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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
-8807222220196715805 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1], [2, 3, 4, 5], [8, 2], [0, 3], [1, 2, 3, 5, 6], [2, 3, 5, 7], [3, 4, 6], [0, 6], [2, 4, 6], [1, 3, 7], [0, 1, 2, 4, 5]]} | {"states": [252, 236], "expectation_value": -2.52728766626599, "params": [0.8703000000000001, 0.0414, 0.21250000000000002, 0.0086, 1.1004, -0.09190000000000001, 1.0982, 0.0068000000000000005, 1.1049, -0.1073, 1.1024, 0.0018000000000000002, 1.1025, -0.0999, 1.0962, 0.009600000000000001, 1.0712000000000002, 0.38130000000... | 0.5 * (Z(8) @ Z(1)) + 0.1 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.21666666666666667 * (Z(3) @ Z(1)) + 0.21666666666666667 * (Z(3) @ Z(2)) + 0.05 * (Z(4) @ Z(1)) + 0.3 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + 0.1 * (Z(5) @ Z(1)) + 0.26666666666666666 * (Z(5) @ Z(2)) + 0.21666666666666667 * (Z(5) @ Z(3)) + 0.1333333333... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.7], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.533333333333333, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 9.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(-0.6593567612457101) q[8];
cx q[1], q[8];
cx q[1], q[2];
rz(1.2536987216472255) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.009898642484866972) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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",
"IIIIIIZZI",
"ZIIIIIZII",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZIZIIII",
"... | [
0.5,
0.1,
0.5,
0.21666666666666667,
0.21666666666666667,
0.05,
0.3,
0.25,
0.1,
0.26666666666666666,
0.21666666666666667,
0.13333333333333333,
0.05,
0.05,
0.5,
0.05,
0.05,
0.05,
0.21666666666666667,
0.21666666666666667,
0.3333333333333333,
0.05,
0.5,
0.16666666666666666,... | 0.628945 | [
-0.6593567612457101,
1.2536987216472255,
-0.009898642484866972,
-0.0062559618293432555,
-0.03652635220903832,
-0.010951776270513547,
0.06313776953222061,
0.022932933866948578,
-0.017199456215305803,
-0.022171115424563077,
-0.0003645953898457004,
0.04541984948339674,
-0.010684503878303924,
... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -3.7,
"target_ratio": 0.97,
"target_value": -3.589
} | 425 |
9e72b7dd0d69a46b7f007aaed5517323 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [19, 22], "expectation_value": -0.608791875580546, "params": [[-0.0661, -0.07100000000000001, -0.0818], [0.0717, 0.0688, 0.07350000000000001]], "bitstrings": ["101100", "101001"], "total_optimization_steps": 10, "probabilities": [0.02503689143078042, 0.025036891430780427], "optimization_time": 3.044401645660... | 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(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["011100", "011001", "101001", "101100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIZZII",
"ZIIZII",
"ZIZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
-0.5,
-0.5,
0
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
db350f4c6cc12fe7a27604bdeac9089b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, ... | {"states": [1, 3], "expectation_value": -10.191566208765225, "params": null, "bitstrings": ["11111110", "11111100"], "total_optimization_steps": 26, "probabilities": [0.4124944454805767, 0.42588535922311377], "optimization_time": 24.925750732421875} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -1.75 * Z(1)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.4275268824029438) q[0];
h q[1];
ry(-1.5652080334247682) q[1];
ry(-0.03368310796321593) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.5652080334247682) q[3];
h q[4];
ry(-1.6531305993622973) q[4];
h q[5];
ry(-1.5652080334247682) q[5];
h q[6];
h q[7];
cx q[7], q[0];
ry(0... | 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... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIIZI",
"IIZIZIII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-0.25,
-1,
-0.25,
-0.75,
-0.75,
-1.75,
-0.5,
-0.75,
-0.25,
-0.25,
1.5,
-0.25,
-0.75,
-1.75,
-0.25,
0.25,
0.25,
-0.5,
0,
1.25,
0.75
] | 0.972524 | [
-1.5652080334247682,
-0.8550537648058876,
1.3145543956205288,
-0.8916018977800446,
-1.5187606997036145,
-1.6531305993622973,
0.19570433574163723,
-0.335754560642802,
-0.0367050382561322,
-0.08837873644366767
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 10 |
473775bc8d8b4cca680d00f7b64c1aa1 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [2, 3], "expectation_value": -10.826114406255389, "params": [[[0.9017000000000001, 0.0002], [0.3902, 0.0061], [0.3902, 0.0094], [0.9084000000000001, 0.0036000000000000003], [1.5995000000000001, 0.007], [1.5924, 0.0067]]], "bitstrings": ["111101", "111100"], "total_optimization_steps": 160, "probabilities": [... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 1 | 6 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 70.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022388232708840404) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022388232708840404) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022388232708840404) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.022388232708840404) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
-6.25,
-5.75,
-6.25,
-5.75,
-5.5,
-5.5
] | 0.970792 | [
0.022388232708840404,
-0.16546972504389865,
1.387189998889542,
1.1317721305414625,
-1.0291416278486831,
1.3553919116902904,
-0.24772195907827305,
-0.6852193775874179,
1.0091668921719015,
0.9126657422045303,
0.15550491965267638,
0.23151516878776346
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 42 |
4bfb7aa3de77ad6289ff7f946b540c30 | 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": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 288], "expectation_value": -14.797639135226099, "params": [-0.0026000000000000003, 0.1564, -0.0036000000000000003, 0.15760000000000002, 0.0018000000000000002, 0.1955, -0.0032, 0.2371, 0.30560000000000004, -0.0021000000000000003, 0.30720000000000003, -0.0018000000000000002, -0.0002, 0.24070000000000003, -... | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(7)) + -0.75 * (Z(9) @ Z(8)) + -0.25 * (Z(10) @ Z(3)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(10) @ Z(7)) + -0.5 * (Z(10) @ Z(9)) + -0.25 *... | 6 | 11 | 3 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["11011011111"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.009824436464804564) q[0];
rz(2.063727847011272) q[0];
rx(-0.022114454747601348) q[1];
rz(1.6311740024972785) q[1];
rx(0.11553598522653519) q[2];
rz(1.639471131076565) q[2];
rx(-0.25529543900565144) q[3];
rz(2.154946291953671) q[3];
rx(-0.14762897020800353) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIZIIIZIII",
"IIIZIIIIIIZ",
"IIZIIIIZIII",
"IIZIIIIIIIZ",
"IIZZIIIIIII",
"IZIIIIIIIIZ",
"IZIZIIIIIII",
"IZZIIIIIIII",
"ZIIIIIIZIII",
"ZIIIIIIIIIZ",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIIZIIIIIZI",
"IIZIIIIIIZI",
"IIIIZIIZIII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIIIIIIZZ... | [
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
-0.75,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.75,
-0.75,
-1.25,
-1,
-0.25,
1.75,
-0.5,
-0.5,
-0.75,
-0.25,
-0.5,
-0.5,
-0.25,
-0.75,
2,
-0.25,
-1,
0.25,
-0.5,
0.25,
-1,
-1,
0.25,
0,
1
] | 0.972915 | [
-0.009824436464804562,
0.4929315202163746,
-0.022114454747601348,
0.060377675702382595,
0.11553598522653519,
0.06867480428166814,
-0.25529543900565144,
0.5841499651587729,
-0.14762897020800353,
0.14499812077812563,
0.24649245388866642,
-0.010255955323811003,
0.0585954178146684,
0.213995657... | {
"n_parameters": 140,
"n_qubits": 11,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 86 |
1826a1fa053bdb81cfb85abe3847e6ef | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "ta... | {"states": [80, 82], "expectation_value": -3.64670344319212, "params": [[[0.0021000000000000003, 0.0011, 0.0037, 0.0025], [1.0490000000000002, 0.0027, 1.0505, 0.0024000000000000002], [-0.0021000000000000003, 0.0017000000000000001, 0.0058000000000000005, 0.005], [1.0474, -0.0027, 1.0514000000000001, 0.003100000000000000... | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(1) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(3) @ Z(7)) + 0.125 * (Z(6) @ Z(5)) + 0.... | 12 | 8 | 1 | {"smallest_eigenvalues": [-4.125, -4.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.125, "smallest_bitstrings": ["10101101", "11001101"], "largest_eigenvalue": 6.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.23323547025188174) q[0];
rz(0.08837409933002813) q[0];
ry(1.211157610172106) q[1];
rz(0.05453226163717659) q[1];
cz q[1], q[0];
ry(2.0641599072500934) q[1];
ry(0.21124690548937397) q[2];
rz(-0.038031623198334225) q[2];
ry(0.9938275915989944) q[3];
rz(-0.02587790807... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIIZZIZI",
"IIIIIZIZ",
"IZIIIIIZ",
"IZIIIZII",
"IZIIIZIZ",
"IIZIZIII",
"IZIIZIII",
"ZIIIZIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IZZIZIII",
"ZIZIZIII",
"ZZIIZIII",
"ZZZIIIII",
"ZZZIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZI... | [
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,
-0.75,
-0.25,
-0.25,
0.125,
-0.75,
-0.625,
0.125,
-0.625
] | 0.980477 | [
0.23323547025188174,
0.08837409933002813,
1.211157610172106,
0.05453226163717659,
0.21124690548937397,
-0.038031623198334225,
0.9938275915989944,
-0.025877908072791597,
0.1456307430183771,
0.3108472793082809,
-0.18153442339843348,
-0.6637036507083744,
2.923509900953146,
-0.1870797071041495... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 12 |
9a88f89de402032a99e5ba06309fbc2e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [1595, 1851], "expectation_value": -3.233776668211087, "params": [[[0.1771, 0.0095], [2.4525, 0.0058000000000000005], [2.6997, 0.0033], [1.5728, 0.0049], [0.8668, 0.0025], [-0.0022, 0.0012000000000000001], [2.7033, 0.0092], [2.706, 0.0007], [2.6941, 0.0028], [0.6936, 0.0078000000000000005], [2.71060000000000... | 0.5 * (Z(1) @ Z(0)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.25 * (Z(8) @ Z(6)) + 0.25 * (Z(6) @ Z(9)) + 0.25 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(9) @ Z(6)) ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.625, -4.625, -4.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.625, "smallest_bitstrings": ["010101001000", "100011000100", "011001000100"], "largest_eigenvalue": 7.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.02350721617204192) q[0];
rz(-0.6131591399745375) q[0];
rx(3.3586482262968933) q[1];
rz(-0.16764183920110234) q[1];
rx(2.952644500092509) q[2];
rz(0.732973258830574) q[2];
rx(2.635976208014133) q[3];
rz(-0.20349261157472692) q[3];
rx(0.00754061251844255) 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIZZZII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIZZZIIIII",
"IIIZIZIIIIII",
"IIZIIZIIIIII",
"IIZZIIIIIIII",
"IIZZIZIIIIII",
"IIIIIIIIIZIZ",
"IIIZIIIIIIIZ",
"IZIIIIIIIIIZ",
"IIIZIIIIIZII",
"IZIIIIIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.12... | 0.976149 | [
0.02350721617204192,
-0.6131591399745375,
3.3586482262968933,
-0.16764183920110234,
2.952644500092509,
0.732973258830574,
2.635976208014133,
-0.20349261157472692,
0.00754061251844255,
-0.4970402985984557,
-0.02657060187241099,
0.13252937680876614,
3.213980704625528,
0.0025794824296462363,
... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -4.625,
"target_ratio": 0.97,
"target_value": -4.48625
} | 15 |
0963943ecfb82868686868de206d3c2c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}]} | {"states": [5, 13], "expectation_value": -0.10792942560207416, "params": [[-0.055400000000000005, -0.0368, 0.0683], [0.0734, 0.06670000000000001, -0.0188]], "bitstrings": ["11010", "10010"], "total_optimization_steps": 10, "probabilities": [0.034834243516703986, 0.03682870089413027], "optimization_time": 2.168492555618... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(3) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4948710520914895) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.4948710520914895) q[3];
cx q[0], q[3];
rz(-0.4948710520914896) q[3];
rx(-1.058874037423115) q[3];
h q[4];
cx q[1], q[4];
rz(0.2625528553115834) q[4];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.25,
-0.25,
-0.5,
0.75,
-0.5,
0.25,
-0.25,
-0.25,
-0.25,
0.5
] | 0.618491 | [
-0.4948710520914895,
0.2625528553115834,
1.6007806305011483,
1.859838942507385,
1.4865699529568797,
-1.0588740374231147,
-0.22546151729226455,
0.8787999957155911,
3.678727237984558,
1.550791867295464,
1.2526545709057826,
-0.6302460970158399
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 418 |
bc0e661f197725267ce5e0973269ca51 | 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": [469, 405], "expectation_value": -115.86682207513454, "params": [1.2217, 0.009000000000000001, 0.0029000000000000002, 0.0064, 2.8886000000000003, 0.0091, 2.8917, 0.0019, 1.4841, 0.0013000000000000002, 0.0029000000000000002, 0.0076, 2.9028, 0.0073, -0.0019, 0.0041, 2.8991000000000002, 0.0024000000000000002, 0... | 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(0)) + 7.0 * (Z(10) @ Z(8)) + 7.0 * (Z(9) @ Z(10)) + 29.5 * Z... | 18 | 11 | 1 | {"smallest_eigenvalues": [-134.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -116.0, "smallest_bitstrings": ["11001101010"], "largest_eigenvalue": 201.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5669731677684735) q[0];
ry(0.047865585651732934) q[1];
ry(1.3085101067257128) q[2];
ry(1.100747190485754) q[3];
ry(0.05807090023653764) q[4];
ry(-0.01563724424309265) q[5];
ry(0.876082707375212) q[6];
ry(0.07266717893404467) q[7];
ry(-0.08554406899690414) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIZIZII",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIIZIZI",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIZIIIIIZII",
"IIZIIIIIIIZ",
"IIZZIIIIIII",
"ZIIIIIIIZII",
"ZIIIIIIIIIZ",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
29.5,
9.5,
12,
16.5,
-5,
9,
-2,
20.5,
-2.5,
22,
-6.5
] | 0.971964 | [
1.5669731677684735,
0.047865585651732934,
1.3085101067257128,
1.100747190485754,
0.05807090023653764,
-0.01563724424309265,
0.876082707375212,
0.07266717893404467,
-0.08554406899690414,
0.05770541462814193,
0.15291792904907456,
1.1687523339555679,
0.010242579879034664,
0.030394684423111745... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -134,
"target_ratio": 0.97,
"target_value": -129.98
} | 26 |
6db46fc059c6f81124803e34100362dc | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, ... | {"states": [70, 100], "expectation_value": -5.499901760569889, "params": null, "bitstrings": ["0111001", "0011011"], "total_optimization_steps": 34, "probabilities": [1.635351347722204e-05, 0.9999508525588269], "optimization_time": 28.833174467086792} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(5) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1101100", "0011011"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.019655499024159567) q[0];
ry(1.1595601537978772) q[1];
ry(0.1209884063694592) q[2];
ry(0.9930175535327839) q[3];
ry(0.6397931256732187) q[4];
ry(-0.0935398170551616) q[5];
ry(1.4532418073516866) q[6];
ry(-0.1362218393794751) q[7];
ry(0.3213617940651091) q[8];
ry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"IZIIIZI",
"ZIIIIZI",
"IIZIZII",
"IIZZIII",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII"
] | [
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,
-1.5,
-1.5,
-0.5,
-1.5,
-1,
-1
] | 0.970301 | [
-0.019655499024159567,
1.1595601537978772,
0.1209884063694592,
0.9930175535327839,
0.6397931256732187,
-0.0935398170551616,
1.4532418073516866,
-0.1362218393794751,
0.3213617940651091,
0.5842795606830228,
-0.05426368705056557,
0.10284527672019492,
-0.019030390019444916,
0.10074151076462524... | {
"n_parameters": 70,
"n_qubits": 12,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 42 |
-3009869336801506383 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4], [0, 5], [2, 5], [3, 6]]} | {"states": [103, 39], "expectation_value": -0.05042390693352555, "params": [[[1.665, 0.004], [1.7442, 0.0016], [1.3851, 0.0015], [1.8007000000000002, 0.007], [1.3928, 0.0043], [1.3829, 0.004], [1.7542, 0.0064]]], "bitstrings": ["0011000", "1011000"], "total_optimization_steps": 180, "probabilities": [0.0199401269232309... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(4) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(6) | 2 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["1011000", "0001010"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(0.3857718960853026) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(0.3857718960853026) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(0.3857718960853026) q[4];
cx q[1], q[4];
rz(0.38577189608530205) q[1];
rx(-0.7910019571249246)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZI",
"IIZZIII",
"IIZIIZI",
"IZIIIIZ",
"IZIIZII",
"ZIIZIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0
] | 0.676183 | [
0.3857718960853026,
1.1559638638652256,
-0.06383187856549002,
-0.7910019571249245
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333335,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 114 |
2595393ec6a8cf85d387fa4d443f68fe | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [48, 58], "expectation_value": -4.499934074184779, "params": null, "bitstrings": ["001111", "000101"], "total_optimization_steps": 27, "probabilities": [1.3833773570316686e-05, 0.999948184162596], "optimization_time": 16.4271183013916} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["000101"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.039378763522295586) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.039378763522295586) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(0.039378763522295586) q[4];
cx q[3], q[4];
rz(-1.5354177947497778) q[3];
rx(-1.63381938549... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIZIIZ",
"ZIIIIZ",
"IIZIZI",
"ZIIIZI",
"ZIIZII",
"IZZIII",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1.5,
-0.5,
0,
-0.5
] | 0.980264 | [
0.039378763522295586,
-1.5354177947497778,
1.43026941588834,
-1.4957618524327259,
1.2143430960656043,
-1.6338193854963232
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
9915ff93784d747e82bcd9a73a2399e5 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [0, 9], "expectation_value": -2.624903340271929, "params": null, "bitstrings": ["11111", "10110"], "total_optimization_steps": 14, "probabilities": [1.7181867225419193e-05, 0.9999371031796124], "optimization_time": 12.424838066101074} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + -0.125 * (Z(1) @ Z(4) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(2)) + 0.12... | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.625, "smallest_bitstrings": ["10110"], "largest_eigenvalue": 4.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5158) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"IZIZI",
"ZIIZI",
"IZZII",
"ZIZII",
"ZZIII",
"IZZZI",
"ZIZZI",
"ZZIZI",
"ZZZII",
"ZZZZI",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.5,
-0.125,
-0.625,
-0.625,
-0.125
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
8ccb61531a0518dab46daa7987f55ae4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [0, 455], "expectation_value": -16.0774253973796, "params": [0.3912, 0.22640000000000002, -0.0606, 0.7267, -0.8375, 1.6109, 0.44670000000000004, 0.6305000000000001, -0.8545, 1.0967, 0.1469, 0.38520000000000004, 0.0044, 1.1006, 0.0036000000000000003, 0.00030000000000000003, 0.0041, 2.1744, -0.0038, 0.9643, -0... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(3) + -1.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z... | 6 | 9 | 2 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.996593178178558) q[0];
