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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
33d8a5842de922447f6c6633124906d8 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [622, 614], "expectation_value": -81.61906073666327, "params": [0.2904, 0.4641, 0.904, 0.22740000000000002, 0.0027, 0.5487000000000001, -0.002, 0.6101, 0.9026000000000001, -0.004, 0.9037000000000001, 0.2363, 0.22940000000000002, 0.4364, 0.4637, -0.16970000000000002, 0.9066000000000001, 0.0071, 0.899, 0.21050... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(10) @ Z(8)) + 6.5 * (Z(10) @ Z(9)) + 2.5 * Z(0) + 6.0 * Z(1) + -3.0 * Z(2) + -5.5 * Z(3) + 6.0 * Z(4) + 0.5 * Z(6) + 9.5 * Z(5) + 10.0 ... | 18 | 11 | 3 | {"smallest_eigenvalues": [-102.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["10110011001"], "largest_eigenvalue": 102.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.19587362513789747) q[0];
rz(0.39960525784693957) q[0];
rx(0.9436157725840781) q[1];
rz(0.2350677517925994) q[1];
rx(-0.23007408303233268) q[2];
rz(0.38173071259710845) q[2];
rx(-0.11847995663530209) q[3];
rz(0.5424394366552426) q[3];
rx(0.8892316379892748) 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIZZIII",
"IIIIZIZIIII",
"IIIIIZIIIIZ",
"IIIIZZIIIII",
"IIZZIIIIIII",
"IZIZIIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
2.5,
6,
-3,
-5.5,
6,
0.5,
9.5,
10,
5,
6,
0.5
] | 0.971416 | [
0.19587362513789744,
0.5520088549599057,
0.9436157725840781,
0.2350677517925994,
-0.23007408303233268,
0.38173071259710845,
-0.11847995663530209,
0.5424394366552426,
0.8892316379892748,
0.2062859916995584,
1.1019250227942126,
0.35753251904195893,
0.15660573029250327,
0.3794403979298906,
... | {
"n_parameters": 95,
"n_qubits": 11,
"optimal_eigenvalue": -102.5,
"target_ratio": 0.97,
"target_value": -99.425
} | 12 |
3226404029621620096 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8], [2, 5], [4, 5], [3, 5], [1, 4], [4, 6], [0, 7]]} | {"states": [368, 115], "expectation_value": -2.94886391596647, "params": null, "bitstrings": ["010001111", "110001100"], "total_optimization_steps": 79, "probabilities": [0.04514043600096163, 0.6299874726738183], "optimization_time": 90.6544177532196} | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(7) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110011", "110001100", "010001111", "101110000"], "largest_eigenvalue": 3.5} | 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];
cx q[5], q[2];
rz(0.9090567190169905) q[2];
cx q[5], q[2];
rz(1.4348740151604034e-07) q[2];
rx(-0.7853981964435243) q[2];
cx q[5], q[4];
rz(0.9090567190169905) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(0.9090567190169905) q[1... | 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",
"IIIZIIZII",
"IIIZZIIII",
"IIIZIZIII",
"IIIIZIIZI",
"IIZIZIIII",
"IZIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIZIIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.535036 | [
0.9090567190169905,
1.434874014763973e-7,
-0.7853981964435243
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 100 |
24ec85ceb3f94374e977a871ddcf35bc | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [35, 44], "expectation_value": -0.66821331619224, "params": [[0.0755, 0.06960000000000001, 0.06520000000000001], [-0.0753, -0.0637, -0.0533]], "bitstrings": ["011100", "010011"], "total_optimization_steps": 10, "probabilities": [0.024562634276936775, 0.025682172065520207], "optimization_time": 3.056716918945... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "011100", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.04176737542190623) q[0];
rz(-pi) q[0];
ry(-2.945037601850049) q[1];
rz(-pi) q[1];
h q[2];
ry(1.4906421176738867) q[2];
h q[3];
h q[4];
ry(0.6746829349540775) q[4];
h q[5];
ry(-0.2974549213254869) q[5];
cx q[3], q[5];
ry(0.2974549213254869) q[5];
cx q[3], q[5];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"ZIIZII",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-0.5,
-0.5
] | 0.971567 | [
-1.5669187022824613,
-1.5230986125139825,
1.4906421176738867,
-0.5949098426509738,
1.0949934439908702,
1.1307724253187426,
-0.9752655168159003,
1.349365869908155,
0.5257905149682746,
0.08690217507268594,
-0.18517364442419398,
0.5584956621285644,
0.3260867579106622,
0.07577950181894219,
0... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 12 |
b5e7e2797d8b3a448650a56d35ed7f4a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [21, 1], "expectation_value": -1.7222857940753333, "params": [[0.0608, 0.0604, 0.04], [-0.0436, -0.0509, -0.0439]], "bitstrings": ["11101010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.009043178244216809, 0.010465296442730285], "optimization_time": 4.182311058044434} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + -0.75 * Z(6) + -0.75... | 1 | 8 | 3 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.008805449081746186) q[0];
rz(0.008805449081746186) q[0];
rx(-0.06507551884342087) q[1];
rz(0.07837949212351895) q[1];
rx(0.11121083091104535) q[2];
rz(-0.12325739099878535) q[2];
rx(0.11121083091104535) q[3];
rz(-0.19545083417781706) q[3];
rx(0.23085209549836783) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IIIIIZZI",
"IIIZIZII",
"IZIZIIII",
"IIZIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.5,
-0.25,
-0.5,
-2.25,
-0.5,
-0.75,
-1.75,
-0.5,
-0.75,
1.75,
-0.25,
0.5,
-0.25,
0.5,
-0.75,
-0.75,
0,
-0.75,
1.5
] | 0.982302 | [
0.008805449081746186,
-0.06507551884342087,
0.07837949212351895,
0.11121083091104535,
-0.12325739099878535,
-0.19545083417781706,
0.23085209549836783,
0.25202255510293076,
0.018150580089486897,
0.04944532338292,
0.24812448242597843,
2.8641026750519627,
0.20462351945670706
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 10 |
4c97295c4d10fd438512879e76a3fa94 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 11, "source": 0, "target": 5}, {"weight": 11, "source": 1, "target": 6}, {... | {"states": [124, 118], "expectation_value": -26.255295786823012, "params": [[0.046200000000000005, -0.0044], [-0.17200000000000001, -0.14400000000000002]], "bitstrings": ["10000011", "10001001"], "total_optimization_steps": 20, "probabilities": [0.027628166587955034, 0.028006339629773117], "optimization_time": 4.098588... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 12.5 * Z(1) + 4.5 * Z(0) + 9.5 * Z(2) + 5.5 * Z(3) + 8.5 * Z(4) + 11.0 * Z(5) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-52.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 108.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06705697307695388) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.06705697307695388) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.06705697307695388) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.06705697307695388) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
12.5,
4.5,
9.5,
5.5,
8.5,
11,
10,
3
] | 0.970508 | [
-0.06705697307695388,
-1.0858221740381448,
0.7683541393482292,
-1.037866449491875,
-1.2864236331379229,
0.12089631300890967,
-1.2281342709076082,
-0.5959445715535199,
0.058898953373016205,
0.39104211057759153,
0.11572163969478497,
-0.6202676151810331,
0.42998577073893834,
-0.60274796727804... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -52.5,
"target_ratio": 0.97,
"target_value": -50.925
} | 81 |
49fdc4fc2f47778ac781086be11cae29 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1992, 968], "expectation_value": -106.150048124165, "params": [0.77, 0.3241, 1.3983, 0.0002, 1.3918000000000001, -0.0031000000000000003, 1.3982, -0.002, 1.4057000000000002, 0.2665, 0.39230000000000004, 0.5465, -0.0029000000000000002, 0.8631000000000001, 1.4033, 0.2776, 0.41950000000000004, 0.5554, -0.0002, ... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(3)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(10) @ Z(4)) + 6.5 * (Z(10) @ Z(7)) + 19.0 * Z(2... | 18 | 11 | 2 | {"smallest_eigenvalues": [-126.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.0, "smallest_bitstrings": ["10000110111"], "largest_eigenvalue": 203.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.26179308743915075) q[0];
rz(0.5275196429460056) q[0];
rx(1.4491090271674552) q[1];
rz(0.11584365520704501) q[1];
rx(1.4629693883553374) q[2];
rz(0.19608058536669243) q[2];
rx(1.9273329279319342) q[3];
rz(-0.08644799816899315) q[3];
rx(1.6355469839136647) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIIIIIZIZI",
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIIZIIZ",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IIZIIIIZIII",
"IIIZIIZIIII",
"IIZZIIIIIII",
"ZIIIIIZIIII",
"ZIIZIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIZIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
19,
21.5,
20.5,
10.5,
3,
15.5,
-5.5,
3,
14,
1.5,
-9
] | 0.972467 | [
0.26179308743915075,
0.3916702177508433,
1.4491090271674552,
0.11584365520704501,
1.4629693883553374,
0.19608058536669243,
1.9273329279319342,
-0.08644799816899315,
1.6355469839136647,
0.3657845322487437,
0.2849358125026906,
0.2488404425296586,
-0.16090265104475873,
1.0008742091218064,
1... | {
"n_parameters": 64,
"n_qubits": 11,
"optimal_eigenvalue": -126,
"target_ratio": 0.97,
"target_value": -122.22
} | 11 |
66f75df6a73731ca3dfcd77bd9b8f9a8 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}]} | {"states": [0, 111], "expectation_value": -3.418061388147848, "params": [-0.3149, 0.21880000000000002, -0.3012, 0.12810000000000002, -0.3134, 0.3156, -0.3068, 0.10490000000000001, -0.0918, 0.24780000000000002, -0.19640000000000002, 0.4252, 0.34500000000000003, 0.0492, 0.3052, 0.3528, 0.3457, 0.024800000000000003, 0.306... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + -0.5 * Z(2) | 6 | 7 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0010000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.5948060088334446) q[0];
rz(2.75476497416349) q[0];
rx(1.1536880317161984) q[1];
rz(-2.5506922440046464) q[1];
rx(-0.3980453346676857) q[2];
rz(2.6285697961866923) q[2];
rx(-2.1859488611686606) q[3];
rz(-3.0403900431441846) q[3];
rx(-1.6370190111416911) q[4];
rz(2.9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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 ... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970969 | [
1.5948060088334446,
1.1839686473685938,
1.1536880317161984,
2.1616967363800432,
-0.39804533466768566,
1.0577734693917953,
-2.1859488611686606,
1.671998937240505,
-1.6370190111416911,
1.3936221263282822,
-0.3367839141949689,
0.20393829066176794,
-1.0278306138913633,
1.9705848592071784,
0.... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 212 |
ae38f088eb7d13f4a1aaeed7b82ca76a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5... | {"states": [19, 1], "expectation_value": -15.28160671909044, "params": null, "bitstrings": ["1101100", "1111110"], "total_optimization_steps": 28, "probabilities": [0.1492731531067702, 0.8377857041610112], "optimization_time": 27.532500982284546} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -1.25 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(6) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.006377179496119643) q[0];
rz(-0.061727897011168764) q[0];
rx(0.07989972346595989) q[1];
rz(0.6688407505745477) q[1];
rx(-0.16796998349578554) q[2];
rz(-0.07201860300141405) q[2];
rx(-0.1915935582937144) q[3];
rz(-0.5729443126343039) q[3];
rx(-0.007459390818392585)... | 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];\ncry(1.5708) q[5], 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]... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"IIIIZZI",
"IIIZIZI",
"IIZIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.75,
-1,
-1.25,
-1.75,
-0.5,
-0.5,
-1.75,
-1.25,
-1.75,
-0.5,
-0.25,
2.5,
-0.75,
1.25,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
1.5
] | 0.974333 | [
-0.006377179496119642,
0.1957621554646426,
0.07989972346595989,
0.4359881860868983,
-0.1679699834957855,
-0.38497263604562815,
-0.19159355829371438,
-0.39383051225245713,
-0.007459390818392586,
0.49935880698787366,
0.050047209993752936,
0.22941381389651128,
0.9696121434380058,
0.0608901470... | {
"n_parameters": 55,
"n_qubits": 7,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 5 |
9b6c90aee56ab84919f7c826e678a024 | edge_cover | adaptive_vqe | {"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": [35, 37], "expectation_value": -2.3403891236552696, "params": null, "bitstrings": ["011100", "011010"], "total_optimization_steps": 31, "probabilities": [0.09171740636696295, 0.7966511080330144], "optimization_time": 36.08568620681763} | 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 | 2 | {"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(... | 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(-1.5158) 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... | [
"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 |
cf866b0685f0f2b92fc41e952765f334 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [23, 31], "expectation_value": -6.49998726393998, "params": null, "bitstrings": ["1101000", "1100000"], "total_optimization_steps": 36, "probabilities": [0.49999818069426316, 0.49999818069426316], "optimization_time": 35.975173234939575} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(2) + 0.25... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100000", "1101000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4389876603721047) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.3936411233317491) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(0.4389876603721047) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(0.4389876603721047) q[2];
cx q[3], q[2];
h ... | 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", "... | [
"IIIIIZZ",
"IIIZIZI",
"IIIIZZI",
"IIIZZII",
"ZIIIIIZ",
"ZIIIZII",
"IIZZIII",
"IIZIZII",
"ZIZIIII",
"IZIIIZI",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.75,
1,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1.25,
-0.25,
-0.75,
1.5,
0.25,
-0.5,
1
] | 0.619308 | [
0.4389876603721047,
0.3936411233317491,
-0.9640592261572137,
0.3473169744588019,
0.9763395609882711,
-0.671208939863871,
-0.6920954321912673,
0.9887089718505631
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 188 |
4d778fc08d555f5d794c80ebdd4cf032 | 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": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -12.608158514978578, "params": [0.0033, 0.0041, 0.0025, 0.0034000000000000002, 0.0024000000000000002, 0.0028, 0.0023, 0.0012000000000000001, 0.0023, 0.007, 0.0023, 0.0095, 0.0026000000000000003, 0.006500000000000001, 0.0023, 0.0059, 1.6141, 0.0002, 0.007, 0.0081, 0.0051, 0.0033, ... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.12632010655421677) q[0];
rz(1.8578626502860658) q[0];
rx(-0.000669354581534873) q[1];
rz(2.0703142827695533) q[1];
rx(0.0270665271796058) q[2];
rz(1.7439616172522454) q[2];
rx(0.024827761160138635) q[3];
rz(2.2582094671703317) q[3];
rx(-0.1257776751083039) 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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIZIIII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZZIIII",
"IZIZIIIII",
"IIIIIIZZI",
"IIIIZIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIZZII",
"IIIIIIIZI",
"... | [
-0.75,
-0.5,
-0.75,
-0.5,
-0.5,
-1,
-0.5,
-0.75,
2.75,
-0.75,
-0.25,
-1.5,
-0.25,
-1,
-0.75,
-0.5,
-0.75,
-0.75,
-0.75,
-0.25,
-0.75,
-0.25,
0,
0.5,
0.25,
1.25,
-0.5,
-1,
0.5
] | 0.985832 | [
-0.12632010655421677,
0.28706632349116823,
-0.0006693545815348728,
0.4995179559746564,
0.0270665271796058,
0.17316529045734858,
0.024827761160138635,
0.6874131403754353,
-0.12577767510830393,
0.39459743160431243,
0.06753267216512844,
0.6803025278602091,
0.022585476584377165,
0.343210858297... | {
"n_parameters": 70,
"n_qubits": 9,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 7 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [18, 3], "expectation_value": -15.361953434616456, "params": null, "bitstrings": ["101101", "111100"], "total_optimization_steps": 50, "probabilities": [0.10929342150093539, 0.6388706778346432], "optimization_time": 54.19690489768982} | 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 | 6 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | 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 | {"k": 4} | {"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(-0.069) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
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,
-5.75,
-6,
-5.75,
-5.75,
-5.5,
-5.25
] | 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 |
800f779aab5ac71650acd9af8d6964c8 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [69, 7], "expectation_value": -22.864627285265637, "params": null, "bitstrings": ["10111010", "11111000"], "total_optimization_steps": 87, "probabilities": [0.1081261806680195, 0.6151537257450127], "optimization_time": 195.66196942329407} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 6 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.43263153788651865) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.33347793652408547) q[1];
h q[2];
ry(-0.33347793652408547) q[2];
ry(-0.18921776981409477) q[3];
rz(-pi) q[3];
ry(-0.9937012523290137) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[2];
ry(0.33347793652408547) q[2];
cx q[... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
2.75,
-7,
-7,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.5
] | 0.974682 | [
-1.2455998084576945,
-0.37817131988348546,
-0.795027545328284,
-0.3978475091647948,
-0.27195749704621475,
-0.6669558730481709,
1.361511014481087,
1.3396044443315112,
-0.686274487160188,
1.0423394202220775,
-0.35908583330767535,
-0.2925604938850007,
-0.6062823621828345,
-0.4677930098758491,... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 23 |
9d0fda9991561362ccfc12e66c38b9f5 | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [61, 93], "expectation_value": -3.1570796975267292, "params": null, "bitstrings": ["11000010", "10100010"], "total_optimization_steps": 55, "probabilities": [0.07330224985660826, 0.7568195485491375], "optimization_time": 130.2730746269226} | 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)... | 1 | 8 | 2 | {"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.... | 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(-1.4868) 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... | [
"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,
-0.05096309531274679,
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 |
3531386beba6b0774804490460b57cef | 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": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "s... | {"states": [0, 1], "expectation_value": -16.841677121747747, "params": [0.0004, -0.1524, 0.0008, -0.1444, -0.0043, -0.2207, -0.0035, -0.22390000000000002, 0.0005, -0.2021, -0.0038, -0.2263, -0.0056, -0.2117, -0.0012000000000000001, -0.21050000000000002, -0.0035, -0.20850000000000002, -0.0047, -0.2028, -0.0033, -0.21910... | -1.0 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ ... | 5 | 9 | 3 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.22395844909424942) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.4594487259099615) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.22395844909424942) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.5726501004324798) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZZIIIII",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIZIIZI",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"... | [
