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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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": 18.070855855941772} | 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 | 4 | {"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 |
1acf7607c7ee29e36b87a4b01083b206 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 3, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -1.5583084769614008, "params": [[-0.0649, -0.0361, -0.0693], [0.07980000000000001, 0.0568, 0.0663]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.027062935944397244, 0.029195904839428202], "optimization_time": 2.562661647796631} | -1.5 * (Z(0) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.06827815816356449) q[0];
h q[1];
ry(0.28864931235364366) q[1];
h q[2];
h q[3];
cx q[3], q[1];
ry(-0.28864931235364366) q[1];
cx q[3], q[1];
ry(0.2691310622985146) q[3];
ry(0.7286787559448862) q[1];
h q[4];
ry(1.1406820502596924) q[4];
cx q[2], q[4];
ry(-1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IIZIZI",
"IZIZII",
"ZZIIII",
"ZIIIIZ",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-0.25,
-1.25,
-1,
-1.5,
1.75,
-0.25,
0.25,
-0.25,
1,
-1,
0,
0
] | 0.970202 | [
0.5772986247072873,
-0.13655631632712897,
1.4784928192670517,
2.2813641005193848,
2.1336059398620155,
0.08833575044167,
-0.9910259827145842,
0.04008808361503387,
0.5382621245970292,
1.4573575118897724,
1.1779871136653997,
-0.41195736481598083,
0.047345997501894194,
0.04288036191304298,
-... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 97 |
eb37df157f972d0ca6ce6f2978928048 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [29, 5], "expectation_value": -0.16867184372931085, "params": [[-0.0504, -0.0487], [0.059000000000000004, 0.063]], "bitstrings": ["100010", "111010"], "total_optimization_steps": 10, "probabilities": [0.018556065997300423, 0.019180913088943038], "optimization_time": 2.112234354019165} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(4) + -0.75 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.34781260363078503) q[0];
ry(-0.0790730710407612) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.07098067974575972) q[2];
h q[3];
ry(1.191000615298271) q[3];
ry(-0.0919506591296967) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.34781260363078503) q[0];
cx q[5], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.25,
-0.25,
0.25,
-0.25,
-0.25,
-0.75,
0.5,
0.5
] | 0.971308 | [
-1.6195195910882816,
-0.6956252072615701,
1.163192809081668,
-0.6409245945835431,
-1.4157079854028858,
-1.4464175889434372,
1.191000615298271,
0.4437522521707178,
-0.5414288192221872,
0.3199884413474384,
-0.09061133362139674,
-0.12627536452462831,
-0.04451483090474981,
-0.07956465144531773... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 6 |
0ae9b6f2b61290137ab22e2dafb0c164 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [86, 45], "expectation_value": -0.16017755062607447, "params": [[0.0502, 0.027200000000000002, 0.0354, 0.060200000000000004], [-0.0487, -0.029500000000000002, -0.0285, -0.0405]], "bitstrings": ["0101001", "1010010"], "total_optimization_steps": 10, "probabilities": [0.009934567952913774, 0.009934567952913781... | 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)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -1.0, "smallest_bitstrings": ["1000011", "0111000", "1010010", "0101100", "0101001", "0010110", "1100001", "0100110", "0100101", "1000110", "0011010"], "largest_eige... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"ZZIZIII",
"IZIIIZI",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"ZIZIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0,
-0.25,
0,
0,
0,
-0.25,
0
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
7af7d775bcaae53afe2e6cd801577577 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4... | {"states": [53, 61], "expectation_value": -4.51330444394829, "params": null, "bitstrings": ["1001010", "1000010"], "total_optimization_steps": 37, "probabilities": [0.32302797343036166, 0.3231981112727231], "optimization_time": 32.07383680343628} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -0.5 * Z(5) + -0.75 * Z(3) + 1.25 * Z(1) + 0.0 * Z(4) + -0.25 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000000", "1000010", "1001000", "1001010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-3.566343849078252e-08) q[0];
h q[1];
ry(1.5707964254551867) q[1];
h q[2];
ry(0.7853981577683291) q[2];
h q[3];
h q[4];
cx q[4], q[2];
ry(-0.7853981577683291) q[2];
cx q[4], q[2];
ry(0.6154797280173793) q[4];
cx q[2], q[4];
ry(-0.6154797280173793) q[4];
cx q[... | 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"IIIZIZI",
"IIZIZII",
"IIZIIZI",
"ZIIIIIZ",
"ZZIIIII",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.75,
-1.25,
-0.5,
1,
-0.5,
-0.75,
0.5,
-0.25,
-0.5,
-0.75,
1.25,
0,
-0.25
] | 0.95 | [
1.5707964254551867,
1.5707963155366582,
1.2309594560347585,
-7.132687698156503e-8,
2.189959071533727,
-0.47139845987290235,
-1.3036990549846905,
0.9516337926517188,
-0.3288340396280566,
-0.2670971148890294,
-0.8747769099903144,
-1.5707965383304736,
-2.53334717147801e-7,
0.5628747003910123,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 393 |
622d839e3a993053d188056ec230b393 | 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}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"sour... | {"states": [255, 251], "expectation_value": -9.065026534053246, "params": [[[-0.503, 2.6004], [0.005200000000000001, 0.44320000000000004], [0.002, 0.0018000000000000002], [0.0019, 0.0018000000000000002], [0.0023, 0.0019], [1.6373, 0.039], [-0.0013000000000000002, 0.0424], [0.0016, -0.0017000000000000001]]], "bitstrings... | -1.5 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(3) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(5) | 15 | 8 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00000100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.08746819744785468) q[0];
h q[1];
h q[2];
ry(0.7557136738944998) q[2];
h q[3];
ry(-0.026052888384864047) q[3];
cx q[1], q[3];
ry(0.026052888384864047) q[3];
cx q[1], q[3];
cx q[3], q[0];
ry(1.489103817443877) q[1];
cx q[1], q[2];
ry(-0.7557136738944998) q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIZIZI",
"IIIIIIZZ",
"IIIIZZII",
"IIIIIZZI",
"IIIZIIZI",
"IIIZIZII",
"ZZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII",
"IIZIIIII"
] | [
-1.5,
-2,
0.5,
0.5,
-2,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.9742 | [
-0.05210577676972809,
1.489103817443877,
1.5114273477889997,
0.17493639489570936,
0.7716576166382672,
2.3234066334381076,
2.024459377772184,
0.2839448729267997,
-1.1699202441567242,
-0.20551372774737423,
-0.673069837730026,
-0.24032692467230005,
0.6527422891376282,
0.06709001280053276,
0... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 134 |
26d7f56e59bfdf48052023802b40605b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [25, 28], "expectation_value": -2.999937482249151, "params": null, "bitstrings": ["00110", "00011"], "total_optimization_steps": 20, "probabilities": [1.635611710952993e-05, 0.9999687418118111], "optimization_time": 11.7550048828125} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["00011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | 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[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IZIIZ",
"IZIZI",
"ZZIII",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-1,
0
] | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
cd6b95f7911cf005cdf71a0eba496ffd | 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": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "s... | {"states": [243, 251], "expectation_value": -8.49999598512711, "params": null, "bitstrings": ["100001100", "100000100"], "total_optimization_steps": 80, "probabilities": [0.49999958250044885, 0.49999958250044885], "optimization_time": 121.99903845787048} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(7) @ Z(8)) + -0.75 * (Z(7) @ Z(1)) + -0.25 * (... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.5, "smallest_bitstrings": ["100000100", "100011100", "100001100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7735667615416032) q[0];
rz(-pi) q[1];
ry(-3.079434104535893) q[1];
h q[2];
ry(1.516306984161729) q[2];
h q[3];
ry(0.7885357724872817) q[3];
cx q[2], q[3];
ry(-0.7885357724872817) q[3];
cx q[2], q[3];
h q[4];
ry(0.766889092337976) q[4];
h q[5];
h q[6];
ry(-... | 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] = m... | [
"IIIIZIIIZ",
"IIZIIIIIZ",
"ZIIIZIIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIZIIIZII",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZZIIII",
"IIIZIIZII",
"ZZIIIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"... | [
-0.25,
-0.75,
-0.25,
1.25,
-0.75,
-1.25,
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.25,
-0.75,
-0.25,
0.75,
-0.25,
-1,
0,
-1,
2,
0.25,
-1.5,
0.75
] | 0.993641 | [
1.516306984161729,
1.5770715449745634,
1.533778184675952,
1.632038848267938,
-1.5471335230832064,
-1.3209620156551498,
-0.22881298705678083,
0.19835338234569008,
0.0022335835759770746,
-0.1446095482429703,
0.1313641484193141,
-0.07455320949885036,
-0.10924030059404183,
