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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
4ecc9ed771dcd331d5bd236a08ecb2e8 | 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": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.20049240080530553, "params": [[0.2441], [-0.24180000000000001]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 30, "probabilities": [3.299752125758684e-05, 3.299752125758685e-05], "optimization_time": 16.704980611801147} | 0.25 * (Z(0) @ Z(1)) + 0.00017361111111111112 * (Z(2) @ Z(0)) + 0.00017361111111111112 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006944444444444446 * (Z(4) @ Z(0)) + -0.0006944444444444446 * (Z(4) @ Z(2)) + -0.0006944444444444446 * (Z(5) @ Z(1)) + -0.0006944444444444446 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.020052083333292], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0200520833332702, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.013802083333328} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.4857159058120326) q[0];
ry(1.65345896141985) q[1];
ry(0.049150286872270486) q[2];
ry(1.3916419501757977) q[3];
ry(0.05203213632920689) q[4];
ry(1.598849010244965) q[5];
ry(0.08507393595632984) q[6];
ry(1.2780529619768426) q[7];
ry(-0.2718397714828258) q[8];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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]... | {"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,
0.00017361111111111112,
0.00017361111111111112,
0.25,
-0.0006944444444444446,
-0.0006944444444444446,
-0.0006944444444444446,
-0.0006944444444444446,
0.25,
-0.0006944444444444446,
-0.0006944444444444446,
-0.0003472222222222223,
-0.0006944444444444446,
-0.0006944444444444446,
-0.000... | 0.971189 | [
1.4857159058120326,
1.65345896141985,
0.049150286872270486,
1.3916419501757977,
0.05203213632920689,
1.598849010244965,
0.08507393595632984,
1.2780529619768426,
-0.2718397714828258,
-0.18888355982837798,
1.7257529901987163,
0.02136160169509732,
1.7892359196427698,
-0.1205440492362277,
1.... | {
"n_parameters": 32,
"n_qubits": 16,
"optimal_eigenvalue": -2.020052083333296,
"target_ratio": 0.97,
"target_value": -1.959450520833297
} | 21 |
f80c16dfdeb8c50f33bdf5ec5f2943a3 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 7}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "ta... | {"states": [0, 96], "expectation_value": -21.875962382874857, "params": [1.0527, 0.7129000000000001, 0.0025, 0.0016, 0.0064, -0.0014, 0.0024000000000000002, 0.0024000000000000002, 0.005200000000000001, 0.0, 0.0055000000000000005, -0.0009000000000000001, 0.0083, -0.0037, -0.8986000000000001, -0.024900000000000002, 1.543... | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(6)) + -2.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(2)) + 1.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + -2.5 * Z(6) + -2.5 * Z(2) + -2.5 * Z(3) + -2.5... | 14 | 7 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["0011111"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.2602403803497721) q[0];
cx q[1], q[0];
rz(-0.3106888048774703) q[0];
rx(1.0469337890631476) q[0];
rz(-0.3106888048774703) q[1];
rx(1.0469337890631476) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[2];
rz(0.676043244820184) ... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIZZ",
"ZIIIZII",
"ZIIZIII",
"IIIZZII",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"ZZIIIII",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-1,
-2.5,
-2.5,
1,
1,
0.5,
1,
-3,
1,
-2.5,
-2.5,
0.5,
0.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5
] | 0.49073 | [
1.2602403803497721,
0.676043244820184,
0.0766749250504074,
-0.3106888048774704,
0.40553389858720224,
1.0469337890631474
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 164 |
3576942539001390434 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 2], [1, 2, 3]]} | {"states": [3, 6], "expectation_value": -0.01704080819947394, "params": [[-0.075], [0.077]], "bitstrings": ["1100", "1001"], "total_optimization_steps": 10, "probabilities": [0.06464714605400985, 0.06464714605400985], "optimization_time": 0.33237743377685547} | 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666663 * Z(2) + 0.0 * Z(0) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1100", "1001", "0010"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.456809253802087) q[0];
cx q[2], q[0];
rz(0.3433150200477546) q[0];
rx(0.8231232906844698) q[0];
cx q[2], q[1];
rz(-0.3979238518876864) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.3979238518876864) q[3];
cx q[2], q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x1) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(x... | null | {"circuits": [], "gradients": []} | [
"IZIZ",
"IZZI",
"ZZII",
"ZIZI",
"IZII",
"IIIZ",
"IIZI",
"ZIII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0,
0.16666666666666666,
0.16666666666666666
] | 0.755683 | [
-1.456809253802087,
-0.3979238518876864,
0.3433150200477544,
0.8231232906844697
] | {
"n_parameters": 4,
"n_qubits": 4,
"optimal_eigenvalue": -0.8333333333333333,
"target_ratio": 0.97,
"target_value": -0.8083333333333332
} | 107 |
647765b6ab0983718acd0fd4721756f9 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [2019, 2047], "expectation_value": -0.35835744314975354, "params": [[0.0396], [-0.0273]], "bitstrings": ["00000011100", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0005673268389055556, 0.0005695261014923395], "optimization_time": 4.415831804275513} | -2.0 * (Z(0) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(10)) + 0.5 * (Z(2) @ Z(10)) + -2.0 * (Z(2) @ Z(9)) + 0.5 * (Z(3) @ Z(10)) + -2.0 * (Z(3) @ Z(9)) +... | 5 | 11 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.047905906202147505) q[0];
ry(0.07815955579413861) q[1];
ry(0.14554066803158464) q[2];
ry(-0.04192860760811422) q[3];
ry(-0.10658023757062787) q[4];
ry(-0.10658023757062787) q[5];
ry(0.05689852036351767) q[6];
ry(0.14554066803158464) q[7];
ry(-0.10658023757062787)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIIIIIZIIZI",
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZZIIIIIIIII",
"ZIIIIIIIZII",
"IZIIIIIIZII",
"ZIIIIIIZIII",
"IZIIIIIZIII",
"IIIIIIIZZII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIIII... | [
-2,
-2,
-2,
-2,
1,
-2,
-1.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.971473 | [
-0.047905906202147505,
0.07815955579413861,
0.14554066803158464,
-0.04192860760811422,
-0.10658023757062787,
0.05689852036351767,
0.265888080302116,
0.08882266289314884,
3.2652917603856744,
0.2133011234292173,
-0.033123425719088634,
0.05498080749663792,
0.1385954854718785
] | {
"n_parameters": 13,
"n_qubits": 11,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 16 |
-5254658515708229251 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[11, 6], [0, 1, 4, 8, 10], [0, 3, 4, 6, 10], [2, 5], [1, 4, 6, 7, 8], [1, 2, 4, 8, 11], [0, 7], [3, 7], [9, 10, 11, 7], [2, 6], [9, 10, 5], [8, 10, 6, 7], [9, 2], [9, 4], [0, 11], [3, 5], [5, 6], [1, 7, 6, 9], [8, 3, 11]]} | {"states": [1611, 3659], "expectation_value": -4.5822607933149815, "params": [[[1.616, 0.0073], [3.1447000000000003, 0.009600000000000001], [3.1445000000000003, 0.0041], [0.1341, 0.0051], [-0.0024000000000000002, 0.004], [3.1429, 0.0078000000000000005], [0.2601, 0.0002], [0.002, 0.0024000000000000002], [3.1445000000000... | 0.5 * (Z(3) @ Z(8)) + 0.05 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(3)) + 0.13333333333333333 * (Z(1) @ Z(8)) + 0.05 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(0)) + 0.1 * (Z(6) @ Z(8)) + 0.05 * (Z(6) @ Z(3)) + 0.1 * (Z(6) @ Z(0)) + 0.15000000000000002 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(10) @ Z(8)) + 0.21666666666666667 * (Z(... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.933333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.733333333333333, "smallest_bitstrings": ["000110110100"], "largest_eigenvalue": 14.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.754355144359988) q[0];
rz(0.03912396915706862) q[0];
rx(3.0947553474073) q[1];
rz(-0.5728861116376881) q[1];
rx(3.0773454422246806) q[2];
rz(-0.370466450773683) q[2];
rx(0.03662737388593061) q[3];
rz(0.5088915774061508) q[3];
rx(-0.1698440426779601) q[4];
rz(-0.05... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIZIIIIZIII",
"IIIZIIIIIIIZ",
"IIIIIIIIZIIZ",
"IIIZIIIIIIZI",
"IIIIIIIIZIZI",
"IIIIIIIIIIZZ",
"IIIZIZIIIIII",
"IIIIIZIIZIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIIZI",
"IZIZIIIIIIII",
"IZIIIIIIZIII",
"IZIIIIIIIIIZ",
"IZIIIIIIIIZI",
"IZIIIZIIIIII",
"IIIZIIIIIZII",
"IIIIIIIIZZII",
"IIIIIIIII... | [
0.5,
0.05,
0.5,
0.13333333333333333,
0.05,
0.05,
0.1,
0.05,
0.1,
0.15000000000000002,
0.13333333333333333,
0.21666666666666667,
0.05,
0.15000000000000002,
0.15000000000000002,
0.13333333333333333,
0.08333333333333333,
0.1,
0.05,
0.1,
0.13333333333333333,
0.05,
0.166666666... | 0.982475 | [
2.754355144359988,
0.03912396915706862,
3.0947553474073,
-0.5728861116376881,
3.0773454422246806,
-0.370466450773683,
0.03662737388593061,
0.5088915774061508,
-0.1698440426779601,
-0.059638587799455904,
3.030327849508667,
-0.23678875198714003,
0.10849298293990084,
0.12134589000430722,
0.... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -5.933333333333333,
"target_ratio": 0.97,
"target_value": -5.755333333333333
} | 12 |
965cefed52e621c4c90674f817650a6a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1... | {"states": [63, 17], "expectation_value": -4.311656557064897, "params": [[-0.2681], [0.27940000000000004]], "bitstrings": ["1000000", "1101110"], "total_optimization_steps": 30, "probabilities": [0.05070669362142392, 0.056656919259009966], "optimization_time": 2.9185025691986084} | -0.75 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + -1.5 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -0.75 * Z(5) + -0.25 * Z(0) + 0.0 * Z(1) + -0.5 * Z(4) + 2.25 * Z(2) + -0.75 * Z(3) +... | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1101110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.1371628149450172) q[0];
rz(0.10881632348659742) q[0];
rx(0.1864024038899948) q[1];
rz(-0.3195045955826069) q[1];
rx(2.9880337255288247) q[2];
rz(0.22207265633894677) q[2];
rx(-0.13106700905450344) q[3];
rz(0.2476665926713589) q[3];
rx(-0.13106700905450344) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"IZIIIZI",
"IZZIIII",
"IIZIIZI",
"IIIIZZI",
"IZIZIII",
"IIIZZII",
"ZIIIIIZ",
"ZIZIIII",
"ZIIIZII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-1.5,
-1.5,
-0.75,
-0.75,
-1.5,
-0.75,
1,
-0.25,
-0.75,
-0.75,
-0.25,
0,
-0.5,
2.25,
-0.75,
0
] | 0.97292 | [
0.1371628149450172,
0.10881632348659742,
0.1864024038899948,
-0.3195045955826069,
2.9880337255288247,
0.22207265633894677,
-0.13106700905450344,
0.2476665926713589,
-0.3079948270469457,
-0.013323840461271053,
0.4235835529470447,
2.634184532901478
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 11 |
fdfbddd83ad5e4b88801b3192987124e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2... | {"states": [1, 57], "expectation_value": -8.452899856368653, "params": null, "bitstrings": ["1111110", "1000110"], "total_optimization_steps": 52, "probabilities": [0.1796831586444573, 0.5310193734902531], "optimization_time": 60.22852659225464} | -0.75 * (Z(0) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.75 * Z(5) + 1.0 * Z(6) + 0.75 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["1111110", "1000110"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.3200396269150379) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.08926708559789197) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.3200396269150379) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(-0.382786... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.57) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];... | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIZI",
"IIIIZZI",
"IIZZIII",
"ZIIZIII",
"IIIZIZI",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
-1.5,
-1,
2,
-0.25,
-0.75,
-1,
-0.5,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.75,
1,
0.75,
-0.25,
0
] | 0.810073 | [
-0.3200396269150379,
0.08926708559789197,
-0.3827861201307439,
0.3471470627240742,
-0.7515704665862538,
-0.3267668593634906,
0.16898582939016338,
-0.7763201657017763,
-0.815770852515257,
-1.535634986606571,
-0.5078065568147562,
-0.15503038467109106,
-0.7855234435767351,
0.5365222126647917,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 448 |
c502b67eb6d91d909ba398fa39bec60c | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [2, 0], "expectation_value": -2.1123752360149437, "params": null, "bitstrings": ["1101", "1111"], "total_optimization_steps": 5, "probabilities": [0.003925267827143744, 0.9874310668157752], "optimization_time": 4.46280312538147} | 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... | 1 | 4 | 4 | {"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[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5158) q[0];\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",
"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 |
a5ed7eede810699e2d9af5ed9c659ccd | 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": [809, 805], "expectation_value": -133.9416843246516, "params": [[0.0106, -0.0021000000000000003, 0.4582, 0.7905000000000001, -0.007200000000000001, 0.0132, 0.7848, -0.0027, 0.47940000000000005, -0.6355000000000001, 0.0027, 0.7831], [-0.08410000000000001, -0.0023, 1.1388, 1.4275, -0.11420000000000001, -0.0079... | 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(0) @ Z(3)) + 8.0 * (Z(6) @ Z(3)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(8) @ Z(2)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(11) @ Z(4)) + 8.0 * (Z(10) @ Z(11)) + 14.0 * Z(2) + 10.5 * Z(4) + 24.0 * Z(3) + 0.5 * Z(0) + 15.0 * Z(6) + -3.5 *... | 10 | 12 | 3 | {"smallest_eigenvalues": [-138.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -128.5, "smallest_bitstrings": ["110011011010"], "largest_eigenvalue": 176.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.005705282141703792) q[0];
ry(-0.11767167094998023) q[1];
ry(0.4934381851770701) q[2];
ry(0.818265937895706) q[3];
ry(-0.1114895245911875) q[4];
ry(-0.009460933217650843) q[5];
ry(0.911760423534501) q[6];
ry(0.07094860012407365) q[7];
ry(0.4340627188282074) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZII",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIIIZIIZ",
"IIIIIZIIZIII",
"IIIIIZIIIIIZ",
"IIIIIZZIIIII",
"IIIZIIIIIZII",
"IIZZIIIIIIII",
"ZIIIIIIZIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIIIIIIIZ",
"IIIIIZIIIIII",
"IIIIIIZIIIII",
"IIIZIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
14,
10.5,
24,
0.5,
15,
-3.5,
3,
0,
5.5,
-7.5,
-12,
-15
] | 0.97175 | [
0.005705282141703792,
-0.11767167094998023,
0.4934381851770701,
0.818265937895706,
-0.1114895245911875,
-0.009460933217650843,
0.911760423534501,
0.07094860012407365,
0.4340627188282074,
-0.769627972371513,
-0.0326963662606089,
0.8744493633808526,
-0.04578927607861206,
0.05826000127069321,... | {
"n_parameters": 41,
"n_qubits": 12,
"optimal_eigenvalue": -138.5,
"target_ratio": 0.97,
"target_value": -134.345
} | 6 |
18eef7556e7c99f2056daf5370482c12 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 5}, {"weight": 18, "source": 1, "tar... | {"states": [202, 234], "expectation_value": -42.98247639219426, "params": null, "bitstrings": ["100110101", "100010101"], "total_optimization_steps": 100, "probabilities": [0.17712296465766092, 0.21581777408593364], "optimization_time": 201.48496079444885} | 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(3) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 170.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.910725201830011) q[0];
rz(-pi) q[0];
h q[1];
ry(14.226814631084332) q[1];
rz(-pi) q[2];
ry(-2.8276055261302573) q[2];
rz(-pi) q[3];
ry(-0.6037335772354969) q[3];
h q[4];
ry(-2.503200618475903) q[5];
rz(-pi) q[5];
cx q[1], q[5];
ry(-0.634351839760383) q[5];
cx q[1]... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(23.9941) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
15,
5.5,
23.5,
18,
0.5,
22.5,
13,
5.5,
-1
] | 0.972353 | [
23.579116185633968,
63.12990552371649,
12.80359732253481,
14.226814631084332,
1.268703679520766,
-17.389883838771233,
4.50366295300341,
0.28630146122490274,
2.0891079396670342,
-41.664855259309064,
-18.144190662538225,
50.08291549902295,
-0.7897217290145451,
6.876816994677622,
49.5161117... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -89,
"target_ratio": 0.97,
"target_value": -86.33
} | 104 |
4d9ac715337d62f02411db1f75f87fba | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1103, 1101], "expectation_value": -70.07466499432228, "params": [2.2986, 0.0018000000000000002, -0.0025, 0.0019, 1.0192, 0.0051, -0.0026000000000000003, 0.0073, 2.3122000000000003, 0.0099, 0.0019, 0.0085, 1.1243, 0.0031000000000000003, 2.3096, 0.0004, 2.294, 0.0027, 1.4808000000000001, 0.0064, 2.29620000000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(2) @ Z(7)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(7)) + 7.5 * (Z(10) @ Z(2)) + 7.5 * (Z(10) @ Z(8)) + 7.5 * (Z(10) @ Z(9)) + -5.0 * Z(1) + -1.0 * Z(0) + -3.5 * Z(5) + 1.5 * Z(4) + 17.0 * Z(7) + 1.0 * Z(2) + 2.0 * Z(6) + 1... | 18 | 11 | 1 | {"smallest_eigenvalues": [-114.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -106.0, "smallest_bitstrings": ["01110110010"], "largest_eigenvalue": 158.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(2.9475944380215178) q[0];
rz(0.022639521087339354) q[0];
rx(0.3392944198655483) q[1];
rz(-0.20349671677079173) q[1];
rx(-0.28772196578118037) q[2];
rz(-0.20801087777287214) q[2];
rx(0.16971335465973958) q[3];
rz(1.2399580439799962) q[3];
rx(3.0831859583405725) 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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZZIIII",
"IIIZIIIIZII",
"IIIZZIIIIII",
"IIZIZIIIIII",
"IZZIIIIIIII",
"ZIIZIIIIIII",
"ZIIIIIIIZII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIIIIIIIZII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IZIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-5,
-1,
-3.5,
1.5,
17,
1,
2,
14,
4.5,
24,
-12.5
] | 0.976183 | [
2.9475944380215178,
0.217807338278422,
0.3392944198655483,
-0.20349671677079173,
-0.28772196578118037,
-0.20801087777287214,
0.16971335465973958,
1.2399580439799962,
3.0831859583405725,
-0.20895763541061493,
0.12841870575215233,
0.1488386606820186,
0.12998456271741343,
3.110297168400015,
... | {
"n_parameters": 28,
"n_qubits": 11,
"optimal_eigenvalue": -114,
"target_ratio": 0.97,
"target_value": -110.58
} | 21 |