-1,
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-1,
-0.75,
-1.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
4,
-1,
-0.75,
-1.5,
-0.5,
-0.25,
1,
-0.25,
-0.5,
-2,
-0.25,
3,
-0.25
] | 0.482113 | [
-0.22395844909424942,
-0.4594487259099615,
-0.5726501004324798,
-0.24342401502853306,
-0.579388992496363,
0.231586207665915,
-0.483314810268151,
-0.47682133312067565,
-1.4192722674742317,
1.471494663072129,
-1.2139952039638644
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 249 |
-7008750027838691469 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 3, 4, 5, 7, 8], [0, 1, 3, 4, 5, 6, 7, 8, 9], [0, 2, 3, 4, 5, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 9], [2, 3, 5, 6, 8], [1, 2, 3, 4, 5, 7, 8, 9], [0, 1, 2, 4, 5, 6, 7, 8]]} | {"states": [955, 947], "expectation_value": -1.1724935190908945, "params": [1.5812000000000002, -0.006900000000000001, 1.5664, 0.0083, 1.5417, 0.0031000000000000003, 1.595, 0.0083, 1.8594000000000002, 0.0149, 1.2721, 0.0081, 0.2023, 1.0384, 0.1942, 0.0027, 0.9037000000000001, -0.4117, 0.9429000000000001, 0.0035, 1.3960... | 0.06349206349206349 * (Z(0) @ Z(1)) + 0.06746031746031746 * (Z(2) @ Z(1)) + 0.06746031746031746 * (Z(2) @ Z(0)) + 0.06349206349206349 * (Z(3) @ Z(1)) + 0.06349206349206349 * (Z(3) @ Z(0)) + 0.11746031746031746 * (Z(3) @ Z(2)) + 0.08134920634920634 * (Z(4) @ Z(1)) + 0.08134920634920634 * (Z(4) @ Z(0)) + 0.08531746031746... | 7 | 10 | 1 | {"smallest_eigenvalues": [-1.2476190476190478], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2476190476190474, "smallest_bitstrings": ["0001001100"], "largest_eigenvalue": 6.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.521037299522195) q[0];
rz(0.09763517151700984) q[0];
rx(1.5846902726652123) q[1];
rz(-0.13081485760127895) q[1];
cx q[1], q[0];
rz(0.0014979998810641798) q[0];
cx q[1], q[0];
rx(1.529211992682375) q[0];
rz(-0.2625880258965907) q[0];
rx(1.601110058221093) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZIIZIIII"... | [
0.06349206349206349,
0.06746031746031746,
0.06746031746031746,
0.06349206349206349,
0.06349206349206349,
0.11746031746031746,
0.08134920634920634,
0.08134920634920634,
0.08531746031746032,
0.08134920634920634,
0.08134920634920634,
0.08134920634920634,
0.1353174603174603,
0.1313492063492063... | 0.97252 | [
1.5210372995221948,
0.09913317139807408,
1.5846902726652123,
-0.13081485760127895,
2.008511029177696,
0.15904630633610814,
-0.14040669980465564,
1.1138240814565863,
1.581323901114866,
-0.17207297541905947,
1.2066884295656564,
-0.06807369884231744,
0.5727015857023035,
0.405430862999728,
-... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -1.2476190476190478,
"target_ratio": 0.97,
"target_value": -1.2101904761904765
} | 10 |
-7856415917632805201 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [0, 1], [3, 7], [0, 7], [0, 4], [1, 2], [3, 6], [2, 3], [0, 6], [4, 5], [2, 4]]} | {"states": [35, 75], "expectation_value": -4.023185445149134, "params": null, "bitstrings": ["11011100", "10110100"], "total_optimization_steps": 62, "probabilities": [0.04060172979492973, 0.8155010744887193], "optimization_time": 82.34298372268677} | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) + ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["10110100", "01001011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[5];
rz(-0.6389231329572599) q[5];
cx q[7], q[5];
cx q[5], q[4];
rz(-0.6389231329572599) q[4];
cx q[5], q[4];
rz(6.6652470209760395e-09) q[5];
rx(0.7853981514993927) q[5];
cx q[7], q[0];
rz(-0.638... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[7], 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] = me... | [
"ZIZIIIII",
"ZIIIIIIZ",
"IIIIIIZZ",
"ZIIIZIII",
"IIZZIIII",
"IIIZIIIZ",
"IIIIIZZI",
"IIIIZZII",
"IIIZIZII",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII"
] | [
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
] | 0.484294 | [
-0.6389231329572599,
6.665246991608078e-9,
0.7853981514993926
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 88 |
f0c12db79dee0b687c7216d34d2c80e9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 6... | {"states": [1, 17], "expectation_value": -0.45940895762104145, "params": [[-0.0166, -0.032600000000000004, -0.047, -0.054200000000000005], [-0.0103, 0.009600000000000001, 0.047, 0.0577]], "bitstrings": ["1111110", "1101110"], "total_optimization_steps": 10, "probabilities": [0.011836085349139975, 0.012173064074364352],... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + -0.75 * Z(4) + 0.7... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1101110"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.45605851751608306) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.45605851751608306) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.45605851751608306) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.45605851751608306) 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": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IZIZIII",
"IIIZZII",
"ZIIIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
1.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
0.75,
-0.25,
-0.5,
-0.75,
0.75,
-0.75,
0.75
] | 0.570419 | [
-0.45605851751608306,
-0.12274039644831539,
0.1713832364029646,
1.4202059135694185,
-1.2442458492292447,
-1.3380302371622426
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 159 |
617e82648c426125f57348098f65c553 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [881, 865], "expectation_value": -100.79229859971878, "params": [-0.00030000000000000003, 0.40690000000000004, 0.6999000000000001, 0.0034000000000000002, 0.6938000000000001, 0.1081, 0.26730000000000004, 0.2518, 0.6972, 0.06520000000000001, 0.6459, 0.2019, 0.4494, 0.1743, -0.001, 0.4888, 0.2048, -0.2534, 0.15... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(3)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(10) @ Z(6)) + 7.5 * (Z(10) @ Z(9)) + 3.5 * Z(3) + 13.0 * Z(2) + 22.5 * Z(1) + 20.5 * Z(4) +... | 18 | 11 | 4 | {"smallest_eigenvalues": [-125.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -116.0, "smallest_bitstrings": ["10010011110"], "largest_eigenvalue": 208.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.14797321536129424) q[0];
rz(0.48119484384358735) q[0];
rx(0.7532902431840937) q[1];
rz(0.12124771022240025) q[1];
rx(0.7560456316740498) q[2];
rz(-0.06859059037175462) q[2];
rx(0.3108689705825983) q[3];
rz(0.1938718554298677) q[3];
rx(0.8773098096540792) 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, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZII",
"IIIIIIIZIZI",
"IIIIIIIIZZI",
"IIIIIIZIIZI",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIZIIIIIIZI",
"IIZIIIZIIII",
"IZIIIIIIZII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIZIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
3.5,
13,
22.5,
20.5,
9.5,
12.5,
2,
1,
10,
-11.5,
-12
] | 0.971827 | [
0.1479732153612942,
0.5336882837117704,
0.7532902431840937,
0.12124771022240025,
0.7560456316740498,
-0.06859059037175462,
0.3108689705825983,
0.1938718554298677,
0.8773098096540792,
-0.0009211434738043145,
0.8207652365198415,
0.18182391409513848,
0.1757921368486923,
-0.027779990771570673,... | {
"n_parameters": 126,
"n_qubits": 11,
"optimal_eigenvalue": -125,
"target_ratio": 0.97,
"target_value": -121.25
} | 12 |
8308404280368225489 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 6, 7], [0, 1, 2], [1, 4, 5], [0, 2, 4, 5, 6, 7, 8], [8, 1, 3, 6], [8, 2, 3, 5], [0, 1, 5, 6, 8], [8, 1, 5, 7], [1, 5, 6, 7], [0, 1, 3, 7, 8], [8, 1, 3, 5]]} | {"states": [426, 215], "expectation_value": -0.13375044764848518, "params": [[0.0757], [-0.0713]], "bitstrings": ["001010101", "100101000"], "total_optimization_steps": 10, "probabilities": [0.002099958957966352, 0.0021128283022967555], "optimization_time": 5.4606359004974365} | 0.25 * (Z(3) @ Z(6)) + 0.2738095238095238 * (Z(7) @ Z(6)) + 0.21666666666666667 * (Z(7) @ Z(3)) + 0.07380952380952381 * (Z(0) @ Z(6)) + 0.05 * (Z(0) @ Z(3)) + 0.07380952380952381 * (Z(0) @ Z(7)) + 0.21666666666666667 * (Z(1) @ Z(6)) + 0.21666666666666667 * (Z(1) @ Z(3)) + 0.21666666666666667 * (Z(1) @ Z(7)) + 0.2666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.673809523809524], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5095238095238104, "smallest_bitstrings": ["100101000"], "largest_eigenvalue": 11.000000000000002} | 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[3];
rz(0.26656904976117013) q[3];
cx q[6], q[3];
h q[7];
cx q[6], q[7];
rz(-0.12642849935473807) q[7];
cx q[6], q[7];
cx q[3], q[7];
cx q[6], q[0];
rz(0.0865762016735354) q[0];
cx q[6], q[0];
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] 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": []} | [
"IIZIIZIII",
"IZZIIIIII",
"IZIIIZIII",
"IIZIIIIIZ",
"IIIIIZIIZ",
"IZIIIIIIZ",
"IIZIIIIZI",
"IIIIIZIZI",
"IZIIIIIZI",
"IIIIIIIZZ",
"IIZIIIZII",
"IIIIIZZII",
"IZIIIIZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIZIZIIII",
"IZIIZIIII",
"IIIIZIIIZ",
"IIIIZIIZI",
"IIIIZIZII",
"IIZZIIIII",
"... | [
0.25,
0.2738095238095238,
0.21666666666666667,
0.07380952380952381,
0.05,
0.07380952380952381,
0.21666666666666667,
0.21666666666666667,
0.21666666666666667,
0.26666666666666666,
0.023809523809523808,
0.08333333333333333,
0.023809523809523808,
0.19047619047619047,
0.16666666666666666,
... | 0.977215 | [
0.26656904976117013,
-0.12642849935473807,
-0.041359294183491664,
0.0865762016735354,
-0.02842503769836993,
0.02835491386169505,
-0.0011686696599645004,
0.1116168681755508,
-0.06599431350426518,
0.003693245562370398,
-0.046177754542723846,
0.18635082039161843,
-0.01160711817497838,
0.04961... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -2.673809523809524,
"target_ratio": 0.97,
"target_value": -2.5935952380952383
} | 135 |
c12dc8bfc0d8e8bc2e65cda825a741ab | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [8, 4], "expectation_value": -0.3061373052471213, "params": [[0.2574], [-0.2469]], "bitstrings": ["0111", "1011"], "total_optimization_steps": 30, "probabilities": [0.08298373317695386, 0.08298373317695387], "optimization_time": 1.5500352382659912} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * Z(3) + 0.16666666666666674 * Z(0) + 0.16666666666666674 * Z(1) + -0.16666666666666666 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["1011"], "largest_eigenvalue": 2.3333333333333335} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.98693634562561) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.5702754027205156) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.5702754027205152) q[1];
rx(0.1809670407241956) q[1];
rz(-0.0605909341297176) q[2];
cx q[0], q[2];
rz(0.5702754... | 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(x1) q[1];
cx q[0], q[1];... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"ZIIZ",
"ZIZI",
"IIZZ",
"ZIII",
"IIIZ",
"IIZI",
"IZII"
] | [
-0.5,
-0.5,
0.33333333333333337,
-0.5,
0.16666666666666674,
0.16666666666666674,
-0.16666666666666666
] | 0.970753 | [
0.98693634562561,
0.5702754027205156,
-0.0605909341297176,
0.01052034470793032,
0.1809670407241956,
-0.4210489548362983,
0.17941461010927579,
-0.5310091518833534,
-0.24571524346239182,
1.169259756964969,
0.8653272313101511,
0.8751350731179494,
-0.4970495411829845,
-1.6475907910109493,
1.... | {
"n_parameters": 15,
"n_qubits": 3,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 68 |
8a5dc9be309c81780f6428266fc77bbc | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 1, "target": 2}]} | {"states": [375, 371], "expectation_value": -4.265029166332656, "params": [0.9979, 0.33390000000000003, 0.7502000000000001, 0.33580000000000004, 1.3934, 0.0436, 1.3925, 0.0235, 1.3943, 0.3431, 0.7556, 0.3599, 0.7621, -0.3442, 1.3939000000000001, -0.31770000000000004, 1.3919000000000001, -0.0955, 0.9903000000000001, 0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(8... | 18 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["100010001", "010001100", "100001010"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-2.322389483957614e-09) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-2.322389483957614e-09) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-2.322389483957614e-09) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-2.322389483957614e-09) q[3];
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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 2, "target": 1}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
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,
1.5,
1,
1,
1.5,
1,
1.25,
1,
1.25,
1.5
] | 0.714286 | [
-2.322389483957614e-9,
4.1451823289962644e-8,
1.57079638027508,
-1.5711130946503415,
1.570796330588283,
-1.5707963417037913
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 230 |
4e2f70adf965c859c016ba7845e205dc | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2}, {"capac... | {"states": [511, 447], "expectation_value": -10.660823123101714, "params": [[[0.0005, -0.0035], [0.0007, -0.0019], [0.0078000000000000005, 0.0021000000000000003], [0.6163000000000001, 0.003], [-0.0015, 0.0025], [0.0095, -0.0023], [0.0043, -0.0022], [0.0004, -0.002], [-1.4952, -0.013300000000000001], [0.4218, 0.0204]], ... | -0.5 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(7) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + 1.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9)... | 15 | 10 | 3 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["1001000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.08209464428895492) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(-8.395320764917761e-05) q[2];
cx q[3], q[2];
rz(1.5705642878294785) q[3];
rx(1.573842448868029) q[3];
h q[4];
h q[5];
h q[6];
cx q[0], q[6];
rz(-8.39532076491... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"IIIZIIIIZI",
"IIIIIIZZII",
"IIIIIIIZZI",
"IIZIIIIIZI",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIZIZIIII",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIZIIZIIII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZIIIZIIIII",
"IZIZIIIIII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZZIIIIIII",
"IIIIIIZIII"... | [
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.75,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
1.5,
-0.75,
-0.75,
-1.5,
-0.75,
-0.25,
-0.25,
-1.25,
-0.25,
0,
-1,
0,
-0.5,
1,
1.25,
0,
0.75
] | 0.839412 | [
-0.08209464428895492,
-0.00008395320764917761,
0.06986880025343446,
0.0030399335915787078,
0.00008626210937084866,
1.5705642878294783,
-1.5708101769120453,
-1.5708432019674272,
-1.5707543359281622,
-1.5707900060150517,
-1.5708295827358247,
1.5738424488680292
] | {
"n_parameters": 12,
"n_qubits": 10,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 313 |
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": [99, 115], "expectation_value": -2.814076294525194, "params": [0.0023, 0.0031000000000000003, 3.1395, 0.0027, 3.1386000000000003, 0.0002, 1.574, 0.0051, -0.0024000000000000002, 0.0037, -0.003, 0.0091, 3.1449000000000003, 0.009000000000000001, 3.1395, 0.0071, 0.0043, 0.003, 0.0007, 0.004200000000000001, 0.003... | 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 | 1 | {"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 |
26b0c21f43e0914291253fccea754cb4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [1, 29], "expectation_value": -4.895332345939513, "params": [[-0.1658, -0.1383], [0.1688, 0.16790000000000002]], "bitstrings": ["111110", "100010"], "total_optimization_steps": 20, "probabilities": [0.09012605479872707, 0.1064670946654521], "optimization_time": 2.6479434967041016} | -1.5 * (Z(0) @ Z(4)) + -2.0 * (Z(1) @ Z(3)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -2.75 * Z(4) + -0.25 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + 0.75 * Z(2) + 1.25 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010", "101010"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.10907579258365115) q[0];
h q[1];
ry(-0.2103859763398643) q[2];
rz(-pi) q[2];
h q[3];
ry(0.604260278838176) q[3];
cx q[1], q[3];
ry(-0.604260278838176) q[3];
cx q[1], q[3];
ry(1.6522313222015446) q[1];
ry(0.6066552576964641) q[3];
cx q[3], q[1];
ry(0.104131... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IZIIIZ",
"IIZIZI",
"IZIZII",
"IIZZII",
"ZZIIII",
"ZIIIIZ",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-2,
-1.5,
-0.75,
-0.25,
1.75,
-0.25,
-2.75,
-0.25,
0.5,
0.5,
0.75,
1.25
] | 0.970516 | [
-0.2181515851673023,
1.265828792876706,
-0.8838791587849417,
1.208520557676352,
1.756362495781696,
0.6066552576964641,
-0.20826234716030267,
0.12761223583215306,
-0.16017964400308954,
-1.111453342572607,
0.024964515180282365,
0.26199644891527213,
-0.4979140157648508,
-0.31833873611701424,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 25 |
08b9883600e02731f158b2b1d5d9c9bd | 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": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [3, 1], "expectation_value": -3.4199469017723523, "params": [[0.06520000000000001, 0.041, 0.0487], [-0.0743, -0.0443, -0.0371]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.019161883277106793, 0.025500146557445893], "optimization_time": 4.573136568069458} | -1.25 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + 3.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.25 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-18.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.1019184672717538) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.15303627208319998) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.2675488550582529) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(0.1019184672717538) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"IZZIIII",
"ZIIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"IIIIZZI",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIIIZI"
] | [
-1.25,
-2,
-1.5,
-1.25,
-0.75,
-1,
-0.5,
3.75,
-0.25,
-1.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1.5,
-0.25,
-0.75,
2.25,
2.5,
-0.5,
-1.75
] | 0.971263 | [
0.1019184672717538,
0.15303627208319998,
0.2675488550582529,
0.46476512296611683,
0.035813695834919695,
0.09530007768597705,
-0.15852781068968608,
0.07033331248619396,
0.7362223705722715,
-0.13317956850501755,
0.8131478071893592,
1.5095742138254278,
0.1498296177374479,
0.3121760974810467,
... | {
"n_parameters": 48,
"n_qubits": 7,
"optimal_eigenvalue": -18.75,
"target_ratio": 0.97,
"target_value": -18.1875
} | 235 |
88d08310cecbc7a3e83627c144340291 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [1910, 1398], "expectation_value": -1.166451698603669, "params": [1.9020000000000001, 0.0002, 1.5247000000000002, 0.0039000000000000003, 1.8995000000000002, 0.0029000000000000002, 0.9842000000000001, 0.0004, 1.9091, 0.0076, 1.8938000000000001, 0.0083, 1.8988, 0.0014, 1.5174, 0.0, 1.9068, 0.0037, 1.8981000000... | 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(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 16 | 11 | 1 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.8125, "smallest_bitstrings": ["01010100001", "00110001001", "01000110001", "10000011001", "01010000011", "01010001001", "10010001001"], "largest_eigenvalue": 6.1875} | 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIIZZIIZ",
"IIIIIZIZIIZ",
"IIIIIZZIIIZ",
"IIIIIZZZIII",
"IIIIIZZZIIZ",
"IIIIZIIZIII",
"IIIIIIZIIZI",
"IIIZIIIIIZI",
"IIZIIIIII... | [
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,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,... | 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 |