h q[1];
h q[2];
ry(0.5888832353507985) q[2];
cx q[1], q[2];
ry(-0.5888832353507985) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.996593178178558) q[0];
cx q[2], q[0];
ry(-0.6875011369209832) q[1];
cx q[0], q[1];
ry(0.6875011369209832) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-1.5,
-1.5,
-1.5,
-2,
1,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5
] | 0.959988 | [
-1.573475623927345,
-1.5745368026595388,
1.177766470701597,
1.993186356357116,
-1.3750022738419665,
0.7869126081971946,
-0.26281594791650864,
-0.7899417559689463,
-0.024631791748175664,
-0.08767859512836484,
2.4583506114253013,
0.020494138931016335,
-0.013105036148354052,
-0.01474806033721... | {
"n_parameters": 28,
"n_qubits": 9,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 500 |
bc1e193b4d7ad220492290467ee36758 | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 8}, {"source": 4, "target":... | {"states": [0, 511], "expectation_value": -18.616428293773822, "params": [[[0.0021000000000000003, 1.6041], [0.0016, 0.0021000000000000003], [0.0021000000000000003, 0.0018000000000000002], [0.002, 0.002], [0.0023, 0.0018000000000000002], [0.0018000000000000002, 0.002], [0.0018000000000000002, 0.002], [0.002, 0.00210000... | -2.0 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(3) @ Z(7)) + -3.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(3)) + -3.0 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(8)) + -2.5 * (Z(5) @ Z(4)) + -2.5 * (Z(6) @ Z(7)) + 0.5... | 15 | 9 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.061557156478662445) q[0];
ry(-0.3200227140267819) q[1];
ry(-0.061557156478662445) q[2];
ry(-0.0698241284032024) q[3];
ry(0.1230657787536926) q[4];
ry(0.0993842617757747) q[5];
ry(0.0993842617757747) q[6];
ry(-0.0698241284032024) q[7];
ry(0.06673234526400133) q[8];... | 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[9] c;
qubit[9] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x0) q[2];
ry(x2) q[3];
ry(x3) q[4];
ry(x4) q[5];
ry(x4) q[6];
ry(x2) q[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IZIIIZIII",
"ZZIIIIIII",
"ZIIIIZIII",
"IZIIZIIII",
"IIIIZZIII",
"ZIIIZIIII",
"IZIZIIIII",
"IIIZIZIII",
"ZIIZIIIII",
"IIIZZIIII",
"IZZIIIIII",
"IIZIIZIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
-2,
-1.5,
0.5,
-2.5,
-3,
-2,
-3,
0.5,
1,
1,
0.5,
-2.5,
-2.5,
-2.5,
0.5,
0.5,
-2,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.976327 | [
-0.061557156478662445,
-0.3200227140267819,
-0.0698241284032024,
0.1230657787536926,
0.0993842617757747,
0.06673234526400133,
3.126902560564689,
-0.13161318620632884
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 14 |
7efca02d91f49e4bd32e9ceac2c5c6eb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [0, 14], "expectation_value": -1.5984343277622735, "params": [[[0.0661, 0.3466, 0.0063, 0.0031000000000000003], [0.5444, -0.3145, 0.2932, 0.18000000000000002], [0.1885, 0.36200000000000004, 0.1845, 0.3161], [-0.1351, -0.1464, 0.2262, -0.2902], [-0.198, 0.1535, 0.5379, 0.4345], [-0.4052, -0.0641, 0.6087, -0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) | 11 | 7 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110001", "1011010", "0101101", "0101110", "0110101", "1010011", "1001110"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4594827096862753) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4594827096862753) q[3];
cx q[0], q[3];
rz(-0.5630635507632684) q[0];
rx(-0.901497698191471) q[0];
h q[4];
cx q[2], q[4];
rz(0.4594827096862753) q[4];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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",
"IIIZZII",
"IIZIIIZ",
"IZIIIZI",
"IIZIZII",
"ZIIZIII",
"ZZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.926719 | [
0.4594827096862753,
-0.5630635507632685,
-0.901497698191471,
1.3353012772704733,
-1.605474020176386,
-0.822650231119289,
-0.30828100973507994,
-0.6582238828432734,
0.6011290317482081
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 264 |
f490a28ecdd83f85cb7689547a0eb0f1 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [52, 38], "expectation_value": -3.499937323929622, "params": null, "bitstrings": ["001011", "011001"], "total_optimization_steps": 24, "probabilities": [1.637776441758569e-05, 0.9999686682982746], "optimization_time": 19.250945806503296} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.75 * Z(2) + 0.0 * Z(3) + -0.25 * Z(4) + -0.7... | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["011001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.4559220094194139) q[1];
ry(-0.12411763596727048) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4736134322386227) q[3];
ry(-0.031683301563526195) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.5472362963496462) q[5];
cx q[0], q[5];
ry(0.5472362963496462) q[5];
cx q[0], q[5];
... | 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(-1.5486) 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",
"IIZZII",
"IZIZII",
"IZZIII",
"IZZZII",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"ZIZIIZ",
"IZIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-0.75,
0,
-0.25,
-0.75
] | 0.991196 | [
-1.582323973277357,
-1.3643355409729596,
1.4736134322386227,
1.4559220094194139,
-1.0944725926992924,
0.7522403135211317,
-0.3532284044695118,
0.4812526455354951,
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0.3572804273733394,
-0.1631535345356533,
-0.16468629970933335,
0.1857552217475515,
0.08779101460740774,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
3144733901229829158 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[11, 5, 6, 7], [0, 8], [10, 7], [9, 3, 7], [2, 3, 5, 7], [10, 3], [8, 2, 5], [3, 11, 6], [1, 5, 9, 6], [0, 9, 6], [1, 11, 9, 7], [0, 9, 11, 4], [10, 2], [0, 11, 3, 7], [2, 11, 4, 5], [4, 6], [1, 10, 4, 9], [8, 1, 5], [9, 2, 11], [8, 9], [1, 3, 6], [0, 3, ... | {"states": [3549, 3485], "expectation_value": -7.404424431774174, "params": [[[2.591, 0.0005, 0.0099, 0.0079], [-0.0018000000000000002, 0.443, 1.5725, 0.0048000000000000004], [0.0029000000000000002, 0.0034000000000000002, 0.0008, 0.0046], [0.9788, 0.002, 1.0845, 0.0018000000000000002], [2.6046, 0.0085, 0.0056, 0.0082],... | 0.25 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.3333333333333333 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(7)) + 0.3333333333333333 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(8)) + 0.08333333333333333 * (Z(0) @ Z(7)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(8)) + 0.25 * (Z(0) @ Z(9)) + 0.41... | 12 | 12 | 1 | {"smallest_eigenvalues": [-8.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.916666666666668, "smallest_bitstrings": ["001001100010"], "largest_eigenvalue": 33.00000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(2.8400651755627666) q[0];
rz(-0.15052194059978186) q[0];
ry(0.01777706940235939) q[1];
rz(0.6689285444056383) q[1];
cz q[1], q[0];
ry(-2.888561590638745) q[1];
ry(0.1694211636721663) q[2];
rz(0.06361085316293685) q[2];
ry(1.2591671961785242) q[3];
rz(-0.002372928728... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIZIIIZIII",
"IIIZZIIIIIII",
"IIIZIIIIZIII",
"IIZIZIIIIIII",
"IIZIIIIIZIII",
"IIZZIIIIIIII",
"IIIIZIIIIIIZ",
"IIIIIIIIZIIZ",
"IIIZIIIIIIIZ",
"IIZIIIIIIIIZ",
"IZIIZIIIIIII",
"IZIIIIIIZIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IZIIIIIIIIIZ",
"IIIIZIIIIZII",
"IIIIIIIIZZII",
"IIIZIIIII... | [
0.25,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.25,
0.08333333333333333,
0.3333333333333333,
0.5,
0.25,
0.41666666666666663,
0.25,
0.08333333333333333,
0.25,
0.5,
0.08333333333333333,
0.16666666666666666,
0.5,
0.5,
0.3333333333333333,
... | 0.97281 | [
2.8400651755627666,
-0.15052194059978186,
0.01777706940235939,
0.6689285444056383,
0.1694211636721663,
0.06361085316293685,
1.2591671961785242,
-0.0023729287289196016,
2.859169375143949,
-0.01410959788486809,
0.8135456708826411,
0.030029743523826008,
-0.17265479568986664,
0.838197359054041... | {
"n_parameters": 31,
"n_qubits": 12,
"optimal_eigenvalue": -8.333333333333332,
"target_ratio": 0.97,
"target_value": -8.083333333333332
} | 8 |
21c8a0e02357d1dbfa852bca1cebf8a1 | 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": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [112, 113], "expectation_value": -3.803796737466849, "params": [1.6981000000000002, 0.0033, 1.6904000000000001, -0.0033, 1.7052, -0.0034000000000000002, 1.7068, -0.0023, 1.1657, -0.0028, 0.0039000000000000003, -0.7412000000000001, 0.0572, -0.0028, 1.701, 0.005, -1.6895, 1.4808000000000001, 1.473, 1.4713, -1.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(5) + -1.0 * Z(6) + -0.5 * Z(4) + -0.5 * Z(3) + 0.... | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["10100110", "01100110", "10001110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.7795118792937834) q[0];
rz(1.6406197132941536) q[0];
rx(1.4080388341358727) q[1];
rz(1.5471198681820928) q[1];
rx(0.5755883462134748) q[2];
rz(1.6145982722888093) q[2];
rx(1.1961320820020727) q[3];
rz(1.6336940402808846) q[3];
rx(1.3053650537763344) q[4];
rz(1.8276... | OPENQASM 3.0;
include "stdgates.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",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IIIZIZII",
"IIZZIIII",
"IIZIZIII",
"IZIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-1.5,
-1,
-0.5,
-0.5,
0
] | 0.970199 | [
0.7795118792937834,
0.06982338649925746,
1.4080388341358727,
-0.023676458612803656,
0.5755883462134749,
0.04380194549391314,
1.1961320820020724,
0.06289771348598765,
1.3053650537763346,
0.25680902239054126,
-0.2427547614689966,
-0.7186466229717681,
-0.1605186379284163,
0.7497116720985295,
... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 17 |
30817b6a61eae6109bfdbb2e6204f6e8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 8}, {"capacity": 3, "s... | {"states": [153, 137], "expectation_value": -1.3919693967851097, "params": [[0.07060000000000001], [-0.079]], "bitstrings": ["101100110", "101110110"], "total_optimization_steps": 10, "probabilities": [0.003158834749329045, 0.0032253803939957903], "optimization_time": 2.1656737327575684} | -1.0 * (Z(0) @ Z(2)) + -1.0 * (Z(6) @ Z(2)) + -1.5 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(8)) + -1.25 * Z(2) + -0.25 * Z(0) + -4.5 * Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -14.0, "smallest_bitstrings": ["101010110", "101000100", "101110110", "101100110", "101000110", "101010100"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6930296194241141) q[0];
h q[1];
ry(0.7825623435142364) q[1];
h q[2];
ry(-1.3860592388482282) q[2];
h q[3];
h q[4];
h q[5];
ry(1.57261848360949) q[5];
ry(-0.5317628050156856) q[6];
rz(-pi) q[6];
rz(-pi) q[7];
ry(-0.03418194375268747) q[7];
h q[8];
cx q[8], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IZIIIIZII",
"IZZIIIIII",
"IZIIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"ZIIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII"
] | [
-1,
-1,
-1.5,
-0.5,
2.75,
-0.75,
-1.25,
-0.25,
-1.25,
-1,
-1.25,
-1,
-1.25,
-0.25,
-4.5,
0.5,
0.75,
0.25,
1.25,
1,
2.25
] | 0.964955 | [
-1.0536326399802303,
-1.3860592388482282,
0.029198236402038676,
1.8960357997707717,
-0.4401858692181388,
1.57261848360949,
-0.5690085847745243,
-0.002427722158642418,
-1.6291077484649936,
1.5651246870284727,
0.03936573239828063,
-2.271843555616953,
-3.39068333703899,
1.781336466513601,
0... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 500 |
bb51b85a8f0cca1e878093cb2d4e9f25 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [197, 236], "expectation_value": -3.5103114489764295, "params": null, "bitstrings": ["00111010", "00010011"], "total_optimization_steps": 43, "probabilities": [0.057279452107917815, 0.8498965515177191], "optimization_time": 83.9612922668457} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["00010011"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IIZZIIIZ",
"IZIZIIIZ",
"IZZIIIIZ",
"IZZZIIII",
"IZZZIIIZ",
"IIIZIIZ... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.125,
0.125,
-0.625,
0.125,
... | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
b08f25f755dd043c69871ce598b20e79 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 9}, {"weight":... | {"states": [430, 428], "expectation_value": -73.16643682388343, "params": [0.2868, -0.18630000000000002, 0.2797, -0.165, 0.6988000000000001, -0.0137, 0.6951, 0.0488, 0.7032, -0.016900000000000002, 0.6987, 0.0383, 0.1254, 0.2795, 0.1255, 0.2681, 0.7018, -0.0125, 0.6957, 0.0417, 0.3209, -0.2041, 0.3249, -0.21130000000000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 12.0 * Z(1) + 3.5 * Z(0) + 14.0 * Z(2) + 0.5 * Z(3) + 15... | 5 | 10 | 2 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["1001010011"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.2797411013017683) q[0];
rz(0.4421221901642838) q[0];
rx(0.4366702468592919) q[1];
rz(-0.04743788892870571) q[1];
rx(0.8397887522661321) q[2];
rz(0.13161463088404357) q[2];
rx(0.2336579906321617) q[3];
rz(-0.08507250989014192) q[3];
rx(0.39716563920752446) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IZIIIZIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
12,
3.5,
14,
0.5,
15.5,
14.5,
4.5,
6,
10,
-1.5
] | 0.970583 | [
-0.2797411013017683,
0.5217692558262729,
0.4366702468592919,
-0.06406032054854126,
0.8397887522661323,
0.0328996454549402,
0.23365799063216167,
-0.1903444184716842,
0.3971656392075244,
0.3649192862180548,
0.3617221121277712,
-0.47558560919131365,
0.6924732782088836,
0.07864637744780786,
... | {
"n_parameters": 97,
"n_qubits": 10,
"optimal_eigenvalue": -89,
"target_ratio": 0.97,
"target_value": -86.33
} | 70 |
8024481a741f3f9d1bfa3919cba5fa72 | 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": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 6}, ... | {"states": [80, 33], "expectation_value": -2.297469090672059, "params": [[0.49500000000000005, 0.49420000000000003, 0.0983, -0.0031000000000000003, 0.0013000000000000002, -0.0053, 0.0969], [0.49500000000000005, 0.49450000000000005, 0.1809, -0.0044, -0.0055000000000000005, -0.0005, 0.19990000000000002], [0.4906000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(4) @ Z(5) @ Z(1)) + ... | 10 | 7 | 4 | {"smallest_eigenvalues": [-2.875, -2.875, -2.875, -2.875], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.875, "smallest_bitstrings": ["1001111", "0101111", "1011110", "0111110"], "largest_eigenvalue": 6.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.37508209008185645) q[0];
rz(-2.1074612783711215) q[0];
rx(3.117622903778791) q[1];
rz(-0.7901773963171368) q[1];
rx(0.16582931580041338) q[2];
rz(0.8473276683109248) q[2];
rx(-0.05321533002953449) q[3];
rz(-0.1686638567721093) q[3];
rx(0.2520188779872486) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIZZII",
"IIIZZIZ",
"ZIIIZII",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"IZZIIZI",
"ZIZIIZI",
"ZZIIIZI",
"ZZZIIII",
"ZZZIIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
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,
-0.125,
-0.25,
-0.75,
-0.625,
-0.625,
-0.125
] | 0.972618 | [
-0.37508209008185645,
-2.1074612783711215,
3.117622903778791,
-0.7901773963171368,
0.16582931580041338,
0.8473276683109248,
-0.05321533002953449,
-0.1686638567721093,
0.2520188779872486,
0.2499451073593159,
-0.2781126576539108,
0.6206559794715769,
3.0903792439836644,
0.19445529084414154
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -2.875,
"target_ratio": 0.97,
"target_value": -2.78875
} | 22 |
2588d6bc234a2ebe9da283ea0a74ab37 | 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": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.11510109362625746, "params": [[-0.045000000000000005], [0.0551]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004400219151965092, 0.004439270276241889], "optimization_time": 2.0013587474823} | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.14839836116753768) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(0.5527585164935408) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(0.32881606869814567) q[3];
cx q[6], q[3];
cx q[1], q[3];
rz(0.552758516493540... | 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[0];
rz(x0) q[0];
cx q[6],... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IZIIIIIZ",
"IZIIIIZI",
"IZIIZIII",
"IIIIZIZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIIZZI",
"ZIIIIZII",
"IIIZIZII",
"IZZIIIII",
"IIZIIIZI",
"ZIZIIIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII"
] | [
-0.5,
-0.75,
-0.25,
-0.75,
0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
0,
-0.25,
0.5,
-0.5,
-0.75,
0.75,
-0.5,
0.75
] | 0.86115 | [
0.14839836116753768,
0.5527585164935408,
0.32881606869814567,
-0.765912548820112,
0.2311734859611556,
0.05741605135624837,
-1.2951574166671995,
0.5782381291255552,
-0.3685606030596106,
-0.7438219039249117,
-0.9069556769159839,
0.951041222959043,
-0.5805358994066825,
1.6189642146834144,
-... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 500 |
c5d57071b024d109c38c43678d62eaf1 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}]} | {"states": [24, 56], "expectation_value": -2.040279902519026, "params": [0.4048, -0.0017000000000000001, 0.4031, 0.0043, 0.39830000000000004, -0.0028, 0.0005, 0.1928, 0.0039000000000000003, 0.27290000000000003, 0.004200000000000001, 0.2717, 0.4015, -0.0026000000000000003, 0.3986, 0.0038, 0.399, -0.0001, 0.0038, 0.2383,... | 0.9 * (Z(0) @ Z(1)) + 1.8 * (Z(2) @ Z(1)) + 0.9 * (Z(2) @ Z(0)) + -0.1 * (Z(3) @ Z(4)) + -0.2 * (Z(5) @ Z(4)) + -0.1 * (Z(5) @ Z(3)) + 4.5 * Z(1) + 2.25 * Z(0) + 4.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.5 * Z(5) | 18 | 6 | 4 | {"smallest_eigenvalues": [-9.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.4, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 15.700000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.9,
1.8,
0.9,
-0.1,
-0.2,
-0.1,
4.5,
2.25,
4.5,
-0.5,
-0.25,
-0.5
] | 0.998049 | [
0.707331722307411,
1.4871712470846223,
0.8597462707622504,
-1.3799562985781975,
-1.4711756176015598,
1.541381398439436,
-1.3965271552689695,
-0.16148817852256322,
-0.2575056935640775,
0.2663957319896916,
-0.1803796305048725,
0.0016697777359003935,
-0.24197649101399368
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -9.3,
"target_ratio": 0.97,
"target_value": -9.021
} | 1 |
9e94b68911cb42706e972a91a1ac62c8 | 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": [252, 244], "expectation_value": -85.19548745104852, "params": [0.3131, -0.1938, 0.7877000000000001, 0.0158, 0.7911, -0.0001, 0.7889, 0.005200000000000001, 0.7933, 0.0959, 0.36300000000000004, 0.2132, 0.7917000000000001, 0.1773, 0.1278, 0.3854, 0.0947, 0.3649, 0.3161, -0.22290000000000001, 0.7904, -0.0035, 0... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(4) @ Z(0)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(3) @ Z(5)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(8) @ Z(3)) + 6.0 * (Z(8) @ Z(6)) + 16.0 * Z(1) + 9.5 * Z(0) + 12.5 * ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 181.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.031150831846370068) q[0];
rz(-0.4972963405628157) q[0];
rx(0.5470186236338952) q[1];
rz(-0.12592790165577578) q[1];
rx(0.6231019053974578) q[2];
rz(-0.12637196791575353) q[2];
rx(0.8540158802379851) q[3];
rz(0.15215397528325747) q[3];
rx(0.5363183201948232) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIZZIIII",
"IIIIZZIII",
"IIIZIZIII",
"IZIIIIZII",
"IIZIIZIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIZIII",
"IZIIIIIII",
"IIZIIIIII",
