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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
4f015de320ff5c74d9012030af950afe | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [200, 201], "expectation_value": -4.157237359356302, "params": [1.6003, -0.0036000000000000003, 1.6113000000000002, 0.0031000000000000003, 0.0035, -0.0033, 1.2408000000000001, -0.0028, 1.6044, -0.0031000000000000003, 0.9615, 0.3916, 0.5275000000000001, -0.0025, 1.6084, 0.004200000000000001, 1.579500000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(6) + -0.5 * Z(1) + ... | 4 | 8 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["00110110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.2440719486947698) q[0];
rz(1.6674359231642697) q[0];
rx(2.976023430097184) q[1];
rz(1.958171192254781) q[1];
rx(0.13842249104500579) q[2];
rz(1.2475326012476522) q[2];
rx(1.44183668642453) q[3];
rz(1.4187581773610765) q[3];
rx(-3.056099905619268) q[4];
rz(1.1037181... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IIIIZZII",
"IZIIZIII",
"IIIZIZII",
"IIZZIIII",
"IIIZZIII",
"ZIIIIZII",
"ZZIIIIII",
"ZIIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
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,
-0.5,
-1,
-0.5,
-0.5,
-1.5,
-1,
-1
] | 0.971183 | [
1.24407194869477,
0.09663959636937329,
2.976023430097184,
0.387374865459884,
0.13842249104500576,
-0.32326372554724464,
1.4418366864245298,
-0.15203814943381988,
3.2270854015603185,
-0.46707816745433417,
0.17527236186926828,
-0.5966098730682791,
0.17346501556504584,
0.33784957414497235,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 16 |
57e4a42254a59ee532f799c4c74dbbc5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [65, 33], "expectation_value": -13.814109408373914, "params": null, "bitstrings": ["10111110", "11011110"], "total_optimization_steps": 29, "probabilities": [0.30275900946009937, 0.49999904538896256], "optimization_time": 29.51349639892578} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -2.75 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 0.0 * Z(5) + 2.5 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-17.75, -17.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["11111110", "11011110"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.005854303607264674) q[0];
rz(0.3960597459368831) q[0];
rx(-0.013489921067996584) q[1];
rz(0.8659527247617227) q[1];
rx(0.693863413275396) q[2];
rz(-0.07052575540604744) q[2];
rx(0.07980093795002999) q[3];
rz(0.23434034951631544) q[3];
rx(-0.05568818637921519) q[4]... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.57) 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... | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"ZIIIIIIZ",
"IIZIIZII",
"IIIZZIII",
"IZIIIIZI",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
-1.5,
-1.5,
-0.5,
-0.25,
2.5,
-0.5,
-2.75,
-1.5,
-1.25,
-0.25,
-3.25,
-0.25,
0.5,
0,
2.5,
0.5,
-0.5,
0.5
] | 0.977064 | [
-0.005854303607264674,
0.5558932394584737,
-0.013489921067996583,
0.6906493351292241,
0.6938634132753959,
0.052719814559119754,
0.07980093795002999,
0.4969877308788506,
-0.05568818637921519,
0.7924222696935164,
0.07016453342192276,
0.8263182994596178,
0.18091812245774114,
-0.56424050298015... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 8 |
6f447f088c94f929cc2ad1a7ee10df9f | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [1, 14], "expectation_value": -5.16264714280359, "params": [0.3992, 0.1913, 0.09190000000000001, -0.22440000000000002, 0.10450000000000001, 0.1985, 0.11370000000000001, -0.0082, 0.7060000000000001, -0.0005, 0.7032, -0.0035, 0.6993, 0.002, 0.7004, -0.0047, 0.3982, 0.1647, 0.0888, 0.2179, 0.0965, -0.1616000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) ... | 4 | 8 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["00101111", "01010111", "01110110", "11110001", "11110010"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14651720532140095) q[0];
rz(1.961020678127472) q[0];
rx(0.3791878821896939) q[1];
rz(1.2623651413375336) q[1];
rx(-0.3032044470713868) q[2];
rz(1.9220386665679108) q[2];
rx(-0.07189003327983777) q[3];
rz(0.41741780404543505) q[3];
rx(0.7271716277650949) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IZIIIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IZIIIZII",
"IIIIIZZI",
"IIIZIIZI",
"ZZIIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"IIIZZIII",
"ZIIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-1.5,
-2,
-0.5,
-1.5,
-2
] | 0.972651 | [
0.14651720532140097,
0.3902243513325756,
0.3791878821896939,
-0.30843118545736264,
-0.3032044470713868,
0.3512423397730129,
-0.07189003327983777,
-1.1533785227494622,
0.7271716277650949,
0.08670033366412949,
1.5114134072221532,
-0.14894709155071306,
0.6765288671519263,
0.2740061721013285,
... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 23 |
f06cfa431b1d21951bd72bdc4807e338 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [34, 42], "expectation_value": -1.5923982620605788, "params": [-0.0025, 0.5259, 0.7019000000000001, 0.0036000000000000003, 0.4128, 0.12250000000000001, 0.5988, -0.0045000000000000005, -0.0044, 0.511, 0.6476000000000001, -0.0158, 0.45220000000000005, -0.08800000000000001, -0.0037, 0.5338, 0.6994, 0.0074, 0.41... | 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 | 7 | 3 | {"smallest_eigenvalues": [-2.75, -2.75, -2.75, -2.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.75, "smallest_bitstrings": ["1011100", "1010101", "1001110", "1000111"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.04358228463512977) q[0];
cx q[2], q[0];
rz(0.629790216378117) q[2];
rx(-0.6836283096730165) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04358228463512977) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.04358228463512977) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIIIZZZ",
"IIIZIZZ",
"IIIZZIZ",
"IIIZZZI",
"IIIZZZZ",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"IZZIIZI",
"ZIZIIZI",
"ZZIIIZI",
"ZZZIIII",
"ZZZIIZI",
"IZIIZII",
"ZIIZIII",
"III... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.625,
0.25,
-0.125,
-0.125,
-0.625,
-0.125,
-0.125
] | 0.987514 | [
-0.04358228463512977,
0.6297902163781169,
-1.038896045838605,
0.8898531274270675,
-0.6836283096730164,
0.08270608385341727,
-0.4891641665369492,
0.3380455981667369,
-1.2087704809257387,
1.2365945368731672,
-0.5651441507024032,
-0.44988414168676605,
-0.273403240245268
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 23 |
c626fecfe15280cdcce9cb7a7dd3f796 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [125, 109], "expectation_value": -64.72205433111027, "params": [0.1389, 0.0015, 2.5977, 0.008700000000000001, 2.5974, 0.009000000000000001, 1.4788000000000001, 0.0053, 2.5945, 0.0032, 2.5976, 0.0043, 0.003, 0.0091, 2.6046, 0.0073, 0.0029000000000000002, 0.0058000000000000005, 0.0078000000000000005, 0.008, 0.... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(2) @ Z(4)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(5)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(6) @ Z(7)) + -1.5 * Z(0) + 16.0 * Z(1) + 27.5 * Z(4) + 14.0 * Z(2) + 15.0 * Z(5) + 8.5 * Z(... | 18 | 8 | 1 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 160.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.03374641166359114) q[0];
rz(-0.003308952381821939) q[0];
rx(3.1844176399752357) q[1];
rz(0.16267171242401923) q[1];
rx(2.773668166874344) q[2];
rz(0.18796200685259729) q[2];
rx(0.3878624409418302) q[3];
rz(-0.0900453075049341) q[3];
rx(2.9449231421338853) 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], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIZIZII",
"IIZZIIII",
"IIZIIZII",
"IIIZZIII",
"IIIIZZII",
"IIZIZIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
-1.5,
16,
27.5,
14,
15,
8.5,
14.5,
-5.5
] | 0.9781 | [
-0.03374641166359114,
-0.05005671508065218,
3.1844176399752357,
0.16267171242401923,
2.773668166874344,
0.18796200685259729,
0.3878624409418302,
-0.0900453075049341,
2.9449231421338853,
0.25271101315028927,
2.9136722889946176,
0.22511835628927457,
0.05854082685755375,
-0.5361815503606128,
... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -79,
"target_ratio": 0.97,
"target_value": -76.63
} | 10 |
b426b8aff164c6823b185eb6b091738d | 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": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [52, 28], "expectation_value": -3.499900324058672, "params": null, "bitstrings": ["001011", "100011"], "total_optimization_steps": 26, "probabilities": [1.718749846806863e-05, 0.999950071326692], "optimization_time": 17.685374975204468} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IZIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-1,
-0.5
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
8c9c42cce4858c3411f12d293aa2a5ce | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [5159, 5158], "expectation_value": -129.44368050728295, "params": [1.1968, -0.0034000000000000002, -0.0033, 0.8337, 1.1989, 0.0019, -0.002, 0.8642000000000001, 0.0034000000000000002, 0.6881, 0.0025, 0.8943000000000001, 0.46140000000000003, 0.49470000000000003, 1.2019, 0.2617, -0.0015, 0.7712, 0.5831000000000... | 8.5 * (Z(1) @ Z(0)) + 8.5 * (Z(2) @ Z(3)) + 8.5 * (Z(4) @ Z(0)) + 8.5 * (Z(6) @ Z(7)) + 8.5 * (Z(8) @ Z(7)) + 8.5 * (Z(9) @ Z(2)) + 8.5 * (Z(10) @ Z(7)) + 8.5 * (Z(10) @ Z(6)) + 8.5 * (Z(12) @ Z(10)) + 8.5 * (Z(11) @ Z(2)) + 8.5 * (Z(11) @ Z(9)) + 8.5 * (Z(11) @ Z(10)) + 8.5 * (Z(11) @ Z(12)) + 9.5 * Z(0) + -8.0 * Z(1)... | 16 | 13 | 2 | {"smallest_eigenvalues": [-179.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -155.5, "smallest_bitstrings": ["0101111011001"], "largest_eigenvalue": 210.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(1.476303350251499) q[0];
rz(0.47935159100239844) q[0];
rx(0.14481567369060416) q[1];
rz(0.9709097493876151) q[1];
cx q[1], q[0];
rz(-0.38084706744946034) q[0];
cx q[1], q[0];
rx(1.6159898315037073) q[0];
rz(-0.23513713454458873) q[0];
rz(0.11357538165891555) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZZII",
"IIIIIIIIZIIIZ",
"IIIIIZZIIIIII",
"IIIIZZIIIIIII",
"IIIZIIIIIIZII",
"IIZIIZIIIIIII",
"IIZIIIZIIIIII",
"ZIZIIIIIIIIII",
"IZIIIIIIIIZII",
"IZIZIIIIIIIII",
"IZZIIIIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIIIIZ",
"IIIIIIIIIIIZI",
"IIIIIIIIIZIII",
"IIIIIIIIIIZ... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
9.5,
-8,
-3.5,
14.5,
-6.5,
15,
1,
-6,
3,
25.5,
5,
27,
-13.5
] | 0.977741 | [
1.476303350251499,
0.0985045235529382,
0.14481567369060416,
0.9709097493876151,
1.1355606844192727,
0.1574770619342355,
-0.1043802698647103,
0.9203010296509844,
0.027374510876275453,
0.565475823663758,
-0.21493852698598856,
0.9921760151982408,
-0.12702451930761763,
0.37318101619688504,
1... | {
"n_parameters": 70,
"n_qubits": 13,
"optimal_eigenvalue": -179.5,
"target_ratio": 0.97,
"target_value": -174.115
} | 18 |
67db7996d5a4d9f77514dc8fa1acf4cb | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 16, "source": 0, "target": 5}, {"weight": 19, "sour... | {"states": [244, 242], "expectation_value": -25.38880566155486, "params": [[-0.0322, 0.0049], [0.0732, 0.0722]], "bitstrings": ["100001011", "100001101"], "total_optimization_steps": 10, "probabilities": [0.006418299407177648, 0.007163261037406368], "optimization_time": 3.5598080158233643} | 5.0 * (Z(0) @ Z(3)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(4)) + 19.5 * Z(3) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-89.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["100001101"], "largest_eigenvalue": 189.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(4.4018789610203625e-09) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(4.4018789610203625e-09) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(4.4018789610203625e-09) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(4.4018789610203625e-09) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIZIIIIZI",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIIIIZII",
"ZIIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
19.5,
15,
23,
24.5,
15,
1.5,
5.5,
8.5,
-7
] | 0.888268 | [
4.4018789610203625e-9,
-1.5707963436613572,
-1.5707963123676265,
-1.570796291584434,
-1.5707963201547823,
1.5707963655439487,
-1.5707964170863216,
1.570796377775183,
1.5707964112440265,
1.5707963512637033,
-0.18916506558938193,
-0.6532155820756127,
0.19460946957578984,
0.11086452523362854,... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -89.5,
"target_ratio": 0.97,
"target_value": -86.815
} | 460 |
d0cf443e701d6863baf077a7ace5620a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 9, "source": 2, "target": 3}, {"weight": 12, "source": 3, "target": 8}, {"weight": ... | {"states": [490, 234], "expectation_value": -98.85365429007769, "params": [0.0058000000000000005, 0.36810000000000004, 0.00030000000000000003, 0.45380000000000004, 0.1832, 0.2054, 0.17800000000000002, 0.20040000000000002, 0.5342, 0.029500000000000002, 0.5296000000000001, 0.0449, 0.5283, 0.0078000000000000005, 0.5278, 0... | 5.5 * (Z(1) @ Z(4)) + 5.5 * (Z(2) @ Z(4)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(9) @ Z(8)) + 17.0 * Z(4) ... | 7 | 10 | 3 | {"smallest_eigenvalues": [-104.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.0, "smallest_bitstrings": ["1100010101"], "largest_eigenvalue": 189.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.13643567069367527) q[0];
rz(0.388773470449423) q[0];
rx(0.3150325322124885) q[1];
rz(0.028131338010074336) q[1];
cx q[1], q[0];
rz(0.13975547723755088) q[0];
cx q[1], q[0];
rz(-1.7430149451461632) q[0];
ry(0.13302614276909822) q[0];
rz(2.731507431600777) q[0];
rx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZI",
"IIIIIZIZII",
"IIIIIIIZZI",
"IIIIIZZIII",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"IIIIIZIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
17,
10,
16.5,
26,
8,
13.5,
2,
10,
0.5,
-8.5
] | 0.973049 | [
0.13643567069367527,
0.5285289476869741,
0.3150325322124885,
0.028131338010074336,
0.39389618183113506,
0.22043744153270747,
0.3189007639166758,
0.042376704479650515,
0.566952593244557,
0.00008318827405244533,
0.4065334553839868,
0.2527012067694072,
-0.048920137558694406,
0.001470212870969... | {
"n_parameters": 137,
"n_qubits": 10,
"optimal_eigenvalue": -104,
"target_ratio": 0.97,
"target_value": -100.88
} | 9 |
06452936e8d3a7a39aff75e9a51ed743 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 8}, {"weight": 14, "source": 1, "target": 6}, {"weight":... | {"states": [980, 468], "expectation_value": -74.28052778583584, "params": [0.27040000000000003, 0.1287, 0.2621, 0.1282, 0.49500000000000005, 0.0538, 0.4973, 0.0188, 0.49960000000000004, -0.0024000000000000002, 0.4974, -0.0022, 0.4924, 0.0074, 0.4888, 0.0016, 0.0263, 0.2505, 0.020800000000000003, 0.2546, 0.5018, 0.0723,... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(3)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(5)) + 10.0 * Z(1) + 8.5 * Z(0) + 18.0 * ... | 7 | 10 | 3 | {"smallest_eigenvalues": [-93.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["1000101011"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.08392357999791314) q[0];
rz(0.22801537293469565) q[0];
rx(0.37779060948065735) q[1];
rz(-0.058323134483439926) q[1];
cx q[1], q[0];
rz(-0.012474008753986437) q[0];
cx q[1], q[0];
rz(-1.1828454883127475) q[0];
ry(0.052208986194362476) q[0];
rz(1.776184567088281) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZIIIZII",
"IIZIIIZIII",
"IIZIIIIZII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIIZIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
10,
8.5,
18,
19,
8,
-1,
2,
18.5,
4.5,
4.5
] | 0.971489 | [
-0.08392357999791314,
0.21554136418070918,
0.37779060948065735,
-0.058323134483439926,
0.5889970745017269,
-0.036589927644473774,
0.36219390380623295,
0.0077301463417728915,
0.052768123289392094,
0.33471951819911683,
0.6057456028461152,
0.052138411320119024,
0.1357400611052235,
0.363256882... | {
"n_parameters": 139,
"n_qubits": 10,
"optimal_eigenvalue": -93.5,
"target_ratio": 0.97,
"target_value": -90.695
} | 14 |
2d27033b0e2b3a3bd875d21ae028b192 | 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": 1, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 4}, {"weight": 9, "source": 2, "target": 3}, {"weight": 17, "source... | {"states": [183, 181], "expectation_value": -69.38123571005649, "params": [-0.0007, 0.25720000000000004, 0.0023, 0.2679, 0.3884, 0.0534, 0.38880000000000003, 0.0109, 0.1764, -0.12510000000000002, 0.1663, -0.1297, 0.3912, 0.07780000000000001, 0.39830000000000004, 0.016900000000000002, 0.38930000000000003, 0.064, 0.3961,... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 15.0 * Z(1) + -4.5 * Z(0) + 8.5 * Z(3) + 4.5 * Z(2) + 7.0 * Z(4) + 6.0 * Z(5) ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["101001010"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.07276001104768694) q[0];
rz(-0.21384407668948846) q[0];
rx(0.15936799284314357) q[1];
rz(0.3965780684683753) q[1];
rx(0.015942557121480853) q[2];
rz(-0.4810243284612645) q[2];
rx(0.37609073669041543) q[3];
rz(0.3274510500572956) q[3];
rx(0.3724302559812963) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIIIZI",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
15,
-4.5,
8.5,
4.5,
7,
6,
20,
5,
12.5
] | 0.97185 | [
0.07276001104768694,
-0.14669539480904983,
0.1593679928431436,
0.25629344224725725,
0.015942557121480856,
-0.4914134470981911,
0.37609073669041543,
0.17698484951226734,
0.3724302559812963,
-0.04907677372947302,
0.21694884302759138,
-0.3509400470405013,
0.2705096265734792,
0.209075868991657... | {
"n_parameters": 175,
"n_qubits": 9,
"optimal_eigenvalue": -77,
"target_ratio": 0.97,
"target_value": -74.69
} | 57 |
de8cc468e237fc0b01b4910fa798084b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 10}, {"capacity": 1, "source": 1, "target"... | {"states": [0, 448], "expectation_value": -6.6718275715917175, "params": [-0.014700000000000001, 0.0352, -0.0025, -0.055900000000000005, -0.0044, 0.22080000000000002, -0.0011, 0.2386, 0.23240000000000002, 0.0013000000000000002, 0.2426, 0.0032, 0.2102, -0.0055000000000000005, 0.2227, -0.0038, 0.2335, 0.00170000000000000... | -0.5 * (Z(0) @ Z(5)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(10) @ Z(3)) + -0.25 * (Z(10) @ Z(7)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(8)... | 6 | 11 | 3 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25, -7.25, -7.25, -7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.25, "smallest_bitstrings": ["11000111000", "11000101000", "11000111111", "11000100000", "10000100000", "11000110000", "11010111111", "10000000000"], "largest_eigenvalue": 7.... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.08928848904069193) q[0];
rz(1.3024873879601682) q[0];
rx(-0.07425840168075032) q[1];
rz(2.341618132580532) q[1];
rx(1.2511748455520941) q[2];
rz(1.420375252426492) q[2];
rx(1.7034920438017886) q[3];
rz(1.6843902276527283) q[3];
rx(2.78651119300605) q[4];
rz(1.258... | 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIZ",
"IIIIIIIIZIZ",
"IIIIIZIIIZI",
"IIIIZIIIIZI",
"IIIIZIIZIII",
"IIIZIZIIIII",
"IIIZIIIIIZI",
"IIIZIIIZIII",
"ZIIIIIIZIII",
"ZIIZIIIIIII",
"IIIIIIZIZII",
"IIIIIIZIIZI",
"IIIZIIZIIII",
"IIZIIZIIIII",
"IIZIIIIIZII",
"ZIZIIIIIIII",
"IZIIZIIIIII",
"ZZIIIIIIIII",
"IZZIIIIII... | [
-0.5,
0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
0,
-0.75,
-0.5,
1,
0,
0,
1,
-0.25,
0.5
] | 0.98735 | [
-0.08928848904069195,
-0.2683089388347289,
-0.07425840168075033,
0.7708218057856357,
1.251174845552094,
-0.15042107436840477,
1.7034920438017886,
0.11359390085783197,
2.78651119300605,
-0.31265339862410096,
0.010795002131368761,
-0.03219171598174031,
-0.015649158345353104,
0.16165032424168... | {
"n_parameters": 28,
"n_qubits": 11,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 12 |