5e1f1e75ba04327de43b1491321a7511 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 0, ... | {"states": [67, 1], "expectation_value": -0.9894328374670652, "params": [[0.0636, -0.0193], [-0.059500000000000004, -0.022000000000000002]], "bitstrings": ["10111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005952831122720955, 0.006127863098086241], "optimization_time": 3.2670798301696777} | -0.75 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.75 * (Z(5) @ Z(3)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.28663161818796734) q[0];
h q[1];
h q[2];
ry(-1.6210146603569464) q[2];
h q[3];
ry(-1.6210146603569464) q[3];
h q[4];
ry(-1.6210146603569464) q[4];
ry(-0.2510354001517809) q[5];
rz(-pi) q[5];
h q[6];
ry(0.6181421229289458) q[6];
cx q[1], q[6];
ry(-0.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIIZIII",
"IZIIIIZI",
"ZZIIIIII",
"IIZIIZII",
"IIZZIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII"
] | [
-0.75,
-1.5,
-0.75,
3.25,
-0.25,
-0.5,
-0.25,
-1,
-0.5,
-0.75,
-1.5,
-1.75,
0.5,
-0.25,
-0.25,
0.75,
2.5,
-2.25,
-0.5,
-0.5
] | 0.974536 | [
1.6268721490235387,
-2.1726476528244962,
-1.6210146603569464,
-1.2411755802850961,
1.2362842458578915,
-1.0503144986838098,
-0.3427277786644807,
-0.7765492679923298,
-1.1729325369956523,
-1.0244981473774728,
0.6304394156832644,
-0.6913760511837018,
0.5549559263937737,
-0.15717069271603917
... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 15 |
fc2a0aab6aa71710f421b73642e2514f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [12, 50], "expectation_value": -0.9313705562906645, "params": [[-0.048400000000000006, -0.0726, -0.0732], [0.0504, 0.0651, 0.0674]], "bitstrings": ["110011", "001101"], "total_optimization_steps": 10, "probabilities": [0.02524704524980676, 0.02667592772895198], "optimization_time": 3.8108913898468018} | 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... | OPENQASM 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;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"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 |
2587244433093661736 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 7], [0, 3, 5], [1, 2, 3], [8, 0, 4], [0, 8, 3], [3, 6, 7], [2, 4, 7], [8, 2, 3], [0, 1]]} | {"states": [251, 187], "expectation_value": -1.6977374417289348, "params": [0.6594, -0.0502, 0.5893, 0.0035, 0.9974000000000001, 0.0342, 1.0036, 0.008400000000000001, 0.9830000000000001, -0.1275, 0.7931, 0.0015, 1.0019, 0.046400000000000004, 1.0004, 0.009300000000000001, 1.0037, 0.058800000000000005, 1.0032, 0.0073, 1.... | 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.3333333333333333 * (Z(2) @ Z(3)) + 0.1666666666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.333333333333333, -3.333333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["010001011", "101000100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.02592155965163824) q[0];
rz(2.0022406635641588) q[0];
rx(1.8781083526788496) q[1];
rz(1.7911404313408763) q[1];
rx(0.048280933046588856) q[2];
rz(1.494812581271793) q[2];
rx(1.7775065744938456) q[3];
rz(1.7033077208381737) q[3];
rx(1.4476227328472393) q[4];
rz(1.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIIZ",
"IZIIIZIII",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIIIIIZZ",
"IIIIIZIZI",
"IZIIIIZII",
"IIIIIZZII",
"IIIIIIZZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIIIIZII",
"IZIIZIIII",
"IIIIZIIIZ",
"IIIIZIZII",
"ZIIIZIIII",
"IZZIIIIII",
"IIZIIZIII",
"IZIIIIIII",
"IIIIIIIIZ",
"... | [
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666... | 0.970502 | [
-0.02592155965163824,
0.43144433676926164,
1.8781083526788496,
0.2203441045459799,
0.04828093304658886,
-0.07598374552310387,
1.7775065744938456,
0.13251139404327764,
1.447622732847239,
0.14587394916262691,
0.6453638521211912,
0.6699609356498007,
0.19534191011574012,
0.03651759906833981,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -3.333333333333333,
"target_ratio": 0.97,
"target_value": -3.233333333333333
} | 74 |
-8681032418437515509 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6], [0, 6], [1, 3], [0, 7], [1, 4], [2, 4], [3, 5]]} | {"states": [103, 152], "expectation_value": -0.07544255670848951, "params": [[0.0733], [-0.07490000000000001]], "bitstrings": ["10011000", "01100111"], "total_optimization_steps": 10, "probabilities": [0.0045246157711195415, 0.0045246157711195415], "optimization_time": 0.5175395011901855} | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["10011000", "01100111"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.04770309945142765) q[0];
rz(-1.2462279132851055) q[0];
rx(1.9666492688738186) q[1];
rz(0.1304906475601033) q[1];
rx(1.5444016794522553) q[2];
rz(0.426092964029233) q[2];
rx(0.08433456470389725) q[3];
rz(1.3873421987891748) q[3];
rx(0.20764190930474882) q[4];
rz(1.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[0]... | null | {"circuits": [], "gradients": []} | [
"IZIIZIII",
"IZIIIIIZ",
"IIIIZIZI",
"ZIIIIIIZ",
"IIIZIIZI",
"IIIZIZII",
"IIZIZIII",
"IZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.975557 | [
0.04770309945142765,
-0.8708224658028467,
1.9666492688738184,
0.13920804700799944,
1.5444016794522555,
0.44842888632863975,
0.08433456470389725,
1.047899749951685,
0.2076419093047488,
1.286618177816035,
2.059253324412485,
0.33481424942687876,
1.7246099545945948,
0.2060072174348552,
1.621... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 45 |
f20b14ccaf46fd91ed39b9c05edbe906 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 8, "source":... | {"states": [117, 59], "expectation_value": -16.981638279157657, "params": [[0.037200000000000004, -0.0285, 0.0011, 0.031400000000000004], [-0.06430000000000001, -0.0044, -0.0182, -0.0514]], "bitstrings": ["0001010", "1000100"], "total_optimization_steps": 10, "probabilities": [0.016174809942132894, 0.018304000613801025... | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(3) @ Z(2)) + 3.0 * (Z(4) @ Z(1)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + 13.0 * Z(1) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-53.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.0, "smallest_bitstrings": ["1000100"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"IZIIZII",
"IZZIIII",
"ZIIIIZI",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
13,
7.5,
15.5,
16,
13,
9,
14
] | 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 |
9c1ee192c2f57fe7cc46ca444fd40044 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [0, 1], "expectation_value": -7.066948832675757, "params": [[[0.0037, 0.4894], [0.0022, 0.6131], [0.0057, 0.1038], [0.0029000000000000002, 0.4948], [0.0011, 0.268], [0.8046000000000001, 0.0029000000000000002]], [[0.0037, 0.0083], [0.0022, 0.008700000000000001], [-0.0008, 0.008], [0.0027, 0.0095], [0.0046, 0.... | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.75 *... | 1 | 6 | 2 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4280305935609409) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.586367014293522) q[4];
cx q[1], q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.586367014293522) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.4280305935609409... | OPENQASM 3.0;
include "stdgates.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",
"IZIIZI",
"IZIIIZ",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-1,
-0.75,
-0.75,
-0.75,
-0.75,
-1,
-0.5,
-0.75,
2,
-0.25,
-1,
-1.5,
-0.25,
0,
0.25,
0.75,
0.75
] | 0.573914 | [
-0.4280305935609409,
-0.586367014293522,
-0.5941967814927773,
0.9893183086380308,
-0.015078214242113929,
-0.4197495527732082,
-0.00750719659323729,
0.17460404483085798,
0.3564795609965509,
-0.9246051704663378
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 223 |
8c44c442a25e00dfae4e1647b2faf79f | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [1, 3], "expectation_value": -4.406554583874641, "params": [[[0.2929, -0.09050000000000001], [0.1052, -0.1942], [0.0951, -0.1951], [0.48660000000000003, 0.0007], [0.49860000000000004, -0.0013000000000000002]], [[0.2948, -0.09050000000000001], [0.10400000000000001, -0.194], [0.0955, -0.195], [0.4878, 0.0007],... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
1.75,
2,
2,
1.75,
-2.75,
-2.5,
-2.75,
-2.5,
-2.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
2f9748d259d55a5f303ac02652806401 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 5, "source": ... | {"states": [2048, 2047], "expectation_value": -38.76873896090037, "params": [[[-0.006200000000000001, -0.132], [0.0011, 0.0002], [0.0032, 0.0029000000000000002], [0.0031000000000000003, 0.0023], [0.006, 0.002], [0.0016, 0.0027], [0.0079, -0.0028], [0.0005, 0.0029000000000000002], [-0.0032, -0.0026000000000000003], [0.0... | -0.5 * (Z(0) @ Z(7)) + -1.25 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(0)) + -0.75 * (Z(11) @ Z(7)) + -1.25 * (Z(11) @ Z(0)) + -1.25 * (Z(1) @ Z(7)) + -2.0 * (Z(1) @ Z(9)) + -0.75 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -0.75 * (Z(8) @ Z(11)) + -0.75 * (Z(8) @ Z(1)) + -1.25 * (Z(10) @ Z(7)) + -1.0 * (Z(10) @ Z(9)) + -2.5 * (... | 15 | 12 | 4 | {"smallest_eigenvalues": [-39.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.25, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 23.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.11671463111788032) q[0];
ry(0.07529291733798973) q[1];
ry(-0.009022443574858182) q[2];
ry(-0.054389195774138296) q[3];
ry(-0.17000834439674764) q[4];
ry(0.059008154478725414) q[5];
ry(0.06332112118589008) q[6];
ry(0.1871353596030696) q[7];
ry(-0.08903050556996585... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIZ",
"IIZIZIIIIIII",
"IIZIIIIIIIIZ",
"ZIIIZIIIIIII",
"ZIIIIIIIIIIZ",
"IIIIZIIIIIZI",
"IIZIIIIIIIZI",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"ZIIZIIIIIIII",
"IIIZIIIIIIZI",
"IZIIZIIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"IZIIIIIIIIZI",
"IZIZIIIIIIII",
"IIIIIIIIZIIZ",
"IIZIIIIIZ... | [
-0.5,
-1.25,
-1,
-0.75,
-1.25,
-1.25,
-2,
-0.75,
-1,
-0.75,
-0.75,
-1.25,
-1,
-2.5,
-2,
-1.5,
3,
-0.5,
-1,
-1.75,
-0.25,
-0.75,
-1.5,
-2.25,
-1.75,
-0.75,
-0.5,
-0.25,
-1,
-0.5,
-0.5,
-0.75,
-1.25,
-1.75,
-2,
-1.25,
-1.5,
1.25,
-0.25,
-0.... | 0.971001 | [
-0.11671463111788032,
0.07529291733798973,
-0.009022443574858182,
-0.054389195774138296,
-0.17000834439674764,
0.059008154478725414,
0.06332112118589008,
0.1871353596030696,
-0.08903050556996585,
-0.07286073828651182,
-1.5254185157666706,
-0.14990971866489136,
0.024067337901270566,
0.06367... | {
"n_parameters": 53,
"n_qubits": 12,
"optimal_eigenvalue": -39.25,
"target_ratio": 0.97,
"target_value": -38.0725
} | 20 |
983d232d5136b312922dcf1830271c0d | 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": 3, "source": 0, "target": 6}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target":... | {"states": [1528, 999], "expectation_value": -2.1781941159752023, "params": [[-0.9854, 0.0025, -0.7791, 1.5682, -0.1245, 1.5733000000000001, 0.0023, 0.9656, -0.00030000000000000003, 1.5687, 1.1912], [-0.002, -0.7844, 0.0024000000000000002, 0.5264, 0.0019, 0.006, -0.0023, 1.5732000000000002, -0.0024000000000000002, 0.94... | -0.75 * (Z(0) @ Z(7)) + -1.25 * (Z(8) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -1.25 * (Z(5) @ Z(1)) + -0.75 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(8)) + -1.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(5)) + -1.0 * (Z(10) @ Z(7)) + -1.25 * (Z(10) @ Z(8)) + -0.5 * (Z(10) @ Z(1)) + -0.25 * (Z(10) @ Z(5)) + -0.75 * (Z(10) @ Z(9)) + -0.5 *... | 9 | 11 | 4 | {"smallest_eigenvalues": [-21.5, -21.5, -21.5, -21.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -20.5, "smallest_bitstrings": ["10000001000", "10000011000", "10010011000", "10010001000"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] 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];
cz q[10], q[9];
rx(1.5707962667190252) q[10];
h q[10];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIZ",
"IIZIIIIIIIZ",
"IIIIIIIZIZI",
"IIIIIZIIIZI",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IZIIIIIIIZI",
"IZIIIZIIIII",
"ZIIZIIIIIII",
"ZIZIIIIIIII",
"ZIIIIIIIIZI",
"ZIIIIZIIIII",
"ZZIIIIIIIII",
"IIIZIIIIZII",
"IIIIIIIIZIZ",
"IIZIIIIIZII",
"IIIIIIIIZZI",
"IZIIIIIIZII",
"IIIIIIZZI... | [
-0.75,
-1.25,
-1.25,
-1.25,
-0.75,
-2.5,
-1.25,
-0.25,
-1,
-1.25,
-0.5,
-0.25,
-0.75,
-0.5,
2.25,
-0.25,
-1,
-0.5,
-1,
-0.75,
-1.25,
-0.25,
-1.25,
-0.5,
-0.5,
-0.25,
-0.75,
-2.5,
-0.25,
-1.75,
-2.25,
4.5,
0.25,
0.75,
3.25,
0,
-1,
-1
] | 0.139535 | [
-1.5707963987976055,
6.295721308733823e-8,
-1.0729140365032575,
1.5707963392721827,
0.5522640372851726,
1.5707964395931169,
-1.8274360145550813e-7,
1.5707959944667471,
1.2914756678742126e-7,
1.570796390967667,
1.5707962667190252,
-1.9235932996393452e-7,
-0.49788221802104227,
-1.18654259214... | {
"n_parameters": 40,
"n_qubits": 11,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 500 |
461a504b9826e7d1bfc1c6f1845a3d83 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [796, 797], "expectation_value": -2.2160922542665205, "params": [2.4174, 0.0057, 2.8024, 0.009600000000000001, 0.006500000000000001, 0.0053, 0.0028, 0.0005, -0.0027, 0.0077, 3.1594, 0.00030000000000000003, 3.1614, 0.0004, 3.1618, 0.0019, 0.8084, 0.0034000000000000002, 1.6035000000000001, 0.009600000000000001... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(0) @ Z(8)) + 0.125 * (Z(6) @ Z(7)) + 0.... | 16 | 10 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.125, "smallest_bitstrings": ["0011000101", "0010101010", "0010101001", "0011100010", "0100111000", "01010101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.03120252051460415) q[0];
rz(-0.6684701198601921) q[0];
ry(0.47876009748390536) q[1];
rz(0.3409262400185791) q[1];
cx q[1], q[0];
ry(0.14721294990200087) q[0];
rz(-0.45360264503939646) q[0];
ry(0.3435984053258038) q[1];
rz(-0.9384988858791737) q[1];
ry(0.5169658127... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZZZIII",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIZZIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIZZIIIIIZ",
"IZIZIIIIIZ",
"IZZIIIIIIZ",
"IZZZIIIIII",
"IZZZIIIIIZ"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0,
0,
-0.25,
-0.25,
0,
-0.125,
-0.125,
0.125... | 0.973389 | [
0.03120252051460415,
-0.6684701198601921,
0.47876009748390536,
0.3409262400185791,
0.5169658127997544,
-0.22069112448161554,
0.06422803559439964,
-0.30958082367571615,
0.31722338761086294,
-0.20828006918348035,
0.020606661659462955,
-0.45125081741926987,
-0.041715055063670695,
0.7212509705... | {
"n_parameters": 143,
"n_qubits": 10,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 164 |
-9121291166032794744 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 4, 5, 7, 8, 10], [4, 5, 8, 9, 11], [3, 5, 8, 9, 11], [1, 11, 4, 5], [1, 2, 7], [0, 1, 2, 3, 4, 6, 9], [0, 1, 2, 3, 6, 8, 9], [2, 3, 7, 9, 10, 11], [0, 1, 2, 4, 6, 9, 11], [2, 5, 6, 7], [0, 6, 9, 10, 11], [8, 4, 6], [1, 2, 3, 6, 9, 11], [0, 1, 5, 9, 10... | {"states": [3582, 3580], "expectation_value": -4.31364770833658, "params": [1.0219, -0.0134, 1.0211000000000001, 0.00030000000000000003, 1.2908000000000002, 0.1396, 1.2890000000000001, 0.3904, 0.6425000000000001, -0.3135, 0.6491, 0.0033, 1.1828, -0.012400000000000001, 1.2659, 0.0212, 1.2824, 0.0033, 1.2793, 0.0083, 1.2... | 0.08095238095238094 * (Z(0) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666669 * (Z(5) @ Z(0)) + 0.06666666666666667 * (Z(7) @ Z(4)) + 0.08333333333333334 * (Z(7) @ Z(0)) + 0.2 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(8) @ Z(4)) + 0.2238095238095238 * (Z(8) @ Z(0)) + 0.21666666666666667 * (Z(8) @ Z(5))... | 8 | 12 | 1 | {"smallest_eigenvalues": [-5.692857142857145], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.692857142857141, "smallest_bitstrings": ["001000000011"], "largest_eigenvalue": 27.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.845439950623081) q[0];
rz(1.5937853501053452) q[0];
rx(1.797642816287116) q[1];
rz(-0.013364456495460843) q[1];
cx q[1], q[0];
ry(-0.046134043030269786) q[0];
cx q[1], q[0];
ry(0.9778964170615736) q[0];
rz(-1.3344883376861874) q[0];
rx(1.2856663511641084) q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIIZZIIII",
"IIIIIIZIIIIZ",
"IIIIZIIZIIII",
"IIIIZIIIIIIZ",
"IIIIZIZIIIII",
"IIIZIIIZIIII",
"IIIZIIIIIIIZ",
"IIIZIIZIIIII",
"IIIZZIIIIIII",
"IZIIIIIZIIII",
"IZIIIIIIIIIZ",
"IZIIIIZIIIII",
"IZIIZIIIIIII",
"IZIZIIIIIIII",
"IIZIIIIZIIII",
"IIZIIIIIIIIZ",
"IIZIIIZII... | [
0.08095238095238094,
0.3333333333333333,
0.16666666666666669,
0.06666666666666667,
0.08333333333333334,
0.2,
0.3333333333333333,
0.2238095238095238,
0.21666666666666667,
0.15,
0.23333333333333334,
0.21666666666666667,
0.3,
0.1,
0.15,
0.14761904761904762,
0.25476190476190474,
0.1500... | 0.976424 | [
1.845439950623081,
0.02298902331044861,
1.797642816287116,
-0.013364456495460843,
0.02785679722639962,
-0.21841898519362574,
0.7706630659748921,
-0.05748889878479904,
1.6291522404798024,
-0.16487635814567608,
1.0602399149517199,
0.07572369931415941,
1.282038356811847,
0.13941782483051554,
... | {
"n_parameters": 56,
"n_qubits": 12,
"optimal_eigenvalue": -5.692857142857145,
"target_ratio": 0.97,
"target_value": -5.52207142857143
} | 18 |
1467f39e5cf35ddc8dc0e8c5ce193cb6 | 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": [219, 218], "expectation_value": -42.80518850155778, "params": [0.3841, 0.1422, 0.6008, 0.026000000000000002, 0.5943, 0.033, 0.3003, 0.1515, 0.604, -0.0013000000000000002, 0.5982000000000001, 0.032600000000000004, 0.2681, 0.19440000000000002, 0.6004, 0.06520000000000001, 0.3985, 0.1198, 0.3826, 0.1228, 0.598... | 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(3) @ Z(5)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(7) @ Z(8)) + 11.5 * Z(1) + 8.5 * Z(2) + 3.5 * Z(0) + 9.0 * Z(5) + 20.5 * Z(4) + 1.5 * Z(3) ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 132.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.2726832808677673) q[0];
rz(-0.1710517880595117) q[0];
rx(1.1027189171265208) q[1];
rz(-0.06413789631551954) q[1];
rx(0.5541240608214966) q[2];
rz(0.1487552551840242) q[2];
rx(0.08092908856186468) q[3];
rz(0.47206005660870465) q[3];
rx(0.5994399838972897) 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] x11;
input float[64] x12;
input float[64] x13;
inpu... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIZZIIII",
"IIIZIZIII",
"IIIIZZIII",
"IIZIZIIII",
"ZIIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIZIIII",
"IIIIIZIII",
"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,
11.5,
8.5,
3.5,
9,
20.5,
1.5,
1,
4.5,
11.5
] | 0.970924 | [
0.27268328086776733,
-0.05154747565388533,
1.1027189171265208,
-0.06413789631551954,
0.5541240608214966,
0.1487552551840242,
0.08092908856186468,
0.47206005660870465,
0.5994399838972897,
-0.03648859798968074,
0.6963532760192509,
0.13445177459490487,
0.03660771992068473,
0.2323474918497195,... | {
"n_parameters": 107,
"n_qubits": 9,
"optimal_eigenvalue": -78,
"target_ratio": 0.97,
"target_value": -75.66
} | 17 |
