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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5fcc80649738bc6ebb5e6ed34bbe4c7e | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [233, 218], "expectation_value": -51.83025940389548, "params": null, "bitstrings": ["100010110", "100100101"], "total_optimization_steps": 100, "probabilities": [0.05386737886444366, 0.32813936282799694], "optimization_time": 184.55553436279297} | 4.5 * (Z(1) @ Z(0)) + 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(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 191.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(0.010140391540180461) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(0.010140391540180461) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.010140391540180461) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(0.010140391540180461) q[2];
c... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-7.2777) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
9.5,
19,
20.5,
19,
5,
16,
0.5,
22.5,
7
] | 0.970303 | [
0.010140391540180461,
-0.8817694782888895,
1.3155263900677148,
1.4508759433310259,
-0.8101524928797088,
1.3137525011632658,
-1.6824904086684709,
1.3585931394344348,
-1.481841102148397,
-1.6431853813891013,
0.03533870379598659,
-0.15660633617743086,
-1.9455151141205964,
-0.885918599559516,
... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -93,
"target_ratio": 0.97,
"target_value": -90.21
} | 76 |
ece93f03d7a1dee284a869efb9bed9c1 | 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": [1415, 1411], "expectation_value": -100.28853152772692, "params": [2.8078000000000003, 0.0039000000000000003, 0.922, 0.0025, 2.8002000000000002, 0.0004, 2.805, 0.0041, -0.0027, 0.0081, 0.0029000000000000002, 0.0095, 1.0901, 0.009000000000000001, 0.0029000000000000002, 0.0036000000000000003, 1.524700000000000... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(10) @ Z(2)) + 6.5 * (Z(10) @ Z(6)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(10)) + 6.5 * (Z(9) @ Z(10)) + 6.5 * (Z(9) @ Z(8)) + 6.5 * (Z(5) @ Z(9)) + 12.5 * Z(0) + 22.5 * Z(2) + 3.... | 18 | 11 | 1 | {"smallest_eigenvalues": [-121.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.5, "smallest_bitstrings": ["01001111100"], "largest_eigenvalue": 167.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-3.0844096295873134) q[0];
rz(0.24609898296835375) q[0];
rx(-0.1837946113463472) q[1];
rz(-0.2747238627629308) q[1];
rx(3.0209450283107113) q[2];
rz(-0.20123143494730725) q[2];
rx(3.0723662523989166) q[3];
rz(0.5352029598179416) q[3];
rx(-0.06202093006352901) 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[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIZZIII",
"IIIIZIIIZII",
"IIIZIIIIIIZ",
"ZIIIIIIIZII",
"ZIIIZIIIIII",
"IIZIIIIZIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IZZIIIIIIII",
"IZIIIZIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIZIIII... | [
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,
12.5,
22.5,
3.5,
-3,
10,
4.5,
-6,
19,
10.5,
15.5,
-6
] | 0.987425 | [
3.1987756775922733,
0.21512313437107916,
-0.1837946113463472,
-0.2747238627629308,
3.0209450283107113,
-0.20123143494730725,
3.0723662523989166,
0.5352029598179416,
-0.06202093006352901,
-0.08243269526192921,
0.0927000634410619,
0.22983471848484577,
0.16914030208764513,
0.16926348985378348... | {
"n_parameters": 31,
"n_qubits": 11,
"optimal_eigenvalue": -121.5,
"target_ratio": 0.97,
"target_value": -117.85499999999999
} | 14 |
8198021928293f705270038472b9e016 | 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": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 7, "source": 0, "target": 3}, {"capacity": 7, "s... | {"states": [0, 1], "expectation_value": -25.427103958219963, "params": [0.0049, -0.0989, 0.0019, 0.1313, -0.0033, -0.223, 0.002, -0.2273, -0.004, -0.1373, -0.0013000000000000002, -0.1232, -0.004200000000000001, -0.2086, -0.0016, -0.2156, -0.0033, -0.21760000000000002, -0.0023, -0.2258, -0.0001, -0.1774, -0.005, -0.22, ... | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(0)) + -1.75 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + 5.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 5 | 9 | 3 | {"smallest_eigenvalues": [-33.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 23.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2154578741281564) q[0];
rz(0.34104839509878815) q[0];
rx(0.014353031530877552) q[1];
rz(-0.20570222180983766) q[1];
rx(0.08050603302810429) q[2];
rz(-0.008367973851877153) q[2];
rx(0.08050603302810427) q[3];
rz(0.16236793919225168) q[3];
rx(0.12664392325642937) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIZIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"IZIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-1,
-0.5,
-1,
-0.5,
-1.75,
-1.75,
-1.5,
5.75,
-0.5,
-1,
-0.5,
-1.25,
-2.75,
-0.5,
-0.25,
-0.25,
-0.25,
-1.75,
-1,
-0.75,
-0.25,
-0.75,
0.25,
-1,
5.25,
0,
-0.5,
-2.25
] | 0.970861 | [
-0.21545787412815637,
0.3285993477694789,
0.014353031530877552,
-0.021653355952673856,
0.08050603302810427,
-0.07075527064291534,
0.1259199627627,
0.12664392325642937,
-0.06670408457052271,
-0.12000144934019084,
0.21144554096104196,
-0.14863542639379768,
-0.11968746102607022,
0.24510922225... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -33.25,
"target_ratio": 0.97,
"target_value": -32.2525
} | 9 |
473775bc8d8b4cca680d00f7b64c1aa1 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [44, 41], "expectation_value": -0.9331891264748682, "params": [[-0.0854, -0.07300000000000001], [0.0806, 0.069]], "bitstrings": ["010011", "010110"], "total_optimization_steps": 10, "probabilities": [0.023807807049553067, 0.023807807049553084], "optimization_time": 3.105473756790161} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["010011", "010110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022388232708840404) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022388232708840404) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022388232708840404) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.022388232708840404) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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 q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIZI",
"IZIIIZ",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"ZIIIZI",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-2,
-0.5,
-1,
-1
] | 0.970792 | [
0.022388232708840404,
-0.16546972504389865,
1.387189998889542,
1.1317721305414625,
-1.0291416278486831,
1.3553919116902904,
-0.24772195907827305,
-0.6852193775874179,
1.0091668921719015,
0.9126657422045303,
0.15550491965267638,
0.23151516878776346
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 42 |
ceada473950316c985fdaa58a8618609 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 3}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [189, 109], "expectation_value": -10.076870290366198, "params": [[-0.045000000000000005], [0.066]], "bitstrings": ["01000010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.006970655825241817, 0.007618291520637398], "optimization_time": 3.0829553604125977} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 167.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.018928191739904274) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.018928191739904274) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.018928191739904274) q[2];
cx q[0], q[2];
rz(0.14657733939079343) q[0];
rx(0.3533677365058779) q[0];
h 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;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
14,
4.5,
17.5,
13,
15,
23,
6.5,
13.5
] | 0.971601 | [
0.018928191739904274,
-1.2296849783401864,
0.14657733939079362,
-1.2247777007286582,
-0.06013279515597353,
-2.0386095780878914,
-1.6431671013193643,
0.6421356284179992,
-1.8359197421625808,
0.3533677365058779,
-0.05358507740007074,
-0.44427693109859534,
1.4350546521930594,
-0.6327842321609... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 68 |
c835fa1e3e69cb531a622e34cffeb2bc | 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": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 7}, {"weight": 20, "source": 0, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [216, 218], "expectation_value": -48.25420584016924, "params": null, "bitstrings": ["100100111", "100100101"], "total_optimization_steps": 100, "probabilities": [0.051285973196568635, 0.25117832528127026], "optimization_time": 202.5686731338501} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 180.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.012688580307125708) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.012688580307125708) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.012688580307125708) q[1];
cx q[0], q[1];
rz(1.5707728208002596) q[0];
rx(1.5719309045425545) q[0];
h q[3... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(23.9941) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"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,
11.5,
3.5,
19,
18.5,
4.5,
18.5,
3,
23.5,
11
] | 0.951132 | [
0.012688580307125708,
-1.5707841880784301,
1.5707728208002592,
-1.5707826865525911,
-1.5708294960872318,
1.5707747758463055,
-1.5707792663486049,
1.5707593339003678,
1.5719309045425545
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -91.5,
"target_ratio": 0.97,
"target_value": -88.755
} | 231 |
ff8f6474b0b3776619eb1312dc4aadc1 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target":... | {"states": [730, 666], "expectation_value": -8.500769834883322, "params": [[1.58, 0.0019, 1.5804, -0.0043, 0.0023, 1.5790000000000002, -0.002, 0.002, 1.5764, 0.0019], [1.5745, 0.0033, 1.5739, 1.5271000000000001, -0.0021000000000000003, 1.5749, 1.6145, 0.002, 1.5738, -0.0019]], "bitstrings": ["0100100101", "0101100101"]... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["0100101101", "0101100101"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.531874719469584) q[0];
ry(0.05061361264077563) q[1];
ry(1.815908284875443) q[2];
ry(-0.34568889052885804) q[3];
ry(-0.08580229048957635) q[4];
ry(1.6327136117201766) q[5];
ry(-0.1587958887502556) q[6];
ry(-0.009290967375910772) q[7];
ry(1.911426403917825) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIIZ",
"IIZIIIIIZI",
"IIIIIIIZZI",
"IIZIIIZIII",
"IIIIIIZIZI",
"IIZIIZIIII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IZIIIIIIZI",
"IZIIIZIIII",
"ZIIIIIIIZI",
"ZIIIIIIZII",
"ZIIIIZIIII",
"IIIZIIZIII",
"ZIIZIIIIII",
"IIZIZIIIII",
"IIIIZZIIII",
"ZIIIZIIIII",
"IIZIIIIIII",
"IIIIIIIIIZ"... | [
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,
0,
-2.5,
-0.5,
-1.5,
-2.5,
-0.5,
-2,
-0.5,
-1
] | 0.972878 | [
1.531874719469584,
0.05061361264077563,
1.815908284875443,
-0.34568889052885804,
-0.08580229048957635,
1.6327136117201766,
-0.1587958887502556,
-0.009290967375910772,
1.911426403917825,
1.6755084845825752,
-0.08354122402252734,
1.1955263933492781,
2.5349374983440525,
-0.12651633399050327,
... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 26 |
a20be77afa1a8b9b75f27972fb6e9517 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, ... | {"states": [73, 75], "expectation_value": -16.529946358874202, "params": [-0.0029000000000000002, 1.4469, 1.0481, 0.0036000000000000003, -0.0028, 1.3711, -0.0027, 1.1671, 1.0414, 0.26530000000000004, 0.0014, 1.508, -0.5989, 1.4286, 1.064, 0.0704, -0.0039000000000000003, 1.3606, 1.0567, 0.0095, -0.0029000000000000002, 1... | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + 3.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -1.75 * (Z(1) @ Z(6)) + -1.25 * (Z(1) @ Z(7)) + -3.5 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z... | 3 | 8 | 3 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["10110100"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.05785398922763691) q[0];
rz(0.9342280145004445) q[0];
rx(0.7626187134539208) q[1];
rz(-0.24053467267746909) q[1];
rx(-0.10035809769432782) q[2];
rz(0.6211498284047625) q[2];
rx(0.04463559473375353) q[3];
rz(0.8788715835127476) q[3];
rx(0.8867672592479486) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIIIIZ",
"IZIIZIII",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIIIZZII",
"IIZIIZII",
"IIIIIZZI",
"IIIZIIZI",
"IIIZIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII"
] | [
-1.25,
-1.5,
-0.25,
-0.5,
3.5,
-1,
-0.5,
-1.75,
-1.25,
-3.5,
-0.25,
-0.5,
-0.5,
-0.75,
-1,
-0.25,
-0.75,
-1.5,
1.25,
1.5,
-0.5,
1.25
] | 0.978259 | [
-0.05785398922763691,
0.9626868323019014,
0.7626187134539207,
0.07050497449428902,
-0.10035809769432782,
1.126467781728492,
0.044635594733753524,
0.6411558748450237,
0.8867672592479487,
0.1939324997068545,
-0.10644275659624078,
0.5923681216939789,
0.8686606758937725,
0.5371592941047285,
... | {
"n_parameters": 89,
"n_qubits": 8,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 13 |
6125947611399702618 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 5], [0, 4], [3, 5], [0, 3], [1, 3]]} | {"states": [52, 49], "expectation_value": -2.0723991504925494, "params": null, "bitstrings": ["001011", "001110"], "total_optimization_steps": 37, "probabilities": [0.019091994219810157, 0.8392001302408019], "optimization_time": 33.84797716140747} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * Z(2) + 0.16666666666666674 * Z(0) + 0.16666666666666663 * Z(5) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 *... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.23166934074986875) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.23166934074986875) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.2316693407498689) q[2];
rx(0.7623464179946611) q[2];
rz(-0.23166934074986875) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"IZIIIZ",
"IIZIIZ",
"ZIZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIZIII",
"IIIIZI"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666674,
0.16666666666666663,
0,
0,
0
] | 0.459863 | [
-0.23166934074986875,
-0.8487932375188828,
0.0913284032911582,
0.7623464179946612
] | {
"n_parameters": 4,
"n_qubits": 6,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 113 |
7028303035856942011 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 3], [8, 3, 5, 7], [0, 7], [2, 4], [1, 6]]} | {"states": [234, 203], "expectation_value": -0.9494806507044504, "params": [0.49150000000000005, 0.3713, 0.4948, 0.0057, 1.1057000000000001, 0.0829, 1.1077000000000001, 0.003, 1.089, -0.0235, 1.0799, 0.0023, 1.0912, -0.1832, 1.0852, 0.0025, 0.5238, 0.3815, 0.4943, 0.0083, 1.0946, -0.161, 1.0939, 0.0055000000000000005, ... | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(... | 5 | 9 | 1 | {"smallest_eigenvalues": [-2.0833333333333335, -2.0833333333333335, -2.0833333333333335, -2.0833333333333335], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.083333333333333, "smallest_bitstrings": ["101100100", "101000101", "100110100", "100010101"], "largest_eigenvalue": 3.4999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.5057500095814821) q[0];
h q[1];
h q[2];
h q[3];
ry(1.3620777193875384) q[3];
h q[4];
ry(-0.5057500095814821) q[4];
cx q[2], q[4];
ry(0.5057500095814821) q[4];
cx q[2], q[4];
ry(0.9676797683186803) q[2];
ry(-0.520133248369733) q[4];
ry(-2.093918991287593) 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": []} | [
"ZIIIIIIZI",
"IIIIIZIZI",
"ZIIIIZIII",
"ZIIZIIIII",
"IIIZIZIII",
"ZZIIIIIII",
"IZIIIZIII",
"IZIZIIIII",
"IZIIIIIIZ",
"IIIIZIZII",
"IIZIIIIZI",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIZII",
"IIZIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.16666666666666663,
0.29166666666666663,
0.29166666666666663,
0.125,
0.125,
0,
0,
0,
0
] | 0.971907 | [
1.3620777193875384,
-1.0115000191629642,
0.6722483700230566,
0.9418597105765946,
0.6435922892642507,
-0.9066335517649884,
0.6178858357644452,
-0.627789677802081,
0.48795090489524173,
-0.35004544552920247,
0.6481749581088592,
-0.3401756056810609,
-0.1797241460468243,
-0.3348228197840093,
... | {
"n_parameters": 57,
"n_qubits": 9,
"optimal_eigenvalue": -2.0833333333333335,
"target_ratio": 0.97,
"target_value": -2.0208333333333335
} | 12 |
69144809aea48cb46eae9c3950f24a15 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [3443, 3445], "expectation_value": -6.245388836691124, "params": null, "bitstrings": ["001010001100", "001010001010"], "total_optimization_steps": 100, "probabilities": [0.0570046881067329, 0.8149526781416564], "optimization_time": 322.5241892337799} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100001100010", "100100001010", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5681) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIZIIIIIII",
"IZIIIIIIIIZI",
"IZZIIIIIIIII",
"ZIIZIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1,
1,
1,
0.75,
0.75,
0.75,
1,
1,
1
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
6b7ed53a34b4dd2aa2503ba0aafc7221 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [0, 1], "expectation_value": -4.526005320621771, "params": [[[-0.0009000000000000001, 0.21680000000000002], [0.0041, 0.2479], [0.0055000000000000005, 0.18000000000000002], [0.0014, 0.25980000000000003], [0.0023, 0.31], [0.4006, 0.0027]], [[0.004, 0.2558], [-0.0001, 0.3124], [-0.0012000000000000001, 0.309], [... | -0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(1) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.75 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.75 * Z(2) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.00277685182702987) q[1];
cx q[2], q[1];
rz(0.0027768518270301357) q[2];
rx(1.5696210211582238) q[2];
h q[3];
cx q[3], q[0];
rz(0.00277685182702987) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.0019952943025770145) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIIZZI",
"ZIIIIZ",
"ZIIIZI",
"IZZIII",
"IZIIZI",
"IIZIII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"ZIIIII",
"IZIIII"
] | [
-0.75,
-0.75,
1,
-0.5,
-1.75,
-0.75,
-0.5,
-0.25,
-0.75,
0.5,
0.5,
0.5
] | 0.735473 | [
0.00277685182702987,
1.1759267912363337e-7,
-0.17998381122439663,
0.0019952943025770145,
1.5707941432274504,
-1.5708341891253215,
1.5696210211582238
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 237 |
-3098183377770284745 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 12], [12, 6], [2, 7], [8, 9], [0, 11], [8, 5], [4, 6], [11, 4], [10, 2], [3, 6], [2, 5], [2, 6], [5, 7], [0, 8], [2, 12], [3, 11], [1, 2], [8, 3], [11, 5], [0, 7], [2, 11], [11, 7], [0, 3], [9, 5], [1, 11], [9, 3], [8, 4], [3, 5], [8, 7], [4, 5], ... | {"states": [559, 815], "expectation_value": -0.791160735003087, "params": [0.6406000000000001, 0.6433, 0.6322, 0.6351, 0.6397, 0.6383, 0.91, 0.9104000000000001, 0.8691000000000001, 0.8709, 0.631, 0.6282, 0.6363, 0.6352, 0.9375, 0.9392, 0.6648000000000001, 0.6661, 0.9393, 0.9481, 0.9570000000000001, 0.9658, 0.9231, 0.92... | 0.5 * (Z(1) @ Z(12)) + 0.5 * (Z(6) @ Z(12)) + 0.5 * (Z(2) @ Z(12)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(12)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z... | 13 | 13 | 1 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["1110011010000", "0001100101111"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.57331046650689) q[0];
rz(-0.009164078149331054) q[0];
ry(-1.1164540883316347) q[1];
ry(0.7986052623190395) q[2];
ry(1.2384133317849102) q[3];
ry(1.675389488229226) q[4];
ry(0.0328230529795073) q[5];
ry(0.6196941479223702) q[6];
ry(1.6203834564472466) q[7];
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": []} | [
"ZIIIIIIIIIIZI",
"ZIIIIIZIIIIII",
"ZIIIIIIIIIZII",
"IIIIIIIIIIZZI",
"IIIIIIZIIIZII",
"IIIIIZIIIIIZI",
"IIIIIZIIIIZII",
"ZIIIZIIIIIIII",
"IIIIZIIIIIZII",