20b257e7ab3ea05503daa46ec3868b05 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [37, 52], "expectation_value": -0.3400283723441094, "params": [[-0.0868], [0.0799]], "bitstrings": ["011010", "001011"], "total_optimization_steps": 10, "probabilities": [0.018305756524479515, 0.018305756524479515], "optimization_time": 1.8146109580993652} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["001011", "011010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.5548614983032758) q[0];
h q[1];
ry(-0.4336582153180486) q[1];
h q[2];
ry(-1.5596846869202525) q[2];
h q[3];
ry(1.5548614983032758) q[3];
ry(-0.026435782347820826) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[1];
ry(0.4336582153180486) q[1];
cx q[5], q[1];
ry(-0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(x0) q[4];
c... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"IZIIZI",
"ZIIZII",
"ZZIIII",
"ZIIIZI",
"IIZZII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1,
-1,
0
] | 0.998061 | [
-1.5596846869202525,
-1.4823995321635313,
1.5548614983032758,
-0.8673164306360972,
0.7054725837623831,
-0.4872816670639519,
0.6442048738368666,
-0.5016801554814053,
0.16957923580848894,
-0.12340870985442795,
0.17931583905653592,
-0.021905959185723592,
-0.12392202456708895,
0.03449940289991... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
63b219c7c754c7637d33f8b93196cba5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [783, 1007], "expectation_value": -1.0953485880100295, "params": [[0.0703], [-0.0737]], "bitstrings": ["0011110000", "0000010000"], "total_optimization_steps": 10, "probabilities": [0.0015254753115489978, 0.0015834329954195487], "optimization_time": 3.7462480068206787} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + -2.0 * Z(3) + 1.0 * Z(2) + 1.0 * Z(4) + -1.0 ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["0000010000"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.7208059160942413) q[0];
cx q[1], q[0];
rz(-0.23305346333237154) q[0];
rx(-0.9406333418304605) q[0];
rz(-0.23305346333237154) q[1];
rx(-0.9406333418304605) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.7947851661710291) q[2];
cx q[3], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIZIZIII",
"IIZZIIIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIZIIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IZIIIIIIII"... | [
-1,
-2,
-2,
-1.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
-2,
1,
1,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.56974 | [
-1.7208059160942413,
-0.7947851661710291,
-1.0301841913691483,
-0.23305346333237098,
-0.026500338425677752,
-0.9406333418304605
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 172 |
1620330405202580069 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 2, 3, 5, 7, 8, 10], [1, 2, 5, 6, 7, 8, 10, 12], [0, 1, 2, 3, 4, 5, 6, 9, 10, 11], [2, 4, 5, 6, 7, 8, 9, 12], [3, 5, 6, 8, 9, 11, 12], [0, 1, 2, 3, 4, 5, 6, 7, 9, 10, 12], [0, 1, 2, 3, 4, 6, 8, 9, 10, 11, 12], [0, 2, 4, 5, 7, 8, 9, 11, 12], [0, 3, ... | {"states": [7800, 8056], "expectation_value": -2.9750050252257294, "params": [1.5635000000000001, 1.5727, 1.5654000000000001, 1.5722, 1.5781, 1.5772000000000002, 1.6093000000000002, 1.5412000000000001, 0.8651000000000001, 0.8489, 0.227, 0.22590000000000002, 1.6407, 1.5063, 1.5673000000000001, 1.5697, 1.5726, 1.5648, 1.... | 0.08484848484848484 * (Z(1) @ Z(2)) + 0.08484848484848484 * (Z(3) @ Z(2)) + 0.06421356421356422 * (Z(3) @ Z(1)) + 0.12932900432900432 * (Z(5) @ Z(2)) + 0.169011544011544 * (Z(5) @ Z(1)) + 0.13290043290043288 * (Z(5) @ Z(3)) + 0.14599567099567098 * (Z(7) @ Z(2)) + 0.10909090909090907 * (Z(7) @ Z(1)) + 0.1090909090909091... | 13 | 13 | 1 | {"smallest_eigenvalues": [-3.1117965367965366], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0940836940836927, "smallest_bitstrings": ["0000010000111"], "largest_eigenvalue": 17.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.598212394645899) q[0];
rz(0.059389457740448515) q[0];
ry(1.4198611859550208) q[1];
ry(1.6683528512275092) q[2];
ry(1.4931726711257687) q[3];
ry(1.2253367088803633) q[4];
ry(0.22464911408876265) q[5];
ry(1.6184259084724997) q[6];
ry(1.6705246876866937) q[7];
ry(1.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZI",
"IIIIIIIIIZZII",
"IIIIIIIIIZIZI",
"IIIIIIIZIIZII",
"IIIIIIIZIIIZI",
"IIIIIIIZIZIII",
"IIIIIZIIIIZII",
"IIIIIZIIIIIZI",
"IIIIIZIIIZIII",
"IIIIIZIZIIIII",
"IIIIZIIIIIZII",
"IIIIZIIIIIIZI",
"IIIIZIIIIZIII",
"IIIIZIIZIIIII",
"IIIIZZIIIIIII",
"IIZIIIIIIIZII",
"IIZIIIIIIII... | [
0.08484848484848484,
0.08484848484848484,
0.06421356421356422,
0.12932900432900432,
0.169011544011544,
0.13290043290043288,
0.14599567099567098,
0.10909090909090907,
0.1090909090909091,
0.18488455988455985,
0.11028138528138529,
0.13845598845598844,
0.0844877344877345,
0.1849206349206349,
... | 0.971224 | [
1.598212394645899,
1.4198611859550208,
1.6683528512275092,
1.4931726711257687,
1.2253367088803633,
0.22464911408876265,
1.6184259084724997,
1.6705246876866937,
1.503409672353244,
1.4755526447359253,
0.044503753289145825,
0.287540917130091,
0.822740776436969,
0.11877891548089703,
0.849264... | {
"n_parameters": 50,
"n_qubits": 13,
"optimal_eigenvalue": -3.1117965367965366,
"target_ratio": 0.97,
"target_value": -3.0184426406926406
} | 4 |
f23d2a7db93c6e79e89f3b179ac09e4a | 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": 1, "target": 2}, {"source": 4, "target": 5}, {"source": ... | {"states": [127, 1023], "expectation_value": -14.460299629349542, "params": null, "bitstrings": ["1110000000", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.0662882990478062, 0.31760010527715327], "optimization_time": 251.36475467681885} | -2.0 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -2.5 * (Z(5) @ Z(6)) + -2.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + -2.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(7)) + -2.5 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(5)) + -2.5 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(8)) + 1... | 1 | 10 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
ry(0.7281071062148635) q[1];
h q[2];
ry(0.7281071062148635) q[2];
cx q[0], q[2];
ry(-0.7281071062148635) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
ry(0.9766281068087005) q[5];
h q[6];
h q[7];
ry(0.7281071062148635) q[7];
cx q[6], q[7];
ry(-0.72810710... | 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[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII"... | [
-2,
-1.5,
0.5,
-1,
-2.5,
-2.5,
-2.5,
-2.5,
-2,
-2.5,
-2.5,
1,
-2.5,
1,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.922647 | [
1.456214212429727,
1.5859263813986206,
1.953256213617401,
-0.06744231709671222,
1.4213978082449175,
-0.24541153840732366,
0.09108126634270336,
0.005720102735280552,
-0.03778173519590952,
1.2121075920234368,
-1.5305030405657813,
1.1840488852634665,
-0.013119950978745498,
0.0306336645150311,... | {
"n_parameters": 67,
"n_qubits": 10,
"optimal_eigenvalue": -25.5,
"target_ratio": 0.97,
"target_value": -24.735
} | 500 |
c74167a186ef9c06e73f7bbbf8de6ec0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [368, 372], "expectation_value": -3.275816622953791, "params": [[[0.14, 0.5847, 0.0033, 0.0038], [0.6566000000000001, 0.35150000000000003, 0.5827, 0.198], [-0.18780000000000002, 0.30870000000000003, -0.3088, 0.25020000000000003], [0.038, -0.1759, 0.046700000000000005, -0.06860000000000001], [0.07010000000000... | 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(... | 11 | 9 | 4 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.75, "smallest_bitstrings": ["001101001", "100001011", "001001101", "010001011", "001001011"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.041251712218491) q[0];
rz(0.580050011553691) q[0];
ry(0.23646985773661366) q[1];
rz(0.46970932330323645) q[1];
cx q[1], q[0];
ry(-0.044856563565926946) q[0];
rz(0.3955318483577836) q[0];
ry(0.7797338022827801) q[1];
rz(-0.08414341469060317) q[1];
ry(-0.66695651907... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"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... | 0.971722 | [
-0.041251712218491,
0.580050011553691,
0.23646985773661366,
0.46970932330323645,
-0.666956519071666,
-0.018768719039308997,
0.024764447430296842,
0.5942090720854358,
0.04049400832053474,
0.7824465811501837,
-0.024260433111440733,
-0.3679413909186362,
0.030051998326202825,
0.091696359446894... | {
"n_parameters": 126,
"n_qubits": 9,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 65 |
7e286c90f17ff7394c4075cb20f3e88f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 5}, {"weight": 13, "source": 0, "tar... | {"states": [422, 244], "expectation_value": -8.919756520602705, "params": [[0.0437], [-0.06330000000000001]], "bitstrings": ["001011001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.003856698004964734, 0.004283820537334174], "optimization_time": 2.0361268520355225} | 4.5 * (Z(0) @ Z(3)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 15.5 * Z(3) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 154.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.050938511907527545) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.050938511907527545) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.050938511907527545) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(0.050938511907527545) q[2];
cx q[3], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
15.5,
9.5,
21.5,
14.5,
8.5,
2.5,
11.5,
5,
2.5
] | 0.977207 | [
0.050938511907527545,
1.5110427598651417,
-1.3453737194952657,
1.6793906775993144,
1.648585338732644,
1.5483490016537944,
-1.7084981758957947,
1.5072914727695665,
-0.9400283298899536,
-1.5223856545642962
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -79,
"target_ratio": 0.97,
"target_value": -76.63
} | 51 |
-6828090552461688646 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 7], [0, 1, 4, 5, 7], [2, 7], [1, 4, 5, 6, 7], [0, 1, 2, 3, 4, 5], [3, 4, 7], [0, 1, 5, 6, 7], [1, 2, 3, 4, 6], [1, 2, 3, 5, 6]]} | {"states": [250, 252], "expectation_value": -1.279768774313084, "params": [[-0.4358], [0.42250000000000004]], "bitstrings": ["00000101", "00000011"], "total_optimization_steps": 50, "probabilities": [0.01565437015039166, 0.015854653969573317], "optimization_time": 4.440942764282227} | 0.3 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.31666666666666665 * (Z(7) @ Z(1)) + 0.03333333333333333 * (Z(0) @ Z(3)) + 0.13333333333333336 * (Z(0) @ Z(1)) + 0.1 * (Z(0) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(1)) + 0.26666666666666666 * (Z(4) @ Z(7)) + 0.08333333333333334 * (Z(4... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.133333333333334, "smallest_bitstrings": ["00000011"], "largest_eigenvalue": 8.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.001701817495515812) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(-0.0027341637266866553) q[7];
cx q[3], q[7];
cx q[1], q[7];
cx q[3], q[0];
rz(-0.05825538800316314) q[0];
cx q[3], q[0];
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": []} | [
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIZI",
"IIIIZIIZ",
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIZZIII",
"IIIZIIZI",
"ZIIZIIII",
"IIIZIIIZ",
"IIZIZIII",
"IIZIIIZI",
"ZIZIIIII",
"IIZIIIIZ",
"IIZZIIII",
"IIIIZZII",
"IIIIIZZI",
"ZIIIIZII",
"IIIIIZIZ",
"IIIZIZII",
"IIZIIZII",
"IZIIZIII",
"IZIIIIZ... | [
0.3,
0.3333333333333333,
0.31666666666666665,
0.03333333333333333,
0.13333333333333336,
0.1,
0.25,
0.18333333333333335,
0.26666666666666666,
0.08333333333333334,
0.08333333333333334,
0.23333333333333334,
0.15000000000000002,
0.13333333333333336,
0.13333333333333333,
0.13333333333333336... | 0.975053 | [
-0.001701817495515812,
-0.0027341637266866553,
-0.1376975071157312,
-0.05825538800316314,
0.051477025322535286,
-0.033416247719984464,
0.11606269320051088,
0.0693189061539499,
-0.08530157922512575,
0.02717549349127517,
-0.006386122540209711,
0.06894959337917106,
-0.007394743955298549,
-0.3... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -2.166666666666668,
"target_ratio": 0.97,
"target_value": -2.101666666666668
} | 103 |
d5141e120f90f429ecf4d4dba0d0fe25 | 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": 18, "source": 0, "target": 6}, {"weight": 14, "source": 0, "target": 2}, {"weight": 20, "source": 1, "ta... | {"states": [380, 244], "expectation_value": -31.10299006835901, "params": [[-0.0375, -0.0064, 0.007500000000000001, 0.0108], [0.0609, 0.0616, 0.056400000000000006, 0.0568]], "bitstrings": ["010000011", "100001011"], "total_optimization_steps": 10, "probabilities": [0.01009604305229574, 0.011381048501928365], "optimizat... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 16.0 * Z(1) + 14.0 * Z(0) + 13.5 *... | 1 | 9 | 4 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 155.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0357441524412547) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.0357441524412547) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0357441524412547) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.0357441524412547) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZZIIIII",
"IZIIZIIII",
"ZIIIIIZII",
"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,
16,
14,
13.5,
19,
11.5,
9,
9.5,
0.5,
4
] | 0.970911 | [
-0.0357441524412547,
-1.3243738863478043,
0.20067037682180963,
-1.4627485553969521,
-1.3659985365122655,
-1.1931886195985468,
0.38743448584587753,
-1.2966974164736471,
1.2801504036576643,
0.9174965296837271,
0.749051589337997,
0.00805940144664026,
-0.3813827101871313,
1.0035341088991097,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -73.5,
"target_ratio": 0.97,
"target_value": -71.295
} | 88 |
0897b31d9a82279b7ba3c27721e1c7dd | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [81, 67], "expectation_value": -4.999862355032983, "params": null, "bitstrings": ["0101110", "0111100"], "total_optimization_steps": 32, "probabilities": [1.7184705868459562e-05, 0.9999312201793686], "optimization_time": 35.3807156085968} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(4) + -2.0 * Z(1) + -1.0 * Z(3) + -1.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100011", "0111100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.116952552672873) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.506937155918549) q[1];
ry(-0.04835348819428048) q[2];
rz(-pi) q[2];
ry(-0.04835348819428048) q[3];
rz(-pi) q[3];
ry(-0.04835348819428048) q[4];
rz(-pi) q[4];
h q[5];
ry(1.4591992826168048) q[5];
cx q[5], q[2];
ry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIZIIIZ",
"IIIIZZI",
"IIZIIZI",
"IIIZIZI",
"IZIIZII",
"IZIIIZI",
"IZIZIII",
"ZIZIIII",
"ZIIIIZI",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-2,
-1,
-1,
-1
] | 0.996009 | [
-1.506937155918549,
-1.4324166492555206,
1.4591992826168048,
-0.18005237869019097,
0.1739138865223437,
0.08512248384985079,
0.12820374576614546,
-0.02175841391827514,
0.04692024382718294,
0.10197694986490853
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
3685390199415884461 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 6], [9, 1], [2, 4], [6, 7], [8, 3], [9, 3], [11, 6], [2, 3], [1, 4], [11, 3], [0, 3], [9, 7], [0, 6], [0, 1], [5, 7], [2, 7], [1, 10], [9, 5], [11, 5], [9, 2], [1, 11], [5, 6], [2, 5], [4, 5], [1, 5], [11, 7], [0, 5], [8, 2], [1, 3], [1, 2], [8, 10], ... | {"states": [1520, 1528], "expectation_value": -0.009153615831388545, "params": [[[1.5185000000000002, 0.0078000000000000005], [1.6093000000000002, 0.0016], [1.5525, 0.0006000000000000001], [1.6159000000000001, 0.0016], [1.6049, 0.0061], [1.5827, 0.0047], [1.6123, 0.0046], [1.6041, 0.001], [1.5770000000000002, 0.0052000... | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(11)... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.0, "smallest_bitstrings": ["010110111000", "101001000111", "101000000111", "101010000111", "010101111000", "010111111000"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.028223084511232704) q[0];
rz(-1.9419824033665591) q[0];
rx(3.0899707199190978) q[1];
rz(0.37988599299361525) q[1];
rx(0.04866658937550462) q[2];
rz(-0.7263082136988581) q[2];
rx(2.974716839165845) q[3];
rz(0.37988599299361525) q[3];
rx(1.4348426427944818) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIIZII",
"IIZIIIIIIZII",
"IIIIIIIIIZZI",
"IIZIIIIIIIZI",
"IIIIIIIZIZII",
"IIIIIIIZIIZI",
"IIIIZZIIIIII",
"IIIIZIIIIZII",
"IIZIZIIIIIII",
"IIIZIIIIIZII",
"IIIIIIIIZZII",
"IIZIIIIIZIII",
"IIIIIIIIZIZI",
"IIIZIIIIZIII",
"ZIIIIZIIIIII",
"ZIIIIIIIIIZI",
"ZIIIZIIIIIII",
"ZIIIIIIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.979968 | [
-0.028223084511232704,
-1.9419824033665591,
3.0899707199190978,
0.37988599299361525,
0.04866658937550462,
-0.7263082136988581,
2.974716839165845,
1.4348426427944818,
-1.2166298347750963,
2.9754389946193074,
1.0665668054258917,
3.397863400382627,
-0.08047513230192249,
2.9624226931711197,
... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 49 |
06ca1e4ab97803c8da18c454e71b5daf | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1563, 1051], "expectation_value": -100.12174758306843, "params": [-0.0032, 0.3645, 0.6063000000000001, 0.0621, 0.36310000000000003, 0.13570000000000002, -0.0019, -0.3043, -0.018500000000000003, 0.3184, 0.0045000000000000005, -0.3341, 0.0026000000000000003, 0.4083, 0.6053000000000001, -0.0033, 0.5999, 0.1341... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(7) @ Z(1)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(3) @ Z(8)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(4) @ Z(10)) + 8.0 * (Z(11) @ Z(10)) + 8.0 * (Z(5) @ Z(11)) + 15.5 * Z(1) + -6.0 * Z(0) + 4.0 * Z(2) + 16.5 * Z(7) + -7.0 * Z(6) + 7.0 * Z(8) + -5.0 * Z(3) + ... | 18 | 12 | 4 | {"smallest_eigenvalues": [-129.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -121.0, "smallest_bitstrings": ["101111100100"], "largest_eigenvalue": 105.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.1297961678706266) q[0];
rz(0.4395811288833862) q[0];
rx(0.8833778122109766) q[1];
rz(0.2003657938578951) q[1];
rx(0.0990850757459773) q[2];
rz(-0.0647748834542523) q[2];
rx(-0.09396821891157284) q[3];
rz(-0.24683146822639374) q[3];
rx(-0.10155131770869259) 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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIZIIIIIZI",
"IIIIZIIIIZII",
"IIIIZZIIIIII",
"IIIZIIIIZIII",
"IIZZIIIIIIII",
"IZIIIIIZIIII",
"ZZIIIIIIIIII",
"ZIIIIIZIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIZIIIIIII",
"IIIIIZIIIIII",
"IIIZIIIIIIII",
"IIIIIIIIZIII",
"IIZIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
15.5,
-6,
4,
16.5,
-7,
7,
-5,
-3,
7.5,
-4.5,
5.5,
-7.5
] | 0.974174 | [
-0.1297961678706266,
0.3639382003776944,
0.8833778122109766,
0.2003657938578951,
0.0990850757459773,
-0.0647748834542523,
-0.09396821891157284,
-0.24683146822639374,
-0.10155131770869259,
0.31516717566036984,
-0.03967074395145086,
-0.26508498979366046,
0.10746315327784639,
0.69254871202525... | {
"n_parameters": 131,
"n_qubits": 12,
"optimal_eigenvalue": -129,
"target_ratio": 0.97,
"target_value": -125.13
} | 12 |
e17d4522d06c74511ede822588421ebb | 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": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "... | {"states": [0, 4095], "expectation_value": -12.18518010011905, "params": [-0.1794, 0.68, -0.2189, 1.2947, 0.6185, 0.431, 0.0037, -0.27030000000000004, 0.6565000000000001, 0.6923, -0.2114, 0.8005, 0.6608, 0.7778, -0.1178, 0.5848, 0.6564, 0.7488, 0.0528, 0.7287, 0.6646000000000001, 0.7026, 0.08030000000000001, 1.0359, 0.... | 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(0) @ Z(5)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + -2.0 * (Z(11) @ Z(2)) + 0.5 * (Z(3) @ Z(10)) ... | 6 | 12 | 3 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.8663273507398795) q[0];
rz(1.908799443080234) q[0];
rx(1.9718828217511726) q[1];
rz(2.2036176153936076) q[1];