3050997451413098138 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 9, 1], [0, 1, 3, 4, 5, 6, 7, 8, 10, 11], [0, 1, 2, 3, 4, 5, 6, 7, 10], [0, 2, 3, 4, 5, 6, 7, 8, 9, 10], [2, 3, 5, 6, 7, 8, 9, 11], [0, 2, 6, 9, 11], [1, 2, 3, 4, 5, 6, 8, 9, 10], [1, 2, 3, 5, 6, 7, 8, 9, 10], [3, 4, 5, 9, 11], [1, 3, 5, 6, 7, 8, 9, 10... | {"states": [3915, 3931], "expectation_value": -2.0332678207061665, "params": [[[3.1394, 0.0054], [3.1615, 0.006200000000000001], [3.1438, 0.0037], [3.1388000000000003, 0.0005], [0.0012000000000000001, 0.0051], [3.1444, 0.009300000000000001], [-0.0036000000000000003, 0.0089], [1.641, 0.004200000000000001], [3.1443000000... | 0.22777777777777775 * (Z(0) @ Z(9)) + 0.21944444444444444 * (Z(1) @ Z(9)) + 0.19166666666666665 * (Z(1) @ Z(0)) + 0.13174603174603175 * (Z(3) @ Z(9)) + 0.036111111111111115 * (Z(3) @ Z(0)) + 0.07777777777777778 * (Z(3) @ Z(1)) + 0.08611111111111112 * (Z(4) @ Z(9)) + 0.036111111111111115 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @... | 1 | 12 | 1 | {"smallest_eigenvalues": [-2.067460317460317, -2.067460317460317, -2.067460317460317, -2.067460317460317, -2.067460317460317, -2.067460317460317], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0674603174603168, "smallest_bitstrings": ["000100000110", "000000100110", "100100001000", "000010100100", "10... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.1221226857374504) q[0];
rz(0.09773234499821867) q[0];
rx(3.237449926633514) q[1];
rz(0.10584610380113464) q[1];
rx(3.1695093389402684) q[2];
rz(0.008026551477339074) q[2];
rx(3.1576459165540745) q[3];
rz(-0.1300660431853322) q[3];
rx(-0.013545710115645572) 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": []} | [
"IIZIIIIIIIIZ",
"IIZIIIIIIIZI",
"IIIIIIIIIIZZ",
"IIZIIIIIZIII",
"IIIIIIIIZIIZ",
"IIIIIIIIZIZI",
"IIZIIIIZIIII",
"IIIIIIIZIIIZ",
"IIIIIIIZIIZI",
"IIIIIIIZZIII",
"IIZIIIZIIIII",
"IIIIIIZIIIIZ",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIZIIIIII",
"IIIIIZIIIIIZ",
"IIIIIZIII... | [
0.22777777777777775,
0.21944444444444444,
0.19166666666666665,
0.13174603174603175,
0.036111111111111115,
0.07777777777777778,
0.08611111111111112,
0.036111111111111115,
0.05,
0.11111111111111112,
0.12063492063492065,
0.036111111111111115,
0.06666666666666667,
0.14563492063492067,
0.1,
... | 0.981041 | [
3.1221226857374504,
0.09773234499821867,
3.237449926633514,
0.10584610380113464,
3.1695093389402684,
0.008026551477339074,
3.1576459165540745,
-0.1300660431853322,
-0.013545710115645572,
0.18564270537945382,
3.1615323042568346,
-0.07900424503986941,
-0.13618182528491013,
-0.108748372110841... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -2.067460317460317,
"target_ratio": 0.97,
"target_value": -2.0054365079365075
} | 1 |
9915ff93784d747e82bcd9a73a2399e5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [1, 9], "expectation_value": -1.581248506897612, "params": [[[0.5505, 0.006200000000000001], [1.6054000000000002, 0.003], [0.0023, 0.0027], [0.0025, 0.0081], [1.6069, 0.0039000000000000003]]], "bitstrings": ["11110", "10110"], "total_optimization_steps": 160, "probabilities": [0.23159470980851918, 0.24818634... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + -0.125 * (Z(1) @ Z(4) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(2)) + 0.12... | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.625, "smallest_bitstrings": ["10110"], "largest_eigenvalue": 4.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"IZIZI",
"ZIIZI",
"IZZII",
"ZIZII",
"ZZIII",
"IZZZI",
"ZIZZI",
"ZZIZI",
"ZZZII",
"ZZZZI",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.5,
-0.125,
-0.625,
-0.625,
-0.125
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
79dbb46672568dd6da53fdf988683370 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 2, "source": 0, "t... | {"states": [118, 110], "expectation_value": -27.47849755501106, "params": [[-0.0354, -0.0044, 0.0032, 0.0198], [0.0772, 0.0659, 0.0636, 0.0523]], "bitstrings": ["10001001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.01716368614964954, 0.024611296667710433], "optimization_time": 7.137981414794922} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 10.0 * Z(1) + 5.5 * Z(0) + 14.5 * Z(4) + 15.0 * Z(2) + 7... | 1 | 8 | 4 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 132.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-0.14739604000192053) q[0];
ry(3.019875982413196) q[0];
rz(3.133045858754553) q[0];
rz(0.14681821349369484) q[1];
ry(0.16625292729472163) q[1];
rz(1.4294168654831019) q[1];
rz(1.2186812571693961) q[2];
ry(0.32253940399967884) q[2];
rz(-1.632413822773313) q[2];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIIIZIZ",
"IIIZIZII",
"IIIZZIII",
"IIIIZZII",
"IIZIIIIZ",
"IIZIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
5.5,
14.5,
15,
7,
14.5,
11,
1
] | 0.976253 | [
0.7464408162705116,
-0.033729247253251216,
-0.11552461607907104,
0.5196528554019153,
0.0886254211082439,
-0.17444899387284873,
0.8983531351940277,
0.003628901528802731,
-0.29980800833140264,
0.7491406770668805,
-0.004650044602488298,
0.13723474935698732,
-0.19427224913628832,
0.18990325270... | {
"n_parameters": 54,
"n_qubits": 8,
"optimal_eigenvalue": -42.5,
"target_ratio": 0.97,
"target_value": -41.225
} | 14 |
cccde4707d298ae394e20cc161e11586 | 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": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "s... | {"states": [1, 9], "expectation_value": -0.8585731336323994, "params": [[-0.0692], [0.07590000000000001]], "bitstrings": ["111111110", "111110110"], "total_optimization_steps": 10, "probabilities": [0.002969373277811936, 0.002977526398821722], "optimization_time": 2.698460102081299} | -0.5 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["111110110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.05421342206995221) q[0];
rz(2.472793468584289) q[0];
rx(-0.09375759374281041) q[1];
rz(2.917477635073352) q[1];
rx(0.25161845486511375) q[2];
rz(1.5974753074152792) q[2];
rx(0.005844577706896247) q[3];
rz(2.6587657285286665) q[3];
rx(0.01727117515975269) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIIIIIZI",
"IIZIZIIII",
"IZZIIIIII",
"IIZIIIIZI",
"IIIIZIZII",
"IZIIIIZII",
"IIIIIIZZI",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"ZIIIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"... | [
-0.5,
-0.75,
-0.25,
-1,
-1,
-0.5,
-0.75,
-2,
-1,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
2.25,
-0.5,
-0.25,
-0.25,
-0.25,
0.5,
-0.25,
-1,
1.25,
-2.75,
0.25,
0.5,
0.5,
1
] | 0.970013 | [
-0.05421342206995221,
0.9019971417893926,
-0.0937575937428104,
1.3466813082784552,
0.25161845486511375,
0.02667898062038268,
0.005844577706896246,
1.0879694017337702,
0.01727117515975269,
1.0719536248129202,
-0.9736904409911167,
0.037313040150841414,
1.1827146526257986,
1.164820999137664,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 3 |
4700601e722e5f0a0c40acc2968ffc97 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [9, 3], "expectation_value": -6.98539458460684, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.12796174980966527, 0.6649528209913563], "optimization_time": 21.383066177368164} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.75 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 16 | 5 | 2 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["01110", "11100"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
2,
1.75,
2,
2,
-2.75,
-2.75,
-2.75,
-2.5,
-2.25
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
-8855293776304507567 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 5, 6], [1, 3], [4, 5], [0, 4], [8, 7], [10, 2, 4], [0, 3, 7], [0, 3, 6], [9, 5], [1, 2]]} | {"states": [1498, 1490], "expectation_value": -3.1264729421345367, "params": [1.2986, -0.09920000000000001, 1.2992000000000001, 0.0027, 0.2904, -0.3808, 0.2857, 0.004, 1.2977, -0.0432, 1.2996, 0.006, 1.3052000000000001, -0.0881, 1.3017, 0.0076, 1.2943, -0.0117, 1.2956, 0.006900000000000001, 0.46330000000000005, 0.5047,... | 0.16666666666666666 * (Z(9) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(9)) + 0.166... | 5 | 11 | 1 | {"smallest_eigenvalues": [-4.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.000000000000001, "smallest_bitstrings": ["01000101101"], "largest_eigenvalue": 7.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.6855971296519132) q[0];
rz(0.3748305672977845) q[0];
rx(0.029789440247683974) q[1];
rz(-0.4214240721495264) q[1];
rx(1.5774799954595857) q[2];
rz(-0.006487533161158687) q[2];
rx(1.3459206519392164) q[3];
rz(-0.3205733393231771) q[3];
rx(1.5842901674546181) 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": []} | [
"IZIIZIIIIII",
"IIIZZIIIIII",
"IZIZIIIIIII",
"IIIZIIZIIII",
"IIIIIIZIIZI",
"IIIIZZIIIII",
"IIIZIIIIIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IZZIIIIIIII",
"IIZIIIZIIII",
"IIZIIIIIIIZ",
"IIIIIZIIZII",
"IIIIIIIZIZI",
"IIIIIZIZIII",
"IIIIIIIZZII",
"ZIIIZIIIIII",
"IIIIZIIIIII",
"IZIIIIIII... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666674,
... | 0.970089 | [
1.685597129651913,
0.4220640037610206,
0.02978944024768398,
-0.20606293099971656,
1.5774799954595857,
-0.013489697923576766,
1.345920651939216,
-0.3443977511294092,
1.5842901674546181,
-0.1944719916355358,
0.0679439375270198,
0.6461161152007109,
1.4855637629169645,
-0.34260093778018597,
... | {
"n_parameters": 55,
"n_qubits": 11,
"optimal_eigenvalue": -4.333333333333333,
"target_ratio": 0.97,
"target_value": -4.203333333333333
} | 59 |
82b7510e3c4f18f03c81315097910da2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capaci... | {"states": [1, 31], "expectation_value": -6.266123250957764, "params": null, "bitstrings": ["111110", "100000"], "total_optimization_steps": 45, "probabilities": [0.06491054619726463, 0.7440517742297588], "optimization_time": 42.345614194869995} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(5) + -0.25 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-6.581916184979591e-07) q[0];
h q[1];
ry(0.6434977519720617) q[1];
h q[2];
ry(0.6434977519720617) q[2];
h q[3];
h q[4];
ry(0.785398270325911) q[4];
cx q[3], q[4];
ry(-0.785398270325911) q[4];
cx q[3], q[4];
ry(0.6154797530425266) q[3];
cx q[4], q[3];
ry(-0.61... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5626) 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] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"IIIZZI",
"IIZIZI",
"IIZZII",
"IZIIZI",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
-0.25,
-0.75,
0.5,
-0.25,
-1,
-0.75,
-1,
-1.25,
-1.5,
0.25,
-0.25,
-0.25,
-0.25,
0.25,
0.25
] | 0.965517 | [
1.570796540651822,
1.2309595060850531,
1.2869955039441234,
-1.5707961133230497,
1.8545964968194282,
-0.39631419127463324,
0.6801154830436662,
1.570796550632477,
-0.0000013163832369959182,
3.5289707979888594e-7,
-1.510291118014996,
1.510290485989974,
1.0482933015393622e-7,
0.205718760898137... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 500 |
ffe7b5f4782407d3e85a3f55af5889c1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 6, "s... | {"states": [163, 183], "expectation_value": -12.503222531844179, "params": null, "bitstrings": ["101011100", "101001000"], "total_optimization_steps": 90, "probabilities": [0.24653508301111543, 0.7532227043090644], "optimization_time": 163.20120763778687} | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(6)) + -1.75 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + 2.0 * (Z(8) @ Z(0)) + -1.75 * (Z(8) @ Z(3)) + -0.75 * (Z(7) @ Z(4)) + -1.25 * Z(2) + -0.25 * Z(0) + -1.25 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["101001000"], "largest_eigenvalue": 16.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8342401797212022) q[0];
h q[1];
ry(1.5496241098090255) q[1];
h q[2];
ry(-0.8134812327530893) q[2];
h q[3];
ry(0.7748120549045128) q[3];
cx q[1], q[3];
ry(-0.7748120549045128) q[3];
cx q[1], q[3];
h q[4];
ry(0.6952604176041987) q[4];
h q[5];
ry(-0.739663059... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZIZ",
"IIZIIIIIZ",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIIIZIZI",
"IIZIZIIII",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZIZIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IZIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-0.5,
-1.25,
-0.75,
-1.75,
-1.75,
-1.25,
-1.25,
-0.5,
-0.25,
2,
-1.75,
-0.75,
-1.25,
-0.25,
-1.25,
2,
0.75,
-0.75,
-0.25,
0.25,
0.75
] | 0.979313 | [
1.5496241098090255,
-1.6684803594424045,
-1.6269624655061785,
1.3905208352083973,
1.550453941853096,
-1.4793261191708578,
1.0533544851530927,
-0.034849540509988605,
0.10902409872729314,
0.046541968081840954,
-0.09148475048676868,
0.09483930685092878,
-0.022908238681126583,
0.04709644411773... | {
"n_parameters": 21,
"n_qubits": 9,
"optimal_eigenvalue": -12.75,
"target_ratio": 0.97,
"target_value": -12.3675
} | 1 |
7873856371474736547 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [0, 2, 3, 5, 6, 7, 8, 9, 11, 12], [0, 6, 8, 10, 11], [1, 2, 3, 4, 6, 7, 8, 9, 10, 12], [0, 4, 6, 7, 8, 9, 11], [0, 1, 2, 3, 4, 5, 7, 8, 9, 12], [3, 6, 8, 10, 11, 12], [3, 4, 6, 10, 11], [1, 2, 5, 7, 9, 10, 11, 12], ... | {"states": [5045, 5053], "expectation_value": -2.285877758176496, "params": [1.5763, 1.5696, 0.326, 0.3239, 0.33290000000000003, 0.3305, 1.6461000000000001, 1.4965000000000002, 1.5874000000000001, 1.5658, 1.5696, 1.5839, 0.36000000000000004, 0.36760000000000004, 1.5795000000000001, 1.5745, 1.57, 1.5706, 0.8062, 0.7894,... | 0.05909090909090909 * (Z(0) @ Z(1)) + 0.08805916305916306 * (Z(2) @ Z(1)) + 0.09401154401154402 * (Z(2) @ Z(0)) + 0.056313131313131315 * (Z(3) @ Z(1)) + 0.08012265512265512 * (Z(3) @ Z(0)) + 0.10234487734487735 * (Z(3) @ Z(2)) + 0.05909090909090909 * (Z(4) @ Z(1)) + 0.0955988455988456 * (Z(4) @ Z(0)) + 0.09401154401154... | 13 | 13 | 1 | {"smallest_eigenvalues": [-2.4608585858585856], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4386363636363635, "smallest_bitstrings": ["0110001000010"], "largest_eigenvalue": 14.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.788002059269554) q[0];
rz(-0.0074752745093879915) q[0];
ry(0.30126469322890914) q[1];
ry(0.10190260752053826) q[2];
ry(1.9501092154510755) q[3];
ry(1.7101507433399132) q[4];
ry(1.2256918189581076) q[5];
ry(0.1124687232677353) q[6];
ry(1.5197395324597338) q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIZI",
"IIIIIIIIIZIIZ",
"IIIIIIIIIZZII",
"IIIIIIIIZIIZI",
"IIIIIIIIZIIIZ",
"IIIIIIIIZIZII",
"IIIIIIIIZZIII",
"IIIIIIIZIIIZI",
"IIIIIIIZIIIIZ",
"IIIIIIIZIIZII",
"IIIIIIIZIZIII",
"IIIIIIIZZIIII",
"IIIIIIZIIIIZI",
"IIIIIIZIIII... | [
0.05909090909090909,
0.08805916305916306,
0.09401154401154402,
0.056313131313131315,
0.08012265512265512,
0.10234487734487735,
0.05909090909090909,
0.0955988455988456,
0.09401154401154402,
0.1301226551226551,
0.04917027417027417,
0.04242424242424243,
0.0713924963924964,
0.05353535353535354... | 0.97095 | [
1.788002059269554,
0.30126469322890914,
0.10190260752053826,
1.9501092154510755,
1.7101507433399132,
1.2256918189581076,
0.1124687232677353,
1.5197395324597338,
1.623193966233672,
1.4526937587300741,
1.664083839457266,
0.20189749553547715,
1.387729848833858,
-0.014950549018775983,
-0.869... | {
"n_parameters": 50,
"n_qubits": 13,
"optimal_eigenvalue": -2.4608585858585856,
"target_ratio": 0.97,
"target_value": -2.387032828282828
} | 9 |
3591265042354790787 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 5, 6], [0, 1, 6], [1, 2, 4, 5], [0, 2, 4, 6], [0, 3, 5], [1, 3, 5], [0, 3, 4, 6], [0, 4, 5], [1, 3, 6], [2, 3, 4, 5]]} | {"states": [15, 124], "expectation_value": -1.1278084676152202, "params": [[0.25170000000000003], [-0.24480000000000002]], "bitstrings": ["1110000", "0000011"], "total_optimization_steps": 30, "probabilities": [0.016239855754882675, 0.016935943942424293], "optimization_time": 2.7825777530670166} | 0.3333333333333333 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.25 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(6)) + 0.25 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(6)) + 0.1666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.499999999999999, "smallest_bitstrings": ["0000011"], "largest_eigenvalue": 10.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(-1.4519510196523995e-08) q[2];
cx q[5], q[2];
h q[6];
cx q[5], q[6];
rz(-2.6633756418480062e-08) q[6];
cx q[5], q[6];
cx q[2], q[6];
cx q[5], q[0];
rz(-1.4519510196523995e-08) q[0];
cx q[5], q[0];
cx q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IZIIZII",
"ZZIIIII",
"ZIIIZII",
"IZIIIIZ",
"IIIIZIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIIZZI",
"ZIIIIZI",
"IIIIIZZ",
"IZZIIII",
"IIZIZII",
"ZIZIIII",
"IIZIIIZ",
"IIZIIZI",
"IZIZIII",
"IIIZZII",
"ZIIZIII",
"IIIZIIZ",
"IIIZIZI",
"IIZZIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"III... | [
0.3333333333333333,
0.16666666666666666,
0.25,
0.3333333333333333,
0.08333333333333333,
0.3333333333333333,
0.25,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.25,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.41666666666666663,
... | 0.78125 | [
-1.4519510196523995e-8,
-2.6633756418480062e-8,
1.6964540314037464e-8,
-5.7836085085718715e-8,
5.138054892425681e-8,
-1.5707963335874886,
1.57079636351904,
1.5707964027103718,
-1.5707961442950742,
1.570796258748118,
-1.5707962803727278
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -2.666666666666667,
"target_ratio": 0.97,
"target_value": -2.586666666666667
} | 291 |
b2edf981a9c05ff141b468ab5531d2c7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [43, 35], "expectation_value": -2.2481107834764438, "params": [[[0.8387, -0.0005], [-0.0098, 0.447], [0.7452000000000001, -0.0504], [-0.010700000000000001, 0.4469], [0.9119, -0.001], [0.9057000000000001, 0.001]], [[0.8364, 0.0002], [-0.0131, 0.0098], [0.7422000000000001, 0.0048000000000000004], [-0.01, 0.008... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011100", "110100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5248550386083428) q[0];
ry(-0.10221270413882634) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(-0.09127413307150792) q[3];
h q[4];
ry(1.5248550386083428) q[4];
h q[5];
ry(-0.09127413307150792) q[5];
cx q[2], q[5];
ry(0.09127413307150792) q[5];
cx q[2], q[5];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"ZIIIZI",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-1
] | 0.971484 | [
-1.505134990804261,
-0.18254826614301584,
1.5248550386083428,
-0.03839767417260796,
1.417504350103393,
0.9854096523880066,
-0.5343385890345632,
-0.5625052963746807,
0.13394661936504978,
0.07310273629638185,
0.1078849727528113,
-0.5444759194660239,
-0.4696532586096871,
-0.1666927772157234,
... | {
"n_parameters": 30,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 35 |
89c7521d0f4383e77e73ec35feb14209 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [100, 109], "expectation_value": -13.559284827424028, "params": null, "bitstrings": ["10011011", "10010010"], "total_optimization_steps": 100, "probabilities": [0.06131949519475524, 0.07138055406590552], "optimization_time": 153.34278774261475} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 8.5 * Z(0) + 11.0 * Z(2) + 13.0 * Z(1) + 2.0 * Z(3) + 7.5 * Z(4) + 12.5 * Z(5)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 123.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(1.525456717572838e-08) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(1.525456717572838e-08) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(1.525456717572838e-08) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(1.525456717572838e-08) q[3];
cx q[... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 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(63.0918) 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... | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
8.5,
11,
13,
2,
7.5,
12.5,
7.5,
11.5
] | 0.866667 | [
1.525456717572838e-8,
-1.5707962774125008,
1.5707963024967688,
1.570796304761946,
-1.5707963129315194,
1.5707963204272015,