"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
16,
9.5,
12.5,
15,
11,
21,
2,
14.5,
1.5
] | 0.970491 | [
-0.031150831846370082,
-0.43014958184649366,
0.5470186236338952,
-0.12592790165577578,
0.6231019053974578,
-0.12637196791575353,
0.8540158802379851,
0.15215397528325747,
0.5363183201948232,
0.2649196225977296,
0.3217864301917326,
0.37799721952825355,
0.8974547837098942,
-0.0147024832123749... | {
"n_parameters": 104,
"n_qubits": 9,
"optimal_eigenvalue": -97,
"target_ratio": 0.97,
"target_value": -94.09
} | 10 |
2f9748d259d55a5f303ac02652806401 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 5, "source": ... | {"states": [4095, 2047], "expectation_value": -38.50928894510867, "params": [[[-0.002, 0.0089], [0.0027, 0.0022], [0.0054, 0.0022], [0.0162, 0.002], [-0.0025, 0.0024000000000000002], [0.0005, -0.0031000000000000003], [0.013800000000000002, 0.0025], [0.0045000000000000005, 0.0021000000000000003], [-0.0032, 0.0023], [0.0... | -0.5 * (Z(0) @ Z(7)) + -1.25 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(0)) + -0.75 * (Z(11) @ Z(7)) + -1.25 * (Z(11) @ Z(0)) + -1.25 * (Z(1) @ Z(7)) + -2.0 * (Z(1) @ Z(9)) + -0.75 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -0.75 * (Z(8) @ Z(11)) + -0.75 * (Z(8) @ Z(1)) + -1.25 * (Z(10) @ Z(7)) + -1.0 * (Z(10) @ Z(9)) + -2.5 * (... | 15 | 12 | 2 | {"smallest_eigenvalues": [-39.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.25, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 23.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.11671463111788032) q[0];
ry(0.07529291733798973) q[1];
ry(-0.009022443574858182) q[2];
ry(-0.054389195774138296) q[3];
ry(-0.17000834439674764) q[4];
ry(0.059008154478725414) q[5];
ry(0.06332112118589008) q[6];
ry(0.1871353596030696) q[7];
ry(-0.08903050556996585... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIZ",
"IIZIZIIIIIII",
"IIZIIIIIIIIZ",
"ZIIIZIIIIIII",
"ZIIIIIIIIIIZ",
"IIIIZIIIIIZI",
"IIZIIIIIIIZI",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"ZIIZIIIIIIII",
"IIIZIIIIIIZI",
"IZIIZIIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"IZIIIIIIIIZI",
"IZIZIIIIIIII",
"IIIIIIIIZIIZ",
"IIZIIIIIZ... | [
-0.5,
-1.25,
-1,
-0.75,
-1.25,
-1.25,
-2,
-0.75,
-1,
-0.75,
-0.75,
-1.25,
-1,
-2.5,
-2,
-1.5,
3,
-0.5,
-1,
-1.75,
-0.25,
-0.75,
-1.5,
-2.25,
-1.75,
-0.75,
-0.5,
-0.25,
-1,
-0.5,
-0.5,
-0.75,
-1.25,
-1.75,
-2,
-1.25,
-1.5,
1.25,
-0.25,
-0.... | 0.971001 | [
-0.11671463111788032,
0.07529291733798973,
-0.009022443574858182,
-0.054389195774138296,
-0.17000834439674764,
0.059008154478725414,
0.06332112118589008,
0.1871353596030696,
-0.08903050556996585,
-0.07286073828651182,
-1.5254185157666706,
-0.14990971866489136,
0.024067337901270566,
0.06367... | {
"n_parameters": 53,
"n_qubits": 12,
"optimal_eigenvalue": -39.25,
"target_ratio": 0.97,
"target_value": -38.0725
} | 20 |
087038e9edc1ea672825729ff4eba005 | max_flow | 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": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [32703, 32575], "expectation_value": -14.06888529584445, "params": [[-0.1428, -0.0219, -0.0089, -0.0025], [0.1705, 0.1535, 0.1569, 0.1545]], "bitstrings": ["000000001000000", "000000011000000"], "total_optimization_steps": 20, "probabilities": [0.003318115929310968, 0.003587052544918196], "optimization_time"... | 0.5 * (Z(9) @ Z(11)) + 1.0 * (Z(12) @ Z(11)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(11)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(12)) + -0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(0) @ Z(10)) + -1.0 * (Z(1) @ Z(9)) + -1.0 * (Z(1) @ Z(10)) + 0.9090909090909091 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + 0... | 1 | 15 | 4 | {"smallest_eigenvalues": [-20.272727272726836], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999627, "smallest_bitstrings": ["000000011000000"], "largest_eigenvalue": 36.90909090909088} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(2.8614287082955054) q[0];
rz(-0.4707583099811581) q[0];
rx(3.4155641567142934) q[1];
rz(0.7617627833178526) q[1];
rx(3.355608374216573) q[2];
rz(-0.7114090480604071) q[2];
rx(3.1031710721717287) q[3];
rz(-1.6856091863259048) q[3];
rx(3.298981659218298) q[4];
rz(-0.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIZIIIIIIIII",
"IIZZIIIIIIIIIII",
"IIZIIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIIZZIIIIIIIII",
"IIZIZIIIIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIIZ",
"IIIIIZIIIIIIIZI",
"IIIIZIIIIIIIIZI",
"IIIIIIIIIIIIIZZ",
"IIIIIZIIIIIIZII",
"IIIIZIIIIIIIZII",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZZI",
"... | [
0.5,
1,
0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-1,
-1,
0.9090909090909091,
-0.5,
-0.5,
0.45454545454545453,
0.9090909090909091,
0.5,
0.5,
1,
1,
1,
0.9090909090909091,
0.45454545454545453,
-0.045454545454545456,
4.5,
1,
4.5,
1,
0.8181818181818181,
1.6363636363636362,
... | 0.9787 | [
2.8614287082955054,
0.09322718931803065,
3.4155641567142934,
0.7617627833178526,
3.355608374216573,
-0.7114090480604071,
3.1031710721717287,
-1.6856091863259048,
3.298981659218298,
-0.6650424839892606,
3.2225156967133604,
-0.880104913848808,
2.9895579168603836,
-0.7932929792033736,
0.084... | {
"n_parameters": 36,
"n_qubits": 15,
"optimal_eigenvalue": -20.27272727272695,
"target_ratio": 0.97,
"target_value": -19.66454545454514
} | 33 |
82a9b805089c1b1c13eff0722cc99710 | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "s... | {"states": [1, 65], "expectation_value": -10.999999490159968, "params": null, "bitstrings": ["111111110", "110111110"], "total_optimization_steps": 34, "probabilities": [0.00012303071764065422, 0.9998764648011279], "optimization_time": 53.28693199157715} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["110111110", "111111110"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.129749767988939) q[0];
rz(1.8507290898757516) q[0];
rx(-0.108662880652448) q[1];
rz(2.3681113194574674) q[1];
rx(0.004536411622978497) q[2];
rz(2.133366640905808) q[2];
rx(-0.10866288065244802) q[3];
rz(2.2931739779397198) q[3];
rx(0.03940300495578412) q[4];
rz(2.0... | 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[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",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIZIIIII",
"IIIIIIZZI",
"IIIIIZZII",
"IIIZIIZII",
"IZIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.25,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
2,
-0.5,
-0.25,
-0.25,
0.25,
-0.25,
-1.25,
0.25,
0.5,
-1.75,
0.75,
1.5,
0
] | 0.970637 | [
0.129749767988939,
0.2799327630808552,
-0.108662880652448,
0.7973149926625709,
0.004536411622978496,
0.5625703141109113,
0.7223776511448223,
0.039403004955784124,
0.4882744886423105,
0.06586133065035979,
0.5072858765314702,
0.5112305744463932,
0.389718831934279,
1.3419583646118771,
-0.13... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 7 |
daa025a90e4398677fe5b0d273c8f8d1 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "... | {"states": [4083, 4095], "expectation_value": -12.984659780350231, "params": null, "bitstrings": ["000000001100", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.12208200034862363, 0.36629411587881266], "optimization_time": 205.69211602210999} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z... | 1 | 12 | 1 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["000000000000", "000000000011"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.6557502082605464) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.20258994511258374) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.20258994511258388) q[2];
rx(-0.8399461939743009) q[2];
rz(0.2856205403006215) q[3];
cx q[0], q[3]... | null | {"node": 10} | {"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(1.5706) q[5], 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... | [
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIZZIIII",
"IIIIZIZIIIII",
"IIIIZIIZIIII",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIZZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIIZ",
"IIIIIIIIZIII",
"IIIIIIIIIIZI",
"IIIIIIZIIIII",
"IIIIIIIZI... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-1,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.534473 | [
-1.6557502082605464,
0.20258994511258374,
0.2856205403006215,
-1.0376352151818682,
-0.809409131107178,
-0.8399461939743007
] | {
"n_parameters": 6,
"n_qubits": 12,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 171 |
d715cd4fba508932d07752068586f9e9 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.01431867979883026, "params": [[0.0664], [-0.0543]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.6162886799210405e-05, 1.6162886799210418e-05], "optimization_time": 13.975035905838013} | 0.25 * (Z(0) @ Z(1)) + 0.0002314814814814815 * (Z(2) @ Z(0)) + 0.0002314814814814815 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002314814814814815 * (Z(4) @ Z(0)) + -0.0006944444444444445 * (Z(4) @ Z(2)) + 0.0002314814814814815 * (Z(5) @ Z(1)) + -0.0006944444444444445 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.001157... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.017438271604856], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0174382716048345, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0186728395061637} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.4983446942763727) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.02139717590255733) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.02139717590255733) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.4983446942763727) q[3];
cx q[2], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.0002314814814814815,
0.0002314814814814815,
0.25,
0.0002314814814814815,
-0.0006944444444444445,
0.0002314814814814815,
-0.0006944444444444445,
0.25,
-0.0011574074074074073,
-0.0006944444444444445,
-0.0006944444444444445,
-0.0011574074074074073,
-0.0006944444444444445,
-0.0006944... | 0.983414 | [
1.4983446942763727,
0.02139717590255733,
0.03713394625739391,
-0.061579190743823314,
0.02457489726263018,
-0.7608071798572529
] | {
"n_parameters": 6,
"n_qubits": 16,
"optimal_eigenvalue": -2.017438271604856,
"target_ratio": 0.97,
"target_value": -1.9569151234567101
} | 19 |
294512af72c0fecd4cefe8fd6a356b5c | 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": 1, "source": 0, "t... | {"states": [110, 109], "expectation_value": -7.635787281906735, "params": [[-0.05], [0.0664]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.00742134486438217, 0.007778030285268242], "optimization_time": 1.5668911933898926} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 5.0 * Z(0) + 11.5 * Z(2) + 13.0 * Z(1) + -3.0 * Z(3) + 2.0 * Z(4) + 14.0 * Z(5) + 9.5 * Z(6) + 12.5 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 111.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.07402068680094753) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.07402068680094753) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.07402068680094753) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[3], q[4];
rz(0.07402068680094753) q[4];
cx 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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5,
11.5,
13,
-3,
2,
14,
9.5,
12.5
] | 0.970283 | [
0.07402068680094753,
1.5073614578039751,
-1.2666992684437206,
-1.7659760581336494,
1.1918964393531186,
-0.7174241288636667,
-1.2945818069295907,
0.640345842373991,
-2.0164039672798895,
0.906754320820238,
1.1291606588504102,
-0.0963225932464942,
-0.514025711468184,
-0.3896493296815006,
-0... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -59.5,
"target_ratio": 0.97,
"target_value": -57.714999999999996
} | 81 |
f3005da29ffd173bf0ed7f51c570b121 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"sour... | {"states": [52, 308], "expectation_value": -6.4623835323186825, "params": [[[0.7956000000000001, 0.1998, 0.0016, 0.0085], [-0.0198, -0.4264, 0.3462, -0.3653], [-0.0582, 0.024300000000000002, 0.0582, 0.33190000000000003], [0.23140000000000002, 0.29550000000000004, 0.0071, 0.43760000000000004], [-0.008, 0.0438, 0.0179, -... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) ... | 11 | 9 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["001011011", "011001011", "111001001", "110011001"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.553521503646272) q[0];
rz(-0.019510139465609228) q[0];
ry(-0.12096047875968062) q[1];
rz(-0.3601986697536609) q[1];
cx q[1], q[0];
ry(1.8822936609867256) q[0];
rz(0.5201568915001235) q[0];
ry(0.11756630797235676) q[1];
rz(-0.9398928970912952) q[1];
ry(-0.2456822978... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIIZZI",
"IZIIIIIZI",
"IIIIZIZII",
"IIIIZIIZI",
"IIIZIIZII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZIIIZI",
"IIIZZIIII",
"ZIIIIZIII",
"IIIZIZIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-2,
-1.5,
-1,
-2.5,
-0.5,
0
] | 0.970787 | [
1.553521503646272,
-0.019510139465609228,
-0.12096047875968062,
-0.3601986697536609,
-0.24568229787755608,
-0.18454364837285925,
0.029894002632631957,
0.4701638388170541,
0.017328088471357028,
0.34650362045145633,
0.13006188979252506,
0.3186905735612201,
0.8657360265322346,
-0.355309390519... | {
"n_parameters": 63,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 38 |
23ed60bc96758366e843c21e3bc9a3e0 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [38, 7], "expectation_value": -5.504697975630771, "params": [[0.06280000000000001], [-0.0603]], "bitstrings": ["11011001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.005913249966712305, 0.006236753141285109], "optimization_time": 4.062014579772949} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.... | 5 | 8 | 1 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(2.2678692430954843) q[0];
ry(0.133982112329514) q[0];
rz(-1.6423171496700617) q[0];
rz(2.865239814634158) q[1];
ry(0.10791559648463672) q[1];
rz(-2.28638342328192) q[1];
rz(1.9493878355086798) q[2];
ry(0.421390967996594) q[2];
rz(-1.6340873891194703) q[2];
rz(1.60446... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
2.75,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.5,
-6.5
] | 0.970676 | [
-0.1009869528208311,
0.2011463194306295,
-0.18388450202335396,
0.11641300867557425,
-0.1790840385320124,
0.2759826702065239,
0.2521979674672631,
-0.4285969017555645,
-0.1906059886326268,
0.9293906646938866,
0.9046304454595955,
0.13113208583620667,
1.1395547029818167,
-0.04090143663475966,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 14 |
6851761526785165321 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 4], [8, 9, 5, 1], [8, 7], [0, 9], [0, 6], [8, 1, 3, 6], [8, 2, 5], [10, 5], [0, 7], [9, 3], [1, 4], [1, 7], [8, 1, 2], [9, 4], [8, 10, 6], [2, 5, 7], [4, 6, 7], [3, 4]]} | {"states": [955, 923], "expectation_value": -4.70508536116392, "params": [[[-0.0028, 0.0007, 0.0006000000000000001, 0.0081], [1.0432000000000001, 0.0026000000000000003, 1.0456, 0.0008], [2.3896, 0.0044, 0.0019, 0.008700000000000001], [0.0026000000000000003, 0.4441, 1.5682, 0.0089], [-0.0022, 0.0039000000000000003, 0.00... | 0.5 * (Z(10) @ Z(4)) + 0.16666666666666666 * (Z(8) @ Z(10)) + 0.5 * (Z(9) @ Z(4)) + 0.08333333333333333 * (Z(9) @ Z(8)) + 0.5 * (Z(5) @ Z(10)) + 0.25 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(9)) + 0.5 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(1) @ Z(8)) + 0.08333333333333333 * (Z(1) @ Z(9)) + 0.083333333333333... | 12 | 11 | 1 | {"smallest_eigenvalues": [-5.249999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.166666666666663, "smallest_bitstrings": ["10001100100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.011023802434038783) q[0];
rz(0.04963111496988243) q[0];
ry(1.2159824637165277) q[1];
rz(-0.16555594664818052) q[1];
cz q[1], q[0];
ry(2.188714126333136) q[1];
ry(2.7886574251537084) q[2];
rz(-0.216607185255935) q[2];
ry(-0.16555594664818052) q[3];
rz(0.2925006098... | OPENQASM 3.0;
include "stdgates.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": []} | [
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"IZIIIIZIIII",
"IZZIIIIIIII",
"ZIIIIZIIIII",
"IIZIIZIIIII",
"IZIIIZIIIII",
"IIIIIIZIIZI",
"IIZIIIIIIZI",
"IZIIIIIIIZI",
"IIIIIZIIIZI",
"IIIZIIZIIII",
"IIZZIIIIIII",
"IIIZIZIIIII",
"IIIZIIIIIZI",
"IZIIIIIIIIZ",
"IIIZIIIIIIZ",
"IIIIZIZIIII",
"ZIIIZIIII... | [
0.5,
0.16666666666666666,
0.5,
0.08333333333333333,
0.5,
0.25,
0.08333333333333333,
0.5,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.25,
0.0833333333333... | 0.975121 | [
-0.011023802434038783,
0.04963111496988243,
1.2159824637165277,
-0.16555594664818052,
2.7886574251537084,
-0.216607185255935,
0.2925006098919982,
0.019655463173700552,
-0.03760755107674537,
2.1159572770286648,
-0.3657921344106507,
3.2067631141734854,
0.0044693931201822785,
0.07863449886050... | {
"n_parameters": 29,
"n_qubits": 11,
"optimal_eigenvalue": -5.249999999999997,
"target_ratio": 0.97,
"target_value": -5.092499999999998
} | 6 |
bb51b85a8f0cca1e878093cb2d4e9f25 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 7, "source": 1, "target": 2}, {"weight": 43, "source": 1, "target": 3}, {"weight": 42, "source": 1, "target": 4}, {"weight": 5... | {"states": [61117, 59325], "expectation_value": -15.273555618327473, "params": null, "bitstrings": ["0001000101000010", "0001100001000010"], "total_optimization_steps": 100, "probabilities": [0.04222499524777604, 0.7004648347042952], "optimization_time": 1225.6995632648468} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-15.999999999999963], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999948, "smallest_bitstrings": ["0001100001000010"], "largest_eigenvalue": 56.000000000000114} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | null | {"start_node": 0, "end_node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5708) q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[... | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
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0.5,
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... | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
290545599422189146 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 3, 5], [8, 1, 7], [2, 3, 6], [0, 1, 3, 5, 6], [9, 3, 5, 6], [8, 0, 5], [8, 2], [2, 5, 6, 7], [9, 3, 6, 7], [9, 4], [1, 4], [8, 0, 6, 7], [8, 3], [8, 4, 5, 7], [3, 4, 5, 6]]} | {"states": [861, 981], "expectation_value": -2.309721169606223, "params": [1.1925000000000001, 0.1038, 1.1977, 0.0025, 1.2021000000000002, -0.0281, 1.194, 0.0012000000000000001, 1.0451000000000001, -0.0227, 1.0157, 0.008, 1.1909, 0.030100000000000002, 1.1855, 0.0045000000000000005, 0.5766, 0.3267, 0.5799000000000001, 0... | 0.1 * (Z(0) @ Z(1)) + 0.05 * (Z(2) @ Z(1)) + 0.05 * (Z(2) @ Z(0)) + 0.1 * (Z(3) @ Z(1)) + 0.1 * (Z(3) @ Z(0)) + 0.21666666666666667 * (Z(3) @ Z(2)) + 0.1 * (Z(5) @ Z(1)) + 0.26666666666666666 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.26666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(1)... | 5 | 10 | 1 | {"smallest_eigenvalues": [-4.449999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.316666666666666, "smallest_bitstrings": ["0000101010"], "largest_eigenvalue": 13.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.7214964197862088) q[0];
rz(-0.1452426463605594) q[0];
rx(1.2157697884660676) q[1];
rz(0.46369572254296365) q[1];
rx(1.659064622315575) q[2];
rz(0.16621213819877845) q[2];
rx(1.5591352045272913) q[3];
rz(0.4016153709609789) q[3];
rx(-0.18020398971697937) 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIIZIZIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IZIIIIZIII",
"IZIIZIIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZIZIIIII"... | [
0.1,
0.05,
0.05,
0.1,
0.1,
0.21666666666666667,
0.1,
0.26666666666666666,
0.13333333333333333,
0.26666666666666666,
0.16666666666666666,
0.25,
0.5,
0.5,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.3333333333... | 0.97029 | [
1.721496419786209,
-0.19442548998797382,
1.2157697884660679,
0.48400084754481476,
1.659064622315575,
0.15828136362170794,
1.559135204527291,
0.4278196118782539,
-0.1802039897169794,
0.6508883440980279,
1.2680135886170325,
-0.08614064374637567,
0.20042091926152122,
-0.013524755814625209,
... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -4.449999999999999,
"target_ratio": 0.97,
"target_value": -4.3165
} | 76 |
df6b0a55435c2e6f48611bfeaa2a8959 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [63, 47], "expectation_value": -5.341472399099187, "params": [-0.0025, 0.006200000000000001, 0.0024000000000000002, 0.003, -2.3216, 0.0027, -1.5471000000000001, 0.0081, -1.6017000000000001, 0.0039000000000000003, 3.1439000000000004, 0.0034000000000000002, 3.1444, 0.0037, 3.1435, 0.0014, 0.008700000000000001,... | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11001000", "11010000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.023782534509358612) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.2362354194851212) q[1];
cx q[5], q[1];
cx q[0], q[1];
rz(-0.2362354194851212) q[1];
cx q[0], q[1];
cx q[5], q[2];
rz(-0.2362354194851212) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": 4} | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIIZZ",
"IIZIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IZZIIIII",
"IZIIIIZI",
"ZIZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIZIZI",
"IZIIZIII",
"ZIIIZIII",
"IIIZIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIIZZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IZIIIII... | [
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
1.5,
-0.5,
0.5,
0,
2,
2,
-0.5,
-0.5
] | 0.690016 | [
0.023782534509358612,
-0.2362354194851212,
0.0030841673081000017,
-1.5267108229648716,
-1.5111620816372704,
-1.5332934594005045,
1.9304385541401896
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 207 |
2cd9688dd7e6e70fe4c6359393ef8382 | 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": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -7.338384836534548, "params": [0.001, -0.0732, -0.0026000000000000003, -0.12560000000000002, 0.0048000000000000004, -0.1424, 0.0007, -0.14830000000000002, 0.0064, -0.06810000000000001, 0.0057, -0.0795, 0.0064, -0.10880000000000001, -0.00030000000000000003, -0.14600000000000002, 0... | -0.5 * (Z(0) @ Z(2)) + 0.75 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + 1.75 * Z(2) + -0.25 * Z(0) + 0.75 * Z(8) + -0.75 * Z(1) + 1.2... | 5 | 9 | 4 | {"smallest_eigenvalues": [-8.75, -8.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.75, "smallest_bitstrings": ["111111110", "111111010"], "largest_eigenvalue": 12.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.2149688734959462) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.13738777750806166) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.23872743880432903) q[4];
cx q[1], q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[7];
rz(-0.137... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIZIIII",
"IIIIIZZII",
"IZIIIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII"
] | [
-0.5,
0.75,
-0.75,
-1.5,
-0.75,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.25,
1.75,
-0.25,
0.75,
-0.75,
1.25,
-1.25,
-1.25,
-0.5,
0.25
] | 0.970521 | [
-0.2149688734959462,
0.4265076445421939,
-0.13738777750806166,
-0.23872743880432903,
-0.3419395562464357,
-0.12748383700911398,
-0.7787600893417008,
-0.6355993014444166,
-0.16756292439520398,
-1.5773406351566481,
-0.5398038495912184,
0.7687771176116346,
-0.2060990217587597,
-0.540792904975... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 230 |
a6e15f3d5d0d57da2b41d67529c98500 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target":... | {"states": [0, 511], "expectation_value": -29.599856363405426, "params": [[[0.0028, 1.5995000000000001], [0.0027, -0.0026000000000000003], [0.0017000000000000001, 0.0021000000000000003], [0.0019, 0.002], [-0.0029000000000000002, 0.0021000000000000003], [0.002, 0.0023], [0.0024000000000000002, 0.002], [0.0025, -0.0019],... | -3.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -3.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 1.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(5)) + -3.0... | 15 | 9 | 1 | {"smallest_eigenvalues": [-33.0, -33.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -32.0, "smallest_bitstrings": ["000000000", "000000011"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.5869293518580443) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.3314258270673372) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.5555441508254739) q[4];
cx q[0], q[4];
h q[5];
cx q[2], q[5];
rz(0.11724520191233448) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIZIII",
"IIIIIZIZI",
"... | [
-3,
1,
-3.5,
0.5,
-3,
-3,
0.5,
-3,
-3,
1.5,
0.5,
1.5,
-3,
-3,
-3,
-2.5,
1,
-3.5,
1,
1,
-3,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
1
] | 0.54754 | [
0.5869293518580443,
0.3314258270673372,
0.5555441508254739,
0.11724520191233448,
0.3892923681803767,
0.671506780121363,
1.3255337221162977,
0.7170524369203495,
1.0239343834142822
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -33,
"target_ratio": 0.97,
"target_value": -32.01
} | 236 |
bb51b85a8f0cca1e878093cb2d4e9f25 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 7, "source": 1, "target": 2}, {"weight": 43, "source": 1, "target": 3}, {"weight": 42, "source": 1, "target": 4}, {"weight": 5... | {"states": [49133, 47085], "expectation_value": -13.270582661967198, "params": [1.4777, -0.226, 1.3243, 0.0068000000000000005, 1.0753000000000001, -0.3635, 0.9132, 0.0088, 1.4827000000000001, -0.2456, 1.3303, 0.0085, 1.4751, -0.2127, 1.2283000000000002, 0.0061, 1.4184, -0.3508, 0.9393, 0.0091, 1.4717, -0.17250000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) ... | 5 | 16 | 1 | {"smallest_eigenvalues": [-15.999999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999956, "smallest_bitstrings": ["0100100000010010"], "largest_eigenvalue": 55.99999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"start_node": 0, "end_node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
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,
0.5,
0.5,
0.5,
0.5,
0.5,
0... | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
1933e8b73d4f27169594b5a37f23f4e2 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [112, 28], "expectation_value": -0.7634140695890519, "params": [[0.0721, 0.07050000000000001], [-0.0626, -0.0668]], "bitstrings": ["0001111", "1100011"], "total_optimization_steps": 10, "probabilities": [0.01138131116054584, 0.01148359704618659], "optimization_time": 3.3923187255859375} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + -1.5 * Z(1) + -1.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101110", "0001111", "1100011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.8785617532809386) q[0];
rz(1.5021759791746723) q[0];
rx(0.18750221656773378) q[1];
rz(1.610386357447335) q[1];
rx(0.6526873554626819) q[2];
rz(1.5639732718255024) q[2];
rx(-0.012452119729280793) q[3];
rz(1.6670235805521898) q[3];
rx(0.18135410988127476) q[4];
rz(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;
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[3], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"ZIIZIII",
"ZIZIIII",
"ZIIIIZI",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-1.5,
-1,
0
] | 0.98096 | [
0.8785617532809387,
-0.06862034762022431,
0.18750221656773375,
0.03959003065243816,
0.6526873554626819,
-0.006823054969394506,
-0.012452119729280793,
0.09622725375729248,
0.18135410988127476,
-0.46988664665471536,
-0.0942321217772507,
0.12610127432036736,
0.7918857798860538,
-0.11918754873... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 10 |
-4140279770655496618 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[3, 4], [0, 4], [1, 2], [0, 2], [0, 1]]} | {"states": [13, 5], "expectation_value": -1.2713277891718948, "params": null, "bitstrings": ["10010", "11010"], "total_optimization_steps": 28, "probabilities": [0.34954590144511727, 0.41861260841826425], "optimization_time": 18.890398263931274} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.5, "smallest_bitstrings": ["00101", "01001", "11010", "01101", "10110", "10010"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.13660454784533765) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.13660454784533765) q[3];
h q[4];
cx q[4], q[0];
ry(0.13660454784533765) q[0];
cx q[4], q[0];
cx q[4], q[3];
ry(-0.19938799707667515) q[0];
cx q[2], q[0];
ry(0.19938799707667515) q[0];
cx q[2], q[0];
ry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"ZZIII",
"ZIIIZ",
"IIIZZ",
"IIZIZ",
"IIZZI",
"ZIIII",
"IZIII",
"IIIIZ",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.983835 | [
-0.2732090956906753,
1.604890637711542,
-0.3987759941533503,
1.4877430329618035,
-0.06713273656637642,
-1.340522093907362,
0.02429131624448224,
0.1218040799606052,
-0.20101405573924908,
-1.1821902853565331,
-0.05581721242059237,
0.8044252550804925,
-0.6708999123121442,
-0.3773566270220149,... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 30 |
4b8fbd5896b2ae05c23559ddf2df97f7 | 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": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "... | {"states": [0, 4095], "expectation_value": -16.20056643006663, "params": [[[0.0023, 1.611], [0.0016, 0.0024000000000000002], [0.0019, 0.0018000000000000002], [0.0021000000000000003, 0.002], [0.0016, 0.0019], [0.0016, 0.002], [0.0016, 0.0021000000000000003], [-0.0035, 0.0023], [0.0024000000000000002, 0.0027], [0.002, 0.... | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(2)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(9)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(8)) + -2.5 * (Z(11) @ Z(9)) + 0... | 15 | 12 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.03784705501568812) q[0];
ry(0.18104205296886527) q[1];
ry(-0.03906431488862169) q[2];
ry(0.007155713586470658) q[3];
ry(0.18104205296886527) q[4];
ry(0.18104205296886527) q[5];
ry(0.18104205296886527) q[6];
ry(-0.33766742087111) q[7];
ry(-0.11810353604810414) q[8... | 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[12] c;
qubit[12] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2]... | {"node": 12} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIZIZIII",
"IIIIIIZIIZII",
"IIIIIIIZZIII",
"IIIIIIIZIZII",
"IIIIIZIIZIII",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIIZIIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIII... | [
-1,
-2.5,
0.5,
-1.5,
-2,
0.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
-2,
-2.5,
0.5,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
1
] | 0.97436 | [
-0.03784705501568812,
0.18104205296886527,
-0.03906431488862169,
0.007155713586470658,
-0.33766742087111,
-0.11810353604810414,
0.046909722221257326,
-0.07986513803841047,
0.12156220750789003,
3.251766389911711,
0.07093787671782723
] | {
"n_parameters": 11,
"n_qubits": 12,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 17 |
e835252475fa0fecf397777d8ef59973 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [85, 341], "expectation_value": -1.6827183703608972, "params": [[[1.5968, 0.0007], [0.5525, 0.0048000000000000004], [1.602, 0.0088], [0.9937, 0.0092], [1.6138000000000001, 0.0045000000000000005], [0.5271, 0.0029000000000000002], [1.6112000000000002, 0.0027], [0.0026000000000000003, 0.0048000000000000004], [1... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(0) @ Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(6) @ Z(7)) + 0.125 * (Z(6) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.375, "smallest_bitstrings": ["010101010"], "largest_eigenvalue": 7.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(3.1450619604334618) q[0];
rz(-1.2318878993444928) q[0];
rx(0.09848752382191034) q[1];
rz(0.6297165269722199) q[1];
rx(3.5612321464065935) q[2];
rz(0.402831792482638) q[2];
rx(-0.11443151951002058) q[3];
rz(-1.4620908418108745) q[3];
rx(3.4003894681965203) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIIZZIZ",
"IIIZZIIII",
"IIIIIIZZI",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IZZIIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IZZIZIIII",
"ZIZIZIIII",
"ZZIIZIIII",
"ZZZIIIIII",
"ZZZIZIIII",
"IIZZIIIII",
"ZIIIIZIII",
"IIIIIIIIZ",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.125,
-0.5,
-0.125,
-0.625,
-0.125
] | 0.97111 | [
3.1450619604334618,
-1.2318878993444928,
0.09848752382191034,
0.6297165269722199,
3.5612321464065935,
0.402831792482638,
-0.11443151951002058,
-1.4620908418108745,
3.4003894681965203,
0.5450313598982321,
0.050149852438097595,
-1.0161405110902075,
3.063776962657229,
0.15548212987549243,
0... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -4.375,
"target_ratio": 0.97,
"target_value": -4.2437499999999995
} | 23 |
93141c357d164fcf2a36ba666f8f01e3 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [1, 8], "expectation_value": -9.567863056373476, "params": null, "bitstrings": ["1110", "0111"], "total_optimization_steps": 18, "probabilities": [0.26405862346310693, 0.6224927337877648], "optimization_time": 8.047037839889526} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + -4.75 * Z(1) + -4.5 * Z(0) + -4.75 * Z(2) + -4.5 * Z(3) | 9 | 4 | 4 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1110", "0111"], "largest_eigenvalue": 29.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-0.5729) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
-4.75,
-4.5,
-4.75,
-4.5
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
a6b81bd94db1dc24b1e0e42e6a7091b4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 16, "source": 1, "target": 4}, {"weight": 9, "source": 2, "tar... | {"states": [250, 218], "expectation_value": -11.534657422559793, "params": [[0.0514], [-0.0838]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.004645563599366447, 0.005279334379774669], "optimization_time": 3.5800352096557617} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) + 5.0 * Z(0) + 12.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 149.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.744140712049382) q[0];
rz(-0.0472961356517434) q[0];
rx(3.110384720259039) q[1];
rz(0.22796018602275503) q[1];
rx(3.1447279415560803) q[2];
rz(-0.5280722703690759) q[2];
rx(0.2303163344266575) q[3];
rz(-0.9377822736725943) q[3];
rx(3.117670039049346) q[4];
rz(0.530... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
13,
5,
12.5,
14.5,
4.5,
14,
9.5,
15.5,
2
] | 0.975861 | [
0.7441407120493821,
-0.10353319362533349,
3.110384720259039,
0.22796018602275503,
3.1447279415560803,
-0.5280722703690759,
0.2303163344266575,
-0.9377822736725943,
3.117670039049346,
0.530377326005906,
2.973122811681948,
-0.3866238784758647,
0.057713943702765926,
0.04753547702156585,
3.1... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 21 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [50, 42], "expectation_value": -0.4793058084636991, "params": [[-0.034300000000000004, -0.0347, -0.054, -0.051500000000000004], [0.0318, 0.0246, 0.051000000000000004, 0.0579]], "bitstrings": ["001101", "010101"], "total_optimization_steps": 10, "probabilities": [0.022998025100745258, 0.02299802510074527], "o... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "001101"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"ZIIIIZ",
"IIZIZI",
"IIZZII",
"IIIZZI",
"IZZIII",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
87caa31bd5898ba70984deddfd0af9cf | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 18, "source": 1, "target": 8}, {"weight": 15, "source": 1, "target": 6}, {"weight": 16, "sourc... | {"states": [457, 201], "expectation_value": -60.558361865546665, "params": [[[0.7791, -0.6586000000000001], [1.5734000000000001, -0.003], [1.5642, 0.0028], [-0.0028, 1.2087], [-0.0025, 1.5526], [1.5746, -0.0029000000000000002], [-0.0023, 1.2898], [0.0021000000000000003, 1.1089], [1.5677, 0.0027]], [[0.7762, 0.000300000... | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 7.5 * Z(2) +... | 1 | 9 | 2 | {"smallest_eigenvalues": [-61.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["100110110"], "largest_eigenvalue": 97.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.0314108899099406) q[0];
ry(1.4702296425702437) q[0];
rz(-1.9930207436655087) q[0];
rz(2.2072347485496593) q[1];
ry(3.021421009145621) q[1];
rz(-0.9119666372239212) q[1];
rz(-3.052855225111153) q[2];
ry(3.045067427481058) q[2];
rz(0.007576635987096125) q[2];
rz(2.27... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIZIIIZI",
"IIZZIIIII",
"IZIIIIZII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
7.5,
4.5,
-4,
7,
1,
-5.5,
3,
2,
-11.5
] | 0.986193 | [
0.705615562123747,
-0.718223383660212,
1.4678140586383097,
0.07131220414394866,
1.573190310033539,
0.09614609136579398,
0.016790897783379,
1.4022867023347352,
-0.05931593079409136,
1.6475121533418533,
1.713263049719569,
0.07716185803558877,
0.009533744704124245,
1.2894444951869282,
-0.07... | {
"n_parameters": 32,
"n_qubits": 9,
"optimal_eigenvalue": -61,
"target_ratio": 0.97,
"target_value": -59.17
} | 1 |
40fb25e3696a29b105250788d9c8e41f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [246, 118], "expectation_value": -60.64603319417019, "params": [0.4829, -0.23570000000000002, 0.9922000000000001, 0.008400000000000001, 0.9967, -0.0023, 0.9904000000000001, 0.1453, 0.1731, 0.5762, 0.996, -0.0004, 0.9973000000000001, 0.24810000000000001, 0.3766, 0.43970000000000004, 0.48310000000000003, -0.24... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(0)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 11.0 * Z(0) + 17.0 * Z(2) + 20.0 * Z(3) + ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 143.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.06304475225518759) q[0];
rz(-0.37721963926044344) q[0];
rx(1.0987820351553892) q[1];
rz(0.04941716112169647) q[1];
rx(0.900147345954726) q[2];
rz(0.03872040068631923) q[2];
rx(1.1245417325876699) q[3];
rz(-0.0647446899750364) q[3];
rx(-0.055511428310422134) 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], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIZIZIII",
"IIIZIIZI",
"IIZZIIII",
"IZIIIIIZ",
"ZIIIIZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
15.5,
11,
17,
20,
8.5,
1,
6.5,
4
] | 0.97088 | [
0.06304475225518757,
-0.04750386375876925,
1.0987820351553892,
0.04941716112169647,
0.900147345954726,
0.03872040068631923,
1.1245417325876699,
-0.0647446899750364,
-0.055511428310422134,
0.6197240667087585,
1.137452327856719,
0.056390461300789826,
0.705803861154426,
0.26213651707673424,
... | {
"n_parameters": 67,
"n_qubits": 8,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 11 |
9eb990d2817d4507a1e9a1f31f8f79ce | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [68, 56], "expectation_value": -2.5042414253426912, "params": [[-0.06860000000000001, -0.0776, -0.0845], [0.0629, 0.0717, 0.076]], "bitstrings": ["0111011", "1000111"], "total_optimization_steps": 10, "probabilities": [0.01787654482474982, 0.019597329995407677], "optimization_time": 5.416449785232544} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["1000111"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.12292647584711837) q[0];
rz(-pi) q[0];
ry(-2.9613768013484556) q[1];
rz(-pi) q[1];
h q[2];
ry(1.3499241235450232) q[2];
cx q[2], q[0];