rx(1.87288070004712) q[2];
rz(2.509370891709959) q[2];
rx(1.4513133912120508) q[3];
rz(2.897610793212891) q[3];
rx(0.444904239895732) q[4];
rz(2.05731073... | 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": 0} | {"circuits": [], "gradients": []} | [
"IIIIIZZIIIII",
"IIIIIIZIIIIZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIIIZIIIZ",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"IIZIZIIIIIII",
"IZIIIIIIIIZI",
"IIIIIIIIIZZI",
"IZIIIIIIIZII",
"ZZIIIIIIIIII",
"ZIIIIIIIIZII",
"IZIIIIIIZIII",
"IIIIIIIIZZII",
"ZIIIIIIIZIII",
"IIIIIIZIIIII",
"IIIIIZIII... | [
0.5,
-1.5,
-2,
-2,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
-1,
0.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.830661 | [
-0.8663273507398798,
0.3380031162853382,
1.9718828217511726,
0.6328212885987106,
1.8728807000471197,
0.9385745649150622,
1.4513133912120508,
1.3268144664179942,
0.44490423989573197,
0.4865144065574479,
0.6632024753211659,
0.07943656983825532,
0.3668597345972156,
-0.5970491501128776,
1.96... | {
"n_parameters": 178,
"n_qubits": 12,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 500 |
5006e3f2fc46556f1ad303d6163baa28 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [311, 310], "expectation_value": -95.94268677936304, "params": [-0.0059, 0.43510000000000004, 0.7896000000000001, -0.0009000000000000001, 0.0036000000000000003, 0.5888, 0.342, 0.23440000000000003, 0.7896000000000001, -0.0183, 0.7858, 0.1507, 0.15080000000000002, 0.3472, 0.7896000000000001, -0.0067, 0.7907000... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(1)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(9) @ Z(1)) + 6.0 * (Z(9) @ Z(4)) + 6.0 * (Z(9) @ Z(7)) + 6.0 * (Z(8) @ Z(3)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(8) ... | 18 | 10 | 4 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -94.0, "smallest_bitstrings": ["1011001001"], "largest_eigenvalue": 221.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.172137886695584) q[0];
rz(0.03589743530405087) q[0];
rx(0.683690252357922) q[1];
rz(0.15797817570345987) q[1];
rx(0.25210130211065906) q[2];
rz(0.23178760199396706) q[2];
rx(0.1529920714613633) q[3];
rz(-0.0045977762424009305) q[3];
rx(0.683690252357922) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIIZIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"ZIIIIIIIZI",
"ZIIIIZIIII",
"ZIZIIIIIII",
"IZIIIIZIII",
"IZIIZIIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
-3,
19.5,
19.5,
10,
18.5,
2.5,
25,
16.5,
15,
-7.5
] | 0.976812 | [
-0.17213788669558394,
0.2583018112500425,
0.683690252357922,
0.15797817570345987,
0.25210130211065906,
0.23178760199396706,
0.1529920714613633,
-0.0045977762424009305,
-0.05635129035755896,
0.7722734639880169,
0.09518935578188284,
0.18913903957318762,
0.4269249744266593,
-0.034994454185587... | {
"n_parameters": 112,
"n_qubits": 10,
"optimal_eigenvalue": -109,
"target_ratio": 0.97,
"target_value": -105.73
} | 11 |
-2102012743797197432 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[5, 7], [2, 11], [9, 3], [11, 7], [4, 5], [3, 6], [9, 7], [8, 5], [11, 5], [6, 7], [8, 7], [1, 3], [0, 7], [5, 6], [8, 9], [10, 6], [8, 3], [0, 9], [9, 11], [9, 4], [10, 11], [11, 4], [1, 10], [0, 10], [3, 11], [2, 6], [4, 7], [3, 7], [3, 4], [4, 6], [2, ... | {"states": [3197, 3181], "expectation_value": -0.0996392954632609, "params": [[[1.6524, 0.0092], [1.7387000000000001, 0.006900000000000001], [1.4299000000000002, 0.0094], [1.4484000000000001, 0.004200000000000001], [1.4183000000000001, 0.0], [1.6281, 0.0056], [1.7226000000000001, 0.0005], [1.5569000000000002, 0.0011], ... | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(11) @ Z(7)) + 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(11) @ Z(2)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(11)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(11)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(11)) + 0.5 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 42, "fi... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.6137566185254246) q[0];
rz(0.10646161986977337) q[0];
rx(3.1314372683240075) q[1];
rz(-1.3564140748158815) q[1];
rx(1.0666139224659732) q[2];
rz(-0.23212458791509794) q[2];
rx(0.0028998341726153287) q[3];
rz(-1.715847817513623) q[3];
rx(0.05868188460794434) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZIIIII",
"IIIIZIIIIZII",
"ZIIIZIIIIIII",
"ZIIIIIZIIIII",
"ZIIIIIIIIZII",
"IIZIZIIIIIII",
"ZIZIIIIIIIII",
"IIIIZIIIZIII",
"IIIIIIZIZIII",
"ZIIIIIIIZIII",
"IIZIIIIIZIII",
"IIIIZIIZIIII",
"IIIIIIZZIIII",
"ZIIIIIIZIIII",
"IIZIIIIZIIII",
"IIIIIIIZZIII",
"IIIIZZIIIIII",
"IIIIIZZII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
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0.5,
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0.5,
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0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970673 | [
2.6137566185254246,
0.10646161986977337,
3.1314372683240075,
-1.3564140748158815,
1.0666139224659732,
-0.23212458791509794,
0.0028998341726153287,
-1.715847817513623,
0.05868188460794434,
0.47272210787663893,
3.030383362273245,
-0.9473810079163706,
3.097635323360054,
-1.451823812730176,
... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 37 |
37b183b4dc70145272a31a80cccd7f15 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [127, 125], "expectation_value": -0.33442627946274384, "params": [[0.0488], [-0.037700000000000004]], "bitstrings": ["10000000", "10000010"], "total_optimization_steps": 10, "probabilities": [0.004551075424634307, 0.004553924143113846], "optimization_time": 2.3630831241607666} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(5) @ Z(1)) + -2.25 * (Z(5) @ Z(2)) + -1.25 * (Z(7) @ Z(4)) + 1.5 * (Z(7) @ Z(0)) + 0.75 * Z(4) + -... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.25, -11.25, -11.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000", "11111110", "10000010"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.11174149834812648) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.5516557895705306) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(-0.317004216547579) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[0], q[6];
rz(0.04186691593615... | OPENQASM 3.0;
include "stdgates.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": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IZIIIIIZ",
"IIIZIIZI",
"IZIIIIZI",
"IZIIIZII",
"IIIIIZZI",
"IIIZZIII",
"IIIIZIZI",
"IIIIZZII",
"IIZIIIZI",
"IIZIIZII",
"ZIIZIIII",
"ZIIIIIIZ",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.75,
-0.5,
-0.25,
-0.25,
-0.25,
-1,
-2,
-1,
-1,
-1.25,
-2.25,
-1.25,
1.5,
0.75,
-0.25,
0,
0.75,
-2.5,
-0.5,
1.5,
0.25
] | 0.845041 | [
-0.11174149834812648,
0.04186691593615775,
-0.5516557895705306,
-0.6331641652637868,
-0.317004216547579,
-0.2894627742225626,
-0.5891981736167695,
0.1701236134999354,
0.13608382337417127,
-0.24570874744628493,
-0.0015216716957055067,
0.8217944700284973,
-1.232959284409201,
-0.2646386024022... | {
"n_parameters": 25,
"n_qubits": 8,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 489 |
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [1, 0], "expectation_value": -3.299950088224382, "params": [-0.0025, 0.08270000000000001, -0.006, 0.0108, -0.0038, 0.0901, -0.0016, 0.0039000000000000003, 0.0018000000000000002, 0.0034000000000000002, -0.0021000000000000003, 0.0037, -0.0709, -0.0751, -0.0011, 0.0047, 0.008, 0.005200000000000001], "bitstrings... | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 18 | 3 | 2 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"], "largest_eigenvalue": 1.7000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06424924399158577) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.04813350541764115) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(1.5498376269972) q[1];
rx(1.7036418680237873) q[1];
rz(-0.06424924399158577) q[2];
cx q[0], q[2];
rz(1.2431... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": 1} | {"circuits": [], "gradients": []} | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-0.2,
-0.4,
-0.2,
-1,
-0.5,
-1
] | 0.971481 | [
-0.06424924399158577,
0.04813350541764115,
1.5498376269971996,
1.2431540253041897,
1.7036418680237873
] | {
"n_parameters": 5,
"n_qubits": 3,
"optimal_eigenvalue": -3.3,
"target_ratio": 0.97,
"target_value": -3.2009999999999996
} | 20 |
784a7d1914642d32b8d9e24da5ce100e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [67, 56], "expectation_value": -0.8807455376211144, "params": [[-0.064, -0.06910000000000001, -0.056400000000000006], [0.07440000000000001, 0.0748, 0.0695]], "bitstrings": ["0111100", "1000111"], "total_optimization_steps": 10, "probabilities": [0.014927884520554706, 0.014927884520554716], "optimization_time... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001011", "1000111", "1111000", "0111100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.7397964017790035) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.7397964017790035) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.7397964017790035) q[4];
cx q[0], q[4];
rz(0.8795768044253869) q[0];
rx(-0.730140045951841... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-0.5,
-0.5,
-1
] | 0.738887 | [
-0.7397964017790035,
0.8795768044253864,
0.32475766842351955,
-0.7301400459518418,
0.34610326116608253,
-0.07670284995624277,
0.0651643830681458,
1.6023376137444998
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 219 |
4522586205122830874 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 5], [0, 1, 6], [2, 4], [3, 5, 6], [1, 2, 3], [1, 4], [3, 5, 7], [4, 7], [0, 4, 6]]} | {"states": [238, 231], "expectation_value": -2.835998590024351, "params": null, "bitstrings": ["00010001", "00011000"], "total_optimization_steps": 53, "probabilities": [0.022167226010631275, 0.8489918664080941], "optimization_time": 85.11060857772827} | 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333332, "smallest_bitstrings": ["00011000"], "largest_eigenvalue": 7.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-2.802762727813264) q[0];
rz(-pi) q[0];
h q[1];
ry(1.6344824248385466) q[1];
h q[2];
h q[3];
ry(-0.5837458131157196) q[3];
h q[4];
ry(-0.25846734436868657) q[4];
ry(-2.977070097123663) q[5];
rz(-pi) q[5];
h q[6];
ry(0.2887485003067956) q[6];
h q[7];
cx q[7], q[4];
ry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[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[... | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IIIZIIZI",
"IIIIIIZZ",
"IZIZIIII",
"IZIIIIIZ",
"IZZIIIII",
"IZIIIIZI",
"IIIZIZII",
"IIIIIZZI",
"IIZIZIII",
"IIIIZIZI",
"IZIIZIII",
"IIIIZZII",
"ZIIZIIII",
"ZIZIIIII",
"ZIIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IZIIIII... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
... | 0.971714 | [
1.4221298975790597,
1.3528117899907675,
-0.5169346887373731,
1.6344824248385466,
-0.43142129510787397,
1.4123947978468412,
1.1781477227539368,
-0.940139275809095,
-1.1674916262314392,
0.14938494017179527,
0.48052300690318694,
-0.5521906687886537,
0.5774970006135912,
-0.28380712802481645,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -3.166666666666666,
"target_ratio": 0.97,
"target_value": -3.071666666666666
} | 19 |
212e5716392e95bb7f36e3c2b4215833 | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [255, 1023], "expectation_value": -15.614668695460296, "params": null, "bitstrings": ["1100000000", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.09946621989688, 0.3989743384893161], "optimization_time": 250.11606907844543} | -1.5 * (Z(1) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 1.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(2)) + -2.5 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(9)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 1.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.5, -21.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["0000000000", "1100000000"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.6994894104678968) q[0];
h q[1];
cx q[1], q[0];
ry(-0.6994894104678968) q[0];
cx q[1], q[0];
ry(1.2911215874195985) q[1];
h q[2];
ry(0.6813091048581909) q[2];
h q[3];
ry(0.7749630000948238) q[3];
h q[4];
h q[5];
ry(0.6813091048581909) q[5];
cx q[4], q[5];
r... | null | {"node": 0} | {"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[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] = measu... | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIZIZIII",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIZIIZIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII"... | [
-1.5,
-2.5,
1.5,
-2.5,
-2.5,
-2,
-2.5,
-2.5,
1,
-2.5,
1,
-1.5,
-1.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.940176 | [
1.3626182097163817,
1.5499260001896475,
-0.798878816208912,
1.5870963166835874,
-2.148478998183058,
0.37519645616819725,
0.8616489732326649,
1.6454836737565757,
0.010265620300813042,
1.3989788209357936,
0.12512638781790397,
-0.2791285185992939,
0.21825683209442817,
0.00495541533939223,
-... | {
"n_parameters": 69,
"n_qubits": 10,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 500 |
7c70c7c1d18b6d8cfb665f8a8cdbfc68 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1237, 1109], "expectation_value": -105.13684646931617, "params": [[[1.4005, 0.0029000000000000002, 0.007200000000000001, 0.0017000000000000001], [-0.0035, 0.4208, 0.5225000000000001, 0.006900000000000001], [0.0016, -0.804, 0.0068000000000000005, -0.8054], [0.027, -0.0603, 0.0267, 0.0057], [0.5875, -0.0011, ... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(0)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(0)) + 7.5 * (Z(6) @ Z(3)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(0)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(2) @ Z(10)) + 24.5 * Z(0) + -5.0 * Z(1) + 17.5 * Z(3) + 9.5 * Z(4) + ... | 12 | 11 | 2 | {"smallest_eigenvalues": [-126.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -125.0, "smallest_bitstrings": ["01110101010"], "largest_eigenvalue": 174.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.8499886967697095) q[0];
rz(-0.08504181418223127) q[0];
ry(-0.032295979973499304) q[1];
rz(0.6814693563323412) q[1];
cz q[1], q[0];
ry(1.434625181743611) q[0];
rz(0.35943926959720657) q[0];
ry(0.7976606630289218) q[1];
ry(0.0783567511388818) q[2];
rz(-0.55717094215... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIZIIIIIZ",
"IIIIZIIZIII",
"IIIZZIIIIII",
"IIZIIIIIIIZ",
"IIZIIIIZIII",
"IIZIZIIIIII",
"IZZIIIIIIII",
"ZIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
24.5,
-5,
17.5,
9.5,
-3.5,
22,
-4,
24,
-5.5,
-2,
-2.5
] | 0.970636 | [
1.8499886967697095,
-0.08504181418223127,
-0.032295979973499304,
0.6814693563323412,
0.0783567511388818,
-0.5571709421546298,
0.12373837971838493,
-0.2494927377118118,
1.0566933437634123,
0.09515824629103858,
0.007577303155554979,
-0.17269019587762788,
1.434625181743611,
-0.213414853556276... | {
"n_parameters": 57,
"n_qubits": 11,
"optimal_eigenvalue": -126,
"target_ratio": 0.97,
"target_value": -122.22
} | 30 |
0897b31d9a82279b7ba3c27721e1c7dd | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [67, 28], "expectation_value": -0.36040526023106667, "params": [[-0.08270000000000001], [0.0777]], "bitstrings": ["0111100", "1100011"], "total_optimization_steps": 10, "probabilities": [0.009401200964518798, 0.009597365543726795], "optimization_time": 1.5789244174957275} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(4) + -2.0 * Z(1) + -1.0 * Z(3) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100011", "0111100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.116952552672873) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.506937155918549) q[1];
ry(-0.04835348819428048) q[2];
rz(-pi) q[2];
ry(-0.04835348819428048) q[3];
rz(-pi) q[3];
ry(-0.04835348819428048) q[4];
rz(-pi) q[4];
h q[5];
ry(1.4591992826168048) q[5];
cx q[5], q[2];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IIIIZZI",
"IIZIIZI",
"IIIZIZI",
"IZIIZII",
"IZIIIZI",
"IZIZIII",
"ZIZIIII",
"ZIIIIZI",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-2,
-1,
-1,
-1
] | 0.996009 | [
-1.506937155918549,
-1.4324166492555206,
1.4591992826168048,
-0.18005237869019097,
0.1739138865223437,
0.08512248384985079,
0.12820374576614546,
-0.02175841391827514,
0.04692024382718294,
0.10197694986490853
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
93141c357d164fcf2a36ba666f8f01e3 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 3}, {"source": 1, "target": 3}]} | {"states": [2910, 3485], "expectation_value": -0.009489045472229701, "params": [[-0.0162], [0.0063]], "bitstrings": ["010010100001", "001001100010"], "total_optimization_steps": 10, "probabilities": [0.00024523973194814984, 0.00024523973194814995], "optimization_time": 8.728218793869019} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.75, "smallest_bitstrings": ["001001100010", "100100001010", "001001010100", "010010100001", "010010001100", "100100010001"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"IIZIIIIIZ... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1.25,
1.25,
1.25,
1,
1,
1,
1.25,
1.25,
1.25
] | 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 |
1f52280d6a6c29c3b2793d8446bbdb6d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [190, 182], "expectation_value": -64.63865399792068, "params": [0.169, 0.0094, 3.161, 0.006, 0.0028, 0.005, 3.1620000000000004, 0.007, 3.1590000000000003, 0.0027, 1.4715, 0.0086, 3.1605000000000003, 0.009600000000000001, 3.1612, 0.0021000000000000003, 0.9279000000000001, 0.0022, 0.0057, 0.0045000000000000005... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(8)) + 12.0 * Z(1) + 1.0 * Z(0) + -5.0 * Z(2) + 3.0 * Z(3) + 11.5 * Z(4) + 15.0 * Z(5... | 18 | 9 | 1 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 131.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.002238859866975863) q[0];
rz(-0.0587534680635482) q[0];
rx(3.0746671754992145) q[1];
rz(0.035191484540150135) q[1];
rx(0.16889244157772984) q[2];
rz(-0.11285780486770013) q[2];
rx(2.948187130281916) q[3];
rz(0.11981301431658065) q[3];
rx(3.074645444711163) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
12,
1,
-5,
3,
11.5,
15,
11.5,
5,
13
] | 0.983111 | [
-0.002238859866975862,
-0.05820394843234436,
3.0746671754992145,
0.035191484540150135,
0.16889244157772984,
-0.11285780486770013,
2.948187130281916,
0.11981301431658065,
3.074645444711163,
0.4192963486795724,
0.4117065541984793,
0.00018655434365112689,
3.246876133194599,
0.0786120029790189... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -73.5,
"target_ratio": 0.97,
"target_value": -71.295
} | 9 |
58fa04385078dcdc0b5f9361c481400a | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 1}, {"source": 3, "target"... | {"states": [23475, 14261], "expectation_value": -7.511492880345639, "params": [[-0.3488], [0.3627]], "bitstrings": ["010010001001100", "100100001001010"], "total_optimization_steps": 40, "probabilities": [0.0011669105788419093, 0.00116691057884191], "optimization_time": 11.092780351638794} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 5 | 15 | 1 | {"smallest_eigenvalues": [-10.999999999999982], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.99999999999996, "smallest_bitstrings": ["100100001001010"], "largest_eigenvalue": 32.999999999999936} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0];
rz(x0) q[0];
cx q[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.5,
1.25,
1.25,
1.2... | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
9e72b7dd0d69a46b7f007aaed5517323 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [6, 7], "expectation_value": -1.1231942068855434, "params": [[[1.0677, 0.0036000000000000003], [1.2555, 0.0044], [1.2675, 0.001], [1.8886, 0.0016], [1.8943, 0.0025], [1.6542000000000001, 0.0024000000000000002]]], "bitstrings": ["111001", "111000"], "total_optimization_steps": 190, "probabilities": [0.0624755... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