"IIIIZZIIIIIII",
"IIIZIIIIIIIZI",
"IIIZIIIIIIZII",
"IIIZZIIIIIIII",
"IIIIIZIIIIIIZ",
"IIIIZIIIIIIIZ",
"IZIIIIIIIIIZI",
"IZIIIIIIIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0... | 0.975206 | [
-0.57331046650689,
-1.1164540883316347,
0.7986052623190395,
1.2384133317849102,
1.675389488229226,
0.0328230529795073,
0.6196941479223702,
1.6203834564472466,
-0.09633022571352838,
1.1708223706797607,
1.2655012450175862,
1.5632391862317048,
1.5587764173462777,
-0.018328156298662107,
0.03... | {
"n_parameters": 51,
"n_qubits": 13,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 52 |
da6f888553e0928bf84cb7c24eceee80 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 3, "source": 2, ... | {"states": [190, 63], "expectation_value": -7.184502088555178, "params": null, "bitstrings": ["01000001", "11000000"], "total_optimization_steps": 56, "probabilities": [0.06538550728154405, 0.9345603366229585], "optimization_time": 65.64430475234985} | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(4)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -1.75 * Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["10000000", "11000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5177659963294788) q[0];
h q[1];
ry(-1.623404303532015) q[1];
h q[2];
ry(0.8202589649851039) q[2];
h q[3];
ry(0.7033685518814555) q[3];
h q[4];
ry(1.4889805032669121) q[4];
cx q[4], q[2];
ry(-0.8202589649851039) q[2];
cx q[4], q[2];
h q[5];
ry(0.84460063831... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[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... | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIZZI",
"IIIZIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIZIIII",
"ZIIIZIII",
"IZZIIIII",
"IZIIIIZI",
"IZIZIIII",
"IZIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-0.25,
-0.75,
-0.5,
-0.75,
0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-1,
-0.75,
1,
-0.25,
-1.75,
1,
1.5,
-1.25,
-0.5,
0.25
] | 0.981536 | [
-1.623404303532015,
1.4889805032669121,
1.6405179299702077,
1.6168070806158488,
1.6892012766269737,
-1.0355319926589577,
1.0456182257691826,
1.406737103762911,
-0.7251973209355899,
0.22124766737700627,
-0.30348133941167,
0.18132166678998246,
-0.02893660445447417,
-0.06715041824588869,
0.... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 1 |
668f90355fba57bcb4fb60386433c90f | 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": 10, "source": 0, "... | {"states": [106, 107], "expectation_value": -26.952698639577534, "params": null, "bitstrings": ["10010101", "10010100"], "total_optimization_steps": 100, "probabilities": [0.062152393794066674, 0.2689894451535224], "optimization_time": 164.00658249855042} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 5.0 * Z(0) + 7.5 * Z(1) + 14.0 * Z(2) + 13.0 * Z(4) + 2.0 * Z(3) + 13.5 * Z(6) + 4.5 * Z(5) + 13.0 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 117.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.03151214468051604) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(-0.03151214468051604) q[2];
cx q[0], q[2];
rz(-1.5704264103695476) q[0];
rx(-1.5760082004320597) q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.03151214468051604) q[4];
cx... | 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(22.4081) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIZII",
"IIIIZZII",
"IIIZZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5,
7.5,
14,
13,
2,
13.5,
4.5,
13
] | 0.924291 | [
-0.03151214468051604,
-1.5704264103695473,
1.5705991780520145,
1.5706765641735296,
1.5707989169663568,
-1.57058498502492,
1.5712808281552364,
-1.5760082004320595
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 204 |
-3881810637629690081 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 10], [1, 3], [1, 2], [2, 4], [11, 5], [0, 6], [3, 7], [8, 6], [9, 2], [9, 12]]} | {"states": [6458, 5777], "expectation_value": -0.03511814740379682, "params": [[0.047], [-0.0376]], "bitstrings": ["0011011000101", "0100101101110"], "total_optimization_steps": 10, "probabilities": [0.00013088132805046538, 0.00013088132805046538], "optimization_time": 33.473092794418335} | 0.5 * (Z(0) @ Z(10)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(12) @ Z(9)) + 0.0 * Z(10) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 *... | 4 | 13 | 1 | {"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": ["1100110111000", "1100100111010", "0100101101110", "0100111101100", "1011010010001", "1011000010011", "0011011000101", "0011001000111"], "largest_eigenval... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(0.9181167959772564) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(0.9181167959772564) q[2];
cx q[1], q[2];
rz(1.3754854144565343e-08) q[1];
rx(-pi/4) q[1];
h q[4];
cx q[2], q[4];
rz(0.9181167959772564) q[4];
cx q[2], q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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];
h q[12];
cx q[10], q[0];
rz(x0) q[0];
cx q[10], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIIIZ",
"IIIIIIIIIZIZI",
"IIIIIIIIIIZZI",
"IIIIIIIIZIZII",
"IZIIIIIZIIIII",
"IIIIIIZIIIIIZ",
"IIIIIZIIIZIII",
"IIIIZIZIIIIII",
"IIIZIIIIIIZII",
"ZIIZIIIIIIIII",
"IIZIIIIIIIIII",
"IIIIIIIIIIIIZ",
"IIIIIIIIIZIII",
"IIIIIIIIIIIZI",
"IIIIIIIIIIZII",
"IIIIIIIIZIIII",
"IIIIIIIZIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.563259 | [
0.9181167959772564,
1.3754853639531522e-8,
-0.7853981641328378
] | {
"n_parameters": 3,
"n_qubits": 13,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 97 |
c4fd4922d2c165ab37a0955c733d543f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 20, "source": 1, "target": 5}, {"weight": 5, "source": 2, "target": 3}, {"... | {"states": [121, 109], "expectation_value": -11.754848456288904, "params": [[-0.036500000000000005], [0.08020000000000001]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.0076147303513958335, 0.0077863508626663], "optimization_time": 1.77642822265625} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 16.5 * Z(1) + 3.0 * Z(0) + 18.0 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 141.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.029810180010720243) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.029810180010720243) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.029810180010720243) q[2];
cx q[0], q[2];
rz(-0.06686179152681927) q[0];
rx(1.6059265917078847e-08) 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;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
16.5,
3,
18,
12.5,
2.5,
9.5,
12.5,
15
] | 0.923664 | [
-0.029810180010720243,
0.7336274290211755,
-0.06686179152681929,
0.16955226673052048,
1.2441031931681117,
-0.7612827673018912,
0.853920074668443,
2.7115183994821614,
1.6059262359189638e-8,
0.029810161797917772,
0.837168872182548,
-1.5039345290864283,
1.4012440334331926,
0.32669311339272855... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 418 |
39d9cef8eeeccec495b03c2d0bc1fdcf | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 9}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [99, 115], "expectation_value": -4.536881183649891, "params": [0.17650000000000002, 0.4703, 0.1715, 0.00030000000000000003, -0.010100000000000001, 0.49450000000000005, -0.0135, 0.0028, 0.2907, 0.5092, 0.25720000000000004, 0.0079, 0.8094, 0.31970000000000004, 0.8052, 0.004200000000000001, 0.8101, -0.0023, 0.8... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) ... | 7 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1110001100", "1101001100"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.12079119197357802) q[0];
rz(0.362101946795681) q[0];
rx(-0.054532240819920114) q[1];
rz(0.3334062411560796) q[1];
cx q[1], q[0];
rz(-0.12987093790208654) q[0];
cx q[1], q[0];
rx(-0.16066996745532272) q[0];
rz(0.1476300138374862) q[0];
rx(0.1691438612428211) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIZIIIIZ",
"ZIIIIIIIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IZIIIIIIZI",
"IIIZIIIZII",
"IZIZIIIIII",
"IIZIZIIIII",
"ZIZIIIIIII",
"IIZIIIIZII",
"IZZIIIIIII",
"IIIZIZIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIZIIIII",
"ZIIIIIIIII",
"IIIIIIIZII",
"IIIIIIZIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-0.5,
-1.5,
-0.5,
-1,
-1,
-1.5,
0
] | 0.975327 | [
0.12079119197357802,
0.23223100889359471,
-0.054532240819920114,
0.3334062411560796,
-0.024393011407399467,
0.35986114144746256,
0.9532731285207606,
0.014753369240474268,
2.0316183013458384,
0.09659306744550676,
1.3692957227567069,
-0.11210038405084988,
0.11161045824920621,
-0.122049596378... | {
"n_parameters": 47,
"n_qubits": 10,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 18 |
0ad68e324bb62e8ca77b23fb984092cf | 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": [946, 434], "expectation_value": -92.49466075504134, "params": [0.7682, -0.3592, 1.4049, -0.0207, 1.397, 0.2811, 0.3342, 0.8053, 1.3997000000000002, 0.001, 1.3954, 0.3426, -0.020200000000000003, 0.7876000000000001, -0.018600000000000002, -0.6899000000000001, 1.4018000000000002, 0.28390000000000004, 0.3342, 0... | 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(9) @ Z(2)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(9)) + 15.0 * Z(0) + 16.0 * Z(2) + 13.0 * Z(1) + 1.5 * Z(3) + 8... | 18 | 10 | 2 | {"smallest_eigenvalues": [-113.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.5, "smallest_bitstrings": ["1001001101"], "largest_eigenvalue": 169.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.04315133173745609) q[0];
rz(-1.0445132376800466) q[0];
rx(1.6509227304493321) q[1];
rz(0.07346810366353422) q[1];
rx(1.5311858845309114) q[2];
rz(0.18215986301561096) q[2];
rx(-0.16821235660041609) q[3];
rz(1.1457025163526366) q[3];
rx(1.3695806047948784) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIZIIIIZ",
"IIIZZIIIII",
"IIZIIZIIII",
"ZIIIIIIZII",
"IZIIIIIIIZ",
"IZIIZIIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
15,
16,
13,
1.5,
8.5,
17,
-2,
-2,
1.5,
17
] | 0.977535 | [
-0.04315133173745608,
-0.7801367354220892,
1.6509227304493321,
0.07346810366353422,
1.5311858845309114,
0.18215986301561096,
-0.16821235660041609,
1.1457025163526366,
1.3695806047948784,
-0.02323459096106313,
1.7146238326203207,
0.20861215003423286,
-0.08842510316159569,
1.0995916157280585... | {
"n_parameters": 58,
"n_qubits": 10,
"optimal_eigenvalue": -113.5,
"target_ratio": 0.97,
"target_value": -110.095
} | 11 |
aaa0b19e64bf3c35281517d1fd2e9593 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [39, 23], "expectation_value": -3.499144858283829, "params": null, "bitstrings": ["011000", "101000"], "total_optimization_steps": 28, "probabilities": [0.06552908063150316, 0.9338662614330172], "optimization_time": 20.86616039276123} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011000", "101000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3082490255491387) q[0];
cx q[1], q[0];
rz(-0.4813792428916286) q[0];
rx(-0.0708269652138156) q[0];
h q[2];
cx q[1], q[2];
rz(0.3082490255491387) q[2];
cx q[1], q[2];
rz(0.38370389231516544) q[1];
rx(-0.07082696521381568) q[1];
cx q[1]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
0,
0,
0
] | 0.977854 | [
0.3082490255491387,
0.3837038923151648,
-0.48137924289163025,
0.26332802912302594,
-0.07082696521381564,
-0.3050505286502088,
0.5806483285648956,
0.6562418208675107,
0.7543675324261974,
-0.03625229813212085,
0.44867521434950836,
0.9051415988683418,
0.9758359490263386
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 18 |
b8aaab24da0004c3e40ded7e0da30763 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [5, 1], "expectation_value": -9.49998088741361, "params": null, "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 18, "probabilities": [1.2623551093771558e-05, 0.9999867275426021], "optimization_time": 17.550370693206787} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.04755975372679777) q[0];
rz(-pi) q[1];
ry(-0.16357168903548214) q[1];
rz(-pi) q[2];
ry(-0.16357168903548214) q[2];
h q[3];
ry(-1.6848675864644589) q[3];
ry(-0.05392656744408793) q[4];
rz(-pi) q[4];
ry(-0.08761228669430021) q[5];
rz(-pi) q[5];
h q[6];... | 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[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIIZ",
"IZIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
2.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
2
] | 0.995678 | [
1.5124481082497874,
-1.6848675864644589,
-1.7984235144880873,
-1.5128877401597436,
-1.43889529306715,
-0.15594893256731784,
0.05940740011829414,
0.13302301188552904,
0.12811099731541742
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
63068c7e8d47b6487976b427c799ef4e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"s... | {"states": [127, 3967], "expectation_value": -11.984877902787586, "params": [0.0021000000000000003, 0.5535, -1.0068000000000001, 0.004, 0.0015, -0.5949, -1.3576000000000001, 0.0007, -1.3949, -0.0018000000000000002, 0.46740000000000004, 1.1049, 0.0358, -0.0024000000000000002, -0.7737, -0.0023, -2.5993, 0.002600000000000... | -1.5 * (Z(0) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + -1.5 * (Z(11) @ Z(12)) + -1.5 * (Z(1) @ Z(12)) + 0.5 * (Z(1) @ Z(11)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + 1.0 * Z(5) + -1.0 * Z(0) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8) +... | 4 | 13 | 1 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["0000000000000", "1000010000000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.051584157757131696) q[0];
rz(3.102737676609328) q[0];
rx(-0.7579155950971654) q[1];
rz(1.6841370353135225) q[1];
rx(0.0766340768019848) q[2];
rz(0.7962247516402323) q[2];
rx(-1.4377802980095264) q[3];
rz(1.547514955820489) q[3];
rx(-2.9749849907342303) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIIZ",
"IIIIIZZIIIIII",
"IIIIZZIIIIIII",
"IIIIZIZIIIIII",
"IIZZIIIIIIIII",
"ZZIIIIIIIIIII",
"ZIIIIIIIIIIZI",
"IZIIIIIIIIIZI",
"IIIIIIIIIZZII",
"IIIIIIIIZZIII",
"IIIIIIIIZIZII",
"IIIIIIIZIIIII",
"IIIIIIIIIIIIZ",
"IIIIIZIIIIIII",
"IIIIIIZIIIIII",
"IIIIZIIIIIIII",
"IIZIIIIIIII... | [
-1.5,
-1.5,
-1.5,
0.5,
-1,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-1.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.973954 | [
0.0515841577571317,
1.5319413498144319,
-0.7579155950971654,
0.1133407085186246,
0.07663407680198478,
-0.774571575154664,
-1.4377802980095264,
-0.023281370974408383,
-2.9749849907342303,
0.005646093977121069,
0.24659024736032958,
0.7973055084094667,
-0.08711362177557225,
-0.292238769944971... | {
"n_parameters": 34,
"n_qubits": 13,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 18 |
209492d0ebde0c4941c69f20876abb8e | matching | qaoa | {"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}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [342, 218], "expectation_value": -14.345564569368534, "params": [[-0.0292], [0.081]], "bitstrings": ["010101001", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0038591832714408025, 0.004396748779924603], "optimization_time": 1.9185888767242432} | 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(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(0)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.6129533872423376) q[0];
rz(-pi) q[0];
ry(-2.7133984904150865) q[1];
rz(-pi) q[1];
ry(-1.1246832916142324) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.06990389825150062) q[3];
ry(-2.492509573069741) q[4];
rz(-pi) q[4];
rz(-pi) q[5];
ry(-2.5261241041441176) q[5];
h q[6];
ry(3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"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,
14,
12,
17.5,
19.5,
3,
16.5,
8.5,
17.5,
-2.5
] | 0.975696 | [
10.121101282315646,
-12.319882261664342,
16.707062439924574,
-0.04620449146954514,
5.408766694090489,
39.2881569578351,
2.200931497780031,
1.3504497871600263,
-12.3896475105252,
11.461956828246157,
-21.13442863499262,
-11.125335305707027,
17.15160517466839,
-4.001693389476348,
3.76601143... | {
"n_parameters": 79,
"n_qubits": 9,
"optimal_eigenvalue": -86.5,
"target_ratio": 0.97,
"target_value": -83.905
} | 72 |
6946fbda84d92871847bf53596399897 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [17, 1], "expectation_value": -1.778676790472518, "params": [[0.0784, 0.0758], [-0.0771, -0.06760000000000001]], "bitstrings": ["101110", "111110"], "total_optimization_steps": 10, "probabilities": [0.033262586057659214, 0.033808917927135196], "optimization_time": 2.8060059547424316} | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + 3.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.25 * Z(1) + -0.5 * Z(2) + 2.75 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["111110", "101110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.551286213379778) q[0];
ry(0.14995386152144122) q[0];
rz(-1.157952155487887) q[0];
rz(1.7949694323876582) q[1];
ry(0.8600732688310629) q[1];
rz(-1.5619298147562424) q[1];
rz(-1.494414036029636) q[2];
ry(0.25948250070177714) q[2];
rz(2.109430114529392) q[2];
rz(-1.99... | OPENQASM 3.0;
include "stdgates.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": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IIZZII",
"IZIZII",
"ZIIIIZ",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.25,
-1.5,
-0.25,
-0.25,
-0.5,
3,
-0.25,
-1.25,
-0.25,
-1,
0.25,
-0.5,
2.75
] | 0.983075 | [
0.05760476468977301,
0.19533053854689783,
0.2935220690165271,
0.21247908078017866,
-0.33585903240393633,
0.2959684062839665,
-0.34014046378460583,
0.13274283234330986,
-0.10404306296453697,
0.20649247381463964,
0.9880477207375283,
-0.024097524940315328,
0.1102325674469585,
0.19708286430355... | {
"n_parameters": 43,
"n_qubits": 6,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 8 |
abc01bbbec8df6018b1ccc06153a1aa6 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [249, 253], "expectation_value": -0.791324978647205, "params": [0.4585, 0.2876, 0.2647, 0.26530000000000004, 0.28390000000000004, 0.2801, 0.49610000000000004, 0.4934, 0.4985, 0.4944, 0.4978, 0.5007, 0.5049, 0.4984, 0.4973, 0.5055000000000001, 0.43770000000000003, 0.4106, 0.2551, 0.2575, 0.5073, 0.5023, 0.281... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(2) @ Z(6)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(5) @ Z(3)) + 0.... | 14 | 11 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.375, "smallest_bitstrings": ["01100001010", "01100100010", "11100000010", "010101000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(3.598901742831302) q[0];
rz(-0.19263656034004958) q[0];
rx(2.950115267943038) q[1];
rz(0.0170986077338334) q[1];
rx(-0.046405501093949586) q[2];
rz(-0.955121490693832) q[2];
rx(-0.32068271452814484) q[3];
rz(0.4677788598621341) q[3];
rx(3.1183563014158926) 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIZZZII",
"IIIIIZIIZII",
"IIIIZIIIZII",
"IIIIZZIIIII",
"IIIIZZIIZII",
"IIIIIIIZIIZ",
"IIIIIZIIIIZ",
"IIIZIIIIIIZ",
"IIIIIZIZIII",
"IIIZIIIZIII",
"IIIZIZIIIII",
"IIIIIZIZIIZ",
"IIIZIIIZIIZ",
"IIIZIZIIIIZ",
"IIIZIZIZI... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.1... | 0.971291 | [
3.598901742831302,
-0.19263656034004958,
2.950115267943038,
0.0170986077338334,
-0.046405501093949586,
-0.955121490693832,
-0.32068271452814484,
0.4677788598621341,
3.1183563014158926,
-0.8253293038746815,
0.0715799366508601,
1.0425074626093955,
0.08335242011839639,
-0.5831628395383125
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 20 |
-8480892412568612317 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3], [1, 2], [0, 3], [3, 4], [0, 5]]} | {"states": [21, 42], "expectation_value": -0.05487581612644267, "params": [[0.0719], [-0.07780000000000001]], "bitstrings": ["101010", "010101"], "total_optimization_steps": 10, "probabilities": [0.017386712599654422, 0.017386712599654422], "optimization_time": 1.2006630897521973} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101010", "010101"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.8563570563541485) q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(0.8563570563541485) q[1];