af7ff602e385e2b324d14d3396a2867f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 6}]} | {"states": [48, 32], "expectation_value": -2.5029183866150344, "params": [[[0.5562, 0.006500000000000001], [0.5053, 0.055900000000000005], [0.0049, 0.2551], [0.0011, 0.2732], [0.0044, 0.42910000000000004], [0.0043, 0.4389]], [[0.5563, 0.006500000000000001], [0.5017, 0.055900000000000005], [-0.0001, 0.4131], [0.00340000... | 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)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(1) @ Z(4) @ Z(5)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.75 * Z(3) + -0.75 * Z(4) + -0.75 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["101111", "011111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.258296592739029) q[0];
ry(2.7563027754990026) q[0];
rz(-0.6035422421175172) q[0];
rz(1.8056855793288262) q[1];
ry(0.1335104346912194) q[1];
rz(-1.4728243365323184) q[1];
rz(0.9797327229011552) q[2];
ry(0.0729814338846568) q[2];
rz(0.3762903216833018) q[2];
rz(-1.99... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IIZZIZ",
"IZIIZI",
"ZIIIZI",
"ZZIIII",
"ZZIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.75,
-0.75,
-0.75
] | 0.980599 | [
1.034242791672522,
0.14240602016187207,
0.017687663152958916,
0.07320273075620679,
0.23209054156592357,
0.6410489198724177,
-0.04129105525821289,
0.3945629506721092,
0.13692459780759939,
0.6369740569104005,
0.025853495707741328,
0.5588185401553514,
1.0013786116648535,
-0.2008258646245596,
... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 12 |
e8dd55008e3933710b03cfbc8470c4e8 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": ... | {"states": [0, 960], "expectation_value": -24.846883117785787, "params": [0.3846, -0.055200000000000006, -0.8008000000000001, 0.00030000000000000003, -1.0218, 0.19340000000000002, -0.0308, 0.0027, -1.1472, 0.10310000000000001, 0.2033, 0.005, 1.1796, 0.07250000000000001, 0.5372, 0.0064, 0.0039000000000000003, 1.98680000... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -3.5 * (Z(7) @ Z(4)) + 1.0 * (Z(8) @ Z(6)) + -3.5 * (Z(8) @ Z(4)) + 1.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + -2.5 * (Z(9) @ Z(4)) + -2.5 * (Z(9) @ Z(7)) + 0.5 ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.0, "smallest_bitstrings": ["0000111111"], "largest_eigenvalue": 34.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0472054222518248) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.0642674035381499) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.290125711784593) q[2];
cx q[0], q[2];
rz(0.29012571178459323) q[0];
rx(1.0482489040764311) q[0];
h 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[... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIZIIZIIII",
"IZIZIIIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIIIIZIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IIZIZIIIII",
"IZIIZIIIII",
"ZIIIZIIIII"... | [
-1.5,
-2,
0.5,
0.5,
-1.5,
-3,
1,
-3.5,
1,
-3.5,
1.5,
0.5,
-2.5,
-2.5,
0.5,
-3,
1.5,
-3.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1.5,
-2.5,
-2,
1,
-2
] | 0.565841 | [
1.0472054222518248,
1.0642674035381499,
0.290125711784593,
0.40319135941798157,
0.18798496344719423,
0.42205399679575784,
0.21577293900001437,
0.748292855885303,
1.0482489040764311
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -27,
"target_ratio": 0.97,
"target_value": -26.189999999999998
} | 216 |
8b86b8c78e12bc4605ea690d344857fc | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [97, 112], "expectation_value": -4.996398053155645, "params": null, "bitstrings": ["0011110", "0001111"], "total_optimization_steps": 31, "probabilities": [0.06635227233323854, 0.930326732687149], "optimization_time": 26.50091791152954} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100101", "0011110", "0001111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.11920669744375724) q[0];
ry(1.9252508201424514) q[1];
ry(2.0998903902431776) q[2];
ry(0.56188800462726) q[3];
ry(1.4726899163457718) q[4];
ry(-0.1346655007152434) q[5];
ry(0.996913031915014) q[6];
ry(-0.10275167613215101) q[7];
ry(0.6854602440857133) q[8];
ry(-0.... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IZIIIIZ",
"IZZIIII",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"IIZIZII",
"ZZIIIII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-2,
-1.5,
-1,
-0.5,
-0.5
] | 0.97554 | [
-0.11920669744375724,
1.9252508201424514,
2.0998903902431776,
0.56188800462726,
1.4726899163457718,
-0.1346655007152434,
0.996913031915014,
-0.10275167613215101,
0.6854602440857133,
-0.22894010122808994,
0.9491217717230883,
-0.0770458490092001,
0.08523896558135396,
-0.13916357234307355,
... | {
"n_parameters": 33,
"n_qubits": 11,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 34 |
8cffed0a6ee313f29bb5a21cb84f4001 | 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": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [11, 82], "expectation_value": -0.10349011960275938, "params": [[-0.0436], [0.0536]], "bitstrings": ["1110100", "0101101"], "total_optimization_steps": 10, "probabilities": [0.008292327162365136, 0.00829232716236514], "optimization_time": 1.2541656494140625} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + -0.5 * Z(3) + -1.0 * Z(0) + -2.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(1) + -0.5 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["1000111", "1100101", "0001111", "1010110", "0101101", "1110100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.0016199476587019195) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.0016199476587019195) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-1.3526428071839505) q[3];
rx(1.5735684418420288) q[3];
rz(0.0016199476587019195) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"IZZIIII",
"IZIIIZI",
"IIZIZII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIIIZI",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-2,
-1,
-0.5,
0,
-0.5
] | 0.986849 | [
0.0016199476587019195,
-1.3526428071839505,
1.491333944975746,
1.4956820672918503,
1.7400025418631098,
1.5735684418420288
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 36 |
5f46e3caaa931f446d5d37e76f941f6b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [65, 1], "expectation_value": -12.999993510485895, "params": null, "bitstrings": ["0111110", "1111110"], "total_optimization_steps": 19, "probabilities": [6.489458717164528e-07, 0.9999993510435916], "optimization_time": 13.812601327896118} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(0)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(5)) + -1.0 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(2)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.5 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.05661121897376136) q[0];
h q[1];
ry(-1.604518163982522) q[1];
h q[2];
ry(-1.604518163982522) q[2];
h q[3];
ry(-1.604518163982522) q[3];
h q[4];
ry(-1.604518163982522) q[4];
h q[5];
ry(-1.604518163982522) q[5];
h q[6];
ry(1.5022165539344468) q[6];
cx ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IIZIZII",
"IZIIZII",
"IIZZIII",
"ZIIZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
-0.25,
-0.75,
-1.25,
2.5,
-0.75,
-0.75,
-1.25,
-1.25,
-1,
-0.25,
-1.25,
-0.75,
-0.25,
-0.5,
0.5,
1.5,
-1,
0.5
] | 0.997589 | [
1.5022165539344468,
-1.604518163982522,
-0.04577876357227252
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 1 |
f576c10acf9721a494b98bd9a9046b76 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [1023, 511], "expectation_value": -12.07712515088147, "params": [[[-0.0014, 0.0034000000000000002], [-1.5665, 1.5714000000000001], [-0.002, 1.5737], [0.0019, -0.0024000000000000002], [-0.0027, -0.0031000000000000003], [-0.003, -0.0028], [-0.0031000000000000003, -0.0032], [-0.0024000000000000002, -0.003100000... | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(9)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.... | 15 | 11 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11000000000"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.017785092102325838) q[0];
ry(-1.3274370854165811) q[1];
ry(-0.062306889867908825) q[2];
ry(0.0016252313336186722) q[3];
ry(-0.015079250253288913) q[4];
ry(-0.05420065445922713) q[5];
ry(0.008930246742059719) q[6];
ry(0.006836847225779839) q[7];
ry(-0.0453554032014... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"ZIIZIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIZZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IZIIIIIIIII",
"IIIZIIIIIII",
"IIZIIIIII... | [
0.5,
-1.5,
0.5,
-1.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971385 | [
0.017785092102325838,
-1.3274370854165811,
-0.062306889867908825,
0.0016252313336186722,
-0.015079250253288913,
-0.05420065445922713,
0.008930246742059719,
0.006836847225779839,
-0.045355403201414304,
-3.125696111244288,
-0.019676666337256128,
0.015032946944220277,
3.0726672684297385,
-0.0... | {
"n_parameters": 16,
"n_qubits": 11,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 167 |
-560962805425051736 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[1, 2], [0, 2], [2, 3]]} | {"states": [2, 13], "expectation_value": -0.03305106449733344, "params": [[0.0726], [-0.07730000000000001]], "bitstrings": ["1101", "0010"], "total_optimization_steps": 10, "probabilities": [0.06665135369113472, 0.06665135369113472], "optimization_time": 0.39802098274230957} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1101", "0010"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.9553165928608945) q[1];
cx q[2], q[1];
rz(-4.490924254696438e-08) q[1];
rx(-0.7853981689246499) q[1];
cx q[2], q[0];
rz(0.9553165928608945) q[0];
cx q[2], q[0];
rz(-4.490924254696438e-08) q[0];
rx(-0.7853981689246499) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
rz(x1) q[2];
rz(x1) q[1];
rz(x1) q[0];
... | null | {"circuits": [], "gradients": []} | [
"IZZI",
"IZIZ",
"ZZII",
"IZII",
"IIZI",
"IIIZ",
"ZIII"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.544331 | [
0.9553165928608945,
-4.490924239659428e-8,
-0.7853981689246499
] | {
"n_parameters": 3,
"n_qubits": 4,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 91 |
3d1dde02abe951da208ed22501079cfd | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -9.700487389907737, "params": [[-0.031900000000000005, -0.0402, -0.0055000000000000005, 0.0546], [0.0363, 0.0655, 0.0466, -0.007]], "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.009472307354219302, 0.010299470945280508], "optimizatio... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 5 | 8 | 4 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(0.01916910831901575) q[0];
ry(0.040011321484877946) q[0];
rz(-0.3297910839494538) q[0];
rz(-0.6279459329093449) q[1];
ry(0.04144721688536006) q[1];
rz(1.3890117666592916) q[1];
rz(1.2678448526061201) q[2];
ry(0.3643402784305616) q[2];
rz(-2.253218816818194) q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7,
-7,
-7,
-7.5,
-6.25,
-6.5,
-6.25
] | 0.973939 | [
-0.06665264922991992,
-0.536085762019275,
0.05219494770080912,
0.4134012993974177,
0.2394787235997971,
-0.7739367453951336,
0.4866368394148667,
-0.0401288681240079,
0.008567340947978966,
0.15545946273142092,
1.3726489496448595,
0.04126656472357189,
0.9034759098953484,
1.9977648676974686,
... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 17 |
613ef125dc4e28340a6427c0ac6373f5 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 3, "target": 2}, {"capacity": 3, "source": 3, "target": 6... | {"states": [50172, 58364], "expectation_value": -6.618740856920288, "params": [0.8013, 0.0036000000000000003, 0.8069000000000001, 0.0036000000000000003, 0.7992, 0.0036000000000000003, 0.0026000000000000003, -0.5897, 0.0028, 0.5953, 0.0026000000000000003, 0.6123000000000001, 0.8029000000000001, 0.0041, 0.8045, -0.003100... | 0.875 * (Z(0) @ Z(1)) + 0.875 * (Z(2) @ Z(1)) + 0.4375 * (Z(2) @ Z(0)) + 2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(8)) + 1.0 * (Z(10) @ Z(11)) + 3.0 * (Z(12) @ Z(11)) + 1.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(13)) + 1.0 * (Z(14) @ Z(13... | 16 | 16 | 2 | {"smallest_eigenvalues": [-37.62499999999966], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.74999999999966, "smallest_bitstrings": ["0001110000000011"], "largest_eigenvalue": 84.37500000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(2.33246591973068) q[0];
rz(-1.4797298029163883) q[0];
rx(3.034262380501139) q[1];
rz(-1.3671634194239497) q[1];
rx(2.844954897000549) q[2];
rz(-0.1507424939227966) q[2];
rx(0.09303229139166129) q[3];
rz(-0.1919721744733692) q[3];
rx(0.09303229139166129) q[4];
rz(0.4... | 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIZZIIIIII",
"IIIIIIIZZIIIIIII",
"IIIIIIIZIZIIIIII",
"IIIIIIZIZIIIIIII",
"IIIIIIZIIZIIIIII",
"IIIIIIZZIIIIIIII",
"IIIIZZIIIIIIIIII",
"IIIZZIIIIIIIIIII",
"IIIZIZIIIIIIIIII",
"IIZIIIIIIIIIZIII",
"IZZIIIIIIIIIIIII",
"IZIIIII... | [
0.875,
0.875,
0.4375,
2,
1,
0.5,
2,
1,
1,
1,
3,
1.5,
-0.5,
1,
-1,
1,
-1,
2,
-1,
0.875,
-2,
-2,
-0.5,
0.4375,
-1,
-1,
0.875,
3.5,
1.75,
1.75,
9,
4.5,
3,
6,
6,
3,
9,
0.5,
-0.75,
1,
1,
-1.5,
-0.75
] | 0.975514 | [
2.33246591973068,
-0.9324153315878805,
3.034262380501139,
-1.3671634194239497,
2.844954897000549,
-0.1507424939227966,
0.09303229139166129,
-0.1919721744733692,
0.48148107538044876,
0.2220551215114627,
1.071389716391299,
2.8122451934812642,
-0.11827595875594393,
2.998101331925135,
-1.094... | {
"n_parameters": 40,
"n_qubits": 16,
"optimal_eigenvalue": -37.624999999999694,
"target_ratio": 0.97,
"target_value": -36.496249999999705
} | 33 |
2d427a1b11a2ac0cd77be7e19f4886a5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [17, 31], "expectation_value": -5.003273325054742, "params": null, "bitstrings": ["101110", "100000"], "total_optimization_steps": 46, "probabilities": [0.06089525169923372, 0.7530569891117818], "optimization_time": 40.5008020401001} | 0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * Z(5) + -0.25 * Z(0) + 0.25 * Z(1) + -0.75 * Z(4) + -0.25 * Z(2) + 1.25 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-0.36832466187853724) q[0];
h q[1];
ry(0.6996506090294817) q[1];
h q[2];
ry(1.4341160390699692) q[2];
h q[3];
ry(0.4350596706101028) q[3];
h q[4];
cx q[4], q[3];
ry(-0.4350596706101028) q[3];
cx q[4], q[3];
cx q[3], q[2];
ry(-1.4341160390699692) q[2];
c... | 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(1.5708) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"ZIIIIZ",
"ZIIIZI",
"IZIIZI",
"IIIZZI",
"IIZIZI",
"IZZIII",
"IIZZII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
0.25,
-0.5,
-0.75,
-0.75,
-0.25,
-2,
-1,
-0.25,
-0.25,
0.25,
-0.75,
-0.25,
1.25
] | 0.972729 | [
0.8701193412202056,
1.4380100031703458,
1.3993012180589635,
2.8682320781399384,
1.8506303529500285,
-0.13033527471164086,
-0.8865785813861408,
-2.183550689572806,
1.5402963289907818,
0.48885940179874426,
-1.2256497487012028,
-0.16742620949253897,
2.0704686115455657,
-0.4358628055452006,
... | {
"n_parameters": 29,
"n_qubits": 6,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 108 |
a7b6961c0e010c5cd9220aed7c02d87e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [31, 11], "expectation_value": -1.5540121116005432, "params": [[0.0799, 0.077, 0.0786, 0.0776], [-0.0843, -0.0779, -0.078, -0.0767]], "bitstrings": ["100000", "110100"], "total_optimization_steps": 10, "probabilities": [0.0436580286768794, 0.04712350067041791], "optimization_time": 6.311222791671753} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(2) + 0.25 ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["110100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.001959798150095337) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.001959798150095337) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.3815866551963541) q[2];
cx q[1], q[2];
rz(0.3815866551963541) q[3];
cx q[0], 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",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"IIZZII",
"ZIIIIZ",
"ZIIZII",
"IZIIZI",
"IZZIII",
"IZIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.75,
0.75,
0.25,
0.75
] | 0.685194 | [
0.001959798150095337,
0.3815866551963541,
-0.02024676984199178,
1.5645802848410972,
-1.559643606159173,
-1.5674598134785187,
1.542213756241811
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 175 |
8c44c442a25e00dfae4e1647b2faf79f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [5, 6], "expectation_value": -2.4741067800343983, "params": null, "bitstrings": ["11010", "11001"], "total_optimization_steps": 15, "probabilities": [0.07397901535883082, 0.900574512415704], "optimization_time": 7.468961238861084} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "11001", "10110", "01101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIIZ",
"IZIZI",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5,
-0.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
d742f18d9d61b691ec5b2dbe8d1ae52d | 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": 12, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 5}, {"weight": 19, "source": 1, "ta... | {"states": [237, 236], "expectation_value": -17.65080172772011, "params": [[-0.0287, -0.009000000000000001], [0.0526, 0.0673]], "bitstrings": ["100010010", "100010011"], "total_optimization_steps": 10, "probabilities": [0.0050301709047253585, 0.0062331115790328455], "optimization_time": 3.4564263820648193} | 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(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 10.5 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 158.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.17395330551120458) q[0];
rz(0.6431646181740795) q[0];
rx(1.6954688567067546) q[1];
rz(-0.028620454418304114) q[1];
rx(1.5403158318592238) q[2];
rz(0.023881487221566803) q[2];
rx(1.5635728311765713) q[3];
rz(-0.27303456014271554) q[3];
rx(0.2823681779893861) 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", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIZII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10.5,
9.5,
20.5,
9.5,
17,
5,
14.5,
10,
-1
] | 0.976931 | [
0.17395330551120458,
0.31144105261471694,
1.6954688567067546,
-0.028620454418304114,
1.5403158318592238,
0.023881487221566803,
1.5635728311765713,
-0.27303456014271554,
0.2823681779893861,
-0.3016098009609442,
1.5244076922853529,
-0.07739591827432267,
1.456717966923092,
0.13818020010777404... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -75.5,
"target_ratio": 0.97,
"target_value": -73.235
} | 14 |
2e176b1388169c31718c374b42e0c725 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [0, 63], "expectation_value": -1.0415251448011629, "params": [[-0.0613, -0.068, -0.064, -0.0758], [0.0711, 0.0753, 0.07050000000000001, 0.0743]], "bitstrings": ["1111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.020083074408808358, 0.023202852723015567], "optimization_time": 7.5280909... | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 0.0 * Z(1) + -0.25 ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.3830779787968251) q[0];