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... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.25
] | 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 |
e8c4647339e65e78a985268b8dab31e0 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2},... | {"states": [0, 2016], "expectation_value": -28.6245563906642, "params": [[[0.0024000000000000002, 0.0058000000000000005], [0.0027, 0.0038], [0.0024000000000000002, 0.0098], [0.0024000000000000002, 0.0037], [0.0022, 0.0031000000000000003], [1.6124, 0.0081], [0.0021000000000000003, 0.0037], [0.0027, 0.008], [0.0021000000... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.5 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(2)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(3)) + -2.5 * (Z(6) @ Z(8)) + 0.5... | 2 | 11 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["00000011111"], "largest_eigenvalue": 35.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.09220540406625502) q[0];
rz(0.002450353939496336) q[0];
rx(-0.07126277600159608) q[1];
rz(-0.10348645453976718) q[1];
rx(0.09220540406625502) q[2];
rz(-0.03505177663387025) q[2];
rx(0.09220540406625502) q[3];
rz(0.02754598574789672) q[3];
rx(0.03024271103013803) 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] ... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZIIZII",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIZIZIII",
"IIIIIIZIIZI",
"IIIIIZZIIII",
"IIIIIIZZIII",
"IIZIZIIIIII",
"IZZIIIIIIII",
"IZIIZIIIIII",
"IIZZIIIIIII",
"IIIZZIIIIII",
"IZIZIIIII... | [
-2.5,
-2.5,
-2,
1.5,
-2.5,
-2.5,
-3,
1,
1,
-3,
0.5,
0.5,
-2,
-2.5,
0.5,
1,
0.5,
-3,
-2.5,
0.5,
-2.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2.5,
-2,
1.5,
1
] | 0.972922 | [
0.09220540406625502,
0.002450353939496336,
-0.07126277600159608,
-0.10348645453976718,
-0.03505177663387025,
0.02754598574789672,
0.03024271103013803,
0.3201738850850863,
2.480258129133192,
0.05334201120377476,
0.06592874282277346,
-0.20232774194981917,
-0.1521051549377762,
0.2852717240367... | {
"n_parameters": 16,
"n_qubits": 11,
"optimal_eigenvalue": -31.5,
"target_ratio": 0.97,
"target_value": -30.555
} | 7 |
fc2a0aab6aa71710f421b73642e2514f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [56, 50], "expectation_value": -4.499937482234164, "params": null, "bitstrings": ["000111", "001101"], "total_optimization_steps": 26, "probabilities": [1.6356494447410052e-05, 0.9999687417661157], "optimization_time": 21.662145853042603} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + 0.0 * Z(1) + -1.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.11242251953068062) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.11242251953068062) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.11242251953068062) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(0.1124225... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZIIZ",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"IIZIZI",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
0,
-1
] | 0.886139 | [
0.11242251953068062,
0.7188618997790892,
-1.218608868119396,
0.06219707367807151,
-1.3014966604495342,
0.814754047515083,
-0.7136669890576299,
0.4534445368680647,
-0.6952065532198899,
0.5275019770757594,
0.01888035805324072,
-1.6254864120474146,
-0.7479707343602362,
0.5318744980053659,
0... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
82f2332f741b5ec7aa4bb36843cd0c9a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [49, 41], "expectation_value": -4.499937480746297, "params": null, "bitstrings": ["001110", "010110"], "total_optimization_steps": 26, "probabilities": [1.635691870469763e-05, 0.9999687410148395], "optimization_time": 21.716955423355103} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9403241929083443) q[0];
rz(-pi) q[0];
ry(-0.01720215763442262) q[1];
rz(-pi) q[1];
h q[2];
ry(1.3821290800872883) q[2];
cx q[2], q[1];
ry(0.0694860038996782) q[1];
cx q[2], q[1];
ry(0.05613383548624982) q[2];
ry(0.05850050848206348) q[1];
h q[3];
ry(-1.53601897824... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"IZIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-0.5
] | 0.996279 | [
-1.536018978243284,
-1.632424008860247,
-1.484108165260796,
1.351841337460216,
1.3821290800872883,
-0.1389720077993564,
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0.11226767097249964,
0.06281983496563942,
0.009137857048212211,
0.11700101696412696,
0.06302910739104162,
0.030614649874232056,
0.05044832124532061... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
b93e7e87e2621c92c7ba04b041c49bf3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [116, 117], "expectation_value": -1.0769173287332159, "params": [0.2879, 0.7727, 0.9962000000000001, 0.2554, 1.0958, -0.13290000000000002, 1.1023, -0.1874, 0.2696, -0.43810000000000004, 1.093, -0.3647, 0.6948000000000001, -0.4025, 0.8912, -0.1159, 0.2768, 0.0097, 0.9549000000000001, 0.0051, 1.0907, 0.0045000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100001", "01001100", "10001010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.18095492688154305) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.18095492688154305) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.18095492688154305) q[2];
cx q[3], q[2];
rz(0.8074839178710835) q[3];
rx(1.411180127000671) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IIZIZIIZ",
"IZIIIIZI",
"ZIIIIIZI",
"ZZIIIIII",
"ZZIIIIZI",
"ZIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.25,
0,
0,
-0.25,
0,
0,
-0.25
] | 0.923411 | [
-0.18095492688154305,
0.8074839178710835,
-0.9410650216682992,
1.4111801270006712,
-0.7361957294362335,
0.4420026896995149,
0.28479132416285424,
1.0392592742276436,
-0.5347775873994031,
1.322723886363652,
-1.2976651434758002,
0.9340766908427282,
-0.730793540399182,
0.9791307353720787,
-1... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 419 |
f6bf9eb78e416e542b1aca1ba9154b7e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [264, 280], "expectation_value": -7.833634383276386, "params": [0.3045, 0.30160000000000003, 0.0716, 0.07300000000000001, 0.0048000000000000004, -0.0035, 0.004, -0.0001, 0.2541, 0.26130000000000003, 0.30560000000000004, 0.3017, -0.006200000000000001, -0.006500000000000001, 0.13, 0.1306, -0.0063, 0.0021000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 13 | 9 | 4 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["101110101", "101100111", "011100111", "011110101"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.1762944358779652) q[0];
rz(pi/2) q[0];
ry(1.0210033296743881) q[1];
ry(-0.04245120006854196) q[2];
ry(-0.10642861075853652) q[3];
ry(1.5211800549064285) q[4];
ry(0.3452995687761321) q[5];
ry(-0.2148488319595548) q[6];
ry(-0.12260275244475874) q[7];
ry(-0.379358840... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIIIZZI",
"ZIIIIIZII",
"IIIIZZIII",
"IIIIZIZII",
"ZIIZIIIII",
"IIIZIIZII",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZZIIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2,
-2.5,
-2.5,
-1.5,
-1,
-1.5,
-2
] | 0.978307 | [
-0.1762944358779652,
1.0210033296743881,
-0.04245120006854196,
-0.10642861075853652,
1.5211800549064285,
0.3452995687761321,
-0.2148488319595548,
-0.12260275244475874,
-0.3793588401635318,
-0.013180258496116787,
0.13817178198278263,
-0.2035986289367586,
0.11205008520327944,
0.2593191598357... | {
"n_parameters": 67,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 30 |
9b6c90aee56ab84919f7c826e678a024 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [21, 35], "expectation_value": -0.009705840756964072, "params": [[-0.025400000000000002], [0.0374]], "bitstrings": ["101010", "011100"], "total_optimization_steps": 10, "probabilities": [0.015863245376941372, 0.015863245376941375], "optimization_time": 3.358464002609253} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(2) @ Z(5)) + 0.12... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.375, "smallest_bitstrings": ["101010", "011010", "011100"], "largest_eigenvalue": 4.625} | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[4], q[3];
rz(x0) q[3];
c... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZZIII",
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"IIZZII",
"ZIIZII",
"ZIZIII",
"IIZZIZ",
"ZIIZIZ",
"ZIZIIZ",
"ZIZZII",
"ZIZZIZ",
"IZIIZI",
"ZIIIZI",
"ZZIIII",
"ZZIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.125,
-0.25,
-0.625,
-0.125,
-0.25,
0.125
] | 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 |
-5577041213901454525 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 1], [2, 3], [1, 2], [0, 2]]} | {"states": [9, 10], "expectation_value": -0.04425796396708198, "params": [[-0.07390000000000001], [0.0767]], "bitstrings": ["0110", "0101"], "total_optimization_steps": 10, "probabilities": [0.0653065974811092, 0.0653065974811092], "optimization_time": 0.35089564323425293} | 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... | 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[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 q[2], q[3];
rz(x0) q[3];
cx q[2], q[... | null | {"circuits": [], "gradients": []} | [
"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 |
4946e454142c93c5583bc755c8a6c4bb | 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": [1768, 1736], "expectation_value": -126.00022100101015, "params": [0.0057, 0.3652, 0.7031000000000001, 0.0004, 0.7019000000000001, 0.0999, 0.1003, 0.3052, 0.6923, 0.01, 0.6985, -0.06570000000000001, 0.3754, -0.1438, 0.0978, 0.33290000000000003, 0.7006, 0.008, -0.0026000000000000003, 0.5239, 0.0086, 0.2380000... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(3)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(0) @ Z(5)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(7) @ Z(1)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(10) @ Z(2)) + 7.5 * (Z(11) @ Z(4)) + 0.5 * Z(3) + 16.5 * Z(2) + 13.0 * Z(1) + 15.5 * Z(5) +... | 18 | 12 | 4 | {"smallest_eigenvalues": [-142.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.5, "smallest_bitstrings": ["100100110111"], "largest_eigenvalue": 161.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.04849336498671248) q[0];
rz(0.6151386634151716) q[0];
rx(0.6149206149088422) q[1];
rz(-0.06114710475747351) q[1];
rx(0.901529791715948) q[2];
rz(0.17123892600103502) q[2];
rx(-0.02310339663889216) q[3];
rz(0.26737416949696907) q[3];
rx(0.8034122688370078) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZII",
"IIIIIIIIZIZI",
"IIIIIIIIIZZI",
"IIIIIIZIIIIZ",
"IIIIIZZIIIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIZIZIIIIII",
"IIIIZIIIIIZI",
"IIIZZIIIIIII",
"IZIIIIIIIZII",
"ZIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIZIIIII",
"IIIIIIIIIIIZ",
"IIIIIZIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
0.5,
16.5,
13,
15.5,
-5.5,
10.5,
13,
7,
0.5,
-5.5,
-6,
-12
] | 0.972849 | [
-0.04849336498671248,
0.4741256965713351,
0.6149206149088422,
-0.06114710475747351,
0.901529791715948,
0.17123892600103502,
-0.02310339663889216,
0.26737416949696907,
0.8034122688370078,
-0.05464768976742686,
0.8307250868502088,
0.013113563285698142,
0.14357581647123657,
-0.462789827322958... | {
"n_parameters": 137,
"n_qubits": 12,
"optimal_eigenvalue": -142.5,
"target_ratio": 0.97,
"target_value": -138.225
} | 5 |
-6132195591121548321 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 6], [0, 1, 3, 4], [1, 4, 5], [1, 2, 3]]} | {"states": [86, 94], "expectation_value": -0.8735335890173614, "params": [[[2.6966, 0.0016], [1.5296, 0.0058000000000000005], [2.6637, 0.0091], [1.608, 0.008], [2.6397, 0.0009000000000000001], [2.5888, 0.0047], [0.4811, 0.007200000000000001]]], "bitstrings": ["0101001", "0100001"], "total_optimization_steps": 270, "pro... | 0.5 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.25 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4166666666666665, "smallest_bitstrings": ["0100001"], "largest_eigenvalue": 3.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(3.3571495468187273) q[0];
rz(-1.185893911414433) q[0];
rx(0.10534248943022564) q[1];
rz(-0.3129620468390992) q[1];
rx(3.0567096996659373) q[2];
rz(-0.22380743469672998) q[2];
rx(3.0364835492110793) q[3];
rz(0.6681008338624962) q[3];
rx(3.2066747667133937) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZ",
"IIIIIZZ",
"IIIZIIZ",
"IIIZIZI",
"IIZIIIZ",
"IIZIIZI",
"IIZZIII",
"IZIIIZI",
"IZZIIII",
"IIIIZZI",
"IIIZZII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIZII"
] | [
0.5,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0.1250000000000001,
0.45833333333333326,
0.29166666666666663,
0.29166666666666663,
0.16666666666... | 0.982667 | [
3.3571495468187273,
-1.185893911414433,
0.10534248943022564,
-0.3129620468390992,
3.0567096996659373,
-0.22380743469672998,
3.0364835492110793,
0.6681008338624962,
3.2066747667133937,
0.46336584023991056,
3.1362341588706992,
0.16052461889699202,
-0.17299448304032655,
-0.4387547650786235
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -1.416666666666667,
"target_ratio": 0.97,
"target_value": -1.374166666666667
} | 19 |
d84f9d44a9dfbf26b97835693b75dc35 | 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": 7, "source": 0, "target": 2}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4... | {"states": [74, 11], "expectation_value": -10.911873809313136, "params": null, "bitstrings": ["0110101", "1110100"], "total_optimization_steps": 42, "probabilities": [0.060939195303113376, 0.804994725968748], "optimization_time": 30.857486486434937} | -1.75 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * Z(2) + -0.25 * Z(0) + 1.0 * Z(1) + 0.5 * Z(3) + -0.75 * Z(4) + 0.75 * Z(6) + 0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["1110100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0544957536205479) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.5557826562327215) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(-0.0032907376431637395) q[3];
cx q[1], q[3];
h q[4];
cx q[2], q[4];
rz(-0.5557826562327215) q[4];
cx... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"IIZIZII",
"IIZIIZI",
"ZIIIIIZ",
"ZIIZIII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
-1.75,
-1.5,
-0.25,
-1.5,
-0.75,
2,
-1.25,
-0.5,
-1.75,
-0.25,
1,
0.5,
-0.75,
0.75,
0.5
] | 0.970515 | [
-0.0544957536205479,
-0.5557826562327215,
-0.0032907376431637395,
0.299953952003397,
0.05659349816966682,
-0.066347426645714,
-0.027618368665391912,
0.24420021272805226,
-1.0163539925721223,
0.3888089131107649,
-1.3118888107954043,
0.3953896828377394,
-0.4523545525544179,
0.702687476802465... | {
"n_parameters": 44,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 168 |
2133bfe2f16c389d56b638843cb4baa9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [3819, 3307], "expectation_value": -1.37385540247881, "params": [1.097, 0.303, 0.9997, 0.34240000000000004, 0.7513000000000001, 0.30410000000000004, 0.36410000000000003, 0.3552, 1.1081, 0.0315, 1.1032, -0.0048000000000000004, 1.0996000000000001, 0.2106, 0.4434, 0.7586, 1.0909, 0.41300000000000003, 0.3552, -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(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 18 | 12 | 2 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 25, "first_excited_energy": -2.687... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.6938330333533728) q[0];
rz(0.04340559251346532) q[0];
rx(1.6190866722227788) q[1];
rz(0.21822482084000655) q[1];
rx(0.07953552909807407) q[2];
rz(0.21033886300905133) q[2];
rx(0.12141305027050656) q[3];
rz(-0.14075848719450382) q[3];
rx(1.8353493747793987) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIIZZZIII",
"IIIIIZIZZIII",
"IIIIIZZIZIII",
"IIIIIZZZIIII",
"IIIIIZZZZIII",
"IIIZZIIIIIII",
"IIZIIIIIZIII",
"IIIIIIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
... | 0.977452 | [
0.6938330333533727,
0.10444868899735549,
1.6190866722227788,
0.21822482084000655,
0.07953552909807407,
0.21033886300905133,
0.12141305027050656,
-0.14075848719450382,
1.8353493747793987,
-0.03682289945513749,
1.0826367777520747,
-0.06294569381583645,
1.851622855274523,
0.24598983421835321,... | {
"n_parameters": 67,
"n_qubits": 12,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 61 |
93141c357d164fcf2a36ba666f8f01e3 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [1, 8], "expectation_value": -9.567863056373476, "params": null, "bitstrings": ["1110", "0111"], "total_optimization_steps": 18, "probabilities": [0.26405862346310693, 0.6224927337877648], "optimization_time": 8.55350661277771} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + -4.75 * Z(1) + -4.5 * Z(0) + -4.75 * Z(2) + -4.5 * Z(3) | 6 | 4 | 3 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1110", "0111"], "largest_eigenvalue": 29.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-0.5729) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
-4.75,
-4.5,
-4.75,
-4.5
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
4788755b9046cb997ec5043a21f8c9e6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 13, "source": 0, "target": 4}, {"weight": 17, "source": 1, "tar... | {"states": [252, 236], "expectation_value": -14.909494264574652, "params": [[-0.0233], [0.07880000000000001]], "bitstrings": ["100000011", "100010011"], "total_optimization_steps": 10, "probabilities": [0.0034473441829595214, 0.00396267238173566], "optimization_time": 2.2678232192993164} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 192.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03403160597780367) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.03403160597780367) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.03403160597780367) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-0.03403160597780367) q[3];
cx 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[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[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
5,
24.5,
22,
23,
5,
20.5,
9.5,
-4
] | 0.973244 | [
-0.03403160597780367,
-1.346127074484193,
1.576569062334897,
-1.9306515494972587,
-1.6352730170387917,
-1.6057071926812976,
-1.665909739693592,
1.224431153956964,
1.726462556839075,
1.4983459587508987
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -98,
"target_ratio": 0.97,
"target_value": -95.06
} | 40 |
00c47f772e828bc0d4453cbe4002ef93 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 6}, ... | {"states": [338, 341], "expectation_value": -2.782452038972613, "params": [[[0.6484, 0.12050000000000001, 0.006, 0.003], [0.28, 0.08660000000000001, 1.0174, -0.0188], [0.06960000000000001, 0.2927, -0.0523, 0.036500000000000005], [0.08080000000000001, 0.001, 0.2417, 0.0025], [0.0012000000000000001, -0.2301, -0.019700000... | 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)) + 0.5 * (Z(3) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(0) @ Z(6) @ Z(7)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(8) @ Z(1)) + 0.12... | 11 | 9 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.375, "smallest_bitstrings": ["010011010", "100101001", "100011010", "101011000", "010101010", "100011001", "001011010", "001011100", "001101100"], "largest_e... | 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"IZZIIIIIZ",
"IIIIZIIZI",
"IIZIIIIZI",
"ZIIIIIIZI",
"IIZIZIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIZIZIIZI",
"ZIIIZIIZI",
"ZIZIIIIZI",
"ZIZIZIIII",
"ZIZIZIIZI",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0,
0.125,
0,
-0.125,
-0.5,
-1,
0.125,
0,
0.125
] | 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 |