cx q[2], q[1];
rz(3.1684530554798584e-09) q[1];
rx(-0.7853981805581317) q[1];
rz(3.1684530554798584e-09) q[2];
rx(-0.7853981805581317) ... | 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[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IIZZII",
"IIIZZI",
"IIZIIZ",
"IZZIII",
"ZIIIIZ",
"IIZIII",
"IIIZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.521919 | [
0.8563570563541485,
3.168453226574371e-9,
-0.7853981805581316
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 86 |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 85.67528486251831} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
a7fba5c7fdc2a0492603f740d30b0e3e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [24, 30], "expectation_value": -4.999934073503016, "params": null, "bitstrings": ["100111", "100001"], "total_optimization_steps": 27, "probabilities": [1.383379202653001e-05, 0.9999481835511215], "optimization_time": 18.23257803916931} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) + -1.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0038456229068963193) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.0038456229068963193) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0038456229068963193) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.0038456229068963193) q[0];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-0.5,
-0.5,
0,
-1.5
] | 0.970195 | [
0.0038456229068963193,
0.03152788476359816,
0.5843677711496659,
0.07011294895722706,
-0.10747817429227481,
-1.040178437004815,
1.0646619051284048,
-1.0354563116757038,
0.017329488661321276,
0.04182312572303404,
1.035489171615615,
0.18311382064276116,
-0.27304283047034755,
-1.02584056551815... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -2.6875,
"target_ratio": 0.97,
"target_value": -2.606875
} | 194 |
-5878809023929893674 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 3], [1, 9], [8, 3, 4], [1, 12, 7], [2, 12, 6], [0, 1, 6], [11, 2, 3], [10, 4], [9, 7], [9, 12, 4], [0, 12, 6], [10, 5], [8, 4, 7], [3, 7], [0, 9, 11], [2, 4], [11, 6], [0, 5], [0, 10, 11], [3, 5, 6], [0, 9, 4], [9, 10], [8, 11], [2, 12, 7], [10, 3... | {"states": [7284, 971], "expectation_value": -2.5430780889326803, "params": [[0.2384], [-0.228]], "bitstrings": ["0001110001011", "1110000110100"], "total_optimization_steps": 30, "probabilities": [0.0010680617477434845, 0.0011252257245339934], "optimization_time": 43.63016748428345} | 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(9)) + 0.3333333333333333 * (Z(4) @... | 1 | 13 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666668, "smallest_bitstrings": ["1110000110100"], "largest_eigenvalue": 24.00000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.5175428292396239) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(-0.05779212117548567) q[1];
cx q[0], q[1];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[8];
rz(-0.05779212117548567) q[8];
cx q[3], q[8];
cx q[3], q[4];
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;
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": []} | [
"IIIIIIIIIZIIZ",
"IIIIIIIIIIIZZ",
"IIIZIIIIIIIIZ",
"IIIZIIIIIIIZI",
"IIIIZIIIIZIII",
"IIIZZIIIIIIII",
"IIIIIIIIZZIII",
"IIIIIIIIZIIIZ",
"IIIZIIIIZIIII",
"IIIIZIIIZIIII",
"ZIIIIIIIIIIIZ",
"ZIIIIIIIIIIZI",
"ZIIZIIIIIIIII",
"ZIIIIIIIZIIII",
"IIIIIZIIIZIII",
"IIIIIZIIIIIIZ",
"IIIIIZIIIII... | [
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.1666666666666... | 0.433154 | [
0.5175428292396239,
-0.05779212117548567,
0.18439293566649384,
0.34631865883928603,
-0.1738910788495897,
0.8236485365747928,
0.8272490089020823,
-0.830166107711886
] | {
"n_parameters": 8,
"n_qubits": 13,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 204 |
5430902418863047479 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 4, 6], [0, 9, 2, 7], [4, 7], [2, 10], [8, 9, 10], [0, 3], [8, 3, 5, 7], [0, 10, 5, 7], [8, 3, 4, 6], [10, 4], [2, 5], [6, 7], [8, 3, 5, 6], [0, 9, 10], [8, 4, 5], [8, 9, 2, 6], [1, 3, 6], [9, 3], [10, 3, 7]]} | {"states": [1597, 1599], "expectation_value": -3.3229027924871946, "params": [1.3932, 1.3994, 0.4567, 1.3866, 0.3486, 0.3133, 0.3815, 0.44060000000000005, 0.36610000000000004, 0.34700000000000003, 1.3938000000000001, 1.4001000000000001, 1.3940000000000001, 1.3955, 0.9754, 0.6804, 1.3921000000000001, 1.3907, 1.1775, 0.9... | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(9) @ Z(2)) + 0.25 * (Z(9) @ Z(0)) + 0.08333333333333333 * (Z(9) @ Z... | 14 | 11 | 1 | {"smallest_eigenvalues": [-4.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.583333333333333, "smallest_bitstrings": ["00111000000"], "largest_eigenvalue": 15.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5448777326420067) q[0];
rz(pi/2) q[0];
ry(0.8237578148429822) q[1];
ry(0.12289989110430247) q[2];
ry(0.10111897579463751) q[3];
ry(0.14792794981608898) q[4];
ry(1.5881014833500207) q[5];
ry(1.26404306437959) q[6];
ry(1.620479603681626) q[7];
ry(1.7880414978913715)... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIIIZIZ",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIZIIIZII",
"IIIIZIIIIIZ",
"IIIIZIZIIII",
"IZIIIIIIZII",
"IZIIIIIIIIZ",
"IZIIZIIIIII",
"IIIZIIIIZII",
"IIIZIIIIIIZ",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IZIZIIIIIII",
"ZIIIIIIIZII",
"ZIIIIIIIIIZ",
"ZIIIIIZIIII",
"ZZIIIIIIIII",
"ZIIZIIIII... | [
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.5,
0.5,
0.08333333333333333,
0.5,
0.25,
0.5,
0.3333333333333333,... | 0.972125 | [
1.5448777326420067,
0.8237578148429822,
0.12289989110430247,
0.10111897579463751,
0.14792794981608898,
1.5881014833500207,
1.26404306437959,
1.620479603681626,
1.7880414978913715,
1.7551420928805168,
1.4195796683351414,
0.8581027605957057,
0.7962518618519145,
-0.12693766480625385,
0.5811... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -4.833333333333333,
"target_ratio": 0.97,
"target_value": -4.688333333333333
} | 45 |
4d9e1d8b3b11f3e10faaac0ed524e33d | 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": 10, "source": 0, "... | {"states": [109, 93], "expectation_value": -22.433699831140167, "params": [[0.029, 0.007200000000000001, -0.0125], [-0.0738, -0.0688, -0.0494]], "bitstrings": ["10010010", "10100010"], "total_optimization_steps": 10, "probabilities": [0.01272109008389809, 0.01589364059839817], "optimization_time": 11.837775945663452} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 8.5 * Z(1) + 5.0 * Z(0) + 1.0 * Z(2) + 7.0 * Z(3) + 15.0... | 1 | 8 | 3 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 136.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.49710833537202326) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[2], q[3];
rz(0.49710833537202326) q[3];
cx q[2], q[3];
h q[4];
cx q[0], q[4];
rz(0.49710833537202326) q[4];
cx q[0], q[4];
rz(0.2859845262712062) q[0];
rx(0.0922391943192818... | OPENQASM 3.0;
include "stdgates.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",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
8.5,
5,
1,
7,
15,
17.5,
10,
18
] | 0.973947 | [
0.49710833537202326,
-0.3760639293481951,
0.28598452627120563,
1.3867023165254786,
0.2916058414816963,
-0.06720660283623982,
0.48195509895637456,
2.0872831470694853,
0.3366537099240001,
0.09223919431928188,
-0.5055215626026368,
-0.9985022341590077,
1.3312104790628148,
0.45998907255248556,
... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 54 |
59c7593c47cfd4ca2ab0ec4e9d99b357 | 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": 4, "source": 0, "target": 6}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [0, 127], "expectation_value": -3.6403537581834526, "params": [[-0.06770000000000001, -0.042800000000000005], [0.0792, 0.07050000000000001]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.013097237919046816, 0.013690944102099705], "optimization_time": 4.205956459... | -1.0 * (Z(0) @ Z(6)) + -1.0 * (Z(7) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(1) @ Z(7)) + -2.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -2.75 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.02620253547107228) q[0];
ry(-0.046454609884771736) q[1];
ry(0.13813538501529748) q[2];
ry(0.07593442227315245) q[3];
ry(-0.06482190271250693) q[4];
ry(-0.20367417839896976) q[5];
ry(-0.05949869706339718) q[6];
ry(2.1939800684657462) q[7];
cx q[7], 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IZIIIIIZ",
"ZZIIIIII",
"ZIIIIIIZ",
"IZIIIIZI",
"ZIIIIIZI",
"IZIZIIII",
"IIIZIIZI",
"IZIIIZII",
"IIIIIZZI",
"IIIZIZII",
"IZIIZIII",
"ZIIIZIII",
"IIIIZIZI",
"IIIZZIII",
"IIIIZZII",
"IZZIIIII",
"IIZIIZII",
"IIZIZIII",
"IZIIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIII... | [
-1,
-1,
1.25,
-1.25,
-1.5,
-2,
-1.5,
-0.5,
-0.5,
-2.75,
-1.75,
-1.25,
-1,
-0.25,
-1.5,
-0.75,
-0.25,
-1.5,
2.25,
-0.25,
-2.5,
0.25,
-2.5,
1,
0.75,
1
] | 0.97191 | [
-0.02620253547107228,
-0.046454609884771736,
0.13813538501529748,
0.07593442227315245,
-0.06482190271250693,
-0.20367417839896976,
-0.05949869706339718,
2.1939800684657462,
-0.12204536131059038,
0.030467583248756303,
-0.01728564726399001,
0.01041494868003607,
-0.03776129506921314,
-0.10559... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 47 |
7156872953976631337 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2], [6, 7], [10, 7], [2, 4], [0, 1, 4, 6], [8, 9, 5, 1], [8, 3, 5, 6], [1, 2, 5, 6], [9, 6]]} | {"states": [1653, 1141], "expectation_value": -3.271855746217246, "params": [1.9700000000000002, 0.3, 1.1706, 0.0027, 1.175, 0.9117000000000001, 0.7768, 0.0039000000000000003, -0.0013000000000000002, -0.9479000000000001, -0.0017000000000000001, 0.0037, 0.5504, -0.602, 0.4757, 0.0047, 1.9612, 0.3003, 1.1815, 0.007200000... | 0.5 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.1... | 5 | 11 | 1 | {"smallest_eigenvalues": [-3.3333333333333344], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["01110001010"], "largest_eigenvalue": 6.499999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.993804867182837) q[0];
rz(0.18389583385129882) q[0];
rx(1.018476525312991) q[1];
rz(0.935672119673213) q[1];
rx(-0.0030078015279305227) q[2];
rz(-1.4203905764463443) q[2];
rx(0.6018995196346894) q[3];
rz(-0.6827080584939034) q[3];
rx(1.841778492484525) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIZIIIZII",
"IIIIZIIIIIZ",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIZIZIIII",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIZIIIIZI",
"IIIIIIZIIZI",
"IIZIZIIIIII",
"IIZIIIIIIZI",
"IZIIZIIIIII",
"IZIIIIIIIZI",
"IZZIIIIIIII",
"IIIIIZIIZII",
"IIIIZZIII... | [
0.5,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.083... | 0.971332 | [
1.9938048671828372,
0.1733644092482579,
1.018476525312991,
0.8218237017832277,
-0.003007801527930523,
-1.1310991806275414,
0.6018995196346895,
-0.49833271538089535,
1.8417784924845249,
0.45102263381619556,
1.8545209163345948,
0.2496795995554836,
1.6078168461638458,
0.3379244762276121,
-0... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -3.3333333333333344,
"target_ratio": 0.97,
"target_value": -3.2333333333333343
} | 12 |
-367811824994540458 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 5, 6, 7, 8], [0, 1, 2, 3, 5, 7, 8], [4, 6], [3, 5, 6], [1, 2, 3, 6, 7, 8], [8, 0, 2, 4], [2, 3, 4, 5, 7], [8, 2, 4, 5]]} | {"states": [315, 443], "expectation_value": -1.2414472688160951, "params": [1.0916000000000001, -0.0002, 1.0926, 0.0067, 1.093, 0.0006000000000000001, 1.0882, 0.0076, 1.0745, -0.0018000000000000002, 1.0356, 0.006, 1.0952, -0.0031000000000000003, 1.0942, 0.004, 1.1006, -0.0005, 1.0935000000000001, 0.0085, 1.0979, -0.004... | 0.047619047619047616 * (Z(0) @ Z(1)) + 0.08095238095238094 * (Z(2) @ Z(1)) + 0.13095238095238093 * (Z(2) @ Z(0)) + 0.047619047619047616 * (Z(5) @ Z(1)) + 0.047619047619047616 * (Z(5) @ Z(0)) + 0.18095238095238095 * (Z(5) @ Z(2)) + 0.05714285714285714 * (Z(6) @ Z(1)) + 0.023809523809523808 * (Z(6) @ Z(0)) + 0.0571428571... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.066666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.066666666666666, "smallest_bitstrings": ["001000100"], "largest_eigenvalue": 7.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.5322084614107276) q[0];
rz(1.5132456174189208) q[0];
rx(2.5025747196812143) q[1];
rz(2.1941730718034798) q[1];
rx(0.7002231054755285) q[2];
rz(1.2476415942599015) q[2];
rx(1.6142344741053853) q[3];
rz(1.6114160450058428) q[3];
rx(2.084181705560795) q[4];
rz(1.57804... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"... | [
0.047619047619047616,
0.08095238095238094,
0.13095238095238093,
0.047619047619047616,
0.047619047619047616,
0.18095238095238095,
0.05714285714285714,
0.023809523809523808,
0.05714285714285714,
0.19047619047619047,
0.08095238095238094,
0.047619047619047616,
0.13095238095238093,
0.0976190476... | 0.973329 | [
1.5322084614107276,
-0.057550709375975506,
2.5025747196812143,
0.6233767450085831,
0.7002231054755285,
-0.32315473253499527,
1.6142344741053853,
0.04061971821094663,
2.084181705560795,
0.0072506677694485905,
1.4395556998271646,
0.1727907777540548,
0.2956129135886388,
-0.06095511530227124,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -2.066666666666667,
"target_ratio": 0.97,
"target_value": -2.0046666666666666
} | 81 |
e29bfda33a1d7f43206bf01d0ef0c119 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "... | {"states": [120, 4088], "expectation_value": -20.650168244266524, "params": [[[-0.0028, 0.006], [-0.0025, 0.0058000000000000005], [-0.0027, 0.0034000000000000002], [0.0029000000000000002, 0.0036000000000000003], [1.4806000000000001, 0.0088], [0.0017000000000000001, 0.005200000000000001], [-0.0022, 0.0018000000000000002... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(8)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 ... | 2 | 12 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.0, "smallest_bitstrings": ["000000000111"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6760414157611511) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.6760414157611511) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.12342633440920707) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.6760414157611511) 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[... | {"node": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIII... | [
-2.5,
-2.5,
0.5,
-2.5,
0.5,
-1.5,
-2.5,
0.5,
0.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1
] | 0.550153 | [
-0.6760414157611511,
-0.12342633440920707,
-1.1321214278680807,
-0.7007872687284011,
-1.268838784335187,
-0.21287944484350652,
-0.9787581622068204
] | {
"n_parameters": 7,
"n_qubits": 12,
"optimal_eigenvalue": -25,
"target_ratio": 0.97,
"target_value": -24.25
} | 192 |
c31960310eb284d493a369e45529e3bd | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 3}, {"weight": 16, "source": 1, "tar... | {"states": [241, 236], "expectation_value": -12.732395109879885, "params": [[0.0443], [-0.0784]], "bitstrings": ["100001110", "100010011"], "total_optimization_steps": 10, "probabilities": [0.004476004192883366, 0.004860559581969099], "optimization_time": 1.9684059619903564} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 16.5 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 172.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.667260209605278e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.667260209605278e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.667260209605278e-08) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-1.667260209605278e-08) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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],... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIZIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16.5,
7,
17.5,
12.5,
12.5,
17.5,
10.5,
9.5,
-6
] | 0.859873 | [
-1.667260209605278e-8,
1.5707964046189828,
-1.5707962989502005,
1.5707963666512932,
1.570796331640382,
1.5707964093486493,
-1.5707963413629793,
-1.570796379010887,
-1.570796324325231
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 247 |
77760a3072423fe2d8d9fc0c2352593a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target":... | {"states": [257, 256], "expectation_value": -12.088975281054887, "params": [-0.0024000000000000002, 0.2058, -0.006, 0.1302, -0.0007, 0.23670000000000002, -0.0034000000000000002, 0.23320000000000002, 0.30360000000000004, -0.0005, 0.3044, -0.0001, -0.0022, 0.2353, -0.0047, 0.232, 0.0001, 0.21730000000000002, -0.003400000... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(7)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(1)) + -1.25 * (Z(9) @ Z(3)) + -0.25 * (Z(9) @ Z(7)) + -0.5 * (Z(9) @ Z(1)) + -1.25 * (Z(6... | 6 | 11 | 3 | {"smallest_eigenvalues": [-13.0, -13.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.0, "smallest_bitstrings": ["11011111111", "11011111110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.040657721984395635) q[0];
rz(1.7277258864457519) q[0];
rx(-0.08779567618782678) q[1];
rz(1.8414089382202263) q[1];
rx(0.25247417154058766) q[2];
rz(1.7232269930067226) q[2];
rx(-0.03182187937532985) q[3];
rz(2.042477570096448) q[3];
rx(0.08709208877683217) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIIZIIIZIII",
"IIIZIIIIIIZ",
"IIIIIIIZIZI",
"IIIIIZIIIZI",
"IIIZIIIIIZI",
"IIIIIIZZIII",
"IIIIIIZIIZI",
"IZIIIIIZIII",
"IZIZIIIIIII",
"IZIIIIIIIZI",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IZIIZIIIIII",
"IIIIIIIIZIZ",
"IIIZIIIIZII",
"IIIIZIIIZ... | [
-0.25,
-0.5,
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.25,
-1.25,
-0.25,
-0.5,
-1.25,
-0.25,
-0.5,
1.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.75,
-1,
-0.25,
-0.25,
1.5,
-1.75,
-0.5,
0,
0,
0.75,
0.5,
1
] | 0.976331 | [
0.04065772198439564,
0.15692955965085553,
-0.08779567618782678,
0.2706126114253305,
0.25247417154058766,
0.1524306662118256,
-0.03182187937532985,
0.4716812433015519,
0.08709208877683217,
0.1279014167531838,
0.10446160848531559,
0.07606543529837743,
-0.02224504337845347,
0.2201308232281087... | {
"n_parameters": 132,
"n_qubits": 11,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 37 |
4ed726aae078bfe2f9a3821bb086f453 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [96, 97], "expectation_value": -4.621699601751906, "params": [-0.0154, 0.34690000000000004, -0.0112, 0.0038, 0.7989, 0.194, 0.8028000000000001, 0.009600000000000001, 0.8062, 0.039400000000000004, 0.8006000000000001, 0.0005, 0.6145, 0.45830000000000004, 0.6094, 0.0009000000000000001, 0.6182000000000001, -0.36... | 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(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * Z(1) ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.0, "smallest_bitstrings": ["11010110", "10011110", "11100110", "10101110", "01111001"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.37146763603596145) q[0];
rz(0.5299721774426902) q[0];
rx(1.4583062978440482) q[1];
rz(-0.7055502786160739) q[1];
rx(1.919487027153228) q[2];
rz(-0.08219375612962088) q[2];
rx(-0.41481617357051775) q[3];
rz(1.1582067898846908) q[3];
rx(-0.28685284094934693) 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",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1,
-1.5,
-1.5,
-1.5,
-1.5,
-0.5
] | 0.972247 | [
0.37146763603596133,
0.8070151551317238,
1.4583062978440482,
-0.7539055993461152,
1.9194870271532278,
-0.26269375874326806,
-0.41481617357051775,
0.6026068206183242,