ry(-0.14730277028732375) q[1];
ry(0.2538099171114016) q[2];
ry(-0.257984861099843) q[3];
ry(-0.3976519478359509) q[4];
ry(-0.08193555877137179) q[5];
ry(2.987372434386749) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIIZZI",
"IZIZIII",
"ZIIZIII",
"IIIZZII",
"IZZIIII",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
0.25,
-0.25,
-0.75,
0,
-0.25,
0.25,
0.75
] | 0.973055 | [
-0.3830779787968251,
-0.14730277028732375,
0.2538099171114016,
-0.257984861099843,
-0.3976519478359509,
-0.08193555877137179,
2.987372434386749,
-0.2506718433023688,
0.13138656850175684,
0.08791202870362592,
0.05729874253553658,
-0.066058617225672,
-0.008338066771797888,
0.0017510417082033... | {
"n_parameters": 27,
"n_qubits": 7,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 42 |
fa12f3a697c97a90a7d75ad197dde7b9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [49, 22], "expectation_value": -0.3300622165423381, "params": [[-0.0558, -0.0309, -0.0396], [0.07680000000000001, 0.0507, 0.0497]], "bitstrings": ["001110", "101001"], "total_optimization_steps": 10, "probabilities": [0.02042778191636087, 0.020427781916360882], "optimization_time": 3.0224437713623047} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) | 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": ["001110", "101001", "101010", "110010"], "largest_eigenvalue": 6.0} | 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIZIIZ",
"IIIZZI",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIZIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
0,
0,
0
] | 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 |
bbe36c72142a04c8b1698fed3f77c25c | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 3}, {"weight": 7, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 24, "source":... | {"states": [415, 413], "expectation_value": -5.035185063556209, "params": [0.42400000000000004, 0.0184, 0.42310000000000003, 0.0024000000000000002, 0.36560000000000004, 0.0267, 0.3659, 0.0059, 0.20770000000000002, -0.1273, 0.2084, -0.1403, 0.18910000000000002, -0.1547, 0.1832, -0.1661, 0.4138, 0.0234, 0.4189, 0.0056, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | 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] 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... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.981439 | [
-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 |
d78f7556e7639886d17f02ad3944a31a | 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}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [3, 451], "expectation_value": -14.59728194241496, "params": null, "bitstrings": ["111111100", "000111100"], "total_optimization_steps": 84, "probabilities": [0.11261070997788973, 0.5349675351243192], "optimization_time": 103.44000482559204} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -2.5 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(6) + -2.0 * Z(3) + -2.0 * Z(4) + -2.0 * Z(5) +... | 5 | 9 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111100"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.05874846667619159) q[0];
rz(1.9938695320304731) q[0];
rx(0.29855314565580754) q[1];
rz(-2.706525495615969) q[1];
rx(0.8586485872377975) q[2];
rz(2.2057165673183015) q[2];
rx(-0.007408008823412165) q[3];
rz(2.6264064151643502) q[3];
rx(-0.16417141447225342) q[4];
rz... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) 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] = ... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIZIII",
"IIZIZIIII",
"IIIIZZIII",
"IIZZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1.5,
-1.5,
0.5,
-2.5,
-2.5,
1,
-2.5,
1,
1,
-1,
0.5,
0.5,
0.5,
-2,
-2,
-2,
-2,
0.5,
0.5
] | 0.970667 | [
0.05874846667619159,
0.4230732052355772,
0.2985531456558076,
2.005863484768721,
0.8586485872377975,
0.6349202405234045,
-0.0074080088234121655,
1.0556100883694532,
-0.1641714144722534,
0.40538719110291965,
0.40044468149668,
0.7834637422395953,
-0.27756347602056,
0.5299736123246076,
0.367... | {
"n_parameters": 88,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 186 |
629064d27778679294f16fb68c627d78 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.22306686498416212, "params": [[0.0745], [-0.0659]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004854881808903656, 0.0049456410965578405], "optimization_time": 2.3320932388305664} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.06790606828601531) q[0];
ry(-0.19378190667385042) q[1];
ry(0.26525675236889135) q[2];
ry(0.3085519872831255) q[3];
ry(-0.08750380138537002) q[4];
ry(0.1670886418927537) q[5];
ry(-0.12914170348052573) q[6];
ry(2.711521101072561) q[7];
cx q[7], q[0];
cx q[6], q[7];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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[2], q[0];
r... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"IZIIIIZI",
"IZIZIIII",
"IIIZIIZI",
"ZIZIIIII",
"IIZIIIZI",
"IIIIZZII",
"IZIIZIII",
"ZIIIZIII",
"IIIZZIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IIIIZII... | [
-0.25,
-0.25,
-0.25,
-0.5,
0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.25,
1.25,
-0.75,
0,
-0.5,
0.5,
0
] | 0.971644 | [
0.06790606828601531,
-0.19378190667385042,
0.26525675236889135,
0.3085519872831255,
-0.08750380138537002,
0.1670886418927537,
-0.12914170348052573,
2.711521101072561,
0.017142781392932717,
0.04988119033459587,
0.13485690303009606,
0.02740877087440155,
-0.1282859228707568,
-0.02651321364155... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 44 |
119f5bb57fe729fc61765e50d3ad4135 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [881, 865], "expectation_value": -138.62580976972782, "params": [[[0.0024000000000000002, 3.1395], [0.0019, -0.002], [0.0032, 0.0022], [3.1398, 0.0022], [0.0033, 0.0022], [0.003, 0.0025], [-1.6206, -0.0026000000000000003], [-3.1392, 0.0014], [-0.0027, 3.1442], [2.797, 0.3447], [3.1389, 2.7972]]], "bitstrings... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(5) @ Z(1)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(8) @ Z(4)) + 8.0 * (Z(10) @ Z(6)) + 8.0 * (Z(9) @ Z(10)) + 17.0 * Z(2) + 24.0 * Z(1) + 2.0 ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-153.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -128.0, "smallest_bitstrings": ["10010011110"], "largest_eigenvalue": 188.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.2274011954523155) q[0];
ry(0.7636404489091297) q[1];
ry(-0.025586360427524647) q[2];
ry(0.2048456851027259) q[3];
ry(0.5937268288658395) q[4];
ry(0.37216995236809536) q[5];
ry(-0.6513751460182607) q[6];
ry(-0.011222984269961503) q[7];
ry(-0.2162216335096102) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIIZIIIIZII",
"IIZIIIZIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
17,
24,
2,
0.5,
24,
17,
11.5,
-7.5,
-5.5,
8.5,
-7.5
] | 0.972088 | [
0.2274011954523155,
0.7636404489091297,
-0.025586360427524647,
0.2048456851027259,
0.5937268288658395,
0.37216995236809536,
-0.6513751460182607,
-0.011222984269961503,
-0.2162216335096102,
0.3135839373279041,
0.5551151346101016,
-0.31248889492659543,
1.1465854279827394,
2.3654202969728324,... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -153,
"target_ratio": 0.97,
"target_value": -148.41
} | 41 |
-8307689727186446262 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 7], [8, 1], [8, 9], [2, 6], [9, 7], [9, 2], [4, 7], [3, 7], [5, 6], [8, 4], [8, 3], [2, 5], [8, 6], [0, 2], [0, 5], [0, 6], [9, 5]]} | {"states": [150, 873], "expectation_value": -0.14271813805002653, "params": [[0.0727], [-0.059000000000000004]], "bitstrings": ["1101101001", "0010010110"], "total_optimization_steps": 10, "probabilities": [0.0012067789208281068, 0.0012067789208281068], "optimization_time": 2.511723756790161} | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101101001", "0010010110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
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];
cx q[7], q[0];
rz(0.521901479996895) q[0];
cx q[7], q[0];
cx q[0], q[2];
rz(0.521901479996895) q[2];
cx q[0], q[2];
cx q[0], q[6];
rz(0.521901479996895) q[6];
cx q[0], q[6];
cx q[0], q[5];
rz(0.52190147999... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[1], q[8];
rz(x0) q[8];
cx q[1], q[8];
cx q[7], q[9];
rz(x0) q[9];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIIZ",
"IZIIIIIIZI",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIZIZ",
"ZIIIIIIZII",
"IIIZIIIIIZ",
"IZIZIIIIII",
"IIIZIIIZII",
"IIZIIZIIII",
"IZIIIZIIII",
"IIZIIIZIII",
"IZIIIIZIII",
"IIIIZIIIIZ",
"ZIIIZIIIII",
"IIIIZIIZII",
"IIIZZIIIII",
"IIZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.365517 | [
0.521901479996895,
-2.7536465892648863e-8,
-0.6936698162547543
] | {
"n_parameters": 3,
"n_qubits": 10,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 102 |
e9d5997d7b5b0020744b8b549a0cb207 | 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": 4}, {"source": 3, "target": 4}, {"s... | {"states": [8191, 8127], "expectation_value": -17.71590966713366, "params": [[[-0.0024000000000000002, 2.7116000000000002], [-0.0033, -0.0024000000000000002], [-0.0028, -0.0032], [-0.0034000000000000002, -0.0029000000000000002], [-0.0033, -0.0031000000000000003], [-0.0029000000000000002, -0.003], [1.6603, -0.002], [-0.... | -1.0 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -2.0 * (Z(9) @ Z(10)) + -2.0 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(9)) + -2.0 * (Z(12) @ Z(10)) + 0.5 * (Z(12) @ Z(9)) + -1.5 * (Z(12) @ Z(11)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(... | 15 | 13 | 1 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.5, "smallest_bitstrings": ["0000001110000", "0000001000000"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.09975781355570895) q[0];
ry(-0.04788941010575841) q[1];
ry(0.00314644885197719) q[2];
ry(0.08603945641353744) q[3];
ry(-0.04788941010575841) q[4];
ry(-0.052987805950320946) q[5];
ry(2.596553716291074) q[6];
ry(-0.09975781355570895) q[7];
ry(-0.01400277867452512) ... | OPENQASM 3.0;
include "stdgates.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": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIZZIIIIII",
"IIIIZZIIIIIII",
"IIZZIIIIIIIII",
"IZZIIIIIIIIII",
"IZIZIIIIIIIII",
"ZIZIIIIIIIIII",
"ZIIZIIIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIZZII",
"IIIIIIIIZZIII",
"IIIIIIIIZIZII",
"IIIIIIIZIZIII",
"IIIIIIIZIIZII",
"IIIIIIIZZIIII",
"IIIIIIIIIIIZI",
"IIIIIIIIIII... | [
-1,
0.5,
-1.5,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-2,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970528 | [
-0.09975781355570895,
-0.04788941010575841,
0.00314644885197719,
0.08603945641353744,
-0.052987805950320946,
2.596553716291074,
-0.01400277867452512,
0.2652853279132157,
0.002954099065827852,
-0.12702609293307116,
3.0618455420811608,
-0.000464668841459806,
-0.0695365933673945,
0.0456394480... | {
"n_parameters": 17,
"n_qubits": 13,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 20 |
01c509cf41fe904ef36f9c73fa58f4df | 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": 4, "source": 0, "t... | {"states": [206, 110], "expectation_value": -13.041328631476292, "params": [[0.0148, 0.0109, -0.060200000000000004], [-0.025500000000000002, -0.0313, 0.0565]], "bitstrings": ["00110001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.007779294966955127, 0.008466699532226816], "optimization_time": 5.60... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(6)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(6)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 10.0 * Z(1) + 2.0 * Z(0) + 13.0 * Z(2) + 17.5 * Z(5) + 1... | 1 | 8 | 3 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 134.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.6067730635277808) q[0];
ry(0.0068978171400194965) q[0];
rz(-2.165295187823308) q[0];
rz(-0.9320305873596415) q[1];
ry(2.9546423754659843) q[1];
rz(1.5962878589443843) q[1];
rz(1.94887746650212) q[2];
ry(0.10017209095800164) q[2];
rz(-2.4547303306903094) q[2];
rz(-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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIZII",
"IZZIIIII",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIZZIIII",
"IZIZIIII",
"IIIZZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
2,
13,
17.5,
10.5,
10,
16.5,
0.5
] | 0.977898 | [
0.0034511417619457353,
0.07195304533925116,
1.2739833284948667,
-0.123054125877101,
0.005011551244307841,
0.3973837165633978,
1.905775237438528,
0.06934632738707407,
-0.07347402081215618,
0.21084071151892464,
0.02816020830904334,
-0.5182778496141923,
1.303011955708514,
0.0862986415836879,
... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 24 |
d737e961008931e9aeab395f7831d251 | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"sour... | {"states": [9, 137], "expectation_value": -7.428029699124264, "params": [[-0.0122, 0.3982, -0.0238, -0.0112, -0.0055000000000000005, 0.4031, 0.0614, 0.32170000000000004, 0.3941], [-0.0094, 0.40750000000000003, -0.0187, -0.0097, -0.006, 0.399, 0.17750000000000002, 0.2861, 0.3885], [-0.0146, 0.4073, -0.0167, -0.0071, 0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) ... | 10 | 9 | 3 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -8.0, "smallest_bitstrings": ["111110001", "111100101", "101110110", "001111110", "101110011"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.27780470764877085) q[0];
ry(0.5917157190402279) q[1];
ry(0.12776537351814266) q[2];
ry(0.2633251560616958) q[3];
ry(0.16305452758138728) q[4];
ry(0.7021434320623017) q[5];
ry(-0.24721424414218066) q[6];
ry(0.19520530505086714) q[7];
ry(0.9168024032423576) q[8];
cz ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIZII",
"IZIIIIIIZ",
"IIIIIZIZI",
"IZIIIIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIZIZIIII",
"IIIIZIIZI",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"ZIIIZIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-2,
-2.5,
-1,
-2,
-1.5,
-1,
-2,
-2
] | 0.970766 | [
0.27780470764877085,
0.5917157190402279,
0.12776537351814266,
0.2633251560616958,
0.16305452758138728,
0.7021434320623017,
-0.24721424414218066,
0.19520530505086714,
0.9168024032423576,
-0.171461536298194,
0.8938222422026053,
-0.10127613372789201,
0.06752631529715819,
0.17372408453535154,
... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 15 |
4819812130218480791 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 3, 4], [0, 3, 4, 5], [1, 2, 4, 6], [0, 1, 2, 4, 5], [0, 1, 2, 5, 6], [0, 1, 4, 6]]} | {"states": [93, 47], "expectation_value": -0.8086895970256062, "params": [[-0.38530000000000003], [0.3783]], "bitstrings": ["0100010", "1010000"], "total_optimization_steps": 40, "probabilities": [0.016556527649435757, 0.0168023655117601], "optimization_time": 1.678654670715332} | 0.23333333333333334 * (Z(0) @ Z(1)) + 0.23333333333333334 * (Z(2) @ Z(1)) + 0.15000000000000002 * (Z(2) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(2)) + 0.26666666666666666 * (Z(4) @ Z(1)) + 0.26666666666666666 * (Z(4) @ Z(0)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.133333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.35, -1.35], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.3499999999999996, "smallest_bitstrings": ["0101000", "1010000"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.20124279290625455) q[0];
ry(-2.851650782228504) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
h q[4];
ry(1.6426783638724185) q[4];
cx q[4], q[1];
ry(-0.131928809921663) q[1];
cx q[4], q[1];
h q[5];
ry(0.5593423542860414) q[5];
cx q[5], q[0];
ry(0.20124279290625455) ... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZ... | [
0.23333333333333334,
0.23333333333333334,
0.15000000000000002,
0.05,
0.13333333333333333,
0.05,
0.26666666666666666,
0.26666666666666666,
0.18333333333333335,
0.13333333333333333,
0.1,
0.18333333333333335,
0.1,
0.08333333333333333,
0.13333333333333333,
0.21666666666666667,
0.13333333... | 0.976964 | [
1.6426783638724185,
1.1489256455119443,
0.263857619843326,
0.5593423542860414,
-0.4024855858125091,
0.385539173848808,
-0.19615858821799614,
0.43957727707722694,
-0.3898183866854675,
-0.28378706114357555,
0.4763998835189751,
0.014617001833189008,
-0.2506857823631889,
0.48099607094515834,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -1.35,
"target_ratio": 0.97,
"target_value": -1.3095
} | 1 |
cff27a3576fe0b6b8465ef6c1f1fffb6 | 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": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [3550, 3546], "expectation_value": -1.47657688636004, "params": [0.5921000000000001, 0.0592, 0.605, 0.0959, 0.1955, 0.1991, 0.6035, 0.0012000000000000001, 0.6011000000000001, 0.0504, 0.5036, 0.16140000000000002, 0.1845, 0.2316, 0.601, 0.0323, 0.602, 0.12090000000000001, 0.3584, 0.15330000000000002, 0.5143, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 18 | 12 | 4 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.8128659145274656) q[0];
rz(-0.2952438789230576) q[0];
rx(0.6933629268332221) q[1];
rz(0.07940679664175575) q[1];
rx(0.045386415893270894) q[2];
rz(0.09676518196606905) q[2];
rx(0.7523197199925042) q[3];
rz(-0.016029213694412264) q[3];
rx(0.6216135896515637) 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... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIIZZZIII",
"IIIIIZIZZIII",
"IIIIIZZIZIII",
"IIIIIZZZIIII",
"IIIIIZZZZIII",
"IIIIIIIIZIIZ",
"IIIIZIIIIIIZ",
"IIIZIIIII... | [
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,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.... | 0.973967 | [
0.8128659145274656,
-0.1390143916126529,
0.6933629268332221,
0.07940679664175575,
0.045386415893270894,
0.09676518196606905,
0.7523197199925042,
-0.016029213694412264,
0.6216135896515637,
0.0032004667758108937,
0.6002774011236465,
0.28396319501985423,
0.20580371551605803,
0.173707641217086... | {
"n_parameters": 136,
"n_qubits": 12,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 22 |
58dc55ae570b2cca7aaf523f6e52871c | 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": 7}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"source": 2, "ta... | {"states": [94, 92], "expectation_value": -4.180506877238741, "params": [-0.021, 0.1723, -0.0172, 0.1741, 0.3023, 0.061500000000000006, 0.2983, 0.0081, -0.0108, 0.1405, -0.0089, 0.1401, 0.3027, 0.0229, 0.305, 0.0056, 0.2495, 0.0036000000000000003, 0.24880000000000002, 0.0058000000000000005, 0.3025, 0.002400000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(7) + -1.5 * Z(2) + -0.5 * Z(6) + 0.0 * Z(3) + -0.... | 7 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["10100011", "11101000", "10101001"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.08470284445423985) q[0];
rz(0.36536783610944523) q[0];
rx(0.4011660912076293) q[1];
rz(-0.17579819387101764) q[1];