-0.10448094640486925... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 1 |
a61196a27e9d77181b30595d54711c88 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "s... | {"states": [256, 1], "expectation_value": -18.58194899506546, "params": null, "bitstrings": ["011111111", "111111110"], "total_optimization_steps": 27, "probabilities": [0.15880617211805254, 0.8164186366713136], "optimization_time": 37.95767307281494} | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(0)) + -1.75 * (Z(7) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7593365234290921) q[0];
h q[1];
ry(-1.5186730468581842) q[1];
h q[2];
ry(-1.5186730468581842) q[2];
ry(-0.02606164722101131) q[3];
rz(-pi) q[3];
ry(-7.955699003038092e-08) q[4];
rz(-pi) q[4];
ry(-0.0260615986376298) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.518673... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIZIZI",
"ZIIIIIIZI",
"IIIZIIZII",
"IZIZIIIII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIZIIII",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIIIZII",
"... | [
-0.5,
-1.25,
-1.25,
-1,
-0.25,
-1.75,
2.25,
-0.25,
-0.75,
-0.75,
-1.25,
-0.5,
-0.5,
-1,
-1.25,
-0.75,
-1.25,
-0.5,
-1,
-1,
1.5,
-0.25,
-0.75,
-2.25,
1.25,
-0.75,
-2,
1.75,
1.5
] | 0.963627 | [
-1.5186730468581842,
1.570796401099004,
-0.8114599009084138,
-1.5707961460296473,
4.756531504520507e-8,
-0.05212326543140261,
-0.052123362598165635,
-2.0241651814443675e-7
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 197 |
9396e0c9eb600561a2275b0f49d5c223 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [3934, 3422], "expectation_value": -2.1076989330215326, "params": [[[1.7236, 0.0064, 0.0045000000000000005, 0.0045000000000000005], [0.2519, 0.0037, 1.4647000000000001, 0.008], [1.5985, 0.0046, 0.0064, 0.0059], [0.3579, -0.0001, 1.3734000000000002, 0.009600000000000001], [0.028900000000000002, 0.0007, 0.0038... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 12 | 12 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(3.2541237121426314) q[0];
rz(1.0555147404899403) q[0];
ry(0.020040124124250963) q[1];
rz(1.2660012497250481) q[1];
cz q[1], q[0];
ry(-3.0908158682384266) q[1];
ry(0.33184918478338987) q[2];
rz(0.4612559872347786) q[2];
ry(1.5194783362152378) q[3];
rz(-0.016626320663... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIIZZIIII",
"IIIIIIZZIIIZ",
"IIIIIZIIIIZI",
"IIIIZIIIIIZI",
"IIIIZZIII... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.... | 0.971228 | [
3.2541237121426314,
1.0555147404899403,
0.020040124124250963,
1.2660012497250481,
0.33184918478338987,
0.4612559872347786,
1.5194783362152378,
-0.016626320663513272,
-0.20448818807052813,
-0.6242762531170303,
1.462993523640422,
-0.35368836473538834,
0.12063766719757701,
0.6371218986325784,... | {
"n_parameters": 33,
"n_qubits": 12,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 46 |
22a94de1002e0d6d41a3223e7d8b4569 | 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": 9, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 7}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 1, "tar... | {"states": [391, 230], "expectation_value": -29.279694131280667, "params": [[0.0154, -0.039900000000000005, -0.0085, 0.001], [-0.0386, 0.0494, 0.055200000000000006, 0.0656]], "bitstrings": ["001111000", "100011001"], "total_optimization_steps": 10, "probabilities": [0.008444127937794617, 0.010309139617417862], "optimiz... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-81.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100011001"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.018803918222292024) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.018803918222292024) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.018803918222292024) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-0.018803918222292024) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIIZI",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16.5,
9,
19,
10,
8.5,
17.5,
14,
10.5,
-5.5
] | 0.978005 | [
-0.018803918222292024,
1.5941969511908811,
-0.8457615311102443,
1.5531584674778314,
1.5797839430751517,
-1.3831799448418733,
1.719160726069657,
1.5292813247974164,
-1.6499747686190398,
-1.2498139219776907,
-1.5701305232110854
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -81.5,
"target_ratio": 0.97,
"target_value": -79.05499999999999
} | 41 |
5e2a732b098851da922184712198063b | 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": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [142, 14], "expectation_value": -5.137496181975267, "params": [0.1386, 0.1305, 0.128, 0.1323, 0.0021000000000000003, 0.0085, -0.0019, -0.0036000000000000003, 0.2982, 0.3037, 0.2687, 0.2631, 0.2665, 0.2649, -0.0004, 0.0047, 0.1346, 0.13090000000000002, 0.12860000000000002, 0.1298, 0.0002, 0.001200000000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * Z(3) ... | 13 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.0, "smallest_bitstrings": ["11110010", "11110001", "01110011", "11010101", "00110111", "01010111", "10110101"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.18209737253695757) q[0];
rz(0.11153590173968458) q[0];
ry(-0.007515489168086813) q[1];
ry(-0.06252899642301067) q[2];
ry(-0.035548029625561965) q[3];
ry(0.30767995144433946) q[4];
ry(0.14372002788345095) q[5];
ry(0.38176452315810705) q[6];
ry(0.07406199122147034) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIZIII",
"IZIIIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IIIIZZII",
"ZIIIIZII",
"IIIIIZZI",
"IIZIZIII",
"IIZIIIZI",
"IIZIIZII",
"IIIZZIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1,
-1,
-2,
-1,
-1.5,
-1,
0
] | 0.972316 | [
0.18209737253695757,
-0.007515489168086813,
-0.06252899642301067,
-0.035548029625561965,
0.30767995144433946,
0.14372002788345095,
0.38176452315810705,
0.07406199122147034,
0.22307180347936917,
-0.0641252512518565,
0.16460025157433916,
-0.15044989701076472,
-0.2123414878667342,
0.191616376... | {
"n_parameters": 120,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 10 |
c43b926cf3238fe22ae61a940306f07f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "... | {"states": [0, 4035], "expectation_value": -21.860110559699375, "params": [0.14070000000000002, 1.9982000000000002, -0.10840000000000001, 0.0009000000000000001, -0.5954, -0.6804, 1.0879, 0.0063, -1.4127, 1.7101000000000002, 0.14170000000000002, 0.0059, -0.5607, 1.0051, -0.0115, 0.0012000000000000001, -0.625300000000000... | -1.5 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(6) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(6)) + -2.5 * (Z(7) @ Z(8)) + 1.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(9)) + -1.5 * (Z(10) @ Z(11)) + -2.5 * (Z(3) @ Z(11)) + -2.5 * (Z(3) @ Z(10)) + 0.5 * (Z(2) @ Z(11)) + 0.5 * (Z(2) @ Z(10)... | 6 | 12 | 1 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["000000111100"], "largest_eigenvalue": 33.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.06824608075860206) q[0];
rz(-2.5895584680717683) q[0];
rx(-0.4990023435636178) q[1];
rz(1.077945088599705) q[1];
rx(-3.111066145359411) q[2];
rz(3.0115353362964754) q[2];
rx(-0.26461936621012777) q[3];
rz(2.6775018887319035) q[3];
rx(-0.22377574582106327) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIIIIIZIIIZI",
"IIIIIIIIIIZZ",
"IIIZIZIIIIII",
"IIZZIIIIIIII",
"IIZIIZIIIIII",
"IIIZZIIIIIII",
"IIIIZZIIIIII",
"IIZIZIIIIIII",
"ZZIIIIIIIIII",
"ZIIIIIIIZIII",
"IZIIIIIIZIII",
"ZIIIIIIIIZII",
"IZIIIIIIIZII",
"IIIIIIIIZZII",
"ZIIIIIIZIIII",
"IZIIIIIZIIII",
"IIIIIIIZZ... | [
-1.5,
-1.5,
0.5,
-2.5,
-2,
-2.5,
-2.5,
1.5,
-2.5,
-1.5,
-2.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
1.5,
-2,
1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972148 | [
0.06824608075860206,
2.122830512312922,
-0.4990023435636177,
-0.4928512381951913,
-3.111066145359411,
1.4407390095015797,
-0.26461936621012777,
1.106705561937007,
-0.2237757458210633,
0.7230708096833075,
-0.1815448223560585,
0.8006664736330913,
0.004100601360687746,
1.9656378406012822,
0... | {
"n_parameters": 54,
"n_qubits": 12,
"optimal_eigenvalue": -27,
"target_ratio": 0.97,
"target_value": -26.189999999999998
} | 103 |
3881640076007148111 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 0, 2, 6], [1, 6, 7], [1, 3], [0, 8, 1, 6], [3, 5, 6], [8, 3, 6, 7], [2, 3], [0, 4], [8, 0, 7], [0, 8, 3, 5], [5, 7], [8, 2, 4, 6], [0, 2, 5, 6], [8, 3, 4, 5], [0, 3, 7]]} | {"states": [303, 301], "expectation_value": -2.068146613847877, "params": [1.2926, 1.2903, 0.604, 0.598, 0.6497, 0.6543, 1.0822, 1.0801, 0.5700000000000001, 0.5672, 1.0981, 1.0995000000000001, 1.2952000000000001, 1.2910000000000001, 0.6908000000000001, 0.6999000000000001, 1.2982, 1.2912000000000001, 0.0114, 0.0094, 0.1... | 0.41666666666666663 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.25 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(8)) + 0.25 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(8)) + 0.25 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(... | 13 | 9 | 1 | {"smallest_eigenvalues": [-4.083333333333334, -4.083333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.916666666666668, "smallest_bitstrings": ["011010010", "111001000"], "largest_eigenvalue": 13.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.4771681445020017) q[0];