-0.28685284094934693,
-0.2714228184086165,
0.21509644708644035,
-0.005429814298668956,
0.07309510278787287,
0.74423050424269... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 40 |
e17d4522d06c74511ede822588421ebb | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "... | {"states": [4063, 4095], "expectation_value": -14.402355794228374, "params": [0.2389, 0.6318, 0.07930000000000001, 0.0073, 1.2019, 0.42860000000000004, -0.9327000000000001, 0.0026000000000000003, 1.8036, 2.0695, 0.081, 0.009000000000000001, 1.8208000000000002, 2.6159000000000003, 0.07970000000000001, 0.0022, -1.7466000... | 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(0) @ Z(5)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + -2.0 * (Z(11) @ Z(2)) + 0.5 * (Z(3) @ Z(10)) ... | 6 | 12 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.8663273507398795) q[0];
rz(1.908799443080234) q[0];
rx(1.9718828217511726) q[1];
rz(2.2036176153936076) q[1];
rx(1.87288070004712) q[2];
rz(2.509370891709959) q[2];
rx(1.4513133912120508) q[3];
rz(2.897610793212891) q[3];
rx(0.444904239895732) q[4];
rz(2.05731073... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIZZIIIII",
"IIIIIIZIIIIZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIIIZIIIZ",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"IIZIZIIIIIII",
"IZIIIIIIIIZI",
"IIIIIIIIIZZI",
"IZIIIIIIIZII",
"ZZIIIIIIIIII",
"ZIIIIIIIIZII",
"IZIIIIIIZIII",
"IIIIIIIIZZII",
"ZIIIIIIIZIII",
"IIIIIIZIIIII",
"IIIIIZIII... | [
0.5,
-1.5,
-2,
-2,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
-1,
0.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.830661 | [
-0.8663273507398798,
0.3380031162853382,
1.9718828217511726,
0.6328212885987106,
1.8728807000471197,
0.9385745649150622,
1.4513133912120508,
1.3268144664179942,
0.44490423989573197,
0.4865144065574479,
0.6632024753211659,
0.07943656983825532,
0.3668597345972156,
-0.5970491501128776,
1.96... | {
"n_parameters": 178,
"n_qubits": 12,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 500 |
3129908168487924992 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[10, 6], [0, 1, 2, 3, 4, 6, 7, 9], [1, 2, 3, 5, 8, 10], [1, 2, 3, 4, 5, 7, 9, 10, 11, 12], [12, 5, 6], [0, 11, 3, 6], [1, 3, 5, 7, 8, 10], [0, 2, 3, 4, 10, 11], [0, 1, 2, 3, 7, 12], [0, 1, 4, 10, 12], [3, 4, 6, 7, 11], [1, 4, 5, 8, 11], [0, 2, 3, 5, 7... | {"states": [5023, 5055], "expectation_value": -4.322553685741948, "params": [1.5862, 1.5599, 0.0025, 0.0023, -0.003, -0.0033, 1.5975000000000001, 1.5488000000000002, 1.6593, 1.4876, 1.931, 1.2055, -0.003, -0.003, 0.8118000000000001, 0.8134, 1.5653000000000001, 1.5705, 1.5748, 1.5729, 1.5788, 1.5721, 1.5704, 1.577300000... | 0.5 * (Z(10) @ Z(6)) + 0.10119047619047619 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(10)) + 0.05119047619047619 * (Z(1) @ Z(6)) + 0.16944444444444443 * (Z(1) @ Z(10)) + 0.15833333333333333 * (Z(1) @ Z(0)) + 0.10119047619047619 * (Z(2) @ Z(6)) + 0.11944444444444444 * (Z(2) @ Z(10)) + 0.27619047619047615 * (Z(2) @ Z(0)) + 0.17... | 13 | 13 | 1 | {"smallest_eigenvalues": [-4.347222222222223], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.320238095238096, "smallest_bitstrings": ["0110001000000"], "largest_eigenvalue": 20.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.7647543490967852) q[0];
rz(0.07289566836318746) q[0];
ry(-0.11412897824240188) q[1];
ry(0.024441670050940077) q[2];
ry(1.6080339842522628) q[3];
ry(1.8584330199021042) q[4];
ry(1.9245673847749483) q[5];
ry(0.024441670050940077) q[6];
ry(0.7505728259604014) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZIIIIII",
"IIIIIIZIIIIIZ",
"IIZIIIIIIIIIZ",
"IIIIIIZIIIIZI",
"IIZIIIIIIIIZI",
"IIIIIIIIIIIZZ",
"IIIIIIZIIIZII",
"IIZIIIIIIIZII",
"IIIIIIIIIIZIZ",
"IIIIIIIIIIZZI",
"IIIIIIZIIZIII",
"IIZIIIIIIZIII",
"IIIIIIIIIZIIZ",
"IIIIIIIIIZIZI",
"IIIIIIIIIZZII",
"IIIIIIZIZIIII",
"IIZIIIIIZII... | [
0.5,
0.10119047619047619,
0.125,
0.05119047619047619,
0.16944444444444443,
0.15833333333333333,
0.10119047619047619,
0.11944444444444444,
0.27619047619047615,
0.17658730158730157,
0.18452380952380953,
0.1349206349206349,
0.3083333333333333,
0.2099206349206349,
0.2932539682539682,
0.067... | 0.987632 | [
1.7647543490967852,
-0.11412897824240188,
0.024441670050940077,
1.6080339842522628,
1.8584330199021042,
1.9245673847749483,
0.7505728259604014,
1.432612675040251,
1.5516120986747821,
1.6264440561618407,
1.6429431216252484,
1.573780474657272,
0.14579133672637493,
0.023270316508600595,
0.0... | {
"n_parameters": 45,
"n_qubits": 13,
"optimal_eigenvalue": -4.347222222222223,
"target_ratio": 0.97,
"target_value": -4.216805555555556
} | 1 |
9e14ad1f9402d7c930c6166736d23de7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [73, 75], "expectation_value": -9.496393832694867, "params": null, "bitstrings": ["110110110", "110110100"], "total_optimization_steps": 41, "probabilities": [0.37650477325892784, 0.3777717933096009], "optimization_time": 46.966042041778564} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.5 * Z(7) + 1.5 ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -8.5, "smallest_bitstrings": ["110110100", "111111110", "100110100", "111111100", "100110000", "110110010", "110110000", "110110110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.019398678090436997) q[0];
rz(2.084914487441562) q[0];
rx(0.09762454859881467) q[1];
rz(1.9642393875336737) q[1];
rx(0.15349678368786707) q[2];
rz(2.054520407527221) q[2];
rx(0.1508063677983519) q[3];
rz(2.01629317791377) q[3];
rx(-0.20457896895512162) q[4];
rz(1.9... | 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[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIZIZI",
"IZIIIIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIIZII",
"IIZIIIIII"
] | [
-0.5,
-0.25,
-0.75,
-0.25,
1.75,
-0.25,
-0.75,
-0.5,
-0.5,
-0.75,
-0.75,
-1,
-0.25,
-1,
0.5,
1.5,
-0.25,
0.75,
0.5,
-0.75
] | 0.973875 | [
-0.019398678090436994,
0.514118160646666,
0.09762454859881467,
0.39344306073877683,
0.15349678368786707,
0.4837240807323244,
0.1508063677983519,
0.44549685111887327,
-0.20457896895512162,
0.3909184559611752,
-0.1069543401062249,
0.5626121896390848,
0.019812075457725918,
0.4101572633914103,... | {
"n_parameters": 74,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 6 |
44db6493095286b918fb0c5bac33de1d | 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": 3, "source": 0, "t... | {"states": [203, 107], "expectation_value": -37.254546661429075, "params": null, "bitstrings": ["00110100", "10010100"], "total_optimization_steps": 100, "probabilities": [0.057206048320369615, 0.39438522917744046], "optimization_time": 179.80604314804077} | 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(0)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 6.0 * Z(0) + 12.0 * Z(2) + 14.0 * Z(1) + 0.0 * Z(3) + 15... | 1 | 8 | 3 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.1114879293616777) q[0];
ry(0.15685993350026523) q[0];
rz(-1.2753559774581484) q[0];
rz(1.6455463798734922) q[1];
ry(0.12439450381357361) q[1];
rz(-2.0806830828243723) q[1];
rz(1.9810033602527488) q[2];
ry(2.948676107721393) q[2];
rz(-1.039626053423473) q[2];
rz(1.6... | 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(8.8595) 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",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIIZ",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"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,
4.5,
6,
12,
14,
0,
15.5,
7.5,
11.5,
15
] | 0.972455 | [
0.40466514957797073,
0.2601706792456252,
0.0888412715111685,
0.2573921016905544,
1.8051101402836665,
0.08347576028210325,
0.030504361917943496,
0.08039412607444499,
1.381450409563023,
-0.1699186896737985,
1.1033417399647076,
0.012564086284400422,
0.18792404571706298,
0.07017314689331701,
... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 19 |
5144181ac27497fdfa9bdb5b8b799630 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [235, 427], "expectation_value": -6.516720859775182, "params": null, "bitstrings": ["100010100", "001010100"], "total_optimization_steps": 71, "probabilities": [0.10732474291520576, 0.8012628927503078], "optimization_time": 162.04637360572815} | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(... | 1 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001010100", "100010001"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}], "edges": [{"source": 2, "target": 1}, {"source": 1, "target": 0}]}} | {"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(1.5706) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIIIIZIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"ZZIIIIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
1.25,
1.25,
1.25,
1.25,
1,
1.25,
1.25,
1.25,
1.25
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
655689708e73cb2de5fff319b9c5049e | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21802, 21866], "expectation_value": -1.4343939502988867, "params": [[1.4644000000000001, 1.4698, 0.43820000000000003, 1.4114, 0.47740000000000005, 1.4758, 0.44380000000000003, 1.4789, 0.4297, 0.5001, 1.1435, 0.4429, 1.4763000000000002, 0.4259, 1.4788000000000001, 0.456], [0.4383, 1.1443, 0.4706, 1.450200000... | 0.25 * (Z(0) @ Z(1)) + -0.0009259259259259261 * (Z(2) @ Z(0)) + -0.0009259259259259261 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0006172839506172839 * (Z(4) @ Z(0)) + -0.00046296296296296303 * (Z(4) @ Z(2)) + 0.0006172839506172839 * (Z(5) @ Z(1)) + -0.00046296296296296303 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.0182098765431826], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0182098765431555, "smallest_bitstrings": ["1010101010010101"], "largest_eigenvalue": 2.016049382716005} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
ry(-0.3114576192495056) q[1];
cx q[0], q[1];
ry(0.3114576192495056) q[1];
cx q[0], q[1];
ry(-0.030618043159300785) q[0];
cx q[1], q[0];
ry(0.030618043159300785) q[0];
cx q[1], q[0];
ry(0.6769972329410875) q[0];
ry(-0.05626210454716797) q[1];
h q[2];
h 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[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0009259259259259261,
-0.0009259259259259261,
0.25,
0.0006172839506172839,
-0.00046296296296296303,
0.0006172839506172839,
-0.00046296296296296303,
0.25,
-0.0009259259259259261,
-0.0006944444444444445,
-0.00046296296296296303,
-0.0009259259259259261,
-0.0006944444444444445,
-0.00... | 0.97036 | [
-0.1530126046139461,
-0.6079426493672848,
-0.6986865897845813,
-0.6229152384990112,
-0.19187308433866224,
-1.262129033882647,
-1.0406852453135558,
-1.503410570765852,
-0.42170585527000815,
0.258806616762688,
-0.8679451848812157,
1.047117295721072,
0.06747524180625496,
0.9195739993990667,
... | {
"n_parameters": 98,
"n_qubits": 16,
"optimal_eigenvalue": -2.0182098765431746,
"target_ratio": 0.97,
"target_value": -1.9576635802468794
} | 72 |
7f8130041c7238405b90f5906c17ffea | 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": [362, 364], "expectation_value": -73.893455293527, "params": [[[0.6066, 0.0882], [0.23470000000000002, 0.1277], [0.6915, 0.3239], [0.6847000000000001, 0.46990000000000004], [0.1092, 0.4737], [0.4722, 0.5355], [0.0742, 0.4727], [0.5913, 0.6798000000000001], [0.3381, -0.10450000000000001]], [[0.4611, 0.1545], ... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(3) @ Z(0)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(8) @ Z(2)) + 9.0 * Z(1) + 15.5 * Z(2) + 23.5 * Z(0) + 16.0 * Z(3) + -... | 15 | 9 | 4 | {"smallest_eigenvalues": [-100.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["010010011"], "largest_eigenvalue": 179.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.9922666581447284) q[0];
rz(0.6100998541150711) q[0];
rx(0.4298997756430157) q[1];
rz(-0.18385348707876098) q[1];
rx(3.3377575054041917) q[2];
rz(-0.22196304005642312) q[2];
rx(2.862228211781246) q[3];
rz(-0.33549031439686683) q[3];
rx(-0.006688580356040391) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZZIII",
"IIZIIIIZI",
"IZZIIIIII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIIIIZII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIZIIIII",
"ZIIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
9,
15.5,
23.5,
16,
-4,
12.5,
5,
23.5,
-5.5
] | 0.97521 | [
2.9922666581447284,
0.39963750998287634,
0.4298997756430157,
-0.18385348707876098,
3.3377575054041917,
-0.22196304005642312,
2.862228211781246,
-0.33549031439686683,
-0.006688580356040391,
0.19355694464534406,
3.1211751629448363,
-0.49466723569742777,
3.3234628311216974,
-0.045014947069911... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -100.5,
"target_ratio": 0.97,
"target_value": -97.485
} | 19 |
1949b28e1aa10ea2a276346fd4c09def | 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": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": ... | {"states": [2046, 1534], "expectation_value": -18.7989364467633, "params": [[[0.007200000000000001, 1.9697], [0.00030000000000000003, -0.009300000000000001], [1.55, -0.0019], [0.0027, 0.0022], [0.0029000000000000002, 0.0022], [0.003, 0.0022], [0.0041, 0.0021000000000000003], [0.0032, 0.0021000000000000003], [0.0027, 0.... | -0.75 * (Z(0) @ Z(4)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(11) @ Z(0)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(11)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(10) @ Z(4)) + -0.75 * (Z... | 15 | 12 | 2 | {"smallest_eigenvalues": [-20.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["101000000001"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.06813522453985596) q[0];
ry(0.17584722051751664) q[1];
ry(1.258010477981235) q[2];
ry(0.0030119030717069145) q[3];
ry(0.0030119030717069145) q[4];
ry(-0.006822123741226881) q[5];
ry(-0.006822123741226881) q[6];
ry(0.023107305974111217) q[7];
ry(0.05304853184142048... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIIZIIIZ",
"IIIIIIZZIIII",
"IIIIIIZIIIIZ",
"ZIIIIIIIIIIZ",
"IIIIIIIIIZIZ",
"IIIIIIIZIIZI",
"IIIIIIZIIIZI",
"ZIIIIIIIIIZI",
"IIIIIZIIIIZI",
"IIIZIIIZIIII",
"IIIZIIZIIIII",
"IIIZIIIIIIZI",
"IZIIIIIZIIII",
"IZIIIIZIIIII",
"ZZIIIIIIIIII",
"IZIIIIIIIZII",
"IZIIIIIIIIZI",
"IZIIIZIII... | [
-0.75,
-1,
-0.25,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
2.5,
-0.75,
-0.25,
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.75,
-0.5,
-0.25,
-0.25,
-1.5,
-0.25,
1.25,
-... | 0.971451 | [
0.06813522453985596,
0.17584722051751664,
1.258010477981235,
0.0030119030717069145,
-0.006822123741226881,
0.023107305974111217,
0.053048531841420485,
-0.10898275606818371,
0.12034127863918324,
-0.585214089273056,
0.03208377583704284,
0.02760784330248979,
0.01161688394455493,
-0.0163271609... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -20.25,
"target_ratio": 0.97,
"target_value": -19.6425
} | 50 |
04fe200220cb0278b572d83172c75de9 | 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": 4, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [4, 5], "expectation_value": -9.249999999982546, "params": null, "bitstrings": ["1111011", "1111010"], "total_optimization_steps": 23, "probabilities": [4.6560002562450655e-12, 0.9999999999936049], "optimization_time": 18.020704984664917} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + -0.75 * Z(5) + 0.75 * Z(6) + 0.0 * Z(3) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111110", "1111010"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.06130815730018118) q[0];
rz(0.463469290764003) q[0];
rx(-0.07581104059622698) q[1];
rz(0.0489247887747748) q[1];
rx(-0.011251041592074667) q[2];
rz(-0.5619835883705591) q[2];
rx(-0.00789090442000682) q[3];
rz(0.27967715048844255) q[3];
rx(0.20171769347520233) q[4]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IZIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIIZZII",
"IZIZIII",
"IIZIIZI",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.75,
-1,
-1.25,
1,
-0.25,
-0.75,
-0.75,
-0.5,
-1,
-1,
-0.25,
-0.25,
-1.5,
-0.75,
0.75,
0,
2
] | 0.976998 | [
-0.061308157300181174,
0.30964234416005165,
-0.07581104059622698,
-0.17585963221822506,
-0.01125104159207467,
-0.4382858872484008,
-0.007890904420006818,
0.39046647275242663,
0.2017176934752023,
-0.3470176638746595,
0.08692341497440934,
-0.309682958908232,
0.7849760118838354,
0.03717952235... | {
"n_parameters": 71,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 5 |
f3f2872870ba47278d97d5dc1b7df9d5 | 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": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4},... | {"states": [508, 511], "expectation_value": -0.7928236681626071, "params": [[0.0673], [-0.057300000000000004]], "bitstrings": ["11000000011", "11000000000"], "total_optimization_steps": 10, "probabilities": [0.0007531323442627849, 0.0007757473742794509], "optimization_time": 0.9276578426361084} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["11000000000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-1.563159215367809) q[0];
ry(-0.30886573646302784) q[1];
rz(-pi) q[1];
h q[2];
ry(0.5065309130851605) q[2];
h q[3];
ry(0.7976271246097832) q[3];
h q[4];
ry(0.7976271246097832) q[4];
h q[5];
cx q[5], q[2];
ry(-0.5065309130851605) q[2];
cx q[5], q[2];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2]... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIIZIZIII",
"IIIIIZIIZII",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIII... | [
-1.5,
-2,
-1.5,
-2,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.947352 | [
1.013061826170321,
0.28008950314060416,
1.5952542492195665,
-3.0848990151615028,
0.20590918078058038,
3.5542021481406585,
-0.007501772547801593,
-0.013631628487965019,
0.9758308860819664,
1.340446654779617,
0.7792794465310915,
-1.6345956922001967,
-1.563159215367809,
0.253170313645636,
-... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 500 |
f8645113517905e1df1749520352d679 | 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": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 4}, {"weight": 7, "source": 2, "tar... | {"states": [351, 220], "expectation_value": -33.770427835155814, "params": null, "bitstrings": ["010100000", "100100011"], "total_optimization_steps": 100, "probabilities": [0.0903789040445417, 0.3121445371268592], "optimization_time": 192.10289764404297} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 6.0 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 8.0 * Z(4) + 8.0... | 1 | 9 | 3 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10923383720549897) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.10923383720549897) q[2];
cx q[0], q[2];
rz(1.2299948032833266) q[0];
rx(1.0879082958788673) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.10923383720549897) q[3];
cx q[4]... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(7.7632) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6,
5,
12,
8,
8,
17.5,
12,
6.5,
1
] | 0.859958 | [
0.10923383720549897,
-1.810537491794332,
1.229994803283326,
-1.6856305727411314,
-0.8120803734240312,
-1.7336898352556895,
1.3051021389879203,
1.3879897866400888,
1.0879082958788673,
-0.4710384321704608,
1.265319859463496,
-0.1555024889011401,
0.4251206411461428,
-0.2861529194851915,
-0.... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 500 |
348c13052b9cd507aa792296e385f0a4 | 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": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [3, 1], "expectation_value": -9.499987376089177, "params": null, "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 20, "probabilities": [1.2623858499060669e-05, 0.9999873761304554], "optimization_time": 17.719234228134155} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.06478935654218318) q[0];
rz(0.010473094700834906) q[0];