ry(0.010920664489540308) q[0];
cx q[2], q[0];
ry(0.09110301832663617) q[2];
ry(-0.02872093900862384) q[0];
h q[3];
ry(1.385647948... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIIZ",
"IZIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZZIIIII",
"IIZIIZI",
"IIZIZII",
"IZZIIII",
"ZIZIIII",
"IZIZIII",
"ZIIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIZIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1.5,
-2,
-2.5,
-2,
-1
] | 0.997369 | [
-1.5454072326597215,
-1.5443650010788166,
-1.436949186458238,
1.3856479485248068,
1.3499241235450232,
-0.021841328979080615,
0.08131270201707194,
0.18220603665327234,
0.1050766275521009,
-0.002619135292361735,
-0.05744187801724768,
-0.08585061621585412,
0.07397892349269623,
0.0128536980205... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 1 |
36d9a5cf3521b49d4476ce715d8c0ad7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capaci... | {"states": [23, 5], "expectation_value": -4.408433783930409, "params": [[-0.0629, -0.0468, -0.0432, 0.0064], [0.076, 0.0645, 0.0675, 0.0379]], "bitstrings": ["101000", "111010"], "total_optimization_steps": 10, "probabilities": [0.06030552329924266, 0.06353890538976878], "optimization_time": 6.083940267562866} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(5)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.0 * Z(2) + -0.5 * Z(4) + 1.0 * Z(5) + 1.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6292887025535705) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.04618041281989933) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.007673726159640182) q[2];
cx q[0], q[2];
rz(-0.6083754899099731) q[2];
rx(-1.404979792842081) q[2];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"IIZIZI",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
-0.25,
-0.75,
-1.25,
-2.5,
-1.25,
-0.5,
3,
-0.75,
-0.75,
-1.5,
0.25,
-0.25,
-2,
-0.5,
1,
1.5
] | 0.970099 | [
-0.6292887025535705,
0.04618041281989933,
-0.007673726159640182,
0.0014916916360776782,
-0.46060734627126926,
0.3239788305077106,
0.01849303280472035,
-0.5146328598809707,
-0.6083754899099729,
0.8594047236079715,
0.5729854675707052,
-1.404979792842081,
-0.3213977582439117,
0.02464735125219... | {
"n_parameters": 36,
"n_qubits": 6,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 216 |
29f2557af226797940f1e2f369bbe3e5 | 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": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [56, 184], "expectation_value": -5.6476024764117785, "params": [0.2106, -0.0007, 0.21280000000000002, -0.0018000000000000002, 0.0008, 0.1945, -0.00030000000000000003, 0.1902, 0.29650000000000004, 0.0012000000000000001, 0.2993, 0.0128, 0.3014, 0.0044, 0.30310000000000004, -0.0001, 0.30660000000000004, -0.0031... | 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(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 *... | 7 | 8 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01000111"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.5200201254708653) q[0];
rz(-0.04730958084975878) q[0];
rx(-0.11410583633975248) q[1];
rz(-0.07112795531863167) q[1];
cx q[1], q[0];
rz(0.07162858517630027) q[0];
cx q[1], q[0];
rz(1.5727602558585847) q[0];
ry(0.49327982691434363) q[0];
rz(-1.7907371384916249) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIIZI",
"IIZIIIIZ",
"IZIIIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIIZIZI",
"IIIZIIZI",
"IZIZIIII",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
-1,
-1.5,
0,
-0.5,
-1
] | 0.971927 | [
0.5200201254708654,
0.024319004326541646,
-0.11410583633975248,
-0.07112795531863167,
0.05549921648942336,
0.051374519838569714,
0.3607815317613725,
-0.09103866642083623,
0.42707381024996593,
0.08922226631319341,
0.04159115758398002,
-0.018812418764670942,
0.10378754529314668,
0.1020066500... | {
"n_parameters": 144,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 11 |
2189038496565069660 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3], [1, 4, 5, 7], [0, 1, 2, 7], [5, 6]]} | {"states": [108, 236], "expectation_value": -1.2368364580704918, "params": null, "bitstrings": ["10010011", "00010011"], "total_optimization_steps": 54, "probabilities": [0.10899864698433152, 0.5466707863926598], "optimization_time": 84.15711855888367} | 0.25 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.333333333333333, "smallest_bitstrings": ["00101010", "10010100", "01000010", "00010011", "10011010"], "largest_eigenvalue": ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(1.4690458155008015) q[1];
h q[2];
h q[3];
ry(-0.17119570432150794) q[3];
cx q[2], q[3];
ry(0.17119570432150794) q[3];
cx q[2], q[3];
ry(-0.24231503022943002) q[3];
ry(0.4253041685490222) q[2];
h q[4];
h q[5];
h q[6];
ry(-0.46053681076913094) q[6];
cx ... | 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(1.3603) 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[... | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIZIZ",
"IIIIIIZZ",
"ZIIIIIIZ",
"IZZIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IZIIIIII"
] | [
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.29166666666666663,
0.... | 0.971734 | [
1.4690458155008015,
-0.9210736215382619,
0.8271068713254088,
-0.43371969431487045,
0.6495710812236709,
-0.4156210520091963,
-0.34239140864301587,
0.4253041685490222,
0.14970126360602812,
0.5728753429936099,
-0.48463006045886003,
0.3311249365278287,
-0.3793679865406752,
-0.4788796670708429,... | {
"n_parameters": 51,
"n_qubits": 8,
"optimal_eigenvalue": -1.3333333333333333,
"target_ratio": 0.97,
"target_value": -1.2933333333333332
} | 7 |
1acf7607c7ee29e36b87a4b01083b206 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 3, "target": 5}, {"capaci... | {"states": [21, 31], "expectation_value": -4.478958451961376, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 52, "probabilities": [0.16347067988755046, 0.5183808250580454], "optimization_time": 46.342572927474976} | -1.5 * (Z(0) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.06827815816356449) q[0];
h q[1];
ry(0.28864931235364366) q[1];
h q[2];
h q[3];
cx q[3], q[1];
ry(-0.28864931235364366) q[1];
cx q[3], q[1];
ry(0.2691310622985146) q[3];
ry(0.7286787559448862) q[1];
h q[4];
ry(1.1406820502596924) q[4];
cx q[2], q[4];
ry(-1.... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.57) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"s... | [
"IZIIIZ",
"IZIIZI",
"IIZIZI",
"IZIZII",
"ZZIIII",
"ZIIIIZ",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-0.25,
-1.25,
-1,
-1.5,
1.75,
-0.25,
0.25,
-0.25,
1,
-1,
0,
0
] | 0.970202 | [
0.5772986247072873,
-0.13655631632712897,
1.4784928192670517,
2.2813641005193848,
2.1336059398620155,
0.08833575044167,
-0.9910259827145842,
0.04008808361503387,
0.5382621245970292,
1.4573575118897724,
1.1779871136653997,
-0.41195736481598083,
0.047345997501894194,
0.04288036191304298,
-... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 97 |
c502b67eb6d91d909ba398fa39bec60c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [8, 0], "expectation_value": -2.124971219237058, "params": [-0.0054, 0.0517, -0.0048000000000000004, -0.0118, -0.005, 0.0733, -0.0049, -0.0449, -0.0009000000000000001, 0.0034000000000000002, 0.0011, 0.0037, -0.0002, 0.0014, -0.001, 0.0047, 0.0506, -0.0375, 0.0179, -0.0548, 0.0058000000000000005, 0.0054, 0.00... | 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)) + -0.625 * Z... | 18 | 4 | 2 | {"smallest_eigenvalues": [-2.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.125, "smallest_bitstrings": ["1111"], "largest_eigenvalue": 3.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(-0.057394609977100594) q[0];
ry(1.5139044986832286) q[1];
ry(0.02914218421175388) q[2];
ry(-0.044368933537627414) q[3];
ry(1.4230068144719492) q[4];
ry(-0.11603950978641897) q[5];
ry(-0.5094548802261205) q[6];
ry(0.04971594069488461) q[7];
ry(0.04895829829331563) 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": []} | [
"IIZZ",
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"ZZII",
"IZZZ",
"ZIZZ",
"ZZIZ",
"ZZZI",
"ZZZZ",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.625,
-0.625,
-0.625,
-0.625
] | 0.971723 | [
-0.057394609977100594,
1.5139044986832286,
0.02914218421175388,
-0.044368933537627414,
1.4230068144719492,
-0.11603950978641897,
-0.5094548802261205,
0.04971594069488461,
0.04895829829331563,
-0.1877934380534667,
1.2428533808206035,
0.09499352879649384,
2.05426296872183,
0.0193934036593824... | {
"n_parameters": 30,
"n_qubits": 15,
"optimal_eigenvalue": -7.999999999999979,
"target_ratio": 0.97,
"target_value": -7.759999999999979
} | 54 |
b5e7e2797d8b3a448650a56d35ed7f4a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [21, 1], "expectation_value": -3.639596744722745, "params": [[-0.0584, -0.058600000000000006, -0.054700000000000006, -0.0386], [0.0693, 0.0722, 0.0724, 0.0655]], "bitstrings": ["11101010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.01889319874305628, 0.0248408976064596], "optimization_t... | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + -0.75 * Z(6) + -0.75... | 1 | 8 | 4 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.008805449081746186) q[0];
rz(0.008805449081746186) q[0];
rx(-0.06507551884342087) q[1];
rz(0.07837949212351895) q[1];
rx(0.11121083091104535) q[2];
rz(-0.12325739099878535) q[2];
rx(0.11121083091104535) q[3];
rz(-0.19545083417781706) q[3];
rx(0.23085209549836783) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IIIIIZZI",
"IIIZIZII",
"IZIZIIII",
"IIZIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.5,
-0.25,
-0.5,
-2.25,
-0.5,
-0.75,
-1.75,
-0.5,
-0.75,
1.75,
-0.25,
0.5,
-0.25,
0.5,
-0.75,
-0.75,
0,
-0.75,
1.5
] | 0.982302 | [
0.008805449081746186,
-0.06507551884342087,
0.07837949212351895,
0.11121083091104535,
-0.12325739099878535,
-0.19545083417781706,
0.23085209549836783,
0.25202255510293076,
0.018150580089486897,
0.04944532338292,
0.24812448242597843,
2.8641026750519627,
0.20462351945670706
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 10 |
d1df537b8f7eacc6f0ca14b18760c116 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [442, 509], "expectation_value": -4.761290334633796, "params": [[0.2564], [-0.2559]], "bitstrings": ["1001000101", "1000000010"], "total_optimization_steps": 30, "probabilities": [0.005999732625055761, 0.005999732625055763], "optimization_time": 5.7218406200408936} | 1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000000010", "1000000001", "1001000101", "1001000110"], "largest_eigenvalue": 28.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.7937705898048096) q[0];
h q[1];
ry(0.6192559707330874) q[1];
h q[2];
ry(1.545665404851387) q[2];
h q[3];
ry(0.8722854136704878) q[3];
h q[4];
ry(1.545665404851387) q[4];
cx q[4], q[1];
ry(-0.6192559707330874) q[1];
cx q[4], q[1];
cx q[4], q[0];
ry(0.79377... | 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[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]... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIZIIIZIII",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIZIIZIIII",
"IIIIZIZIII",
"IIZIZIIIII",
"IIIIZZIIII",
"IIIZIIZIII",
"IIZZIIIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIZIIIZ",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZIIIIIIIZ"... | [
1,
-1,
0.5,
0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
2,
2,
1.5,
-1.5,
2.5,
1.5,
1.5,
0.5,
-1,
-1
] | 0.99397 | [
1.545665404851387,
1.7445708273409757,
1.5815739478927993,
1.2385119414661747,
-1.5875411796096193,
1.0341795361675983,
1.443948565645053,
-1.2687313125160538,
0.7910102675394354,
-0.49367531849502655,
0.5884490707767628,
-0.34137358121040356,
0.3593949234668095,
0.15884005412046098,
0.3... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 1 |
71367829fb7ce1f5a160f3ba04793161 | 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": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 3}, {"capac... | {"states": [511, 507], "expectation_value": -18.19822793470239, "params": [[[-0.0181, 0.0022], [0.0014, 0.0068000000000000005], [0.0029000000000000002, 0.0025], [0.0061, 0.0023], [0.0067, 0.0021000000000000003], [0.006, 0.0018000000000000002], [0.011600000000000001, 0.0018000000000000002], [0.5965, 0.002], [-1.63400000... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(8) @ Z(3)) + -1.0 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(4) @ Z(3)) + -0.75 * (Z(4) ... | 15 | 10 | 3 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["1000000100"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.1020176651565532) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.14943741203803373) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[7];
rz(-0.1327626495448805) q[7];
cx q[0], q[7];
cx q[7], q[1];
rz(-0.1327... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIZIIIIIIZ",
"IIIIIIZIZI",
"IIZIIIIIZI",
"IIIZIIIIZI",
"IZIIIIZIII",
"IZZIIIIIII",
"IZIIIIIIZI",
"IZIZIIIIII",
"IIIIIIZZII",
"IIZIIIIZII",
"IIIZIIIZII",
"IIIIIZZIII",
"IZIIIZIIII",
"IIIIIZIZII",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIIZIIII",
"IIZIZIIIII"... | [
-1,
-0.75,
-1.5,
-0.75,
-0.25,
-1.25,
-1,
-0.75,
-0.5,
-0.5,
-1.25,
-0.25,
-0.5,
-0.75,
-0.75,
-1,
2,
-0.75,
-0.75,
-1,
-0.25,
-1.25,
-0.75,
-0.5,
-0.75,
-0.25,
-4.25,
2.25,
0.25,
-2,
1.25,
1.25,
-1,
3.25
] | 0.675694 | [
-0.1020176651565532,
-0.1327626495448805,
0.14943741203803373,
0.014803881867126306,
0.006769824456970853,
0.022583971141477147,
-1.5816271634079384,
1.7888157282648482,
-1.5704591678470958,
-1.5665949136895747,
-1.8570319580148242,
-1.6009813568914788,
-1.5818008743364445,
1.3150781108928... | {
"n_parameters": 14,
"n_qubits": 10,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 444 |
4a01a984c253fac78cca60269d01efc1 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [97, 22], "expectation_value": -0.9196706295229867, "params": [[-0.0488, -0.0664, -0.056600000000000004], [0.0572, 0.0719, 0.0625]], "bitstrings": ["0011110", "1101001"], "total_optimization_steps": 10, "probabilities": [0.013222946255544519, 0.014260232578094677], "optimization_time": 4.235803842544556} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.5 * Z(5) + -1.5 * Z(1) + -0.5 * Z(2) + -1.0 * Z(3) + -0.5 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101110", "0011110", "0110110", "1101001"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.6793430139584373) q[0];
rz(-0.5475083314169016) q[0];
rx(0.09515557675715071) q[1];
rz(0.4627722943263448) q[1];
rx(1.739060974583087) q[2];
rz(0.6202117139471692) q[2];
rx(0.042183941876142855) q[3];
rz(0.392309081606653) q[3];
rx(-0.11805148560226901) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IZIIIZI",
"IIIIZZI",
"IZIZIII",
"IIIZIZI",
"IIIZZII",
"ZIZIIII",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1.5,
-1.5,
-0.5,
-1,
-0.5
] | 0.982293 | [
1.6793430139584373,
-0.2659334535269083,
0.09515557675715071,
0.3302807664246088,
1.739060974583087,
0.3162368239205352,
0.042183941876142855,
0.5392977024642969,
-0.11805148560226902,
0.5788311737990788,
0.08362319787918186,
0.5828470670098009,
1.4443840052954673,
0.3194847730018116,
0.... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 14 |
ac0b6669d03c70fedc6475707b06ba92 | 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": [474, 218], "expectation_value": -43.10860159345162, "params": [0.7725000000000001, 0.2457, 1.205, 0.0252, 1.2048, 0.0944, 0.7876000000000001, 0.3385, 1.197, 0.0443, 1.1981000000000002, 0.1854, 0.665, 0.34990000000000004, 1.2026000000000001, 0.3294, -0.012400000000000001, 0.6937, 0.7728, 0.006800000000000000... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(8) @ Z(7)) + 6.5 * Z(0) + 8.5 * Z(2) + 19.0 * Z(1) + 7.0 * Z(3) + 5.5 * Z(4) + 13.0 * Z(5) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 134.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.05767462098151334) q[0];
rz(-0.09555331312797177) q[0];
rx(1.5671618437256505) q[1];
rz(-0.24771686269331825) q[1];
rx(1.3062820652926515) q[2];
rz(0.3125459328050916) q[2];
rx(-0.18667825411049474) q[3];
rz(0.8832376666540983) q[3];
rx(1.6211154932773246) 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], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIIZ",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6.5,
8.5,
19,
7,
5.5,
13,
3,
8.5,
-2.5
] | 0.974201 | [
0.05767462098151334,
0.27132755438124173,
1.5671618437256505,
-0.24771686269331825,
1.3062820652926515,
0.3125459328050916,
-0.18667825411049474,
0.8832376666540983,
1.6211154932773246,
-0.022466150981301725,
1.4853693107058175,
0.05262835387953624,
0.17359370254168582,
0.5671908370188321,... | {
"n_parameters": 54,
"n_qubits": 9,
"optimal_eigenvalue": -82.5,
"target_ratio": 0.97,
"target_value": -80.02499999999999
} | 19 |
8e57fa8e3a9621a4b48da226f7c0c943 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -10.834162900272437, "params": [0.0023, -0.0616, -0.0014, -0.0913, 0.0024000000000000002, -0.1534, 0.0054, -0.1462, 0.007, -0.1046, 0.0018000000000000002, -0.14200000000000002, -0.0008, -0.1401, 0.0026000000000000003, -0.1484, -0.001, -0.15080000000000002, 0.0067, -0.1592, -0.000... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -0.75 * (Z(2) @ Z(6)) + -1.0 * (Z(4) @ Z(5)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(... | 5 | 9 | 4 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.013639688958081772) q[0];
rz(0.018492637036208848) q[0];
rx(-0.1755522773113407) q[1];
rz(0.02033193037288683) q[1];
rx(0.06842716315919947) q[2];
rz(-0.06841285256611496) q[2];
rx(0.0713125967613267) q[3];
rz(-0.019875508488135907) q[3];
rx(0.1290532005284083) 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",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"IIIIIZIZI",
"IIIZIZIII",
"IIZIIZIII",
"IIZIIIZII",
"IIIZZIIII",
"IIIIZZIII",
"IIIIZIZII",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIZIII",
"... | [
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-1,
-0.75,
-1,
-1,
-1.25,
-0.5,
-0.75,
1.5,
-0.75,
1,
-0.25,
-2.5,
0.75,
0.5,
-0.5,
1.5,
-1.25,
0.75
] | 0.975524 | [
-0.013639688958081772,
-0.04517442126200184,
-0.17555227731134074,
-0.12748278268609053,
0.06842716315919947,
-0.10515655427728576,
0.0713125967613267,
-0.00010406445192739922,
0.1290532005284083,
-0.3525991235096385,
-0.05735739211187075,
-0.15658037789918594,
-0.11172595079605113,
-0.058... | {
"n_parameters": 159,
"n_qubits": 9,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 5 |
3065169488344352514 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 1], [0, 7], [2, 7], [3, 4], [8, 5], [5, 6], [9, 10]]} | {"states": [71, 79], "expectation_value": -0.3757372031252185, "params": [0.618, 0.6237, 0.5198, 0.49670000000000003, 0.5389, 0.5295, 0.6679, 0.6537000000000001, 0.8999, 0.8943000000000001, 0.6908000000000001, 0.6883, 0.678, 0.6596000000000001, 0.8821, 0.8012, 0.8931, 0.8877, 0.8953000000000001, 0.8904000000000001, 0.9... | 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(10) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(9) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(10) | 14 | 11 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.5, "smallest_bitstrings": ["00101001110", "00000101111", "01000110101", "11011010001", "00001001111", "01101010100", "10010101011", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.45548589994241173) q[0];
rz(pi/2) q[0];
ry(-0.8362495026952301) q[1];
ry(0.285816481712877) q[2];
ry(0.3360103784299618) q[3];
ry(0.12794368827548025) q[4];
ry(0.8666414166015601) q[5];
ry(-0.5061091387143714) q[6];
ry(2.520160592489617) q[7];
ry(1.57338535109531... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IZIIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIZIII",