1.570796296373383,
-1.5707963391592898,
-1.5707963344480793
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -60,
"target_ratio": 0.97,
"target_value": -58.199999999999996
} | 248 |
8934637782739148275 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[4, 5], [1, 5], [0, 5], [1, 4], [2, 5], [2, 3], [3, 4], [0, 1], [1, 3]]} | {"states": [26, 37], "expectation_value": -0.06659295973101738, "params": [[0.0695], [-0.054200000000000005]], "bitstrings": ["100101", "011010"], "total_optimization_steps": 10, "probabilities": [0.016810436715412724, 0.016810436715412724], "optimization_time": 1.2692961692810059} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["111010", "101010", "100101", "011010", "010101", "000101"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(0.5595858094910207) q[4];
cx q[5], q[4];
cx q[5], q[1];
rz(0.5595858094910207) q[1];
cx q[5], q[1];
cx q[4], q[1];
rz(0.5595858094910207) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(0.5595858094910207) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[5], q[0];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"ZZIIII",
"ZIIIZI",
"IZIIZI",
"ZIIIIZ",
"IIIIZZ",
"ZIIZII",
"IZZIII",
"IIZIZI",
"IIZZII",
"ZIIIII",
"IZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.527334 | [
0.5595858094910207,
-3.3443464174974123e-9,
-0.6688539577940033
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 102 |
ddfed01a83099fc3ddb85a6b0fb96e42 | 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": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"sour... | {"states": [364, 492], "expectation_value": -4.705988523968918, "params": [[0.8989, 0.1451, 0.17120000000000002, 0.8974000000000001, 0.0056, 0.6761, 0.44870000000000004, -0.003, -0.0007], [0.9027000000000001, 0.9099, 0.9045000000000001, 0.8985000000000001, 0.0, 0.9042, 0.9071, -0.006900000000000001, 0.00720000000000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + -2.0 * Z(4) + -0.5 * Z(0) + -0.5 * Z(7) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(8) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6) | 10 | 9 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["000010011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.9710606862123011) q[0];
ry(-0.03152227371642735) q[1];
ry(0.3485862723657801) q[2];
ry(0.39801200317294166) q[3];
ry(0.010369428092820494) q[4];
ry(0.7699320075308125) q[5];
ry(0.5642603389030503) q[6];
ry(0.014752968075965392) q[7];
ry(0.32450041401012086) q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IZIIIIIIZ",
"IIIIZIIZI",
"IZIIIIIZI",
"IIIIZIZII",
"ZIIIIIZII",
"IIIIZZIII",
"IIIZZIIII",
"ZIZIIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0,
0,
0
] | 0.970988 | [
0.9710606862123011,
-0.03152227371642735,
0.3485862723657801,
0.39801200317294166,
0.010369428092820494,
0.7699320075308125,
0.5642603389030503,
0.014752968075965392,
0.32450041401012086,
0.892504296216992,
1.6825321394367545,
1.9540562747569616,
0.9293063546999725,
0.11584660847832663,
... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 26 |
e187371d430b945e0e1d69926f02e89f | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 4, "source": 2, "target": 5}, {"capacity": 4, "source": 4, "target": 1}, {"capaci... | {"states": [7423, 6655], "expectation_value": -53.1085326924877, "params": [[0.0261, 0.049600000000000005, 0.1418], [-0.5818, -0.3637, -0.1779]], "bitstrings": ["110001100000000", "110011000000000"], "total_optimization_steps": 90, "probabilities": [0.007975316549807814, 0.00797531654980782], "optimization_time": 42.09... | -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(7)) + -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(3)) + 2.0 * (Z(9) @ Z(8)) + -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5... | 1 | 15 | 3 | {"smallest_eigenvalues": [-59.83333333333255], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.833333333330536, "smallest_bitstrings": ["110011000000000"], "largest_eigenvalue": 153.16666666666657} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(-0.12846654868711385) q[0];
rz(0.14685153751655733) q[0];
rx(0.07075102675611293) q[1];
rz(0.8668088802488729) q[1];
cx q[1], q[0];
rz(0.46804895589914874) q[0];
cx q[1], q[0];
rx(-0.12846654868711388) q[0];
rz(-0.15832510316320736) q[0];
rz(0.05214212492330192) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIIZII",
"IIIIIIIIIIIZZII",
"IIIIIIIZIIIZIII",
"IIIIIIZIIIIIZII",
"IIIIIIZZIIIIIII",
"IIIIIIZIIIIZIII",
"IIIIIZIIIIIIZII",
"IIIIIZIZIIIIIII",
"IIIIIZIIIIIZIII",
"IIIIIZZIIIIIIII",
"IIIIIIIIIIZIIIZ",
"IIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIZ",
"IIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZ",
"... | [
-0.5,
1,
-1,
-1,
2,
-2,
-0.5,
1,
-1,
2,
-0.5,
1,
-1,
0.5,
-0.5,
1,
-1,
0.6666666666666667,
-2,
-1,
0.5,
1,
0.5,
1,
2,
1,
2,
0.5,
1,
0.5,
0.5,
1,
1,
2,
1,
1,
2,
1,
1.5,
3,
1.5,
1.5,
3,
1.5,
3,
-0.5,
7,
-1,
14,
7,
0.5,... | 0.971406 | [
-0.12846654868711382,
0.6149004934157067,
0.07075102675611293,
0.8668088802488729,
1.0620761926639546,
0.07475898552088385,
-1.166640594281076,
0.11603444742160975,
0.15658895274400933,
1.022334621228668,
0.815482292845408,
1.629876098291157,
-0.030601744312807353,
1.0103907102293828,
0.... | {
"n_parameters": 74,
"n_qubits": 15,
"optimal_eigenvalue": -59.83333333333215,
"target_ratio": 0.97,
"target_value": -58.03833333333218
} | 6 |
4d44127075c03392d0078723b3cb3352 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 7}, {"capacity": 1, "source": 1, "target": 8}, {"capac... | {"states": [0, 3], "expectation_value": -15.571750113980224, "params": [0.001, 0.2175, -0.0018000000000000002, 0.21880000000000002, -0.0034000000000000002, 0.2383, -0.0049, 0.2416, -0.0018000000000000002, 0.222, -0.0028, 0.2288, -0.0036000000000000003, 0.2313, 0.0022, 0.21080000000000002, -0.0064, 0.2029, 0.0016, 0.232... | -1.25 * (Z(0) @ Z(6)) + -0.5 * (Z(1) @ Z(6)) + -1.75 * (Z(7) @ Z(1)) + -1.25 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(3) @ Z(5)) + -1.25 * (Z(4)... | 6 | 10 | 3 | {"smallest_eigenvalues": [-18.25, -18.25, -18.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -17.25, "smallest_bitstrings": ["1111001100", "1111111100", "1111101100"], "largest_eigenvalue": 23.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.18238332162785192) q[0];
rz(1.6128537245662358) q[0];
rx(-0.022411424147757517) q[1];
rz(1.7429667035819332) q[1];
rx(-0.00935839283080743) q[2];
rz(1.7729278555175068) q[2];
rx(0.09436086235018315) q[3];
rz(1.6571607565149122) q[3];
rx(-0.4355534421318405) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZ",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IZIZIIIIII",
"IZIIIIIIZI",
"IZZIIIIIII",
"IIIIZIIIZI",
"IIZIZIIIII",
"IZIIZIIIII",
"IIIZIIIZII",
"IIIIZIIZII",
"IIZIIIZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIZIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIZIIIIIII"... | [
-1.25,
-0.5,
-1.75,
-1.25,
-0.5,
-0.75,
-1.25,
-0.75,
-1,
-0.5,
-0.75,
-1.25,
-1,
-1.25,
1.5,
-1,
-1.5,
-0.25,
-2,
0,
4,
4,
-1.25,
-2.25,
-1.25,
0.5
] | 0.972864 | [
-0.18238332162785195,
0.04205739777133943,
-0.02241142414775752,
0.17217037678703623,
-0.00935839283080743,
0.20213152872261023,
0.09436086235018315,
0.08636442972001604,
-0.43555344213184044,
-0.06390481792180394,
-0.2622211833798091,
0.7015207312376244,
0.16286715511547734,
0.20718293757... | {
"n_parameters": 163,
"n_qubits": 10,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 106 |
60adc8c0ec7ab7eb551a043d909b727d | 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": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 6}, {"weight": 1, "source": 2, "target... | {"states": [21930, 43605], "expectation_value": -0.017081767331701005, "params": [[0.06520000000000001], [-0.0663]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.6345019347788732e-05, 1.634501934778874e-05], "optimization_time": 13.724514484405518} | 0.25 * (Z(0) @ Z(1)) + 0.00015432098765432098 * (Z(2) @ Z(0)) + 0.00015432098765432098 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00015432098765432098 * (Z(4) @ Z(0)) + -0.0010802469135802468 * (Z(4) @ Z(2)) + 0.00015432098765432098 * (Z(5) @ Z(1)) + -0.0010802469135802468 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.021759259259184], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021759259259178, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0183641975308486} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(3.157629728712919) q[0];
rz(-0.05065862254335604) q[0];
rx(1.6416647304574323) q[1];
rz(0.05964170266436333) q[1];
rx(3.1651119635401623) q[2];
rz(0.05191482781149611) q[2];
rx(-3.1162030666750065) q[3];
rz(0.0469185574307937) q[3];
rx(3.157629728712919) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.00015432098765432098,
0.00015432098765432098,
0.25,
0.00015432098765432098,
-0.0010802469135802468,
0.00015432098765432098,
-0.0010802469135802468,
0.25,
-0.0012345679012345679,
0.00030864197530864197,
-0.0010802469135802468,
-0.0012345679012345679,
0.00030864197530864197,
-0.001... | 0.998031 | [
3.157629728712919,
-0.05065862254335604,
1.6416647304574323,
0.05964170266436333,
3.1651119635401623,
0.05191482781149611,
-3.1162030666750065,
0.0469185574307937,
0.03975562226755169,
-3.137240287190392,
0.03163523954366356,
0.02673832735016573,
0.1325461038340803,
0.10498493591854174,
... | {
"n_parameters": 27,
"n_qubits": 16,
"optimal_eigenvalue": -2.021759259259196,
"target_ratio": 0.97,
"target_value": -1.9611064814814203
} | 1 |
cd9ed43dca2281b8ed4505f89be4ca33 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [92, 60], "expectation_value": -1.988373341101671, "params": [0.0035, 0.006500000000000001, 0.40190000000000003, 0.40190000000000003, 0.4056, 0.40240000000000004, 0.40590000000000004, 0.40800000000000003, 0.40190000000000003, 0.4035, 0.4091, 0.4098, 0.1625, 0.1568, -0.001, 0.0002, -0.0005, -0.0001, 0.3926, 0... | 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(1) @ Z(4)) + 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)... | 14 | 8 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10100011", "11000011"], "largest_eigenvalue": 6.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.027079035757488726) q[0];
rz(pi/2) q[0];
ry(1.1805527107761589) q[1];
ry(0.7567395625670771) q[2];
ry(0.3541237855918767) q[3];
ry(1.1805527107761589) q[4];
ry(0.6971051288564791) q[5];
ry(0.34001410039206165) q[6];
ry(-0.2767563674384478) q[7];
cx q[7], 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[... | 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,
0.5,
0.25,
0.25,
0.25,
-0.25,
... | 0.971836 | [
0.027079035757488726,
1.1805527107761589,
0.7567395625670771,
0.3541237855918767,
0.6971051288564791,
0.34001410039206165,
-0.2767563674384478,
-0.47027993140912017,
-0.528855871322581,
-0.024195757145103747,
0.5170660872484818,
0.2910432841387032,
0.5183739271290928,
0.7124322484806026,
... | {
"n_parameters": 62,
"n_qubits": 8,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 50 |
949642de8ee5e7ad5475d2650121814b | 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": 10, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 6}, {"weight"... | {"states": [467, 466], "expectation_value": -77.1847913990044, "params": [0.188, 0.312, 0.7782, 0.0142, 0.6305000000000001, -0.0047, 0.7903, -0.0017000000000000001, 0.1456, 0.1163, 0.7884, -0.0175, 0.0095, -0.38120000000000004, 0.0757, 0.0103, 0.7439, -0.08600000000000001, 0.36260000000000003, -0.21780000000000002, 0.1... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) @ Z(8)) + 15.5 * Z(1) + 10.5 * Z(0) + 12.5 * Z(2) + 6.5 * Z(3) + 5.5 * Z(5) + -4.0 * Z(4... | 4 | 10 | 4 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["1000101101"], "largest_eigenvalue": 124.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.21307147512409821) q[0];
rz(1.680505647780202) q[0];
rx(0.8593568907544071) q[1];
rz(1.4632477992031836) q[1];
rx(0.7444464412701418) q[2];
rz(1.342531064814935) q[2];
rx(0.9345811458871834) q[3];
rz(1.5964539473975439) q[3];
rx(0.060503196412075015) q[4];
rz(1.61... | 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",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIZIIIIZII",
"IZZIIIIIII",
"ZIIIIIZIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
15.5,
10.5,
12.5,
6.5,
5.5,
-4,
1,
2.5,
8.5,
5
] | 0.97263 | [
0.2130714751240982,
0.10970932098530564,
0.8593568907544071,
-0.10754852759171282,
0.7444464412701418,
-0.22826526197996114,
0.9345811458871833,
0.025657620602647147,
0.06050319641207501,
0.041097069572982564,
0.7568052508063727,
0.07110357773564926,
0.09091026222005893,
-0.327115887800926... | {
"n_parameters": 116,
"n_qubits": 10,
"optimal_eigenvalue": -83,
"target_ratio": 0.97,
"target_value": -80.50999999999999
} | 10 |
-4278732443802325559 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 7], [2, 4, 5], [2, 7], [0, 1, 4, 5], [0, 4, 5, 6], [3, 4, 5, 6], [1, 2, 3], [1, 3, 6], [6, 7], [1, 4, 5, 6], [3, 5, 7], [0, 1, 3, 4], [2, 6]]} | {"states": [77, 182], "expectation_value": -0.1820036589697832, "params": [[0.07830000000000001], [-0.0758]], "bitstrings": ["10110010", "01001001"], "total_optimization_steps": 10, "probabilities": [0.004314013610420095, 0.004351637774769147], "optimization_time": 2.9824836254119873} | 0.5833333333333334 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.25 * (Z(5... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["01001001"], "largest_eigenvalue": 11.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.037411865797709) q[0];
rz(0.36113592072206346) q[0];
rx(1.8945271841653542) q[1];
rz(1.1685172844558247) q[1];
rx(1.79006273389229) q[2];
rz(0.34155797611960725) q[2];
rx(2.9956493834797557) q[3];
rz(0.3450315563964459) q[3];
rx(-0.054990918324811934) q[4];
rz(-1.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIZI",
"IIIIZZII",
"IIIIIZZI",
"ZIIIIZII",
"IIIZZIII",
"IIIZIIZI",
"IIIZIZII",
"IIZIZIII",
"IIZIIIZI",
"ZIZIIIII",
"IIZIIZII",
"IIZZIIII",
"IIIIZIIZ",
"IIIIIIZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IZIIZIII",
"IZIIIIZI",
"ZZIIIIII",
"IZIIIZII",
"IZIZIII... | [
0.5833333333333334,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.25,
0.16666666666666666,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.49999999999999994,
0.08333333333333333,
0.16666666666666666... | 0.971892 | [
2.037411865797709,
0.43954196749963076,
1.894527184165354,
0.9202017899985655,
1.7900627338922899,
0.37152344171123863,
2.9956493834797557,
0.32867837861569,
-0.054990918324811934,
-1.043484577420028,
2.8342137559929905,
0.25446259107412506,
2.465802854245298,
0.30845573338125504,
0.0456... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -2.833333333333334,
"target_ratio": 0.97,
"target_value": -2.748333333333334
} | 2 |
9b6c90aee56ab84919f7c826e678a024 | edge_cover | adaptive_vqe | {"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": [35, 37], "expectation_value": -2.3403891236552696, "params": null, "bitstrings": ["011100", "011010"], "total_optimization_steps": 31, "probabilities": [0.09171740636696295, 0.7966511080330144], "optimization_time": 42.41794037818909} | 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(... | 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(-1.5158) 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... | [
"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 |
-6132195591121548321 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 6], [0, 1, 3, 4], [1, 4, 5], [1, 2, 3]]} | {"states": [31, 94], "expectation_value": -0.6539858926883564, "params": [[0.4711], [-0.44010000000000005]], "bitstrings": ["1100000", "0100001"], "total_optimization_steps": 50, "probabilities": [0.022088255614927662, 0.0228313069738395], "optimization_time": 1.982823133468628} | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(x0) q[... | 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 |
48bc2fe3cb79b98fee18d505d1ebe59b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [49, 48], "expectation_value": -4.17812415027036, "params": [0.6968000000000001, 0.0014, 0.7053, 0.0056, 0.7037, 0.0108, 0.22360000000000002, -0.2218, 0.10250000000000001, -0.2647, 0.10940000000000001, -0.2967, 0.6989000000000001, 0.046900000000000004, 0.6933, 0.0009000000000000001, 0.6990000000000001, -0.00... | 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(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 *... | 4 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011110", "0101111", "1110110", "0111101", "1100111", "0111110", "1011011", "1001111"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.12079281128675705) q[0];
rz(0.5674813099381055) q[0];
rx(3.387397693875746) q[1];
rz(0.5870240098225082) q[1];
rx(2.8522529650362514) q[2];
rz(0.21132100675353965) q[2];
rx(0.04928141958692428) q[3];
rz(-1.4732088475229657) q[3];
rx(-0.13805548395794637) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIZI",
"IZIZIII",
"IZZIIII",
"IIZIZII",
"IZIIZII",
"ZIZIIII",
"ZZIIIII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-2,
-2,
-1,
-1
] | 0.978839 | [
0.12079281128675705,
0.5674813099381055,
3.387397693875746,
0.5870240098225082,
2.8522529650362514,
0.21132100675353965,
0.04928141958692428,
-1.4732088475229657,
-0.13805548395794637,
-0.5254705969434057,
0.05901400317539679,
-0.4027360692677126,
0.4972066229465188,
0.5280601181764276
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 16 |
16aed950661228e73cbfe28c55f52a27 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 6}, {"weight": 17, "source": 0, "tar... | {"states": [286, 248], "expectation_value": -25.62539772056664, "params": null, "bitstrings": ["011100001", "100000111"], "total_optimization_steps": 100, "probabilities": [0.06467488444422437, 0.17150031785397873], "optimization_time": 182.53791117668152} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["100000111"], "largest_eigenvalue": 180.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.052917474503626036) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.052917474503626036) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.052917474503626036) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.052917474503626036) q[3];
cx q[1], ... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(18.1327) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"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,
4.5,
17.5,
14,
21,
20.5,
14.5,
18.5,
-2.5,
2.5,
2
] | 0.974008 | [
0.052917474503626036,
-0.833862350659093,
0.7824849905832925,
-1.2282155200911047,
-0.6040929875217558,
-0.7065169793485129,
-0.9366383353961008,
0.8866394481108202,
0.5604813707399259,
1.0965652446889536,
0.8661048964931922,
-0.04698174810610116,
-0.7761643316060929,
0.6032730800075495,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -94,
"target_ratio": 0.97,
"target_value": -91.17999999999999
} | 62 |
-1434483494603569668 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 5, 6], [8, 6], [1, 5, 6, 7], [0, 1, 5, 6], [1, 2, 5, 7], [2, 4, 6], [0, 8, 4, 1], [0, 3, 6], [8, 0, 1, 7], [2, 3, 5], [8, 3], [0, 4, 5], [2, 3, 7]]} | {"states": [446, 190], "expectation_value": -2.835054811516028, "params": [1.1168, 0.15940000000000001, 0.9762000000000001, 0.009600000000000001, 1.1953, -0.0669, 1.1983000000000001, 0.0053, 0.7851, 0.08610000000000001, 0.6846, 0.0014, 1.2035, -0.0585, 1.1942000000000002, 0.0086, 1.1933, -0.0731, 1.1996, 0.004, 1.19020... | 0.41666666666666663 * (Z(2) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.25 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.25 * (Z(7... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.8333333333333326], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4166666666666683, "smallest_bitstrings": ["101000001"], "largest_eigenvalue": 12.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.7321633607685482) q[0];