rz(0.0854124382472719) q[0];
ry(-0.18385935764717323) q[1];
ry(0.1419205062216583) q[2];
ry(1.5027221621802755) q[3];
ry(-0.24860911657708434) q[4];
ry(1.4802792578179793) q[5];
ry(1.6991393071129555) q[6];
ry(-0.14577338951446692) 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": []} | [
"ZIIIIIIIZ",
"IIIIIIZIZ",
"ZIIIIIZII",
"IIZIIIIIZ",
"ZIZIIIIII",
"IIZIIIZII",
"IIIIIIIZZ",
"ZIIIIIIZI",
"IIZIIIIZI",
"IZIIIIIIZ",
"ZZIIIIIII",
"IZZIIIIII",
"IZIIIIIZI",
"IIIIIZIIZ",
"ZIIIIZIII",
"IIIIIZZII",
"IIZIIZIII",
"IIIIIZIZI",
"IZIIIZIII",
"IIIZIIIIZ",
"ZIIZIIIII",
"... | [
0.41666666666666663,
0.16666666666666666,
0.16666666666666666,
0.25,
0.3333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.25,
0.3333333333333333,
0.25,
0.25,
0.16666666666666666,
0.25,
0.25,
0.5,
0.25,
0.5,
0.25,
0.16666666666666666,
0.16666666666666666,
0.... | 0.979998 | [
1.4771681445020017,
-0.18385935764717323,
0.1419205062216583,
1.5027221621802755,
-0.24860911657708434,
1.4802792578179793,
1.6991393071129555,
-0.14577338951446692,
1.7325555349643476,
0.1708248764945438,
-0.10736656610440548,
-0.13133609747929692,
-0.01957013224336754,
-0.620944956824627... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -4.083333333333334,
"target_ratio": 0.97,
"target_value": -3.960833333333334
} | 15 |
84b91339520a2e133912f29f3a567751 | 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": [341, 361], "expectation_value": -38.83046096129271, "params": [[[0.4752, 0.22260000000000002], [0.5014000000000001, 0.40130000000000005], [0.4395, 0.3201], [0.4546, 0.31980000000000003], [0.5019, 0.2454], [0.4762, 0.2984], [0.4898, 0.4585], [0.35050000000000003, 0.4415], [0.21100000000000002, 0.213500000000... | 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(1) @ Z(3)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(0) @ Z(9)) + 13.5 * Z(3) + 11.0 * Z(2) + 13.5 * Z(1) + 8.0 * Z(4) + 1.0 * Z(5) + 7.5 * Z(6) + 0.5 * Z(7) + -5.5 *... | 15 | 10 | 4 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["1010010110"], "largest_eigenvalue": 114.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.46487477783556064) q[0];
ry(0.5116205448440455) q[1];
ry(0.0142830711978741) q[2];
ry(0.8628172849559117) q[3];
ry(0.7119910842826013) q[4];
ry(-0.0761487583047973) q[5];
ry(0.4312779604820611) q[6];
ry(0.2391358611755022) q[7];
ry(-0.10856737560409792) q[8];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IZIIIIIIZI",
"ZIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIIZ"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
13.5,
11,
13.5,
8,
1,
7.5,
0.5,
-5.5,
-0.5,
-4.5
] | 0.970721 | [
0.46487477783556064,
0.5116205448440455,
0.0142830711978741,
0.8628172849559117,
0.7119910842826013,
-0.0761487583047973,
0.4312779604820611,
0.2391358611755022,
-0.10856737560409792,
0.20919945584009186,
0.01821444309163893,
-0.05938475899967636,
-0.0378181377917079,
0.008708819742284433,... | {
"n_parameters": 77,
"n_qubits": 10,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 109 |
06224520ded029e940b1fde3f5ab3e3b | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": 3, "target": 5}]} | {"states": [56, 7], "expectation_value": -4.18713139493541, "params": [[-0.0636, -0.0596, -0.0315, -0.0175], [0.0702, 0.0761, 0.0654, 0.058300000000000005]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.04317831307293484, 0.045131488094671865], "optimization_time": 6.096151351... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 * ... | 12 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
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[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
1.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5
] | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
bce5ca5986693901af184e18507446b4 | 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": 7}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 6, "source": 2, ... | {"states": [127, 1], "expectation_value": -1.0905213046924112, "params": [[0.07250000000000001], [-0.0709]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.00594892281875072, 0.005994915342633824], "optimization_time": 1.9938883781433105} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(7) + -0.25 * Z(1) + -0.75 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.26551759312366496) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.24601808850036722) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.2106820697719629) q[3];
cx q[2], q[3];
h q[4];
cx q[2], q[4];
rz(-0.24601808850036722) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IIIIZZII",
"IIZIZIII",
"IIIZIZII",
"IIZZIIII",
"IIIZZIII",
"IZIIIZII",
"IZZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
0.5,
-1.5,
-1.75,
-1,
-1.25,
-1.5,
-1,
-1.5,
-0.5,
-1.75,
0.25,
-0.25,
0.5,
-0.25,
-0.75,
-3.75,
2,
2.25
] | 0.970878 | [
-0.26551759312366496,
0.5443980403728371,
-0.24601808850036722,
-0.2378127075115953,
-0.2106820697719629,
-0.20753145420696298,
0.003614311912416672,
-0.7751099775106872,
-0.3975432926107583,
-0.847716413634907,
-0.4217054509723286,
0.811719888820736,
-1.5077942636527142,
-0.28499579844100... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 157 |
22a94de1002e0d6d41a3223e7d8b4569 | matching | 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": 9, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 7}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 1, "tar... | {"states": [486, 230], "expectation_value": -69.66937342466717, "params": [0.7547, 0.4157, 1.5869, 0.0035, 1.5824, -0.0029000000000000002, 1.5813000000000001, 0.0044, 0.0027, -1.1801000000000001, 0.6959000000000001, -0.42700000000000005, 1.5786, 0.0023, 1.591, -0.21960000000000002, 0.5978, -0.4716, 0.7546, 0.0008, 1.58... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-81.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100011001"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.018803918222292024) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.018803918222292024) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.018803918222292024) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-0.018803918222292024) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIIZI",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16.5,
9,
19,
10,
8.5,
17.5,
14,
10.5,
-5.5
] | 0.978005 | [
-0.018803918222292024,
1.5941969511908811,
-0.8457615311102443,
1.5531584674778314,
1.5797839430751517,
-1.3831799448418733,
1.719160726069657,
1.5292813247974164,
-1.6499747686190398,
-1.2498139219776907,
-1.5701305232110854
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -81.5,
"target_ratio": 0.97,
"target_value": -79.05499999999999
} | 41 |
-1863440695494823104 | hypermaxcut | qaoa | {"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": [42, 29], "expectation_value": -0.05565604325035069, "params": [[0.0784], [-0.0779]], "bitstrings": ["010101", "100010"], "total_optimization_steps": 10, "probabilities": [0.01643274679476529, 0.016511873704453624], "optimization_time": 0.6244797706604004} | 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[... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], ... | null | {"circuits": [], "gradients": []} | [
"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 |
1d579e37a468bd880bcb1092848cc668 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 4, "source": 4, "target": 1... | {"states": [1, 63], "expectation_value": -0.3392059554205977, "params": [[-0.0088, -0.0658], [-0.037200000000000004, 0.0631]], "bitstrings": ["1111110", "1000000"], "total_optimization_steps": 10, "probabilities": [0.009179812953318338, 0.009179813865933941], "optimization_time": 2.193150520324707} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + 0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(6) + -2.0 * Z(3) + 0.0 * Z(2) + 2.0 * Z(4) + 1.0 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -4.25, "smallest_bitstrings": ["1101010", "1101000", "1001000", "1000000", "1100000", "1001010", "1011000", "1011010", "1111100", "1111110", "11110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6941259116557518) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.7530958440334765) q[3];
h q[4];
ry(1.6275648338062378) q[4];
cx q[4], q[3];
ry(0.7530958440334765) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.6941259116557518) q[0];
cx q[6], q[0];
ry(-0.3... | 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] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.5,
0.75,
-1,
-1,
-1,
-1,
-1,
-0.25,
0.25,
-2,
0,
2,
1
] | 0.975008 | [
1.6275648338062378,
-1.506191688066953,
-1.3882518233115035,
1.0437940616691472,
-0.6850023722970648,
0.430917419283484,
-0.20458261231373315,
0.03557786349020009,
-0.11303820837731039,
0.224256866592883,
-0.03744596523400791,
-0.08823505966052633,
0.07360138473543015
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
