.610944299537157,
-0.05321255672610954,
-0.14895160169980046,
0.1953716337413735,
0.30972696112231635,... | {
"n_parameters": 126,
"n_qubits": 12,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 107 |
a2b703670d19247f6071de624d813f7d | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [987, 986], "expectation_value": -2.0523962422526307, "params": [0.38880000000000003, 0.3926, 1.1975, 1.1961000000000002, 0.9043, 0.9043, 1.2077, 1.1993, 0.9616, 0.9626, 0.0039000000000000003, -0.0007, 1.2058, 1.2011, 1.2024000000000001, 1.1974, 0.3889, 0.38180000000000003, 1.206, 1.2039, 0.7135, 0.7158, 0.3... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(3) @ Z(6... | 13 | 11 | 1 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.6875, "smallest_bitstrings": ["10000100011", "00110100100", "10000100110", "10000100101", "10000101100", "10000110010", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.13585782355247195) q[0];
rz(0.29864270240676144) q[0];
ry(0.4563168005262513) q[1];
rz(0.38243811920507753) q[1];
cx q[1], q[0];
ry(0.5176341854895177) q[0];
rz(-0.43373726839029036) q[0];
ry(0.7226319683581064) q[1];
rz(0.3157779697635044) q[1];
ry(0.545519599691... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIIZZIIZ",
"IIIIIIIZIZI",
"IIIIZIIIIZI",
"IIIZIIIIIZI",
"IIIIIZIIIZI",
"IIIIZIIZIII",
"IIIZIIIZIII",
"IIIIIZIZIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIIZIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
... | 0.970229 | [
0.13585782355247195,
0.29864270240676144,
0.4563168005262513,
0.38243811920507753,
0.545519599691342,
0.19833271922099288,
0.047629893253298736,
-0.6494667888063903,
0.8509917401973556,
0.07690407039138134,
0.3022796071558218,
0.36948672697092555,
-0.07852957412380208,
0.27113912634784293,... | {
"n_parameters": 118,
"n_qubits": 11,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 91 |
249741342773161377 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1], [1, 3], [0, 5], [2, 4], [3, 5], [1, 5], [1, 2]]} | {"states": [22, 19], "expectation_value": -1.199705084159223, "params": [1.0063, 0.6682, 0.5127, 0.0048000000000000004, 1.2962, 0.20500000000000002, 1.1972, 0.0022, 0.6543, -0.552, 0.35960000000000003, 0.0092, 1.0097, 0.6686000000000001, 0.5169, 0.0001, 1.3036, 0.049800000000000004, 1.2966, 0.0026000000000000003, 1.284... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 5 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "101100"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.14254077072784163) q[0];
rz(1.4698910838817332) q[0];
rx(2.2522320199077326) q[1];
rz(0.14223919146258002) q[1];
rx(0.14647619667228487) q[2];
rz(-0.8547000605139878) q[2];
rx(-0.09054991604233824) q[3];
rz(1.480259902305196) q[3];
rx(2.061676725412655) 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": []} | [
"IIIIZZ",
"IIZIZI",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.972637 | [
0.14254077072784163,
0.9982940003540091,
2.2522320199077326,
0.17255227973259685,
0.14647619667228487,
-0.42638163190984896,
-0.09054991604233825,
1.0258592607016228,
2.061676725412655,
0.07035175871534123,
3.0097640491008835,
0.6847141253556179,
0.07994849761839284,
0.9088012832071473,
... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 37 |
-1506213724955381510 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 5, 9], [0, 1], [8, 9, 6, 7], [1, 2, 4, 7], [5, 6], [9, 3], [3, 4, 6, 7], [8, 1, 4, 5], [9, 5, 1, 7], [8, 9, 4, 5], [8, 4, 7], [0, 9, 5, 7], [8, 2, 6], [9, 2, 4, 5]]} | {"states": [502, 470], "expectation_value": -2.512725377467414, "params": [0.3426, 0.10070000000000001, 0.3395, 0.0082, 1.1966, -0.0176, 1.1912, 0.027100000000000003, 1.1964000000000001, -0.009600000000000001, 1.1916, 0.0027, 1.2042000000000002, -0.0297, 1.0410000000000001, 0.0303, 0.7753, -0.23070000000000002, 0.78070... | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(9) @ Z(2)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.41666666666666663 * (Z(9) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(9)) + 0.1666666... | 8 | 10 | 1 | {"smallest_eigenvalues": [-4.000000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.916666666666665, "smallest_bitstrings": ["1000101001"], "largest_eigenvalue": 12.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.5312915387842095) q[0];
rz(1.581725101407204) q[0];
rx(1.397481230073285) q[1];
rz(0.052885827838332206) q[1];
cx q[1], q[0];
ry(0.647997119102193) q[0];
cx q[1], q[0];
ry(-0.5130843409906695) q[0];
rz(-1.4091248552112177) q[0];
rx(1.1318379840484556) q[1];
rz(1.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIZIIZII",
"IIIIZIIIZI",
"ZIIIIIIZII",
"ZIIIIIIIZI",
"ZIIIZIIIII",
"IIIIIIIIZZ",
"IIIIZIIIIZ",
"ZIIIIIIIIZ",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZIIZIIIII",
"ZZIIIIIIII",
"IIIZIIIZII",
"IIIZZIIIII",
"ZIIZIIIIII",
"IZIZIIIIII",
"IIZIIIIZII",
"IIZIIIIIZI",
"IIZIZIIIII"... | [
0.16666666666666666,
0.16666666666666666,
0.25,
0.16666666666666666,
0.16666666666666666,
0.41666666666666663,
0.5,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.0833333333333333... | 0.970249 | [
0.5312915387842095,
0.01092877461230734,
1.397481230073285,
0.052885827838332206,
1.5804525855921248,
-0.02944843160216217,
1.8484849571029207,
-0.060578673683592044,
-0.2971000523848656,
0.11120891407533173,
1.6375268006840389,
-0.08550874026982987,
0.3678968807702928,
-0.3213093113370275... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -4.000000000000001,
"target_ratio": 0.97,
"target_value": -3.880000000000001
} | 30 |