cx q[1], q[0];
rz(-0.011520405305681616) q[0];
cx q[1], q[0];
rz(-1.5920968900012686) q[0];
ry(0.16924696486674745) q[0];
rz(1.8917805932471117) 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",
"IIZIIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIZIIZII",
"ZIIIIZII",
"IZIIIZII",
"IIIIZZII",
"ZIIZIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-1.5,
-1.5,
-0.5,
0,
-0.5
] | 0.97483 | [
0.08470284445423985,
0.3538474308037638,
0.4011660912076293,
-0.17579819387101764,
-0.04340752104839552,
0.384811130012951,
0.3202647167319729,
-0.12632274197175403,
0.14729337693358568,
0.42810921082486814,
0.36328254526412623,
0.21889642623448244,
-0.08548632454112917,
0.0623029273450155... | {
"n_parameters": 143,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 9 |
2f55547bea74149f74a1253622558179 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"sour... | {"states": [31, 255], "expectation_value": -1.5387625396258988, "params": [[0.07060000000000001], [-0.0737]], "bitstrings": ["11100000", "00000000"], "total_optimization_steps": 10, "probabilities": [0.006402610189375741, 0.006526960482653383], "optimization_time": 0.6605987548828125} | -2.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 1.0 * Z(1) + -1.5 * Z(0) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000000"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.0515062126869668) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.7532963022825825) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.021214392633893908) q[1];
rx(-0.9812524089205983) q[1];
rz(-1.0515062126869668) q[2];
cx q[0], q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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];
rz(x1) q[2];
cx q[... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-2,
-1.5,
-2,
-2.5,
0.5,
-2.5,
0.5,
-2.5,
-1.5,
0.5,
-2.5,
0.5,
0.5,
1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.575756 | [
-1.0515062126869668,
-0.7532963022825825,
-0.6919819540942587,
-0.21482254462164876,
-0.02121439263389379,
-0.9812524089205983
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 161 |
5129940d52965c3bcc0f8dd9c73f53f5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [15, 7], "expectation_value": -0.3818258988654658, "params": [[0.07930000000000001], [-0.0863]], "bitstrings": ["0000", "1000"], "total_optimization_steps": 10, "probabilities": [0.07870630428752864, 0.08087739149518663], "optimization_time": 0.6556811332702637} | -1.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + -0.5 * Z(0) | 5 | 4 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["1000"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rx(-0.2762160908520579) q[0];
rz(2.1717347277170145) q[0];
rx(-0.25251778179951073) q[1];
rz(1.127576670184414) q[1];
rx(-0.7776815244476688) q[2];
rz(2.2659608371426394) q[2];
rx(-0.562711315578499) q[3];
rz(0.5375407579258363) q[3];
cx q[3], q[2];
ry(-0.23906606716144... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
rz(x1) q[2];
rz(x1)... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IZZI",
"ZZII",
"ZIZI",
"IZII",
"IIZI",
"ZIII",
"IIIZ"
] | [
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-0.5
] | 0.97312 | [
-0.2762160908520579,
0.6009384009221174,
-0.25251778179951073,
-0.44321965661048196,
-0.7776815244476689,
0.6951645103477428,
-0.562711315578499,
0.5375407579258363,
0.4781321343228988,
-0.3940284111299176,
-0.29084675499965945,
0.16414195530088685,
0.14075541250665047,
0.44040552857846893... | {
"n_parameters": 79,
"n_qubits": 4,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 116 |
79dbb46672568dd6da53fdf988683370 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 2, "source": 0, "t... | {"states": [118, 110], "expectation_value": -4.574054995849229, "params": [[0.031200000000000002], [-0.034800000000000005]], "bitstrings": ["10001001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.005100508375435612, 0.005441322700117565], "optimization_time": 1.7386646270751953} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 10.0 * Z(1) + 5.5 * Z(0) + 14.5 * Z(4) + 15.0 * Z(2) + 7... | 1 | 8 | 1 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 132.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-0.14739604000192053) q[0];
ry(3.019875982413196) q[0];
rz(3.133045858754553) q[0];
rz(0.14681821349369484) q[1];
ry(0.16625292729472163) q[1];
rz(1.4294168654831019) q[1];
rz(1.2186812571693961) q[2];
ry(0.32253940399967884) q[2];
rz(-1.632413822773313) q[2];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIIIZIZ",
"IIIZIZII",
"IIIZZIII",
"IIIIZZII",
"IIZIIIIZ",
"IIZIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
5.5,
14.5,
15,
7,
14.5,
11,
1
] | 0.976253 | [
0.7464408162705116,
-0.033729247253251216,
-0.11552461607907104,
0.5196528554019153,
0.0886254211082439,
-0.17444899387284873,
0.8983531351940277,
0.003628901528802731,
-0.29980800833140264,
0.7491406770668805,
-0.004650044602488298,
0.13723474935698732,
-0.19427224913628832,
0.18990325270... | {
"n_parameters": 54,
"n_qubits": 8,
"optimal_eigenvalue": -42.5,
"target_ratio": 0.97,
"target_value": -41.225
} | 14 |
267f594e5cb21532a1a860c7d4e0717d | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [74, 53], "expectation_value": -0.12425256822374084, "params": [[-0.060000000000000005], [0.0604]], "bitstrings": ["0110101", "1001010"], "total_optimization_steps": 10, "probabilities": [0.00866527617381419, 0.008779675109672107], "optimization_time": 1.198455572128296} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + 0.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100100", "1001010"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.24748745819808826) q[0];
rz(-0.17713756506993983) q[0];
rx(-0.1790047299186118) q[1];
rz(0.10654864048877083) q[1];
cx q[1], q[0];
rz(0.011708463917440626) q[0];
cx q[1], q[0];
rz(1.4748675647452902) q[0];
ry(1.210001108655402) q[0];
rz(-1.8286665049021005) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIZZIII",
"IZIIIZI",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
0,
-1,
0,
-0.5,
-0.5
] | 0.970926 | [
0.2474874581980883,
-0.1654291011524992,
-0.1790047299186118,
0.10654864048877083,
0.6162612157337666,
0.002052278197618773,
-0.04559442540123893,
0.3771343868759495,
0.43625683568421697,
0.17681883646965665,
0.0163352835731005,
-0.04645655951074808,
-0.033049571212274566,
0.22684970955432... | {
"n_parameters": 138,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 9 |
91fd701868951eab612ba86420778b2e | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -3.658740106186767, "params": [[0.07250000000000001], [-0.0634]], "bitstrings": ["011110", "111100"], "total_optimization_steps": 10, "probabilities": [0.021189506001834838, 0.022081318439744622], "optimization_time": 2.1578612327575684} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5 ... | 16 | 6 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | 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[0... | {"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,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
-5.75,
-5.75,
-5.75,
-6.25,
-5.25,
-5.25
] | 0.970876 | [
-0.7131691907790075,
-0.6029729944224574,
-0.9519977999790217,
-0.0705116018152183,
-0.6867474283253041,
-0.7263254383589139,
-0.20641210917715294,
-0.18314979666666276,
1.246074321202835,
-0.16302890953712407,
0.9836842123631419,
-0.8467113254691783,
-0.29282426768644043,
0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
bbe36c72142a04c8b1698fed3f77c25c | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 3}, {"weight": 7, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 24, "source":... | {"states": [171, 427], "expectation_value": -4.085960184140463, "params": [[[1.6191, 0.006200000000000001, 0.0038, 0.003], [0.3602, -0.0035, 1.5151000000000001, 0.0081], [-0.0018000000000000002, 0.0039000000000000003, 0.008400000000000001, 0.0034000000000000002], [0.6907, 0.0025, 1.2218, 0.0014], [0.0021000000000000003... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 12 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | 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] 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": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.981439 | [
-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 |
4ff6cd3ae35a7505dd00eb5f37bcfa52 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}], "edges": [{"weight": 2, "source": 0, "target": 3}, {"weight": 8, "... | {"states": [29, 93], "expectation_value": -34.313936543477794, "params": null, "bitstrings": ["11100010", "10100010"], "total_optimization_steps": 100, "probabilities": [0.1091240078813684, 0.22009271386072485], "optimization_time": 176.34240818023682} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(4)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + -3.0 * Z(0) + 15.0 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.09219022397749128) q[0];
cx q[1], q[0];
rz(-1.2871422316693653) q[0];
rx(0.10379619859919222) q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.09219022397749128) q[4];
cx q[1], q[4];
cx q[1], q[2];
rz(0.09219022397749128) q[2];
cx q[... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"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(7.7632) 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",
"IIIZIIZI",
"IIIIIZZI",
"IIIZIZII",
"IIIIZIZI",
"IIIZZIII",
"IIIIZZII",
"IIZIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
-3,
15,
12,
17,
12.5,
5,
11.5
] | 0.979572 | [
0.09219022397749128,
0.8982429000207126,
-1.2871422316693646,
0.24599877936251585,
-0.9798884543189016,
0.6694199466030656,
0.8683968766675187,
-0.3547308698519625,
0.9369223338993231,
0.10379619859919209,
-0.08770470281201148,
0.5841101200094906,
-0.6227792457430795,
1.1403942607354456,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 37 |
02ad922247dded2921d5944d6e95a575 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, ... | {"states": [52, 50], "expectation_value": -4.343518059462035, "params": [0.06520000000000001, -0.1759, 0.4081, 0.002, 0.4087, 0.0032, 0.1814, 0.065, 0.39480000000000004, 0.0033, 0.40140000000000003, -0.0032, -0.00030000000000000003, -0.1942, 0.0637, -0.12440000000000001, 0.4088, 0.007500000000000001, 0.4043, 0.0016, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -0.5 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + ... | 4 | 7 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001011", "1001101"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.17505626242573932) q[0];
rz(pi/2) q[0];
ry(1.014991777481755) q[1];
ry(0.8288387336672143) q[2];
ry(0.7886063331302766) q[3];
ry(0.5261651795130162) q[4];
ry(-0.3016524862646473) q[5];
ry(-0.01581577408851799) q[6];
ry(0.7124574576379241) q[7];
ry(0.7217566940097... | OPENQASM 3.0;
include "stdgates.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",
"IIZIIIZ",
"IZIIIIZ",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"IIIZZII",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-1,
-1.5,
-1,
-1.5,
-1
] | 0.974248 | [
-0.17505626242573932,
1.014991777481755,
0.8288387336672143,
0.7886063331302766,
0.5261651795130162,
-0.3016524862646473,
-0.01581577408851799,
0.7124574576379241,
0.7217566940097064,
0.8613934710769899,
0.10765670784841039,
0.555987916588307,
0.1868015883373617,
-0.41457897236742214,
-0... | {
"n_parameters": 95,
"n_qubits": 12,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 19 |
3fb3735639c46bff7d77a855f00e5a0c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1... | {"states": [68, 5], "expectation_value": -7.659911186378091, "params": null, "bitstrings": ["0111011", "1111010"], "total_optimization_steps": 26, "probabilities": [0.14623545328473836, 0.8524775409824853], "optimization_time": 22.29438042640686} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.15656815186826128) q[0];
rz(0.15627741730544642) q[0];
rx(0.07155707979271855) q[1];
rz(0.41889354116436905) q[1];
rx(-0.036854522120223276) q[2];
rz(0.3006228164158884) q[2];
rx(-0.08168454662241761) q[3];
rz(1.026473851281004) q[3];
rx(0.8163706473005876) q[4];
r... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5706) 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",
"IZIIZII",
"IZIIIIZ",
"IIIIZZI",
"IZIIIZI",
"IIIZZII",
"IZIZIII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.25,
1.25,
-0.5,
0.5,
-0.25,
-1.25,
-0.5,
0,
1,
0.5
] | 0.973909 | [
0.15656815186826128,
0.5442420018401137,
0.07155707979271855,
0.902550613450768,
-0.036854522120223276,
0.7986190445176811,
-0.08168454662241761,
0.9231305560999041,
0.8163706473005876,
0.16616318461372137,
0.13465721119367224,
0.8447385901987526,
1.1276480729653369,
-0.17486223285907548,
... | {
"n_parameters": 56,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 4 |
c0497b20d0e680cacc77174a13e8b8b4 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [35, 98], "expectation_value": -3.489091634651248, "params": null, "bitstrings": ["1011100", "0011101"], "total_optimization_steps": 30, "probabilities": [0.06071916604708699, 0.8639381839606569], "optimization_time": 20.220054149627686} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(6) + 0.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["1011100", "0011101", "0111001", "1001110", "0001111", "0101011"], "largest_eigenvalue": 8.5} | 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(-0.0034026311700899) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-0.0034026311700899) q[0];
cx q[6], q[0];
rz(0.08707718680774468) q[0];
rx(1.6068609355902328) q[0];
cx q[6], q[4];
rz(-0.00340263117008... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"ZIIIIIZ",
"IIIZIZI",
"ZIZIIII",
"IIZZIII",
"IIZIIZI",
"IIIZZII",
"IZIZIII",
"IZIIZII",
"ZIIIIII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
-0.5,
-1,
-0.5,
-0.5
] | 0.970369 | [
-0.0034026311700899,
-0.26301475790782497,
0.08707718680774458,
1.5595170852256997,
1.5988629064548665,
1.6068609355902328,
-1.5706328661308941,
1.6822012540344695,
-0.1845861633258411,
1.1352603352915303,
0.43534770012848195,
-0.05375233225482663,
-0.1953687365154703,
3.189745870967778,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 166 |
6ca7d17fd5da99c16b5e08c2388f4219 | 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": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 2, "s... | {"states": [191, 159], "expectation_value": -9.998244594170757, "params": null, "bitstrings": ["101000000", "101100000"], "total_optimization_steps": 63, "probabilities": [0.49913300371250197, 0.49913300371250197], "optimization_time": 102.7229323387146} | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @... | 1 | 9 | 3 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.0, "smallest_bitstrings": ["100000000", "111111110", "101000000", "101100000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.005199878430952781) q[0];
rz(0.49753994051744854) q[0];
rx(0.009444908772521665) q[1];
rz(0.056812599041951906) q[1];
rx(0.0102766991684648) q[2];
rz(-0.676310269412558) q[2];
rx(0.0016931880366726111) q[3];
rz(0.9424830252791354) q[3];
rx(0.0016931880366726115) q... | 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[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] = ... | [
"IIIZIIIIZ",
"IIIZIIZII",
"IIIIIIZZI",
"IIZZIIIII",
"IIZIIIZII",
"IIZIIIIZI",
"IIIIIZZII",
"IIIZZIIII",
"IIIIZIIZI",
"IZIZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIZIIIIII",
"... | [
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-1,
-0.5,
-0.5,
-1,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
0.5,
-0.25,
-0.25,
-0.25,
-2.75,
0,
1.25,
0,
1,
0.75,
0.25
] | 0.970696 | [
-0.005199878430952782,
0.37496190897554177,
0.009444908772521663,
-0.23217063461303789,
0.0102766991684648,
-0.4946957216394926,
0.0016931880366726111,
0.7310045504369199,
-0.3930316605389239,
-0.05982864059873119,
0.5973458095286764,
-0.2609853964398807,
-0.022565700292863936,
0.740756047... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 6 |
8f21ecaec272429f1bdc72f298b44a30 | min_cut | 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": 5, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "so... | {"states": [30, 15], "expectation_value": -1.4881244933132152, "params": [[0.3937, 0.4048, 0.40390000000000004, 0.4061, 0.36010000000000003], [0.3859, 0.3816, 0.1685, 0.4062, 0.39480000000000004], [-0.2657, 0.40440000000000004, -0.3402, 0.4071, -0.16110000000000002], [0.391, 0.40340000000000004, -0.112, 0.404, 0.390300... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + 1.75 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.0 * Z(4) + -0.25 * Z(2) | 9 | 5 | 4 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08724389564847751) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.011836385549881461) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-1.047686382723164) q[1];
rx(1.1987979393789188) q[1];
rz(-0.44952800909731894) q[3];
cx q[0], 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": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.25,
-1.5,
-1.25,
1.75,
-1.75,
-2.75,
1.25,
-0.25,
-0.75,
0,
-0.25
] | 0.891714 | [
-0.08724389564847751,
0.011836385549881461,
-0.44952800909731894,
-0.29147368059620293,
0.7280283660373118,
0.7662136357667987,
-1.047686382723164,
-0.36229933156876115,
-0.0461740530584128,
1.1987979393789185,
0.02516654379014708,
-0.005014422258785183,
-0.30548343106272147,
-1.1670616733... | {
"n_parameters": 19,
"n_qubits": 5,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 500 |
406f205c8f68e15d44cfdbce281f4c7d | 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": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [37, 49], "expectation_value": -2.9965156243239575, "params": null, "bitstrings": ["011010", "001110"], "total_optimization_steps": 20, "probabilities": [0.06700894031405273, 0.9297461660320854], "optimization_time": 14.399666547775269} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(3) + 0.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "011010", "000111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.00817263797266711) q[0];
rz(0.5966647633891988) q[0];
rx(-0.00817263797266711) q[1];
rz(0.13566274477300744) q[1];
rx(3.0563566369992974) q[2];
rz(1.526362272167271) q[2];
rx(2.7143491625185714) q[3];
rz(0.6625473815348293) q[3];
rx(-0.235591289998422) q[4];
rz(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IZIIIZ",
"IIZIZI",
"IZIZII",
"IIZZII",
"ZZIIII",
"ZIIZII",
"IZIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
0,
-1,
-0.5
] | 0.974338 | [
-0.00817263797266711,
0.5966647633891988,
0.13566274477300744,
3.0563566369992974,
1.526362272167271,
2.7143491625185714,
0.6625473815348293,
-0.235591289998422,
0.5263775625222091,
3.0339991639572848,