rx(-0.21029945099044114) q[1];
rz(0.36193904458961335) q[1];
rx(-0.12407138095515016) q[2];
rz(0.046088532858524545) q[2];
rx(0.1874119633339978) q[3];
rz(0.35704809683533245) q[3];
rx(-0.0838195345979585) q[4... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-1,
-1,
-0.75,
-0.5,
2,
-1,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
0.75,
1.5,
-1,
-0.5,
-0.25
] | 0.979758 | [
0.06478935654218318,
0.20218073164039307,
-0.21029945099044114,
0.4704675727431508,
-0.12407138095515018,
0.33009272048242233,
0.18741196333399776,
0.12867352073879185,
-0.08381953459795849,
-0.28813328048276804,
0.29408685795202144,
-0.42763869643912095,
0.9971024611824714,
0.068911216138... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 8 |
11576eab70c2ec583415b5e8bd58f9e2 | edge_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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [60, 85], "expectation_value": -0.5196202729266521, "params": [[0.0671, 0.06330000000000001, 0.07010000000000001, 0.0794], [-0.0668, -0.0443, -0.0514, -0.0663]], "bitstrings": ["1000011", "0101010"], "total_optimization_steps": 10, "probabilities": [0.016333732499215634, 0.01633373249921565], "optimization_t... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(2) @ Z(6) @ Z(3)) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101010", "1000011"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"ZIIIIZI",
"IIIZZII",
"ZIIIZII",
"ZIIZIII",
"ZIIZZII",
"IZZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
-0.25,
0,
0,
-0.25,
-1,
-0.25
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
d92b7c12d97dc605feea13254bd8dff9 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [43, 41], "expectation_value": -6.26666521656577, "params": null, "bitstrings": ["1010100", "1010110"], "total_optimization_steps": 28, "probabilities": [0.2134849812769365, 0.21348894007073743], "optimization_time": 22.701814651489258} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + -0.75 * Z(4) + 0.75 * Z(6) + 0.75 * Z(3) + 0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["1110110", "1110100", "1010100", "1010110"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.1613355818092186) q[0];
h q[1];
ry(-0.12233573057545974) q[2];
rz(-pi) q[2];
h q[3];
ry(1.3171455343153773) q[3];
h q[4];
ry(-1.4549864237177321) q[4];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.1613355818092186) q[0];
cx q[6], q[0];
ry(-1.3359098122324058) q[0];... | 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(-1.5681) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IIZZIII",
"ZIIZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
1.75,
-0.25,
-0.5,
-0.5,
0,
-0.25,
-1,
-0.75,
0.75,
0.75,
0.5
] | 0.978301 | [
-0.3226711636184372,
1.0297858894541518,
-1.3860618782316705,
-1.4549864237177321,
-1.2701039327304473,
1.3171455343153773,
0.6533473382192567,
-0.13161175900391658,
-0.23704437420561295,
-0.36147363198884425,
0.07668172061107403,
0.05424147455893963,
0.18792758690886313,
-0.12479743597553... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 14 |
-6009607352826141625 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[6, 7], [2, 5, 7], [2, 3, 6], [1, 4, 5], [0, 3, 5], [0, 2], [1, 2, 5], [0, 1, 5, 6], [1, 2, 4, 6], [2, 4, 5], [0, 1, 3, 4], [1, 3, 4, 6], [1, 3, 5, 7]]} | {"states": [126, 118], "expectation_value": -1.8680710703674455, "params": [0.9753000000000001, 0.001, 0.8056000000000001, 0.0036000000000000003, 1.0032, 0.0039000000000000003, 1.0005, 0.0063, 0.9956, 0.0031000000000000003, 0.9937, 0.0001, 0.9933000000000001, -0.002, 0.9968, 0.0022, 0.9936, 0.0025, 0.991, 0.0088, 1.004... | 0.5 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(... | 6 | 8 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.416666666666666, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[6];
rz(-0.011654196581674249) q[6];
cx q[7], q[6];
cx q[7], q[2];
rz(-0.012808508440692513) q[2];
cx q[7], q[2];
cx q[6], q[2];
rz(0.005747501713076366) q[2];
cx q[6], q[2];
cx q[7], q[5];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} | [
"ZZIIIIII",
"ZIIIIZII",
"IZIIIZII",
"ZIZIIIII",
"IZZIIIII",
"IIZIIZII",
"ZIIIZIII",
"IZIIZIII",
"IIIIZZII",
"IIZIZIII",
"ZIIIIIZI",
"IZIIIIZI",
"IIIIIZZI",
"IIZIIIZI",
"IIIIZIZI",
"IZIZIIII",
"IIIZIZII",
"IIZZIIII",
"IIIZZIII",
"IIIZIIZI",
"IZIIIIIZ",
"IIIIIZIZ",
"IIZIIII... | [
0.5,
0.16666666666666666,
0.25,
0.25,
0.08333333333333333,
0.5,
0.08333333333333333,
0.25,
0.16666666666666666,
0.25,
0.08333333333333333,
0.25,
0.25,
0.49999999999999994,
0.25,
0.16666666666666666,
0.25,
0.3333333333333333,
0.16666666666666666,
0.41666666666666663,
0.0833333... | 0.970704 | [
-0.011654196581674249,
-0.012808508440692513,
0.005747501713076366,
-0.011790261864431132,
-0.2655053001798946,
0.044078095903494575,
-1.6415664004745163,
1.531164435451494,
-1.5926725468046614,
1.5065375359321385,
-1.5859047148614278,
-1.6609590705517159,
1.4775992447436757,
1.56210896559... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 130 |
e8fdec38f32f10530d269f6547919d57 | edge_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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [118, 171], "expectation_value": -0.01082110521901436, "params": [[0.0146, 0.0098], [-0.023100000000000002, -0.019100000000000002]], "bitstrings": ["10001001", "01010100"], "total_optimization_steps": 10, "probabilities": [0.003994363873324808, 0.003994363873324811], "optimization_time": 6.24955940246582} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(6) @ Z(2)) + 0.125 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["10001001", "01010100"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.17949889982137707) q[0];
h q[1];
ry(-0.14797600783105308) q[1];
h q[2];
ry(1.6432224921298026) q[2];
h q[3];
cx q[3], q[0];
ry(0.17949889982137707) q[0];
cx q[3], q[0];
ry(0.8547520083356644) q[0];
h q[4];
cx q[4], q[1];
ry(0.14797600783105308) q[1];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IZZZIIII",
"ZIZIIIII",
"IIIIZZII",
"IZIIIZII",
"ZIIIIZII",
"IZIIZIII",
"ZIIIZIII",
"ZZIIIIII",
"IZIIZZII",
"ZIIIZZII",
"ZZIIIZII",
"ZZIIZIII",
"ZZIIZZII",
"IIIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.25,
-0.25,
0.125,
-0.125,
-0.25,
-0.25,
0.125,
-0.125
] | 0.972171 | [
-0.29595201566210616,
-0.35899779964275413,
1.6432224921298026,
0.9033872731020592,
-0.4118355892285082,
0.7485108173051358,
-0.3753867049038224,
-0.10690644632358749,
0.32912167940678394,
-0.21107854551076083,
0.6268900816335382,
-0.009865066915267423,
0.06148966405270589,
0.2832723267589... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 50 |
de8cc468e237fc0b01b4910fa798084b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 10}, {"capacity": 1, "source": 1, "target"... | {"states": [320, 448], "expectation_value": -6.841719780745733, "params": [0.0356, -0.0665, 0.0082, 0.006900000000000001, -0.0045000000000000005, 0.2399, -0.0018000000000000002, 0.2973, -0.4691, 0.0, -0.45030000000000003, -0.0007, 0.3703, 0.00030000000000000003, 0.3473, 0.0012000000000000001, 0.38730000000000003, -0.0,... | -0.5 * (Z(0) @ Z(5)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(10) @ Z(3)) + -0.25 * (Z(10) @ Z(7)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(8)... | 6 | 11 | 2 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25, -7.25, -7.25, -7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.25, "smallest_bitstrings": ["11000111000", "11000101000", "11000111111", "11000100000", "10000100000", "11000110000", "11010111111", "10000000000"], "largest_eigenvalue": 7.... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.08928848904069193) q[0];
rz(1.3024873879601682) q[0];
rx(-0.07425840168075032) q[1];
rz(2.341618132580532) q[1];
rx(1.2511748455520941) q[2];
rz(1.420375252426492) q[2];
rx(1.7034920438017886) q[3];
rz(1.6843902276527283) q[3];
rx(2.78651119300605) q[4];
rz(1.258... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIZ",
"IIIIIIIIZIZ",
"IIIIIZIIIZI",
"IIIIZIIIIZI",
"IIIIZIIZIII",
"IIIZIZIIIII",
"IIIZIIIIIZI",
"IIIZIIIZIII",
"ZIIIIIIZIII",
"ZIIZIIIIIII",
"IIIIIIZIZII",
"IIIIIIZIIZI",
"IIIZIIZIIII",
"IIZIIZIIIII",
"IIZIIIIIZII",
"ZIZIIIIIIII",
"IZIIZIIIIII",
"ZZIIIIIIIII",
"IZZIIIIII... | [
-0.5,
0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
0,
-0.75,
-0.5,
1,
0,
0,
1,
-0.25,
0.5
] | 0.98735 | [
-0.08928848904069195,
-0.2683089388347289,
-0.07425840168075033,
0.7708218057856357,
1.251174845552094,
-0.15042107436840477,
1.7034920438017886,
0.11359390085783197,
2.78651119300605,
-0.31265339862410096,
0.010795002131368761,
-0.03219171598174031,
-0.015649158345353104,
0.16165032424168... | {
"n_parameters": 28,
"n_qubits": 11,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 12 |
aa017fe03799a772a3aff0770f4d70b4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 2... | {"states": [63, 9], "expectation_value": -0.16514132318657673, "params": [[-0.053000000000000005], [0.06770000000000001]], "bitstrings": ["1000000", "1110110"], "total_optimization_steps": 10, "probabilities": [0.008532995938633804, 0.008548728308679159], "optimization_time": 1.4750206470489502} | -1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(5)) + 1.5 * Z(5) + -0.25 * Z(0) + 0.0 * Z(6) + 0.25 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000000", "1110000", "1110100", "1010100", "1100100", "1110110", "1100000", "1010000", "1000100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.7202482055888763) q[0];
h q[1];
h q[2];
h q[3];
ry(0.6763684963105008) q[3];
h q[4];
h q[5];
ry(1.544949320168152) q[5];
h q[6];
ry(0.7842758172411688) q[6];
cx q[5], q[6];
ry(-0.7842758172411688) q[6];
cx q[5], q[6];
cx q[6], q[0];
ry(0.7202482055888763) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZZIIIII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-1,
-1,
1.25,
-0.25,
-0.5,
-0.5,
-0.5,
1.5,
-0.25,
0,
0.25,
-0.5,
-0.5,
-0.5
] | 0.997887 | [
1.544949320168152,
1.5685516344823376,
-1.4404964111777525,
1.3527369926210016,
-0.21987719305568587,
0.09712159271413541,
0.06523432631452608,
-0.047813366282852085
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
a0628360268c8eb96b056d55b8025a10 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target":... | {"states": [295, 359], "expectation_value": -3.788441664998295, "params": [[[-0.0017000000000000001, 0.0032], [1.7060000000000002, 0.0058000000000000005], [0.43820000000000003, 0.0046], [1.6478000000000002, 0.0063], [1.7089, 0.0015], [0.0304, 0.0031000000000000003], [1.4773, 0.0008], [1.7138, 0.0048000000000000004], [1... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + -0.5 * Z(3) + -2.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(6) + -0.5 * Z(7) + 0.0 * Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1010011000", "1011010000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.12899747335492714) q[0];
rz(-0.658323421129207) q[0];
rx(2.7022798892863498) q[1];
rz(-0.3580624290241115) q[1];
rx(-0.0861415047475508) q[2];
rz(0.468508622412959) q[2];
rx(0.0397834465468786) q[3];
rz(-1.3142837803439935) q[3];
rx(3.2700907560511854) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"ZIIIIIIIIZ",
"IIIZZIIIII",
"IIIIZIIIZI",
"IIIIIZIZII",
"IIZIIIIZII",
"IZIIZIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IIIIZIIIII",
"IIIIIIIIZI",
"IIIIIIIZII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-0.5,
-1,
-0.5,
0,
-1,
0,
-0.5,
0
] | 0.982653 | [
-0.12899747335492714,
-0.658323421129207,
2.7022798892863498,
-0.3580624290241115,
-0.0861415047475508,
0.468508622412959,
0.0397834465468786,
-1.3142837803439935,
3.2700907560511854,
0.18611861592317958,
-0.07566284502917345,
1.3145858350197723,
3.0083171242945674,
-0.5277802349531466,
... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 32 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -7.022080796587442, "params": [[0.0221, -0.0292, -0.0591, -0.0335], [-0.0425, 0.014, 0.0604, 0.059500000000000004]], "bitstrings": ["011110", "111100"], "total_optimization_steps": 10, "probabilities": [0.031201631731180346, 0.03199571801778643], "optimization_time": 7.753401279... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5... | 14 | 6 | 4 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) 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": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
-6,
-6,
-6,
-5.75,
-5.5,
-5.25
] | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
10b46313f5ba69fed433ce41b4ff5c0d | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"sour... | {"states": [124, 127], "expectation_value": -9.949430488473563, "params": null, "bitstrings": ["10000011", "10000000"], "total_optimization_steps": 94, "probabilities": [0.0866798027316276, 0.4987206574507992], "optimization_time": 180.42838072776794} | -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(3.1415924732857192) q[0];
ry(0.5897985035031317) q[0];
rz(-1.570796109836262) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.9955658339146248) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.18520990155983186) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.3654981619502446)... | null | {"node": 0} | {"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(1.5708) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIIIIZ"
] | [
-2,
1,
-2.5,
-2,
-2,
-2.5,
0.5,
-2,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.550263 | [
-0.9955658339146248,
-0.18520990155983186,
-0.3654981619502446,
-0.05172706052669016,
-1.617305251173022,
-1.5707962061238967,
-0.9809978232917758
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 215 |
2284924743996628534 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 5], [0, 4], [3, 5], [1, 2]]} | {"states": [52, 44], "expectation_value": -1.843930568633984, "params": null, "bitstrings": ["001011", "010011"], "total_optimization_steps": 37, "probabilities": [0.056481198982907675, 0.7993405445161581], "optimization_time": 26.180468320846558} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["001011", "010011", "101100", "110100"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.2754123170719011) q[1];
h q[2];
cx q[2], q[1];
ry(0.2754123170719011) q[1];
cx q[2], q[1];
ry(-0.7968428243895365) q[1];
ry(1.034322900435286) q[2];
h q[3];
h q[4];
ry(-0.2754123170719011) q[4];
cx q[0], q[4];
ry(0.2754123170719011) q[4];
cx q[0], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"ZIIIIZ",
"IZIIIZ",
"ZIZIII",
"IIIZZI",
"ZIIIII",
"IIIIIZ",
"IZIIII",
"IIZIII",
"IIIZII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.972871 | [
-0.5508246341438022,
1.4049319463705003,
-0.9853678184154097,
0.7347799887664863,
-0.7178181760474426,
0.5669603541780227,
0.1531441441326295,
-0.4785663273644566,
0.5990858233375992,
-0.26705351250469045,
-0.6365529940501599,
0.3522976548651284,
-0.3014095746112961,
-0.24675609543514881,
... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 14 |
d94c7cbe7eb9ed353bda93cdb43e68ab | 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": [1379, 1377], "expectation_value": -93.27118936864025, "params": [2.4929, 0.0038, 1.3358, 0.0041, 2.5100000000000002, 0.0097, -0.0026000000000000003, 0.0091, 2.5082, 0.0026000000000000003, 2.5043, 0.0018000000000000002, 1.0696, 0.0061, -0.0019, 0.0055000000000000005, -0.0024000000000000002, 0.0067, 1.4814, 0... | 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(4) @ Z(0)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(9) @ Z(0)) + 7.5 * (Z(9) @ Z(4)) + 7.5 * (Z(10) @ Z(5)) + 7.5 * (Z(10) @ Z(9)) + 25.0 * Z(0) + 15.0 * Z(2) + 5.0 * Z(1) + 21.5 * Z(4) +... | 18 | 11 | 1 | {"smallest_eigenvalues": [-130.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -117.0, "smallest_bitstrings": ["01010011110"], "largest_eigenvalue": 210.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-2.993321947792054) q[0];
rz(0.25029386930176134) q[0];
rx(0.46083901080064016) q[1];
rz(-0.0013860557213802027) q[1];
rx(3.0694407613372556) q[2];
rz(0.228204504969796) q[2];
rx(-0.07301186817481559) q[3];
rz(0.2506104216194395) q[3];
rx(2.9831277308691533) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZIIIIZII",
"IZIIIIIIIIZ",
"IZIIIIZIIII",
"ZIIIIZIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
25,
15,
5,
21.5,
17,
3,
-7,
9,
9,
-11.5,
-11
] | 0.973535 | [
3.2898633593875326,
0.22201181518324647,
0.46083901080064016,
-0.0013860557213802027,
3.0694407613372556,
0.228204504969796,
-0.07301186817481559,
0.2506104216194395,
2.9831277308691533,
-0.027201247863496182,
3.062364291541253,
0.31039525597374173,
0.25478704695167387,
0.05656410823703009... | {
"n_parameters": 31,
"n_qubits": 11,
"optimal_eigenvalue": -130,
"target_ratio": 0.97,
"target_value": -126.1
} | 16 |
9dd8266042fcde8d0f7c760b71b9c0f3 | 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": 0, "target": 8}, {"source": 1, "target": 6}, {"source": 1, "target": 8}, {"sour... | {"states": [250, 218], "expectation_value": -3.954551560487369, "params": [[[0.11130000000000001, -0.24830000000000002], [0.608, -0.0016], [0.5764, 0.0015], [0.4877, -0.0646], [0.6083000000000001, 0.0034000000000000002], [0.5999, 0.0039000000000000003], [0.0015, 0.2846], [0.6094, 0.0006000000000000001], [-0.0073, 0.323... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + -0.5 * Z(4) + -1.0 * Z(0) + -0.5 * Z(7) + -2.0 * Z(8) + -0.5 * Z(1) + -1.0 * Z... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["100100101", "101000101"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.09667357222492164) q[0];
ry(1.0389747080368181) q[1];
ry(-0.05292011185601332) q[2];
ry(1.1016901662053047) q[3];
ry(1.0019331905025246) q[4];
ry(1.2074117114009841) q[5];
ry(0.11880448987116417) q[6];
ry(1.1302031924508165) q[7];
ry(-0.04943661146825422) q[8];
cz ... | OPENQASM 3.0;
include "stdgates.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",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIIIZI",
"IIZIZIIII",
"IIZIIIIZI",
"ZIIIIIZII",
"IIZIIZIII",
"IIIIIZZII",
"ZIIZIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-2,
-0.5,
-1,
-0.5,
-0.5,
0
] | 0.976392 | [
0.09667357222492164,
1.0389747080368181,
-0.05292011185601332,
1.1016901662053047,
1.0019331905025246,
1.2074117114009841,
0.11880448987116417,
1.1302031924508165,
-0.04943661146825422,
-0.26756071078340693,
0.9328464131607765,
-0.08868180741822981,
0.31976349131849463,
-0.0261464771916854... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 17 |
eaf152c9366c1fc70b9994ec462b6b4c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [35, 7], "expectation_value": -3.9964640440510215, "params": null, "bitstrings": ["011100", "111000"], "total_optimization_steps": 23, "probabilities": [0.06634810230103094, 0.9303665171778082], "optimization_time": 17.83027672767639} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "011100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.6888090260409325) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.6888090260409325) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.6888090260409325) q[1];
cx q[2], q[1];
rz(0.6888090260409325) q[3];
cx q[0], q[3];
rz... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IIIZZI",
"IIZIZI",
"IZIIZI",
"ZIIZII",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
-1.5,
0,
-0.5
] | 0.97417 | [
0.6888090260409325,
-0.8365933516710795,
0.4055984428236141,
-0.5984647884441731,
0.6289659276331325,
0.03651754152469934,
-0.5975771749548225,
-0.20606642446438989,
0.7006882864312995,
-0.769960966506855,
-1.1910601522991142,
-0.06878545903780295,
-0.25779646726100014,
0.6591243819959086,... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 36 |