c5b30b94cad3afd2b2d3cf8b55cce16a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [3, 7], "expectation_value": -15.951787837743979, "params": [-0.0001, 0.6297, -0.0085, 0.7968000000000001, -0.0016, 1.1979, 0.0013000000000000002, 1.3271000000000002, -0.0028, 1.2422, 0.5506, 0.35300000000000004, 1.5241, -0.1018, 1.0091, -0.0011, -0.0053, 0.48450000000000004, -0.0016, 1.3498, -0.000600000000... | -0.75 * (Z(0) @ Z(1)) + -2.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.75 * (Z(7) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.25 * (Z(3... | 3 | 8 | 3 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["11111000", "11101000"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.03992472608385109) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00269159676729528) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.012002982498467882) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.03992472608385109) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIZIIIII",
"IZIZIIII",
"ZZIIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII"
] | [
-0.75,
-2.75,
-0.5,
-0.75,
-1.5,
-1.75,
-0.25,
-0.25,
2.25,
-0.25,
-1.75,
-1.25,
-1.5,
-1.25,
-2.25,
-0.25,
-2,
0,
3,
-1.25,
4,
-1.25
] | 0.704523 | [
-0.03992472608385109,
-0.00269159676729528,
0.012002982498467882,
-0.027140045216093485,
0.025484428609887977,
0.1802066675376493,
1.9968684935125172,
-0.20796776869104522,
-1.5713798940041483,
-1.5612242179332285,
-0.06687445425594916,
1.6319185724475551,
1.523682567149112,
-1.28080419968... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 344 |
6052da03cec196c95902be9b99aa618e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [549, 551], "expectation_value": -118.30408426801034, "params": [[[1.4736, 0.0014], [1.499, -0.0012000000000000001], [-0.015700000000000002, 0.049600000000000005], [-0.2611, 0.2313], [-0.016900000000000002, -0.059300000000000005], [1.0924, 1.3049000000000002], [-0.0198, 1.2048], [-0.8328, 0.4907], [0.0123, 1... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(5) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(3) @ Z(8)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(10) @ Z(1)) + 7.5 * (Z(10) @ Z(5)) + 7.5 * (Z(10) @ Z(6)) + 7.5 * (Z(10) @ Z(9)) + -7.0 * Z(2) + 21.0 * Z(1) + 25.0 * Z(5) + -6.5 * Z(4... | 15 | 11 | 2 | {"smallest_eigenvalues": [-134.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -125.0, "smallest_bitstrings": ["10111011000"], "largest_eigenvalue": 216.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.7303911753436478) q[0];
ry(1.6393856031695226) q[1];
ry(-0.07307078056762308) q[2];
ry(-0.16295064616772564) q[3];
ry(-0.10728808172499915) q[4];
ry(1.2853483766204055) q[5];
ry(-0.06767159998542889) q[6];
ry(-0.131144900568203) q[7];
ry(0.20363070047399445) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"IIZIIIIZIII",
"IZZIIIIIIII",
"IZIIIIIZIII",
"ZIIIIIIIIZI",
"ZIIIIZIIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IIIIIIIZI... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-7,
21,
25,
-6.5,
12.5,
9.5,
4.5,
17,
24.5,
-14.5,
-11
] | 0.972175 | [
1.7303911753436478,
1.6393856031695226,
-0.07307078056762308,
-0.16295064616772564,
-0.10728808172499915,
1.2853483766204055,
-0.06767159998542889,
-0.131144900568203,
0.20363070047399445,
-0.02676862627662608,
-0.30564945029830726,
-0.0724663040613385,
0.05520427794508252,
-0.007538265342... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -134,
"target_ratio": 0.97,
"target_value": -129.98
} | 30 |
5226547862217704128 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5, 7], [4, 5], [1, 3, 4, 6], [2, 5], [0, 3, 4], [1, 3, 5, 6, 7], [0, 1, 3], [0, 3, 7], [1, 2, 6]]} | {"states": [150, 233], "expectation_value": -0.0560509376230035, "params": [[-0.0504], [0.061700000000000005]], "bitstrings": ["01101001", "00010110"], "total_optimization_steps": 10, "probabilities": [0.0041420306753274985, 0.004148901959827211], "optimization_time": 2.74055552482605} | 0.16666666666666666 * (Z(0) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.05 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.05 * (Z(1) @ Z(7)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.05 * (Z(3) @ Z(5)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7833333333333337, "smallest_bitstrings": ["00010110"], "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];
cx q[5], q[0];
rz(-0.07285334861907816) q[0];
cx q[5], q[0];
h q[6];
h q[7];
cx q[5], q[7];
rz(-1.4847764124457876e-07) q[7];
cx q[5], q[7];
cx q[0], q[7];
cx q[5], q[4];
rz(-0.002639969149851433) q[4];
cx q[5], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"ZIZIIIII",
"ZIIIIIIZ",
"IIZZIIII",
"IIIZIIIZ",
"IIZIIIZI",
"IIIIIIZZ",
"ZIIIIIZI",
"IIIZIIZI",
"IIZIZIII",
"IIIIZIIZ",
"ZIIIZIII",
"IIIZZIII",
"IIIIZIZI",
"IZZIIIII",
"ZZIIIIII",
"IZIZIIII",
"IZIIIIZI",
"IZIIZIII",
"IIZIIZII",
"IIIIIZZI",
"IZIIIZII",
"IIZIIII... | [
0.16666666666666666,
0.21666666666666667,
0.3333333333333333,
0.5,
0.16666666666666666,
0.05,
0.16666666666666666,
0.05,
0.08333333333333333,
0.05,
0.5,
0.21666666666666667,
0.25,
0.3,
0.05,
0.05,
0.08333333333333333,
0.3,
0.13333333333333333,
0.5,
0.16666666666666666,
0.16... | 0.869033 | [
-0.07285334861907816,
-1.4847764124457876e-7,
-5.095975132390801e-7,
-0.002639969149851433,
0.000001950733850046301,
2.69705810176693e-7,
-1.36797665476515e-8,
0.000008269131269060846,
-0.000001342462493175658,
1.5706461123399524,
-1.5703916454561577,
-1.5707962045374857,
-1.5706614358980127... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -2.833333333333333,
"target_ratio": 0.97,
"target_value": -2.748333333333333
} | 443 |
2312028216139008656 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 4, 6, 8, 9, 11, 12], [0, 4, 6, 7, 9, 12], [10, 3, 6], [1, 2], [0, 3, 5, 6, 11, 12], [0, 1, 3, 4, 5, 9], [0, 2, 5, 9, 11], [2, 10, 4], [0, 2, 3, 6, 8, 9, 12], [2, 3, 5, 8, 10, 11], [8, 3, 7], [0, 1, 10, 5], [9, 11, 7], [1, 4, 5, 8, 10, 12], [8, 9, ... | {"states": [6106, 6104], "expectation_value": -5.931711728222838, "params": [1.5725, 1.5728, -0.0182, 0.0216, 1.5690000000000002, 1.5772000000000002, 3.0923000000000003, 0.0524, 0.3771, 2.7557, 2.7287000000000003, 0.3851, 1.4201000000000001, 1.6708, -1.2293, 1.2275, 1.6079, 1.5388000000000002, 3.141, 0.0046, 3.1381, 0.... | 0.2238095238095238 * (Z(0) @ Z(4)) + 0.09047619047619047 * (Z(6) @ Z(4)) + 0.21428571428571427 * (Z(6) @ Z(0)) + 0.10714285714285715 * (Z(8) @ Z(4)) + 0.2976190476190476 * (Z(8) @ Z(0)) + 0.16428571428571426 * (Z(8) @ Z(6)) + 0.42380952380952375 * (Z(9) @ Z(4)) + 0.28095238095238095 * (Z(9) @ Z(0)) + 0.1976190476190475... | 14 | 13 | 1 | {"smallest_eigenvalues": [-5.966666666666669], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.966666666666667, "smallest_bitstrings": ["0100000100111"], "largest_eigenvalue": 26.499999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.4671084776494754) q[0];
rz(pi/2) q[0];
ry(-0.034925161705903277) q[1];
ry(1.4828749543757187) q[2];
ry(3.0563396283623456) q[3];
ry(0.41759436120724486) q[4];
ry(2.7339018874038308) q[5];
ry(1.5305383857484918) q[6];
ry(-1.0736974953358924) q[7];
ry(1.614434590750... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIIIIZIIIZ",
"IIIIIIZIZIIII",
"IIIIIIZIIIIIZ",
"IIIIZIIIZIIII",
"IIIIZIIIIIIIZ",
"IIIIZIZIIIIII",
"IIIZIIIIZIIII",
"IIIZIIIIIIIIZ",
"IIIZIIZIIIIII",
"IIIZZIIIIIIII",
"IZIIIIIIZIIII",
"IZIIIIIIIIIIZ",
"IZIIIIZIIIIII",
"IZIIZIIIIIIII",
"IZIZIIIIIIIII",
"ZIIIIIIIZIIII",
"ZIIIIIIIIII... | [
0.2238095238095238,
0.09047619047619047,
0.21428571428571427,
0.10714285714285715,
0.2976190476190476,
0.16428571428571426,
0.42380952380952375,
0.28095238095238095,
0.19761904761904758,
0.21428571428571425,
0.05714285714285714,
0.2238095238095238,
0.09047619047619047,
0.14047619047619048,... | 0.985524 | [
1.4671084776494754,
-0.034925161705903277,
1.4828749543757187,
3.0563396283623456,
0.41759436120724486,
2.7339018874038308,
1.5305383857484918,
-1.0736974953358924,
1.6144345907501678,
3.1527094790039967,
3.1553882189801223,
0.6841766079623302,
0.5675603006441724,
1.5321402296291413,
0.1... | {
"n_parameters": 52,
"n_qubits": 13,
"optimal_eigenvalue": -5.966666666666669,
"target_ratio": 0.97,
"target_value": -5.787666666666668
} | 1 |
fb8dcd1d9662770600b2a58ea2467525 | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": ... | {"states": [483, 995], "expectation_value": -14.527340361617462, "params": null, "bitstrings": ["1000011100", "0000011100"], "total_optimization_steps": 100, "probabilities": [0.1434783289437488, 0.3899308582638887], "optimization_time": 248.59877943992615} | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + 0.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["0000011100"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.6353282470761566) q[0];
h q[1];
ry(0.48202024338140065) q[1];
h q[2];
ry(0.48202024338140065) q[2];
h q[3];
h q[4];
ry(0.48202024338140065) q[4];
cx q[3], q[4];
ry(-0.48202024338140065) q[4];
cx q[3], q[4];
cx q[4], q[1];
ry(-0.48202024338140065) q[1];
cx ... | null | {"node": 8} | {"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[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII"... | [
-2.5,
1,
-2.5,
-2,
-2.5,
1,
-2.5,
1.5,
-2.5,
-2.5,
-2,
0.5,
-2,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
1,
0.5,
0.5
] | 0.970463 | [
0.9640404867628013,
-0.8121385305358959,
1.2706564941523133,
-1.3592044108300665,
0.32657958013134786,
0.007523817799481261,
1.9567640627456626,
-0.006546067366100743,
0.14553509167121856,
-1.257435337135376,
-1.0252237917264864,
0.2938862700762499,
0.08184232049459958,
-0.4930600903030048... | {
"n_parameters": 59,
"n_qubits": 10,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 310 |
88d08310cecbc7a3e83627c144340291 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [90, 86], "expectation_value": -5.999899063456077, "params": null, "bitstrings": ["0100101", "0101001"], "total_optimization_steps": 35, "probabilities": [1.641445749112797e-05, 0.9999303761353546], "optimization_time": 38.9622917175293} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(6) + -0.5 * Z(2) + -1.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0101001"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-2.9786226600788224) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.5862529058258308) q[1];
ry(-3.0772749082534916) q[2];
rz(-pi) q[2];
ry(-0.09588909131010206) q[3];
rz(-pi) q[3];
h q[4];
ry(1.363189241285378) q[4];
cx q[4], q[3];
ry(0.016943517083634098) q[3];
cx q[4], q[3];
ry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"ZIIIZII",
"IIZIIZI",
"IIZZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-2,
-0.5,
-1,
0
] | 0.997697 | [
-1.5862529058258308,
-1.4579637184011605,
1.5122669325225266,
1.363189241285378,
-0.033887034167268196,
0.08927418399709541,
0.2053114497415538,
-0.011576702127863644,
-0.023112710619505164,
-0.019905775115862053,
-0.055608789341867165
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 1 |
-4185941427110875677 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 5], [0, 3, 4], [1, 2, 3], [2, 4, 6], [0, 1, 5], [2, 3, 6], [1, 4, 6], [0, 2, 4], [3, 5]]} | {"states": [105, 54], "expectation_value": -0.08131540006257337, "params": [[-0.0577], [0.0711]], "bitstrings": ["0010110", "1001001"], "total_optimization_steps": 10, "probabilities": [0.008329022693391055, 0.008375531442499924], "optimization_time": 2.4930214881896973} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) +... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.4999999999999996, -2.4999999999999996], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["0000110", "1001001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.3161192129353312) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.06009521642530251) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[3];
rz(-0.3161192129353312) q[3];
cx q[2], q[3];
cx q[2], q[4];
rz(-0.31611... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(x1) q[5];
cx q[2], q[5]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"IIIZZII",
"IIIZIIZ",
"IZIZIII",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIIIIZZ",
"IZIIIZI",
"IIIZIZI",
"IIZIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"ZII... | [
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333... | 0.622653 | [
-0.3161192129353312,
-0.06009521642530251,
-0.872922080354584,
-0.5698131942783741,
-0.7377336138622544,
0.7757429685026486
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -2.4999999999999996,
"target_ratio": 0.97,
"target_value": -2.4249999999999994
} | 144 |
ae6952b9988373e57f20a6b97ac5f790 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.25123208522308826, "params": [[-0.2813], [0.2777]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 30, "probabilities": [3.969135160098422e-05, 3.9691351600984225e-05], "optimization_time": 16.648017406463623} | 0.25 * (Z(0) @ Z(1)) + -0.0009259259259259261 * (Z(2) @ Z(0)) + -0.0009259259259259261 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0011574074074074073 * (Z(4) @ Z(0)) + 0.00015432098765432098 * (Z(4) @ Z(2)) + -0.0011574074074074073 * (Z(5) @ Z(1)) + 0.00015432098765432098 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0219135802468475], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021913580246846, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.0191358024691177} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.6176746439428564) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.04711237280899161) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.04711237280899161) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.6176746439428564) q[3];
cx q[2], 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[16] c;
qubit[16... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0009259259259259261,
-0.0009259259259259261,
0.25,
-0.0011574074074074073,
0.00015432098765432098,
-0.0011574074074074073,
0.00015432098765432098,
0.25,
-0.0011574074074074073,
0.00015432098765432098,
0.00007716049382716049,
-0.0011574074074074073,
0.00015432098765432098,
0.0000... | 0.975031 | [
-1.6176746439428564,
-0.04711237280899161,
0.08810742527228285,
-0.038627748482055885,
0.014814599547731448,
0.025645320525221393,
-0.10602541466117812,
-0.004575058381305383,
-0.012297832330355422,
0.012252411692538046,
0.060602236155230776,
-0.011090898599481439,
0.7905857965648304
] | {
"n_parameters": 13,
"n_qubits": 16,
"optimal_eigenvalue": -2.0219135802468475,
"target_ratio": 0.97,
"target_value": -1.961256172839442
} | 31 |
6632099811496938244 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3], [0, 2], [0, 4], [0, 1], [2, 4]]} | {"states": [11, 15], "expectation_value": -1.3072105569807377, "params": null, "bitstrings": ["10100", "10000"], "total_optimization_steps": 29, "probabilities": [0.3778346803498109, 0.44546554825518137], "optimization_time": 17.48197078704834} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.5, "smallest_bitstrings": ["10000", "10001", "10100", "01111", "01110", "01011"], "largest_eigenvalue": 2.5} | 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(0.6686571673948385) q[0];
cx q[3], q[0];
cx q[0], q[2];
rz(0.6686571673948385) q[2];
cx q[0], q[2];
rz(1.8235326137983066e-08) q[3];
rx(-0.6888034531496897) q[3];
h q[4];
cx q[0], q[4];
rz(0.6686571673948385) q[4];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"IZIIZ",
"IIZIZ",
"ZIIIZ",
"ZIZII",
"IIIZZ",
"IZIII",
"IIIIZ",
"IIZII",
"ZIIII",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.601516 | [
0.6686571673948385,
1.8235326069356357e-8,
-0.6888034531496897
] | {
"n_parameters": 3,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 105 |
1f23f56a04769f9cdd600dad843f0e42 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 8}, {"source": 2, "target": 7}, {"sour... | {"states": [0, 308], "expectation_value": -2.808519422023717, "params": [0.6014, 0.00030000000000000003, 0.5958, 0.006500000000000001, 0.6039, 0.0011, 0.5272, 0.0041, 0.601, 0.0021000000000000003, 0.39730000000000004, 0.008, 0.602, 0.0001, 0.6077, 0.0089, 0.6084, 0.0067, 0.6064, 0.0077, 0.5855, -0.0029000000000000002, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(2) + -1.5 * Z(8) + -1.0 * Z... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.0, "smallest_bitstrings": ["101001101", "101010101", "101010011", "101001011", "010101011", "011001101", "011001011"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.339835102180156) q[0];
rz(1.587008908640989) q[0];
rx(0.373980491426296) q[1];
rz(1.4530994068527257) q[1];
rx(0.6919166271737555) q[2];
rz(1.3693179209352637) q[2];
rx(1.5459110840480614) q[3];
rz(1.7635408038596116) q[3];
rx(1.4795221901660052) q[4];
rz(1.4545744... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIIIZ",
"IIIIIIZZI",
"ZIIIIIIZI",
"IZIIIIZII",
"ZZIIIIIII",
"IIIIIZZII",
"IIIZZIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII"
] | [
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,
-0.5,
-1,
-1.5,
-1,
0,
-0.5,
-0.5
] | 0.974045 | [
2.339835102180156,
0.016212581846093047,
0.37398049142629597,
-0.11769691994217034,
0.6919166271737556,
-0.2014784058596328,
1.5459110840480617,
0.19274447706471504,
1.4795221901660052,
-0.1162218945486567,
-0.011785869578685208,
-0.38759063384221315,
2.3539851893241215,
-0.258424769156823... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 96 |
1a9ed9a666e19120fea8169482f67ae7 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 7}, {"weight": 15, "source": 1, "target": 6}, {"weight": 19, "source": 1, "tar... | {"states": [246, 244], "expectation_value": -28.505823479861604, "params": [[0.0284, 0.00030000000000000003, -0.0094], [-0.08370000000000001, -0.060200000000000004, -0.0458]], "bitstrings": ["100001001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.007316588846269126, 0.008968739998067549], "optimi... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 173.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.033035796970138795) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.033035796970138795) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.033035796970138795) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.033035796970138795) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIIZII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIZII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11,
12,
16.5,
22.5,
23,
2.5,
12.5,
0.5,
5
] | 0.970316 | [
0.033035796970138795,
1.1743107495162832,
-0.1865339965274806,
1.266112264251784,
1.5779903775454862,
1.4155310904505956,
-0.6418863950380682,
2.0839555776890832,
-1.4659964772380958,
-0.6930579571127811,
-0.7424560734937793,
0.02330903431462893,
0.16407577822374453,
-0.13813935710762676,
... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -88,
"target_ratio": 0.97,
"target_value": -85.36
} | 67 |
7bc4dde9a09d0b94c5097b219891d81a | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [1949, 3485], "expectation_value": -6.93067462346183, "params": null, "bitstrings": ["100001100010", "001001100010"], "total_optimization_steps": 100, "probabilities": [0.060871614420582795, 0.8703448869995719], "optimization_time": 272.1114590167999} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * ... | 1 | 12 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -6.0, "smallest_bitstrings": ["010010100001", "010001010100", "010010001100", "001100001010", "010100010001", "001001100010", "001010001100", "100001100010", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5706) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIIIIZIII",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIZIIII",
"IZIIZIIIIIII",
"IZIIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25
] | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
3ab147cc948c972495cc9d6b1a04d6d2 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [52, 37], "expectation_value": -1.0076866512582925, "params": [[0.0613, 0.0737, 0.0762, 0.0609], [-0.031400000000000004, -0.0574, -0.0703, -0.059800000000000006]], "bitstrings": ["001011", "011010"], "total_optimization_steps": 10, "probabilities": [0.028714038657730933, 0.02871403865773094], "optimization_t... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "000111", "010110", "001011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.2617382474824059) q[0];