2df5083eec714b9fdc0c8843b7695063 | 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": 3, "source": 0, "t... | {"states": [109, 107], "expectation_value": -6.249170260349132, "params": [[0.057100000000000005], [-0.0601]], "bitstrings": ["10010010", "10010100"], "total_optimization_steps": 10, "probabilities": [0.0071390184157484595, 0.007307746705761654], "optimization_time": 1.6846632957458496} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 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)) + 1.5 * Z(0) + 12.5 * Z(2) + 13.5 * Z(1) + -2.0 * Z(3) + 6.0 * Z(4) + 8.0 * Z(5) + 11.0 * Z(6) + 10.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 105.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.02726385121418927) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.02726385121418927) q[1];
cx q[0], q[1];
rz(-1.6027682660398161) q[0];
rx(-1.644335621650184) q[0];
cx q[2], q[1];
rz(0.02726385121418927) q[1];
cx q[2], q[1];
h q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIZZIII",
"IIZIIIZI",
"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,
1.5,
12.5,
13.5,
-2,
6,
8,
11,
10
] | 0.980224 | [
0.02726385121418927,
-1.6027682660398161,
1.6612621026647572,
1.5140893262708621,
-1.4142046096662184,
1.5607466052674113,
-1.2355434411882795,
1.7777638269702782,
1.9424021471281856,
-1.6443356216501843,
0.5585330208204107,
0.006381188169456237,
1.8639243363114775,
-0.2903186153987083,
... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -54.5,
"target_ratio": 0.97,
"target_value": -52.865
} | 48 |
d972279ded7f316374e6dacb276633a3 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, ... | {"states": [0, 17], "expectation_value": -2.4136386792177156, "params": [[0.0751, 0.061700000000000005, 0.0664], [-0.085, -0.059300000000000005, -0.0511]], "bitstrings": ["11111111", "11101110"], "total_optimization_steps": 10, "probabilities": [0.011398193033401316, 0.012173394976131286], "optimization_time": 10.00353... | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.75 * (Z(6) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-8.75, -8.75, -8.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.75, "smallest_bitstrings": ["10000000", "11000000", "11101110"], "largest_eigenvalue": 11.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.13442413146705395) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.07286226668025671) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1861896832309193) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(-0.07286226668025671) q[2];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZZIIII",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IZIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"ZIIIIIII"
] | [
-1,
-0.5,
-0.25,
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-1,
-1.75,
2,
-1.25,
-1,
-0.5,
-0.25,
1,
0.25,
0.25,
0.75,
-1.25,
-0.25
] | 0.670838 | [
0.13442413146705395,
-0.07286226668025671,
-0.1861896832309193,
0.1849566279514951,
2.809786825153633,
-1.1485726075418965,
0.38576139094804596,
-1.4038660711190325,
-1.540477952854178,
1.5029054381745803,
1.162846184501586
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 322 |
cb501fbff3a682356b0923a44dd89d95 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [96, 112], "expectation_value": -6.834163226691475, "params": [-0.004200000000000001, -0.19110000000000002, -0.004200000000000001, 0.0032, 0.912, 0.40740000000000004, 0.9093, 0.0044, 0.9027000000000001, 0.3861, 0.9082, 0.006, 0.8061, 0.3519, 0.8038000000000001, 0.0049, -0.0043, 0.4985, -0.0045000000000000005... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["10001111", "10011011"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.12206877980165957) q[0];
rz(-0.26726813771505853) q[0];
rx(1.7130246120953307) q[1];
rz(0.4786467819367979) q[1];
rx(1.94020557954093) q[2];
rz(0.23747474658925416) q[2];
rx(1.9383622532413152) q[3];
rz(0.5130758081700177) q[3];
rx(0.0005438066793508473) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IZIIIIIZ",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIZIIIII",
"IZIIIIZI",
"ZIIIIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZZIIII",
"ZIIZIIII",
"IIIZIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IZIIIII... | [
0.5,
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,
-2,
-2,
-2,
-1.5,
-2.5,
-1,
-2
] | 0.975528 | [
-0.12206877980165957,
-0.2911166871377969,
1.7130246120953307,
0.5246409080467402,
1.9402055795409303,
0.3153792395479853,
1.9383622532413154,
0.26627077442356906,
0.0005438066793508473,
0.6383541901462093,
0.5866612565434145,
0.8320624834265804,
-0.08689630940827095,
-0.5660958393156564,
... | {
"n_parameters": 37,
"n_qubits": 8,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 27 |
6c729dfd5e7001e3a38620bc1dd3c2de | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [39, 45], "expectation_value": -1.5940259036337117, "params": [[-0.0641, -0.0656, -0.069, -0.0806], [0.07540000000000001, 0.0752, 0.0745, 0.07880000000000001]], "bitstrings": ["1011000", "1010010"], "total_optimization_steps": 10, "probabilities": [0.020859619578391, 0.020965389188197806], "optimization_time... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) + -1.5 * Z(2) + 0.0 * Z(1) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011000", "1010010"], "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(0.10758269301838308) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(0.10758269301838308) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.10758269301838308) q[2];
cx q[4], q[2];
rz(1.0158526286770417) q[4];
rx(-0.660651681254974... | 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": []} | [
"IIIZIIZ",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"ZIIIIIZ",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIIIZZI",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1,
-0.5,
-1.5,
0
] | 0.977959 | [
0.10758269301838308,
1.0158526286770422,
-1.0830236518770011,
-0.7797930592220781,
0.7529332076282363,
-0.6606516812549744,
-0.1660913770954591,
0.09088404394185104,
-0.5392296610982585,
-0.7289087446503865,
-0.6129435813348304,
0.3486533609480895,
0.5287619526337042,
0.17317995659263544,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 39 |
-7829104166610840793 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 7, 8], [8, 2, 3, 7], [8, 2, 5, 7], [0, 3, 5, 6, 7], [1, 2, 3, 5, 7], [0, 1, 5, 7], [0, 1, 2, 4, 6], [1, 2, 5, 6, 7]]} | {"states": [505, 493], "expectation_value": -1.146689224286854, "params": [[-0.4292], [0.4308]], "bitstrings": ["000000110", "000010010"], "total_optimization_steps": 50, "probabilities": [0.006652650579407081, 0.00715171023917965], "optimization_time": 5.829926490783691} | 0.18333333333333335 * (Z(0) @ Z(1)) + 0.1 * (Z(3) @ Z(1)) + 0.1 * (Z(3) @ Z(0)) + 0.23333333333333334 * (Z(7) @ Z(1)) + 0.18333333333333335 * (Z(7) @ Z(0)) + 0.23333333333333334 * (Z(7) @ Z(3)) + 0.05 * (Z(8) @ Z(1)) + 0.05 * (Z(8) @ Z(0)) + 0.13333333333333333 * (Z(8) @ Z(3)) + 0.21666666666666667 * (Z(8) @ Z(7)) + 0.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7500000000000004, -1.7500000000000004, -1.7500000000000004, -1.7500000000000004], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.75, "smallest_bitstrings": ["000111000", "000010110", "000010010", "010000101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.023209023965781745) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.0403056893760486) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0403056893760486) q[3];
cx q[0], q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(0.041181... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIZIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZIIZII",
"... | [
0.18333333333333335,
0.1,
0.1,
0.23333333333333334,
0.18333333333333335,
0.23333333333333334,
0.05,
0.05,
0.13333333333333333,
0.21666666666666667,
0.15000000000000002,
0.05,
0.13333333333333333,
0.26666666666666666,
0.16666666666666666,
0.18333333333333335,
0.13333333333333333,
0.... | 0.970285 | [
-0.023209023965781745,
0.0403056893760486,
0.04118170477286692,
-0.017497973495608728,
0.016403453266277915,
-0.04002032122945215,
-0.06188591298251782,
0.006224915949991019,
0.03608271369704998,
0.08200823997906474,
0.02790258844451681,
-1.6565061176996936,
-1.6042490351670098,
1.51219712... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -1.7500000000000004,
"target_ratio": 0.97,
"target_value": -1.6975000000000005
} | 114 |
723b73fdc30b23dba77c4958fef78f24 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [14, 53], "expectation_value": -0.2697807714933601, "params": [[0.059800000000000006, 0.0743], [-0.0405, -0.0611]], "bitstrings": ["1110001", "1001010"], "total_optimization_steps": 10, "probabilities": [0.009718802488813988, 0.010094788553745775], "optimization_time": 4.904099464416504} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(3) + 0.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.3213284069120986) q[0];
h q[1];
ry(1.561227557979563) q[1];
ry(-0.5996924930716909) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.3213284069120986) q[3];
h q[4];
cx q[4], q[0];
ry(0.3213284069120986) q[0];
cx q[4], q[0];
ry(-0.6920859783029909) q[0];
ry(0.858866298320... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IZIIZII",
"IZIIIIZ",
"IZIIIZI",
"IIIZZII",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0,
-1,
0,
-0.5,
0
] | 0.976117 | [
-1.5228681084041154,
-1.391331881335179,
1.561227557979563,
-0.6426568138241971,
0.4893931357312403,
-0.39231862825062086,
0.7389463251778208,