0.17723105258234045
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
e0edcc7e4b9cd28819534dd702b817ee | 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": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": ... | {"states": [0, 1280], "expectation_value": -9.407597206207614, "params": [-0.0045000000000000005, 0.21610000000000001, -0.0056, 0.1904, -0.3607, 0.004200000000000001, -0.3688, -0.0034000000000000002, 0.0036000000000000003, 0.31220000000000003, 0.0001, 0.3121, 0.40700000000000003, 0.0027, 0.40640000000000004, 0.00240000... | -0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(9) @ Z(0)) + 1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.25 * (Z(1) @ Z(8)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(10) @ Z(7)) + -0.5 * (Z(10) @ Z(9)) + -0.25 * (Z(10) @ ... | 6 | 12 | 2 | {"smallest_eigenvalues": [-10.25, -10.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.25, "smallest_bitstrings": ["111011111111", "101011111111"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.07538040524214791) q[0];
rz(1.762557406789199) q[0];
rx(-0.16098863543987643) q[1];
rz(1.457809090165945) q[1];
rx(-0.10774662729074762) q[2];
rz(2.0032508455121842) q[2];
rx(0.7678896987922518) q[3];
rz(1.5494523531104836) q[3];
rx(-0.03823197403259286) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] 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 floa... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIZ",
"IIZIIIIIIIIZ",
"IIIIIIIIZIIZ",
"IIIZZIIIIIII",
"IIIZIIIIIIZI",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIIZIIII",
"IIZIIIZIIIII",
"IIIZIIZIIIII",
"IIIIIIZZIIII",
"IZIIZIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"IZIIIIZIIIII",
"IIZIIZIIIIII",
"IIIZIZIIIIII",
"ZIIIZIIII... | [
-0.25,
-0.5,
1,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
1.5,
-0.25,
-0.25,
0.5,
0,
0.25,
0,
-0.75,
-1.75,
0.25,
0.25,
0.25
] | 0.971008 | [
-0.0753804052421479,
0.19176107999430225,
-0.16098863543987643,
-0.11298723662895088,
-0.10774662729074763,
0.43245451871728746,
0.7678896987922518,
-0.021343973684413174,
-0.038231974032592854,
0.25447105665822706,
0.03144659233854256,
0.22427098214372534,
-0.00470904363862034,
0.25293307... | {
"n_parameters": 101,
"n_qubits": 12,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 10 |
50b1c25b4f3602b10eee86e1dbea9d5c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [111, 110], "expectation_value": -1.675980689719268, "params": [0.0007, 0.4088, 0.0032, 0.45380000000000004, 0.6048, 0.0506, 0.604, 0.09920000000000001, 0.5016, 0.09920000000000001, 0.6014, 0.0049, 0.6005, -0.0004, 0.607, 0.0043, 0.4937, 0.0097, 0.0046, 0.4494, 0.0018000000000000002, 0.4576, 0.60230000000000... | 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(2) @ Z(0) @ Z(5)) + -0.125 * (Z(2) @ Z(0) @ Z(6)) + -0.125 * (Z(... | 18 | 9 | 3 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.625, "smallest_bitstrings": ["110100001", "110010001", "110010010", "111000001", "110011000"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.8499915884053235) q[0];
rz(-0.14349891772228895) q[0];
rx(1.203877261600702) q[1];
rz(0.2150393365018637) q[1];
rx(1.040609558335803) q[2];
rz(-0.08177450222485838) q[2];
rx(0.01954086942686225) q[3];
rz(0.23127635564330884) q[3];
rx(0.1434676212007759) 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": []} | [
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIIZZZII",
"IIIIIIZIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZIIZII",
"IIZIIIZII",
"IIZZIIIII",
"IIIZIIZIZ",
"IIZIIIZIZ",
"IIZZIIIIZ",
"IIZZIIZII",
"IIZZIIZIZ",
"IIIIIZIZI",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIIZIZI",
"IZIZIIIII",
"ZIIZIIIII",
"... | [
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,
0.25,
0.25,
0.25,
-0.25,
-0.625,
-0.75,
0.125,
0,
0,
0.125,
0.125,
0,
0
] | 0.97165 | [
0.8499915884053235,
-0.16699737334558484,
1.2038772616007019,
0.21966274366901276,
1.0406095583358033,
-0.045300346746162776,
0.01954086942686225,
0.36689790091452473,
0.1434676212007759,
0.1777136368610626,
0.8738761575694459,
0.17950440151432287,
-0.01685254030077451,
0.4415997003909127,... | {
"n_parameters": 59,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 14 |
e314f97a67cf53680761d0291b0562fe | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 6}, {"weight": 2, "source": 2, "targ... | {"states": [238, 214], "expectation_value": -5.791326852616066, "params": [[-0.0241], [0.0354]], "bitstrings": ["100010001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.0025543099814198302, 0.0027553805620402798], "optimization_time": 2.1179563999176025} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-92.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 169.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.7848721589206132) q[0];
rz(0.04194138563454514) q[0];
ry(0.39865747344183) q[1];
rz(-0.0612521465577483) q[1];
cx q[1], q[0];
ry(-0.006687974365908147) q[0];
rz(-0.03836999471803828) q[0];
ry(1.0096850989931674) q[1];
rz(-0.14705391414274013) q[1];
ry(0.07953377028... | 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
0.5,
17.5,
1,
15,
9.5,
21.5,
17,
5
] | 0.973892 | [
0.7848721589206132,
0.04194138563454514,
0.39865747344183,
-0.0612521465577483,
0.0795337702823364,
0.22254094005839722,
0.1050209968436272,
-0.11038104505875938,
-0.6164426647618211,
-0.038148614308604493,
-0.06769940739439982,
-0.5194767305362138,
-0.6533792819673797,
0.13250594591317685... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 28 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | kclique | adaptive_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": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -14.923580020987941, "params": null, "bitstrings": ["011110", "111100"], "total_optimization_steps": 51, "probabilities": [0.13608908662623545, 0.5552705121777858], "optimization_time": 50.330024003982544} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5... | 13 | 6 | 4 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) q[4... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-0.069) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
-6,
-6,
-6,
-5.75,
-5.5,
-5.25
] | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
aa7d7207794ebe4415ef692308a5e5fc | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 1021], "expectation_value": -26.214269681146856, "params": [[[-0.6228, 0.1032], [-0.35600000000000004, 1.5113], [-0.0031000000000000003, 0.1095], [-0.0032, -0.0028], [-0.0025, -0.003], [-0.0029000000000000002, -0.0027], [-0.003, -0.0029000000000000002], [-0.0028, -0.0029000000000000002], [-0.0027, -0.002... | -0.75 * (Z(0) @ Z(8)) + -1.0 * (Z(9) @ Z(0)) + -0.5 * (Z(10) @ Z(0)) + -1.5 * (Z(2) @ Z(8)) + 2.5 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(10)) + -1.5 * (Z(1) @ Z(8)) + -1.0 * (Z(1) @ Z(10)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z... | 15 | 11 | 2 | {"smallest_eigenvalues": [-28.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["10000000010"], "largest_eigenvalue": 26.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.5627477816923672) q[0];
ry(-0.6032916968026625) q[1];
ry(0.004243511993262589) q[2];
ry(-0.02615736718515206) q[3];
ry(-0.014595675420798706) q[4];
ry(0.06772359271653239) q[5];
ry(0.0327989780980917) q[6];
ry(-0.04104251659255069) q[7];
ry(-0.05891242879637312) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIZ",
"IZIIIIIIIIZ",
"ZIIIIIIIIIZ",
"IIZIIIIIZII",
"IIIIIIIIZIZ",
"ZIIIIIIIZII",
"IIZIIIIIIZI",
"ZIIIIIIIIZI",
"IIIIIIIIZZI",
"IIZIIIIZIII",
"IIIIIIIZIZI",
"IZIIIIZIIII",
"IIIIIIZIZII",
"IIIIIIZIIZI",
"IIZIIZIIIII",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIZIZIIII... | [
-0.75,
-1,
-0.5,
-1.5,
2.5,
-0.25,
-1.5,
-1,
-0.5,
-1,
-0.75,
-1,
-0.5,
-1.5,
-1.25,
-1,
-1,
-1.5,
-2,
-0.25,
-0.75,
-1.5,
-1,
-1.5,
-1.25,
-0.75,
-0.75,
-0.5,
0.5,
-0.25,
-2.75,
1.5,
-1.5,
3.25,
-0.75,
3.25,
-1.5,
-0.5,
-1.25
] | 0.973182 | [
-0.5627477816923672,
-0.6032916968026625,
0.004243511993262589,
-0.02615736718515206,
-0.014595675420798706,
0.06772359271653239,
0.0327989780980917,
-0.04104251659255069,
-0.05891242879637312,
0.20114534225588804,
-0.07107568270280551,
2.5119309858335215,
0.14439532816359668,
0.0419014674... | {
"n_parameters": 27,
"n_qubits": 11,
"optimal_eigenvalue": -28.25,
"target_ratio": 0.97,
"target_value": -27.4025
} | 32 |
0f435eed505f807fb8dc44643dfd43ce | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target"... | {"states": [4, 1], "expectation_value": -6.03505340720014, "params": [[0.0424, 0.0309, 0.0273], [-0.037000000000000005, -0.0366, -0.0345]], "bitstrings": ["11011", "11110"], "total_optimization_steps": 10, "probabilities": [0.04924459025090679, 0.05238421692061117], "optimization_time": 3.0095362663269043} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.25 * Z(1) + -8.5 * Z(0) + -8.25 * Z(2) + -8.25 * Z(3) + -7.75 * Z(4) | 10 | 5 | 3 | {"smallest_eigenvalues": [-21.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.75, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 64.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
-8.25,
-8.5,
-8.25,
-8.25,
-7.75
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
-1298795054562362878 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 6], [2, 5], [2, 3], [2, 6], [1, 3], [8, 3], [0, 7], [4, 7], [8, 7], [5, 6], [0, 4], [3, 7]]} | {"states": [213, 298], "expectation_value": -0.11127246846218025, "params": [[-0.0653], [0.0726]], "bitstrings": ["100101010", "011010101"], "total_optimization_steps": 10, "probabilities": [0.0021811937713396195, 0.0021811937713396195], "optimization_time": 1.7532086372375488} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 26, "first_excited_energy": -2.0, "smallest_bitstrings": ["111001011", "111001010", "111001001", "11100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.4715910982243252) q[0];
h q[1];
ry(-0.7207994209241905) q[1];
h q[2];
h q[3];
h q[4];
ry(-0.2984838648489591) q[4];
h q[5];
h q[6];
ry(-0.2294981561398657) q[6];
cx q[5], q[6];
ry(0.2294981561398657) q[6];
cx q[5], q[6];
ry(-0.16929458421765545) q[6];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q[5];... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IIZIIIZII",
"IIZZIIIII",
"IIIZIIZII",
"IIIIIZZII",
"IIIIIZIZI",
"ZIIIIZIII",
"IZIIIIIIZ",
"IZIIIZIII",
"ZZIIIIIII",
"IIIIZIIIZ",
"IZIIZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIZIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.974758 | [
-0.4589963122797314,
1.4715910982243252,
-0.3385891684353109,
1.5158650508796265,
-1.441598841848381,
-1.5915015797298298,
-0.6994296227595852,
0.1906969465849507,
0.21714012700300173,
-0.5183361641480924,
0.07944888112834246,
-0.5969677296979182,
0.023970704911453047,
-0.3478842045258552,... | {
"n_parameters": 58,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
8c44c442a25e00dfae4e1647b2faf79f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [5, 6], "expectation_value": -2.4741067800343983, "params": null, "bitstrings": ["11010", "11001"], "total_optimization_steps": 15, "probabilities": [0.07397901535883082, 0.900574512415704], "optimization_time": 8.148812532424927} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "11001", "10110", "01101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIIZ",
"IZIZI",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5,
-0.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
8250857637124113283 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 11, 12], [0, 1, 7], [1, 2, 3, 4, 5, 6, 7, 11], [2, 3, 5, 6, 7, 8, 10, 11, 12], [0, 8, 11, 4], [0, 2, 3, 5, 7, 8, 11, 12], [9, 10, 12, 5], [0, 2, 4, 5, 11, 12], [9, 2], [8, 0, 10, 11], [0, 5, 6, 9, 10, 11], [0, 4, 6, 9, 10, 12], [0, 3, 4, 5, 6, ... | {"states": [4859, 4347], "expectation_value": -3.392661332115658, "params": [1.57, -0.0029000000000000002, 1.5675000000000001, 0.0054, 0.0024000000000000002, -1.205, 0.0024000000000000002, -0.9361, -0.0027, -1.5070000000000001, -0.0028, 0.007, 0.36460000000000004, 0.8792000000000001, 1.1446, -0.7642, -0.0023, -0.5433, ... | 0.25 * (Z(0) @ Z(1)) + 0.15833333333333333 * (Z(11) @ Z(1)) + 0.3345238095238095 * (Z(11) @ Z(0)) + 0.10714285714285714 * (Z(12) @ Z(1)) + 0.16785714285714284 * (Z(12) @ Z(0)) + 0.1722222222222222 * (Z(12) @ Z(11)) + 0.24166666666666664 * (Z(7) @ Z(1)) + 0.1845238095238095 * (Z(7) @ Z(0)) + 0.10674603174603173 * (Z(7) ... | 8 | 13 | 1 | {"smallest_eigenvalues": [-3.397619047619048], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3880952380952385, "smallest_bitstrings": ["0111100000100"], "largest_eigenvalue": 14.499999999999991} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(1.6056576008349026) q[0];
rz(1.5775878568108386) q[0];
rx(-0.0405110841147588) q[1];
rz(-1.2681751781556032) q[1];
cx q[1], q[0];
ry(0.5087450262654218) q[0];
cx q[1], q[0];
ry(1.1658245189308354) q[0];
rz(-1.545809759021695) q[0];
rx(-0.0405110841147588) q[1];
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": []} | [
"IIIIIIIIIIIZZ",
"IZIIIIIIIIIZI",
"IZIIIIIIIIIIZ",
"ZIIIIIIIIIIZI",
"ZIIIIIIIIIIIZ",
"ZZIIIIIIIIIII",
"IIIIIZIIIIIZI",
"IIIIIZIIIIIIZ",
"IZIIIZIIIIIII",
"ZIIIIZIIIIIII",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IZIIIIIIIIZII",
"ZIIIIIIIIIZII",
"IIIIIZIIIIZII",
"IIIIIIIIIZIZI",
"IIIIIIIIIZI... | [
0.25,
0.15833333333333333,
0.3345238095238095,
0.10714285714285714,
0.16785714285714284,
0.1722222222222222,
0.24166666666666664,
0.1845238095238095,
0.10674603174603173,
0.05555555555555555,
0.017857142857142856,
0.05119047619047619,
0.08293650793650793,
0.06507936507936507,
0.049603174... | 0.989267 | [
1.6056576008349026,
0.006791530015942385,
-0.0405110841147588,
-1.2681751781556032,
0.024192365281136198,
-1.5402836635114352,
0.5739521997383819,
0.8034448547442288,
0.07459190269773106,
-0.6677922087312889,
1.7591899461392289,
-0.1029748843447527,
1.516868374351937,
-0.0491498929939052,
... | {
"n_parameters": 58,
"n_qubits": 13,
"optimal_eigenvalue": -3.397619047619048,
"target_ratio": 0.97,
"target_value": -3.2956904761904764
} | 1 |
f6494d29a2885917ea72724ca31dc87e | 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": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [255, 1], "expectation_value": -1.1376200762100082, "params": [[0.0613], [-0.0635]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0030746427528855827, 0.003097868790865303], "optimization_time": 5.382146835327148} | -0.75 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + 1.5 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(6)) + -1.0 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(8)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.10189812843066029) q[0];
rz(-0.15089983411608365) q[0];
rx(0.012949681207840832) q[1];
rz(-0.3863298561993709) q[1];
rx(-0.2249217523066944) q[2];
rz(-0.07319496732861097) q[2];
rx(0.06993357002108799) q[3];
rz(-0.2465905830606978) q[3];
rx(0.08546781518194248) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IZZIIIIII",
"IZIIIIIIZ",
"ZIZIIIIII",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZZIIIII",
"IZIZIIIII",
"IIIZIIIZI",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIIZZI",
"IIIZIIZII",
"IIZIIZIII",
"IZIIIZIII",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIZIIII",
"IIIIZIIZI",
"IIIIZZIII",
"... | [
-0.75,
-1.25,
-0.5,
-0.25,
1.5,
-0.75,
-1,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1.25,
-1,
-1.25,
-2,
-1.25,
-0.75,
-0.25,
-1,
-2,
0,
-0.25,
1.5,
0.75,
-5,
1,
1.5,
-0.75,
1.25
] | 0.979947 | [
-0.10189812843066029,
-0.20692645873723892,
0.012949681207840832,
-0.3047185877811311,
-0.22492175230669437,
-0.05003070120281442,
0.06993357002108799,
-0.26060474940613737,
0.08546781518194248,
-0.4558542881777824,
0.3664614763165901,
-0.49251998763677596,
-0.20127128571451497,
-0.1535688... | {
"n_parameters": 116,
"n_qubits": 9,
"optimal_eigenvalue": -19.25,
"target_ratio": 0.97,
"target_value": -18.6725
} | 7 |
-6472632957279393663 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2], [0, 2], [2, 7], [0, 4], [1, 4], [3, 5], [0, 1], [2, 4], [3, 6], [8, 6], [4, 7], [1, 7], [8, 1], [0, 5], [5, 6], [4, 6], [3, 7], [0, 7]]} | {"states": [27, 484], "expectation_value": -0.21713923947298636, "params": [[-0.08360000000000001], [0.0748]], "bitstrings": ["111100100", "000011011"], "total_optimization_steps": 10, "probabilities": [0.002473535900500849, 0.002473535900500849], "optimization_time": 2.3681983947753906} | 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["111100100", "100110001", "000011011", "011001110"], "largest_eigenvalue": 9.0} | 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];
cx q[2], q[8];
rz(-0.48914219424010935) q[8];
cx q[2], q[8];
cx q[2], q[0];
rz(-0.48914219424010935) q[0];
cx q[2], q[0];
cx q[2], q[7];
rz(-0.48914219424010935) q[7];
cx q[2], q[7];
cx q[0], q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[8];
rz(x0) q[8];
cx q[2], q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[7];
rz(x0) q[7];
cx q[2], q[7];... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZII",
"IIIIIIZIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IZIIZIIII",
"ZIIIIIIZI",
"IIIIIIIZZ",
"IZIIIIIZI",
"IIIIZIIZI",
"IZIIIZIII",
"IIIZIIIIZ",
"IIIZIZIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIZIIZIII",
"IIZZIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIIIIIZ",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.447199 | [
-0.48914219424010935,
-3.648194462744212e-8,
0.663000653184107
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 104 |
8825faac04a1dea74e1f50fbc9cc77c3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [230, 166], "expectation_value": -2.131160874054549, "params": [0.7037, 0.2838, 0.6473, 0.2977, 0.6963, 0.4189, 0.0645, 0.4007, 0.2258, 0.41800000000000004, 0.7039000000000001, 0.020300000000000002, 0.7005, -0.0002, -0.0019, 0.455, 0.6946, 0.2994, 0.5675, 0.3184, 0.7022, 0.43060000000000004, 0.0584, 0.4045, ... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (... | 18 | 8 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["10011001", "10101001", "01010101", "00111001", "01011001"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.15291605558017266) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.15291605558017266) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.15291605558017266) q[2];
cx q[0], q[2];
rz(-1.0431096114034215) q[0];
rx(-0.20100793962471603) 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] 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",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIZZIIII",
"IIIZIIZI",
"IZIIIIZI",
"IZIZIIII",
"IZIZIIZI",
"IIIIZZII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"ZZZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.25,
0,
-0.25,
-0.5,