rz(-0.25556683543857517) q[0];
rx(3.2549553359388126) q[1];
rz(-0.1904150377377148) q[1];
rx(0.11533762007237594) q[2];
rz(0.15040563274986068) q[2];
rx(-0.11428203016202747) q[3];
rz(0.06697334278189641) q[3];
rx(3.1542430010311207) 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]... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"ZZIIII",
"ZIIIZI",
"IZIZII",
"IZZIII",
"IIZZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.977185 | [
-0.2617382474824059,
-0.33943598223353566,
3.2549553359388126,
-0.1904150377377148,
0.11533762007237594,
0.15040563274986068,
-0.11428203016202747,
0.06697334278189641,
3.1542430010311207,
0.320444768261287,
3.301363365899691,
-0.4991032485906577,
3.212741703886446,
-0.18414658324060862,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 28 |
1774d518c6986074d5b1212d079483af | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [125, 93], "expectation_value": -22.678247752947303, "params": [1.1259000000000001, 0.003, 2.1104000000000003, 0.0025, 1.4774, 0.0095, 2.0983, 0.006900000000000001, 2.0942000000000003, 0.0073, 2.1096, 0.0027, 1.4101000000000001, 0.0037, 2.1071, 0.0024000000000000002, 0.0017000000000000001, 0.0045000000000000... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(6) @ Z(7)) + 6.5 * Z(1) + 0.5 * Z(0) + 13.5 * Z(3) + 6.5 * Z(4) + 2.5 * Z(2) + 11.5 * Z(5) + 9.0 * Z(7) + 2.0 * Z(6) | 18 | 8 | 1 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.0, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 106.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.07993385476270441) q[0];
rz(0.02655102372960849) q[0];
rx(2.952804200071924) q[1];
rz(-1.0499788265524272) q[1];
rx(-0.07269453299388055) q[2];
rz(0.21477816572276723) q[2];
rx(3.4269042564809538) q[3];
rz(-0.06308910230428755) q[3];
rx(3.269468998330495) 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], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIZZIII",
"IIIIZZII",
"IIIZIZII",
"IIZIIIIZ",
"ZIZIIIII",
"IZZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6.5,
0.5,
13.5,
6.5,
2.5,
11.5,
9,
2
] | 0.989064 | [
0.0799338547627044,
0.03194371247569139,
2.952804200071924,
-1.0499788265524272,
-0.07269453299388055,
0.21477816572276723,
3.4269042564809538,
-0.06308910230428755,
3.269468998330495,
0.6193913112464456,
3.231813402039956,
0.189854581007078,
-0.0918370932255142,
0.23794116406438964,
3.1... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -60,
"target_ratio": 0.97,
"target_value": -58.199999999999996
} | 20 |
-8815673483881828750 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 0, 2], [1, 5], [3, 6], [4, 5], [2, 7]]} | {"states": [212, 468], "expectation_value": -2.1241790393576885, "params": null, "bitstrings": ["100101011", "000101011"], "total_optimization_steps": 75, "probabilities": [0.042970561550578615, 0.6410793128584719], "optimization_time": 90.02734470367432} | 0.16666666666666666 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(8) + 0.16666666666666663 * Z(2) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 12, "first_excited_... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-0.42418473024225267) q[3];
h q[4];
h q[5];
ry(-0.42418473024225267) q[5];
cx q[4], q[5];
ry(0.42418473024225267) q[5];
cx q[4], q[5];
ry(-0.35698170533095985) q[5];
cx q[1], q[5];
ry(0.35698170533095985) q[5];
cx q[1], q[5];
ry(0.7901... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) 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];\n... | [
"ZIIIIIIIZ",
"IIIIIIZIZ",
"ZIIIIIZII",
"IIIZIIIZI",
"IIZIIZIII",
"IIIZZIIII",
"IZIIIIZII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IZIIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0,
0,
0,
0,
0,
0
] | 0.974636 | [
-0.8483694604845053,
0.7232989382203491,
-0.8024156890681194,
1.3659798614935017,
-0.7139634106619197,
1.5803052470019285,
0.7101539143324533,
-0.8484017443126219,
-0.30399606828485515,
0.6514055942443566,
-0.6268133616148862,
-0.20117978944727286,
-0.2777420029027342,
0.29888638353075525,... | {
"n_parameters": 60,
"n_qubits": 9,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 40 |
83676b3aaa29393ce370fb0fc32e3d5c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [5156, 5172], "expectation_value": -133.84202101545895, "params": [[0.6394000000000001, -0.0036000000000000003, 0.6321, -0.0682, -0.0088, -0.0024000000000000002, 0.2142, 0.6744, 0.6972, -0.040600000000000004, 0.6596000000000001, 0.0476, -0.0032], [0.6397, 0.0027, 0.6346, -0.0386, -0.00030000000000000003, -0.... | 8.5 * (Z(0) @ Z(1)) + 8.5 * (Z(2) @ Z(3)) + 8.5 * (Z(7) @ Z(6)) + 8.5 * (Z(8) @ Z(6)) + 8.5 * (Z(9) @ Z(0)) + 8.5 * (Z(9) @ Z(8)) + 8.5 * (Z(11) @ Z(2)) + 8.5 * (Z(10) @ Z(11)) + 8.5 * (Z(4) @ Z(10)) + 8.5 * (Z(12) @ Z(7)) + -7.0 * Z(1) + 6.5 * Z(0) + -4.5 * Z(3) + 9.5 * Z(2) + 3.0 * Z(6) + 8.0 * Z(7) + 6.0 * Z(8) + 0.... | 10 | 13 | 4 | {"smallest_eigenvalues": [-159.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -133.0, "smallest_bitstrings": ["0101111001011"], "largest_eigenvalue": 117.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.4918640876350207) q[0];
ry(-0.020313118053811495) q[1];
ry(0.5225003315856529) q[2];
ry(-0.10619944409720733) q[3];
ry(0.13025785976837487) q[4];
ry(0.04416478721567743) q[5];
ry(-0.1067303944681815) q[6];
ry(0.9659260781900977) q[7];
ry(1.0534475332414124) 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, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZZII",
"IIIIIZZIIIIII",
"IIIIZIZIIIIII",
"IIIZIIIIIIIIZ",
"IIIZZIIIIIIII",
"IZIIIIIIIIZII",
"IZZIIIIIIIIII",
"IIZIIIIIZIIII",
"ZIIIIZIIIIIII",
"IIIIIIIIIIIZI",
"IIIIIIIIIIIIZ",
"IIIIIIIIIZIII",
"IIIIIIIIIIZII",
"IIIIIIZIIIIII",
"IIIIIZIIIIIII",
"IIIIZIIIIII... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
-7,
6.5,
-4.5,
9.5,
3,
8,
6,
0.5,
0.5,
7,
-5.5,
-8,
-16
] | 0.975363 | [
0.4918640876350207,
-0.020313118053811495,
0.5225003315856529,
-0.10619944409720733,
0.13025785976837487,
0.04416478721567743,
-0.1067303944681815,
0.9659260781900977,
1.0534475332414124,
-0.003071443897829037,
0.7177048460736788,
-0.19300567026384596,
0.08617527599469446,
0.75593132646667... | {
"n_parameters": 62,
"n_qubits": 13,
"optimal_eigenvalue": -159,
"target_ratio": 0.97,
"target_value": -154.23
} | 14 |
ad8c200d44168fd8c755f46b632ccc37 | 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}, {"id": 14}, {"id": 15}, {"id": 16}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target":... | {"states": [7423, 64767], "expectation_value": -19.847688090498067, "params": [0.9141, 0.8548, -0.066, 0.06720000000000001, -0.3224, 0.14930000000000002, -1.8816000000000002, -1.2528000000000001, 0.0025, 0.0043, 1.2118, -1.2171, -0.0024000000000000002, -0.0025, 0.0035, -0.008400000000000001, 2.2181, 0.9216000000000001,... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(10)) + -1.5 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(11) @ Z(13)) + -1.5 * (Z(12) @ Z(13)) + 0.5 * (Z(12) @ Z(11)) + -1.0 * (Z(14) @ Z... | 14 | 16 | 1 | {"smallest_eigenvalues": [-21.499999999999925], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.4999999999998, "smallest_bitstrings": ["0000001100000000"], "largest_eigenvalue": 18.500000000000046} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.8028702966439683) q[0];
rz(pi/2) q[0];
ry(0.11383682389834471) q[1];
ry(-0.30748831007585) q[2];
ry(-2.0067420323812146) q[3];
ry(0.020722719465955188) q[4];
ry(1.2761344152719554) q[5];
ry(0.1214520995836386) q[6];
ry(-0.09504123810673418) q[7];
ry(2.511985981906... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIZZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIIZIZIII",
"IIIIIIIIZZIIIIII",
"IIIIIZIZIIIIIIII",
"IIIIIZZIIIIIIIII",
"IIIIIIZZIIIIIIII",
"IIZIZIIIIIIIIIII",
"IIZZIIIIIIIIIIII",
"IIIZZIIIIIIIIIII",
"ZZIIIIIIIIIIIIII",
"IIIIIII... | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.97279 | [
1.8028702966439683,
0.11383682389834471,
-0.30748831007585,
-2.0067420323812146,
0.020722719465955188,
1.2761344152719554,
0.1214520995836386,
-0.09504123810673418,
2.511985981906704,
0.04969220890815998,
-0.025932485251559265,
-1.6356803677694736,
1.5993993703772602,
-0.12307614370755393,... | {
"n_parameters": 63,
"n_qubits": 16,
"optimal_eigenvalue": -21.499999999999925,
"target_ratio": 0.97,
"target_value": -20.854999999999926
} | 27 |
5453c2513a3015ff34fdf7af0c17d479 | kclique | adaptive_vqe | {"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": [21, 7], "expectation_value": -12.49929898053237, "params": null, "bitstrings": ["1101010", "1111000"], "total_optimization_steps": 66, "probabilities": [0.10660517640631754, 0.613859001512618], "optimization_time": 93.3726658821106} | 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 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.006822705804027614) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.006822705804027614) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.006822705804027614) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.006822705804027614) q[3];
cx q[... | null | {"k": 4} | {"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(-1.4894) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"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,
2.25,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-3,
-3
] | 0.979266 | [
-0.006822705804027614,
-0.0569835674757276,
1.6413660952290756,
1.6445943010417547,
-1.210190329393257,
1.272917394365843,
0.13825878583450213,
0.06605299930301477,
-0.18109136526066744,
-0.3332332317372449,
-1.3079642609617461,
0.48354866790017953,
-0.3444589912231889,
0.9797977022594652,... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 96 |
ac36c5a153720f2afd43ce774542e80a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capaci... | {"states": [32, 31], "expectation_value": -1.3510359427413805, "params": [[-0.048, -0.006900000000000001, 0.0743], [0.0648, 0.046900000000000004, -0.044000000000000004]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.023932491073811558, 0.024254038839986364], "optimization_time... | -0.25 * (Z(0) @ Z(1)) + -2.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(3) + 2.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.05068074801498348) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.9068776481257712) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.21807639072518945) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.8389376578690388) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZZIIII",
"IIZZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
-0.25,
-2.25,
-1.5,
-2.5,
-0.75,
-1.5,
2,
-1,
-0.75,
-0.75,
-0.5,
-0.25,
-1.25,
2.5,
-0.5,
0
] | 0.672188 | [
0.05068074801498348,
-0.9068776481257712,
-0.21807639072518945,
-0.8389376578690388,
-0.5234317396873804,
1.2952058031180758,
-0.19869109614486527,
-0.03125778857127778,
-0.20889072827163999,
0.4804048469203415,
0.13591911593430336,
-0.9021481901189203
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 256 |
c5d57071b024d109c38c43678d62eaf1 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}]} | {"states": [40, 56], "expectation_value": -4.164621786324622, "params": [0.6078, 0.0058000000000000005, 0.6023000000000001, 0.008700000000000001, 0.604, 0.0045000000000000005, 0.0031000000000000003, 0.4335, -0.0004, 0.2978, 0.0029000000000000002, 0.43420000000000003, 0.6076, 0.0032, 0.6064, 0.0027, 0.6065, 0.0055000000... | 0.9 * (Z(0) @ Z(1)) + 1.8 * (Z(2) @ Z(1)) + 0.9 * (Z(2) @ Z(0)) + -0.1 * (Z(3) @ Z(4)) + -0.2 * (Z(5) @ Z(4)) + -0.1 * (Z(5) @ Z(3)) + 4.5 * Z(1) + 2.25 * Z(0) + 4.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.5 * Z(5) | 18 | 6 | 3 | {"smallest_eigenvalues": [-9.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.4, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 15.700000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.9,
1.8,
0.9,
-0.1,
-0.2,
-0.1,
4.5,
2.25,
4.5,
-0.5,
-0.25,
-0.5
] | 0.998049 | [
0.707331722307411,
1.4871712470846223,
0.8597462707622504,
-1.3799562985781975,
-1.4711756176015598,
1.541381398439436,
-1.3965271552689695,
-0.16148817852256322,
-0.2575056935640775,
0.2663957319896916,
-0.1803796305048725,
0.0016697777359003935,
-0.24197649101399368
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -9.3,
"target_ratio": 0.97,
"target_value": -9.021
} | 1 |
2037c68aca19f83c01748f0e59e08f2f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 5},... | {"states": [1788, 2044], "expectation_value": -10.187080092731895, "params": [-0.4091, 0.5013000000000001, -0.0944, 0.7652, -0.6082000000000001, 1.0532000000000001, 0.4501, 0.47240000000000004, -0.6038, 0.8776, 0.6078, 0.8583000000000001, -0.6619, 1.2171, 0.6292, 1.1445, -0.6596000000000001, 1.3880000000000001, 0.6049,... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(8)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(9) @ Z(10)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(8) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(7) + -... | 6 | 11 | 2 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["00000000000", "00000000011"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.9295506563086005) q[0];
rz(2.2807623343092303) q[0];
rx(-0.8567996128266898) q[1];
rz(3.1328596491862264) q[1];
rx(-0.2697593181754737) q[2];
rz(2.6047706566442557) q[2];
rx(-0.4650308578495124) q[3];
rz(2.623956812406524) q[3];
rx(-0.7835008226917056) q[4];
rz(3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x11;
input float[64] x12;
input float[64] x13;
inpu... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIZIIZIIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIZIIIIIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"ZIIIIIIIIII",
"IZIIIIIII... | [
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
1,
0.5,
0.5
] | 0.865269 | [
-0.9295506563086007,
0.7099660075143339,
-0.85679961282669,
1.5620633223913303,
-0.2697593181754737,
1.03397432984936,
-0.4650308578495125,
1.0531604856116272,
-0.7835008226917056,
1.5242732318561738,
-0.626126329901162,
1.2296018887015683,
0.35462332305321204,
1.9093382549555464,
0.7073... | {
"n_parameters": 107,
"n_qubits": 11,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
230a85f7f557e91b9fb34d72d2b743c5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "s... | {"states": [0, 255], "expectation_value": -22.15818078808596, "params": [[[0.0036000000000000003, -0.8033], [-0.0012000000000000001, 0.0028], [0.0021000000000000003, 0.0023], [-0.0029000000000000002, 0.0027], [0.0026000000000000003, 0.0028], [0.0026000000000000003, -0.0025], [0.0024000000000000002, 0.0025], [0.0027, 0.... | -1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(1) @ Z(4)) + -1.0 * (Z(1) @ Z(5)) + -1.75 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -1.75 * (Z(2) @ Z(1)) + -1.75 * (Z(7) @ Z(4)) + -0.75 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @... | 15 | 9 | 2 | {"smallest_eigenvalues": [-22.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 19.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.0065241278212170555) q[0];
ry(0.03645903268642048) q[1];
ry(0.005339254899856719) q[2];
ry(-0.09631638148351859) q[3];
ry(-0.005762441877164489) q[4];
ry(-0.005762441877164489) q[5];
ry(0.011886577613864099) q[6];
ry(-0.03775055591649721) q[7];
ry(-1.2792160183168... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIZZIIII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIIZII",
"IIIIIIZZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"IZIIIIIZI",
"IZIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"ZIIIIIZII",
"IIIIZZIII",
"IIZIIZIII",
"... | [
-1,
-1.25,
-0.25,
-0.5,
-1,
-0.5,
-1,
-1.75,
-2,
-1.25,
-1.75,
-1.75,
-0.75,
-2,
-1,
-1.5,
2,
-1.25,
-0.75,
-0.75,
-1,
-0.75,
-2,
-0.25,
-2.25,
-1.25,
3,
2.75,
0.5,
0,
-0.5
] | 0.97042 | [
-0.0065241278212170555,
0.03645903268642048,
0.005339254899856719,
-0.09631638148351859,
-0.005762441877164489,
0.011886577613864099,
-0.03775055591649721,
-1.279216018316887,
-0.6816103586721924,
-0.010733026496808323,
0.026301698357844263,
0.004910683737043214,
0.1250558029185784,
0.4505... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -22.75,
"target_ratio": 0.97,
"target_value": -22.0675
} | 21 |
7482541171293596401 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 5, 6], [1, 3], [3, 5, 7, 8, 9], [2, 4, 6, 7], [8, 2, 4, 6], [8, 2, 3], [0, 3], [0, 10, 2, 5], [0, 9, 10, 6], [1, 4, 5, 7], [1, 2], [8, 3, 6, 7], [0, 8, 6, 7], [0, 9, 5], [9, 2, 6, 7], [9, 10, 4, 5], [1, 6], [0, 9, 4], [8, 2, 4, 7], [3, 4], [8, 4, 6, 7]]} | {"states": [1466, 443], "expectation_value": -5.295788313231623, "params": [[[1.5682, 1.5687], [3.1668000000000003, 1.5687], [-1.5726, 1.5685], [-1.5726, 1.5728], [1.5736, 1.5683], [-1.5731000000000002, 1.5729], [1.5684, 1.5732000000000002], [-1.5736, 1.5736], [1.568, 1.5736], [1.5682, -1.5678], [1.5685, 1.5722]]], "bi... | 0.21666666666666667 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.49999999999999994 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.05 * (Z(3) @ Z(5)) + 0.3 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.13333333333333333 * (Z(7) @ Z(5)) + 0.3... | 15 | 11 | 1 | {"smallest_eigenvalues": [-5.783333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.533333333333334, "smallest_bitstrings": ["11001000100"], "largest_eigenvalue": 18.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.583848902523531) q[0];
ry(4.2256213040883654) q[1];
ry(-1.589869229194025) q[2];
ry(-1.589869229194025) q[3];
ry(1.550426495504619) q[4];
ry(-1.677433237827247) q[5];
ry(1.5638873210310604) q[6];
ry(-1.4741050730810703) q[7];
ry(1.564790657040077) q[8];
ry(1.58384... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIZIIZIIIII",
"IIIIZZIIIII",
"IIZIZIIIIII",
"IIIIIZIIIZI",
"IIIIZIIIIZI",
"IIIIIZIZIII",
"IIZIIIIZIII",
"IIIIZIIZIII",
"IIIIIIIZIZI",
"IIIZIZIIIII",
"IIZZIIIIIII",
"IIIZZIIIIII",
"IIIZIIIIIZI",
"IIIZIIIZIII",
"IZIIIZIIIII",
"IZZIIIIIIII",
"IZIIZIIIIII",
"IZIIIIIZIII",
"IZIZIIIII... | [
0.21666666666666667,
0.16666666666666666,
0.49999999999999994,
0.08333333333333333,
0.5,
0.05,
0.3,
0.08333333333333333,
0.5,
0.13333333333333333,
0.3833333333333333,
0.41666666666666663,
0.08333333333333333,
0.13333333333333333,
0.3,
0.05,
0.16666666666666666,
0.05,
0.1333333333... | 0.975225 | [
1.583848902523531,
4.2256213040883654,
-1.589869229194025,
1.550426495504619,
-1.677433237827247,
1.5638873210310604,
-1.4741050730810703,
1.564790657040077,
1.6553101529536882,
1.5779508155703232,
1.5223510794585766,
1.6134435479790403,
1.527262637876494,
1.598112693009834,
-1.759602158... | {
"n_parameters": 16,
"n_qubits": 11,
"optimal_eigenvalue": -5.783333333333334,
"target_ratio": 0.97,
"target_value": -5.609833333333334
} | 23 |
151fc38f9e9506dbe7b8d603642ed0f4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [67, 75], "expectation_value": -4.385090812309952, "params": [-0.0051, -0.4657, -0.0013000000000000002, 0.0054, 0.9014000000000001, 0.189, 0.8997, 0.0013000000000000002, 0.1681, 0.44530000000000003, 0.16190000000000002, 0.0008, -0.0011, 0.4927, -0.0016, 0.0043, 0.8839, 0.0115, 0.8712000000000001, 0.000300000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(6) + -1.0 * Z(7) + ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["10110100"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.17317600305072878) q[0];
rz(-0.42297669125496196) q[0];
rx(1.5063122064167114) q[1];
rz(0.03602670538695918) q[1];
rx(0.20610626793768225) q[2];
rz(0.2981911126797301) q[2];
rx(-0.24455030603049477) q[3];
rz(0.3563490199978947) q[3];
rx(1.6075435005564473) 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": []} | [
"IIIIIIZZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIZIIIZI",