rz(1.6767781825078183) q[0];
rx(1.6786204550601278) q[1];
rz(1.5723830799530232) q[1];
rx(0.6459303787868571) q[2];
rz(1.5769690693432334) q[2];
rx(1.6916784437315444) q[3];
rz(1.5665852413718095) q[3];
rx(1.3098269949646784) q[4];
rz(1.5890... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIZIIZII",
"IIZZIIIII",
"IIZIIIZII",
"ZIZIIIIII",
"IIIZIIIZI",
"IIIIIIZZI",
"IIZIIIIZI",
"ZIIIIIIZI",
"IZIZIIIII",
"IZIIIIZII",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIIIIZI",
"IIIZIIIIZ",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIIIIIZZ",
"IZIIIIIIZ",
"IIIZZIIII",
"IIIIZIZII",
"IIZIZIIII",
"... | [
0.41666666666666663,
0.3333333333333333,
0.3333333333333333,
0.5,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.08333333333333333,
0.25,
0.25,
0.25,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666... | 0.970665 | [
0.7321633607685483,
0.10598185571292151,
1.6786204550601276,
0.0015867531581264544,
0.6459303787868571,
0.00617274254833638,
1.6916784437315444,
-0.004211085423086595,
1.3098269949646784,
0.018272752298213665,
1.351835344805308,
-0.2104286069561327,
1.5031220877761657,
-0.05730284525486845... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -3.8333333333333326,
"target_ratio": 0.97,
"target_value": -3.7183333333333324
} | 68 |
a09fd8263c85c42edd74a3289977a8b3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, ... | {"states": [72, 74], "expectation_value": -2.9500049596108946, "params": [1.4971, -0.0106, 0.6624, -0.2697, -0.0046, -0.4253, 1.4938, 0.0028, -0.0025, 1.1147, 0.7977000000000001, -0.0095, 0.0922, -0.5341, 1.4903000000000002, -0.055200000000000006, 0.21910000000000002, 0.3196, -0.0006000000000000001, -0.9213, 1.4915, -0... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + -0.125 * (Z(0) @ Z(4) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(4) @ Z(2)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(4) @ Z(2... | 4 | 7 | 2 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["0110101"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.4446042738877054) q[0];
h q[1];
ry(-1.512918051750911) q[1];
h q[2];
ry(1.4083247625887707) q[2];
h q[3];
ry(-0.5293131049864891) q[3];
ry(-0.06356997376493063) q[4];
rz(-pi) q[4];
cx q[0], q[4];
ry(0.06807093250432301) q[4];
cx q[0], q[4];
ry(0.04569507312... | OPENQASM 3.0;
include "stdgates.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",
"IIIZIIZ",
"IIZIIIZ",
"IIIIZIZ",
"IIZZIII",
"IIIZZII",
"IIZIZII",
"IIZZIIZ",
"IIIZZIZ",
"IIZIZIZ",
"IIZZZII",
"IIZZZIZ",
"ZZIIIII",
"IZIIIZI",
"ZIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
-0.125,
-0.5,
-0.125,
-0.625,
-0.625,
-0.5,
-0.5
] | 0.997461 | [
-1.512918051750911,
-1.439155420525643,
1.4083247625887707,
1.4446042738877054,
-1.0586262099729782,
0.8527889513936574,
-0.5206824694219505,
0.47082154490311495,
-0.373057902669777,
0.1724643384691928,
-0.05455145390818787,
-0.13614186500864603,
0.09139014624875148,
0.11011063072071392,
... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
98ff52dd3a46eb29e6baf499c47cc739 | edge_cover | adaptive_vqe | {"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": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [7, 35], "expectation_value": -2.1181416555577193, "params": null, "bitstrings": ["111000", "011100"], "total_optimization_steps": 24, "probabilities": [0.05107453549901371, 0.9399494395431499], "optimization_time": 23.734780311584473} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.125, "smallest_bitstrings": ["010110", "011010", "011001", "101001", "111000", "011100"], "largest_eigenvalue": 4.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx q[2... | 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(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZZII",
"IZIZII",
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"IZZIII",
"ZIZIII",
"ZZIIII",
"IZZIIZ",
"ZIZIIZ",
"ZZIIIZ",
"ZZZIII",
"ZZZIIZ",
"ZIIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.125,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125
] | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
2133bfe2f16c389d56b638843cb4baa9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [112, 88], "expectation_value": -5.49646409782871, "params": null, "bitstrings": ["0001111", "0100111"], "total_optimization_steps": 29, "probabilities": [0.06634871027471186, 0.9303659638128933], "optimization_time": 26.186266660690308} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -1.5 * Z(4) + -1.0 * Z(0) + -1.5 * Z(5) + -2.0 * Z(6) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001111", "0100111"], "largest_eigenvalue": 14.5} | 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... | 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", ... | [
"IIZIIIZ",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"IIZZIII",
"IIIZIZI",
"IZIIZII",
"ZIIIZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"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,
-1.5,
-1,
-1.5,
-2,
-1.5,
-0.5,
-0.5
] | 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 |
404057c7f12171487b8e4c0dec61ffa3 | 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": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -0.7651799949305048, "params": [[-0.0753, -0.0743, -0.06620000000000001], [0.0743, 0.0723, 0.065]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.028525679703952988, 0.0294572545114775], "optimization_time": 2.443500518798828} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + -0.5 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.25 * Z(1) + 1.0 * Z(4) + -0.25 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000"], "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];
h q[4];
h q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.5811547544466071) q[0];
h q[0];
rx(1.570796540280365) q[1];
h q[1];
rx(0.8261509600795981) q[2];
h q[2];
rx(1.6265178949297225) q[3];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"ZIIIIZ",
"IIIZZI",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIZIII"
] | [
-0.25,
0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-1.25,
-0.5,
-0.25,
-0.25,
0.25,
1,
-0.25
] | 0.4375 | [
1.5811547544466071,
1.570796540280365,
0.8261509600795981,
1.6265178949297225,
1.5707964599706954,
-0.8173580564858312,
-0.6918847223325216,
1.570796435113792,
-4.734253203222546e-9,
-1.5027359744877397e-8,
1.570796448929092,
2.485463203679337
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 265 |
bd4d5e09460e489b3a7687d2fb06fc0c | 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": 5}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}]} | {"states": [26, 101], "expectation_value": -0.0935687315929201, "params": [[0.0775], [-0.07250000000000001]], "bitstrings": ["1100101", "0011010"], "total_optimization_steps": 10, "probabilities": [0.008791514506850477, 0.008979499442554013], "optimization_time": 1.1994428634643555} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(5) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(1) + -0.5 * Z(3) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.101713997269887) q[0];
rz(-pi) q[0];
h q[1];
ry(1.3824691322518885) q[1];
ry(-0.07133908291424587) q[2];
rz(-pi) q[2];
ry(-0.07133908291424587) q[3];
rz(-pi) q[3];
h q[4];
ry(1.3727000906326838) q[4];
cx q[4], q[3];
ry(0.07548237674769742) q[3];
cx q[4], q[3];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q... | null | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"IIIIZIZ",
"IZIIIZI",
"IIIZIZI",
"ZIIIZII",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0,
0
] | 0.996181 | [
-1.4239748671329533,
1.3727000906326838,
1.3824691322518885,
-0.15096475349539484,
0.2968970764462026,
0.07546821301355022,
0.12089166435976527,
0.055497320060175215,
-0.023875771095612494,
0.007170258760450595,
0.037450392513724055
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
0ae9b6f2b61290137ab22e2dafb0c164 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [0, 20], "expectation_value": -2.9998646495793175, "params": null, "bitstrings": ["11111", "01011"], "total_optimization_steps": 16, "probabilities": [1.9002204009620417e-05, 0.9999182900344906], "optimization_time": 7.091947078704834} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11100", "01011", "10101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IZZII",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1,
-1
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
5a8eac0760a558d4174437be478ec0aa | graph_coloring | vqe | {"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": 2, "target": 4}, {"source": 1, "target": 4}]} | {"states": [27359, 27358], "expectation_value": -6.605903988677587, "params": [0.40180000000000005, 0.40340000000000004, 0.41150000000000003, 0.4076, 0.1139, 0.11960000000000001, 0.2695, 0.25730000000000003, 0.161, 0.1583, 0.40040000000000003, 0.40440000000000004, 0.12760000000000002, 0.1253, 0.3896, 0.391, 0.409900000... | 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.... | 13 | 15 | 4 | {"smallest_eigenvalues": [-7.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.999999999999952, "smallest_bitstrings": ["001010100100001"], "largest_eigenvalue": 24.000000000000043} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.82536574049687) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.24273634073259914) q[1];
h q[2];
h q[3];
ry(-0.24273634073259914) q[3];
cx q[2], q[3];
ry(0.24273634073259914) q[3];
cx q[2], q[3];
ry(1.300380278656536) q[2];
ry(-0.845563361950822) q[3];
h q[4];
cx q[4], q[1];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"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,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75,
1,
1,
1
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
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0.6740485844110712,
1.8584456786071313,
-0.3550392547384828,
-0.049666130392177224,
0.1283809090165161,
0.14940958954842865,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
16efd0d1722058bdcecd0a47f621047a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [24, 35], "expectation_value": -0.20800280182429942, "params": [[0.0733], [-0.08170000000000001]], "bitstrings": ["100111", "011100"], "total_optimization_steps": 10, "probabilities": [0.017534229913187, 0.018289819823076085], "optimization_time": 1.1395344734191895} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["011100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2320663891682014) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2320663891682014) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.2320663891682014) q[3];
cx q[0], q[3];
rz(-0.8149595538532273) q[0];
rx(-1.000242445136427) q[0];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-1,
0,
-1
] | 0.769935 | [
0.2320663891682014,
-0.8149595538532274,
0.0868387816876093,
-1.000242445136427,
1.281262008060064,
-1.253765500090689,
-0.48859011360813015,
0.47033374606546463,
-2.483859814368198,
-0.4210188815319589
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 289 |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 2, "target": 1}]} | {"states": [3, 1], "expectation_value": -1.04440091814801, "params": [[-0.0734, -0.0637, -0.067], [0.079, 0.0733, 0.0729]], "bitstrings": ["1100", "1110"], "total_optimization_steps": 10, "probabilities": [0.1071264795364051, 0.11483511731428511], "optimization_time": 1.5994012355804443} | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -1.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 1.0 * Z(2) | 1 | 4 | 3 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13943302053146128) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.2546523334796689) q[2];
cx q[1], q[2];
rz(-0.7155720410694917) q[1];
rx(-1.7587368543198154) q[1];
rz(0.6317748164920753) q[2];
rx(-1.7587368543198154) q[2];
h q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZIIZ",
"IZZI",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
-0.75,
1,
-1,
-1.75,
-0.25,
1,
1
] | 0.974967 | [
-0.13943302053146128,
0.6317748164920755,
-0.2546523334796689,
-0.7155720410694918,
-0.8847263429635749,
-1.7587368543198154,
-0.39840533455052923,
0.9596950419953695,
-0.3894973625686309,
-1.5007620154927859,
-0.8383337619275093,
-0.8965996704617766
] | {
"n_parameters": 12,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 48 |
b9249c89c9fecbd960c9b5e99266b9fa | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [54, 214], "expectation_value": -1.0440183404039447, "params": [[[0.1504, -0.2735, 0.0027, 0.0083], [0.5927, 0.2726, 0.5631, 0.1018], [0.17750000000000002, -0.40940000000000004, 0.1651, -0.1642], [-0.0898, 0.3577, 0.6025, -0.0862], [0.3844, -0.4318, 0.3049, 0.433], [0.035500000000000004, 0.5568000000000001, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(0) @ Z(7)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(5) @ Z(7)) + -0.25 *... | 11 | 9 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.0, "smallest_bitstrings": ["100101100", "010101010", "010111000", "010110010", "011110000", "101100100", "110101000", "101010001", "101001001", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.08071652466666357) q[0];
rz(-0.32294883356963694) q[0];
ry(-0.09888845264555152) q[1];
rz(0.5517569934657596) q[1];
cx q[1], q[0];
ry(-0.28768937507189146) q[0];
rz(0.4898392647229848) q[0];
ry(0.3600763272392296) q[1];
rz(0.1897238360713766) q[1];
ry(-0.0830100838... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZZZIIII",
"IIIIZIIIZ",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIIZIIIZ",
"IIIZIIZII",
"IZIIIIZII",
"IZIZIIIII",
"IZIZIIZII",
"ZIIIIZIII",
"IIZIIIIZI",
"ZIIIIIIZI",
"ZIZIIIIII",
"ZIZIIIIZI",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
0,
0,
0,
0,
-0.25
] | 0.975576 | [
0.08071652466666357,
-0.32294883356963694,
-0.09888845264555152,
0.5517569934657596,
-0.08301008383544614,
-0.141481058724331,
-0.034853233212542106,
1.000105299502224,
-0.12063493658246893,
-1.1703750484006812,
-0.038915728037118805,
-0.03603490569316267,
1.0390475730386841,
0.43869168804... | {
"n_parameters": 63,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 84 |
406f205c8f68e15d44cfdbce281f4c7d | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [37, 7], "expectation_value": -6.868769623322617, "params": null, "bitstrings": ["011010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10740038652747583, 0.6097205169304722], "optimization_time": 60.978110790252686} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * ... | 18 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.00817263797266711) q[0];
rz(0.5966647633891988) q[0];
rx(-0.00817263797266711) q[1];
rz(0.13566274477300744) q[1];
rx(3.0563566369992974) q[2];
rz(1.526362272167271) q[2];
rx(2.7143491625185714) q[3];
rz(0.6625473815348293) q[3];
rx(-0.235591289998422) q[4];
rz(0.... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
2,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-0.25
] | 0.974338 | [
-0.00817263797266711,
0.5966647633891988,
0.13566274477300744,
3.0563566369992974,
1.526362272167271,
2.7143491625185714,
0.6625473815348293,
-0.235591289998422,
0.5263775625222091,
3.0339991639572848,
0.17723105258234045
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
6e37aef8e2f10c2778e28c9dc9b1affa | 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": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [5663, 5695], "expectation_value": -1.988041186646253, "params": [0.7037, 0.7007, 0.06420000000000001, 0.0419, 0.6681, 0.6686000000000001, 0.45070000000000005, 0.46830000000000005, 0.2383, 0.2422, 0.227, 0.2253, 0.2675, 0.2837, 0.37570000000000003, 0.4404, 0.6832, 0.6872, 0.6909000000000001, 0.6912, 0.6856, ... | 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... | 14 | 13 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.812... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.2775732297863516) q[0];
rz(-0.3305087434857717) q[0];
ry(0.6345449181272201) q[1];
rz(0.15931776173284024) q[1];
cx q[1], q[0];
ry(0.17013468057679076) q[0];
rz(0.23989733092694884) q[0];
ry(-0.09336591035330995) q[1];
rz(-0.3558798878985864) q[1];
ry(0.6843886038... | 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZZII",
"IIIIIIIIZIZII",
"IIIIIIIZIIZII",
"IIIIIIIIZZIII",
"IIIIIIIZIZIII",
"IIIIIIIZZIIII",
"IIIIIIIIZZZII",
"IIIIIIIZIZZII",
"IIIIIIIZZIZII",
"IIIIIIIZZZIII",
"IIIIIIIZZZZII",
"IIIIIIIIIIZIZ",
"IIIIIIZIIIIIZ",
"IIIIIZIIIIIIZ",
"IIIIZIIIIIIIZ",
"IIIIIIZIIIZ... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
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... | 0.970122 | [
0.2775732297863516,
-0.3305087434857717,
0.6345449181272201,
0.15931776173284024,
0.6843886038977415,
0.19151158251558112,
0.03791266297523649,
-0.4190659203460903,
-0.17971102873783695,
-0.5348340876475711,
-0.07570081925425122,
-0.5629568151206856,
1.1222819806574604,
0.4239342889584007,... | {
"n_parameters": 144,
"n_qubits": 13,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 91 |
7060679126639636126 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 12, 4], [8, 10, 11], [9, 6], [0, 1, 5], [8, 10, 12], [3, 11, 6], [10, 2], [9, 10, 3], [1, 6], [5, 6], [8, 5], [0, 2], [11, 1, 3], [0, 6], [6, 7], [9, 10, 7], [1, 2, 7], [0, 7], [1, 2, 11], [1, 10, 5], [1, 10, 7], [5, 7], [8, 0, 12], [10, 12, 5], [... | {"states": [6286, 6287], "expectation_value": -0.1300311864904226, "params": [[0.047], [-0.0376]], "bitstrings": ["0011101110001", "0011101110000"], "total_optimization_steps": 10, "probabilities": [0.0001332874991137863, 0.00013366248124161966], "optimization_time": 99.12363576889038} | 0.16666666666666666 * (Z(9) @ Z(12)) + 0.16666666666666666 * (Z(4) @ Z(12)) + 0.3333333333333333 * (Z(4) @ Z(9)) + 0.5 * (Z(8) @ Z(12)) + 0.3333333333333333 * (Z(10) @ Z(12)) + 0.3333333333333333 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(4)) + 0.3333333333333333 * (Z(10) @ Z(8)) + 0.16666666666666666 * (Z(11) @ Z(8)) + 0.166... | 3 | 13 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.333333333333336, "smallest_bitstrings": ["0011101110000"], "largest_eigenvalue": 24.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] 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];
cx q[12], q[9];
rz(0.0007789700255266038) q[9];
cx q[12], q[9];
cx q[12], q[4];
rz(0.0007789700255266038) q[4];
cx q[12], q[4];
cx q[12], q[8];
rz(0.4764105821109... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[13] c;
qubit[13] 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];
... | null | {"circuits": [], "gradients": []} | [
"ZIIZIIIIIIIII",
"ZIIIIIIIZIIII",
"IIIZIIIIZIIII",
"ZIIIZIIIIIIII",
"ZIZIIIIIIIIII",
"IIZZIIIIIIIII",
"IIZIIIIIZIIII",
"IIZIZIIIIIIII",
"IZIIZIIIIIIII",
"IZZIIIIIIIIII",
"IIIZIIZIIIIII",
"IZIIIIZIIIIII",
"ZIIIIIIIIIIIZ",
"IIIIZIIIIIIIZ",
"IIIIIIZIIIIIZ",
"ZIIIIIIIIIIZI",
"IIIIZIIIIII... | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666... | 0.475206 | [
0.0007789700255266038,
0.14589485590047266,
0.47641058211091425,
0.4512654682630383,
0.5614801786229177,
1.00319225279922,
1.1173548538522644,
-0.7538039456808024
] | {
"n_parameters": 8,
"n_qubits": 13,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 199 |