69144809aea48cb46eae9c3950f24a15 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [65147, 56955], "expectation_value": -16.503346760159854, "params": [0.9317000000000001, 0.9295, 1.5772000000000002, 1.5763, 0.7679, 0.77, 1.5699, 1.5733000000000001, 1.5783, 1.5774000000000001, 1.1584, 1.1517, 1.5781, 1.5742, 0.7668, 0.7586, 0.7648, 0.7608, 1.4919, 1.4884000000000002, 1.1619000000000002, 1.... | 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(... | 13 | 16 | 1 | {"smallest_eigenvalues": [-20.49999999999982], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.49999999999978, "smallest_bitstrings": ["0010000110000100"], "largest_eigenvalue": 69.50000000000036} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 3}, {"id": 1}, {"id": 0}, {"id": 2}], "edges": [{"source": 3, "target": 0}, {"source": 1, "target": 0}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIZIII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIIIZIIZI",
"IIIIIIIIIIIZZIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIZIIZIIII",
"IIIIIIIIIIZZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,... | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
3d1dde02abe951da208ed22501079cfd | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [6, 7], "expectation_value": -13.810945553155134, "params": [[[0.2631, 0.18480000000000002], [0.2581, 0.18460000000000001], [0.2534, -0.1859], [0.2569, 0.1852], [0.2029, -0.1942], [0.5967, 0.0014], [0.6, -0.0013000000000000002], [0.5887, 0.002]], [[0.26030000000000003, 0.18480000000000002], [0.26230000000000... | 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.... | 1 | 8 | 3 | {"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(0.01916910831901575) q[0];
ry(0.040011321484877946) q[0];
rz(-0.3297910839494538) q[0];
rz(-0.6279459329093449) q[1];
ry(0.04144721688536006) q[1];
rz(1.3890117666592916) q[1];
rz(1.2678448526061201) q[2];
ry(0.3643402784305616) q[2];
rz(-2.253218816818194) q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7,
-7,
-7,
-7.5,
-6.25,
-6.5,
-6.25
] | 0.973939 | [
-0.06665264922991992,
-0.536085762019275,
0.05219494770080912,
0.4134012993974177,
0.2394787235997971,
-0.7739367453951336,
0.4866368394148667,
-0.0401288681240079,
0.008567340947978966,
0.15545946273142092,
1.3726489496448595,
0.04126656472357189,
0.9034759098953484,
1.9977648676974686,
... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 17 |
63ad1599f1fdc150fea495e3f4eaeb55 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [85, 21], "expectation_value": -3.2445236685958463, "params": [[[0.7057, -0.0664], [-0.0039000000000000003, 0.4615], [0.9024000000000001, 0.0009000000000000001], [0.08120000000000001, 0.4092], [0.9103, 0.0026000000000000003], [-0.006200000000000001, -0.4591], [0.8641000000000001, -0.002]], [[0.7094, 0.0023],... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(5) + 0.0 * Z(6) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101011", "1001110", "1101010", "1110100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.9928102323017777) q[0];
ry(1.1545297914166737) q[1];
ry(0.22889566914164394) q[2];
ry(1.2288248329253564) q[3];
ry(0.5662430360482972) q[4];
ry(0.7636314466276866) q[5];
ry(0.8837950446444086) q[6];
ry(0.5915965674377509) q[7];
ry(1.4225594251189457) q[8];
ry(0.66... | OPENQASM 3.0;
include "stdgates.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",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIZIIZI",
"IZZIIII",
"IIZZIII",
"IZIIZII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IIIIZII"
] | [
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,
0,
-1,
-1,
-0.5
] | 0.972925 | [
0.9928102323017777,
1.1545297914166737,
0.22889566914164394,
1.2288248329253564,
0.5662430360482972,
0.7636314466276866,
0.8837950446444086,
0.5915965674377509,
1.4225594251189457,
0.6662676926328734,
-0.08505446300233785,
-0.025670184491829735,
-0.02053504608634811,
-0.014953512164752731,... | {
"n_parameters": 59,
"n_qubits": 10,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 86 |
3257eb74c5059c972aa1cf1f57c7841b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [857, 1881], "expectation_value": -2.0526036855542285, "params": [0.4988, 0.4307, 0.5945, 0.5995, 0.5927, 0.5934, 0.33080000000000004, 0.2891, 0.5994, 0.6041000000000001, 0.34890000000000004, 0.3306, 0.6056, 0.6001000000000001, 0.5975, 0.5961000000000001, 0.1585, 0.1578, -0.0, -0.0005, 0.6028, 0.603300000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 14 | 11 | 2 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.75, "smallest_bitstrings": ["00011001010", "00010110010", "01010100010", "01000100110", "00100100110", "00101000110", "10000100110", "100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.604794358462062) q[0];
h q[1];
ry(1.4676073177425042) q[1];
h q[2];
ry(-0.5077466166761001) q[2];
h q[3];
ry(1.4266241947204965) q[3];
h q[4];
ry(-1.604794358462062) q[4];
ry(-0.15549175033431428) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[2];
ry(0.50774661667... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIIIZZIIIZ",
"IIIIZIIIIZI",
"IIIZIIIIIZI",
"IIZIIIIIIZI",
"IIIZZIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.... | 0.998653 | [
-1.604794358462062,
-1.4553258713263464,
1.4266241947204965,
1.4676073177425042,
-1.0154932333522002,
0.6855737295491413,
-0.5831377709843016,
0.6175056371217669,
-0.38038496147893763,
0.31761360388928944,
-0.14371098723256165,
0.08004258973152818,
0.123377621009911,
0.17468612591959368,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
fb354d60453679d679afcbc2ef259e36 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target": 4}, {"weight": 1, "... | {"states": [1706, 1642], "expectation_value": -1.2795097902409713, "params": null, "bitstrings": ["100101010101", "100110010101"], "total_optimization_steps": 100, "probabilities": [0.03782799337115321, 0.4884400634916205], "optimization_time": 307.9408359527588} | 0.25 * (Z(0) @ Z(1)) + -0.0009765625 * (Z(2) @ Z(0)) + -0.0009765625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0011718750000000002 * (Z(4) @ Z(0)) + 0.0005859375000000001 * (Z(4) @ Z(2)) + -0.0011718750000000002 * (Z(5) @ Z(1)) + 0.0005859375000000001 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0005859375000000001 * (... | 1 | 12 | 1 | {"smallest_eigenvalues": [-1.5107421875000009, -1.5107421875000009], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5103515625000004, "smallest_bitstrings": ["100110010101", "011001101010"], "largest_eigenvalue": 1.5169921875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.771457845796399) q[0];
rz(0.20583293908457456) q[0];
rx(0.9226641717609871) q[1];
rz(0.16372671104574926) q[1];
cx q[1], q[0];
rz(-0.04382293817596074) q[0];
cx q[1], q[0];
rx(0.7533216915569005) q[0];
rz(0.05206125349230284) q[0];
rz(0.06315738960408568) q[1];
rx(... | null | {"communities_size": 3, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(-0.5959) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0009765625,
-0.0009765625,
0.25,
-0.0011718750000000002,
0.0005859375000000001,
-0.0011718750000000002,
0.0005859375000000001,
0.25,
0.0005859375000000001,
-0.0006835937500000001,
0.0005859375000000001,
0.0005859375000000001,
-0.0006835937500000001,
0.0005859375000000001,
0.25... | 0.97422 | [
0.7714578457963991,
0.16201000090861373,
0.9226641717609871,
0.16372671104574926,
1.1584520372173939,
-0.006876482614402969,
0.0444164020346387,
0.25393271130854,
-0.047803904028318286,
-0.03324698493440209,
-0.03689418107124742,
0.10406937110530717,
0.643156446848987,
0.15964110472260815,... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 13 |
8e4b273e62e3bdbcb042f56fe9c0bd31 | 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": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [40, 42], "expectation_value": -1.7923931369002626, "params": [[[1.7112, 0.0041], [-0.0026000000000000003, 0.0025], [1.7043000000000001, 0.0097], [0.4494, 0.0066], [1.6199000000000001, 0.0023], [0.4531, 0.006200000000000001]]], "bitstrings": ["010111", "010101"], "total_optimization_steps": 170, "probabiliti... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(5) @ Z(2)) + -0.25 * Z(0) + -0.25 * Z(2) + -0.75 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["010101"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003570858544960076) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.003570858544960076) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.003570858544960076) q[1];
cx q[1], q[0];
rz(-0.11726358043627519) q[0];
cx q[1], q[0];
cx q[2], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZZIII",
"ZZIIII",
"ZIIZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5
] | 0.762533 | [
0.003570858544960076,
-0.11726358043627519,
-0.6462594328548128,
1.611929135236777,
0.6371699566376291,
0.9513101502862553,
0.03572501092869963,
0.07116209703665359,
-1.4784117063539257,
-0.06107024763807288,
0.8005656144892781,
0.538238114406948
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 320 |
9645644fcb46d75a104e4de81b9201a7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [3, 1], "expectation_value": -3.500099261266812, "params": [0.0021000000000000003, 0.1761, 0.0033, 0.43160000000000004, 0.0009000000000000001, 0.44930000000000003, 0.0004, 0.43860000000000005, 0.003, 0.4529, 0.453, 0.15990000000000001, 0.6077, 0.0041, -0.004, 0.2797, 0.002, 0.40190000000000003, 0.0051, 0.459... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(6) + 1.0 * Z(3) + -0.75 * Z(1) + -0.75 * Z(4) + 0.5 * Z(5) | 3 | 7 | 3 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1111100", "1010100"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5968952478819238) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.06171327633547268) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.415918497861762) q[1];
cx q[3], q[1];
h q[4];
cx q[2], q[4];
rz(-0.06171327633547268) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"ZIIIIIZ",
"IIIZZII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
0.5,
1,
-0.75,
-0.75,
0.5
] | 0.926178 | [
-0.5968952478819238,
0.4526712559046789,
-0.06171327633547268,
-0.415918497861762,
-0.6502010492922798,
-1.6181973367743598,
-0.8278971628393553,
0.9201213440736843,
-0.14848852993025277,
-1.0885472675907426,
-0.6577968816211469,
-1.0712293365854164
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 324 |
a887d91f9606dc8ffadccd46fa1ed57b | 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": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capaci... | {"states": [23, 17], "expectation_value": -2.875854388866949, "params": [[-0.055900000000000005, -0.042800000000000005, -0.0412, -0.032100000000000004], [0.0729, 0.0656, 0.056100000000000004, 0.0494]], "bitstrings": ["101000", "101110"], "total_optimization_steps": 10, "probabilities": [0.03983698083618147, 0.044613463... | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 3.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + -2.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.5 * Z(5) + 1.0 * Z(1) + -0.75 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["101110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-2.7026747242885296) q[0];
ry(0.04369070613606717) q[0];
rz(-2.3989077382019692) q[0];
rz(1.2390313594475595) q[1];
ry(2.7029776244779247) q[1];
rz(-1.8931095271762974) q[1];
rz(1.2296356242845414) q[2];
ry(0.07252810464454057) q[2];
rz(-0.8196100966248716) q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"ZIIIZI",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
-1.5,
-1.25,
3,
-1,
-0.5,
-0.5,
-0.75,
-2,
-0.25,
0.5,
1.5,
1,
-0.75
] | 0.983616 | [
-0.10851937358898682,
0.4487744318096143,
1.03540924260132,
-0.08402551519855138,
0.11521988296733376,
0.42557088328310494,
-0.050850343758797184,
0.2581494561174059,
-0.14082975527251856,
0.5348791684932794,
0.6541134772230921,
-0.015841090960918423,
0.10336452295257065,
0.568926069772383... | {
"n_parameters": 34,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 11 |
b3537f2efdfe83419ab29e4b33e9908d | 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": [1364, 1362], "expectation_value": -94.67578863888127, "params": [0.778, 0.10300000000000001, 0.0036000000000000003, 0.7646000000000001, 0.8784000000000001, 0.2083, -0.0049, 0.666, 0.8121, 0.2215, 0.0021000000000000003, 0.5657, 0.7768, 0.1263, 0.0021000000000000003, 0.7939, 0.7277, -0.2556, 0.834900000000000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(9) @ Z(8)) + -5.5 * Z(1) + -1.5 * Z(0) + 10.0 * Z(2) + 3.0 * Z(3) + 8.5 * Z(4) + 2.5 * Z(5) + 10.0 * Z(6) + -3.0 * Z(7) + 1.5 * Z(8) + 0.0 * Z(9) + -12.5 * Z... | 18 | 11 | 4 | {"smallest_eigenvalues": [-101.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.0, "smallest_bitstrings": ["01010101101"], "largest_eigenvalue": 112.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.7793338853393215) q[0];
rz(0.028791037644935888) q[0];
ry(-0.01544858035962133) q[1];
rz(-0.5422797472861863) q[1];
cz q[1], q[0];
ry(1.52636998512805) q[0];
rz(0.09236621337796443) q[0];
ry(-0.10603854778161778) q[1];
ry(1.716741366471937) q[2];
rz(0.142833793626... | 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIZIIIIIZII",
"IZZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"IIZIIIIIIII",
"IZIIIIIIIII",
"ZIIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-5.5,
-1.5,
10,
3,
8.5,
2.5,
10,
-3,
1.5,
0,
-12.5
] | 0.976568 | [
1.7793338853393215,
0.028791037644935888,
-0.01544858035962133,
-0.5422797472861863,
1.716741366471937,
0.14283379362668358,
-0.0429804523987072,
0.5029440666671319,
1.415137800475429,
0.06367862523842648,
0.03227602419479738,
0.2473957448341332,
1.4359506396993464,
-0.2008353559495781,
... | {
"n_parameters": 61,
"n_qubits": 11,
"optimal_eigenvalue": -101,
"target_ratio": 0.97,
"target_value": -97.97
} | 59 |
92977879d93808800c1e23dcfc7674ef | 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": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3... | {"states": [0, 1], "expectation_value": -7.745831462960979, "params": null, "bitstrings": ["1111111", "1111110"], "total_optimization_steps": 16, "probabilities": [0.004146169462670658, 0.9958365055879695], "optimization_time": 11.676794528961182} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + 1.0 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.0 * Z(1) + 0.25 * Z(6) + -1.5 * Z(3) + 0.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.75, -7.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.75, "smallest_bitstrings": ["1000000", "1111110"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.3261269853696955) q[0];
ry(0.15280812214778283) q[0];
rz(-0.9337312810805996) q[0];
rz(1.9964547680865152) q[1];
ry(0.012800230110904963) q[1];
rz(-1.05764626837213) q[1];
rz(1.8549141366812627) q[2];
ry(0.11932868904959167) q[2];
rz(-1.180939263083199) q[2];
rz(1.... | 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[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[6];\n", ... | [
"IIIIZIZ",
"IZIIZII",
"IZIIIZI",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IZIZIII",
"IIZIZII",
"IIZIIZI",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
-0.5,
-0.5,
0.5,
-0.25,
-1.25,
-1.75,
-1,
-0.75,
-1,
1,
-0.25,
-0.25,
0,
0.25,
-1.5,
0.75
] | 0.971819 | [
0.2272475611940175,
0.4377124216033437,
0.007027150486334427,
0.8512983117083938,
0.06214994664994243,
0.5671964715179287,
0.7475781204584308,
-0.1054743656991431,
0.8578104341995038,
-0.0897300356332893,
0.7944609943390304,
1.1250250205416625,
0.10067833046202983,
-0.0870985131794334,
-... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 8 |
b112e2ea9564e5424aa1ebbe167f5e45 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [7, 5], "expectation_value": -3.3185225672245875, "params": [[-0.35150000000000003], [0.3623]], "bitstrings": ["11111000", "11111010"], "total_optimization_steps": 40, "probabilities": [0.03490046796336431, 0.039157955251377066], "optimization_time": 2.3413333892822266} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + 1.75 * Z(5) + -1.0 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["11111010", "11111000"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.18819774766479871) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.18819774766479871) q[2];
cx q[1], q[2];
rz(0.9557972396968015) q[1];
rx(1.563801549934994) q[1];
h q[3];
cx q[0], q[3];
rz(0.4061575429734188) q[3];
cx q[0], q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IIIIIZZI",
"IIZIIZII",
"IIIZZIII",
"IZZIIIII",
"IZIZIIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
1.25,
-0.5,
0,
-0.25,
-0.5,
1.75,
-1,
-0.75,
0,
0.75
] | 0.90226 | [
0.18819774766479871,
0.4061575429734188,
-0.39507107261197827,
0.9557972396968014,
-0.4899844130103013,
0.8080302961898232,
0.8568281505616694,
-0.9522092767684763,
1.563801549934994,
0.3638837016850933,
0.5115046122872459,
-0.8854963185030021,
-2.014006815333632,
1.414161618397495,
1.20... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 383 |
-7689664516211218550 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 4, 5, 7], [1, 2, 3], [8, 5, 6], [0, 3, 4, 7], [8, 1, 2, 4], [0, 8], [0, 3, 5], [2, 3, 5, 6], [3, 6, 7], [1, 3, 4], [8, 1, 2, 7], [1, 4, 5], [0, 1], [8, 2, 3, 4], [1, 2, 6], [4, 6, 7], [0, 2, 3, 4], [8, 1, 3]]} | {"states": [187, 235], "expectation_value": -2.211968150749886, "params": [[0.2686], [-0.26880000000000004]], "bitstrings": ["101000100", "100010100"], "total_optimization_steps": 30, "probabilities": [0.006701227571461603, 0.007038393315734095], "optimization_time": 10.696087121963501} | 0.13333333333333333 * (Z(0) @ Z(2)) + 0.3 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.3 * (Z(7) @ Z(4)) + 0.05 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.283333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.199999999999998, "smallest_bitstrings": ["100010100"], "largest_eigenvalue": 16.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.010464843468360628) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.006574987716135988) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.06769608036496788) q[4];
cx q[0], q[4];
h q[5];
cx q[2], q[5];
rz(-0.01046484346836062... | OPENQASM 3.0;
include "stdgates.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",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIZIIIII",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IZIIIIIZI",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IZIIIZIII",
"IIIIIZIZI",
"... | [
0.13333333333333333,
0.3,
0.21666666666666667,
0.13333333333333333,
0.21666666666666667,
0.21666666666666667,
0.13333333333333333,
0.13333333333333333,
0.3,
0.05,
0.5,
0.5,
0.41666666666666663,
0.16666666666666666,
0.08333333333333333,
0.41666666666666663,
0.3333333333333333,
0.416... | 0.972007 | [
-0.010464843468360628,
0.006574987716135988,
-0.06769608036496788,
0.1587733991662242,
-0.023760681462061013,
-0.007815371533690968,
-0.026719592669847823,
0.037375680786088814,
-0.029380534719266743,
0.016703486617703583,
-1.4575962881499653,
-1.5875163940000518,
1.572534435176651,
1.5238... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -4.283333333333333,
"target_ratio": 0.97,
"target_value": -4.154833333333333
} | 107 |
aaa0b19e64bf3c35281517d1fd2e9593 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [0, 8], "expectation_value": -2.638233411820533, "params": [0.0028, 0.2878, 0.398, -0.0009000000000000001, 0.0013000000000000002, 0.30770000000000003, -0.0, -0.0819, 0.0032, -0.2882, 0.0018000000000000002, 0.2831, 0.3985, 0.0016, 0.0029000000000000002, 0.3118, 0.0066, -0.2802, 0.0028, -0.2848, 0.0032, 0.2761... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3) @ Z(1... | 16 | 5 | 4 | {"smallest_eigenvalues": [-3.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.125, "smallest_bitstrings": ["10111"], "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(0.3082490255491387) q[0];