-951988965025821207 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[3, 5, 6], [9, 2, 10], [8, 10, 7], [1, 3, 4], [9, 5], [9, 3], [0, 9, 2], [8, 9], [2, 3, 7], [1, 10], [0, 3], [10, 5, 7], [2, 4], [8, 3, 6], [0, 4, 5], [10, 5, 6], [9, 2, 1], [8, 3, 4], [2, 5, 7], [10, 4], [8, 5, 6], [8, 1, 3], [0, 1, 7]]} | {"states": [978, 1490], "expectation_value": -6.620312756474967, "params": [0.9753000000000001, 0.9550000000000001, 2.9698, 0.8517, -1.8941000000000001, -0.8544, 1.5741, 1.5730000000000002, 1.1881000000000002, 1.9586000000000001, 0.0115, -0.0049, 1.6066, 1.5402, -0.0025, -0.0023, 0.27640000000000003, -0.240700000000000... | 0.16666666666666666 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(10) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(10)) + 0.3333333333333333 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.1... | 14 | 11 | 1 | {"smallest_eigenvalues": [-6.833333333333331], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.499999999999999, "smallest_bitstrings": ["01000101101"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.4987194899061604) q[0];
rz(pi/2) q[0];
ry(3.2190802397096796) q[1];
ry(-1.922003595388746) q[2];
ry(1.5595581363754079) q[3];
ry(1.0994613827967914) q[4];
ry(0.07723374837405286) q[5];
ry(1.5880383765339907) q[6];
ry(-0.04549599151685259) q[7];
ry(0.25125048845207... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIZIZIIII",
"IIIZZIIIIII",
"IIIZIIZIIII",
"ZIIIZIIIIII",
"ZIIIIIZIIII",
"IIIIZIIZIII",
"IIIIIIZZIII",
"ZIIIIIIZIII",
"IIIIZIIIZII",
"IIIZIIIIZII",
"ZIIIIIIIZII",
"IIIIIIIZZII",
"IZIIZIIIIII",
"IZIIIIZIIII",
"IZIZIIIIIII",
"ZZIIIIIIIII",
"IZIIIIIIZII",
"IIZIZIIIIII",
"IIZIIIZII... | [
0.16666666666666666,
0.5,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.... | 0.971404 | [
1.4987194899061604,
3.2190802397096796,
-1.922003595388746,
1.5595581363754079,
1.0994613827967914,
0.07723374837405286,
1.5880383765339907,
-0.04549599151685259,
0.2512504884520778,
1.719977410680125,
0.03643215807140348,
1.9401313804816855,
-0.01553459194612973,
1.2512807622871167,
3.3... | {
"n_parameters": 40,
"n_qubits": 11,
"optimal_eigenvalue": -6.833333333333331,
"target_ratio": 0.97,
"target_value": -6.628333333333331
} | 10 |
1864592720b05b8d956573b849e23700 | 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": 6, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 6}, {"weight": 2, "source": 2, "target": 3}, {"weight": 20, "source... | {"states": [218, 210], "expectation_value": -46.93884896306197, "params": [[[0.0034000000000000002, 0.6066], [0.7912, 0.0038], [0.7839, 0.0019], [-0.005200000000000001, -0.3985], [0.7935, 0.0029000000000000002], [0.365, 0.216], [0.0045000000000000005, -0.4338], [0.7871, 0.0002], [-0.0205, 0.38420000000000004]], [[0.001... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 2.0 * Z(1) +... | 1 | 9 | 4 | {"smallest_eigenvalues": [-52.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.5, "smallest_bitstrings": ["100101101"], "largest_eigenvalue": 75.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(2.2129090357950254) q[0];
ry(0.024715796711138882) q[0];
rz(-0.4109268208796646) q[0];
rz(-1.8024463517412617) q[1];
ry(3.080746184191271) q[1];
rz(1.171614686511071) q[1];
rz(-2.3863936565111104) q[2];
ry(2.961608986614027) q[2];
rz(0.6621180651256138) q[2];
rz(-2.1... | 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": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
2,
-8,
-5,
4,
1.5,
8.5,
-4,
3.5,
-3
] | 0.979611 | [
0.015313760243266722,
0.5472387456909172,
0.6139105138713153,
0.0063430058130072055,
0.7070224779960896,
0.1040275336856543,
-0.059828685699202994,
-0.34361006820596157,
0.799044986176745,
-0.06575191747966369,
0.03487516176225415,
0.43304386678410106,
-0.22477921914397708,
-0.481951186810... | {
"n_parameters": 56,
"n_qubits": 9,
"optimal_eigenvalue": -52.5,
"target_ratio": 0.97,
"target_value": -50.925
} | 11 |
97aa58ef0b431934bfaa14698e7612e3 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [18, 26], "expectation_value": -1.2567832574195534, "params": [0.30060000000000003, 0.0636, 0.2889, 0.0733, 0.4056, 0.0088, 0.40390000000000004, 0.0024000000000000002, 0.0016, -0.2884, 0.4015, 0.0002, 0.0036000000000000003, 0.30970000000000003, 0.30610000000000004, 0.06380000000000001, 0.2887, 0.0711, 0.4083... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(6) @ Z(3)) + 0... | 16 | 7 | 4 | {"smallest_eigenvalues": [-2.8125, -2.8125, -2.8125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.8125, "smallest_bitstrings": ["0101101", "1100101", "1000111"], "largest_eigenvalue": 5.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.0651359293991675) q[0];
rz(-pi) q[0];
ry(-2.9863728943382646) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-3.0966768290779063) q[2];
h q[3];
ry(1.416522520487516) q[3];
cx q[3], q[0];
ry(0.0756279699701927) q[0];
cx q[3], q[0];
ry(0.07903094769679948) q[3];
ry(-0.0588420... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IZIIIZI",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIZZIII",
"IZIZIII",
"ZIIZIII",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"IIZZZII",
"IZIZZII",
"ZIIZZII",
"IZZIZII",
"ZIZIZII",
"ZZIIZII",
"IZZZIII",
"ZIZZIII",
"ZZI... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
... | 0.993396 | [
-1.5356385769847074,
-1.4300324274255363,
1.4790868765185854,
1.416522520487516,
-0.1512559399403854,
-0.0018919058882961165,
0.15806189539359897,
0.27325054957639605,
0.06988879116685,
-0.1176840429531697,
-0.012299817357459168
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
2070221959557949909 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 5], [3, 5], [0, 1, 2], [2, 4]]} | {"states": [41, 28], "expectation_value": -0.01666684162432109, "params": [[0.053700000000000005], [-0.0446]], "bitstrings": ["010110", "100011"], "total_optimization_steps": 10, "probabilities": [0.016150775815025886, 0.01615100435838632], "optimization_time": 0.7351107597351074} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + 0.16666666666666663 * Z(1) + 0.0 * Z(3) + 0.16666666666666666 * Z(0) + 0.16666666666666663 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5, "smallest_bitstrings": ["010110", "100011", "001001"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(1.1186089398491745) q[1];
cx q[5], q[1];
cx q[1], q[0];