948e73d26580d7c0cc9a877617a692aa | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 7, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 7}, {"capac... | {"states": [35, 43], "expectation_value": -19.361519517878545, "params": [0.7596, 0.41550000000000004, -0.1212, -0.5198, 0.0031000000000000003, 0.5235000000000001, 0.0041, 0.7772, -0.0039000000000000003, 1.2865, -0.0025, 1.2231, 0.0019, 1.7612, 0.0034000000000000002, 1.0599, 1.0217, 1.2175, -0.3436, 0.0134, -0.0, 0.840... | -1.75 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(1)) + -1.5 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(7)) + 2.0 * (Z(9) @ Z... | 6 | 10 | 3 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["1111010100"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.9428513441793349) q[0];
rz(2.41740016721155) q[0];
rx(-0.06541283581336957) q[1];
rz(2.8450035049979903) q[1];
rx(-0.03181264950285942) q[2];
rz(2.4393102649571254) q[2];
rx(0.037622177953360134) q[3];
rz(1.603473107672479) q[3];
rx(-1.2515744433774152) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIZIIZII",
"IIIIZIIIZI",
"IIZIIIIZII",
"IIZIIIIIZI",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIIZIIZIII",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIZIIZIIII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZIIIIZIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"IZIIIIZIII",
"IZIIIZIIII"... | [
-1.75,
-1.25,
-0.5,
-1.25,
-1.5,
-0.75,
-1,
-1,
-1,
-0.25,
-0.5,
-1.75,
-1,
2,
-1.5,
-1.75,
-1,
-0.5,
-0.25,
-0.5,
-2,
-0.25,
-1,
-1.75,
-0.75,
0,
0.25,
4.5,
-1.25,
2.25
] | 0.97326 | [
-0.9428513441793349,
0.8466038404166532,
-0.06541283581336957,
1.2742071782030941,
-0.03181264950285942,
0.8685139381622284,
0.037622177953360134,
0.032676780877582315,
-1.2515744433774154,
0.9889978399549705,
-0.07762164859431343,
1.0604060642884887,
0.6982556224832279,
1.266757938460107,... | {
"n_parameters": 94,
"n_qubits": 10,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 79 |
401c13a1ccbde8a868c526c64a107baa | 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": 1, "source": 0, "target": 1}, {"weight": 4, "source": 2, "target": 3}, {"weight": 14, "source": 2, "target": 4}, {"weight": ... | {"states": [250, 186], "expectation_value": -80.37842730109618, "params": [-0.9651000000000001, 0.0347, 0.6957, 0.0046, 1.1569, 0.0158, -0.48160000000000003, 0.001, 1.1972, 0.057800000000000004, 1.1961000000000002, 0.004, 0.9267000000000001, -0.3315, 0.7565000000000001, 0.0064, 1.2045000000000001, 0.062400000000000004,... | 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(9) @ Z(8)) + 12.5 * Z(2) + -3.5 * Z(1) + 14.5 *... | 6 | 10 | 1 | {"smallest_eigenvalues": [-97.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["1101000101"], "largest_eigenvalue": 172.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.8814340122900091) q[0];
rz(1.52121017576194) q[0];
rx(1.4930635817413018) q[1];
rz(1.4998939189595468) q[1];
rx(0.995805182105581) q[2];
rz(1.631189392322332) q[2];
rx(0.3806156506492416) q[3];
rz(1.6828445100772695) q[3];
rx(1.8792278734084493) q[4];
rz(1.557562... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
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,
12.5,
-3.5,
14.5,
14,
19,
11.5,
8.5,
12,
2,
-10.5
] | 0.973972 | [
-0.8814340122900091,
-0.04958615103295745,
1.4930635817413016,
-0.07090240783534943,
0.9958051821055811,
0.060393065527435744,
0.38061565064924163,
0.11204818328237327,
1.879227873408449,
-0.013234101665659529,
1.9284955797350398,
0.028243522989424882,
1.7649058379284628,
0.021361083254188... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -97.5,
"target_ratio": 0.97,
"target_value": -94.575
} | 79 |
3536030517596435129 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 5, 6, 7], [0, 1, 5, 6, 7], [1, 2, 3, 6, 7], [0, 1, 2, 6], [0, 1, 2, 3, 5], [0, 1, 3, 6], [2, 3, 4, 5, 6], [0, 4, 6], [4, 5, 7], [1, 2, 3, 5, 6], [0, 4, 5], [1, 4, 7], [2, 3, 5, 7]]} | {"states": [126, 110], "expectation_value": -2.894015653356315, "params": [[[0.2383, 1.0538, 0.0033, 0.0068000000000000005], [0.0815, 1.0538, 0.0064, 0.0028], [1.5675000000000001, -0.0024000000000000002, 1.5687, 0.0046], [1.1133, -0.15810000000000002, 0.5893, 0.001], [1.5679, 0.0025, 1.5684, 0.004], [0.4667, -0.6989000... | 0.31666666666666665 * (Z(2) @ Z(5)) + 0.23333333333333334 * (Z(6) @ Z(5)) + 0.31666666666666665 * (Z(6) @ Z(2)) + 0.3833333333333333 * (Z(7) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.18333333333333335 * (Z(7) @ Z(6)) + 0.26666666666666666 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(0) @ Z(2)) + 0.383333333333333... | 11 | 8 | 1 | {"smallest_eigenvalues": [-3.1666666666666674], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0833333333333326, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 12.999999999999998} | 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[2];
rz(0.029820648576172143) q[2];
cx q[5], q[2];
h q[6];
cx q[5], q[6];
rz(0.01704248374380765) q[6];
cx q[5], q[6];
cx q[2], q[6];
rz(0.029820648576172143) q[6];
cx q[2], q[6];
h q[7];
cx q[5], q[7];
rz(0.0321... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIZIIZII",
"IZZIIIII",
"IZIIIZII",
"ZIZIIIII",
"ZIIIIZII",
"ZZIIIIII",
"IIZIIIIZ",
"IIIIIZIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIZIIIZI",
"IIIIIZZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIIIIIZZ",
"IIZIZIII",
"IIIIZZII",
"IZIIZIII",
"ZIIIZIII",
"IIIIZIIZ",
"IIIIZIZI",
"IIZZIIII",
"IIIZIZI... | [
0.31666666666666665,
0.23333333333333334,
0.31666666666666665,
0.3833333333333333,
0.21666666666666667,
0.18333333333333335,
0.26666666666666666,
0.13333333333333333,
0.3833333333333333,
0.05,
0.15000000000000002,
0.23333333333333334,
0.31666666666666665,
0.26666666666666666,
0.266666666... | 0.839619 | [
0.029820648576172143,
0.01704248374380765,
0.032104572618955135,
0.0930539376890486,
0.00973369619411554,
0.045303933120457995,
0.21067969521840327,
-0.4560622975814352,
0.000468648156604575,
0.3899154374530673,
1.0813878143844282,
-0.014542257935884388,
1.5790078233740983,
-1.096807195677... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -3.1666666666666674,
"target_ratio": 0.97,
"target_value": -3.071666666666667
} | 427 |
4743a42b98680c4f321c8f72a752812d | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [29, 447], "expectation_value": -3.1029903145010005, "params": [[-0.0478, -0.024300000000000002, -0.0608], [0.0665, 0.027200000000000002, 0.0604]], "bitstrings": ["111100010", "001000000"], "total_optimization_steps": 10, "probabilities": [0.00318583457926234, 0.0031957405860191727], "optimization_time": 6.0... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + 2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6... | 1 | 9 | 3 | {"smallest_eigenvalues": [-12.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.833333333333334, "smallest_bitstrings": ["001000000"], "largest_eigenvalue": 30.166666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.46649451005994) q[0];
h q[1];
ry(0.6154181234488859) q[1];
h q[2];
ry(-0.5514930215325138) q[2];
h q[3];
cx q[3], q[1];
ry(-0.6154181234488859) q[1];
cx q[3], q[1];
ry(0.8741378410306877) q[3];
cx q[1], q[3];
ry(-0.8741378410306877) q[3];
cx q[1], q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IZIIIZIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIZZIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIZIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZZIIII",
"IIZIIZIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
-0.5,
-0.5,
0.33333333333333337,
-0.5,
-0.5,
1,
0.5,
-0.5,
-0.5,
1,
-1,
-1,
2,
0.5,
-0.5,
-0.5,
1,
2,
1,
0.16666666666666674,
0.16666666666666674,
-0.5,
-0.5,
3.5,
7,
3.5,
-0.16666666666666666
] | 0.972673 | [
0.2709847211916842,
0.40264555795763096,
0.12899811327846203,
1.513137859795444,
0.35718583373419116,
1.7142782611060803,
1.7328222848880896,
0.6485768347912756,
1.4510178964029241,
1.2308362468977718,
1.7482756820613754,
0.93298902011988,
0.15122911101274447,
-1.1029860430650276,
0.1357... | {
"n_parameters": 46,
"n_qubits": 9,
"optimal_eigenvalue": -12.166666666666666,
"target_ratio": 0.97,
"target_value": -11.801666666666666
} | 19 |
7bc4dde9a09d0b94c5097b219891d81a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [3, 10], "expectation_value": -0.15383339481138572, "params": [[-0.053500000000000006, -0.0687], [0.055, 0.0712]], "bitstrings": ["1100", "0101"], "total_optimization_steps": 10, "probabilities": [0.07125481387725677, 0.07125481387725677], "optimization_time": 1.159686803817749} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(2) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0101"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZIZI",
"ZIIZ",
"IZZI",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
0
] | 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 |
ba516fd0ce7824e6228356c5f232cfab | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [65, 3], "expectation_value": -18.406045467201633, "params": [[0.022600000000000002, 0.0172, 0.0036000000000000003, 0.0053], [-0.053700000000000005, -0.0728, -0.055900000000000005, -0.038200000000000005]], "bitstrings": ["0111110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.0187785082931... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + ... | 13 | 7 | 4 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.16804737694979255) q[0];
rz(0.2082288294493435) q[0];
rx(0.15075704403065596) q[1];
rz(0.3081286351501191) q[1];
rx(-0.015577567956415184) q[2];
rz(0.2761028885907031) q[2];
rx(0.051898684280336976) q[3];
rz(0.6464979825533907) q[3];
rx(-0.06236402491160774) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
2.75,
3,
3,
3,
2.75,
2.75,
3,
3,
-10,
-10,
-10.5,
-10.5,
-10,
-9.5,
-9.5
] | 0.970246 | [
0.16804737694979255,
0.12269839746206923,
0.15075704403065598,
0.3741847015101376,
-0.015577567956415184,
0.3742638042105089,
0.051898684280336976,
0.5257644350645199,
-0.06236402491160774,
0.18361076482660355,
0.4922950906627197,
0.16963751239899966,
0.68348045398206,
0.11277220593759216,... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 6 |
2277377792064302310 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[5, 7], [8, 0], [6, 7], [9, 6], [1, 3], [3, 4], [1, 4], [0, 1], [9, 1], [9, 7], [8, 5], [2, 3], [4, 6], [4, 5]]} | {"states": [430, 422], "expectation_value": -1.9282129358404287, "params": [0.5262, -0.32680000000000003, 0.5111, 0.0048000000000000004, 1.067, 0.0975, 1.0622, 0.0029000000000000002, 1.0907, 0.0737, 1.0902, 0.0005, 0.49660000000000004, -0.31820000000000004, 0.48550000000000004, 0.0034000000000000002, 1.0912, 0.0921, 1.... | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.0 * Z(7) +... | 5 | 10 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001011001", "0110100110"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.06117247936966955) q[0];
rz(-1.0952955034966863) q[0];
rx(1.1520620911073465) q[1];
rz(-0.022627566047747294) q[1];
rx(1.6198781734428302) q[2];
rz(0.2669413818508497) q[2];
rx(0.11035805429513294) q[3];
rz(-0.535364567596202) q[3];
rx(1.6932785336729674) 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": []} | [
"IIZIZIIIII",
"IZIIZIIIII",
"IZIIIIIIIZ",
"IIZZIIIIII",
"ZIZIIIIIII",
"ZIIZIIIIII",
"IIIIIIIIZZ",
"ZIIIIIIIZI",
"IIIIIIZIZI",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIIIZZII",
"IIZIIIIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIIIIIIIIZ",
"IIIZIIIIII",
"ZIIIIIIIII"... | [
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
] | 0.970305 | [
0.06117247936966955,
-1.0229365379678022,
1.1520620911073465,
-0.053380936533669515,
1.61987817344283,
0.26951744273590694,
0.11035805429513297,
-0.3236230318493606,
1.6932785336729677,
-0.03428213855305535,
0.002386981238271302,
0.1682956568752422,
-0.09178903663446555,
0.9062145962787117... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 63 |
6506987244890392591 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 6, 7], [2, 4, 5, 6, 7], [0, 2, 4, 6], [3, 4, 6, 7], [0, 1, 2, 4, 7], [1, 2, 4, 5, 6], [0, 1, 2, 3, 4], [2, 3, 4, 6], [2, 3, 4, 5], [0, 1, 3, 4, 5], [1, 3, 4, 5, 7], [3, 5, 6], [0, 3, 5, 7]]} | {"states": [143, 206], "expectation_value": -0.06889081697665277, "params": [[0.0488], [-0.0396]], "bitstrings": ["01110000", "00110001"], "total_optimization_steps": 10, "probabilities": [0.004023046457179603, 0.0040281430948751725], "optimization_time": 0.9687709808349609} | 0.21666666666666667 * (Z(1) @ Z(6)) + 0.3 * (Z(7) @ Z(6)) + 0.26666666666666666 * (Z(7) @ Z(1)) + 0.26666666666666666 * (Z(2) @ Z(6)) + 0.15000000000000002 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(7)) + 0.35 * (Z(4) @ Z(6)) + 0.25 * (Z(4) @ Z(1)) + 0.23333333333333334 * (Z(4) @ Z(7)) + 0.44999999999999996 * (Z(4) @ Z(2)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.783333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["00110001"], "largest_eigenvalue": 13.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[1];
rz(-0.0011496678958940309) q[1];
cx q[6], q[1];
h q[7];
cx q[6], q[7];
rz(-0.04774525415041117) q[7];
cx q[6], q[7];
cx q[1], q[7];
cx q[6], q[2];
rz(0.004746162338727985) q[2];
cx q[6], q[2];
cx q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIZI",
"ZZIIIIII",
"ZIIIIIZI",
"IZIIIZII",
"IIIIIZZI",
"ZIIIIZII",
"IZIZIIII",
"IIIZIIZI",
"ZIIZIIII",
"IIIZIZII",
"IZZIIIII",
"IIZIIIZI",
"ZIZIIIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIIIZ",
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IZIIZIII",
"IIIIZIZ... | [
0.21666666666666667,
0.3,
0.26666666666666666,
0.26666666666666666,
0.15000000000000002,
0.1,
0.35,
0.25,
0.23333333333333334,
0.44999999999999996,
0.26666666666666666,
0.15000000000000002,
0.18333333333333335,
0.18333333333333335,
0.2833333333333333,
0.08333333333333333,
0.150000000... | 0.969848 | [
-0.0011496678958940309,
-0.04774525415041117,
0.004746162338727985,
-0.002911938566949621,
0.010101614518908763,
0.0011045155879848487,
-0.006259214275515933,
0.005553292118176208,
0.018999790802737785,
-0.007777323633531977,
3.152377049676472,
0.0012633038474506135,
0.0002009556860169499,
... | {
"n_parameters": 25,
"n_qubits": 8,
"optimal_eigenvalue": -2.783333333333334,
"target_ratio": 0.97,
"target_value": -2.699833333333334
} | 500 |
1c43c94da61f0edfd0d443bbe88c06e0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 5, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 3, "source": 1, "target": 6}, {"capacity": 5, "s... | {"states": [49, 113], "expectation_value": -16.05999235206001, "params": null, "bitstrings": ["111001110", "110001110"], "total_optimization_steps": 74, "probabilities": [0.36542885069883485, 0.3663016014635364], "optimization_time": 123.75395727157593} | -1.25 * (Z(0) @ Z(5)) + -1.5 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(0)) + -1.75 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(7)) + -1.75 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(7)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(8) @ Z(5)) + 2.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.75, -16.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["110001110", "111001110"], "largest_eigenvalue": 27.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7096524538958177) q[0];
ry(-1.1660792535146889) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(0.8016063020009442) q[3];
h q[4];
ry(1.6215168305103076) q[4];
cx q[4], q[1];
ry(-0.4940019436085512) q[1];
cx q[4], q[1];
cx q[4], q[3];
ry(-0.8016063020009442) q[3];
c... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-0.9755) 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] = ... | [
"IIIZIIIIZ",
"IZIZIIIII",
"IZIIIIIIZ",
"IIIZIIIZI",
"IZIIIIIZI",
"IIZZIIIII",
"IIZIIIIZI",
"IIIIIIZZI",
"IZIIIZIII",
"IIIIIZIZI",
"IZIIZIIII",
"IIIIZZIII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIIIIZII",
"... | [
-1.25,
-1.5,
-1,
-1.75,
-0.25,
-1,
-0.75,
-1.25,
-0.75,
-1.75,
-1,
-1.25,
-1.75,
2.5,
-1,
1.75,
-0.25,
-1,
-4.25,
-1.75,
1.25,
2.75,
1.75,
-0.25
] | 0.97075 | [
-0.8987190168887589,
-1.4193049077916353,
1.6215168305103076,
0.9880038872171024,
1.6032126040018884,
-1.4802450475759676,
1.1733599915568218,
-0.4209759517363419,
0.23543620061110307,
0.4637882315916415,
-0.5565317828448001,
-0.9536877394305293,
-1.1299335465881095,
-0.21413418314641697,
... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 62 |
23ed60bc96758366e843c21e3bc9a3e0 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [38, 7], "expectation_value": -9.192950785064385, "params": [[0.054200000000000005, 0.0317], [-0.0716, -0.0567]], "bitstrings": ["11011001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.009090327674344801, 0.009947242480569928], "optimization_time": 8.612814903259277} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.... | 7 | 8 | 2 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(2.2678692430954843) q[0];
ry(0.133982112329514) q[0];
rz(-1.6423171496700617) q[0];
rz(2.865239814634158) q[1];
ry(0.10791559648463672) q[1];
rz(-2.28638342328192) q[1];
rz(1.9493878355086798) q[2];
ry(0.421390967996594) q[2];
rz(-1.6340873891194703) q[2];
rz(1.60446... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
2.75,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.5,
-6.5
] | 0.970676 | [
-0.1009869528208311,
0.2011463194306295,
-0.18388450202335396,
0.11641300867557425,
-0.1790840385320124,
0.2759826702065239,
0.2521979674672631,
-0.4285969017555645,
-0.1906059886326268,
0.9293906646938866,
0.9046304454595955,
0.13113208583620667,
1.1395547029818167,
-0.04090143663475966,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 14 |
-1150492389707390021 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 5], [1, 3], [0, 1, 4], [4, 5, 6], [0, 3, 5], [1, 2], [0, 2]]} | {"states": [30, 99], "expectation_value": -0.9676733101724768, "params": [[-0.38520000000000004], [0.3748]], "bitstrings": ["1100001", "0011100"], "total_optimization_steps": 40, "probabilities": [0.027321275376856354, 0.027568695208370738], "optimization_time": 1.3257098197937012} | 0.3333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(5)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1666666666666674, "smallest_bitstrings": ["0011100"], "largest_eigenvalue": 5.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
ry(-0.19282979075679368) q[2];
cx q[1], q[2];
ry(0.19282979075679368) q[2];
cx q[1], q[2];
ry(-0.11023034960915779) q[2];
cx q[0], q[2];
ry(0.11023034960915779) q[2];
cx q[0], q[2];
ry(1.2089050774701982) q[0];
ry(1.6002909921646804) q[1];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(x1) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIIZIZI",
"IIIZIIZ",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIZZI",
"IIIIZIZ",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIZII"
] | [
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.3333333333333335,
0.5,
0.4999999999999999,
0.16666666666666... | 0.974555 | [
1.1890212262168645,
-0.38565958151358737,
1.6002909921646804,
-1.88664813292044,
-0.22046069921831557,
1.2162362856359377,
-0.5963033807483591,
0.21044464838888466,
-0.014662416331479272,
-0.2860211356897941,
-0.2092574782904654,
0.03810680414503052,
-0.7995745117342893,
0.6773722910568596... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 14 |