-0.5995347001047401,
0.3967606414427418,
0.38756318595233574,
-0.14652558977380725,
-0.24590209038459773,
0.14523805156870565,
0.8404560952239467,
... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 10 |
196315b726206c16207648eaa35c0326 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [213, 115], "expectation_value": -6.848862174268213, "params": [[-0.0165, 0.0443], [0.024800000000000003, -0.0315]], "bitstrings": ["00101010", "10001100"], "total_optimization_steps": 10, "probabilities": [0.005383630851609864, 0.00561257570128353], "optimization_time": 2.8159918785095215} | 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 9.5 * Z(0) + 14.0 * Z(3) + 19.5 * Z(1) + 18.5 * Z(2) + -3.5 * Z(4) + 10.0 * Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10001100"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.06579437411970868) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(0.06579437411970868) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(0.06579437411970868) q[2];
cx q[0], q[2];
rz(1.3818863173670621) q[0];
rx(1.6789722325759169) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIIZIIZI",
"IIZIIZII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
9.5,
14,
19.5,
18.5,
-3.5,
10,
6,
7.5
] | 0.971942 | [
0.06579437411970868,
1.3818863173670617,
-1.430694054691624,
-1.0860813172881838,
-1.3416416018551824,
1.3207437079855573,
0.7648822844099699,
-1.0241542868225488,
-1.2581957633969085,
1.6789722325759167,
0.7912843506403408,
1.4192679320226376,
1.8085449491890204,
1.3124424600724536,
1.4... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -64.5,
"target_ratio": 0.97,
"target_value": -62.565
} | 62 |
cfcf196786d6d074ade797fa6078553a | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [390, 389], "expectation_value": -4.895489662394993, "params": [0.0347, 0.2187, 0.027100000000000003, 0.2046, 0.3965, -0.0175, 0.4015, -0.0307, 0.399, -0.0287, 0.4035, -0.0302, 0.0049, -0.2877, 0.0047, -0.29100000000000004, 0.0054, -0.1902, -0.0019, -0.3023, 0.0039000000000000003, -0.2707, -0.0014, -0.3134, ... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(5)) + 0.5 ... | 5 | 10 | 3 | {"smallest_eigenvalues": [-6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.833333333333334, "smallest_bitstrings": ["1000101010", "1001111010", "1001111001", "10011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.38396551843230375) q[1];
cx q[2], q[1];
rz(-0.4140865431265359) q[1];
rx(1.4388351855267667) q[1];
rz(-0.4140865431265359) q[2];
rx(1.4388351855267667) q[2];
cx q[2], q[1];
rz(0.30052165692203675) q[1];
cx q[2], q[1];
rz(-0.8... | 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": 5} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIZIZIIIII",
"IIZIIIIIIZ",
"IIIIZIZIII",
"IIIIIIZIIZ",
"IIZIIIZIII",
"IIIIZZIIII",
"IIIIIZIIIZ",
"IIZIIZIIII",
"IIIIIZZIII",
"IZIIZIIIII",
"IZZIIIIIII",
"IZIIIIZIII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"ZIIIIIZIII",
"ZZIIIIIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIIZIIZIII"... | [
0.5,
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,
0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-1,
-1,
0.33333333333333337,
0,
0.33333333333333337,
1.5,
0,
-0.5,
1.5,
1.5,
-1.5,
0.6666666666666667,
0.6666666666666667
] | 0.970291 | [
0.034539384198122705,
0.1583793320365209,
0.13174966890782872,
0.023971881933780113,
0.38396551843230375,
0.9058271732652498,
-0.8544721743832904,
-0.8296736871253323,
-0.4140865431265362,
1.4388351855267667,
0.07083576534550291,
0.6657468360247684,
0.4231701738103223,
-0.5671362906981388,... | {
"n_parameters": 37,
"n_qubits": 10,
"optimal_eigenvalue": -6.166666666666667,
"target_ratio": 0.97,
"target_value": -5.9816666666666665
} | 261 |
da6f888553e0928bf84cb7c24eceee80 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 3, "source": 2, ... | {"states": [190, 63], "expectation_value": -7.1845020885551785, "params": null, "bitstrings": ["01000001", "11000000"], "total_optimization_steps": 56, "probabilities": [0.06538550728154405, 0.9345603366229585], "optimization_time": 64.81114506721497} | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(4)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -1.75 * Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["10000000", "11000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5177659963294788) q[0];
h q[1];
ry(-1.623404303532015) q[1];
h q[2];
ry(0.8202589649851039) q[2];
h q[3];
ry(0.7033685518814555) q[3];
h q[4];
ry(1.4889805032669121) q[4];
cx q[4], q[2];
ry(-0.8202589649851039) q[2];
cx q[4], q[2];
h q[5];
ry(0.84460063831... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIZZI",
"IIIZIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIZIIII",
"ZIIIZIII",
"IZZIIIII",
"IZIIIIZI",
"IZIZIIII",
"IZIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-0.25,
-0.75,
-0.5,
-0.75,
0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-1,
-0.75,
1,
-0.25,
-1.75,
1,
1.5,
-1.25,
-0.5,
0.25
] | 0.981536 | [
-1.623404303532015,
1.4889805032669121,
1.6405179299702077,
1.6168070806158488,
1.6892012766269737,
-1.0355319926589577,
1.0456182257691826,
1.406737103762911,
-0.7251973209355899,
0.22124766737700627,
-0.30348133941167,
0.18132166678998246,
-0.02893660445447417,
-0.06715041824588869,
0.... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 1 |
-5721678577940603186 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 4, 6, 10, 12], [1, 4, 6, 7, 12], [0, 1, 2, 3, 5, 7, 8, 9, 12], [0, 8, 10, 1], [0, 3, 4, 5, 6, 7, 11], [3, 5, 9, 10, 11, 12], [9, 4, 1, 7], [0, 2, 3, 5, 6, 7, 8, 9, 11, 12], [0, 3, 4, 9, 10], [1, 3, 6, 10, 11, 12], [0, 1, 4, 6, 9, 12], [1, 3, 4, 5,... | {"states": [5559, 5623], "expectation_value": -5.523339387807744, "params": [1.5710000000000002, 1.5664, 0.22870000000000001, 0.2295, 1.1432, 1.1401000000000001, 0.2087, 0.2142, 1.6536000000000002, 1.4936, 1.5690000000000002, 1.5663, 0.8785000000000001, 0.8766, 1.5689000000000002, 1.5691000000000002, 1.5686, 1.5682, 0.... | 0.342063492063492 * (Z(1) @ Z(4)) + 0.24841269841269842 * (Z(6) @ Z(4)) + 0.36626984126984125 * (Z(6) @ Z(1)) + 0.1753968253968254 * (Z(10) @ Z(4)) + 0.2972222222222222 * (Z(10) @ Z(1)) + 0.13293650793650794 * (Z(10) @ Z(6)) + 0.30396825396825394 * (Z(12) @ Z(4)) + 0.319047619047619 * (Z(12) @ Z(1)) + 0.338095238095238... | 13 | 13 | 1 | {"smallest_eigenvalues": [-5.8063492063492035], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.743253968253967, "smallest_bitstrings": ["0101000001000"], "largest_eigenvalue": 31.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.6700049861512223) q[0];
rz(-0.06946974263693052) q[0];
ry(0.07160089551545606) q[1];
ry(1.0325496809677412) q[2];
ry(0.11529983625599062) q[3];
ry(1.568676970805732) q[4];
ry(1.4566234760753993) q[5];
ry(1.101079039074055) q[6];
ry(1.6001104371621837) q[7];
ry(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": []} | [
"IIIIIIIIZIIZI",
"IIIIIIZIZIIII",
"IIIIIIZIIIIZI",
"IIZIIIIIZIIII",
"IIZIIIIIIIIZI",
"IIZIIIZIIIIII",
"ZIIIIIIIZIIII",
"ZIIIIIIIIIIZI",
"ZIIIIIZIIIIII",
"ZIZIIIIIIIIII",
"IIIIIZIIZIIII",
"IIIIIZIIIIIZI",
"IIIIIZZIIIIII",
"IIZIIZIIIIIII",
"ZIIIIZIIIIIII",
"IIIIIIIIZIIIZ",
"IIIIIIIIIII... | [
0.342063492063492,
0.24841269841269842,
0.36626984126984125,
0.1753968253968254,
0.2972222222222222,
0.13293650793650794,
0.30396825396825394,
0.319047619047619,
0.33809523809523806,
0.2373015873015873,
0.22261904761904763,
0.29126984126984123,
0.19563492063492063,
0.14007936507936505,
0... | 0.972203 | [
1.6700049861512223,
0.07160089551545606,
1.0325496809677412,
0.11529983625599062,
1.568676970805732,
1.4566234760753993,
1.101079039074055,
1.6001104371621837,
1.255143165107338,
0.03287520110781751,
1.4260559612266936,
1.638721944022594,
1.4122446544382379,
-0.13893948527386105,
-0.0593... | {
"n_parameters": 50,
"n_qubits": 13,
"optimal_eigenvalue": -5.8063492063492035,
"target_ratio": 0.97,
"target_value": -5.632158730158727
} | 4 |
9e72b7dd0d69a46b7f007aaed5517323 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [6, 7], "expectation_value": -3.505790072580555, "params": [[[0.1951, -0.2952], [0.302, -0.2548], [0.30670000000000003, -0.2605], [0.7884, 0.0014], [0.781, 0.0008], [0.5840000000000001, 0.0182]], [[0.1978, -0.29510000000000003], [0.29760000000000003, -0.2549], [0.30820000000000003, -0.2605], [0.7933, 0.0014]... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.25
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
-2458627907467398318 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[4, 5], [0, 4], [2, 5], [1, 3]]} | {"states": [57, 49], "expectation_value": -0.03254883932354942, "params": [[[1.7025000000000001, 0.004200000000000001], [1.7322000000000002, 0.0002], [1.4836, 0.0066], [1.393, 0.006200000000000001], [1.454, 0.0014], [1.6759000000000002, 0.0057]]], "bitstrings": ["000110", "001110"], "total_optimization_steps": 180, "pr... | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["110001", "100101", "001110", "011010"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(3.1498647044228827) q[0];
rz(1.0275517859378955) q[0];
rx(3.0434108636750685) q[1];
rz(-1.2615753283676772) q[1];
rx(0.13728111243922125) q[2];
rz(-0.6317390697821637) q[2];
rx(0.049460700154926235) q[3];