"IIIIIZZIIII",
"IZIIZIIIIII",
"IIIZZIIIIII",
"ZIIIIIIIZII",
"IIIIIIIIIZI",
"IZIIIIIIIII",
"IIZIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"IIIIIIIIZII",
"ZIIIIIIIIII"
] | [
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
] | 0.972349 | [
-0.45548589994241173,
-0.8362495026952301,
0.285816481712877,
0.3360103784299618,
0.12794368827548025,
0.8666414166015601,
-0.5061091387143714,
2.520160592489617,
1.5733853510953113,
1.5822178348256615,
1.6483077413660934,
0.09668615678176742,
3.0550100028245097,
0.17020406827826093,
-0.... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 76 |
bbe36c72142a04c8b1698fed3f77c25c | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target"... | {"states": [18, 3], "expectation_value": -2.0767233522465807, "params": [[-0.0196, -0.0465, -0.019100000000000002], [-0.0012000000000000001, 0.054400000000000004, 0.0373]], "bitstrings": ["01101", "11100"], "total_optimization_steps": 10, "probabilities": [0.04135157247768881, 0.041351572477688836], "optimization_time"... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -3.0 * Z(1) + -2.5 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 7 | 5 | 3 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "01110", "01101"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
1.75,
2,
1.75,
2,
-3,
-2.5,
-3,
-2.5,
-2.5
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
95cd968028de95e9bd1f0d835e513284 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [28, 88], "expectation_value": -3.9962371470649094, "params": null, "bitstrings": ["1100011", "0100111"], "total_optimization_steps": 28, "probabilities": [0.06706855356024868, 0.9294631320333175], "optimization_time": 26.32440495491028} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(4) + -1.0 * Z(0) + -1.5 * Z(5) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(1) + -0.5 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100110", "0100111", "1100011", "1011001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.10468843332687085) q[0];
rz(0.17672023219230937) q[0];
rx(0.6623012323552471) q[1];
rz(-0.15956739999083158) q[1];
rx(0.028706933005168817) q[2];
rz(-0.6336621450124555) q[2];
rx(-0.45422356314339846) q[3];
rz(0.5476974900642233) q[3];
rx(0.3990766685472579) q[4];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"ZZIIIII",
"IZIIZII",
"IIIIZZI",
"IZIZIII",
"IIIZIZI",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1,
-0.5,
-0.5,
-0.5
] | 0.972173 | [
-0.10468843332687085,
0.29840746196258483,
0.662301232355247,
0.033203472962293944,
0.028706933005168814,
-0.5015033513355869,
-0.4542235631433985,
0.6221015474734747,
0.399076668547258,
0.23293563657159388,
0.29431187405811615,
-0.24058685261158946,
0.3612418143901153,
0.06365176819014363... | {
"n_parameters": 176,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 128 |
24ec85ceb3f94374e977a871ddcf35bc | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [35, 44], "expectation_value": -0.17704452088402148, "params": [[-0.0825], [0.0741]], "bitstrings": ["011100", "010011"], "total_optimization_steps": 10, "probabilities": [0.017590883108826377, 0.01794160970236169], "optimization_time": 1.7364342212677002} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "011100", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.04176737542190623) q[0];
rz(-pi) q[0];
ry(-2.945037601850049) q[1];
rz(-pi) q[1];
h q[2];
ry(1.4906421176738867) q[2];
h q[3];
h q[4];
ry(0.6746829349540775) q[4];
h q[5];
ry(-0.2974549213254869) q[5];
cx q[3], q[5];
ry(0.2974549213254869) q[5];
cx q[3], q[5];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[1... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"ZIIZII",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-0.5,
-0.5
] | 0.971567 | [
-1.5669187022824613,
-1.5230986125139825,
1.4906421176738867,
-0.5949098426509738,
1.0949934439908702,
1.1307724253187426,
-0.9752655168159003,
1.349365869908155,
0.5257905149682746,
0.08690217507268594,
-0.18517364442419398,
0.5584956621285644,
0.3260867579106622,
0.07577950181894219,
0... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 12 |
b4b67a376a51e81e750e2ea3466d65fc | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [98, 114], "expectation_value": -6.1649653463686445, "params": [[[-0.0015, 0.0051], [0.36200000000000004, 0.0027], [-0.0025, 0.0018000000000000002], [1.7014, 0.0026000000000000003], [1.7067, 0.0076], [1.6371, 0.0085], [-0.0033, 0.0094], [1.4875, 0.004], [1.7124000000000001, 0.006500000000000001], [-0.0027, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(4) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -7.0, "smallest_bitstrings": ["1110011001", "1110001101", "1111000101", "0111011001", "1001011011", "0011011011", "1110101100"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.03920013044176053) q[0];
rz(-0.402310984658428) q[0];
rx(-0.15191857494743335) q[1];
rz(-0.6351235242884332) q[1];
rx(0.14616369436248058) q[2];
rz(1.434558470417044) q[2];
rx(2.705047363528908) q[3];
rz(-0.9697845958999642) q[3];
rx(2.9202393397441906) 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": []} | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIZIIZII",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIZIIZIII",
"ZIIIIIIZII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IZIIIIIZII",
"IZIIIIIIZI",
"ZIIIIZIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IIIIIIIZII",
"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,
-2,
-1.5,
-1,
-2,
-2,
-1,
-0.5,
0,
-1
] | 0.971332 | [
-0.03920013044176053,
-0.402310984658428,
-0.15191857494743335,
-0.6351235242884332,
0.14616369436248058,
1.434558470417044,
2.705047363528908,
-0.9697845958999642,
2.9202393397441906,
-0.8735148373337749,
0.4578890560874784,
-0.06103662138036803,
0.14358281132971296,
0.7985875811632352,
... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 19 |
abebab5175d0d0d89bf916154d0e1360 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [24, 38], "expectation_value": -1.5402840990052526, "params": [[0.0721, 0.0716, 0.07150000000000001, 0.0752], [-0.0756, -0.0669, -0.0609, -0.065]], "bitstrings": ["100111", "011001"], "total_optimization_steps": 10, "probabilities": [0.03270971301862406, 0.0379191413914938], "optimization_time": 6.2195065021... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-3.0276657592090853e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-3.0276657592090853e-08) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(-3.0276657592090853e-08) q[4];
cx q[2], q[4];
rz(1.5707962011... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"ZIIIZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"ZZIIII",
"IZIIZI",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-1,
-0.5,
-1
] | 0.777778 | [
-3.0276657592090853e-8,
1.5707962011345744,
-1.5707963261737141,
1.5707962746941437,
1.570796338750851
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 149 |
fa12f3a697c97a90a7d75ad197dde7b9 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [8, 42], "expectation_value": -3.7499716793445517, "params": null, "bitstrings": ["110111", "010101"], "total_optimization_steps": 22, "probabilities": [1.3890484210127375e-05, 0.999985814104641], "optimization_time": 19.034900426864624} | 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)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(2) @ Z(4)) + 0.0 * Z(0) + 0.0 * Z... | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["010101"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IZZIIZ",
"IZIZII",
"ZIIZII",
"ZZIIII",
"ZZIZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0,
0,
-0.75,
-0.75,
0,
-0.75
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
d67dce3f5139cf39967f12d8ad7a1f95 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 1, "ta... | {"states": [250, 234], "expectation_value": -9.96112505030483, "params": [[0.0061, -0.044500000000000005, -0.012], [-0.042100000000000005, 0.0448, 0.015700000000000002]], "bitstrings": ["100000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.0036390520261451375, 0.004461220118107843], "optimizati... | 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(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 12.0 * Z(1) + 9.5 * Z(0) + 11.0 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 141.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.057985733596822256) q[0];
rz(-0.08921433292265135) q[0];
rx(0.8289694419369887) q[1];
rz(-0.25300377968612575) q[1];
rx(0.9066313360301113) q[2];
rz(0.12177703936276048) q[2];
rx(0.6242911106387234) q[3];
rz(0.24462902398542496) q[3];
rx(-0.05191058184150418) 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", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
12,
9.5,
11,
12,
2.5,
18,
1.5,
10,
6.5
] | 0.971565 | [
-0.057985733596822256,
0.02695926161404545,
0.8289694419369887,
-0.25300377968612575,
0.9066313360301113,
0.12177703936276048,
0.6242911106387234,
0.24462902398542496,
-0.05191058184150418,
0.3538364534705118,
1.0072361229926894,
0.24733858529044117,
0.27827590024031423,
0.0244402588190312... | {
"n_parameters": 105,
"n_qubits": 9,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 11 |
e6bea2df289759c654c84c4699ef556c | 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}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [230, 118], "expectation_value": -25.683719139834494, "params": [[0.024900000000000002, -0.005200000000000001], [-0.08800000000000001, -0.0723]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.010834178673359288, 0.011606643869774893], "optimization_time": 8.00843... | 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(6)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(5)) + 6.5 * Z(0) +... | 1 | 8 | 2 | {"smallest_eigenvalues": [-83.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 182.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.12325932373712278) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.12325932373712278) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(-0.12325932373712278) q[2];
cx q[0], q[2];
rz(-0.9639719241926858) q[0];
rx(-0.9830143529550519) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IZIIZIII",
"IIIZIIZI",
"IZIZIIII",
"IIZIIZII",
"IZZIIIII",
"IIZZIIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
6.5,
16.5,
19.5,
22.5,
15,
10,
19.5,
3
] | 0.972194 | [
-0.12325932373712278,
-0.9639719241926862,
1.9347228150109121,
1.7474612552150641,
1.0856194587401442,
1.58146034444806,
-0.5294689111869031,
-0.6096923577129677,
-0.983014352955052,
0.22847455150193197,
-0.3203519239422251,
-0.6104718872744507,
-0.34042187487493497,
0.8942692408539727,
... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -83.5,
"target_ratio": 0.97,
"target_value": -80.995
} | 50 |
4e789b5f5e852b62538cbace7bbd9fdb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [60, 101], "expectation_value": -0.13663630328557336, "params": [[-0.031100000000000003, 0.0034000000000000002, 0.0733], [0.0436, 0.0346, -0.0476]], "bitstrings": ["1000011", "0011010"], "total_optimization_steps": 10, "probabilities": [0.008751036743710295, 0.008751036743710305], "optimization_time": 8.7607... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011010", "1001010", "1000011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.054223684297274075) q[0];
ry(0.7073741458155203) q[1];
ry(0.6299212895081294) q[2];
ry(-0.0598349296055324) q[3];
ry(1.5950218172399446) q[4];
ry(0.07847122821991884) q[5];
ry(0.29667083444636855) q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIIIZI",
"ZIIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-1,
-1.5,
0,
0,
0
] | 0.975201 | [
-0.054223684297274075,
0.7073741458155203,
0.6299212895081294,
-0.0598349296055324,
1.5950218172399446,
0.07847122821991884,
0.29667083444636855,
2.4039220856755206,
2.585004707281585,
1.5357663759353577,
-0.4308428958250802
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 14 |
6446c2e39f9d792cb9f32c544e2de260 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 9, "source": 2, "target": 3}, {"weight": 15, "source": 2, "targ... | {"states": [222, 188], "expectation_value": -7.30690396546536, "params": [[0.051300000000000005], [-0.052700000000000004]], "bitstrings": ["100100001", "101000011"], "total_optimization_steps": 10, "probabilities": [0.003334860943004783, 0.003860093481943613], "optimization_time": 1.957099437713623} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 13.0 * Z(1) + -2.5 * Z(0) + 12.0 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101000011"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.015041700456482638) q[0];
cx q[1], q[0];
rz(1.4443264567556788) q[0];
rx(1.619282026596157) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.015041700456482638) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.015041700456482638) q[4];
cx... | 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",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIZIIIZII",
"IIIZIIIZI",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
13,
-2.5,
12,
13.5,
12,
12,
17.5,
2.5,
7
] | 0.975026 | [
-0.015041700456482638,
-1.5570698361898603,
1.4443264567556788,
-1.5438767477979454,
0.832318823873067,
-1.7666330798977976,
1.725742337624804,
1.903105399228118,
1.619282026596157,
0.06117202732973989,
1.5038150213013086,
-0.7673798844218126,
2.540222997992164,
0.46278776046781567,
1.63... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -77.5,
"target_ratio": 0.97,
"target_value": -75.175
} | 63 |
4e789b5f5e852b62538cbace7bbd9fdb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [60, 53], "expectation_value": -3.9991341831025764, "params": null, "bitstrings": ["1000011", "1001010"], "total_optimization_steps": 29, "probabilities": [0.06620744839636572, 0.9331647657999109], "optimization_time": 26.93577265739441} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011010", "1001010", "1000011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.054223684297274075) q[0];
ry(0.7073741458155203) q[1];
ry(0.6299212895081294) q[2];
ry(-0.0598349296055324) q[3];
ry(1.5950218172399446) q[4];
ry(0.07847122821991884) q[5];
ry(0.29667083444636855) q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIIIZI",
"ZIIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-1,
-1.5,
0,
0,
0
] | 0.975201 | [
-0.054223684297274075,
0.7073741458155203,
0.6299212895081294,
-0.0598349296055324,
1.5950218172399446,
0.07847122821991884,
0.29667083444636855,
2.4039220856755206,
2.585004707281585,
1.5357663759353577,
-0.4308428958250802
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 14 |
7e25bc80cdf895181c3cb661afbef0b1 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 5, "ta... | {"states": [127, 124], "expectation_value": -1.4793525621142254, "params": [[-0.0888], [0.0816]], "bitstrings": ["0000000", "0000011"], "total_optimization_steps": 10, "probabilities": [0.012893324977804953, 0.012893324977804954], "optimization_time": 1.6733667850494385} | -2.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(1) + 0.5 * Z(3) + 1.0 * Z(6) + -1.0 * Z(5) | 5 | 7 | 1 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.0, "smallest_bitstrings": ["0000000", "0000011"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.017476947906633025) q[0];
h q[1];
ry(-0.017476947906633025) q[1];
h q[2];
cx q[2], q[0];
ry(0.017476947906633025) q[0];
cx q[2], q[0];
ry(1.4420336088757544) q[0];
ry(1.0582024825935825) q[2];
cx q[0], q[2];
ry(-0.44225595418592595) q[2];
cx q[0], q[2];
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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(x1)... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIZII",
"IIZIIIZ",
"IIIIZZI",
"IIIIIZZ",
"IIZIIZI",
"IIIZZII",
"IIZZIII",
"IIIZIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-2,
1,
-2,
-2.5,
1,
-2.5,
0.5,
0.5,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.975588 | [
-0.03495389581326605,
1.221876092305446,
0.6159465284076566,
1.7892887981254249,
1.4420336088757544,
2.120937764266375,
0.5457315952685766,
0.8845119083718519,
0.18980440480586566,
0.19334068844138372,
1.32879701812558,
0.7149079133849797,
0.33121195677480897,
0.8051287289711053,
-1.2026... | {
"n_parameters": 41,
"n_qubits": 7,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 48 |
74f901e921e304abad28a5ed7b0926c0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 8}, {"capac... | {"states": [1022, 447], "expectation_value": -5.61272101829592, "params": [[-0.154], [0.1584]], "bitstrings": ["0000000001", "1001000000"], "total_optimization_steps": 20, "probabilities": [0.005843427182736009, 0.0073179069632903024], "optimization_time": 3.556800603866577} | -1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -1.25 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -2.25 * (Z(4) @ Z(8)) + -1.25 * (Z(9) @ Z(1)) + 2.5 * (Z(9) @ Z(0)) + -0.75 * (Z(2) @ Z(9)) + -1.0 * (Z(7) @ Z(3)) + -1.5 * (Z(7) @ Z(8)) + -1.25 * (Z(7) @ Z(4)) + -1.25 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-19.75, -19.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.75, "smallest_bitstrings": ["1001000000", "1101100110"], "largest_eigenvalue": 21.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.036042739822167595) q[0];
ry(-0.17893475468637604) q[1];
ry(1.2982496268956174) q[2];
ry(-0.963969021770557) q[3];
ry(-0.14894351397926373) q[4];
ry(-0.03043334436765529) q[5];
ry(0.016995100417888785) q[6];
ry(-0.05619499863901474) q[7];
ry(0.5228352571244398) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IIIIIZIIZI",
"IZIIIZIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"IIZIIIZIII",
"IZZIIIIIII",
"IIZIIZIIII",
"IIZIIIIZII",
"IIIIZIIIZI",
"IIIIZIZIII",
"ZIIIZIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"ZIIZIIIIII"... | [
-1,
-0.25,
-1,
-1.25,
-0.25,
-1,
-2.25,
-1.25,
2.5,
-0.75,
-1,
-1.5,
-1.25,
-1.25,
-1,
-1.25,
-0.75,
-0.75,
-0.5,
-1,
-1,
0.75,
-0.25,
-2,
-1.75,
-1.5,
-1.25,
2,
0.25,
2.25,
1.5
] | 0.970662 | [
-0.036042739822167595,
-0.17893475468637604,
1.2982496268956174,
-0.963969021770557,
-0.14894351397926373,
-0.03043334436765529,
0.016995100417888785,
-0.05619499863901474,
0.5228352571244398,
0.11182073503384593,
0.1327126520369019,
-0.053236164440204396,
-0.016506275732190052,
-0.0588235... | {
"n_parameters": 74,
"n_qubits": 10,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 52 |
bba2e06053fa3c8a9a710a4bd3703eb1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [844, 846], "expectation_value": -1.6408332197941637, "params": [[[0.435, 0.047], [0.5057, 0.0577], [0.2592, 0.0335], [0.4924, -0.0047], [0.1295, -0.043000000000000003], [-0.0083, -0.033600000000000005], [0.08940000000000001, 0.49970000000000003], [0.2511, 0.48850000000000005], [0.4859, 0.5055000000000001], ... | 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)) + 0.5 * (Z(0... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010010001", "1000010110", "0010110001", "1000011001", "1001010010", "1000010011", "0001111000", "0001110010", "0011110000", "0010110100"], ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.20114804250361765) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.20114804250361765) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.5448829019394585) q[1];
rx(-1.4659658311578172) q[1];
rz(0.20114804250361765) q[4];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIZZZIIIII",
"IIIIIZIIZI",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"IZIIIZIIII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.1... | 0.865455 | [
0.20114804250361765,
0.5448829019394584,