-0.25,
-0.25,
0,
-0.75
] | 0.970819 | [
-0.15291605558017266,
1.5305142180454085,
-1.0431096114034206,
1.9279818478897792,
-0.9131555900472494,
1.2565631961675092,
0.036028566457382144,
1.105705289047865,
0.8217863488603611,
-0.20100793962471591,
0.21791004023137842,
0.12036532556028569,
-0.8985480040462571,
-0.3024677114818559,... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 44 |
89c7521d0f4383e77e73ec35feb14209 | 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": 8, "source": 0, "t... | {"states": [205, 109], "expectation_value": -9.940486172085127, "params": [[0.056900000000000006], [-0.0882]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.009217022534930732, 0.009759509268462845], "optimization_time": 1.631201982498169} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 8.5 * Z(0) + 11.0 * Z(2) + 13.0 * Z(1) + 2.0 * Z(3) + 7.5 * Z(4) + 12.5 * Z(5)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 123.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(1.525456717572838e-08) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(1.525456717572838e-08) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(1.525456717572838e-08) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(1.525456717572838e-08) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[2];
r... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
8.5,
11,
13,
2,
7.5,
12.5,
7.5,
11.5
] | 0.866667 | [
1.525456717572838e-8,
-1.5707962774125008,
1.5707963024967688,
1.570796304761946,
-1.5707963129315194,
1.5707963204272015,
1.570796296373383,
-1.5707963391592898,
-1.5707963344480793
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -60,
"target_ratio": 0.97,
"target_value": -58.199999999999996
} | 248 |
26ae20390ea3947855f3112b6a50021e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 8}, {"source": ... | {"states": [1023, 511], "expectation_value": -54.01702708343146, "params": [[[-1.6081, 0.002], [0.0025, 0.005], [0.0025, 0.0048000000000000004], [0.0025, 0.0044], [0.0025, 0.009600000000000001], [0.0024000000000000002, 0.0079], [0.0024000000000000002, 0.0037], [0.0026000000000000003, 0.0027], [0.0022, 0.0085], [3.1619,... | -3.5 * (Z(1) @ Z(3)) + 1.5 * (Z(5) @ Z(3)) + -4.0 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(5)) + -4.0 * (Z(8) @ Z(3)) + -4.5 * (Z(8) @ Z(1)) + -4.5 * (Z(8) @ Z(5)) + 1.5 * (Z(8) @ Z(7)) + -2.5 * (Z(9) @ Z(3)) + -3.0 * (Z(9) @ Z(1)) + 1.0 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + -4.... | 2 | 10 | 1 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 37.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-1.6825543930345954) q[0];
rz(-0.10865320758004281) q[0];
rx(-0.03739666069136033) q[1];
rz(0.20198128088088121) q[1];
rx(-0.03739666069136033) q[2];
rz(-0.07514010171297492) q[2];
rx(-0.03739666069136033) q[3];
rz(-0.051613901215785365) q[3];
rx(-0.0373966606913603... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZI",
"IIIIZIZIII",
"IIIIZIIIZI",
"IIZIIIZIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IZIIIIZIII",
"IZIIIIIIZI",
"IZIIZIIIII",
"IZZIIIIIII",
"ZIIIIIZIII",
"ZIIIIIIIZI",
"ZIIIZIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIZZII",
"IIIIIIIZZI",
"IIIIZIIZII",
"IZIIIIIZII",
"ZIIIIIIZII"... | [
-3.5,
1.5,
-4,
0.5,
-3.5,
-3,
-4,
-4.5,
-4.5,
1.5,
-2.5,
-3,
1,
0.5,
-4,
1,
0.5,
1,
-4,
0.5,
-3.5,
1.5,
-4,
0.5,
-4,
1,
-2.5,
0.5,
1.5,
-3,
-2.5,
-4.5,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.987395 | [
-1.6825543930345954,
-0.10865320758004281,
-0.03739666069136033,
0.20198128088088121,
-0.07514010171297492,
-0.051613901215785365,
-0.0025600337424048145,
0.0077511169135968325,
0.07133424152897463,
-0.16429179201040842,
0.05271308792701577,
0.039685436630387386,
-0.15948992371824058,
-0.0... | {
"n_parameters": 16,
"n_qubits": 10,
"optimal_eigenvalue": -54.5,
"target_ratio": 0.97,
"target_value": -52.865
} | 1 |
8478079238054624200 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 6], [8, 7], [8, 5], [4, 5], [0, 4], [2, 6], [5, 6], [8, 6], [1, 5], [0, 1], [0, 5], [2, 5], [0, 6], [1, 7], [3, 7], [8, 2], [6, 7], [8, 1], [0, 3]]} | {"states": [275, 267], "expectation_value": -3.890892830992156, "params": null, "bitstrings": ["011101100", "011110100"], "total_optimization_steps": 83, "probabilities": [0.0756710877636159, 0.6902404332766795], "optimization_time": 179.7007942199707} | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["101001010", "011110100", "100001011", "010110101"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.05914141849523635) q[0];
rz(1.6853226972487825) q[0];
rx(1.693956932384595) q[1];
rz(1.6730014777928535) q[1];
rx(0.11375287015735655) q[2];
rz(1.5254152388922435) q[2];
rx(1.6429511212411778) q[3];
rz(1.5307564865851297) q[3];
rx(1.6236727947193133) q[4];
rz(1.681... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[5], 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];\n... | [
"IIZIIIIZI",
"ZIZIIIIII",
"ZIIIIIIZI",
"IZZIIIIII",
"IZIIIIIZI",
"ZZIIIIIII",
"IIZZIIIII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIIIIIIZZ",
"IIIZIIIIZ",
"IIIIZIIIZ",
"IIZIIIZII",
"ZIIIIIZII",
"IIIZIIZII",
"IZIIIZIII",
"IIIIIZIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970939 | [
0.05914141849523635,
0.11452637045388601,
1.693956932384595,
0.10220515099795703,
0.11375287015735656,
-0.04538108790265299,
1.6429511212411776,
-0.04003984020976693,
1.6236727947193133,
0.11104180730629548,
0.0808746656713405,
0.3934674025648919,
1.5872287499959328,
-0.04927504611646044,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 59 |
2fde01ebb7d3cd1daf98d95b5f19909d | 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": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [35, 99], "expectation_value": -3.2494934199922243, "params": [[[0.9053, 0.00030000000000000003], [0.5271, -0.002], [1.0726, 0.0049], [0.0451, 0.0053], [-0.33690000000000003, 0.0076], [0.0454, -0.0158], [0.5394, 1.0859], [0.6645, 0.7821]], [[0.7100000000000001, 0.0351], [0.5158, 0.0771], [1.0756000000000001,... | 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(1... | 15 | 8 | 3 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["10001101", "10011100"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.07427298662465327) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.07427298662465327) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.07427298662465327) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.07427298662465327) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIZIIIZI",
"IIZIIZII",
"IZIIIZII",
"IZZIIIII",
"IZZIIZII",
"ZIIIZIII",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"ZZIZIIII",
"IIIIIIIZ",
"IIIIIIZ... | [
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,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.625,
-0.125,
0.125,
-0.125,
-0.75,
-0.25,
0,
-0.25
] | 0.970934 | [
0.07427298662465327,
-1.4746527526723987,
0.5195060594398412,
-0.9525594040303011,
-1.4597959388112045,
0.3211671694017895,
-1.6745883128150552,
-0.9711864288713873,
0.6027278372357929,
0.2385736843446129,
-0.03375219622682421,
-0.3875539840557747,
0.9499103781916123,
-0.5066415936816603,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -70.5,
"target_ratio": 0.97,
"target_value": -68.385
} | 45 |
8c44c442a25e00dfae4e1647b2faf79f | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [26, 14], "expectation_value": -1.9855888858598751, "params": null, "bitstrings": ["100101", "110001"], "total_optimization_steps": 27, "probabilities": [0.10406139442534974, 0.8717759131270884], "optimization_time": 25.1688072681427} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0, "smallest_bitstrings": ["010011", "100101", "001101", "010101", "001110", "011010", "110001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.4449) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IZZIIZ",
"IIZIZI",
"ZZIIII",
"ZIIZII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
74fac64ced95adb2031c8f632fdb5d7f | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [35, 195], "expectation_value": -3.338365066950206, "params": [0.4995, 0.0031000000000000003, 0.507, -0.0019, 0.5073, -0.0027, 0.0936, 0.2025, 0.0784, -0.2083, 0.12490000000000001, -0.19360000000000002, 0.5033, 0.0054, 0.5115000000000001, -0.0007, 0.5027, -0.0026000000000000003, 0.5023, 0.0011, 0.507, -0.004... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(3) + 0.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(1) + -1.0 * Z(4) + -1.5 * Z(5) + 0.0 * Z(7) + -0.5... | 4 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["00111100", "01011100", "01110010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.8012883905058786) q[0];
rz(1.8410028802801364) q[0];
rx(0.8941721514024139) q[1];
rz(1.322891233007514) q[1];
rx(0.7727609472264901) q[2];
rz(1.5332188129694337) q[2];
rx(-0.07067154001142846) q[3];
rz(2.2909535443331634) q[3];
rx(-0.11738637931317542) q[4];
rz(1.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} | [
"IIIIZIIZ",
"IIIIIZZI",
"IIIZIZII",
"IIIZIIZI",
"IIZIZIII",
"IIZIIZII",
"IIZIIIZI",
"ZIIIZIII",
"IZIZIIII",
"IZZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-1,
-1,
-1.5,
0,
-0.5
] | 0.971649 | [
0.8012883905058786,
0.2702065534852398,
0.8941721514024139,
-0.24790509378738235,
0.7727609472264902,
-0.03757751382546295,
-0.07067154001142845,
0.720157217538266,
-0.11738637931317543,
-0.28800593110806094,
0.04230625824022197,
-0.05250308397549247,
0.5394946952850757,
0.1691257209564990... | {
"n_parameters": 68,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 24 |
5fc8ddd9b490928efab5d46a7fda09a4 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 7}, {"source": 4, "ta... | {"states": [228, 229], "expectation_value": -2.9667774991634093, "params": [0.9056000000000001, 0.07300000000000001, 0.9067000000000001, 0.00030000000000000003, 0.9115000000000001, 0.26030000000000003, 0.9114000000000001, 0.0, 0.9119, 0.2611, 0.9104000000000001, 0.0099, -0.0137, -0.4733, -0.011300000000000001, 0.007200... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(4) + -0.5 * Z(0) + -0.5 * Z(6) + -1.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + -1.0 * Z(7) + 0.0 * Z(5) | 5 | 8 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["00011010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(-6.126449322559573e-06) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-6.126449322559573e-06) q[1];
cx q[0], q[1];
rz(-1.5709207139058865) q[0];
rx(-1.5706906646278838) q[0];
cx q[2], q[1];
rz(-6.126449322559573e-06) q[1];
cx q[2], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIZIIII",
"ZZIIIIII",
"ZIIIZIII",
"IIZZIIII",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-1,
0,
0,
-1,
0
] | 0.932203 | [
-0.000006126449322559573,
-1.570920713905886,
1.5709272473636124,
1.570710396024967,
1.5708714554051209,
-1.5707452903609194,
-1.570690664627884,
0.33096783508676,
0.06537739502227977,
-0.2576869562513256,
0.3995909898567742,
-0.2921438586432958,
0.06719963066271914,
-0.0002287731424465783... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -59,
"target_ratio": 0.97,
"target_value": -57.23
} | 500 |
8c8f38d71ff17ef5330f3a52e91d52d1 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [682, 684], "expectation_value": -48.87176159443734, "params": [[[0.6377, 0.2674], [0.30670000000000003, 0.2029], [0.8981, 0.6808000000000001], [0.5478000000000001, 0.6408], [0.8887, 0.6147], [0.6118, 0.7759], [0.3886, 0.9027000000000001], [0.2826, 0.6175], [0.9008, 0.8436], [0.9066000000000001, 0.8327]], [[... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(2) @ Z(4)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(7) @ Z(8)) + 1.0 * Z(1) + 2.5 * Z(0) + 12.5 * Z(4) + 10.0 * Z(3) + 12.5 * Z(2) + 0.5 * Z(5) + 6.5 * Z(6) + 4.0 * ... | 15 | 10 | 2 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["0101010011"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.6591258255333007) q[0];
ry(0.40690917396024356) q[1];
ry(0.9556486967349785) q[2];
ry(0.5562962605366716) q[3];
ry(0.28086362925531994) q[4];
ry(0.37282920487635424) q[5];
ry(-0.1845311822248967) q[6];
ry(-0.04309708502997052) q[7];
ry(-0.03516405347232559) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IZIZIIIIII",
"IIZIIIZIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
1,
2.5,
12.5,
10,
12.5,
0.5,
6.5,
4,
5.5,
-10.5
] | 0.975605 | [
0.6591258255333007,
0.40690917396024356,
0.9556486967349785,
0.5562962605366716,
0.28086362925531994,
0.37282920487635424,
-0.1845311822248967,
-0.04309708502997052,
-0.03516405347232559,
1.3710966702578382,
0.010710359133753733,
-0.02149179521534443,
-0.04553838431844261,
0.18765345431542... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -90.5,
"target_ratio": 0.97,
"target_value": -87.785
} | 66 |
94dd9c8568f88dcb3e4d7e2fe1b8d82a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [5, 63], "expectation_value": -6.434790535420706, "params": null, "bitstrings": ["1111010", "1000000"], "total_optimization_steps": 63, "probabilities": [0.07175495237596136, 0.7330665385176253], "optimization_time": 66.57160353660583} | -0.5 * (Z(0) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(6) + -0.5 * Z(1) + -0.25 * Z(2) + -1.75 * Z(5) + 2.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1111110", "1000000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.01696964563984058) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.6257158851690002) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.8826680353858664) q[2];
cx q[3], q[2];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.44149109525872793) q[5];... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIZIIZ",
"ZIIIIIZ",
"IIIZIZI",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IIZIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"IIZIIII"
] | [
-0.5,
0.75,
-1.25,
-0.5,
-1,
-0.25,
-0.75,
-1,
-1.5,
0.5,
-0.25,
0.25,
-0.5,
-0.25,
-1.75,
2
] | 0.872663 | [
0.01696964563984058,
0.12295109747947061,
0.6257158851690002,
0.8826680353858664,
0.5860523152796467,
0.44149109525872793,
0.33128169600839774,
0.2852731024582777,
-1.0288623657695086,
0.5339911888699572,
-0.13975071708561476,
1.1869116100653803,
0.04328033325172488,
-0.8178563442900494,
... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 500 |
2516a2390c15857d60c9b0fe40f23a00 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 4}, {"capacity": 3, "so... | {"states": [11, 9], "expectation_value": -1.7493826327240525, "params": [[0.0636, 0.07010000000000001, 0.056100000000000004, 0.0711], [-0.0346, -0.0611, -0.051500000000000004, -0.0539]], "bitstrings": ["10100", "10110"], "total_optimization_steps": 10, "probabilities": [0.06564549957122409, 0.07009677164740574], "optim... | -1.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.25 * Z(1) + -0.25 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.75, "smallest_bitstrings": ["10100", "10110"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5890800937377858) q[0];
rz(-pi) q[1];
ry(-3.1155327368841115) q[1];
rz(-pi) q[2];
ry(-0.04137361749157337) q[2];
h q[3];
h q[4];
ry(1.642088873374983) q[4];
cx q[4], q[2];
ry(0.05197446119306805) q[2];
cx q[4], q[2];
cx q[4], q[1];
ry(0.06805220409940113) ... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIZIZ",
"IZZII",
"IZIZI",
"ZIZII",
"ZIIIZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-1.5,
-0.75,
-0.25,
-1,
1.75,
-1,
-1.25,
-0.25,
0.5,
1.25,
-0.25
] | 0.997568 | [
1.6649084475999796,
-1.560195483093402,
-1.5890800937377858,
1.642088873374983,
-0.1039489223861361,
-0.13610440819880226
] | {
"n_parameters": 6,
"n_qubits": 5,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 1 |
-7669321683752655463 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[3, 4, 12], [0, 3, 11], [5, 6], [8, 9, 2], [10, 3, 5], [8, 11], [9, 4, 7], [8, 12], [10, 4, 6], [10, 11, 6], [9, 12], [2, 12, 4], [0, 10, 7], [0, 2, 12], [0, 9, 4], [1, 10, 4], [2, 11], [9, 4, 6], [0, 8], [8, 9, 6], [0, 10, 11], [0, 5], [3, 12, 7], [1... | {"states": [5551, 1455], "expectation_value": -9.352857382304027, "params": [[[1.5448000000000002, 0.004, 0.0049, 0.008400000000000001], [0.0026000000000000003, 0.6393, -0.0024000000000000002, 0.0025], [2.6002, 0.0053, 0.0051, 0.0038], [0.4335, -0.0031000000000000003, 0.20020000000000002, 0.0031000000000000003], [2.594... | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.5 * (Z(12) @ Z(4)) + 0.5 * (Z(12) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(12)) + 0.16666666666666666 * (Z(11) @ Z(4)) + 0.16666666666666666 * (Z(11) @ Z(3)) + 0.16666666666666666 * (Z(11) @ Z(12)) + 0.6666666666666666 ... | 12 | 13 | 1 | {"smallest_eigenvalues": [-10.166666666666668, -10.166666666666668], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.833333333333336, "smallest_bitstrings": ["1101001010000", "1101001010001"], "largest_eigenvalue": 37.50000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.7196905049555509) q[0];
rz(-0.05504677180176027) q[0];
ry(0.009266655355386143) q[1];
rz(0.8820851109851142) q[1];
cz q[1], q[0];
ry(-0.07800691888846073) q[1];
ry(3.06264209022295) q[2];
rz(-0.2733103092635167) q[2];
ry(0.42851074960762214) q[3];
rz(-0.4379827170... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIIIZZIII",
"ZIIIIIIIZIIII",
"ZIIIIIIIIZIII",
"IIIIIIIIZIIIZ",
"IIIIIIIIIZIIZ",
"ZIIIIIIIIIIIZ",
"IZIIIIIIZIIII",
"IZIIIIIIIZIII",
"ZZIIIIIIIIIII",
"IZIIIIIIIIIIZ",
"IIIIIIIZZIIII",
"IIIIIIIZIZIII",
"ZIIIIIIZIIIII",
"IIIIIIIZIIIIZ",
"IZIIIIIZIIIII",
"IIIIIIZIZIIII",
"IZIIIIZIIII... | [
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.6666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666... | 0.970032 | [
0.7196905049555509,
-0.05504677180176027,
0.009266655355386143,
0.8820851109851142,
3.06264209022295,
-0.2733103092635167,
0.42851074960762214,
-0.4379827170455843,
2.915650015249089,
0.011613252031251714,
0.015099135813422152,
-0.6118927668845137,
-0.03265590025125311,
0.23595603676775093... | {
"n_parameters": 37,
"n_qubits": 13,
"optimal_eigenvalue": -10.166666666666668,
"target_ratio": 0.97,
"target_value": -9.861666666666668
} | 17 |
5a8eac0760a558d4174437be478ec0aa | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [5, 21], "expectation_value": -2.0719430976342794, "params": null, "bitstrings": ["11010", "01010"], "total_optimization_steps": 28, "probabilities": [0.13262953595047108, 0.6775037254469125], "optimization_time": 13.295176267623901} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["01010"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.82536574049687) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.24273634073259914) q[1];
h q[2];
h q[3];
ry(-0.24273634073259914) q[3];
cx q[2], q[3];
ry(0.24273634073259914) q[3];
cx q[2], q[3];
ry(1.300380278656536) q[2];
ry(-0.845563361950822) q[3];
h q[4];
cx q[4], q[1];