ac8f6040a5bb03cdcb904dd06b95ed2a | 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": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 2, "source": 4, ... | {"states": [7, 31], "expectation_value": -7.183017010257069, "params": null, "bitstrings": ["11111000", "11100000"], "total_optimization_steps": 51, "probabilities": [0.1459610964136302, 0.6774742925628697], "optimization_time": 69.5136992931366} | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7) + 3.5 * Z(4) + -1.2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-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, -8.5], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -7.5, "smallest_bitstrings": ["10000000", "11100000", "11010100", "11010000", "11000100", "11000000", "10110000", "10100000", "10010000", "11110000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7386445555225505) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.699357435260052) q[4];
h q[5];
ry(0.7857912315345207) q[5];
h q[6];
ry(0.7952068497622999) q[6];
cx q[4], q[6];
ry(-0.7952068497622999) q[6];
cx q[4], q[6];
cx q[6], q[5];
ry(-0.7857912315345207)... | 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(1.5577) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIZIZII",
"ZIIZIIII",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"IIZIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.75,
1,
-0.75,
-1,
-0.5,
-1.25,
-0.25,
-0.75,
-1.25,
-1.25,
-0.75,
-1.25,
-0.25,
0,
3.5,
-1.25,
-1.25,
-0.25,
0.75
] | 0.970151 | [
1.699357435260052,
1.5904136995245999,
1.6413495966824776,
-1.477289111045101,
1.5715824630690414,
-0.34092506407667983,
-1.075228145254072,
0.3564144742520738,
0.28922954353875785,
0.4885601712472523,
0.1255007105163221,
0.21953165800446972,
-0.743637569163143,
0.48812527030861697,
-1.0... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 15 |
067bba7d9e0fe420d5884521d34dafa4 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 8}, {"source": 3, "target":... | {"states": [0, 384], "expectation_value": -1.7894202751268944, "params": [[-0.0483], [0.0539]], "bitstrings": ["111111111", "001111111"], "total_optimization_steps": 10, "probabilities": [0.0029028528702160143, 0.0029622860937527796], "optimization_time": 0.8419277667999268} | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + -2.5 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(2)) + -3.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + -3.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(5)) + 1.0 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["001111111"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.05041179258029833) q[0];
rz(-2.719909479765745) q[0];
rx(1.7200972629910236) q[1];
rz(0.07103285617585892) q[1];
cx q[1], q[0];
ry(-1.2588516050312197) q[0];
cx q[1], q[0];
ry(2.0108675025537255) q[0];
rz(-1.3651713995873385) q[0];
rx(0.5640473340304691) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IZIIIZIII",
"IZIIIIZII",
"IIIZIZIII",
"IIIZIIZII",
"IZIZIIIII",
"IIZIIZIII",
"IIZIIIZII",
"IZZIIIIII",
"IIZZIIIII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZZIIII",
"IIZIZIIII",
"ZIIIIZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZIIIZIIII",
"IIIIIIIZI",
"... | [
-1,
-3,
-2.5,
-2,
-3.5,
1,
0.5,
-3,
0.5,
0.5,
-3,
0.5,
0.5,
-3,
1,
0.5,
0.5,
1.5,
-3,
-2.5,
0.5,
0.5,
1.5,
-3,
1,
-3,
1.5,
-2,
-2.5
] | 0.971329 | [
-0.05041179258029833,
1.992479500618945,
1.7200972629910236,
0.07103285617585892,
-0.02802732907657934,
2.2213423494053908,
2.1812334608546644,
2.2393393674732027,
2.37894927863878,
0.053218482574419204,
2.078452795928211,
2.1905455456001133,
2.287761856560583,
2.5177032100624395,
0.7842... | {
"n_parameters": 32,
"n_qubits": 9,
"optimal_eigenvalue": -27,
"target_ratio": 0.97,
"target_value": -26.189999999999998
} | 5 |
9ccd9f6529d5a9ac74541f04b00ec686 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [256, 1], "expectation_value": -11.193363063749366, "params": null, "bitstrings": ["011111111", "111111110"], "total_optimization_steps": 24, "probabilities": [0.16205181912501485, 0.8147158739088153], "optimization_time": 33.71298956871033} | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(6)) + -0.75 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 11.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6091848325332633) q[0];
h q[1];
ry(-1.588452627671235) q[1];
h q[2];
ry(-1.6276946459033956) q[2];
h q[3];
ry(-1.6276946459033956) q[3];
ry(-0.10662316151948092) q[4];
rz(-pi) q[4];
ry(-0.06371914567816628) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.627694645903395... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIZIIIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIIZII",
"IIIIIIZZI",
"IIIZIZIII",
"IIZIIZIII",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZZIIII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IZIIIIIII",
"... | [
-0.75,
-0.5,
-0.25,
-0.75,
-0.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.75,
-0.5,
-1.5,
-0.75,
-0.5,
-0.75,
1.75,
-0.25,
0.5,
-0.25,
0.25,
-0.25,
1,
0.5,
-2,
-0.5,
0.75
] | 0.971196 | [
-1.6276946459033956,
-1.2183696650665266,
1.3510578111873717,
-0.7713033139955954,
-1.366570324306977,
-1.4860400757306838,
-1.588452627671235,
-1.5667305303450199,
-0.19520568193687776,
-0.03553861133999609,
-0.04207421077209303,
-0.3488304077040262,
-0.07966413657683813
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 12 |
d335d344da78456c467f5a7e06677868 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [13, 269], "expectation_value": -8.085240049264875, "params": [[[0.8058000000000001, -0.0021000000000000003], [-0.0123, 0.3871], [-0.0008, 0.4214], [0.0029000000000000002, -0.37420000000000003], [0.0037, -0.40690000000000004], [0.8024, -0.0027], [0.8114, 0.0038], [0.0008, -0.42100000000000004], [0.8046000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ 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(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["011110010"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-2.885415456934208) q[0];
rz(-0.173422783467716) q[0];
rx(0.06441936096145225) q[1];
rz(-0.12344734115352773) q[1];
rx(-0.04654987129151389) q[2];
rz(0.8892050610959394) q[2];
rx(-0.11066405891029252) q[3];
rz(-0.36181467051221716) q[3];
rx(-0.11352504879689383) 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": []} | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIIZIIZI",
"IIIIIZZII",
"IIIIZZIII",
"IIIIIZIZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIIIZI",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-2.5,
-2,
-2.5,
-1.5,
-0.5,
-2,
-2.5
] | 0.987471 | [
3.397769850245379,
-0.05097080009987083,
0.06441936096145225,
0.06699757997634005,
-0.046549871291513896,
0.8228410058519645,
-0.11066405891029252,
-0.3601199260380509,
-0.11352504879689382,
-0.7587679672024403,
2.6278643703118,
0.49248602591518875,
2.931109382239383,
0.3967084839325517,
... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 16 |
df291902c871f6dbb60c148e9571c06f | 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": 0, "target": 4}, {"source": 0, "target":... | {"states": [511, 510], "expectation_value": -40.52463340555912, "params": [[[0.0029000000000000002, 3.1612], [0.0019, 0.002], [0.0021000000000000003, 0.002], [0.0019, 0.002], [0.0021000000000000003, 0.002], [0.0019, 0.002], [0.0023, 0.0021000000000000003], [1.623, -0.0029000000000000002], [0.0026000000000000003, 0.0029... | -3.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 1.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(3)) + -3.5... | 15 | 9 | 1 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.0, "smallest_bitstrings": ["000000001"], "largest_eigenvalue": 31.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.5195591691043847) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.28527407850417524) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.43057299297269147) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.682541815658909) q[3];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x1) q[3];
ry(x2) q[4];
ry(x1) q[5];
ry... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"... | [
-3.5,
1,
-4,
-2.5,
-3,
0.5,
1,
-3.5,
-3,
1,
1,
-3.5,
1.5,
-3,
-3.5,
-3.5,
1.5,
-3,
0.5,
-3.5,
1,
0.5,
1,
-3,
0.5,
1.5,
-3.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.535746 | [
-0.5195591691043847,
-0.28527407850417524,
-0.43057299297269147,
-0.682541815658909,
-0.6336429644516204,
-0.10707601252825519,
-0.3502200525585478,
-1.5707962652472778,
-1.0507199017298698
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -41,
"target_ratio": 0.97,
"target_value": -39.769999999999996
} | 239 |
6930813728214232413 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 4], [3, 5], [0, 5, 6], [2, 3, 4, 6], [2, 5]]} | {"states": [89, 121], "expectation_value": -1.7812283802460518, "params": [[[3.1389, 0.0067], [1.6392, 0.003], [3.1387, 0.0036000000000000003], [3.1395, 0.0038], [0.3951, 0.0017000000000000001], [0.002, 0.0068000000000000005], [3.1396, 0.0061]]], "bitstrings": ["0100110", "0000110"], "total_optimization_steps": 380, "p... | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0000110"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-2.8597287060082355) q[0];
rz(-pi) q[0];
ry(-2.1519355610592488) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
h q[4];
ry(-0.5238393366384398) q[4];
h q[5];
ry(-0.2912597283885975) q[5];
cx q[3], q[5];
ry(0.2912597283885975) q[5];
cx q[3], q[5];
ry(-0.2687616639817444) q[5];
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] 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": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IZIIIIZ",
"IZIZIII",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.5,
0.0... | 0.971304 | [
1.3378899803775661,
-0.582519456777195,
1.5247121902195953,
-0.5375233279634888,
1.1738316479087147,
-0.7153876324036403,
-0.010186408451959665,
1.1117204636790237,
0.23408548018727227,
-0.3918147163391917,
0.3544238310686308,
-1.0476786732768797,
-0.5402331754411949,
0.31623811513795724,
... | {
"n_parameters": 41,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333335,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 19 |
aa593368bb5365cab30d0ff25322eaa9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [3, 67], "expectation_value": -8.485601272686676, "params": null, "bitstrings": ["111111100", "110111100"], "total_optimization_steps": 46, "probabilities": [0.3459843567516485, 0.36809101070410793], "optimization_time": 47.9280047416687} | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.0 * Z(8) + 0.25 * Z(1) + -0.5 * Z(6) + -2.5 * Z(5) + 1.0 * Z(2) + -0.25 * Z(4)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.25, "smallest_bitstrings": ["111111110", "111111100", "110111100", "110111110"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2604022855737892) q[0];
rz(-0.01537861649750738) q[0];
rx(-0.12818536156118715) q[1];
rz(-0.0869066548434887) q[1];
rx(0.17384250003208646) q[2];
rz(0.07010493845988597) q[2];
rx(0.1597859737204616) q[3];
rz(-0.1345468314568281) q[3];
rx(-0.018218472456728235) q[4... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IIIZIZIII",
"IIIZIIZII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IZIIIIIII"
] | [
-0.75,
1,
-1,
-0.75,
-0.75,
-1,
-0.25,
-1,
-0.75,
-0.5,
-0.25,
1,
0.25,
-0.5,
-2.5,
1,
-0.25,
1.75
] | 0.972242 | [
-0.2604022855737892,
0.018502660556804107,
-0.12818536156118712,
-0.06547363986262428,
0.17384250003208646,
0.07050808954344356,
0.1597859737204616,
-0.08364495497588834,
-0.018218472456728235,
-0.32470608609845375,
-0.048560420322889965,
-0.08972281135762039,
-0.06810126215350618,
0.05827... | {
"n_parameters": 161,
"n_qubits": 9,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 5 |
abd98046d0c629ac9c259c0e8c4b3e7e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5},... | {"states": [2032, 2047], "expectation_value": -0.4167796212224683, "params": [[0.0396], [-0.0274]], "bitstrings": ["00000001111", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0005687305200184704, 0.0005743873834571982], "optimization_time": 3.300802230834961} | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(7)) + 1.0 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(7)) + -... | 1 | 11 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.7073169346974274) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.7073169346974274) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.33799884747531117) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(-0.7073169346974274) 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[11] c;
qubit[11] 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];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3... | {"node": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIIIZIZI",
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIIZ... | [
-2,
-2,
0.5,
-2,
0.5,
0.5,
-1.5,
0.5,
-1.5,
-2.5,
-2,
-2.5,
1,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-2,
1,
1
] | 0.522713 | [
-0.7073169346974274,
-0.33799884747531117,
-1.1358175182492931,
-0.7513758170332887,
-0.20975062885851417,
-0.9512090989755659
] | {
"n_parameters": 6,
"n_qubits": 11,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 167 |
12625ff7963f220cedd44f15c6035b49 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 4, "so... | {"states": [1010, 2042], "expectation_value": -18.95865574482283, "params": null, "bitstrings": ["1110000001101", "1100000000101"], "total_optimization_steps": 100, "probabilities": [0.09426666769276475, 0.553797053621311], "optimization_time": 420.7760057449341} | -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 *... | 1 | 13 | 3 | {"smallest_eigenvalues": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -18.75, "smallest_bitstrings": ["1101000011010", "1100000000101", "1110000010010", "1101000011101", "1110000010101", "1110000001101", "1100000000010", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(0.0337115844172802) q[5];
cx q[6], q[5];
h q[7];
cx q[6], q[7];
rz(0.018414539975709646) q[7];
cx q[6], q[7];
cx q[5], q[7];
rz(-2.0778790141223) q[6];
rx(1.332290205529361) q[6];
rz(0.0337115844... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(0.4397) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = meas... | [
"IIIIZIIIIIZII",
"IIIIIIIIIZZII",
"IIIIZIIIIZIII",
"IIIIIIIIZIZII",
"IIIIZIIIZIIII",
"IIIIIIIIZZIII",
"IIIZIIIIIIZII",
"IIIZZIIIIIIII",
"IIIZIIIIIZIII",
"IIIZIIIIZIIII",
"IIIIIIZZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIZIIIII",
"IIIIIIIIIIZIZ",
"IIIIZIIIIIIIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZII... | [
-1,
2,
-2,
2,
-2,
4,
-1,
1,
-2,
-2,
1,
2,
1,
0.5,
-0.5,
1,
1,
-0.5,
0.5,
-0.5,
1,
1,
-0.5,
0.25,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
-1,
1,
-2,
-2,
1,
-1,
-1,
1,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
0.5,
1,
2,
-2,
4,
... | 0.934646 | [
-0.017945495095570838,
0.018414539975709646,
-0.01256029963426791,
-0.822997322774261,
0.0337115844172802,
0.09403212308213957,
-0.049568322743649015,
-0.09733760106877386,
-2.0778790141223,
-0.6586234365540318,
1.117303174346778,
1.332290205529361,
0.16829227678709818,
-0.1470933503730152... | {
"n_parameters": 34,
"n_qubits": 13,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 500 |
5ac5bb66dfdef930ee51dbc17c1885bf | 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": [934, 422], "expectation_value": -79.79325679282067, "params": [0.36510000000000004, 0.3029, 0.7856000000000001, -0.0073, 0.793, 0.1663, 0.1529, 0.3778, 0.7845000000000001, 0.18180000000000002, -0.006900000000000001, 0.4642, 0.0017000000000000001, 0.5871000000000001, 0.7868, -0.0079, 0.7905000000000001, 0.14... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(4) @ Z(0)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(9) @ Z(7)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(8) @ Z(9)) + 7.0 * Z(1) + 11.0 * Z(0) + 2.5 * Z(3) + 9.5 * Z(2) + 14.0 * Z(4) + -1.5 * Z(5)... | 18 | 10 | 4 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["1001011001"], "largest_eigenvalue": 151.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.09096660114743706) q[0];
rz(0.019373729065264023) q[0];
rx(0.6684788957898662) q[1];
rz(-0.11815676956660875) q[1];
rx(0.7356546717625934) q[2];
rz(0.1732360206147526) q[2];
rx(0.06179268518578444) q[3];
rz(0.67824868177519) q[3];
rx(0.6814184207582831) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIZIIIZ",
"IIIIZZIIII",
"IIZIIIIZII",
"ZIZIIIIIII",
"IZIIIIIIIZ",
"IZIIIZIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
7,
11,
2.5,
9.5,
14,
-1.5,
12.5,
2,
19.5,
-8.5
] | 0.970221 | [
0.09096660114743704,
0.21747247294380898,
0.6684788957898662,
-0.11815676956660875,
0.7356546717625934,
0.1732360206147526,
0.06179268518578444,
0.67824868177519,
0.6814184207582831,
0.055492622977794864,
-0.06134905039461404,
0.5388006521696465,
0.02606604271756985,
0.6050604396982248,
... | {
"n_parameters": 111,
"n_qubits": 10,
"optimal_eigenvalue": -87,
"target_ratio": 0.97,
"target_value": -84.39
} | 3 |
3485463351510977543 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 4], [2, 3], [0, 1]]} | {"states": [19, 11], "expectation_value": -1.3449506149011068, "params": null, "bitstrings": ["01100", "10100"], "total_optimization_steps": 27, "probabilities": [0.055377137294705066, 0.7831782156395141], "optimization_time": 13.661505222320557} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.5, "smallest_bitstrings": ["10011", "10100", "01011", "01100"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1960618642082) q[0];
cx q[1], q[0];
rz(-2.970814794167609e-08) q[0];
rx(-0.7853981618643683) q[0];
rz(-2.970814794167609e-08) q[1];
rx(-0.7853981618643683) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(1.1960618642082) q[2];
cx q[4]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[4], 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"ZIZII",
"IZZII",
"IIIZZ",
"ZIIII",
"IIZII",
"IZIII",
"IIIZI",
"IIIIZ"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.733945 | [
1.1960618642082,
-2.970814757300776e-8,
-0.7853981618643683
] | {
"n_parameters": 3,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 101 |
73234867a8d73902463f648150631001 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 5, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.7546427498841402, "params": [[-0.0763], [0.0777]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.01100539395194432, 0.01111253878148347], "optimization_time": 3.17665958404541} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -1.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -2.5 * Z(6) + 1.75 * Z(2) + 2.0 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.09719419956319378) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.6989836249551739) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[2];
rz(-0.06470448402436971) q[2];
cx q[1], q[2];
rz(0.6633440307529... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIIZZI",
"ZIIIZII",
"ZIIZIII",
"IIIZZII",
"IIZIZII",
"ZZIIIII",
"IZIZIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
-1,
0.5,
-1.25,
-0.25,
-1.25,
-1.5,
-1.25,
-0.5,
-0.75,
-0.75,
-0.5,
-0.25,
-2.5,
1.75,
2,
0.5,
-1
] | 0.898383 | [
-0.09719419956319378,
0.6989836249551739,
0.9270975937150174,
-0.06470448402436971,
0.08956044328374929,
0.663344030752968,
0.01750334737436496,
-4.564173153836214,
2.1872018918678604,
0.9714600095726166,
1.1411583059189332,
-0.16415140025758682,
1.7339458795436893,
0.6659884089974357,
0... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 500 |
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