rz(0.05969368589954577) q[3];
rx(0.24736280122343762) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"ZZIIII",
"IZIIIZ",
"ZIIZII",
"IIZIZI",
"ZIIIII",
"IZIIII",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.974522 | [
3.1498647044228827,
1.0275517859378955,
3.0434108636750685,
-1.2615753283676772,
0.13728111243922125,
-0.6317390697821637,
0.049460700154926235,
0.05969368589954577,
0.24736280122343762,
-1.7305376013547338,
3.3032572019850623,
1.3296281036872712
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 18 |
743010493550951172 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 9, 10], [2, 6, 7, 11, 12], [1, 12], [3, 12], [0, 4], [12, 5], [8, 6]]} | {"states": [4167, 4199], "expectation_value": -2.4407681008630773, "params": [1.2993000000000001, 1.3054000000000001, 0.1718, 0.1434, 0.4555, 0.6716000000000001, 0.152, 0.1024, 0.2596, 0.2745, 0.1608, 0.09620000000000001, 1.23, 1.2930000000000001, 0.6893, 1.2931000000000001, 0.2812, 0.278, 0.8096, 0.8533000000000001, 1... | 0.16666666666666666 * (Z(0) @ Z(9)) + 0.16666666666666666 * (Z(10) @ Z(9)) + 0.16666666666666666 * (Z(10) @ Z(0)) + 0.05 * (Z(2) @ Z(6)) + 0.05 * (Z(7) @ Z(6)) + 0.05 * (Z(7) @ Z(2)) + 0.05 * (Z(11) @ Z(6)) + 0.05 * (Z(11) @ Z(2)) + 0.05 * (Z(11) @ Z(7)) + 0.05 * (Z(12) @ Z(6)) + 0.05 * (Z(12) @ Z(2)) + 0.05 * (Z(12) @... | 14 | 13 | 1 | {"smallest_eigenvalues": [-3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.033333333333333, -3.03333333333... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.6525582130001024) q[0];
rz(pi/2) q[0];
ry(-0.006673989094942639) q[1];
ry(-0.00030056516399694366) q[2];
ry(-0.1983434327045681) q[3];
ry(0.044494973303458835) q[4];
ry(0.16858156599781346) q[5];
ry(1.484589880013897) q[6];
ry(1.1404522674144175) q[7];
ry(-0.20895... | 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": []} | [
"IIIZIIIIIIIIZ",
"IIZZIIIIIIIII",
"IIZIIIIIIIIIZ",
"IIIIIIZIIIZII",
"IIIIIZZIIIIII",
"IIIIIZIIIIZII",
"IZIIIIZIIIIII",
"IZIIIIIIIIZII",
"IZIIIZIIIIIII",
"ZIIIIIZIIIIII",
"ZIIIIIIIIIZII",
"ZIIIIZIIIIIII",
"ZZIIIIIIIIIII",
"ZIIIIIIIIIIZI",
"ZIIIIIIIIZIII",
"IIIIIIIIZIIIZ",
"ZIIIIIIZIII... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666663,
0.16666666666666666,
0.09999999999999998,
0.1,
0.1,
0.1,
0.09999999999999987... | 0.974098 | [
1.6525582130001024,
-0.006673989094942639,
-0.00030056516399694366,
-0.1983434327045681,
0.044494973303458835,
0.16858156599781346,
1.484589880013897,
1.1404522674144175,
-0.20895340705022827,
0.6337311685658609,
1.5350852665655244,
1.2097894160992984,
1.0686326948913358,
1.721681071487455... | {
"n_parameters": 52,
"n_qubits": 13,
"optimal_eigenvalue": -3.033333333333333,
"target_ratio": 0.97,
"target_value": -2.942333333333333
} | 34 |
cf866b0685f0f2b92fc41e952765f334 | 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": 1}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [1, 31], "expectation_value": -1.4706114270999422, "params": [[-0.1736], [0.1736]], "bitstrings": ["1111110", "1100000"], "total_optimization_steps": 20, "probabilities": [0.01779706525011763, 0.019151563011821096], "optimization_time": 1.942373275756836} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(2) + 0.25... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100000", "1101000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4389876603721047) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.3936411233317491) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(0.4389876603721047) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(0.4389876603721047) q[2];
cx q[3], q[2];
h ... | 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIIZZI",
"IIIZZII",
"ZIIIIIZ",
"ZIIIZII",
"IIZZIII",
"IIZIZII",
"ZIZIIII",
"IZIIIZI",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.75,
1,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1.25,
-0.25,
-0.75,
1.5,
0.25,
-0.5,
1
] | 0.619308 | [
0.4389876603721047,
0.3936411233317491,
-0.9640592261572137,
0.3473169744588019,
0.9763395609882711,
-0.671208939863871,
-0.6920954321912673,
0.9887089718505631
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 188 |
016775dde850e8af4723e497734ae990 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [108, 76], "expectation_value": -4.414201734690429, "params": [0.0007, -0.1134, 2.3067, 0.0031000000000000003, 1.4535, -0.2242, 0.0178, 0.0037, 2.3066, -0.0031000000000000003, 2.2757, -0.0037, 0.3037, -0.0004, -0.0018000000000000002, 0.0018000000000000002, 0.0047, 0.8603000000000001, -0.5571, -0.0125, 0.869,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(6) + ... | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.0, "smallest_bitstrings": ["10110011", "10110101", "11100101", "01011110", "10010111", "01001111", "11000111"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.015492804233453956) q[0];
rz(1.194662995214216) q[0];
rx(3.1335249443882773) q[1];
rz(1.3337446224696947) q[1];
rx(0.4727127811132122) q[2];
rz(1.3329665555676895) q[2];
rx(-0.3023512210891472) q[3];
rz(1.599316754836254) q[3];
rx(2.42667493666599) q[4];
rz(1.8689... | 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",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIIZIII",
"IZIIIZII",
"IZZIIIII",
"IIZIZIII",
"ZIZIIIII",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII"
] | [
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,
-0.5,
-1,
-1,
-1.5,
-0.5,
-1.5
] | 0.978772 | [
-0.015492804233453956,
-0.37613333158067974,
3.1335249443882773,
-0.2370517043252016,
0.47271278111321224,
-0.23782977122720717,
-0.3023512210891472,
0.02852042804135716,
2.42667493666599,
0.2981959158226209,
2.9390036091875165,
-0.4454423536186817,
0.6004473388057012,
0.12183762776911534,... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 13 |
e776e7ca61722eeb2742e447edcfe87e | 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": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [128, 3], "expectation_value": -2.8257457642169976, "params": [[0.0713, 0.061900000000000004], [-0.08080000000000001, -0.07200000000000001]], "bitstrings": ["01111111", "11111100"], "total_optimization_steps": 10, "probabilities": [0.009000588640662905, 0.00941675711156599], "optimization_time": 3.1664371490... | -0.25 * (Z(0) @ Z(5)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(5)) + -1.25 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -2.25 * Z(5) + -0.25 * Z(0) + 3.0 * Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["10001100", "11111100"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.034122336178231724) q[0];
h q[1];
ry(0.8302250352322847) q[1];
h q[2];
ry(0.8302250352322847) q[2];
h q[3];
ry(0.8302250352322847) q[3];
ry(-0.018743600585612252) q[4];
rz(-pi) q[4];
ry(-0.010377398900047474) q[5];
rz(-pi) q[5];
h q[6];
ry(1.66339586... | 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": []} | [
"IIZIIIIZ",
"IZZIIIII",
"IZIIIIIZ",
"IIZIIZII",
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZIIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
-0.25,
-1.25,
-0.5,
-1.25,
-1.25,
-0.5,
-1.75,
-0.5,
-1.25,
-1.25,
1,
-1,
-2.25,
-0.25,
3,
0.5,
2.75,
-0.75,
-3,
0
] | 0.996088 | [
1.6633958676674003,
1.6604500704645695,
1.5726364930700092,
-1.5381559222144467,
-1.4640852504813424,
-1.5109462333724724,
-0.17593495145588436,
-0.09894538904475342,
-0.13352548151736307,
0.04487367811379654,
-0.07630612422321119,
0.00679707587567183,
0.025077255090628234,
-0.146377886311... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 1 |
2877266274159787005 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3], [4, 5], [0, 1, 2, 5, 6]]} | {"states": [82, 114], "expectation_value": -1.1166079826734268, "params": null, "bitstrings": ["0101101", "0001101"], "total_optimization_steps": 48, "probabilities": [0.12271516172040821, 0.13297342510427818], "optimization_time": 64.01457357406616} | 0.5 * (Z(2) @ Z(3)) + 0.05 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.05 * (Z(0) @ Z(2)) + 0.05 * (Z(0) @ Z(5)) + 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(5)) + 0.05 * (Z(1) @ Z(0)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(5)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(1)) + 0.0 * Z(3) + 0.1000000000000002 * Z(2) + 0.100... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002], "number_of_smallest_eigenvalues": 12, "fi... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-0.37332961505649576) q[3];
cx q[2], q[3];
ry(0.37332961505649576) q[3];
cx q[2], q[3];
ry(1.4109684838415342) q[2];
ry(-0.8674200931919896) q[3];
h q[4];
ry(-0.37332961505649576) q[4];
h q[5];
cx q[5], q[4];
ry(0.37332961505649576) q[... | 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];\ncry(-1.0342) q[5], 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... | [
"IIIZZII",
"IZIIZII",
"IZZIIII",
"IIIIZIZ",
"IZIIIIZ",
"IIIIZZI",
"IZIIIZI",
"IIIIIZZ",
"ZIIIZII",
"ZZIIIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.05,
0.5,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0,
0.1000000000000002,
0.1000000000000002,
0,
0.1,
0.1,
0.1
] | 0.97342 | [
-0.7466592301129915,
1.1264947838514394,
-0.9053949147225867,
1.2855237806808655,
-0.6947591223062906,
0.25088940632133777,
0.3671219168887397,
-0.3453219417713984,
-0.2489404389468507,