"ZIIIIZII",
"IZIIZIII",
"ZIIIZIII",
"IIZIZIII",
"IIIIZZII",
"IIZZIIII",
"IIIZIZII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-1,
-1,
-1,
-2,
-1
] | 0.971121 | [
0.17317600305072878,
-0.23081802038115148,
1.5063122064167114,
0.004624880736318809,
0.20610626793768227,
0.3818237321859286,
-0.24455030603049477,
0.35324637133257203,
1.6075435005564471,
-0.083031024163912,
0.025915013302790522,
0.6234872124257149,
1.43858436937468,
-0.17701267924159825,... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 14 |
f20b14ccaf46fd91ed39b9c05edbe906 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 1, "target"... | {"states": [23475, 28011], "expectation_value": -0.5375318261722262, "params": [[0.0555], [-0.0772]], "bitstrings": ["010010001001100", "001001010010100"], "total_optimization_steps": 10, "probabilities": [3.8912653572341934e-05, 3.891265357234197e-05], "optimization_time": 127.55757427215576} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 5 | 15 | 1 | {"smallest_eigenvalues": [-10.24999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.249999999999963, "smallest_bitstrings": ["001001010010100"], "largest_eigenvalue": 30.750000000000124} | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0]... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.5,
1.25,
1.25,
1.25,
1.25,
1.25,
1.2... | 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 |
0c78889c145fc347585b81bd2c3a8e92 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [374, 310], "expectation_value": -62.67129688178508, "params": [0.7923, 0.2348, -0.008400000000000001, 0.5034000000000001, 0.309, 0.2501, 0.7911, 0.0137, 0.7878000000000001, 0.0182, 0.0031000000000000003, 0.5492, 0.7947000000000001, -0.0081, 0.7955, 0.20220000000000002, 0.1578, 0.4046, 0.7917000000000001, 0.... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(2) @ Z(4)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(8)) + 3.5 * Z(0) + -1.5 * Z(1) + 9.0 * Z(4) + 14.5 * Z(3) + 10.0 * Z(2) + 3.5 * Z(6) + -2.5 * Z(5) + 3.0 * Z(8) + 9.0 * Z(7) | 18 | 9 | 4 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["011001001"], "largest_eigenvalue": 100.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.6587103265299932) q[0];
rz(-0.1527522159450454) q[0];
rx(-0.18758378703741574) q[1];
rz(0.5984243517679151) q[1];
rx(0.03920160621181789) q[2];
rz(0.23223765303140215) q[2];
rx(0.961383566718058) q[3];
rz(0.13123007253624294) q[3];
rx(0.9520092590767212) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZZIII",
"IIIIZIZII",
"IIIIIZZII",
"IIZZIIIII",
"ZIIIIZIII",
"IZIIIIZII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
3.5,
-1.5,
9,
14.5,
10,
3.5,
-2.5,
3,
9
] | 0.977688 | [
0.6587103265299931,
0.1691996508439417,
-0.18758378703741574,
0.5984243517679151,
0.03920160621181789,
0.23223765303140215,
0.961383566718058,
0.13123007253624294,
0.9520092590767212,
0.07726509646806617,
0.148685809784262,
0.6194726756956049,
0.6224888431791277,
0.14599185315809302,
0.6... | {
"n_parameters": 105,
"n_qubits": 9,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 7 |
d56985f232688510835b204f6df74ea2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [0, 12], "expectation_value": -2.5536666611051526, "params": [-0.3734, 0.8258000000000001, 0.307, 0.8126, -0.38620000000000004, 0.8424, 0.3276, 0.7379, -0.3285, 0.7132000000000001, -0.2541, 0.8478, -0.31520000000000004, 0.772, -0.2434, 0.771, 0.3612, 0.4904, 0.3189, -0.011300000000000001, 0.36410000000000003... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + 1.0 * Z(2) | 6 | 4 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011", "0000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rx(-0.3496888126830203) q[0];
rz(2.484506498622846) q[0];
rx(-0.3606515987656041) q[1];
rz(2.695813082918283) q[1];
rx(-0.7154262833367034) q[2];
rz(1.8175501947592743) q[2];
rx(-0.19870768265287853) q[3];
rz(1.1347460276828725) q[3];
cx q[3], q[2];
ry(-0.16829304157100... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIZZ",
"ZZII",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
-1,
-1.5,
0.5,
0.5,
-1,
1
] | 0.971412 | [
-0.3496888126830203,
0.9137101718279496,
-0.36065159876560415,
1.125016756123386,
-0.7154262833367034,
0.24675386796437643,
-0.19870768265287853,
1.1347460276828725,
0.3365860831420172,
0.2330728285343483,
0.02036217997528407,
0.2540546231098219,
-0.1563285096769219,
0.6029637664150831,
... | {
"n_parameters": 59,
"n_qubits": 4,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 70 |
-4840633091927207144 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 5], [0, 1, 2, 3, 4], [0, 2, 5]]} | {"states": [58, 56], "expectation_value": -0.9865800425806187, "params": null, "bitstrings": ["000101", "000111"], "total_optimization_steps": 35, "probabilities": [0.35112398364048386, 0.43427108557185057], "optimization_time": 36.857800006866455} | 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.05 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(2)) + ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.0333333333333334, -1.0333333333333334, -1.0333333333333334], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0333333333333332, "smallest_bitstrings": ["000111", "000101", "000011"], "largest_eigenvalue": 2.5000000000000004} | 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(-1.5866323392300794) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(0.21195365320726003) q[0];
cx q[5], q[0];
cx q[1], q[0];
rz(-0.16247826745008306) q[0];
cx q[1], q[0];
cx q[5], q[2];
rz(0.21195365320726003) q[... | 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(1.0792) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"ZIIIZI",
"ZIIIIZ",
"IIIIZZ",
"ZIIZII",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.16666666666666666,
0.05,
0.16666666666666666,
0.05,
0.21666666666666667,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.16666666666666663,
0.1000000000000002,
0.26666666666666666,
0.26666666666666666,
0.1,
0.1
] | 0.776854 | [
-1.5866323392300794,
0.21195365320726003,
-0.16247826745008306,
0.2320167627740103,
-0.3174183907191711,
-2.006787925209502,
0.8724488135409196
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -1.0333333333333334,
"target_ratio": 0.97,
"target_value": -1.0023333333333333
} | 158 |
fdfbddd83ad5e4b88801b3192987124e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2... | {"states": [57, 1], "expectation_value": -1.0274168373897175, "params": [[0.0671, 0.06280000000000001], [-0.060500000000000005, -0.056400000000000006]], "bitstrings": ["1000110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.014456600703681304, 0.014813273159348907], "optimization_time": 4.31343960762... | -0.75 * (Z(0) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.75 * Z(5) + 1.0 * Z(6) + 0.75 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["1000110", "1111110"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.3200396269150379) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.08926708559789197) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.3200396269150379) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(-0.382786... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIZI",
"IIIIZZI",
"IIZZIII",
"ZIIZIII",
"IIIZIZI",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
-1.5,
-1,
2,
-0.25,
-0.75,
-1,
-0.5,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.75,
1,
0.75,
-0.25,
0
] | 0.810073 | [
-0.3200396269150379,
0.08926708559789197,
-0.3827861201307439,
0.3471470627240742,
-0.7515704665862538,
-0.3267668593634906,
0.16898582939016338,
-0.7763201657017763,
-0.815770852515257,
-1.535634986606571,
-0.5078065568147562,
-0.15503038467109106,
-0.7855234435767351,
0.5365222126647917,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 448 |
3bcfe4648282d1b3b76d6f42e87e5c5d | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [105, 109], "expectation_value": -2.7555227633217636, "params": [-0.0028, 1.4127, 1.5666, 0.0016, 1.5703, 0.3002, -0.0018000000000000002, 0.7000000000000001, 1.5270000000000001, 0.0088, 0.8788, 0.779, 0.35950000000000004, 1.3231000000000002, 1.7748000000000002, 0.37620000000000003, -0.0028, 0.0092, 1.5717, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(3) @ Z(5)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-3.3125, -3.3125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3125, "smallest_bitstrings": ["10010010", "10001100"], "largest_eigenvalue": 5.6875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.4983893330425997) q[1];
cx q[0], q[1];
ry(0.4983893330425997) q[1];
cx q[0], q[1];
ry(1.066076181721017) q[0];
ry(-0.5938713995022797) q[1];
h q[2];
ry(1.5402154026626123) q[2];
h q[3];
ry(1.5402154026626123) q[3];
ry(-0.17623757719026006) 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": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZZIII",
"IZZIIIII",
"IIZIZIII",
"ZIIIZIII",
"ZIZIIIII",
"ZIZIZIII",
"IIIIIZZI",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIIZIZII",
"IZIIIZII",
"ZIIIIZII",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIZIZZI",
"IZIIIZZI",
"ZIIIIZZI",
"IZIZIIZI",
"ZIIZIIZ... | [
0.5,
0.5,
0.5,
0.5,
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,
0.062... | 0.996974 | [
-1.5938656292948508,
-1.3287538149981546,
1.5402154026626123,
-0.9967786660851994,
0.7888739065478406,
-0.13160986921296364,
-0.42930010710070565,
0.5544045503463523,
-0.32914258480314823,
0.19808762382699582,
-0.14239960728529294,
0.027159174901727368,
0.17468980324708977,
-0.025156201310... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
0f435eed505f807fb8dc44643dfd43ce | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"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": 2, "target"... | {"states": [0, 1], "expectation_value": -19.82312676542619, "params": [[[0.003, 0.006200000000000001], [0.0032, 0.003], [0.0035, 0.0027], [0.0025, 0.0081], [1.6074000000000002, 0.0039000000000000003]]], "bitstrings": ["11111", "11110"], "total_optimization_steps": 160, "probabilities": [0.4817060494705967, 0.5182845590... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.25 * Z(1) + -8.5 * Z(0) + -8.25 * Z(2) + -8.25 * Z(3) + -7.75 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-21.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.75, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 64.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x0) q[1];
rx(x3) q[2];
rz(x4) q[2];
rx... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
-8.25,
-8.5,
-8.25,
-8.25,
-7.75
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
49c7a353075b9efbb859265b467ce241 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [77, 205], "expectation_value": -5.691011262745024, "params": [[-0.1454, -0.1343], [0.15990000000000001, 0.1645]], "bitstrings": ["110110010", "100110010"], "total_optimization_steps": 20, "probabilities": [0.01794011404893229, 0.019184758919561125], "optimization_time": 8.42130160331726} | -0.25 * (Z(0) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(2)) + -1.25 * (Z(8) @ Z(6)) + 1.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -1.75 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["100110010", "110110010"], "largest_eigenvalue": 16.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.1541915017240319) q[0];
cx q[6], q[0];
h q[7];
cx q[6], q[7];
rz(0.48993347450890307) q[7];
cx q[6], q[7];
cx q[0], q[7];
rz(0.3809036293424193) q[7];
cx q[0], q[7];
cx q[7], q[1];
rz(0.15419150... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IZZIIIIII",
"IZIIIIIIZ",
"IZIIIIIZI",
"IZIIIIZII",
"IIIIIIZZI",
"IZIIZIIII",
"IIIIZIZII",
"ZIZIIIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IZIIIZIII",
"IIIIZZIII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIIZII",
"ZIIZIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"... | [
-0.25,
-2,
-1.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-1.25,
1.75,
-0.5,
-1.75,
-0.75,
-0.25,
-0.25,
-0.75,
-0.75,
1.75,
-0.25,
-1.75,
-0.25,
0,
-1.75,
-0.75,
1.5,
1.5
] | 0.573747 | [
0.1541915017240319,
0.48993347450890307,
0.3809036293424193,
0.39121769979930515,
-0.9672327796190312,
0.5380672003954887,
0.5727038347561656,
-0.27201752472147983,
-0.8740006384221521,
0.9168555925598314
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 228 |
0f1d9308b8b1d06d30bfa4de6cbc9040 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [50, 56], "expectation_value": -4.999937482230923, "params": null, "bitstrings": ["001101", "000111"], "total_optimization_steps": 26, "probabilities": [1.6356491498964233e-05, 0.9999687417494828], "optimization_time": 21.3690927028656} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6230010565610689) q[0];
rz(0.06856754591903558) q[0];
rx(0.05228651755820995) q[1];
rz(0.2247192988641979) q[1];
rx(0.623001056561069) q[2];
rz(0.422733719531101) q[2];
rx(-0.04142085028007082) q[3];
rz(0.5561544826034971) q[3];
rx(0.03278011693440643) q[4];
rz(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIZIIZ",
"ZIZIII",
"ZIIIIZ",
"IIZIZI",
"IZZIII",
"ZZIIII",
"IZIIZI",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-0.5,
-1.5,
-1
] | 0.972312 | [
0.623001056561069,
0.312284130557242,
0.05228651755820995,
0.2247192988641979,
0.422733719531101,
-0.04142085028007082,
0.5561544826034971,
0.03278011693440643,
0.14994131830223134,
0.8695450938462626,
1.3203077449435106,
-0.04661008090570343,
0.2783265346359588,
0.09648654899272954,
1.0... | {
"n_parameters": 113,
"n_qubits": 10,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 27 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [121, 124], "expectation_value": -2.8747253040868195, "params": null, "bitstrings": ["10000110", "10000011"], "total_optimization_steps": 58, "probabilities": [0.07429068700732261, 0.6966234818736691], "optimization_time": 113.17756080627441} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.375, "smallest_bitstrings": ["10000011", "00101010", "01000110"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008488357935385014) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008488357935385014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008488357935385014) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.008488357935385014) q[3];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5681) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIIZIIZ",
"IIZZIIII",
"IIIZZIII",
"IIZIZIII",
"IIZZIIIZ",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZZIII",
"IIZZZIIZ",
"IZIIZIII",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"IIZIIZII",
"ZIIIIZII",
"ZIZIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0,
0,
0.125,
0.125,
-0.125,
-1,
0
] | 0.975971 | [
-0.008488357935385014,
1.2282148178064172,
-0.8433163024275433,
1.9725853102242956,
0.7728853189660121,
1.8680963585552939,
1.0323223109501083,
-1.0872816684056126,
-1.4919523916296222,
-1.1032332760214447,
0.051606515557825625,
0.9174931232599342,
-0.7487650083959976,
-0.9471809696574603,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 87 |
a72353b3f3d39b66b1e7bcbe39a68bf2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [30, 31], "expectation_value": -13.058922538429712, "params": [-0.0024000000000000002, 0.0094, -0.0025, 0.0045000000000000005, -0.0024000000000000002, 0.0008, -0.0026000000000000003, -1.6833, 0.0054, -0.0012000000000000001, -2.6388000000000003, -0.003, 0.0013000000000000002, 0.2913, 1.6956, 0.0035, 1.2972000... | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.5 * Z(1) + 1.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + ... | 4 | 9 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["111100000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.9415630442967537) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.21995847618572695) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.44713908697091814) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.9415630442967537) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-2.5,
0.5,
-2,
-2,
-2.5,
0.5,
-1,
-1.5,
0.5,
-1.5,
-1.5,
1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.529162 | [
0.9415630442967537,
0.21995847618572695,
0.44713908697091814,
0.13017078990936806,
1.0482937107472254,
1.5707964035855109,
0.9520730623988463
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 189 |
fb07af1988e388a806c2d5928c55bf3c | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [82, 88], "expectation_value": -6.999937482234163, "params": null, "bitstrings": ["0101101", "0100111"], "total_optimization_steps": 32, "probabilities": [1.6356494446530954e-05, 0.9999687417661175], "optimization_time": 30.601675987243652} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["0100111"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.0682122118669546) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.5606947156267987) q[1];
h q[2];
ry(1.5301944956337181) q[2];
cx q[2], q[0];
ry(-0.08407811923233591) q[0];
cx q[2], q[0];
ry(-0.027462489668114383) q[2];
h q[3];
ry(1.413337765839722) q[3];
h q[4];
ry(-1.56069471... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIIZZI",
"IIZIZII",
"IIIZIZI",
"IIZZIII",
"IZIZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
-2,
-2,
-0.5,
-1.5
] | 0.999155 | [
-1.5606947156267987,
-1.6010867127588195,
-1.4919965460132243,
1.5301944956337181,
1.413337765839722,
-0.10761504650325018,
0.16815623846467181,
0.19073456098497454,
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0.07066592166357748,
-0.036907762910935574,
0.03209225062044242,
-0.04744668660745453,
0.041762713312... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 1 |
73162755fd3fb63ec250bb0297031b85 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [5, 7], "expectation_value": -3.0719352683002965, "params": null, "bitstrings": ["111010", "111000"], "total_optimization_steps": 29, "probabilities": [0.13263570914780165, 0.6774955918682292], "optimization_time": 25.81894826889038} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(5) + -1.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010", "111000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.22579406431789806) q[0];
h q[1];
ry(-0.22579406431789806) q[1];
h q[2];
ry(-1.3560969488988168) q[2];
h q[3];
cx q[3], q[1];
ry(0.22579406431789806) q[1];
cx q[3], q[1];
ry(-0.8255410643066695) q[1];
ry(1.359318218961168) q[3];
ry(-1.0688172905350661) q[4]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"IIIZZI",
"IZIIZI",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
0,
-1,
0
] | 0.972602 | [
-1.3560969488988168,
-0.9253424096927959,
-0.4515881286357961,
1.060970966441094,
-0.6027635840281764,
0.5966945050401478,
0.4264757054800475,
-0.4240802228934878,
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0.8467267468659311,
1.759953496058666,
-0.2334806334765544,
-0.13577340237349522,
0.06205456582507352,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 11 |
9d0fda9991561362ccfc12e66c38b9f5 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [77, 93], "expectation_value": -0.8073147298213385, "params": [0.00030000000000000003, 0.2391, 0.39480000000000004, 0.1781, 0.3174, 0.14120000000000002, 0.40080000000000005, -0.0002, 0.395, -0.006500000000000001, 0.4047, 0.0041, 0.2997, 0.0577, 0.4056, 0.0027, 0.0031000000000000003, 0.2899, 0.3941, 0.2050000... | 0.5 * (Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(3) @ Z(0) @ Z(1)) + -0.0625 * (Z(0)... | 18 | 8 | 4 | {"smallest_eigenvalues": [-3.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5625, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 5.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.05915602651802649) q[0];
rz(-0.15469163530750052) q[0];
rx(3.4191362901712914) q[1];
rz(0.45246714787639103) q[1];
rx(0.17983961904902268) q[2];
rz(-0.05096309531274679) q[2];
rx(3.0050058723652) q[3];