rz(0.27997445890646483) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.27997445890646483) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.279974458906465) q[1];
... | 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[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[1], q[0];
rz(x1) q[0];
cx q[1], q[0];
cx ... | null | {"circuits": [], "gradients": []} | [
"ZIIIZI",
"ZIZIII",
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIZII",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IIIIIZ",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0,
0.16666666666666663,
0,
0.16666666666666666,
0.16666666666666663,
0
] | 0.640448 | [
1.1186089398491745,
0.27997445890646483,
-0.10747595549729139,
-0.796073760673316
] | {
"n_parameters": 4,
"n_qubits": 6,
"optimal_eigenvalue": -1.8333333333333335,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 108 |
7fa6d926fed88692e1dac2092e1fc75e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1023, 127], "expectation_value": -47.082829052266234, "params": [[[-0.0027, 0.0092], [0.0024000000000000002, 0.0054], [-1.6265, 0.0088], [0.0025, 0.0077], [0.0024000000000000002, 0.0004], [0.0024000000000000002, 0.0085], [0.0024000000000000002, 0.0074], [0.0025, 0.0056], [0.0024000000000000002, 0.0031000000... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + -3.5 * (Z(5) @ Z(4)) + -3.5 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(4)) + -3.5 * (Z(6) @ Z(3)) + -3.5 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(6)) + 1.0 * (Z(9) @ Z(4)) + -3... | 2 | 10 | 1 | {"smallest_eigenvalues": [-48.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -45.5, "smallest_bitstrings": ["1110000000"], "largest_eigenvalue": 41.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1834639132406213) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.1834639132406213) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.08833711328509519) q[1];
rx(1.1161354120222897) q[1];
rz(1.1834639132406213) q[2];
cx q[0], q[2];
rz(0.3289... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZIZIIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIZIZIIIII",
"IIZZIIIIII",
"ZIIIIZIIII",
"ZIIIIIZIII",
"ZIIIZIIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"IZIIIZIIII",
"IZIIIIZIII"... | [
-2,
-2,
-2,
-3,
-3.5,
-3.5,
1,
-3.5,
-3.5,
1,
-3.5,
-3.5,
1.5,
1,
-3.5,
-3.5,
1.5,
-2.5,
0.5,
2,
-3.5,
-3,
-3,
-3,
-1.5,
1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.5722 | [
1.1834639132406213,
0.5935010737801663,
0.5319088476964644,
0.32230837455040784,
0.3289318936629122,
0.6572347504757033,
0.023556426999562466,
0.3924467981304847,
0.08833711328509473,
1.11613541202229
] | {
"n_parameters": 10,
"n_qubits": 10,
"optimal_eigenvalue": -48.5,
"target_ratio": 0.97,
"target_value": -47.045
} | 250 |
6842c95d9f8f8e6ed9a30462c7d1331d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 2, "source": 2, "target":... | {"states": [0, 1022], "expectation_value": -8.453814860521458, "params": [[[-0.0522, -0.0723], [-0.3257, 0.41750000000000004], [0.0008, 0.1985], [-0.0023, -0.0012000000000000001], [-0.0027, -0.0031000000000000003], [-0.0028, -0.0036000000000000003], [-0.0025, -0.0026000000000000003], [-0.0013000000000000002, -0.0025], ... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(4)) + -0.75 * (Z(9... | 15 | 11 | 3 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.25, "smallest_bitstrings": ["10000000001", "10000000101", "11000000001", "11000000101"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.021646581864943778) q[0];
ry(-0.31292083597860404) q[1];
ry(0.004853907484398156) q[2];
ry(-0.018508767036449096) q[3];
ry(0.000440286683361657) q[4];
ry(-0.0224094661005485) q[5];
ry(0.04703126007801338) q[6];
ry(-0.08817431597502833) q[7];
ry(0.0004402866833616... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] 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": []} | [
"IIIIIIIZIIZ",
"ZIIIIIIIIIZ",
"IIIIIIIZIZI",
"IIIIZIIZIII",
"IIIIIIZZIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IIIZIIIIIZI",
"IIIZIIZIIII",
"IIZIIZIIIII",
"IZIIIIIIIZI",
"IZIIIIZIIII",
"IZIIIZIIIII",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIIIIZIII",
"IIIIIIIIIIZ",
"ZIIIIIIII... | [
-0.25,
-0.25,
-0.5,
-1.25,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.75,
0.75,
-0.75,
0.25,
-0.25,
-0.25,
-1.25,
0,
0,
1.25,
1,
-0.5,
-0.25,
0
] | 0.970588 | [
-0.021646581864943778,
-0.31292083597860404,
0.004853907484398156,
-0.018508767036449096,
0.000440286683361657,
-0.0224094661005485,
0.04703126007801338,
-0.08817431597502833,
-0.18276149547769027,
-0.04780865640678236,
0.10746302571400808,
0.19213891164057278,
0.149001744393204,
-0.054933... | {
"n_parameters": 46,
"n_qubits": 11,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 38 |
4369661603586156002 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3, 6, 7], [1, 2, 5, 7, 8], [1, 3, 4, 5, 6, 7, 9], [0, 1, 2, 3, 4, 8], [2, 3, 5, 7, 9], [0, 1, 5, 6, 7]]} | {"states": [987, 985], "expectation_value": -1.0385135017012026, "params": [1.3858000000000001, 0.030000000000000002, 1.2231, 0.0035, 1.3764, 0.027200000000000002, 1.2529000000000001, 0.0094, 1.3401, 0.1076, 1.31, 0.0073, 1.3737000000000001, 0.0738, 1.1302, 0.008700000000000001, 1.0444, -0.26030000000000003, 1.0179, 0.... | 0.11666666666666667 * (Z(0) @ Z(3)) + 0.10714285714285714 * (Z(6) @ Z(3)) + 0.13333333333333333 * (Z(6) @ Z(0)) + 0.15714285714285714 * (Z(7) @ Z(3)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.15714285714285714 * (Z(7) @ Z(6)) + 0.05714285714285714 * (Z(1) @ Z(3)) + 0.08333333333333334 * (Z(1) @ Z(0)) + 0.07380952380952... | 5 | 10 | 1 | {"smallest_eigenvalues": [-1.2404761904761907, -1.2404761904761907, -1.2404761904761907, -1.2404761904761907], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.2404761904761903, "smallest_bitstrings": ["0000100110", "0001010010", "1000110000", "0010100100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.6131723577127797) q[0];