-1.032970517939543,
0.4736712255784174,
1.0508280684852456,
-1.4659658311578172,
0.5456458777217237,
-0.10953584608557748,
-0.37646442800846214,
-0.13348686815000904,
-1.0425535039283687,
0.39545867198032075,
1.1703587779377986,
-1.9860700753402072,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 439 |
18da590fe700e31fa390d98ebb622e6e | 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": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capac... | {"states": [512, 511], "expectation_value": -13.79743138803774, "params": [[[-0.0164, -0.3673], [0.1525, 0.0036000000000000003], [-0.0033, -0.0037], [0.0148, -0.0031000000000000003], [0.002, -0.0028], [-0.0008, -0.0016], [-0.011000000000000001, -0.0022], [-0.0026000000000000003, 0.0028], [-0.3009, -1.2782], [-0.0077, 0... | -0.75 * (Z(0) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + 2.75 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(6)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(8)) + -1.0 * (Z(4) @ Z(9)) + -0.75 * (Z(3) @ ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.11730681278691124) q[0];
ry(0.03464451813421773) q[1];
ry(-0.1278182536417605) q[2];
ry(0.18790720199327332) q[3];
ry(0.21774116380968433) q[4];
ry(0.145106516483046) q[5];
ry(0.3520632481794399) q[6];
ry(-0.03847839484162681) q[7];
ry(-0.4783217543588182) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIZIIIIIZ",
"IZIIIIIZII",
"IZIIIIIIIZ",
"IZIZIIIIII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZZI",
"IIIZIIIIZI",
"IIIIIZIZII",
"IZIIIZIIII",
"ZIIIIZIIII",
"IIIIIIZZII",
"IZIIIIZIII",
"ZIIIIIZIII",
"ZIZIIIIIII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIIIZIIZII"... | [
-0.75,
-1,
-0.5,
-0.75,
-0.5,
2.75,
-1,
-0.5,
-0.75,
-0.25,
-1,
-1.25,
-1,
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
-1.25,
-0.75,
-1,
-2.5,
-0.25,
0,
-0.5,
-1.5,
1,
1.25,
1.5,
-0.75,
1.75
] | 0.970015 | [
-0.11730681278691124,
0.03464451813421773,
-0.1278182536417605,
0.18790720199327332,
0.21774116380968433,
0.145106516483046,
0.3520632481794399,
-0.03847839484162681,
-0.4783217543588182,
-0.20967393105319948,
-0.25860938687778523,
-0.06575229547788292,
-0.004050491993081665,
-0.0027173357... | {
"n_parameters": 65,
"n_qubits": 10,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 62 |
a209cb26fa5154dbaa2e5c020f2a6e17 | 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": 4}, {"capacity": 3, "source": 0, "target": 9}, {"capacity": 3, "source": ... | {"states": [0, 2046], "expectation_value": -25.660228482017587, "params": [[[-0.0017000000000000001, 0.0056], [0.0002, -0.6038], [0.0025, 0.0027], [-0.008, 0.0021000000000000003], [0.0026000000000000003, 0.0019], [0.0025, 0.003], [0.0024000000000000002, 0.003], [0.0028, -0.0035], [0.0025, -0.0025], [0.00210000000000000... | -0.75 * (Z(0) @ Z(6)) + -1.0 * (Z(11) @ Z(6)) + -0.75 * (Z(11) @ Z(0)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(11)) + -0.75 * (Z(1) @ Z(6)) + -2.5 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(1)) + -0.25 * (Z(9) @ Z(2)) + -1.25 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(5)) + -0.25 * (Z... | 15 | 12 | 3 | {"smallest_eigenvalues": [-27.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.75, "smallest_bitstrings": ["100000000001"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.020078297862526295) q[0];
ry(-0.09283805682654026) q[1];
ry(0.09960861945894914) q[2];
ry(-0.08842925177900518) q[3];
ry(-0.20016149315896567) q[4];
ry(0.0015806897639856071) q[5];
ry(-0.031253730061438105) q[6];
ry(-0.04958689506208596) q[7];
ry(-0.1497473057508... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIIZ",
"ZIIIIZIIIIII",
"ZIIIIIIIIIIZ",
"IIIIIZIIIZII",
"IIIIIIIIIZIZ",
"ZIIIIIIIIZII",
"IIIIIZIIIIZI",
"IIIIIIIIIZZI",
"IIIIIZZIIIII",
"IIIIIIZIIIZI",
"IIZIIIIIIZII",
"IIZIIIIIIIZI",
"IIZIIIZIIIII",
"IIIIIIIZIZII",
"IIIIIIZZIIII",
"IIZIIIIZIIII",
"ZIIIZIIIIIII",
"IIIIZIIII... | [
-0.75,
-1,
-0.75,
-0.75,
-0.75,
-0.75,
-0.75,
-2.5,
-0.5,
-1.5,
-0.25,
-1.25,
-0.5,
-0.25,
-1,
-0.75,
-0.25,
-0.75,
-0.25,
-1.25,
-0.5,
2.5,
-1,
-0.5,
-1.25,
-0.25,
-0.5,
-0.5,
-0.25,
-1.25,
-1.5,
-0.75,
-1.5,
0,
-0.25,
-3,
0.75,
1,
-0.5,
... | 0.980697 | [
-0.020078297862526295,
-0.09283805682654026,
0.09960861945894914,
-0.08842925177900518,
-0.20016149315896567,
0.0015806897639856071,
-0.031253730061438105,
-0.04958689506208596,
-0.14974730575085596,
0.11311615052346607,
0.07450856944693524,
0.06717064808132893,
3.0009978582419636,
-0.0155... | {
"n_parameters": 18,
"n_qubits": 12,
"optimal_eigenvalue": -27.75,
"target_ratio": 0.97,
"target_value": -26.9175
} | 23 |
-3800584376404279827 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 3, 4, 5, 6, 8, 9], [0, 11, 4, 7], [8, 10], [2, 3, 4, 7, 8, 9, 11], [0, 1, 2, 4, 5, 6, 9, 10, 11], [0, 1, 2, 3, 7, 9, 11], [1, 2, 4, 5, 6, 8, 9, 11], [2, 5, 6, 7, 8, 9]]} | {"states": [1526, 1527], "expectation_value": -1.6413802889929834, "params": [0.36360000000000003, -0.6427, 0.3587, 0.0019, 1.5841, -0.0188, 1.5797, -0.6379, 0.38780000000000003, 0.654, 0.38820000000000005, 0.0098, 0.9004000000000001, 0.0233, 1.3115, -0.0029000000000000002, 1.5621, -0.004200000000000001, 1.567000000000... | 0.051587301587301584 * (Z(0) @ Z(1)) + 0.06944444444444445 * (Z(2) @ Z(1)) + 0.051587301587301584 * (Z(2) @ Z(0)) + 0.037698412698412696 * (Z(3) @ Z(1)) + 0.037698412698412696 * (Z(3) @ Z(0)) + 0.061507936507936505 * (Z(3) @ Z(2)) + 0.04563492063492063 * (Z(4) @ Z(1)) + 0.1111111111111111 * (Z(4) @ Z(0)) + 0.0694444444... | 8 | 12 | 1 | {"smallest_eigenvalues": [-1.8428571428571425, -1.8428571428571425], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.8095238095238098, "smallest_bitstrings": ["100000001100", "101000001000"], "largest_eigenvalue": 7.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.031676085820017255) q[0];
rz(0.7941196331850535) q[0];
rx(1.725004680677262) q[1];
rz(0.11761954793954824) q[1];
cx q[1], q[0];
ry(0.01449936623977801) q[0];
cx q[1], q[0];
ry(0.1195425198357717) q[0];
rz(-1.5152491740736918) q[0];
rx(1.6835074806371113) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIIZII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIZIII... | [
0.051587301587301584,
0.06944444444444445,
0.051587301587301584,
0.037698412698412696,
0.037698412698412696,
0.061507936507936505,
0.04563492063492063,
0.1111111111111111,
0.06944444444444445,
0.037698412698412696,
0.04563492063492063,
0.027777777777777776,
0.07896825396825397,
0.013888888... | 0.971099 | [
0.031676085820017255,
-0.7766766936098429,
1.725004680677262,
0.11761954793954824,
0.3795819386878634,
0.5102312716877667,
0.8554433811125319,
-0.20884796676538953,
1.4882660356155024,
-0.04343119717720157,
1.1334837177676955,
0.1922712701656851,
1.5918027090420699,
0.06326854596516512,
... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -1.8428571428571425,
"target_ratio": 0.97,
"target_value": -1.7875714285714281
} | 11 |
47e061061a6d0acfe5610133d54047de | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 5, "source": 1, ... | {"states": [43, 127], "expectation_value": -12.071899014108673, "params": [[0.0834, 0.0178, 0.06670000000000001, 0.11030000000000001], [-0.20350000000000001, -0.16920000000000002, -0.1608, -0.1645]], "bitstrings": ["11010100", "10000000"], "total_optimization_steps": 30, "probabilities": [0.0482605119107892, 0.05024394... | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.75 * (Z(1) @ Z(2)) + -1.0 * (Z(1) @ Z(5)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + 2.5 * (Z(7) @ Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.15864147887866117) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.2731377163588801) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.01953334625569982) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(-0.5119597632790122) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IIZIZIII",
"IIIIZIZI",
"IZIIIZII",
"IZZIIIII",
"IZIIIIZI",
"IZIIZIII",
"IIIZIZII",
"IIZZIIII",
"IIIZZIII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZZIIIIII",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IIIIZIII",
"IZIIIII... | [
-0.75,
-1.5,
-1.75,
-1,
-0.75,
-1,
-1,
-0.75,
-2,
-2.5,
-2.5,
-0.25,
-0.5,
2.5,
-0.25,
-1.75,
-0.75,
3,
-0.25,
-0.25,
-1.25,
-3,
2,
0,
-0.25
] | 0.914802 | [
-0.15864147887866117,
-0.01953334625569982,
-0.2731377163588801,
-0.5119597632790122,
-0.5994608352228544,
-0.4129705087363402,
-0.09770153693581518,
-0.5186988881603777,
0.36815665804652714,
0.036211604978244535,
0.03512357775472557,
-0.01314774583905088,
0.028430217821991767,
0.031774757... | {
"n_parameters": 43,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 500 |
98ff52dd3a46eb29e6baf499c47cc739 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [9, 5], "expectation_value": -0.30450178600233907, "params": [[-0.0666, -0.061200000000000004], [0.07490000000000001, 0.0645]], "bitstrings": ["10110", "11010"], "total_optimization_steps": 10, "probabilities": [0.037218573365533886, 0.0372185733655339], "optimization_time": 4.151022672653198} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["00111", "11010", "10110", "01011"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"IZIZI",
"IZZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
3b4195810bf2a6f7a0a91b99109270dd | 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": 18, "source": 0, "target": 4}, {"weight": 12, "source": 1, "target": 4}, {"weight": 2, "source": 2, "target": 3}, {"... | {"states": [238, 110], "expectation_value": -26.21128466213866, "params": [[-0.0313, 0.0059], [0.07640000000000001, 0.0748]], "bitstrings": ["00010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.010275872341191093, 0.012527997533810504], "optimization_time": 3.594264507293701} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 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(6) @ Z(3)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 185.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1020153173383266) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.1020153173383266) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1020153173383266) q[2];
cx q[0], q[2];
rz(-0.3646141913977723) q[0];
rx(-0.16040213888355992) q[0];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
21,
4.5,
18,
22.5,
5,
9.5,
21,
16
] | 0.972998 | [
-0.1020153173383266,
0.28237012894823954,
-0.3646141913977715,
0.4781777606967153,
0.1648516455853896,
-0.32378281246999085,
0.8072608291429014,
-0.37037856100101546,
-0.1604021388835599,
0.1078696860819991,
1.2637155184460778,
-0.08105797484333403,
0.4933282028096999,
1.4631829679049078,
... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 43 |
a51531ca07978522e4bcbb0967753d9f | 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": [150, 151], "expectation_value": -81.27242063915703, "params": [[[0.6876, 0.0599], [0.6862, 0.0792], [0.22740000000000002, 0.0219], [-0.07880000000000001, -0.061000000000000006], [1.0114, 0.2733], [0.09910000000000001, 0.3008], [0.1641, 0.39430000000000004], [0.4344, 0.3638], [0.6496000000000001, 0.1806]], [... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(7)) + 20.5 * Z(1) + 7.0 * Z(0) + -5.5 * Z(2) + 19.5 * Z(4) + 8.0 * Z(3) + 15.5 * Z(6... | 15 | 9 | 4 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.5, "smallest_bitstrings": ["101101000"], "largest_eigenvalue": 157.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.4280456849854838) q[0];
ry(0.6147986853703632) q[1];
ry(0.09704616523358195) q[2];
ry(0.012151417493791117) q[3];
ry(1.3867054677626598) q[4];
ry(0.04351075966807613) q[5];
ry(0.18650656712907598) q[6];
ry(0.17109994235516274) q[7];
ry(0.8739377735628926) q[8];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIZIIII",
"IZIIIZIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIZIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
20.5,
7,
-5.5,
19.5,
8,
15.5,
7,
5.5,
-8.5
] | 0.972333 | [
0.4280456849854838,
0.6147986853703632,
0.09704616523358195,
0.012151417493791117,
1.3867054677626598,
0.04351075966807613,
0.18650656712907598,
0.17109994235516274,
0.8739377735628926,
-0.03727361971393537,
0.045150423230369593,
0.054245910415902945,
0.026277208769981575,
0.32903381814017... | {
"n_parameters": 72,
"n_qubits": 9,
"optimal_eigenvalue": -86.5,
"target_ratio": 0.97,
"target_value": -83.905
} | 50 |
0a6de38544738238968ffe8fd3eccf1a | 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": [1142, 1110], "expectation_value": -81.7818435199468, "params": [0.0023, 0.8103, 1.2031, 0.2841, 0.5898, 0.4753, 0.0032, -0.7352000000000001, 0.4898, 0.6098, 1.2013, 0.30460000000000004, 0.7745000000000001, 0.5518000000000001, 1.2026000000000001, 0.2112, -0.0223, 0.8541000000000001, 1.2048, 0.002100000000000... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(3) @ Z(9)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(11) @ Z(1)) + 7.5 * (Z(10) @ Z(4)) + 7.5 * (Z(10) @ Z(11)) + 9.0 * Z(1) + 3.0 * Z(2) + 10.0 * Z(5) + 1.0 * Z(4) + 5.0 * Z(6) + 10.0 * Z(7) + 6.0 * Z(9) + -6.... | 18 | 12 | 2 | {"smallest_eigenvalues": [-128.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.0, "smallest_bitstrings": ["101110101001"], "largest_eigenvalue": 138.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.010282084035603196) q[0];
rz(0.8126663276827091) q[0];
rx(1.7873591209125799) q[1];
rz(0.34091268427845456) q[1];
rx(0.07242457622876962) q[2];
rz(0.7752281916277073) q[2];
rx(0.1107134195557967) q[3];
rz(-0.8713211094467259) q[3];
rx(0.1760146402180774) 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, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIIZIIIIZII",
"IIIIZZIIIIII",
"IIZIIIIIZIII",
"IIZZIIIIIIII",
"ZIIIIIIIIIZI",
"IZIIIIIZIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIZII",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"IIIIIZIIIIII",
"IIIIZIIIIIII",
"IIZIIIIIIIII",
"IIIIIIIIZ... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
9,
3,
10,
1,
5,
10,
6,
-6.5,
-3.5,
2,
6.5,
-12.5
] | 0.973665 | [
0.010282084035603198,
0.7703357645294476,
1.7873591209125799,
0.34091268427845456,
0.07242457622876962,
0.7752281916277073,
0.1107134195557967,
-0.8713211094467259,
0.1760146402180774,
0.9476388777154248,
1.6003007663452982,
0.201765636412221,
0.26899095949118834,
0.7199171402727977,
1.6... | {
"n_parameters": 63,
"n_qubits": 12,
"optimal_eigenvalue": -128,
"target_ratio": 0.97,
"target_value": -124.16
} | 19 |
6946fbda84d92871847bf53596399897 | min_cut | adaptive_vqe | {"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": [1, 17], "expectation_value": -11.166162975113258, "params": null, "bitstrings": ["111110", "101110"], "total_optimization_steps": 19, "probabilities": [0.43051361361722545, 0.4999999676316289], "optimization_time": 11.216200351715088} | -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... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[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 \"stdgat... | [
"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 |
8176072057016441319 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 2, 3, 4, 5, 6, 7, 11, 12], [0, 7], [1, 2, 5, 6, 7, 9, 12], [0, 1, 2, 4, 5], [10, 5], [0, 2, 4, 11, 12], [1, 4, 5, 8, 11], [10, 4], [8, 2, 3, 12], [1, 2, 6, 9, 10]]} | {"states": [2026, 2042], "expectation_value": -2.8688246063598983, "params": [-0.0028, -0.0027, -0.0024000000000000002, -0.0024000000000000002, 1.6881000000000002, 1.458, 2.5339, 0.6017, 1.5549000000000002, 1.5751000000000002, 1.5685, 1.5677, 1.6300000000000001, 1.5059, 1.6014000000000002, 1.5583, 0.7817000000000001, 0... | 0.1376984126984127 * (Z(1) @ Z(2)) + 0.09722222222222221 * (Z(3) @ Z(2)) + 0.013888888888888888 * (Z(3) @ Z(1)) + 0.11388888888888889 * (Z(4) @ Z(2)) + 0.11388888888888889 * (Z(4) @ Z(1)) + 0.013888888888888888 * (Z(4) @ Z(3)) + 0.08769841269841269 * (Z(5) @ Z(2)) + 0.1376984126984127 * (Z(5) @ Z(1)) + 0.01388888888888... | 14 | 13 | 1 | {"smallest_eigenvalues": [-2.9071428571428575, -2.9071428571428575], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.85952380952381, "smallest_bitstrings": ["0010000100110", "1100000000101"], "largest_eigenvalue": 8.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.004713557406308877) q[0];
rz(pi/2) q[0];
ry(-0.026709365263841975) q[1];
ry(1.6811458409008022) q[2];
ry(2.487324068782729) q[3];
ry(1.5067214648457106) q[4];
ry(1.4398761187481233) q[5];
ry(1.651935231421445) q[6];
ry(1.5235167406671877) q[7];
ry(0.6852085425478... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZI",
"IIIIIIIIIZZII",
"IIIIIIIIIZIZI",
"IIIIIIIIZIZII",
"IIIIIIIIZIIZI",
"IIIIIIIIZZIII",
"IIIIIIIZIIZII",
"IIIIIIIZIIIZI",
"IIIIIIIZIZIII",
"IIIIIIIZZIIII",
"IIIIIIZIIIZII",
"IIIIIIZIIIIZI",
"IIIIIIZIIZIII",
"IIIIIIZIZIIII",
"IIIIIIZZIIIII",
"IIIIIZIIIIZII",
"IIIIIZIIIII... | [
0.1376984126984127,
0.09722222222222221,
0.013888888888888888,
0.11388888888888889,
0.11388888888888889,
0.013888888888888888,
0.08769841269841269,
0.1376984126984127,
0.013888888888888888,
0.11388888888888889,
0.08769841269841269,
0.08769841269841269,
0.013888888888888888,
0.0138888888888... | 0.977519 | [
-0.004713557406308877,
-0.026709365263841975,
1.6811458409008022,
2.487324068782729,
1.5067214648457106,
1.4398761187481233,
1.651935231421445,
1.5235167406671877,
0.6852085425478248,
1.367588938975997,
-0.06537537168462978,
0.9061341765476204,
-0.06608374180706778,
-0.013550807867469539,
... | {
"n_parameters": 49,
"n_qubits": 13,
"optimal_eigenvalue": -2.9071428571428575,
"target_ratio": 0.97,
"target_value": -2.8199285714285716
} | 1 |
b10e647670f759bc4f3dd1387515cbab | 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": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [22, 50], "expectation_value": -3.49639804156796, "params": null, "bitstrings": ["101001", "001101"], "total_optimization_steps": 23, "probabilities": [0.06635196634149224, 0.9303270202936694], "optimization_time": 18.438915491104126} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001101", "101001"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.6059590783964175) q[1];
h q[2];
ry(-1.5435690642332873) q[2];
h q[3];
ry(-0.5332571362745683) q[3];
cx q[0], q[3];
ry(0.5332571362745683) q[3];
cx q[0], q[3];
ry(0.9119014324033945) q[0];
ry(-0.6753977872976624) q[3];
h q[4];
ry(1.6059590783964175) ... | 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",
"ZIIZII",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-1,
0,
-0.5
] | 0.993521 | [
-1.5435690642332873,
-1.3972417071881398,
1.6059590783964175,
-1.0665142725491366,
0.6111672878365482,
-0.1119226496394643,
-0.49139838766546845,
0.6014682891336927,
-0.3679987992643881,
0.33092884969918057,
-0.19658386032209535,
0.11017040147676396,
0.21045782912511068,
-0.041443516117334... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
c44dfb9664e861f7a27d6711164d42e9 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target":... | {"states": [511, 510], "expectation_value": -1.819435973707534, "params": [[-0.0385], [0.0437]], "bitstrings": ["000000000", "000000001"], "total_optimization_steps": 10, "probabilities": [0.002790747203365859, 0.0028096010227285383], "optimization_time": 5.546427488327026} | -3.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -3.5 * (Z(3) @ Z(0)) + 1.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(3)) + 1.5 * (Z(6) @ Z(5)) + -3.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(3)) + -3.5 * (Z(4) @ Z(5)) + -3.5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["000000001"], "largest_eigenvalue": 40.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.0953738749539812) q[0];
h q[1];
h q[2];