0.05074465332914011,
0.13643648118247736,
0.14565844189293492,
-0.011063965323478309,
-0.066832876582277... | {
"n_parameters": 44,
"n_qubits": 7,
"optimal_eigenvalue": -1.2000000000000002,
"target_ratio": 0.97,
"target_value": -1.1640000000000001
} | 22 |
7f226d208153dcfb632077c65c1f90bf | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 6}, {"source": 3, "target": 7},... | {"states": [0, 1987], "expectation_value": -14.68329409301424, "params": [0.4118, 0.6573, -0.3042, 0.5694, 0.42710000000000004, 0.6203000000000001, -0.1226, 0.9569000000000001, 0.4369, 0.8117000000000001, -0.4056, 0.5916, -0.44260000000000005, 0.6221, 0.328, 0.7956000000000001, -0.4267, 0.5670000000000001, -0.3267, 0.7... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.5 * (Z(7) @ Z(8)) + -2.5 * (Z(5) @ Z(8)) + 1.0 * (Z(5) @ Z(7)) + 1.0 * (Z(6) @ Z(8)) + -2.5 * (Z(6) @ Z(7)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(9) @ Z(2)) + -2.0 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(10)) + ... | 6 | 11 | 4 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000111100"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.1342171824925862) q[0];
rz(2.0942427452686783) q[0];
rx(0.29543093206360016) q[1];
rz(0.9781141379179479) q[1];
rx(0.8491535880238071) q[2];
rz(-2.6641097231534197) q[2];
rx(-0.16142880578884908) q[3];
rz(2.46801461687833) q[3];
rx(-0.6800787280262504) q[4];
rz(2.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIZZIIIIIII",
"IIZIIZIIIII",
"IIIZIZIIIII",
"IIZIZIIIIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"ZIIIIIIZIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIZIIIIIIII",
"IIIZIIIII... | [
-1.5,
0.5,
-1.5,
-2.5,
-2.5,
1,
1,
-2.5,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
1,
1,
0.5,
0.5,
0.5,
0.5
] | 0.943505 | [
0.13421718249258618,
0.5234464184737817,
0.29543093206360016,
-0.5926821888769487,
0.8491535880238072,
2.0482792572312705,
-0.1614288057888491,
0.8972182900834331,
-0.6800787280262502,
0.8621878928152058,
-0.03794492075220762,
1.2037165229923057,
0.04997363028017292,
-0.5122815041833169,
... | {
"n_parameters": 211,
"n_qubits": 11,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 500 |
47c90a1844bb68a81c49cc01fe4989e8 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [239, 255], "expectation_value": -24.000657040259114, "params": [0.0009000000000000001, -0.3926, -0.003, -0.4884, -0.0038, -0.4998, 0.0011, -0.5085000000000001, 0.527, -0.0067, 0.5318, -0.016900000000000002, 0.5303, 0.0079, 0.5335, 0.0005, 0.5275000000000001, 0.0115, 0.5263, -0.0013000000000000002, -0.2883, ... | 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 2.0 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z... | 5 | 10 | 3 | {"smallest_eigenvalues": [-24.833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.833333333333332, "smallest_bitstrings": ["1100000000"], "largest_eigenvalue": 55.166666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1813424485071628) q[0];
cx q[1], q[0];
rz(-0.12463552154992241) q[0];
rx(-1.2421529423468263) q[0];
rz(-0.2544248103281359) q[1];
rx(-1.2421529423468265) q[1];
cx q[1], q[0];
rz(-3.2205034676259676) q[0];
cx q[1], q[0];
rz(1.4810378... | 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": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZZ",
"IIIIIZIIII",
"IIIIIIIZII"... | [
0.5,
1,
2,
0.5,
1,
1,
2,
2,
-0.5,
-1,
-0.5,
-1,
0.5,
1,
0.5,
1,
0.5,
-0.3333333333333333,
2,
4.5,
9,
5,
10,
-2,
2.5,
2.5,
-1,
-0.5
] | 0.950569 | [
0.06583836217984403,
0.02424617956702617,
0.02628092965861942,
-0.12463552154992238,
-0.25442481032813585,
-0.1813424485071628,
1.6448560843536073,
1.9812957884316302,
1.6043223553640227,
2.003992131822368,
1.9286176302370583,
1.298515420062773,
-1.2421529423468265,
-0.6759533731163639,
... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -24.833333333333336,
"target_ratio": 0.97,
"target_value": -24.088333333333335
} | 500 |
53443c2554b7b29b1b1ebf9166c92779 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 2, "target": 1}, {"capac... | {"states": [1022, 511], "expectation_value": -8.569970675940764, "params": [[[-0.0055000000000000005, -0.008], [-0.0054, 0.4539], [-0.003, 0.0035], [-0.0022, -0.0019], [-0.0077, 0.0022], [-0.0028, -0.0031000000000000003], [-0.0055000000000000005, -0.0029000000000000002], [-0.0027, -0.0026000000000000003], [-1.2917, -0.... | -0.75 * (Z(0) @ Z(7)) + -0.75 * (Z(2) @ Z(7)) + -1.0 * (Z(1) @ Z(2)) + -0.75 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(3)) + -0.75 * (Z(4) @ Z(8)) + -1.5 * (Z(5) @ Z(8)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ ... | 15 | 10 | 3 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.11956120122098914) q[0];
ry(-0.04370367350746228) q[1];
ry(-0.025014918622179416) q[2];
ry(-0.012326157059042369) q[3];
ry(0.16326480642292773) q[4];
ry(-0.17499814653539206) q[5];
ry(-0.11956120122098914) q[6];
ry(0.2727522072439568) q[7];
ry(-1.594958073467961)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIIIIIIZZI",
"ZIZIIIIIII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"IIZIIIZIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZIIZIIIII",
"IIIZIIIZII",
"IZIZIIIIII",
"IIZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"ZIIIIIIIII",
"IIIIIIZIII"... | [
-0.75,
-0.75,
-1,
-0.75,
1,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
-1.5,
-0.75,
-0.5,
-0.25,
-0.25,
0,
0,
-1,
0.25,
-0.75,
0.75,
0,
1.25
] | 0.971431 | [
-0.11956120122098914,
-0.04370367350746228,
-0.025014918622179416,
-0.012326157059042369,
0.16326480642292773,
-0.17499814653539206,
0.2727522072439568,
-1.594958073467961,
0.6247488271193116,
0.01986570068355313,
0.05418847882080458,
-0.05423152138451008,
0.0011793187827736328,
0.00456228... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 91 |
3b06cb30ced0c2f8bd5bf344157cda95 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 2, "target": 8}, {"sour... | {"states": [84, 116], "expectation_value": -4.34247356588831, "params": [[[0.14500000000000002, 0.381], [0.27490000000000003, 0.2998], [0.9005000000000001, -0.0007], [0.8667, -0.0016], [0.9002, 0.0015], [0.6970000000000001, -0.0886], [0.909, 0.0011], [-0.0027, -0.4424], [0.00030000000000000003, -0.4626]], [[0.145500000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 *... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["010011011", "101001011", "110001011", "110100011", "010110011", "101100011"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(0.07155216325411962) q[0];
ry(0.08933752271375126) q[0];
rz(-0.3094518562973225) q[0];
rz(-1.560761638335658) q[1];
ry(0.1212964266066955) q[1];
rz(2.097469547818463) q[1];
rz(-0.5882608583894591) q[2];
ry(2.7624261574502516) q[2];
rz(2.5697187499414307) q[2];
rz(1.9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIIZ",
"IZIIIIIIZ",
"IZIIZIIII",
"IIIIIIZZI",
"ZIIIZIIII",
"ZIIIIIZII",
"IZIIIZIII",
"ZIIIIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZIZIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-2,
-0.5,
-1.5,
-1,
-1,
0
] | 0.972628 | [
-0.4174465379478302,
-0.21391608329863318,
-0.05609641235605032,
0.018635002810179213,
1.6625064003588361,
-0.31534897405480844,
1.4419592033605932,
0.15774511746383024,
1.8472597511212223,
0.37860275198528637,
-0.46246579306214425,
-0.3171938420430979,
1.4727826558871835,
-0.1899277231822... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 20 |
5463976637697435311 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 5, 6, 7], [0, 1, 3, 4, 5, 6], [0, 2, 3, 4, 5, 6, 7], [1, 2, 3, 4, 5, 7]]} | {"states": [62, 31], "expectation_value": -0.3413862386246953, "params": [[-0.39530000000000004], [0.3809]], "bitstrings": ["11000001", "11100000"], "total_optimization_steps": 40, "probabilities": [0.00622281595850107, 0.006222815958501071], "optimization_time": 42.958617210388184} | 0.08333333333333334 * (Z(1) @ Z(2)) + 0.10714285714285715 * (Z(5) @ Z(2)) + 0.11666666666666667 * (Z(5) @ Z(1)) + 0.07380952380952381 * (Z(6) @ Z(2)) + 0.08333333333333334 * (Z(6) @ Z(1)) + 0.10714285714285715 * (Z(6) @ Z(5)) + 0.10714285714285715 * (Z(7) @ Z(2)) + 0.08333333333333334 * (Z(7) @ Z(1)) + 0.10714285714285... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.790476190476191], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.7904761904761908, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 4.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(1.83864543256844e-07) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(8.009266725129352e-07) q[5];
cx q[2], q[5];
cx q[1], q[5];
rz(-3.1415915902295803) q[5];
cx q[1], q[5];
h q[6];
cx q[2], q[6];
rz(-5.0085255983... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIZIIZII",
"IIZIIIZI",
"IZIIIZII",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZIZ",
"IIIIIIZZ",
"IIZIIIIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIIIZZII",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"ZIIIZIII",
"IIIIZIIZ",
"IIIZIZII",
"IIIZIIZ... | [
0.08333333333333334,
0.10714285714285715,
0.11666666666666667,
0.07380952380952381,
0.08333333333333334,
0.10714285714285715,
0.10714285714285715,
0.08333333333333334,
0.10714285714285715,
0.07380952380952381,
0.023809523809523808,
0.03333333333333333,
0.05714285714285714,