rz(0.2960872100434777) q[0];
rx(1.6665890797562324) q[1];
rz(0.48656517463139703) q[1];
rx(1.8853452269528677) q[2];
rz(0.39463040101646385) q[2];
rx(1.627523373952921) q[3];
rz(0.2513996485906431) q[3];
rx(0.6510718450229058) q[4];
rz(-0.9... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIZIIIZIII",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IIIIIIZZII",
"IIIIIIIZIZ",
"IIZIIIIZII",
"IIIIIIIZZI",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIZZIIIII",
"IIZIZIIIII",
"IIIIZIIIZI",
"IIIIZIIZII"... | [
0.11666666666666667,
0.10714285714285714,
0.13333333333333333,
0.15714285714285714,
0.13333333333333333,
0.15714285714285714,
0.05714285714285714,
0.08333333333333334,
0.07380952380952381,
0.12380952380952381,
0.08333333333333334,
0.03333333333333333,
0.1,
0.08333333333333334,
0.07380952... | 0.971054 | [
1.6131723577127797,
0.2722780705005011,
1.6665890797562326,
0.5059536132191619,
1.8853452269528677,
0.4078476329524021,
1.627523373952921,
0.2702263225219094,
0.6510718450229058,
-0.7299541241421079,
1.6727612715450917,
-0.10750279529586415,
1.4152201002853755,
-0.11706570726083082,
0.21... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -1.2404761904761907,
"target_ratio": 0.97,
"target_value": -1.203261904761905
} | 65 |
93141c357d164fcf2a36ba666f8f01e3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [8, 3], "expectation_value": -0.6216767818281533, "params": [[-0.0847, -0.0867, -0.079], [0.0791, 0.0806, 0.0753]], "bitstrings": ["0111", "1100"], "total_optimization_steps": 10, "probabilities": [0.08357689791348076, 0.10128297319042469], "optimization_time": 3.578810930252075} | 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)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["1100"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
afc1e6ae0489b407103909fb8184f531 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [54, 55], "expectation_value": -5.499906799238905, "params": null, "bitstrings": ["1001001", "1001000"], "total_optimization_steps": 33, "probabilities": [1.4544680906507273e-05, 0.9999210558397572], "optimization_time": 39.91138243675232} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(6) + -1.0 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.038206618307315275) q[0];
cx q[1], q[0];
rz(-0.7362373108468026) q[1];
rx(1.0232489118228707) q[1];
h q[2];
cx q[0], q[2];
rz(-0.038206618307315275) q[2];
cx q[0], q[2];
h q[3];
cx q[2], q[3];
rz(-0.038206618307315275) q[3];
cx q[2],... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZZII",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-2,
-0.5,
-0.5,
-0.5,
0,
-1
] | 0.976376 | [
-0.038206618307315275,
-0.7362373108468029,
1.3466984830280748,
-0.20470298095310765,
0.745958834784167,
1.0232489118228707,
0.03314743356154229,
-0.004753878321068591,
-1.315429486290217,
0.5768805783022085,
0.684831630544441,
-0.1613007339731846,
1.2439326691661319,
-0.09426819990905794,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 25 |
e9e1c3bad7671d416f508c960af260f6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [0, 1], "expectation_value": -4.843630614196209, "params": [0.013300000000000001, 0.0779, 0.3027, 0.0487, 0.0037, 0.2992, 0.0054, 0.21080000000000002, 0.0056, 0.1947, 0.0043, 0.22940000000000002, 0.3992, -0.0006000000000000001, -0.0049, 0.0597, 0.3014, 0.1501, 0.0009000000000000001, 0.3062, -0.00060000000000... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + 0.25 * Z(1) + -0.5 * Z(3) + 1.25 * Z(6) | 3 | 7 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.25, "smallest_bitstrings": ["1111110", "1011110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5744169391312657) q[0];
h q[1];
ry(-0.05753664395928477) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.024728804110098233) q[3];
ry(-0.05753664395928477) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5744169391312657) q[5];
h q[6];
ry(1.5912199140774594) q[6];
cx q[6], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"IZIZIII",
"IIIZZII",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
1.5,
0.25,
-0.25,
0,
-1,
0.25,
-0.5,
1.25
] | 0.999378 | [
1.5912199140774594,
-1.5744169391312657,
-1.485651063635235,
-1.5624441216083338,
-0.06616201859332208,
-0.05521723840075406
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 1 |
c0acbd012fdf8058193f775d048e653e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, ... | {"states": [108, 116], "expectation_value": -3.7906258113925295, "params": null, "bitstrings": ["0010011", "0001011"], "total_optimization_steps": 48, "probabilities": [0.0476910282024665, 0.8614511453473082], "optimization_time": 39.31340932846069} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -0.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.8704090545392154) q[0];
ry(2.848906190931529) q[0];
rz(-1.4206045684544053) q[0];
rz(-1.4735059078873218) q[1];
ry(2.8752923172762332) q[1];
rz(1.7333044230897094) q[1];
rz(1.275185488758538) q[2];
ry(0.3582851724053169) q[2];
rz(-2.1115115249935728) q[2];
rz(1.622... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIZZII",
"IZZIIII",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-0.5,
0,
0,
-0.5
] | 0.975242 | [
0.7535257276480238,
0.050672717359598066,
1.0582659924978115,
-0.015439424242000541,
0.23713823763746947,
-0.40516121944715133,
0.12741414932752448,
0.5030843814418191,
0.04464051864494524,
1.0245570245569755,
1.0997211195488625,
-0.03754432677860497,
-0.018429576886497965,
-0.418424010707... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 9 |
dd1ea2ee61722851179474867130abf8 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "... | {"states": [248, 4088], "expectation_value": -16.697277651072874, "params": [0.0027, 0.21660000000000001, 0.8948, 0.0009000000000000001, -0.0022, -0.2866, -0.9314, -0.004, -0.0018000000000000002, 0.2499, -1.058, 0.0014, 1.0953000000000002, 0.0086, -0.0031000000000000003, 0.6244000000000001, 3.035, 0.0, -0.0025, 0.0097,... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(10)) + -2.0 * (Z(11) @ Z(10)) + -2.0 * (Z(11) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 *... | 4 | 12 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000000111"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