cx q[1], q[0];
rz(-0.4813792428916286) q[0];
rx(-0.0708269652138156) q[0];
h q[2];
cx q[1], q[2];
rz(0.3082490255491387) q[2];
cx q[1], q[2];
rz(0.38370389231516544) q[1];
rx(-0.07082696521381568) q[1];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"ZIIZI",
"IZIZI",
"ZIZII",
"IZZII",
"ZZIII",
"ZIZZI",
"IZZZI",
"ZZIZI",
"ZZZII",
"ZZZZI",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-1,
-0.125,
-0.625,
-0.625,
-0.625
] | 0.977854 | [
0.3082490255491387,
0.3837038923151648,
-0.48137924289163025,
0.26332802912302594,
-0.07082696521381564,
-0.3050505286502088,
0.5806483285648956,
0.6562418208675107,
0.7543675324261974,
-0.03625229813212085,
0.44867521434950836,
0.9051415988683418,
0.9758359490263386
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 18 |
a0d9e7890df5adf810df05a9e670aeef | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 3}, {... | {"states": [219, 122], "expectation_value": -30.906453949255713, "params": [[-0.0442, -0.0006000000000000001, 0.0059, 0.0054], [0.0804, 0.06280000000000001, 0.055900000000000005, 0.0528]], "bitstrings": ["00100100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.02020777887050977, 0.024570295050361332... | 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(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 149.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.017090889001018697) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.017090889001018697) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.017090889001018697) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.017090889001018697) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10,
10.5,
14.5,
17.5,
18,
6,
9.5,
7.5
] | 0.977203 | [
0.017090889001018697,
-1.31275271389348,
-0.6179899020836164,
-0.9473448524233365,
-0.9718566134495752,
-1.9534931139208975,
0.11091533144665736,
-1.5054838273398576,
-0.45438682617188736,
-0.36004776093718105,
0.005611387507162821,
-0.3059111558774116,
1.007799926815668,
-0.77241128938593... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 90 |
da3c81488557dc57e6e1f0bd43d65336 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [0, 28], "expectation_value": -7.891721402908425, "params": [-0.8959, -0.8301000000000001, 0.0025, 0.0025, 0.0022, 0.0023, 0.0026000000000000003, 0.0026000000000000003, 0.0024000000000000002, 0.0028, 2.1386000000000003, 1.8149000000000002, 1.3193000000000001, -0.0023, 2.4881, 2.4532000000000003, 2.4109000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.0 * Z(4) + -1.0 * Z(3) | 14 | 5 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["00011"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(2.867085271407469) q[0];
rz(0.3043059900979084) q[0];
rx(0.09235165757558533) q[1];
rz(0.9535806604362476) q[1];
rx(-0.1119442096811765) q[2];
rz(1.1846710426102411) q[2];
rx(3.0988563508695517) q[3];
rz(0.5841200851268177) q[3];
rx(0.14325937118774348) q[4];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.983007 | [
2.867085271407469,
0.3043059900979084,
0.09235165757558533,
0.9535806604362476,
-0.1119442096811765,
1.1846710426102411,
3.0988563508695517,
0.5841200851268177,
0.14325937118774348,
-1.0539834988881036,
3.200641439537315,
0.13258606659300243
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 12 |
a0920f6fd063d6b549a981507890566f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target":... | {"states": [402, 403], "expectation_value": -6.4236189741098375, "params": [[0.0027, 0.5381, 1.0129000000000001, 0.0017000000000000001, -0.0027, 1.5851000000000002, -0.0023, -0.0067, 1.0463, 0.7773], [0.0026000000000000003, 1.6062, 1.5959, 0.0017000000000000001, 0.0019, 1.5865, -0.0023, 0.0016, 1.2549000000000001, 1.60... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(9) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["1011100100", "1001101100"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.28525197722376505) q[0];
ry(0.3017112071670184) q[1];
ry(0.2711981215006877) q[2];
ry(-0.002939571268507926) q[3];
ry(0.01400621278092664) q[4];
ry(1.6196996932918293) q[5];
ry(0.032071452048901744) q[6];
ry(-0.11955745533723304) q[7];
ry(0.8651577817281322) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZIIIIZ",
"IZIIIIIIIZ",
"IZIIIIZIII",
"IIZIIIIIZI",
"IIZIIIZIII",
"IZZIIIIIII",
"IIZZIIIIII",
"IIIZIIIZII",
"IIIIIZZIII",
"IIIIZZIIII",
"IZIIIZIIII",
"ZIIIIZIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII",
"IZIIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-2,
-0.5,
-1.5,
-1.5,
-0.5,
0,
-1.5,
0
] | 0.97576 | [
0.28525197722376505,
0.3017112071670184,
0.2711981215006877,
-0.002939571268507926,
0.01400621278092664,
1.6196996932918293,
0.032071452048901744,
-0.11955745533723304,
0.8651577817281322,
0.005769836207784457,
-0.3021103683765116,
3.0752980995714037,
2.342631319204031,
-0.2016269057186774... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 19 |
58d5079ae810098a08bdc89e8c7451de | 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": [694, 678], "expectation_value": -92.26698996554974, "params": [0.0017000000000000001, 0.8795000000000001, 1.304, 0.1545, 0.47640000000000005, 0.4843, 1.2968, 0.2526, 0.5265000000000001, 0.5314, 1.3032000000000001, 0.22840000000000002, 0.8377, 0.4521, 0.3013, 0.6215, 1.3057, 0.0024000000000000002, 1.3045, -0... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(9) @ Z(6)) + 6.5 * (Z(7) @ Z(9)) + 6.5 * (Z(8) @ Z(2)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(8) @ Z(7)) + -6.0 * Z(0) + 13.5 * Z(1) + 15.5 *... | 18 | 11 | 2 | {"smallest_eigenvalues": [-123.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -107.0, "smallest_bitstrings": ["10101011001"], "largest_eigenvalue": 181.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.004741908758005134) q[0];
rz(1.178078153926272) q[0];
rx(1.4099044476898814) q[1];
rz(0.08493954916519236) q[1];
rx(0.1534886328834882) q[2];
rz(0.31951759237716565) q[2];
rx(1.3691705453322542) q[3];
rz(0.3555525046629098) q[3];
rx(-0.0802711898770603) 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"IZIIIIIIIZI",
"IZIIZIIIIII",
"IZIZIIIIIII",
"IIZIIIIIZII",
"IZZIIIIIIII",
"IIZZIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"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,
13.5,
15.5,
2.5,
3,
15,
9.5,
22.5,
0.5,
12.5,
-8
] | 0.974449 | [
-0.004741908758005134,
0.9839058331663048,
1.4099044476898814,
0.08493954916519236,
0.1534886328834882,
0.31951759237716565,
1.3691705453322542,
0.3555525046629098,
-0.0802711898770603,
0.7323573963777614,
1.7543089200932638,
0.043201001083021606,
0.28794203241515026,
0.618826706399689,
... | {
"n_parameters": 62,
"n_qubits": 11,
"optimal_eigenvalue": -123,
"target_ratio": 0.97,
"target_value": -119.31
} | 15 |
f6cdf6caae833c575489bb2b7a623058 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 4}, {"weight": 15, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 2}, {... | {"states": [122, 118], "expectation_value": -25.349815804756123, "params": [[0.0352, 0.008, -0.0102], [-0.0819, -0.065, -0.053700000000000005]], "bitstrings": ["10000101", "10001001"], "total_optimization_steps": 10, "probabilities": [0.014827302248483531, 0.017365607686456976], "optimization_time": 5.878480672836304} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 8.5 * Z(0) + 16.0 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 140.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.124759052725892) q[0];
rz(-pi) q[0];
ry(-3.0854626450991742) q[1];
rz(-pi) q[1];
ry(-0.03369902748015139) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4369841717910352) q[3];
ry(-0.03369902748015139) q[4];
rz(-pi) q[4];
h q[5];
ry(1.504625431852586) q[5];
cx q[5], q[0];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"ZIIIIZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
15.5,
8.5,
16,
13,
11.5,
6,
15.5,
2.5
] | 0.995276 | [
-1.5205674065543304,
-1.4762215588150907,
1.504625431852586,
1.4369841717910352,
-0.10005583704498788,
0.23395710827992075,
0.2788948906500424,
0.02008177290338363,
0.0009735704753418978,
-0.03305978552082959,
-0.11837486768070965
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
6de3ca972134e3b2df718cabf76739a9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [56, 49], "expectation_value": -4.9999374822341585, "params": null, "bitstrings": ["000111", "001110"], "total_optimization_steps": 26, "probabilities": [1.6356494444747167e-05, 0.9999687417661175], "optimization_time": 22.289201498031616} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9895735627532725) q[0];
rz(-pi) q[0];
h q[1];
ry(1.649206030902672) q[1];
cx q[1], q[0];
ry(0.020750894699326963) q[0];
cx q[1], q[0];
ry(0.06475921605593957) q[1];
ry(-0.025621518648993244) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08561498708161709) q[3];
h q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IZIIZI",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-2,
0,
-1
] | 0.9963 | [
-1.588799124059266,
-1.6939350649793659,
-1.4943029822572422,
1.649206030902672,
1.4395281306577028,
-0.10174365177732247,
-0.04150178939865393,
0.14037315026251265,
0.12951843211187913,
0.07504750220570425,
0.07097634417369998,
-0.03891395490893547,
-0.02859920646304469,
-0.09101380963563... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
6127224946031228756 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5], [2, 5, 7], [2, 4, 5, 6], [0, 4], [0, 2, 3], [1, 3, 5], [1, 2, 6], [3, 7]]} | {"states": [60, 62], "expectation_value": -2.589564117227163, "params": null, "bitstrings": ["11000011", "11000001"], "total_optimization_steps": 56, "probabilities": [0.10424259437397847, 0.6701494795421118], "optimization_time": 79.40965676307678} | 0.5 * (Z(0) @ Z(5)) + 0.25 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.25 * (Z(6) @ Z(2)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7500000000000004, "smallest_bitstrings": ["11000001"], "largest_eigenvalue": 6.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.18995867787847887) q[0];
h q[1];
ry(-0.4230656595770359) q[1];
h q[2];
ry(1.622561632031594) q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
ry(0.18995867787847887) q[0];
cx q[5], q[0];
ry(-0.26864938092773666) q[0];
cx q[4], q[0];
ry(0.26864938092773666) q[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(1.5158) 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];\nc[6] = measure q[... | [
"IIZIIIIZ",
"IIZIIZII",
"IIIIIZIZ",
"ZIZIIIII",
"ZIIIIZII",
"IIZZIIII",
"IIIZIIIZ",
"IIIZIZII",
"IZZIIIII",
"IZIIIZII",
"IZIZIIII",
"IIZIZIII",
"IIIIZIIZ",
"IIIIZZII",
"ZIIIZIII",
"IIZIIIZI",
"IIIIIZZI",
"IZIIIIZI",
"IIIIZIZI",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIII... | [
0.5,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.1... | 0.972429 | [
1.622561632031594,
-0.37991735575695773,
1.316144403975403,
-0.5372987618554733,
1.1293899689851679,
-0.34712928996413933,
0.9846409557588621,
-0.6739443628918341,
-0.42936667536802214,
0.5018576470479625,
0.0702327972285419,
-0.20487462744366736,
0.4843931534512211,
-0.6247675688920544,
... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -2.8333333333333335,
"target_ratio": 0.97,
"target_value": -2.7483333333333335
} | 24 |
3b37ad6154eb4e67d2d2dbbac7bc63c9 | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -9.330556677614476, "params": [0.006, -0.1612, 0.0005, -0.2305, 0.004, -0.2131, -0.001, -0.2883, 0.0045000000000000005, -0.2639, 0.0012000000000000001, -0.2899, 0.0029000000000000002, -0.2899, 0.004, -0.2938, 0.0054, -0.1291, 0.0013000000000000002, -0.20600000000000002, 0.0037, -... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + 2.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(2)) + -0.25 * (Z(9) @ ... | 5 | 10 | 2 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.24651892900338027) q[0];
rz(-0.02611339524679801) q[0];
rx(-0.08720750038353253) q[1];
rz(-0.22837279392176768) q[1];
rx(0.06986892087623345) q[2];
rz(-0.28365813621906444) q[2];
rx(-0.023102080197568476) q[3];
rz(-0.28390828318081596) q[3];
rx(0.00482774705185674... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IZIIIIIIIZ",
"IZIIZIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIZIIIIZI",
"IZIZIIIIII"... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
2.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
1.5,
-0.25,
-1.25,
-0.5,
-0.75,
-1,
0.75,
0.25,
0,
1.25
] | 0.98196 | [
0.24651892900338024,
0.04962451481698661,
-0.08720750038353253,
-0.2686381492775718,
0.06986892087623346,
-0.3252021172121549,
-0.023102080197568473,
-0.3340835897969235,
0.004827747051856748,
-0.20402837193314885,
-0.00013363742941381249,
-0.14083589967920682,
0.024151235776961523,
-0.227... | {
"n_parameters": 84,
"n_qubits": 10,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 9 |
0baf743d2b6cfc8b6e600b5313918496 | min_cut | 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": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}, {"capaci... | {"states": [1, 15], "expectation_value": -0.44771787613829317, "params": [[-0.013600000000000001, -0.0475, -0.051000000000000004], [-0.0356, 0.044000000000000004, 0.057800000000000004]], "bitstrings": ["111110", "110000"], "total_optimization_steps": 10, "probabilities": [0.021355461968389246, 0.021626698168862143], "o... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(7.90274469494533e-08) q[0];
ry(-0.7853982620761846) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2293320178321785) q[2];
h q[3];
ry(0.7853981303022892) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7853981303022892) q[3];
cx q[4], q[3];
ry(0.6154797374613742) q[4];
cx q[3], 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": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.5,
-0.5,
-0.5,
-1.25,
-1.25,
1.25,
-0.75,
-1,
-0.25,
0,
0.25,
0.5,
0.5
] | 0.961538 | [
1.580548938989066e-7,
1.5707962936941358,
-1.5707964113743622,
1.5707962606045784,
1.2309594749227484,
2.458664035664357,
-6.36184063154341e-8,
-0.7758827152746062,
0.6829287142011918,
-0.7949136334328287,
-0.6410930540584571,
-0.852030693606311,
0.6410931018832451,
0.5966596957061975,
0... | {
"n_parameters": 19,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 341 |
-2286651177694543539 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4, 5], [0, 6], [1, 3, 5], [0, 2, 5], [3, 4, 6], [0, 1, 2, 4], [1, 3, 4], [2, 4, 6], [2, 3]]} | {"states": [51, 78], "expectation_value": -0.07518849037207254, "params": [[0.06420000000000001], [-0.0623]], "bitstrings": ["1001100", "0110001"], "total_optimization_steps": 10, "probabilities": [0.008403751870388033, 0.008448853913779959], "optimization_time": 3.9675209522247314} | 0.41666666666666663 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(4))... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.583333333333333, "smallest_bitstrings": ["0110001"], "largest_eigenvalue": 7.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-0.048850247460786686) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(0.007533481330137762) q[5];
cx q[4], q[5];
cx q[1], q[5];
cx q[4], q[0];
rz(0.01914884023641202) q[0];
cx q[4], q[0];
rz(-0.033531461102861565... | 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": []} | [
"IIZIIZI",
"IZZIIII",
"IZIIIZI",
"IIZIIIZ",
"IIIIIZZ",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZZIII",
"IIIZIZI",
"IZIZIII",
"ZIIZIII",
"IIZIZII",
"IIIIZZI",
"IZIIZII",
"IIIIZIZ",
"ZIIIZII",
"IIIZZII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"III... | [
0.41666666666666663,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666,
0.25,
... | 0.699364 | [
-0.048850247460786686,
0.007533481330137762,
-0.033531461102861565,
0.01914884023641202,
1.2976745058437005,
0.011216090804109968,
1.5852408930765303,
-1.6767119196527536,
0.3898347609895406,
-1.187419303955196,
-1.213330154774481
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -2.833333333333334,
"target_ratio": 0.97,
"target_value": -2.748333333333334
} | 287 |
159605454403235196 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 4], [1, 5], [1, 4], [0, 4], [2, 5]]} | {"states": [3, 60], "expectation_value": -0.038874619264913965, "params": [[-0.062200000000000005], [0.06330000000000001]], "bitstrings": ["111100", "000011"], "total_optimization_steps": 10, "probabilities": [0.016863170773728703, 0.016863170773728703], "optimization_time": 0.5400791168212891} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["111100", "000011"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.8563570474580628) q[3];
cx q[4], q[3];
rz(-1.436908636520684e-08) q[3];
rx(0.7853981609354627) q[3];
cx q[4], q[1];
rz(-0.8563570474580628) q[1];
cx q[4], q[1];
cx q[4], q[0];
rz(-0.8563570474580628) q[0];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx q[4], q[0];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IZZIII",
"IZIIZI",
"ZIIIZI",
"IZIIIZ",
"ZIIZII",
"IZIIII",
"IIZIII",
"IIIIZI",
"ZIIIII",
"IIIIIZ",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.521919 | [
-0.8563570474580628,
-1.4369086258893028e-8,
0.7853981609354627
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 101 |
3bcfe4648282d1b3b76d6f42e87e5c5d | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [109, 115], "expectation_value": -2.838724855327932, "params": null, "bitstrings": ["10010010", "10001100"], "total_optimization_steps": 52, "probabilities": [0.08383982851123065, 0.6270265834518883], "optimization_time": 127.00760269165039} | 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 ... | 1 | 8 | 4 | {"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... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"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 |
875432ff472df3f44dd39cf730465f12 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6},... | {"states": [895, 1023], "expectation_value": -16.29771069841626, "params": null, "bitstrings": ["10010000000", "10000000000"], "total_optimization_steps": 100, "probabilities": [0.10203759985498607, 0.27700712377299286], "optimization_time": 298.0301921367645} | -2.5 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(6)) + 1.0 * (Z(9) @ Z(7)) + -2... | 1 | 11 | 1 | {"smallest_eigenvalues": [-37.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.0, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-1.7054582287625015) q[0];
h q[1];
ry(0.557117933089589) q[1];
h q[2];
ry(0.557117933089589) q[2];
h q[3];
h q[4];
ry(0.580457539941332) q[4];
h q[5];
h q[6];
ry(0.8151301971343958) q[6];
h q[7];
ry(0.13114309895117693) q[7];
h q[8];
ry(0.7804193982905817) q... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] 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];\ncry(1.5708) q[9], q[10];\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... | [
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IIIIIIZIIZI",
"IIIIIZIZIII",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIIIIZZII",
"IIIIIIIIZZI",
"IIIIIIZIZII",
"IIIIIZIIZII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZIIZIIIIIII",
"ZIIIZIIIIII",
"ZIZIIIIII... | [
-2.5,
-2.5,
-2,
-2.5,
-2.5,
1,
-2.5,
1,
0.5,
-2,
-2.5,
-2,
-2.5,
1,
-2.5,
1,
-2.5,
-2.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.924178 | [
1.114235866179178,
1.6302603942687917,
1.5608387965811634,
0.26228619790235386,
1.9094237898753192,
-0.19306760958541364,
-0.4857301434265193,
-0.10006014406834014,
1.4410019044417655,
-2.44931597166335,
0.6239127073981797,
1.234535953749743,