ry... | 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(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0,
0
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
-0.5677464941140427,
-0.3011043768554298,
0.6740485844110712,
1.8584456786071313,
-0.3550392547384828,
-0.049666130392177224,
0.1283809090165161,
0.14940958954842865,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
a91613587e2e3ed31c854337981da9dd | 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": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, ... | {"states": [1, 5], "expectation_value": -8.994069887330976, "params": null, "bitstrings": ["11111110", "11111010"], "total_optimization_steps": 21, "probabilities": [0.49801329686780876, 0.49901874048113365], "optimization_time": 18.549209117889404} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(7) + -1.25 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + -... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110", "11111010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.8142818159798348) q[0];
ry(-0.032593683521263635) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.610183497606998) q[2];
h q[3];
ry(-1.610183497606998) q[3];
h q[4];
ry(-1.610183497606998) q[4];
h q[5];
h q[6];
ry(-1.610183497606998) q[6];
h q[7];
ry(1.4863581279641118)... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IZIIIIZI",
"IZIIZIII",
"IIIZIZII",
"IZIZIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
-0.25,
0.5,
-1.25,
-0.25,
-1.75,
-0.25,
-0.75,
-0.75,
-1,
-1.25,
1.5,
-0.25,
0.5,
-1.25,
0,
0,
-1.75,
1.25
] | 0.997911 | [
-1.610183497606998,
1.4863581279641118,
-1.6285636319596697,
-1.3831484037152848,
-0.3101084791166965,
0.12617624117491766,
0.014085585013846047
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 1 |
ed01866ce53def5a36a69737a2fd120b | max_flow | 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": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [6457, 6425], "expectation_value": -8.258651391533041, "params": [0.007200000000000001, -0.0007, 0.0061, 0.006900000000000001, 0.5996, 0.5971000000000001, 0.5933, 0.5951000000000001, 0.034800000000000005, 0.048100000000000004, 0.0048000000000000004, 0.0035, 0.6076, 0.6085, 0.0005, 0.0004, 0.2802, 0.256, 0.44... | 0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(7) @ Z(9)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(9)) + -0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -0.5 * (Z(10) @ Z(12)) + 0.5 * (Z(11) @ Z(9)) + -0.5 * (Z(11) @ Z(12)) + 1.0 * (Z(11) @ Z(10)) + -0.5 * (Z(1) @ Z(12)) + 0.5 * (Z(2) @ Z(... | 14 | 15 | 2 | {"smallest_eigenvalues": [-10.333333333333217], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.333333333333131, "smallest_bitstrings": ["110011011100110"], "largest_eigenvalue": 24.666666666666643} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.129145857303265) q[0];
rz(-0.04281809130716757) q[0];
rx(3.3646756556499158) q[1];
rz(-0.07126208372567235) q[1];
rx(0.2591409259719783) q[2];
rz(0.304554161903536) q[2];
rx(0.009149764329273965) q[3];
rz(-0.1564246855355176) q[3];
rx(-0.039435622912399666) 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIIIIIZ",
"IIIIIZIZIIIIIII",
"IIIIIIIZIIIIIIZ",
"IIIIIZZIIIIIIII",
"IIIIIIZIIIIIIIZ",
"IIIIIIZZIIIIIII",
"IIZIIZIIIIIIIII",
"IIIIZZIIIIIIIII",
"IIZIZIIIIIIIIII",
"IIIZIZIIIIIIIII",
"IIZZIIIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIZIIIIIIIIIIZI",
"IIIIZIIIIIIIZII",
"IIIZIIIIIIIIZII",
"... | [
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.5,
1,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.4166666666666667,
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0.5,
-0.08333333333333333,
1,
-0.08333333333333331,
-0.5,
0,
-1,
3,
3,
-0.08333333333333331,
1.8333333333333335,
1.8333333333333335... | 0.974438 | [
-0.129145857303265,
-0.04281809130716757,
3.3646756556499158,
-0.07126208372567235,
0.2591409259719783,
0.304554161903536,
0.009149764329273965,
-0.1564246855355176,
-0.039435622912399666,
-0.14455685554995432,
0.29369761094609903,
2.532166941005374,
-0.020718965674505502,
3.10609841605757... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
849e8b7d0866f815fb0c906751b536ff | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [1798, 1823], "expectation_value": -21.478937261943155, "params": null, "bitstrings": ["00011111001", "00011100000"], "total_optimization_steps": 100, "probabilities": [0.08171835910838898, 0.42883545430839226], "optimization_time": 276.56313943862915} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(7)) + -2.5 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(6)) + -2.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(10)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["00011100000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.4973038590881866) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.44809170830710693) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.448091708307107) q[1];
rx(-1.29375475220986) q[1];
rz(-1.4973038590881866) q[2];
cx q[0], q[2];
rz(-0.4... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[10], 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... | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"ZIIIZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZIZIIIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"ZZIIIIIIIII",
"IZZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZ... | [
-1.5,
0.5,
-1.5,
-2,
-2,
-2,
-2,
-2.5,
-2,
-2.5,
0.5,
1,
1,
0.5,
-2.5,
-2,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.578656 | [
-1.4973038590881866,
-0.44809170830710693,
-0.15954409489278643,
-0.8431208617123968,
-0.6333875922629212,
-1.29375475220986
] | {
"n_parameters": 6,
"n_qubits": 11,
"optimal_eigenvalue": -27.5,
"target_ratio": 0.97,
"target_value": -26.675
} | 184 |
209492d0ebde0c4941c69f20876abb8e | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [405, 218], "expectation_value": -41.62325081035118, "params": null, "bitstrings": ["001101010", "100100101"], "total_optimization_steps": 100, "probabilities": [0.08014064645964437, 0.3145507446695984], "optimization_time": 199.95769715309143} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(0)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.6129533872423376) q[0];
rz(-pi) q[0];
ry(-2.7133984904150865) q[1];
rz(-pi) q[1];
ry(-1.1246832916142324) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.06990389825150062) q[3];
ry(-2.492509573069741) q[4];
rz(-pi) q[4];
rz(-pi) q[5];
ry(-2.5261241041441176) q[5];
h q[6];
ry(3... | null | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(9.9081) 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] = m... | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14,
12,
17.5,
19.5,
3,
16.5,
8.5,
17.5,
-2.5
] | 0.975696 | [
10.121101282315646,
-12.319882261664342,
16.707062439924574,
-0.04620449146954514,
5.408766694090489,
39.2881569578351,
2.200931497780031,
1.3504497871600263,
-12.3896475105252,
11.461956828246157,
-21.13442863499262,
-11.125335305707027,
17.15160517466839,
-4.001693389476348,
3.76601143... | {
"n_parameters": 79,
"n_qubits": 9,
"optimal_eigenvalue": -86.5,
"target_ratio": 0.97,
"target_value": -83.905
} | 72 |
3548e6a53fe7f33eccefb9f4fe0aae2f | 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": 7}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 4, "source": 3, ... | {"states": [31, 127], "expectation_value": -0.6651105221766711, "params": [[-0.0555, -0.0779], [0.0477, 0.0679]], "bitstrings": ["11100000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.00544035476040905, 0.005757008093916684], "optimization_time": 2.403202533721924} | 0.25 * (Z(0) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(7)) + -1.25 * (Z(4) @ Z(5)) + -0.25 * (Z(6) @ Z(5)) + -1.25 * Z(7) + -0.25 * Z(0) + -1.0 * Z(1) + 1.25 * Z(2) + 0.75 * Z(3) + -1.0 * Z(5) + 1.25 * Z(4) + 0.25 * Z(6) | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["11000000", "10000000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.20128190913001) q[0];
ry(0.06916472163768679) q[1];
ry(0.015663676468062392) q[2];
ry(0.19038815846766552) q[3];
ry(-0.15396474331331922) q[4];
ry(0.17130891105735244) q[5];
ry(-2.0689069311650736) q[6];
ry(3.088672280705279) q[7];
cx q[7], q[0];
cx q[6], q[7];
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] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"IIIIIZZI",
"ZIIIZIII",
"IIIIZZII",
"ZIZIIIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII"
] | [
0.25,
-1,
-1,
-0.25,
-0.5,
-1.25,
-0.25,
-1.25,
-0.25,
-1,
1.25,
0.75,
-1,
1.25,
0.25
] | 0.970012 | [
1.20128190913001,
0.06916472163768679,
0.015663676468062392,
0.19038815846766552,
-0.15396474331331922,
0.17130891105735244,
-2.0689069311650736,
3.088672280705279,
0.961256083889363,
-2.2180829622012572,
0.06259172568247467,
-0.019184601799460674,
0.022320144500481698,
0.13323763239951938... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 87 |
1024683408073907263 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 4, 6, 7, 8], [5, 7], [0, 1, 2, 3, 5, 6, 8]]} | {"states": [486, 231], "expectation_value": -0.33033460171066903, "params": [[0.4787], [-0.4315]], "bitstrings": ["000011001", "100011000"], "total_optimization_steps": 50, "probabilities": [0.0036879849644100944, 0.0036879849644100957], "optimization_time": 6.015895128250122} | 0.041666666666666664 * (Z(0) @ Z(1)) + 0.041666666666666664 * (Z(2) @ Z(1)) + 0.041666666666666664 * (Z(2) @ Z(0)) + 0.041666666666666664 * (Z(3) @ Z(1)) + 0.041666666666666664 * (Z(3) @ Z(0)) + 0.041666666666666664 * (Z(3) @ Z(2)) + 0.017857142857142856 * (Z(4) @ Z(1)) + 0.017857142857142856 * (Z(4) @ Z(0)) + 0.017857... | 1 | 9 | 1 | {"smallest_eigenvalues": [-0.8690476190476188, -0.8690476190476188, -0.8690476190476188, -0.8690476190476188, -0.8690476190476188], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -0.8690476190476187, "smallest_bitstrings": ["100011000", "000011100", "001011000", "000111000", "010011000"], "largest_eigenva... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.18678741678797706) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.18678741678797706) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.18678741678797706) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.18678741678797706) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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], q[0];
rz(x0) q[0];
... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"... | [
0.041666666666666664,
0.041666666666666664,
0.041666666666666664,
0.041666666666666664,
0.041666666666666664,
0.041666666666666664,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.041666666666666664,
0.041666666666666664,
0.041666666666666664,
0.04... | 0.915769 | [
0.18678741678797706,
0.017841132257642525,
-0.005253947398878541,
1.5676301614376271,
0.8579875491701712,
0.5360456710388459,
-0.5287363527074452,
-0.8514904648534423
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -0.8690476190476188,
"target_ratio": 0.97,
"target_value": -0.8429761904761902
} | 200 |
5e96f1c69197de9e0aa5e24ef0ce2579 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 8}, {"sour... | {"states": [394, 395], "expectation_value": -2.558688309804423, "params": [[[0.6072000000000001, 0.0007], [0.6096, 0.0006000000000000001], [0.0018000000000000002, -0.2878], [-0.006, 0.2874], [0.1675, -0.2265], [0.5989, 0.0018000000000000002], [0.1613, -0.23040000000000002], [0.6095, 0.0022], [0.5958, 0.0026000000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + -1.0 * Z(2) + 0.0 * Z(5) + -0.5 * Z(8) + -0.5 * Z(4) + -0.5 * Z(6) + 0.0 * Z(7) | 1 | 9 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["000101101", "001110010", "001100101", "001110100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(0.33218058530652517) q[0];
ry(3.0433203795922537) q[0];
rz(-2.4811107345821366) q[0];
rz(1.476061588535388) q[1];
ry(2.7667310838584367) q[1];
rz(-1.5035157575741442) q[1];
rz(-2.0513292772936276) q[2];
ry(0.06773382770458447) q[2];
rz(1.482783671429936) q[2];
rz(-1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZIIZII",
"ZIIIIIZII",
"ZIIIZIIII",
"IIZIZIIII",
"IZZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
0,
-1,
0,
-0.5,
-0.5,
-0.5,
0
] | 0.9733 | [
0.8009405157566909,
-0.05677650517638737,
0.6216580490707165,
-0.021177279652597567,
-0.07389024392699178,
-0.3661039504863393,
-0.02594097054117274,
0.43449440378448595,
-0.20850226288904733,
-0.34309577820088455,
0.8145785422464153,
0.0813904620734042,
-0.028778270322523156,
1.4419860995... | {
"n_parameters": 47,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 18 |
bb51b85a8f0cca1e878093cb2d4e9f25 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [18, 3], "expectation_value": -8.179548791031273, "params": [[-0.0524, -0.0376, -0.0318], [0.0761, 0.0698, 0.0664]], "bitstrings": ["101101", "111100"], "total_optimization_steps": 10, "probabilities": [0.04083049522213686, 0.04392481140056209], "optimization_time": 6.515462636947632} | 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)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 ... | 11 | 6 | 3 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"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,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
-6,
-5.75,
-6,
-5.75,
-5.25,
-5.25
] | 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 |
1674724299570904343 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 5], [0, 5], [0, 2], [0, 3], [3, 4], [2, 3], [1, 2], [5, 7], [3, 7], [6, 7], [8, 6], [0, 4], [8, 5], [1, 6], [3, 5], [0, 6], [8, 0], [2, 6], [0, 7], [8, 2], [8, 4], [8, 1], [1, 7], [2, 4]]} | {"states": [188, 323], "expectation_value": -0.20130237281765506, "params": [[0.06770000000000001], [-0.0641]], "bitstrings": ["101000011", "010111100"], "total_optimization_steps": 10, "probabilities": [0.0023087306573738235, 0.0023087306573738235], "optimization_time": 4.114044427871704} | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100011", "010111100", "110011100", "101000011"], "largest_eigenvalue": 12.0} | 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];
cx q[5], q[2];
rz(0.3925822107342894) q[2];
cx q[5], q[2];
cx q[5], q[0];
rz(0.3925822107342894) q[0];
cx q[5], q[0];
cx q[2], q[0];
rz(0.3925822107342894) q[0];
cx q[2], q[0];
cx q[5], q[3];
rz(0.3925822107342894) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZII",
"IIIZIIIIZ",
"IIIIIIZIZ",
"IIIZIZIII",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIIIZZI",
"IZIZIIIII",
"IZIIIIIIZ",
"IZIIIZIII",
"IZIIIIIZI",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZIIIIZI",
"IZZIIIIII",
"ZIIZIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.417868 | [
0.3925822107342894,
-5.924105143414508e-9,
-0.5760513268434997
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 94 |
8c44c442a25e00dfae4e1647b2faf79f | 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": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [9, 18], "expectation_value": -0.18345406869159492, "params": [[0.0656, 0.034300000000000004], [-0.0708, -0.0371]], "bitstrings": ["10110", "01101"], "total_optimization_steps": 10, "probabilities": [0.035976542328901046, 0.035976542328901046], "optimization_time": 1.9438726902008057} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(3) | 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": ["11010", "11001", "10110", "01101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIIZ",
"IZIZI",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5,
-0.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
6d259388045d20d69ae4242ad2e143d7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [16, 9], "expectation_value": -4.193548698875964, "params": null, "bitstrings": ["01111", "10110"], "total_optimization_steps": 21, "probabilities": [0.07126123316379822, 0.8232615936107338], "optimization_time": 11.840702295303345} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 0.25 * Z(1) + 0.5 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["10110"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.2266707306631195) q[0];
h q[1];
ry(1.0272541345090267) q[1];
ry(-0.5861463410328833) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.6625309996307737) q[3];
h q[4];
cx q[4], q[0];
ry(0.2266707306631195) q[0];
cx q[4], q[0];
ry(-1.161710436049223) q[0];
ry(1.320414490855... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[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]... | [
"IIZIZ",
"IZZII",
"IZIIZ",
"IIZZI",
"IZIZI",
"ZIIIZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
1.25,
-0.75,
-1,
-0.25,
0.5,
0.25,
0.5
] | 0.974474 | [
-0.453341461326239,
1.3204144908550612,
-1.0707147283862435,
2.0545082690180534,
0.03783762275645283,
-1.3250619992615473,
-0.18199141532595858,
-1.1961211419101938,
-0.3696846406039731,
-0.5697898662685712,
0.6076384529352682,
-0.454147025534971,
-0.17281825067926812,
-1.0626170488715485
... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 17 |
dc8ac5f82febba9dcace181eb5c76eb3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [21, 22], "expectation_value": -3.496398041568179, "params": null, "bitstrings": ["101010", "101001"], "total_optimization_steps": 25, "probabilities": [0.06635196634142619, 0.930327020293955], "optimization_time": 14.77568244934082} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "101010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"ZIIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-0.5,
-0.5,
0
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
2cf6224a7b786ab8607e7cc5dbc62158 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6... | {"states": [3, 43], "expectation_value": -0.5606903220449065, "params": [[-0.047, 0.0118, 0.07740000000000001], [0.0722, 0.048600000000000004, -0.0514]], "bitstrings": ["1111100", "1010100"], "total_optimization_steps": 10, "probabilities": [0.01151548527919954, 0.011942461477400338], "optimization_time": 2.77783346176... | -1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(1) @ Z(3)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(4) + 0.5 * Z(3) + -0.25 * Z(1) + 0.5 * Z(6) + 1.0 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["1010100"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.06830128417282086) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.011585934974251182) q[3];
cx q[2], q[3];
rz(-0.6633598662099609) q[2];
rx(-1.3300415243216537) q[2];
cx q[3], q[1];
rz(-0.30274825969433) q[1];
cx q[3], q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IIIZZII",
"IIIZIZI",
"ZIIIIIZ",
"ZIIIIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
-1,
-0.75,
-0.25,
-1.25,
2,
-0.5,
-1,
-0.75,
-0.25,
-0.75,
0.5,
-0.25,
0.5,
1
] | 0.970349 | [