ry(0.23406646036144158) q[2];
h q[3];
ry(0.6864284889737925) q[3];
h q[4];
h q[5];
h q[6];
ry(0.5620160641507236) q[6];
cx q[4], q[6];
ry(-0.5620160641507236) q[6];
cx q[4], q[6];
cx q[6], q[3];
ry(-0.6864284889737925... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZZIIIII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZZIIII",
"IIZIZIIII",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZIIZII",
"IIZIIIZII",
"IIIIZIZII",
"IZIIIIIIZ",
"... | [
-3,
1,
-3.5,
1,
-3.5,
1,
1,
-3.5,
-3,
1.5,
-3,
2,
-3.5,
-3.5,
-3.5,
1,
1,
-3,
-3.5,
1,
0.5,
-3,
0.5,
1,
0.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971344 | [
1.1240321283014472,
1.372856977947585,
0.1907477499079624,
-0.03916920316121643,
-0.02581243925547589,
0.5011350032058727,
-1.2957091212052145,
1.5038037879095527,
-0.024958112787347952,
1.2283228352785718,
1.595361817641532,
0.3291286217161939,
0.07820757330814265,
0.46813292072288315,
... | {
"n_parameters": 70,
"n_qubits": 9,
"optimal_eigenvalue": -33.5,
"target_ratio": 0.97,
"target_value": -32.495
} | 265 |
-4450188244082697685 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 6], [1, 2, 5, 7], [3, 5, 7], [8, 3, 6, 7], [0, 2, 4, 5], [0, 2, 3, 7], [0, 1, 4], [0, 1, 8, 7], [8, 3, 4, 7], [8, 3, 5], [0, 8, 4, 5], [8, 2, 3], [1, 2, 6, 7], [8, 0, 3], [5, 6], [0, 1, 2, 5], [8, 1, 5]]} | {"states": [91, 347], "expectation_value": -1.8623363188442528, "params": [[-0.2373], [0.2349]], "bitstrings": ["110100100", "010100100"], "total_optimization_steps": 30, "probabilities": [0.005758412863009562, 0.005960195605827219], "optimization_time": 8.441060543060303} | 0.5 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(2)) + 0.1... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.583333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666669, "smallest_bitstrings": ["010100100"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.2702649932974477) q[0];
rz(1.686865534049029) q[0];
rx(0.1783265881556259) q[1];
rz(0.8872030548061209) q[1];
rx(1.8917203056219338) q[2];
rz(1.6142418595801011) q[2];
rx(0.53914124402189) q[3];
rz(1.2842985898894375) q[3];
rx(2.0920355827902415) q[4];
rz(1.6191419... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIZIZIIII",
"IIZIIIIZI",
"IIIIZIIZI",
"IIZIIIZII",
"IIIIZIZII",
"IIIIIIZZI",
"IIZZIIIII",
"IIIZZIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IZZIIIIII",
"IZIIZIIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IIZIIZIII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIZIII",
"IZIIIZIII",
"ZIZIIIIII",
"... | [
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.5,
0.16666666666666666,
0.3333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.25,
0.25,
0.25,
0.08333333333333333,
0.08333333333333333,
0.25,
0.3333333333333333,
0.4... | 0.971124 | [
1.2702649932974477,
0.11606920725413236,
0.17832658815562594,
-0.6835932719887756,
1.8917203056219338,
0.04344553278520415,
0.5391412440218901,
-0.28649773690545943,
2.0920355827902415,
0.04834564352035101,
2.306824241565059,
-0.030551043290253314,
1.0808924885048008,
0.07054326902913444,
... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -4.583333333333334,
"target_ratio": 0.97,
"target_value": -4.445833333333334
} | 99 |
-5128128083364250668 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 3, 6], [0, 1, 2, 3, 5, 7, 8, 9], [0, 1, 4, 5, 6, 8], [2, 3, 4, 6, 7, 8], [2, 3, 4, 8, 9], [0, 2, 6, 7, 8], [8, 1, 6, 7], [0, 2, 4, 6, 7, 9], [8, 5, 6, 7], [0, 2, 3, 4, 6, 7], [0, 1, 2, 3, 4, 5, 8], [0, 3, 4, 8, 9]]} | {"states": [1021, 509], "expectation_value": -1.9612879044256903, "params": [0.7821, 0.8482000000000001, 1.3921000000000001, 1.3954, 1.0785, 1.3626, 1.3827, 1.3800000000000001, 1.3873, 1.3838000000000001, 1.3838000000000001, 1.3838000000000001, 1.3836000000000002, 1.3874, 1.3901000000000001, 1.387, 1.3923, 1.3947, 1.38... | 0.2011904761904762 * (Z(8) @ Z(9)) + 0.2011904761904762 * (Z(3) @ Z(9)) + 0.25833333333333336 * (Z(3) @ Z(8)) + 0.11666666666666667 * (Z(6) @ Z(9)) + 0.36666666666666664 * (Z(6) @ Z(8)) + 0.15 * (Z(6) @ Z(3)) + 0.10119047619047619 * (Z(0) @ Z(9)) + 0.175 * (Z(0) @ Z(8)) + 0.125 * (Z(0) @ Z(3)) + 0.15 * (Z(0) @ Z(6)) + ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-2.4190476190476193], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.419047619047619, "smallest_bitstrings": ["1000000010"], "largest_eigenvalue": 11.999999999999995} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.11498831027772223) q[0];
rz(pi/2) q[0];
ry(1.9273025641516712) q[1];
ry(1.126337614381471) q[2];
ry(1.5131110821137832) q[3];
ry(1.4794300839507522) q[4];
ry(1.5081074850202032) q[5];
ry(1.2096374756179358) q[6];
ry(1.3217925567517017) q[7];
ry(2.1272815889228425... | OPENQASM 3.0;
include "stdgates.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": []} | [
"ZZIIIIIIII",
"ZIIIIIZIII",
"IZIIIIZIII",
"ZIIZIIIIII",
"IZIZIIIIII",
"IIIZIIZIII",
"ZIIIIIIIIZ",
"IZIIIIIIIZ",
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"ZIIIIIIIZI",
"IZIIIIIIZI",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IIIIIIIIZZ",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIZZII",
"IIIZIIIZII",
"IIIIIIIZIZ"... | [
0.2011904761904762,
0.2011904761904762,
0.25833333333333336,
0.11666666666666667,
0.36666666666666664,
0.15,
0.10119047619047619,
0.175,
0.125,
0.15,
0.017857142857142856,
0.15833333333333333,
0.041666666666666664,
0.11666666666666667,
0.075,
0.10119047619047619,
0.17500000000000002,... | 0.971628 | [
-0.11498831027772223,
1.9273025641516712,
1.126337614381471,
1.5131110821137832,
1.4794300839507522,
1.5081074850202032,
1.2096374756179358,
1.3217925567517017,
2.1272815889228425,
2.000733739627319,
0.24794468614903895,
0.20918623171285455,
0.49227483974766495,
0.5183041298548401,
0.661... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -2.4190476190476193,
"target_ratio": 0.97,
"target_value": -2.346476190476191
} | 31 |
02575a12c565dc28617818fe7f0b4a99 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [123, 118], "expectation_value": -37.43620304047168, "params": null, "bitstrings": ["10000100", "10001001"], "total_optimization_steps": 100, "probabilities": [0.14850359474344763, 0.18487269087280014], "optimization_time": 145.094331741333} | 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(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 9.5 * Z(1) + 7.5 * Z(0) + 13.5 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.23507353246165305) q[0];
ry(-2.4415664310148384) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-2.4499701101813587) q[2];
h q[3];
ry(0.9227705559152606) q[3];
h q[4];
ry(-2.458330084571739) q[5];
rz(-pi) q[5];
h q[6];
ry(39.04965588622594) q[6];
cx q[6], q[5];
ry(-... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(38.6317) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
9.5,
7.5,
13.5,
13.5,
9,
14,
16.5,
4
] | 0.971754 | [
39.04965588622594,
-5.700698017949098,
2.166064408115155,
0.9227705559152606,
0.39121486102403674,
0.6100929370927086,
0.9591104863918101,
0.19270892417635244,
-0.4759729115203181,
0.08905781936669226,
-0.26208726603383503,
-0.3379662386073564,
0.04072076886277337,
-0.19606358742522542,
... | {
"n_parameters": 63,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 51 |
27e0cb7cd7d4c5b7855a750cf9b67fb8 | 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": 2, "target": 3}, {"source": 2, "target": 5}, {"s... | {"states": [255, 6399], "expectation_value": -23.0516980543032, "params": [[[0.0024000000000000002, 0.0023], [1.6229, 0.0026000000000000003], [-0.0021000000000000003, 0.0094], [0.0024000000000000002, 0.0077], [-3.1584000000000003, 0.004], [0.0024000000000000002, 0.0028], [0.0025, 0.004], [0.0025, 0.0055000000000000005]... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + -2.0 * (Z(11) @ Z(9)) + -1.5 * (Z(12) @ Z(10)) + -2.0 * (Z(12) @ Z(9)) + 0.5 * (Z(12) @ Z(11)) + -2.0 * (Z(2) @ Z... | 2 | 13 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["0011100000000"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.005965863742573031) q[0];
rz(-0.010237703617443075) q[0];
rx(1.9463974297215487) q[1];
rz(0.004427936649273832) q[1];
rx(-0.06673973121687449) q[2];
rz(-0.06546617521683656) q[2];
rx(-0.005965863742573031) q[3];
rz(-0.06566318776702953) q[3];
rx(-3.07663491907617... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 13} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIZZIIIII",
"IIIIZIZIIIIII",
"IIIIZIIZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIZIIIII",
"IIIIZZIIIIIII",
"IIZZIIIIIIIII",
"IZZIIIIIIIIII",
"IZIZIIIIIIIII",
"ZIZIIIIIIIIII",
"ZIIZIIIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIZIZII",
"IIIIIIIIZZIII",
"IIIIIIIIIZZII",
"IIIIIIIIIII... | [
-1,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2,
0.5,
-2,
-1.5,
-2,
0.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
-1
] | 0.972585 | [
-0.005965863742573031,
-0.010237703617443075,
1.9463974297215487,
0.004427936649273832,
-0.06673973121687449,
-0.06546617521683656,
-0.06566318776702953,
-3.0766349190761786,
-0.13842282394611286,
-0.03385391553472688,
-0.010011691061963878,
0.043334887780026615,
0.03837095793547782,
0.231... | {
"n_parameters": 17,
"n_qubits": 13,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 1 |
0ae9b6f2b61290137ab22e2dafb0c164 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [10, 20], "expectation_value": -1.1381668868097312, "params": [[-0.0659, -0.065, -0.07740000000000001, -0.08710000000000001], [0.0742, 0.0674, 0.07050000000000001, 0.0755]], "bitstrings": ["10101", "01011"], "total_optimization_steps": 10, "probabilities": [0.06181627792535482, 0.06744768007873352], "optimiz... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11100", "01011", "10101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IZZII",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1,
-1
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
646c4ffdec7c3b688313fcfec6df6ea9 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [28, 14], "expectation_value": -1.7498598566152803, "params": null, "bitstrings": ["100011", "110001"], "total_optimization_steps": 40, "probabilities": [0.07847302400775502, 0.672570709162398], "optimization_time": 31.697940587997437} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["001110", "110001", "010101", "101010", "011100", "100011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(1.9669260845713552) q[0];
ry(0.1024795632901214) q[0];
rz(-1.7618896224722536) q[0];
rz(1.3195676915300085) q[1];
ry(2.675781808525202) q[1];
rz(-2.101131985716676) q[1];
rz(0.659445598074063) q[2];
ry(2.9276292745841843) q[2];
rz(-2.5769113250260087) q[2];
rz(-1.592... | 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(-1.3016) q[2], 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 ... | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIZI",
"ZIIZII",
"IZZIII",
"ZIZIII",
"ZZIIII",
"ZZZIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.973844 | [
-0.03861409541289346,
0.30559213356773784,
0.7326018024600061,
-0.06435106480608022,
0.9547122432617727,
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1.266054401368888,
0.002295537787968205,
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0.03183210554700622,
0.016147551089138828,
-0.018645541425944934,
1.0077607251862293,
1.0367697074034... | {
"n_parameters": 27,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 9 |
646c4ffdec7c3b688313fcfec6df6ea9 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 1}, {"source": 3, "target": 4}]} | {"states": [15285, 15283], "expectation_value": -7.918753872187532, "params": [0.4651, 0.4515, 1.0484, 0.36860000000000004, 1.0562, 0.0196, 1.066, 0.23970000000000002, 0.44270000000000004, 0.49460000000000004, 1.0733000000000001, 0.231, 1.0443, 0.0086, 1.1780000000000002, 0.0263, 0.5348, 0.4665, 1.1376, 0.0880000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 3 | 15 | 3 | {"smallest_eigenvalues": [-9.49999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999941, "smallest_bitstrings": ["100010001001100"], "largest_eigenvalue": 28.50000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(1.9669260845713552) q[0];
ry(0.1024795632901214) q[0];
rz(-1.7618896224722536) q[0];
rz(1.3195676915300085) q[1];
ry(2.675781808525202) q[1];
rz(-2.101131985716676) q[1];
rz(0.659445598074063) q[2];
ry(2.9276292745841843) q[2];
rz(-2.5769113250260087) q[2];
rz(-1.592... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
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0.25,
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0.25,
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0.5,
1,
1,
1,
1.25,
1.25,
1.25,
1.25,
1.25,
1.25,
1,
... | 0.973844 | [
-0.03861409541289346,
0.30559213356773784,
0.7326018024600061,
-0.06435106480608022,
0.9547122432617727,
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1.266054401368888,
0.002295537787968205,
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0.03183210554700622,
0.016147551089138828,
-0.018645541425944934,
1.0077607251862293,
1.0367697074034... | {
"n_parameters": 27,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 9 |
60adc8c0ec7ab7eb551a043d909b727d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 7}, {"source": 2, "target": 6}, {"source": 2, "ta... | {"states": [74, 90], "expectation_value": -2.518978099450955, "params": [0.1882, -0.1431, 0.184, -0.1575, 0.4005, -0.0664, 0.4031, -0.0441, 0.1115, 0.2029, 0.1105, 0.1951, 0.3975, 0.036000000000000004, 0.3986, 0.045700000000000005, 0.3997, 0.0663, 0.404, 0.043300000000000005, 0.18510000000000001, -0.1346, 0.18180000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + -0.5 * Z(5) + -0.5 * Z(0) + 0.0 * Z(4) + -1.0 * Z(2) + -0.5 * Z(1) + -1.5 * Z(7) + -0.5 * Z(6) + -0.5 * Z(3) | 5 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["10100101", "10110001", "00101101"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(3.157629728712919) q[0];
rz(-0.05065862254335604) q[0];
rx(1.6416647304574323) q[1];
rz(0.05964170266436333) q[1];
rx(3.1651119635401623) q[2];
rz(0.05191482781149611) q[2];
rx(-3.1162030666750065) q[3];
rz(0.0469185574307937) q[3];
rx(3.157629728712919) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IIIZIIIZ",
"IIIIIZZI",
"ZIIIIZII",
"ZIIIIIZI",
"IZIIIZII",
"ZZIIIIII",
"IIZIZIII",
"ZIIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0,
-1,
-0.5,
-1.5,
-0.5,
-0.5
] | 0.998031 | [
3.157629728712919,
-0.05065862254335604,
1.6416647304574323,
0.05964170266436333,
3.1651119635401623,
0.05191482781149611,
-3.1162030666750065,
0.0469185574307937,
0.03975562226755169,
-3.137240287190392,
0.03163523954366356,
0.02673832735016573,
0.1325461038340803,
0.10498493591854174,
... | {
"n_parameters": 27,
"n_qubits": 16,
"optimal_eigenvalue": -2.021759259259196,
"target_ratio": 0.97,
"target_value": -1.9611064814814203
} | 1 |
6d4b2051a880acd54ff8a80077c8d448 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"sour... | {"states": [320, 352], "expectation_value": -3.512098041475822, "params": [[[0.4007, 0.0005], [-0.0021000000000000003, 0.19460000000000002], [0.40140000000000003, 0.0019], [0.39130000000000004, -0.0012000000000000001], [0.13090000000000002, 0.1163], [0.18560000000000001, 0.0903], [0.12840000000000001, 0.145000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 *... | 1 | 9 | 4 | {"smallest_eigenvalues": [-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], "number_of_smallest_eigenvalues": 17, "first_excited_energy": -4.0, "smallest_bitstrings": ["101101101", "110001111", "101001111", "010111101", "110111010", "101110101", "101010111", "0111101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.207775216229629) q[0];
ry(2.8867766891536517) q[0];
rz(1.752153293546904) q[0];
rz(-1.0047984019770375) q[1];
ry(0.10528116966931286) q[1];
rz(1.9878758915166586) q[1];
rz(0.6651403432335599) q[2];
ry(2.9279566969432698) q[2];
rz(-2.3302561573891545) q[2];
rz(2.17... | OPENQASM 3.0;
include "stdgates.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",
"IIIIZIIIZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIZIIII",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIZZIIII",
"IIIZIIZII",
"IIZIIZIII",
"ZZIIIIIII",
"IZZIIIIII",
"IZIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIZIIIII",
"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,
-1.5,
-1,
-1,
-1.5,
-0.5,
-1,
-0.5,
-0.5,
-1
] | 0.980819 | [
0.6064727357714883,
-0.049227750498572254,
0.1117785598544507,
0.13670276225363773,
0.662003810817397,
-0.07864511761842063,
0.6749457991028526,
-0.06048870527400741,
0.08714328348803754,
-0.11888901575041405,
-0.15193228440302725,
0.03896827836335622,
0.16047376111632575,
0.15885352533001... | {
"n_parameters": 62,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 12 |
6172ec2f30329f156b64312801e66ef4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6... | {"states": [63, 47], "expectation_value": -1.3588644612544492, "params": [[0.0661, 0.07100000000000001], [-0.06430000000000001, -0.0694]], "bitstrings": ["1000000", "1010000"], "total_optimization_steps": 10, "probabilities": [0.013110307661023578, 0.013315552988277161], "optimization_time": 2.4437501430511475} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1010000", "1011010", "1011000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.15321410223109672) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.15321410223109672) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(-0.003386663219578) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.15321410223109672) 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",
"IIIIZZI",
"IIIZIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-1.25,
-1.25,
-0.25,
-1,
1.5,
-0.75,
-0.5,
-1.25,
-0.75,
-1.5,
-0.25,
1.75,
-1.5,
-0.25,
1.25,
0.5
] | 0.80901 | [
-0.15321410223109672,
-0.003386663219578,
1.3792064432981384,
1.6536245255120825,
0.007415038342467658,
-0.00033579823225607776,
-0.04906685260021198,
1.5514059338137396,
1.57108267036554,
1.549966787492532,
-1.43906272514929
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 276 |
ac7808e35306d42521df6357b30cc9f8 | 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": [262, 341], "expectation_value": -0.9425220073379815, "params": [[0.009300000000000001, 0.0092, 0.0031000000000000003, 0.00030000000000000003, 0.0029000000000000002, 0.0019, 0.0036000000000000003, -0.0009000000000000001, 0.008400000000000001], [0.005200000000000001, 0.0013000000000000002, 0.00390000000000000... | 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(8)) + 15.5 * Z(2) + 6.5 * Z(0) + 3.0 * Z(1) + 8.0 * Z(4) + 3.5 * Z(5) + 16.5 * Z(6) + -0.5 * Z(8) + -5.5 * Z(7) + -10.0 * Z(3) | 9 | 9 | 3 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["010101010"], "largest_eigenvalue": 125.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.18578970763692484) q[0];
h q[0];
rx(-0.9905311963795862) q[1];
h q[1];
rx... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIZZIIII",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIZIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
15.5,
6.5,
3,
8,
3.5,
16.5,
-0.5,
-5.5,
-10
] | 0.101449 | [
0.18578970763692484,
-0.9905311963795862,
-1.4386405396072666,
0.39790770307276463,
-0.6178967256933187,
-1.0279110455679064,
-0.8764471602417858,
-0.000020454614055028323,
0.8552587125829881,
0.7050468925035033,
-1.0982393420854226,
1.1849778645218856,
-0.31115775879007374,
-0.82154838996... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -69,
"target_ratio": 0.97,
"target_value": -66.92999999999999
} | 500 |
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