rz(1.0763901855253808) q[3];
rx(3.085973281590634) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIIZI",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIIZIZZ",
"IIIZIIZZ",
"IIZIIIZZ",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZIIIZ",
"IIIZZIZI",
"IIZIZIZI",
"IIZZIIZI",
"IIZZZIII",
"IIIZZIZZ",
"IIZIZIZ... | [
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.5,
... | 0.971457 | [
-0.05915602651802648,
-0.1292100876511263,
3.4191362901712914,
0.45246714787639103,
0.17983961904902268,
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3.0050058723652,
1.0763901855253808,
3.085973281590634,
0.20126058805128294,
3.3609533359992207,
0.3973179116121901,
0.08371651178469919,
-0.042244168201899246,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 21 |
cba3c0f3028bedd24c97c562399fe60f | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [13, 7], "expectation_value": -12.05337476454533, "params": null, "bitstrings": ["1110010", "1111000"], "total_optimization_steps": 63, "probabilities": [0.26693860846756895, 0.4113682666829968], "optimization_time": 82.15714597702026} | 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)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 ... | 12 | 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[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-4.011935460582535e-09) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-4.011935460582535e-09) q[3];
c... | null | {"k": 4} | {"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(-1.5577) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
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"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,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.5,
-3.25,
-3.25,
-2.75,
-3.25,
-2.75
] | 0.740989 | [
-4.011935460582535e-9,
1.3554674035363465e-8,
0.9694266146810376,
1.5707964080681434,
-1.5707962967130897,
1.5707963408013987
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 195 |
267f594e5cb21532a1a860c7d4e0717d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [168, 169], "expectation_value": -2.987733594910428, "params": [0.3929, 0.0019, 0.3901, 0.0019, 0.0021000000000000003, 0.3045, 0.004200000000000001, 0.3088, 0.3945, 0.0041, 0.39730000000000004, 0.0053, 0.004, 0.3043, 0.0013000000000000002, 0.3115, 0.251, -0.0024000000000000002, 0.24700000000000003, 0.0014, 0... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 7 | 8 | 4 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["01011001", "01010110"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.24748745819808826) q[0];
rz(-0.17713756506993983) q[0];
rx(-0.1790047299186118) q[1];
rz(0.10654864048877083) q[1];
cx q[1], q[0];
rz(0.011708463917440626) q[0];
cx q[1], q[0];
rz(1.4748675647452902) q[0];
ry(1.210001108655402) q[0];
rz(-1.8286665049021005) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IIZZIIIZ",
"IZIZIIII",
"IZIIIZII",
"ZIIIIZII",
"ZZIIIIII",
"ZZIIIZII",
"ZIZIIIII",
"IIIIIIIZ",
"IIIIIIZ... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
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0.125,
0.25,
0.25,
0.25,
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0.5,
0.25,
0.25,
0.25,
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0.5,
0.125,
-0.625,
0.125,
-0.625,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.970926 | [
0.2474874581980883,
-0.1654291011524992,
-0.1790047299186118,
0.10654864048877083,
0.6162612157337666,
0.002052278197618773,
-0.04559442540123893,
0.3771343868759495,
0.43625683568421697,
0.17681883646965665,
0.0163352835731005,
-0.04645655951074808,
-0.033049571212274566,
0.22684970955432... | {
"n_parameters": 138,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 9 |
00118ab6930cdbf8ae812be8d2492bc7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [1886, 2910], "expectation_value": -2.002758749910651, "params": [[[0.0719, -0.281, 0.0038, 0.0086], [0.6744, -0.0729, 0.33490000000000003, 0.0663], [0.14150000000000001, 0.1057, -0.1072, 0.1778], [0.15230000000000002, 0.1297, 0.6654, -0.0884], [0.09770000000000001, 0.24780000000000002, 0.3839, 0.1467], [-0.... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(5) @ Z(2) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(2) @ Z(3... | 11 | 12 | 3 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eig... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.04918376531928889) q[0];
rz(-0.3793966486121454) q[0];
ry(0.7827482198667217) q[1];
rz(0.660355275556797) q[1];
cx q[1], q[0];
ry(0.33401292012670686) q[0];
rz(-0.8093873712479307) q[0];
ry(0.5574529877503042) q[1];
rz(0.22712409290961155) q[1];
ry(0.158801706322... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIZIIZII",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIIZZZII",
"IIIIIIZIZZII",
"IIIIIIZZIZII",
"IIIIIIZZZIII",
"IIIIIIZZZZII",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIZIIIIIIIZ",
"IIIIIZIIIZII",
"IIIIZIIII... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
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0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
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-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625... | 0.971394 | [
-0.04918376531928889,
-0.3793966486121454,
0.7827482198667217,
0.660355275556797,
0.15880170632269322,
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0.04086639445358173,
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0.07150862175408089,
-0.42433686654348857,
-0.038547795345371345,
0.042652669316125304,
0.9860647482580898,
0.197570312199... | {
"n_parameters": 132,
"n_qubits": 12,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 169 |
177860aeb0336e4d74e733a089b052c3 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [32509, 32445], "expectation_value": -19.64189650326501, "params": [0.0341, 0.0235, 0.5844, 0.6445000000000001, 0.8453, 0.8751, 0.7103, 0.7566, 0.7633000000000001, 0.7501, 0.4732, 0.8095, 0.6737000000000001, 0.6887, -0.0006000000000000001, -0.0057, 0.8658, 0.6375000000000001, 0.24000000000000002, 0.2215, 1.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(... | 14 | 16 | 2 | {"smallest_eigenvalues": [-20.499999999999876], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.49999999999987, "smallest_bitstrings": ["1000000101000010"], "largest_eigenvalue": 69.50000000000017} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.014243045464342475) q[0];
rz(pi/2) q[0];
ry(0.47339641759489615) q[1];
ry(0.9477409961268048) q[2];
ry(0.8530870530941135) q[3];
ry(0.6736094485826715) q[4];
ry(0.6301478108490435) q[5];
ry(0.6323208850188416) q[6];
ry(-0.07959944305288852) q[7];
ry(0.90841950821... | 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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 2, "target": 3}, {"source": 2, "target": 1}, {"source": 3, "target": 1}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIZII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIZIIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIZIIZII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
... | 0.972057 | [
-0.014243045464342475,
0.47339641759489615,
0.9477409961268048,
0.8530870530941135,
0.6736094485826715,
0.6301478108490435,
0.6323208850188416,
-0.07959944305288852,
0.9084195082130984,
0.10595333817837868,
0.8644001538004558,
0.7068495334682495,
0.9093136984371829,
0.7857326890626988,
0... | {
"n_parameters": 127,
"n_qubits": 16,
"optimal_eigenvalue": -20.499999999999876,
"target_ratio": 0.97,
"target_value": -19.884999999999877
} | 7 |
7027bf4700e2cca2b06c9dc2f8c2504b | 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": 4}, {"source": 3, "... | {"states": [2046, 4095], "expectation_value": -20.98269628340957, "params": [[[-1.2848000000000002, 1.4983], [0.0747, 1.4985000000000002], [0.0091, 0.3725], [-0.002, -0.0018000000000000002], [-0.0013000000000000002, -0.0016], [-0.0024000000000000002, 0.0757], [-0.0027, -0.0027], [0.002, -0.0025], [-0.0022, -0.002], [-0... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(7)) + -1.5 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + -1.5 * (Z(11) @ Z(9)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 1.0 * Z(1) + -1.0 *... | 15 | 12 | 1 | {"smallest_eigenvalues": [-23.5, -23.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -22.5, "smallest_bitstrings": ["000000000000", "110000000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.554669733551445) q[0];
ry(0.0075115377980286635) q[1];
ry(0.1753457293963669) q[2];
ry(0.02561321315375832) q[3];
ry(0.22718359311175726) q[4];
ry(0.0005738683243216199) q[5];
ry(-0.05615625184267954) q[6];
ry(-0.044328683944934014) q[7];
ry(0.01111568643994024) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IIIZIZIIIIII",
"IIIZIIZIIIII",
"IIIZZIIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIIZIZII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIZIIIIII",
"IIIIIIZIIIII",
"IIIIZIIII... | [
-1.5,
-2,
-2,
-2,
-2,
-2,
-2,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.974779 | [
-0.554669733551445,
0.0075115377980286635,
0.1753457293963669,
0.02561321315375832,
0.22718359311175726,
0.0005738683243216199,
-0.05615625184267954,
-0.044328683944934014,
0.01111568643994024,
-0.043709632284047284,
-0.204818870514481,
2.942594658391509,
0.1711752066048693,
-0.02060842908... | {
"n_parameters": 21,
"n_qubits": 12,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 82 |
20b257e7ab3ea05503daa46ec3868b05 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [52, 37], "expectation_value": -4.496464084735706, "params": null, "bitstrings": ["001011", "011010"], "total_optimization_steps": 23, "probabilities": [0.06634840431979211, 0.930366250617222], "optimization_time": 20.081212759017944} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["001011", "011010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.5548614983032758) q[0];
h q[1];
ry(-0.4336582153180486) q[1];
h q[2];
ry(-1.5596846869202525) q[2];
h q[3];
ry(1.5548614983032758) q[3];
ry(-0.026435782347820826) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[1];
ry(0.4336582153180486) q[1];
cx q[5], q[1];
ry(-0.7... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"IZIIZI",
"ZIIZII",
"ZZIIII",
"ZIIIZI",
"IIZZII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1,
-1,
0
] | 0.998061 | [
-1.5596846869202525,
-1.4823995321635313,
1.5548614983032758,
-0.8673164306360972,
0.7054725837623831,
-0.4872816670639519,
0.6442048738368666,
-0.5016801554814053,
0.16957923580848894,
-0.12340870985442795,
0.17931583905653592,
-0.021905959185723592,
-0.12392202456708895,
0.03449940289991... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
aacaa96485aecd447212f3a2ddad723b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 5, "source": 0, "target": 8}, {"capacity": 2, "s... | {"states": [161, 129], "expectation_value": -0.6857596474569239, "params": [[0.0614], [-0.0495]], "bitstrings": ["101011110", "101111110"], "total_optimization_steps": 10, "probabilities": [0.002521323422546932, 0.0025858402689854705], "optimization_time": 2.0014841556549072} | -0.25 * (Z(0) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(0)) + 2.0 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(8)) + -1.0 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + 3.5 * Z(6) + -0.25 * Z(0) + -2.25 * Z(7) + 1.5 * Z(8) + 0.5 * Z(1) + -2.5 * Z(2) + -0.7... | 1 | 9 | 1 | {"smallest_eigenvalues": [-15.0, -15.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.0, "smallest_bitstrings": ["101111110", "101011110"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.4913160654204863) q[0];
cx q[6], q[0];
h q[7];
cx q[6], q[7];
rz(0.028512783119828907) q[7];
cx q[6], q[7];
cx q[0], q[7];
cx q[6], q[2];
rz(0.08515804722401596) q[2];
cx q[6], q[2];
cx q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} | [
"IIZIIIIIZ",
"IZZIIIIII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIZIIIZII",
"IZIIIIZII",
"IIIIZIZII",
"IIIIIZZII",
"IIZZIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII"
] | [
-0.25,
-1.5,
-1.5,
2,
-0.5,
-1,
-0.75,
-0.75,
-1.5,
-1.25,
3.5,
-0.25,
-2.25,
1.5,
0.5,
-2.5,
-0.75,
1.5,
-1.25
] | 0.971071 | [
0.4913160654204863,
0.028512783119828907,
-0.10664507011831546,
0.20651815175090793,
0.08515804722401596,
0.2830349843323535,
0.25990397793380765,
0.7521858922283763,
0.762225500893824,
-0.7412541471942645,
-0.628866500207978,
0.8576843208197956,
1.564883096515674,
0.5534726737838552,
0.... | {
"n_parameters": 39,
"n_qubits": 9,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 113 |
a887d91f9606dc8ffadccd46fa1ed57b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capaci... | {"states": [1, 17], "expectation_value": -7.79480535697615, "params": [[[-0.0037, 0.1802], [0.49660000000000004, -0.0004], [0.0011, 0.3053], [-0.0038, 0.3814], [-0.001, 0.3161], [0.5041, 0.0022]], [[0.0045000000000000005, 0.3176], [0.4908, -0.0004], [-0.0071, 0.3864], [-0.0034000000000000002, 0.3814], [-0.0076, 0.3919]... | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 3.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + -2.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.5 * Z(5) + 1.0 * Z(1) + -0.75 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["101110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-2.7026747242885296) q[0];
ry(0.04369070613606717) q[0];
rz(-2.3989077382019692) q[0];
rz(1.2390313594475595) q[1];
ry(2.7029776244779247) q[1];
rz(-1.8931095271762974) q[1];
rz(1.2296356242845414) q[2];
ry(0.07252810464454057) q[2];
rz(-0.8196100966248716) 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"ZIIIZI",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
-1.5,
-1.25,
3,
-1,
-0.5,
-0.5,
-0.75,
-2,
-0.25,
0.5,
1.5,
1,
-0.75
] | 0.983616 | [
-0.10851937358898682,
0.4487744318096143,
1.03540924260132,
-0.08402551519855138,
0.11521988296733376,
0.42557088328310494,
-0.050850343758797184,
0.2581494561174059,
-0.14082975527251856,
0.5348791684932794,
0.6541134772230921,
-0.015841090960918423,
0.10336452295257065,
0.568926069772383... | {
"n_parameters": 34,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 11 |
024eb4eb919bdf65c57ab94cec1f06e3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [1366, 1374], "expectation_value": -1.8687728150540406, "params": [[1.4991, 0.3876, 1.1709, 0.38130000000000003, 1.5033, 0.4218, 0.6242, 0.3739, 0.7889, 0.8306, -0.0022], [1.4985000000000002, 1.2714, 1.5019, 0.9810000000000001, 1.4423000000000001, 0.8047000000000001, 1.5028000000000001, 1.4888000000000001, 1... | 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... | 10 | 11 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.625, "smallest_bitstrings": ["01100010001", "00010101001", "01010100001", "000101001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.026826525433737123) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.6308976674274145) q[1];
h q[2];
ry(-0.4852982136203111) q[2];
h q[3];
cx q[3], q[2];
ry(0.4852982136203111) q[2];
cx q[3], q[2];
ry(-0.5282449194677151) q[2];
ry(0.9544954883708758) q[3];
h q[4];
ry(1.541237106... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIIZ",
"IIIIZIZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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,
... | 0.993782 | [
-1.6308976674274145,
-1.6272321698449563,
1.541237106075381,
-0.9705964272406222,
0.797247644555948,
-0.3502112609538205,
0.3144956876298556,
-0.3560673170277892,
0.2806195109599543,
-0.12762364400867643,
0.005054296641712308,
0.00711322139876662,
0.16652473696759373,
-0.16153608992455162
... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
-6610853813895580081 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 3, 5, 8, 10], [1, 4, 6, 9, 10, 12], [2, 4, 6, 11, 12], [0, 2, 6, 8, 11], [0, 5, 6, 7, 9, 10], [9, 10, 11, 7], [8, 3, 12, 5], [0, 10, 11], [0, 3, 6], [8, 4], [8, 0, 3, 12], [1, 2, 4, 6, 10, 12], [1, 3, 5, 7, 8], [9, 3, 12], [0, 4, 7], [1, 2, 3, 4, ... | {"states": [6397, 6395], "expectation_value": -8.041882497461891, "params": [1.7359, 1.4107, 0.6614, 2.4759, -1.0913000000000002, 1.0856000000000001, -0.0429, 0.0378, -0.024900000000000002, 0.0296, 1.5579, 1.5789, 2.3838, 0.7524000000000001, 1.6019, 1.5353, 1.5733000000000001, 1.5729, 1.5709000000000002, 1.5659, 0.3444... | 0.13333333333333336 * (Z(2) @ Z(3)) + 0.18333333333333335 * (Z(5) @ Z(3)) + 0.3 * (Z(5) @ Z(2)) + 0.39999999999999997 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(2)) + 0.26666666666666666 * (Z(8) @ Z(5)) + 0.25 * (Z(10) @ Z(3)) + 0.3333333333333333 * (Z(10) @ Z(2)) + 0.25 * (Z(10) @ Z(5)) + 0.15000000000000002 * (Z(10) @ Z(8)) ... | 14 | 13 | 1 | {"smallest_eigenvalues": [-8.049999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.033333333333333, "smallest_bitstrings": ["0011100000100"], "largest_eigenvalue": 37.499999999999986} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.7351448474977145) q[0];
rz(pi/2) q[0];
ry(0.6680132243452016) q[1];
ry(-1.0976007753422226) q[2];
ry(-0.10301573681384202) q[3];
ry(0.08528467563213529) q[4];
ry(1.4363227877929239) q[5];
ry(2.3668572318900867) q[6];
ry(1.58612226964091) q[7];
ry(1.486297072650105... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIIIIIZZII",
"IIIIIIIZIZIII",
"IIIIIIIZIIZII",
"IIIIZIIIIZIII",
"IIIIZIIIIIZII",
"IIIIZIIZIIIII",
"IIZIIIIIIZIII",
"IIZIIIIIIIZII",
"IIZIIIIZIIIII",
"IIZIZIIIIIIII",
"IIIIIIIIIZIZI",
"IIIIIIIIIIZZI",
"IIIIIIIZIIIZI",
"IIIIZIIIIIIZI",
"IIZIIIIIIIIZI",
"IIIIIIIIZZIII",
"IIIIIIIIZIZ... | [
0.13333333333333336,
0.18333333333333335,
0.3,
0.39999999999999997,
0.25,
0.26666666666666666,
0.25,
0.3333333333333333,
0.25,
0.15000000000000002,
0.13333333333333336,
0.16666666666666669,
0.3833333333333333,
0.15000000000000002,
0.13333333333333333,
0.2833333333333333,
0.2,
0.25,... | 0.98908 | [
1.7351448474977145,
0.6680132243452016,
-1.0976007753422226,
-0.10301573681384202,
0.08528467563213529,
1.4363227877929239,
2.3668572318900867,
1.58612226964091,
1.4862970726501052,
1.6265184051492485,
0.5094389695696547,
1.9119337432807906,
1.6964935331432978,
0.05870919734269008,
1.938... | {
"n_parameters": 50,
"n_qubits": 13,
"optimal_eigenvalue": -8.049999999999997,
"target_ratio": 0.97,
"target_value": -7.808499999999997
} | 1 |
1482f4f5abcf5f1c29a93218e5aedf4b | 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": 1}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [111, 39], "expectation_value": -7.456903785028235, "params": null, "bitstrings": ["10010000", "11011000"], "total_optimization_steps": 52, "probabilities": [0.14337210102024978, 0.8124012117549206], "optimization_time": 54.72373175621033} | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(7) + -1.25 * Z(3) + 0.25 * Z(4) + -0.5 * Z(2) + 1.0 * Z(5) + 1.5 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11011000", "11111100", "11111000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.012185233531157788) q[0];
rz(-0.14371858576511087) q[0];
rx(0.007031030376359929) q[1];
rz(0.2897352875796022) q[1];
rx(0.03703295545914785) q[2];
rz(0.21538689773784236) q[2];
rx(0.018548456488674744) q[3];
rz(0.2631140417298812) q[3];
rx(-0.04106692929657757) q[... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"ZZIIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.5,
0.75,
-0.5,
-1.5,
-0.25,
-0.25,
-1,
-1,
-0.5,
-0.5,
-0.25,
-0.25,
-1.25,
0.25,
-0.5,
1,
1.5
] | 0.985377 | [
-0.012185233531157788,
0.16024899196305356,
0.00703103037635993,
0.5162994626624118,
0.03703295545914786,
0.49809845414396875,
0.018548456488674744,
0.6519750213744733,
-0.04106692929657757,
0.5374198011724128,
0.14044029173835149,
0.12062919065026473,
0.705253149582738,
-0.118476525432784... | {
"n_parameters": 89,
"n_qubits": 8,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 3 |
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