1.3881742430674677,
0.04415719719620012,
0.07... | {
"n_parameters": 92,
"n_qubits": 11,
"optimal_eigenvalue": -37,
"target_ratio": 0.97,
"target_value": -35.89
} | 500 |
4413b37b42a52e52110e0d852f104f23 | 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": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [298, 362], "expectation_value": -6.374666508365889, "params": [[0.7868, 0.0033, 0.4912, 0.552, 0.0068000000000000005, 0.7943, -0.0051, 0.7949, 0.0134], [0.788, 0.0035, 0.8, 0.7982, -0.0082, 0.7942, 0.0004, 0.7946000000000001, 0.0033], [0.7894, 0.0031000000000000003, 0.24810000000000001, 0.2632, 0.0052000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 *... | 10 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["110000101", "110001100", "010010101"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.4762485381117262) q[0];
ry(0.11441216969515496) q[1];
ry(0.5639393773605262) q[2];
ry(0.31160517758163) q[3];
ry(-0.07723985968703595) q[4];
ry(0.8052714883015335) q[5];
ry(0.02906965737557047) q[6];
ry(0.7961573623639021) q[7];
ry(-0.009948935563573805) q[8];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"ZIIIIIIIZ",
"IIIIZIIZI",
"ZIIIIIIZI",
"IIIIIIZZI",
"ZIIZIIIII",
"IIIZIIIZI",
"IZIIIIIZI",
"IIIIIZIZI",
"IIZIZIIII",
"IIZIIIZII",
"IIZZIIIII",
"IZZIIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIZIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-2.5,
-0.5,
-1,
-0.5,
0,
-1.5
] | 0.97219 | [
0.4762485381117262,
0.11441216969515496,
0.5639393773605262,
0.31160517758163,
-0.07723985968703595,
0.8052714883015335,
0.02906965737557047,
0.7961573623639021,
-0.009948935563573805,
0.9128380184078377,
-0.21591627974145572,
1.135089216499882,
1.2070907371673343,
-0.021446354475342544,
... | {
"n_parameters": 34,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 11 |
dddd2c6c503a97ade6b445e6815c4f85 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [0, 1], "expectation_value": -16.90305210248888, "params": [0.0033, 0.331, -0.0028, 0.451, 0.0001, 0.4219, 0.0008, 0.4551, 0.0027, 0.45370000000000005, 0.0014, 0.44980000000000003, 0.6, 0.0081, 0.0039000000000000003, 0.29710000000000003, -0.0021000000000000003, 0.4565, 0.0077, 0.36300000000000004, 0.0056, 0.... | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 3 | 7 | 3 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.3835829982735985) q[0];
h q[1];
ry(-0.23054234387346784) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.6609807137639119) q[3];
h q[4];
ry(-1.6609807137639119) q[4];
h q[5];
h q[6];
ry(1.5858095443127922) q[6];
cx q[6], q[0];
ry(0.3835829982735985) q[0];
cx q[6], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIZIZI",
"IIZIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
-1.5,
-1,
-1,
-0.5,
-1.5,
-1,
-0.5,
-1.25,
-1.5,
-0.5,
-0.75,
4.25,
-0.25,
-4.5,
-0.25,
1,
-0.5,
0,
0.25,
4
] | 0.980551 | [
-1.4098882403195747,
1.5858095443127922,
-0.767165996547197,
-0.5539265111555969,
0.13926851479629185,
-0.11045327377191261,
-0.34994570639390055,
-1.6609807137639119,
-0.0033508676810675153,
-0.2813424644813915,
1.1199313195889984,
1.411419348927798,
-0.0019517279154879635,
0.706605540424... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 23 |
bd53ef77fd6623e9c326cf57ce2d586e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [0, 1008], "expectation_value": -0.5662161963091181, "params": [[0.031400000000000004], [-0.0239]], "bitstrings": ["1111111111", "0000001111"], "total_optimization_steps": 10, "probabilities": [0.0011173454096420775, 0.0011353550393944172], "optimization_time": 3.8669185638427734} | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 1.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -3.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(3)) + -3.0 * (Z(2) @ Z(4)) + -2.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -2.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-30.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["0000001111"], "largest_eigenvalue": 39.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.49473612642358644) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.49473612642358644) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-1.1334535912224393) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.16748196299338758) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZIIZII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IZIZIIIIII"... | [
-3,
-3,
-2,
1.5,
-2.5,
-2.5,
-3,
1,
1,
-3,
-2.5,
0.5,
0.5,
0.5,
-2,
-2.5,
-2.5,
1,
-2.5,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
2,
-2,
-2,
-2
] | 0.584287 | [
-0.49473612642358644,
-1.1334535912224393,
-0.16748196299338758,
-0.620883343759781,
-0.09754649995486488,
-0.04683078206202665,
-1.0288711500293581,
-1.0501323728841176
] | {
"n_parameters": 8,
"n_qubits": 10,
"optimal_eigenvalue": -30,
"target_ratio": 0.97,
"target_value": -29.099999999999998
} | 211 |
e8682d15a47baf43b69c6a7c2f587149 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1340, 1324], "expectation_value": -129.81949899900218, "params": [0.7923, 0.2197, 0.1824, 0.40840000000000004, 0.7873, 0.010400000000000001, 0.0022, 0.522, -0.0046, 0.49660000000000004, 0.7938000000000001, 0.09630000000000001, 0.34540000000000004, 0.2472, 0.7898000000000001, 0.007, 0.7864, 0.005800000000000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(5) @ Z(8)) + 7.5 * (Z(5) @ Z(7)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(6) @ Z(2)) + 7.5 * (Z(6) @ Z(8)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(10) @ Z(0)) + 4.5 * Z(1) + 9.5 * Z(0) + -6.5 * ... | 18 | 11 | 4 | {"smallest_eigenvalues": [-140.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -119.0, "smallest_bitstrings": ["01011010011"], "largest_eigenvalue": 184.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.7528004893452274) q[0];
rz(0.36622366478155133) q[0];
rx(0.18547089643590203) q[1];
rz(0.347452303422238) q[1];
rx(0.7434038316441967) q[2];
rz(0.1545913187897794) q[2];
rx(0.1537427160835258) q[3];
rz(0.6299972526142654) q[3];
rx(0.2163675055339554) q[4];
rz(0.62... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIZIIIIIIZI",
"IIZZIIIIIII",
"IIZIIZIIIII",
"IIIZIZIIIII",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IIZIZIIIIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IZIZIIIIIII",
"ZIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIZIIIIIIII",
"IIIZIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
4.5,
9.5,
-6.5,
10,
20.5,
23.5,
23.5,
-6.5,
17,
-6,
-3
] | 0.973336 | [
0.7528004893452273,
0.29653777766867573,
0.18547089643590203,
0.347452303422238,
0.7434038316441967,
0.1545913187897794,
0.1537427160835258,
0.6299972526142654,
0.2163675055339554,
0.6284979084651006,
0.9006815329612217,
-0.07294746841587686,
-0.026977031252931938,
0.035523571007907956,
... | {
"n_parameters": 122,
"n_qubits": 11,
"optimal_eigenvalue": -140,
"target_ratio": 0.97,
"target_value": -135.79999999999998
} | 7 |
836c884d7f0cabd4f561d6ff6961863c | 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": 6}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 4, "source": 1, ... | {"states": [125, 127], "expectation_value": -0.7449060651234021, "params": [[-0.0597], [0.06380000000000001]], "bitstrings": ["10000010", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005501043134021596, 0.005561290268825004], "optimization_time": 2.725130081176758} | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -1.0 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(4)) + -1.5 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(7)) + -0.75 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["10000000", "10000010"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.0007449686660264999) q[0];
ry(0.09606353606685049) q[1];
ry(0.0006507474146606532) q[2];
ry(-0.021672324536409323) q[3];
ry(0.02495703531247307) q[4];
ry(-0.009483672816795088) q[5];
ry(0.10199381422246338) q[6];
ry(0.09246377246176307) q[7];
cx q[7], q[0];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IZIIIIIZ",
"IIIIZIZI",
"IZIZIIII",
"IIIZZIII",
"IIIZIIZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIIZIIII",
"IIIIIZZI",
"IIIZIZII",
"ZIIIIZII",
"IZZIIIII",
"IIZZIIII",
"IIZIIZII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIZIIII",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII"
] | [
-0.5,
-0.75,
-0.5,
-1,
-1.75,
0.75,
-1,
-1.25,
-1.5,
-1.25,
-1.25,
-0.75,
-1.75,
-0.5,
-0.75,
-0.25,
0.25,
0,
-0.5,
-2.75,
2,
2
] | 0.973359 | [
0.0007449686660264999,
0.09606353606685049,
0.0006507474146606532,
-0.021672324536409323,
0.02495703531247307,
-0.009483672816795088,
0.10199381422246338,
0.09246377246176307,
0.9196006079285015,
-0.18722588087365208,
0.03610809075229482,
-0.032238460983527326,
0.05443916473844061,
0.08398... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 16 |
d43453685b1c72da1e89a0cf4ce7db6e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [993, 865], "expectation_value": -100.23140500156396, "params": [0.0024000000000000002, 0.0057, 2.7959, 0.001, 2.7936, 0.0036000000000000003, 1.5487, 0.004200000000000001, 2.8031, 0.004, 2.7932, 0.0006000000000000001, 0.9865, 0.0017000000000000001, -0.0017000000000000001, 0.0015, 0.0025, 0.0059, 0.4262, 0.00... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(8) @ Z(1)) + 7.0 * (Z(9) @ Z(2)) + 7.0 * (Z(9) @ Z(4)) + 7.0 * (Z(7) @ Z(10)) + 23.5 * Z(2) + 14.5 * Z(1) + 11.5 * Z(3) + 21.0 * Z(4) +... | 18 | 11 | 1 | {"smallest_eigenvalues": [-119.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -115.0, "smallest_bitstrings": ["10010011110"], "largest_eigenvalue": 187.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.10305076701054372) q[0];
rz(-0.28624902868285407) q[0];
rx(2.922733668414468) q[1];
rz(0.032197321923542646) q[1];
rx(3.27405066607365) q[2];
rz(-0.5982993282954222) q[2];
rx(0.5615569196932092) q[3];
rz(-0.31487782307167234) q[3];
rx(3.0479157519882225) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIIIIIZIZI",
"IIIIIIZIZII",
"IIIIZIZIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIZIIIIIIZI",
"IZIIIIIIZII",
"IZIIIIZIIII",
"ZIIZIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
23.5,
14.5,
11.5,
21,
4.5,
15.5,
-3.5,
0.5,
0,
-2,
-13.5
] | 0.973283 | [
0.10305076701054373,
-0.2057704543918018,
2.922733668414468,
0.032197321923542646,
3.27405066607365,
-0.5982993282954222,
0.5615569196932092,
-0.31487782307167234,
3.0479157519882225,
-0.4226018601317896,
3.1364347128301286,
-0.27860363656722736,
0.2315805902637301,
0.31411015166528755,
... | {
"n_parameters": 30,
"n_qubits": 11,
"optimal_eigenvalue": -119,
"target_ratio": 0.97,
"target_value": -115.42999999999999
} | 14 |
3555833434836637574 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [1, 6], [1, 7], [4, 7], [5, 6], [2, 3], [2, 5], [0, 2], [1, 3], [6, 7], [1, 5], [2, 7], [0, 6]]} | {"states": [97, 106], "expectation_value": -3.94380603977992, "params": null, "bitstrings": ["10011110", "10010101"], "total_optimization_steps": 62, "probabilities": [0.029950367816794606, 0.8090765341284627], "optimization_time": 97.30608105659485} | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["01101010", "10010101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.6126771909650742) q[0];
h q[1];
ry(0.8671975839655258) q[1];
h q[2];
h q[3];
ry(-0.19936208907665126) q[3];
cx q[2], q[3];
ry(0.19936208907665126) q[3];
cx q[2], q[3];
ry(-0.4276634348774372) q[3];
ry(1.5151670760833158) q[2];
cx q[2], q[1];
ry(-0.86719758... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"ZIZIIIII",
"ZIIIIIZI",
"IIZIIIZI",
"ZZIIIIII",
"IZZIIIII",
"IZIIIIZI",
"ZIIZIIII",
"ZIIIIZII",
"IIZIIZII",
"IIIIZIZI",
"IIIIZZII",
"IZIIIIIZ",
"IIIIIZIZ",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIIIIIIZ"
] | [
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
] | 0.976758 | [
-0.3987241781533025,
1.5151670760833158,
1.7343951679310516,
-0.8553268697548744,
-1.3943545081500037,
-1.2253543819301485,
1.4658828269976538,
-0.8442036772311808,
1.31117623313081,
-0.0012248264666442057,
0.016598309377761057,
-0.11582386274369075,
-0.13818533959803675,
-0.08347382680905... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 11 |
7137161140487166026 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 4, 9], [2, 4], [3, 6], [4, 5], [8, 7]]} | {"states": [298, 810], "expectation_value": -2.0632817101549192, "params": null, "bitstrings": ["1011010101", "0011010101"], "total_optimization_steps": 87, "probabilities": [0.18168761361735536, 0.28117355914010106], "optimization_time": 130.679301738739} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(9) @ Z(1)) + 0.08333333333333333 * (Z(9) @ Z(0)) + 0.08333333333333333 * (Z(9) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.12... | 1 | 10 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["0000101100", "0000101010", "0111010100", "0111010010", "1010011010", "0110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.28058479795388985) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.28058479795388985) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.28058479795388985) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[6], q[3];
rz(-1.339546224... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(-1.0342) 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] = meas... | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"IIIIIZIZII",
"IIIZIIZIII",
"IIIIZZIIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"ZIIIIIIIII",
"IIIIIIIZII",
"IIIZIIIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IZIIIIIIII"... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0,
0,
0,
0,
0,
0
] | 0.759789 | [
-0.28058479795388985,
-1.339546224721946,
-0.6022843365060098,
0.02358012960000636,
0.7914359414096767
] | {
"n_parameters": 5,
"n_qubits": 10,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 134 |
-2449220978883315878 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [1, 2, 6, 7], [0, 4], [0, 2], [0, 6, 7], [1, 2, 4, 7], [0, 1], [0, 3, 5], [1, 3], [1, 2, 5, 6], [2, 3, 5, 7], [4, 5, 6, 7], [0, 5, 6]]} | {"states": [109, 110], "expectation_value": -0.10587902157582896, "params": [[-0.0589], [0.0703]], "bitstrings": ["10010010", "10010001"], "total_optimization_steps": 10, "probabilities": [0.0043033975959010165, 0.00433164893437119], "optimization_time": 0.9317677021026611} | 0.5 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.749999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.6329396137779018) q[3];
cx q[4], q[3];
cx q[4], q[1];
rz(0.1808680289704988) q[1];
cx q[4], q[1];
cx q[3], q[1];
rz(-0.6329396137779018) q[1];
cx q[3], q[1];
cx q[4], q[2];
rz(0.1808680289704988) q[2];
cx q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"IIIZIIZI",
"IIIIZIZI",
"IIIZIZII",
"IIIIZZII",
"IIIIIZZI",
"IZIZIIII",
"IZIIIIZI",
"IZIIIZII",
"ZIIZIIII",
"ZIIIZIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZZIIIIII",
"IIIZIIIZ",
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIIZIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIZZIIII",
"IIZIZIII",
"IIZIIIZ... | [
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.25,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.5,
0.33333333333... | 0.559729 | [
-0.6329396137779018,
0.1808680289704988,
-0.12178007702194944,
-0.0008553429385570757,
-0.22394355311220157,
-0.24374830197555394,
0.5085751335054487,
-1.0564211842158933,
-1.2915086013955794,
0.8744426141688094
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -3.749999999999999,
"target_ratio": 0.97,
"target_value": -3.637499999999999
} | 237 |
e0b9c24fb45ae4a4b516382818d3356a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 888], "expectation_value": -16.11406779545355, "params": [-0.4587, 0.7503000000000001, 0.2346, 0.7311000000000001, -0.45480000000000004, 0.802, -0.3829, 0.8455, 0.0046, 0.5438000000000001, -0.0108, 0.5327000000000001, -0.4335, 0.8964000000000001, -0.4273, 1.0415, 0.3779, -0.0877, 0.044700000000000004, 0.... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + -2.5 * (Z(2) @ Z(7)) + 1.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 *... | 6 | 10 | 4 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["0010000111"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.5987397247527203) q[0];
rz(1.5565654866125067) q[0];
rx(1.3414863476265921) q[1];
rz(2.5228131811269066) q[1];
rx(-0.07282720449465764) q[2];
rz(2.321246976446698) q[2];
rx(1.0142480694764038) q[3];
rz(2.7706556272319256) q[3];
rx(0.30758239959314104) q[4];
rz(2.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IZZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZIZIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"IIIIIIIZII"... | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-2,
0.5,
-2.5,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-2,
-1.5,
-1.5
] | 0.966147 | [
0.5987397247527204,
-0.01423084018238982,
1.341486347626592,
0.9520168543320097,
-0.07282720449465765,
0.7504506496518019,
1.0142480694764036,
1.1998593004370293,
0.30758239959314104,
0.6038592587708639,
1.4201961472795583,
1.5295534632059757,
0.41169821835850856,
0.5074645511839991,
0.1... | {
"n_parameters": 148,
"n_qubits": 10,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 500 |
51b2e32c5f0b0ad4a9a3e5f1ef3bba66 | 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": 2, "target": 5}, {"source": 2, "target": 7}, {"source": 2, "target": 9}, {"source": 3, "target":... | {"states": [0, 384], "expectation_value": -40.35471184367812, "params": [1.1505, 0.8461000000000001, 0.18560000000000001, 0.0056, 1.1212, -2.5135, 0.2883, 0.002, -0.0059, 2.7045000000000003, -0.002, 0.0078000000000000005, -1.0230000000000001, 0.8453, 0.2767, 0.009000000000000001, 0.0014, 0.4214, 0.0013000000000000002, ... | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(6)) + -3.5 * (Z(8) @ Z(6)) + -3.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(8)) + 1.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -4.0 * (Z(4) @ Z(8)) + -2.5 * (Z(4) @ Z(3)) + -3.5 * (Z(5) @ Z(6)) + 1.5 * (Z(5) @ Z(2)) + -4.0 * (Z(5) @ Z(8)) + -3.5 * (Z(5) @ Z(3)) + 1.5... | 6 | 9 | 1 | {"smallest_eigenvalues": [-41.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.5, "smallest_bitstrings": ["001111111"], "largest_eigenvalue": 33.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.3997121042224512) q[0];
rz(1.4819857014106148) q[0];
rx(-0.6814063427213722) q[1];
rz(2.413562535142031) q[1];
rx(-0.2054815709244816) q[2];
rz(1.8744629415494316) q[2];
rx(-0.06032141017990702) q[3];
rz(2.1960195907377766) q[3];
rx(-0.015280862923008912) 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[... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIZIIIZII",
"ZIZIIIIII",
"ZIIIIIZII",
"IIZIIZIII",
"ZIIIIZIII",
"IIZIZIIII",
"IIIIZIZII",
"ZIIIZIIII",
"IIIIZZIII",
"IIZZIIIII",
"IIIZIIZII",
"ZIIZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IZZIIIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IZIIIZIII",
"IZIIZIIII",
"IZIZIIIII",
"... | [
-1,
-3,
-3.5,
-3.5,
0.5,
1,
1,
0.5,
-4,
-2.5,
-3.5,
1.5,
-4,
-3.5,
1.5,
-3.5,
1.5,
-3.5,
1,
-3.5,
-3.5,
0.5,
0.5,
2.5,
-2.5,
-3,
1,
1.5,
-3,
-3
] | 0.976301 | [
-0.3997121042224511,
-0.08881062538428311,
-0.6814063427213723,
0.842766208347133,
-0.2054815709244816,
0.30366661475453494,
-0.06032141017990702,
0.6252232639428812,
-0.015280862923008912,
0.8594620645505905,
-0.04411238302805447,
0.9782403956433755,
-0.026733118017225346,
0.3909254278110... | {
"n_parameters": 130,
"n_qubits": 9,
"optimal_eigenvalue": -41.5,
"target_ratio": 0.97,
"target_value": -40.254999999999995
} | 40 |
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