ry(0.8678033057838501) q[1];
h q[2];
ry(0.15768528901504372) q[2];
cx q[0], q[2];
ry(-0.15768528901504372) q[2];
cx q[0], q[2];
ry(1.3920258601889957) q[0];
h q[3];
ry(0.8678033057838501) q[3];
cx q[2], q[3];
ry(-0.8678033057838501) 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[... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIIZZIIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIZIII",
"IIIIIIIIIZII",
"IIIIIIZIIIII",
"IIIIIIIZI... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
-1,
1,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.970048 | [
0.31537057803008745,
1.7356066115677002,
2.7840517203779913,
-1.673801589818186,
-1.4066420630205232,
3.772618526745687,
-0.07958173601447661,
1.5451378518628716,
0.07205754861967331,
1.5863365122132245,
3.5191008850442826,
2.8988101018583095,
-0.12396038140207942,
1.362697080264161,
3.2... | {
"n_parameters": 65,
"n_qubits": 12,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 426 |
66f75df6a73731ca3dfcd77bd9b8f9a8 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}]} | {"states": [127, 111], "expectation_value": -0.21349390371769372, "params": [[-0.0876], [0.0804]], "bitstrings": ["0000000", "0010000"], "total_optimization_steps": 10, "probabilities": [0.0097744179749754, 0.01005196508031946], "optimization_time": 1.1727688312530518} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + -0.5 * Z(2) | 5 | 7 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0010000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.5948060088334446) q[0];
rz(2.75476497416349) q[0];
rx(1.1536880317161984) q[1];
rz(-2.5506922440046464) q[1];
rx(-0.3980453346676857) q[2];
rz(2.6285697961866923) q[2];
rx(-2.1859488611686606) q[3];
rz(-3.0403900431441846) q[3];
rx(-1.6370190111416911) q[4];
rz(2.9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970969 | [
1.5948060088334446,
1.1839686473685938,
1.1536880317161984,
2.1616967363800432,
-0.39804533466768566,
1.0577734693917953,
-2.1859488611686606,
1.671998937240505,
-1.6370190111416911,
1.3936221263282822,
-0.3367839141949689,
0.20393829066176794,
-1.0278306138913633,
1.9705848592071784,
0.... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 212 |
1826494843409106846 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3], [1, 6], [3, 11], [3, 6], [8, 10], [1, 10], [1, 4], [10, 11], [2, 6], [0, 9], [5, 7], [11, 7], [10, 5], [3, 4], [1, 9], [2, 10], [3, 7], [0, 1]]} | {"states": [182, 2230], "expectation_value": -0.12900394007610005, "params": [[[1.6205, 0.0085], [1.4235, 0.009000000000000001], [1.4107, 0.007], [1.4791, 0.0012000000000000001], [1.7035, 0.0032], [1.4351, 0.0008], [1.7138, 0.005200000000000001], [1.6875, 0.0028], [1.3956000000000002, 0.0047], [1.7169, 0.0081], [1.7238... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(11) @ Z(3)) + 0.5 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(10)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.0, "smallest_bitstrings": ["011101001001", "100010110110", "011101001101", "100010110010"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.2751820526338737) q[0];
rz(0.3673359560710521) q[0];
rx(-0.004042840606395509) q[1];
rz(-1.3943051245682803) q[1];
rx(0.0703460171986246) q[2];
rz(0.5982788607515066) q[2];
rx(0.20532256839220644) q[3];
rz(0.9272624982351787) q[3];
rx(3.306648067082097) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIZ",
"IIIIIIIIIIZZ",
"IIIIIZIIZIII",
"IIIIIZIIIIZI",
"ZIIIIIIIZIII",
"IZIIIIIIIIZI",
"ZZIIIIIIIIII",
"IZIZIIIIIIII",
"IIIIIIIZZIII",
"IIIIIIIZIIZI",
"IIIIIZIIIZII",
"IZIIIIIIIZII",
"IIZIIIIIIIIZ",
"IIZIIIIIIIZI",
"IZIIIIZIIIII",
"IIIIZIIIZIII",
"ZIIIZIIIIIII",
"IIIIZIZII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.974588 | [
3.2751820526338737,
0.3673359560710521,
-0.004042840606395509,
-1.3943051245682803,
0.0703460171986246,
0.5982788607515066,
0.20532256839220644,
0.9272624982351787,
3.306648067082097,
-0.7197948399467053,
-0.03676657120684697,
-0.7677866535045177,
2.823399071518985,
-1.2554905309055293,
... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 45 |
2588d6bc234a2ebe9da283ea0a74ab37 | 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": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [210, 127], "expectation_value": -6.027559410627919, "params": null, "bitstrings": ["00101101", "10000000"], "total_optimization_steps": 83, "probabilities": [0.05036366897357575, 0.7862576008289568], "optimization_time": 119.5602355003357} | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.14839836116753768) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(0.5527585164935408) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(0.32881606869814567) q[3];
cx q[6], q[3];
cx q[1], q[3];
rz(0.552758516493540... | 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(1.5626) q[4], 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] = mea... | [
"IZIIIIIZ",
"IZIIIIZI",
"IZIIZIII",
"IIIIZIZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIIZZI",
"ZIIIIZII",
"IIIZIZII",
"IZZIIIII",
"IIZIIIZI",
"ZIZIIIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII"
] | [
-0.5,
-0.75,
-0.25,
-0.75,
0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
0,
-0.25,
0.5,
-0.5,
-0.75,
0.75,
-0.5,
0.75
] | 0.86115 | [
0.14839836116753768,
0.5527585164935408,
0.32881606869814567,
-0.765912548820112,
0.2311734859611556,
0.05741605135624837,
-1.2951574166671995,
0.5782381291255552,
-0.3685606030596106,
-0.7438219039249117,
-0.9069556769159839,
0.951041222959043,
-0.5805358994066825,
1.6189642146834144,
-... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 500 |