-0.06830128417282086,
-0.6633598662099606,
0.011585934974251182,
-0.30274825969433,
0.03219304338927346,
-0.1354849027968686,
0.8613712349684953,
0.42174121241001783,
-1.330041524321654,
-0.2214808877154617,
-0.993722562477752,
0.18392254142999373,
-0.9256007528868808,
0.1552563526822461,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 210 |
a6da0588e4f06076b5c2f06ef98c16c3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 18, "source": 1, "target": 3}, {"weight": 10, "source": 2, "target": 3}, ... | {"states": [125, 109], "expectation_value": -21.609509870320558, "params": [[0.0268, 0.023100000000000002, -0.0059, -0.0273], [-0.0475, -0.0687, -0.040600000000000004, -0.029500000000000002]], "bitstrings": ["10000010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.0120559204024019, 0.014157049226931... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 5.0 * Z(0) + 13.0 * Z(2) + 9.0 * Z(3) + 12... | 1 | 8 | 4 | {"smallest_eigenvalues": [-58.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 135.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.6893829270649235) q[0];
rz(-0.15246847792251517) q[0];
rx(0.8054746318133343) q[1];
rz(-0.1838163856781594) q[1];
rx(0.4051055585965716) q[2];
rz(-0.22350801436726764) q[2];
rx(0.0026468023417618863) q[3];
rz(0.4052824277792104) q[3];
rx(-0.3718109169788402) 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": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11,
5,
13,
9,
12.5,
16,
12.5,
8
] | 0.983472 | [
0.6893829270649237,
-0.15421740938566555,
0.8054746318133343,
-0.21500998908504157,
0.40510555859657166,
-0.1561534392208339,
0.0026468023417618863,
0.26630454616751786,
-0.37181091697884017,
-0.029580537836861695,
-0.013845030580932005,
0.086408608200701,
0.9631530342970905,
0.09314220419... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
474afac3a31ba487f93ea7ccb82b3637 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [0, 85], "expectation_value": -14.759138907341782, "params": [-0.3432, 0.7378, -0.15410000000000001, -0.5243, -0.8843000000000001, 1.8574000000000002, 0.026000000000000002, 1.3066, -0.005, 1.7536, -0.0039000000000000003, 0.47400000000000003, -0.8914000000000001, 1.7944, -0.1802, 1.3592, -1.1225, 1.4263000000... | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.75 * (Z(7) @ Z(1)) + 2.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ ... | 6 | 8 | 2 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10101010"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.36872562284623683) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0013655158718997333) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.00014135006894810655) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.8230635131707402) 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZIZI",
"IZIIIIZI",
"IZIIIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"ZIZIIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIII... | [
-0.75,
-1.25,
-1,
-0.5,
-1.75,
2.75,
-0.25,
-1,
-1.5,
-0.75,
-1,
-1.25,
-1,
-1.5,
-1.25,
3.5,
-0.25,
-1.75,
-2.25,
-0.75,
0.25,
-2.25,
3.5
] | 0.701154 | [
-0.36872562284623683,
0.0013655158718997333,
0.00014135006894810655,
-0.8230635131707402,
0.436838185920855,
-0.026107577769653063,
0.6164086498279017,
0.0005290909695814357,
-1.5695427040038046,
1.5735797033135825,
-1.5707911703690771,
1.5642689749322976
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 323 |
5144181ac27497fdfa9bdb5b8b799630 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 6], "expectation_value": -0.023241701758896116, "params": [[0.0516, 0.020300000000000002], [-0.054200000000000005, -0.0269]], "bitstrings": ["110", "001"], "total_optimization_steps": 10, "probabilities": [0.12848288740469332, 0.13082025961737373], "optimization_time": 0.7226581573486328} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 3 | 2 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
rz(x1) q[2... | null | {"circuits": [], "gradients": []} | [
"ZIZ",
"ZZI",
"ZII",
"IIZ",
"IZI"
] | [
0.5,
0.5,
-0.5,
0,
0
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
8ca1cc128f26bbc587d2dbeb0c149cd8 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [35, 22], "expectation_value": -0.4285976895560784, "params": [[-0.0489, -0.0495], [0.0609, 0.061000000000000006]], "bitstrings": ["1011100", "1101001"], "total_optimization_steps": 10, "probabilities": [0.00974551474903501, 0.00974824496829817], "optimization_time": 3.428257703781128} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(6) + -1.0 * Z(3) + 0.0 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011100", "1101001", "1111000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.1044186887575012) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.62086699164525) q[1];
h q[2];
ry(-0.04832317967740758) q[3];
rz(-pi) q[3];
h q[4];
ry(1.5043802004688414) q[4];
h q[5];
ry(1.5043802004688414) q[5];
cx q[5], q[3];
ry(0.08766964893760334) q[3];
cx q[5], q[3];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
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,
-1,
-0.5,
-1,
0
] | 0.993724 | [
-1.62086699164525,
-1.3938278090987974,
-1.4348034981798856,
1.5043802004688414,
-1.0020042667393492,
0.7466029713197173,
-0.1753392978752067,
-0.3045979748548337,
0.4578212070017425,
-0.5218060619904213,
0.24997306403953848,
0.09313877057308015,
0.08178973406295656,
0.07313792589671532,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
9b8c0ccb32d0f88d964f624767035a96 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [1, 9], "expectation_value": -11.016200233920893, "params": [-0.0048000000000000004, 0.6061000000000001, -0.00030000000000000003, 0.6685, -0.0016, 0.6518, -0.0031000000000000003, 0.6563, 0.40130000000000005, -0.010400000000000001, -0.0013000000000000002, 0.6592, -0.0044, 0.6628000000000001, 0.7799, 0.0011, -... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + 2.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + -0.75 * Z(6) + 0.75 * Z(2) + -1.0 * Z(3) ... | 3 | 8 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11110110"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.39636875710932784) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.025445399608615533) q[2];
cx q[1], q[2];
rz(0.7435363741497949) q[1];
rx(1.5892963016699295) q[1];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.025383228227577177) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIIZZI",
"IIIZZIII",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-1.25,
-0.25,
-0.75,
-0.25,
-1.5,
2.25,
-0.75,
-1,
-0.25,
0.5,
-0.75,
0.75,
-1,
0.25,
1.5
] | 0.928057 | [
0.39636875710932784,
-0.025383228227577177,
-0.025445399608615533,
0.48494604258427165,
-0.12110685350730785,
-0.06267444957194843,
0.7435363741497948,
-0.5272969720301025,
0.8112275368431179,
0.6305407508444273,
-0.6721587925890405,
1.5892963016699295,
0.6494780915974173,
-0.0574263798070... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 500 |
20a60ed013bc1976376f734be7d8d92c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 6], "expectation_value": -1.9998648604775688, "params": null, "bitstrings": ["1111", "1001"], "total_optimization_steps": 13, "probabilities": [1.900140947380775e-05, 0.9999183586751094], "optimization_time": 4.557924747467041} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.4449) q[0];\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",
"ZZII",
"IZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
9b41173c8f578cb00ef36077989123da | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [43, 299], "expectation_value": -7.524311288719903, "params": [0.0029000000000000002, 0.0029000000000000002, 0.8096, 0.8101, 0.0025, 0.0025, 0.001, 0.002, 1.5718, 1.5744, -0.002, -0.002, 1.5673000000000001, 1.5684, 0.004200000000000001, 0.0023, 1.566, 1.5697, 1.5710000000000002, 1.5745, -0.0019, 0.005, 1.176... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(9) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["1011010100"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.04988385090181559) q[0];
rz(0.01756543928687769) q[0];
ry(1.0337046970980248) q[1];
ry(0.06241603162240064) q[2];
ry(0.004101869410625181) q[3];
ry(1.612274752249583) q[4];
ry(0.04179980399579753) q[5];
ry(1.556889929844671) q[6];
ry(0.00499553447446377) q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IZIIIIIIIZ",
"IIIIZIIIZI",
"IIIZZIIIII",
"IZIIZIIIII",
"IIZIIIIIZI",
"IZZIIIIIII",
"IIIIIZIZII",
"IIZIIIIZII",
"ZIIIZIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-1,
-0.5,
-1,
-1,
-1.5,
-1,
-1,
-0.5
] | 0.971232 | [
0.04988385090181559,
1.0337046970980248,
0.06241603162240064,
0.004101869410625181,
1.612274752249583,
0.04179980399579753,
1.556889929844671,
0.00499553447446377,
1.3933634316728434,
1.5032831589606899,
0.03513087857375538,
-0.029770194752794465,
1.191959054970691,
0.17809116926644222,
... | {
"n_parameters": 36,
"n_qubits": 10,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 6 |
0880db631f670f7f3ca0bd5d242b72c4 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [65, 3], "expectation_value": -11.163746151229716, "params": [[-0.0064, 0.0349, 0.018500000000000003], [-0.0088, -0.052500000000000005, -0.063]], "bitstrings": ["0111110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.012622027439971548, 0.013063110669238827], "optimization_time": 5.8045887... | 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)) + 2.75 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + ... | 9 | 7 | 3 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.5872911573188792) q[0];
rz(-pi) q[0];
ry(-0.26726735204165186) q[1];
rz(-pi) q[1];
ry(-0.32025952141824876) q[2];
rz(-pi) q[2];
ry(-0.6224629696099127) q[3];
rz(-pi) q[3];
ry(-0.35181623562306424) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.7161138757931876) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
3,
3,
2.75,
2.75,
3,
3,
3,
3,
-10.5,
-10.25,
-10.25,
-10,
-10,
-9.5,
-9.5
] | 0.970185 | [
5.251233437186073,
-0.2673912936828298,
-0.7760115953540541,
-0.3650841035981909,
-1.3429305731484023,
-1.4322277515863753,
-1.1664985071735865,
1.1175018014905993,
-0.9490504200451876,
-0.543154209519463,
0.8403138767734598,
-0.42645370075633826,
-0.3266029877858881,
0.24790096395313949,
... | {
"n_parameters": 47,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 1 |
-1863440695494823104 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3], [2, 3, 4], [0, 1, 3, 4, 5], [2, 4, 5], [0, 1, 2]]} | {"states": [45, 29], "expectation_value": -1.5032422904357183, "params": null, "bitstrings": ["010010", "100010"], "total_optimization_steps": 25, "probabilities": [0.028910513045167858, 0.9383802125848517], "optimization_time": 27.261592388153076} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(0)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.21666666666666667 * (Z(1) @ Z(0)) + 0.05 * (Z(1) @ Z(3)) + 0.05 * (Z(1... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3333333333333337, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 5.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(4.642079681928591e-08) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(4.642079681928591e-08) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-2.409935108800861e-08) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(4.642079681928591e-08) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5298) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"IIIIZZ",
"IIZIZI",
"IZIIZI",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"ZZIIII",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.3333333333333333,
0.3333333333333333,
0.21666666666666667,
0.3333333333333333,
0.05,
0.21666666666666667,
0.16666666666666666,
0.21666666666666667,
0.05,
0.05,
0.16666666666666666,
0.05,
0.05,
0.21666666666666667,
0.05,
0.6666666666666669,
0.43333333333333346,
0.43333333333333346... | 0.869565 | [
4.642079681928591e-8,
-2.409935108800861e-8,
5.347886792495423e-9,
-4.81534073876107e-8,
-1.5707963348156135,
1.5707962886593794,
1.5707962624774292,
-1.570796307818782
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -1.5333333333333334,
"target_ratio": 0.97,
"target_value": -1.4873333333333334
} | 214 |
4cd28f9bc761b26f6d6f15aeccbaedea | 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": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [52, 44], "expectation_value": -3.4890916346507894, "params": null, "bitstrings": ["1001011", "1010011"], "total_optimization_steps": 32, "probabilities": [0.06071916604716631, 0.8639381839609779], "optimization_time": 28.598884344100952} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(4) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0001111", "0010111", "0110110", "1110010", "1010011", "0101101", "1001011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.00016732716707271525) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.00016732716707271525) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.00016732716707271525) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.00016732716707271525) q[3];
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", ... | [
"IIZIIIZ",
"IZZIIII",
"IZIIIZI",
"ZZIIIII",
"ZIIIIZI",
"ZIIIZII",
"IZIZIII",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
-0.5,
-1,
-0.5,
-0.5
] | 0.920635 | [
0.00016732716707271525,
-0.5924455788903747,
1.1202157596152196,
-2.1299919140966863,
-0.921283751470345,
-0.9259638537657344,
0.656788748097326,
0.05566707846777746,
-0.2350099582362983,
-0.00025338828965832576,
-0.7056870444167618,
0.6002165622279372,
0.40321396654204583,
-0.860670749125... | {
"n_parameters": 33,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 500 |
620c5e3cf2d64d6e0bef2d4f36603b45 | 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": 0, "id": 8}, {"bipartite":... | {"states": [287, 31], "expectation_value": -74.32146275633458, "params": [1.4779, 0.0092, -0.0023, 0.009300000000000001, -0.0025, 0.0057, 1.4387, 0.0012000000000000001, 2.6955, 0.0012000000000000001, 2.6905, 0.0054, 2.6997, 0.0079, 2.6884, 0.007, 2.6832000000000003, 0.01, 0.0078000000000000005, 0.0023, 0.0049, 0.0074, ... | 7.0 * (Z(0) @ Z(4)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(0)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(7) @ Z(8)) + 22.5 * Z(4) + 10.0 * Z(0) + 9.5 * Z(3) + 21.0 * Z(6) + 1... | 18 | 9 | 1 | {"smallest_eigenvalues": [-96.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.0, "smallest_bitstrings": ["111100000"], "largest_eigenvalue": 219.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.23784141867602038) q[0];
rz(-0.37924462174318085) q[0];
rx(0.1982602502018564) q[1];
rz(0.28497038996619106) q[1];
rx(0.017293425114536493) q[2];
rz(-0.14464272455718263) q[2];
rx(0.4415308750396405) q[3];
rz(-0.12807257347581927) q[3];
rx(3.1427949741917542) 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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIIZZIII",
"IIZIZIIII",
"IIZIIIIIZ",
"IIIZIZIII",
"IIZZIIIII",
"ZIIIZIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IZIIIZIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
22.5,
10,
9.5,
21,
14,
19.5,
15.5,
-11,
-12
] | 0.975499 | [
0.23784141867602038,
-0.17447622002341093,
0.1982602502018564,
0.28497038996619106,
0.017293425114536493,
-0.14464272455718263,
0.4415308750396405,
-0.12807257347581927,
3.1427949741917542,
3.26428913513024,
0.42688038792282834,
3.3283218771803402,
0.339156165013145,
2.8887264326239195,
... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -96,
"target_ratio": 0.97,
"target_value": -93.12
} | 13 |
1edfe126d3cf465290b6c98710f2e60a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 8}, {"capacity": 3, "s... | {"states": [510, 255], "expectation_value": -0.022757517958913093, "params": [[0.0198, -0.054, -0.06770000000000001, 0.08950000000000001, -0.0324, 0.0845, -0.0724, -0.0611, -0.0008], [0.08750000000000001, -0.06620000000000001, 0.0008, 0.0557, 0.0015, 0.0659, -0.0008, -0.0533, 0.0883], [-0.0395, 0.0864, 0.07150000000000... | -0.75 * (Z(0) @ Z(2)) + -1.25 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(6) @ ... | 9 | 9 | 4 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 25.0} | 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(-1.570796261191446) q[0];
h q[0];
rx(-4.888640242732284e-07) q[1];
h q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIZIIIZI",
"IIIIZIZII",
"IIIZZIIII",
"IIIIZIIZI",
"IZIIIIZII",
"IZIZIIIII",
"ZZIIIIIII",
"IZIIIIIZI",
"IIZIIIZII",
"IIZZIIIII",
"IIZIZIIII",
"IZZIIIIII",
"IIIZIZIII",
"ZIIIIZIII",
"IIIIZZIII",
"IZIIIZIII",
"... | [
-0.75,
-1.25,
-0.75,
1.75,
-1,
-1,
-0.75,
-1.25,
-0.75,
-1,
-0.5,
-1,
-0.5,
-0.5,
-1,
-0.5,
-1.25,
-1.5,
-0.75,
-1,
-1.5,
-1.25,
3.75,
-0.25,
-2.75,
0,
1.25,
-0.75,
-2.25,
-3,
4
] | 0.342105 | [
-1.570796261191446,
-4.888640242732284e-7,
-0.19467504501393948,
1.5707975432582524,
5.50610417709632e-7,
-1.0146954637328656,
-0.6792427026504884,
3.836784543673801e-7,
4.799325978666077e-7,
-0.48979981340183243,
0.19467507253526917,
2.3353208853339714e-7,
0.5108813485821195,
-0.037419653... | {
"n_parameters": 34,
"n_qubits": 9,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 500 |
1945c14bbcec92b7e4f7655d5da7795f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [128, 1], "expectation_value": -8.257007480993849, "params": null, "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 22, "probabilities": [0.16181872014306584, 0.644917025833557], "optimization_time": 20.080261707305908} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["10111110", "10011010", "11111110", "10000000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7829208339556055) q[0];
h q[1];
h q[2];
ry(-1.565841667911211) q[2];
h q[3];
ry(-1.565841667911211) q[3];
h q[4];
ry(-1.6049620459691951) q[4];
ry(-0.02737154603416445) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.5671790015514286) q[6];
h q[7];
cx q[7], q[0];
ry(0.7... | 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[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... | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIZII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IIIIIZZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZIZI",
"ZIIIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
-0.75,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.75,
-0.75,
2,
-0.5,
-0.5,
-0.25,
-0.25,
0,
1.5,
-0.5,
1.25,
-2,
0.25
] | 0.971076 | [
-1.565841667911211,
-1.5671790015514286,
-1.6049620459691951,
0.6420941017453372,
-0.27825456102521207,
0.670535929579305,
-0.3414240103559716,
-1.3886537724625685,
-0.8050574439941292,
-0.281509916078036,
-0.3095420165963274,
-0.05839965564258676
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 4 |
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