38f137728aa288017fb6e77e397c7c5c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 7}, {"weight": 1, "source": 1, "target... | {"states": [27221, 43605], "expectation_value": -2.016689385424376, "params": [0.5033, 0.4882, 0.3685, 0.3583, 0.38220000000000004, 0.388, 0.0033, 0.0063, 0.39230000000000004, 0.3929, 0.0067, 0.0028, 0.3861, 0.3947, 0.0264, -0.0055000000000000005, -0.01, -0.0257, 0.3912, 0.3836, -0.0166, 0.0148, 0.39, 0.3896, 0.0076, -... | 0.25 * (Z(0) @ Z(1)) + 0.00026041666666666666 * (Z(2) @ Z(0)) + 0.00026041666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006510416666666666 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + -0.0006510416666666666 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005208333333333333 * (Z... | 13 | 16 | 4 | {"smallest_eigenvalues": [-2.0199652777777413], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0199652777776587, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.016145833333309} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.5654779670798409) q[0];
ry(0.14402944392157843) q[1];
ry(1.5070742862472157) q[2];
ry(0.00326291141612349) q[3];
ry(1.677896976577902) q[4];
ry(-0.0004180195311676016) q[5];
ry(1.6663581868950403) q[6];
ry(1.6312603084216823) q[7];
ry(0.01917365864312516) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.00026041666666666666,
0.00026041666666666666,
0.25,
-0.0006510416666666666,
-0.00078125,
-0.0006510416666666666,
-0.00078125,
0.25,
-0.0005208333333333333,
-0.0006944444444444446,
-0.0005208333333333333,
-0.0005208333333333333,
-0.0006944444444444446,
-0.0005208333333333333,
0.... | 0.97202 | [
1.5654779670798409,
0.14402944392157843,
1.5070742862472157,
0.00326291141612349,
1.677896976577902,
-0.0004180195311676016,
1.6663581868950403,
1.6312603084216823,
0.01917365864312516,
1.7748246180111893,
-0.050733965111285736,
1.4959473649241986,
0.14239188211970258,
1.5332276298101073,
... | {
"n_parameters": 32,
"n_qubits": 16,
"optimal_eigenvalue": -2.0199652777777413,
"target_ratio": 0.97,
"target_value": -1.9593663194444089
} | 38 |
dab40a2f654e93a72357d226e03c7017 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [826, 827], "expectation_value": -1.9976829323937337, "params": [0.9911000000000001, -0.0025, 0.8344, -0.0779, 0.0944, -0.49110000000000004, 0.0014, 0.6273000000000001, 0.9545, 0.4912, 0.9817, 0.21880000000000002, 0.9924000000000001, -0.0017000000000000001, 0.4862, 0.37420000000000003, 0.9918, 0.2119, 0.5842... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) ... | 16 | 10 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011000100", "1000100001", "0101000010", "0010101000"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-9.732836771679241e-09) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-9.732836771679241e-09) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-9.732836771679241e-09) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-9.73283... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIIIZIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIIIZIZIIZ",
"IIIZIIZIIZ",
"IIIZZIIIIZ",
"IIIZZIZIII",
"IIIZZIZIIZ",
"IIIIZZIIII",
"IIZIIZIIII",
"IZIIIZIIII",
"IIZIZIIIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125... | 0.875 | [
-9.732836771679241e-9,
1.5707963924426682,
-8.266767826270459e-8,
-1.570796288084588,
1.570796283532113
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 154 |
b9d77147a8075a3ab2c92d83b9a01aff | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [26, 15], "expectation_value": -2.313921416446625, "params": null, "bitstrings": ["00101", "10000"], "total_optimization_steps": 25, "probabilities": [0.1260881564340479, 0.6003138025270256], "optimization_time": 13.664743661880493} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + 1.0 * Z(1) + 0.25 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010", "10000"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.3021285901869553) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.043858714499417424) q[1];
cx q[3], q[1];
rz(0.15148676426630026) q[3];
rx(1.6420934673725691) q[3];
h q[4];
cx q[0], q[4];
rz(-0.6058695825523499) q[4];
cx q... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IZIIZ",
"ZIIIZ",
"IZIZI",
"ZIIZI",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
-0.25,
0.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
1,
0.25
] | 0.970354 | [
-0.3021285901869553,
-0.6058695825523499,
-0.043858714499417424,
0.1514867642663002,
-1.1554450260119575,
-1.1686368417294875,
1.6420934673725691,
-0.5967042178992558,
-0.4649764029594956,
-0.7324181695780487,
0.37535760010990565,
-0.9130635513536562,
-0.23404186224473988,
0.11806590585545... | {
"n_parameters": 26,
"n_qubits": 5,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 256 |
9c1ee192c2f57fe7cc46ca444fd40044 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [32, 1], "expectation_value": -7.942303765670233, "params": null, "bitstrings": ["011111", "111110"], "total_optimization_steps": 18, "probabilities": [0.15643410268844596, 0.8141130102870059], "optimization_time": 13.528825759887695} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.75 *... | 1 | 6 | 4 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4280305935609409) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.586367014293522) q[4];
cx q[1], q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.586367014293522) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.4280305935609409... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-1,
-0.75,
-0.75,
-0.75,
-0.75,
-1,
-0.5,
-0.75,
2,
-0.25,
-1,
-1.5,
-0.25,
0,
0.25,
0.75,
0.75
] | 0.573914 | [
-0.4280305935609409,
-0.586367014293522,
-0.5941967814927773,
0.9893183086380308,
-0.015078214242113929,
-0.4197495527732082,
-0.00750719659323729,
0.17460404483085798,
0.3564795609965509,
-0.9246051704663378
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 223 |
00c47f772e828bc0d4453cbe4002ef93 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [5, 7], "expectation_value": -5.304559129426311, "params": [[[0.3017, -0.19390000000000002], [0.2634, 0.231], [0.30310000000000004, -0.1927], [0.3013, 0.1963], [0.65, 0.0001], [0.5924, 0.0004], [0.6018, 0.0031000000000000003]], [[0.3033, -0.19390000000000002], [0.2621, 0.23120000000000002], [0.3045, -0.1927]... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.3740494778088388) q[0];
rz(0.038480760740334644) q[0];
ry(0.224551751390454) q[1];
rz(0.5370851894701437) q[1];
cx q[1], q[0];
ry(0.4448488714328079) q[0];
rz(0.05144857571396507) q[0];
ry(0.3371077171914179) q[1];
rz(0.08762329343067346) q[1];
ry(0.104881867130796... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.25,
-3.5,
-3.25,
-3.25,
-3.25,
-2.75,
-3,
-3
] | 0.973285 | [
0.3740494778088388,
0.038480760740334644,
0.224551751390454,
0.5370851894701437,
0.10488186713079617,
0.1035541280360952,
-0.01808806022148845,
-0.024568873931475266,
0.25887705446175446,
0.13569640496103613,
0.02791278499853541,
0.3774374145905032,
1.1970490074798599,
-0.17339973107511375... | {
"n_parameters": 127,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 80 |
8187861871971557743 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 4], [0, 1, 2, 3, 5, 6, 8], [0, 2, 3, 4, 5, 6], [8, 3, 5, 7], [0, 1, 2, 5, 7], [8, 2, 5, 7], [1, 2, 6, 7], [2, 3, 4, 5, 6, 7], [0, 1, 3, 4, 5, 7], [1, 5, 6, 7], [1, 2, 4, 5, 7], [8, 5, 6, 7]]} | {"states": [493, 237], "expectation_value": -2.094941956004395, "params": [1.1037000000000001, 0.0032, 1.1017000000000001, 0.0012000000000000001, 1.0921, -0.0051, 1.0839, 0.0029000000000000002, 1.0928, -0.0032, 1.091, 0.0011, 1.0943, 0.0028, 1.0874000000000001, 0.0039000000000000003, 1.092, -0.0022, 0.6988000000000001,... | 0.5 * (Z(8) @ Z(4)) + 0.06666666666666667 * (Z(0) @ Z(4)) + 0.023809523809523808 * (Z(0) @ Z(8)) + 0.08333333333333334 * (Z(1) @ Z(4)) + 0.023809523809523808 * (Z(1) @ Z(8)) + 0.10714285714285715 * (Z(1) @ Z(0)) + 0.11666666666666667 * (Z(2) @ Z(4)) + 0.10714285714285714 * (Z(2) @ Z(8)) + 0.10714285714285715 * (Z(2) @ ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.792857142857143], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.742857142857142, "smallest_bitstrings": ["100010010"], "largest_eigenvalue": 11.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.5840592900251025) q[0];
rz(1.64761924595944) q[0];
rx(0.877872905437211) q[1];
rz(1.6259378629550216) q[1];
rx(1.7229651836788629) q[2];
rz(1.543990842668146) q[2];
rx(2.271935937628358) q[3];
rz(1.6169277541277367) q[3];
rx(0.38867841141682086) q[4];
rz(1.63808155... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"ZIIIZIIII",
"IIIIZIIIZ",
"ZIIIIIIIZ",
"IIIIZIIZI",
"ZIIIIIIZI",
"IIIIIIIZZ",
"IIIIZIZII",
"ZIIIIIZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZZIII",
"ZIIIIZIII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZZIIII",
"ZIIZIIIII",
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"... | [
0.5,
0.06666666666666667,
0.023809523809523808,
0.08333333333333334,
0.023809523809523808,
0.10714285714285715,
0.11666666666666667,
0.10714285714285714,
0.10714285714285715,
0.20714285714285713,
0.1,
0.10714285714285714,
0.09047619047619047,
0.05714285714285714,
0.09047619047619047,
0... | 0.970918 | [
2.5840592900251025,
0.07682291916454406,
0.8778729054372109,
0.055141536160125335,
1.722965183678863,
-0.026805484126750323,
2.271935937628358,
0.046131427332840126,
0.3886784114168209,
0.06728522722441498,
1.8858318108015784,
-0.04633182367585177,
1.661559456282557,
-0.08850954113230222,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -2.792857142857143,
"target_ratio": 0.97,
"target_value": -2.709071428571429
} | 155 |
af2a36d48b24ac9d67c140052b571700 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"sour... | {"states": [60, 62], "expectation_value": -3.147414948071696, "params": [0.3845, 0.3262, 0.7887000000000001, -0.0034000000000000002, 1.1984000000000001, 0.00030000000000000003, 1.2079, -0.0034000000000000002, 1.1973, -0.0013000000000000002, 1.2123000000000002, 0.0004, 1.2087, 0.0028, 1.2041, 0.0038, 0.1327, 0.0063, 0.5... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + -0.5 * Z(3) + -1.0 * Z(0) + -0.5 * Z(4) + -2.0 * Z(8) + 0.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(6) + 0.0... | 4 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["101010001", "111000001", "000110101", "001110001"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.11889680620916268) q[0];
rz(2.274348995978589) q[0];
rx(0.059436883506450246) q[1];
rz(1.7616278763518256) q[1];
rx(1.6127574283664174) q[2];
rz(1.5665841214956453) q[2];
rx(1.6741734966648922) q[3];
rz(1.7616278763518256) q[3];
rx(1.3984325581929138) q[4];
rz(1.75... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"ZIIIIIIIZ",
"IIIIZIIZI",
"IIIIIZZII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIZIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-2,
0,
-1,
-0.5,
0,
0
] | 0.973309 | [
0.11889680620916268,
0.7035526691836926,
0.05943688350645024,
0.1908315495569295,
1.6127574283664174,
-0.00421220529925094,
1.6741734966648922,
1.3984325581929138,
0.1871592813335302,
2.0446261031689765,
0.37149010616022876,
1.7781786650960922,
0.19557929388026773,
3.193608052690252,
-0.... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 25 |
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": 149.17011260986328} | -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 | 4 | {"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 |
a9d659a07c5ecced76200691156cd5b6 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21802, 21930], "expectation_value": -1.6205970020291471, "params": [[0.3386, 1.5882, 0.28500000000000003, 1.5791000000000002, 0.2954, 1.5889, 0.299, 1.5550000000000002, 0.3259, 0.32380000000000003, 1.5783, 0.2871, 1.5842, 0.28300000000000003, 1.594, 1.528], [0.28350000000000003, 1.5821, 0.2917, 1.5868, 0.29... | 0.25 * (Z(0) @ Z(1)) + 0.00025000000000000006 * (Z(2) @ Z(0)) + 0.00025000000000000006 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010000000000000002 * (Z(4) @ Z(0)) + 0.00025000000000000006 * (Z(4) @ Z(2)) + -0.0010000000000000002 * (Z(5) @ Z(1)) + 0.00025000000000000006 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.023124999999955], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.023124999999941, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.015374999999987} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.1993665165342126) q[0];
ry(1.349159488817914) q[1];
ry(-0.19132541863534497) q[2];
ry(1.1773938410888023) q[3];
ry(0.02722791972620106) q[4];
ry(1.7339865017081675) q[5];
ry(0.013308648564168987) q[6];
ry(1.4241067407637598) q[7];
ry(-0.17515843458619657) 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[... | {"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,
0.00025000000000000006,
0.00025000000000000006,
0.25,
-0.0010000000000000002,
0.00025000000000000006,
-0.0010000000000000002,
0.00025000000000000006,
0.25,
-0.0008749999999999999,
-0.0008749999999999999,
-0.0008749999999999999,
-0.0008749999999999999,
-0.0008749999999999999,
-0.000... | 0.970016 | [
-0.1993665165342126,
1.349159488817914,
-0.19132541863534497,
1.1773938410888023,
0.02722791972620106,
1.7339865017081675,
0.013308648564168987,
1.4241067407637598,
-0.17515843458619657,
-0.15675086246226944,
1.3620976591266651,
-0.045099292327448276,
1.399679424337489,
0.12330218628721508... | {
"n_parameters": 31,
"n_qubits": 16,
"optimal_eigenvalue": -2.023124999999955,
"target_ratio": 0.97,
"target_value": -1.9624312499999563
} | 27 |
1f5d7944e50ebc48c654989c65672b6f | 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": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 1, ... | {"states": [33, 1], "expectation_value": -0.8767797359152651, "params": [[-0.0746, -0.0809], [0.0724, 0.0746]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.007463978649530973, 0.008646352894846608], "optimization_time": 3.169464349746704} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.0 * Z(7) + -1.2... | 1 | 8 | 2 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.09738613442502557) q[0];
rz(0.435952912591826) q[0];
rx(-0.047169160464950136) q[1];
rz(-0.90779886270394) q[1];
rx(-0.13931343964056148) q[2];
rz(0.2905097873613709) q[2];
rx(-0.03624817296492008) q[3];
rz(-0.01949650125297886) q[3];
rx(0.07846903487514233) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIZIZIII",
"IIZIIZII",
"IZIZIIII",
"IZZIIIII",
"IZIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
-0.5,
-0.75,
-0.25,
1,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-0.75,
-0.75,
1.25,
-0.25,
-0.75,
1,
-1.25,
0.25,
0.5,
-0.75
] | 0.971658 | [
0.0973861344250256,
0.16265904465971007,
-0.047169160464950136,
-0.7941578805206778,
-0.13931343964056148,
0.37706575029109946,
-0.03624817296492008,
-0.1970044103307955,
0.07846903487514233,
-0.11358981143886039,
0.012705731843903292,
-0.4464676850645991,
0.8094954770296601,
1.55968326296... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 10 |
6891600821603528270 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 4], [2, 5, 6], [1, 2, 5], [0, 3], [8, 3, 4], [0, 8, 2, 5], [8, 1, 3, 6], [0, 2, 6], [8, 2, 6, 7]]} | {"states": [413, 415], "expectation_value": -1.3518130427661736, "params": [[0.37770000000000004], [-0.37920000000000004]], "bitstrings": ["001100010", "001100000"], "total_optimization_steps": 40, "probabilities": [0.00941708899141929, 0.010006078629175859], "optimization_time": 5.2102813720703125} | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.41666666666666663 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.41666666666666663 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.25 * (Z(0) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.9166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["001100000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.7674718707256558) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.04229521593920156) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(0.04229521593920156) q[4];
cx q[1], q[4];
h q[5];
cx q[2], q[5];
rz(0.19345785570593582) q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIZIZII",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIIIZI",
"IIZZIIIII",
"IIIIIIZIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIZIIZIII",
"IIIIIZIIZ",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZIIIIIIIZ",
"... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.41666666666666663,
0.16666666666666666,
0.41666666666666663,
0.08333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.5,
0.1... | 0.690091 | [
0.7674718707256558,
0.04229521593920156,
0.19345785570593582,
-0.003345505536936749,
0.03160572009918316,
1.5437441159834957,
-1.2285077334307513,
1.3911566186944624,
1.4810071869572823,
-0.0004189058198177288,
1.5220623958088704,
1.5839566503449012,
-1.1288213744717954
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -2.9166666666666665,
"target_ratio": 0.97,
"target_value": -2.8291666666666666
} | 296 |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [1623, 988], "expectation_value": -2.7068734688343015, "params": [[0.08, 0.0751, 0.0785], [-0.08850000000000001, -0.07970000000000001, -0.08080000000000001]], "bitstrings": ["00110101000", "10000100011"], "total_optimization_steps": 10, "probabilities": [0.0018780676185795253, 0.0018780676185795255], "optimi... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 1 | 11 | 3 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00110101000", "10000100010", "00100101000", "10000100011"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIIZII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
1.5,
1.25,
1.5,
1,
1,
1,
1.25,
1.5,
1.5,
0.25,
0.25
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
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