0.05714285714285... | 0.957831 | [
1.83864543256844e-7,
8.009266725129352e-7,
-3.1415915902295803,
-5.008525598398776e-8,
0.0019017805133417754,
-0.000003495792987523419,
2.0279259376196986e-7,
-4.728500023333355e-7,
-2.9173360208127283e-7,
-1.5707960475861376,
1.5707950338191854,
-1.5707968941782473,
1.570797840464024,
-1.... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -0.790476190476191,
"target_ratio": 0.97,
"target_value": -0.7667619047619052
} | 485 |
6566101714083330160 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 9], [11, 3, 5], [8, 1, 2], [4, 6], [1, 11], [6, 7], [2, 10], [9, 3], [2, 11], [8, 4, 7], [10, 11, 7], [0, 3, 4], [10, 3]]} | {"states": [246, 1270], "expectation_value": -4.308245152634996, "params": [[[0.4559, -0.0033, 0.004200000000000001, 0.003], [0.46680000000000005, 0.0035, 1.57, 0.005], [1.1480000000000001, -0.0022, -1.0167000000000002, 0.0051], [0.45790000000000003, 0.0027, 2.4686, 0.004], [1.4506000000000001, 0.0015, 1.69600000000000... | 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(5) @ Z(11)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(10)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) +... | 11 | 12 | 1 | {"smallest_eigenvalues": [-4.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.333333333333333, "smallest_bitstrings": ["101100001001"], "largest_eigenvalue": 9.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.2681911464644333) q[0];
rz(0.36601128013675654) q[0];
ry(0.24782238569582563) q[1];
rz(0.048735942969996934) q[1];
cx q[1], q[0];
ry(2.4548661590611105) q[1];
rz(-0.08503022731512346) q[1];
ry(1.2673184457545266) q[2];
rz(-0.01276608336913154) q[2];
ry(0.343463696... | 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": []} | [
"ZZIIIIIIIIII",
"ZIIIIIZIIIII",
"IIIIIIZIZIII",
"IIIIZIZIIIII",
"IIIIZIIIZIII",
"IZIIIIIIIIZI",
"IIIIIIIIZIZI",
"IZIIIIIZIIII",
"IIIIIIIZZIII",
"IIIIIIIZIIZI",
"IZIIIZIIIIII",
"IIIIIZZIIIII",
"IIIZIZIIIIII",
"IZZIIIIIIIII",
"IIZIIIIIZIII",
"IIZIIZIIIIII",
"IIZZIIIIIIII",
"IIIIIIZII... | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.166666666666... | 0.971793 | [
0.2681911464644333,
0.36601128013675654,
0.24782238569582563,
0.048735942969996934,
1.2673184457545266,
-0.01276608336913154,
0.3434636968093817,
0.2553989649577329,
1.457219775324265,
0.14166918818425722,
0.03922525092090835,
-1.4120519981779198,
1.5878716200932699,
-0.06437930150475721,
... | {
"n_parameters": 40,
"n_qubits": 12,
"optimal_eigenvalue": -4.666666666666666,
"target_ratio": 0.97,
"target_value": -4.526666666666666
} | 23 |
e0dccd63ccb6f94570f2b46361c692e0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [183, 165], "expectation_value": -4.999403499668487, "params": null, "bitstrings": ["101001000", "101011010"], "total_optimization_steps": 32, "probabilities": [0.12498082643107074, 0.12498082643107074], "optimization_time": 39.36949372291565} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(3)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.75 * Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["101001010", "101011110", "101011100", "101011010", "101011000", "101001110", "101001100", "101001000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(0.05839614278337155) q[0];
rz(pi/2) q[0];
ry(0.007699594208596339) q[1];
ry(0.6368929387613436) q[2];
ry(-0.305948830476148) q[3];
ry(0.8279255936715874) q[4];
ry(0.6687371386581469) q[5];
ry(0.6083275044008217) q[6];
ry(-0.030249047403171775) q[7];
ry(0.73392389059... | 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(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZIIIIZI",
"IIZZIIIII",
"IIIIZZIII",
"IZIIIZIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIZIIIIII",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
0.75,
-0.5,
0,
-0.25,
0.75,
0.75,
-1,
0,
-0.25,
-0.25,
0.25
] | 0.970135 | [
0.05839614278337155,
0.007699594208596339,
0.6368929387613436,
-0.305948830476148,
0.8279255936715874,
0.6687371386581469,
0.6083275044008217,
-0.030249047403171775,
0.7339238905999639,
0.40545979371793645,
0.47414350168779645,
1.0184967181303088,
-0.11619730788514432,
0.1838879214229425,
... | {
"n_parameters": 168,
"n_qubits": 15,
"optimal_eigenvalue": -15.749999999999945,
"target_ratio": 0.97,
"target_value": -15.277499999999947
} | 37 |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 109.70048141479492} | 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) ... | 1 | 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[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
9f43fe75b2280c840369a5d99b502e49 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [50, 14], "expectation_value": -0.6343334331207244, "params": [[-0.0632, -0.0707], [0.0747, 0.0758]], "bitstrings": ["1001101", "1110001"], "total_optimization_steps": 10, "probabilities": [0.011132912341904961, 0.01155452780751289], "optimization_time": 5.92709493637085} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(5) + -1.0 * Z(4) + -0.5 * Z(1) + -1.5 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1110001", "1010101", "1001101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.13798124840612863) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.13798124840612863) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.13798124840612863) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.13798124840612863) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IZIIIIZ",
"IIZIZII",
"IIZIIZI",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-1,
-0.5,
-1.5
] | 0.833582 | [
0.13798124840612863,
1.1427837653768327,
-1.8894360710812084,
1.440063164765446,
1.845482091247767,
-1.5875174889768033,
3.8510997105473463,
-1.0746530285980647,
2.8299754779374093,
0.45330398543812134
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 298 |
0f435eed505f807fb8dc44643dfd43ce | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target"... | {"states": [0, 1], "expectation_value": -19.859615999629177, "params": [[[-0.0011, -0.2369], [0.0024000000000000002, 0.23020000000000002], [0.0025, 0.2277], [0.0025, 0.2253], [0.4078, 0.0019]], [[0.0024000000000000002, -0.2026], [0.0015, 0.2303], [0.0022, 0.2262], [0.0033, 0.2247], [0.4053, 0.002]], [[-0.00340000000000... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.25 * Z(1) + -8.5 * Z(0) + -8.25 * Z(2) + -8.25 * Z(3) + -7.75 * Z(4) | 1 | 5 | 4 | {"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] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"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 |
4914270367321221261 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 7], [3, 6], [1, 2, 6], [3, 4, 5], [1, 5, 6], [0, 2, 4, 5]]} | {"states": [244, 47], "expectation_value": -0.5639147007557146, "params": [[0.27340000000000003], [-0.2816]], "bitstrings": ["00001011", "11010000"], "total_optimization_steps": 30, "probabilities": [0.008809225837689888, 0.008841874041100404], "optimization_time": 2.541527509689331} | 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.166666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.1666666666666665, "smallest_bitstrings": ["00001011", "11010000"], "largest_eigenvalue": 5.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[3];
rz(0.9953895837448982) q[3];
cx q[7], q[3];
cx q[3], q[6];
rz(0.9953895837448982) q[6];
cx q[3], q[6];
cx q[3], q[4];
rz(0.08070128225960485) q[4];
cx q[3], q[4];
cx q[3], q[5];
rz(0.08070128... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} | [
"ZIIIZIII",
"IZIIZIII",
"IZIIIIZI",
"IZIIIZII",
"IIIIIZZI",
"IIIZZIII",
"IIIZIZII",
"IIZIZIII",
"IZZIIIII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IIIIIII... | [
0.5,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0,
0.166666666666... | 0.58998 | [
0.9953895837448982,
0.39176283978864757,
0.08070128225960485,
0.06491066745415437,
0.06593306821590429,
-0.063941074913406,
1.3960874769298195,
1.4543996195250863,
-1.4185420548745262,
-0.8891862061643476
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 251 |
8c44c442a25e00dfae4e1647b2faf79f | edge_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": [14, 26], "expectation_value": -0.31543648151069215, "params": [[0.0711, 0.0751, 0.07590000000000001], [-0.0487, -0.0655, -0.06910000000000001]], "bitstrings": ["110001", "100101"], "total_optimization_steps": 10, "probabilities": [0.022970369283817238, 0.022970369283817238], "optimization_time": 3.563954830... | 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 | 3 | {"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[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"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 |
756d3d75bc595261d2d71e6ce1da2290 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, {"source": 4, "target": 6}, ... | {"states": [60, 108], "expectation_value": -3.999089679918524, "params": null, "bitstrings": ["1000011", "0010011"], "total_optimization_steps": 32, "probabilities": [0.06552749627239239, 0.933832594648185], "optimization_time": 33.96661925315857} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0010011", "1000011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-pi) q[1];
ry(-3.1338857358335) q[1];
h q[2];
ry(-0.5495864328688317) q[2];
cx q[0], q[2];
ry(0.5495864328688317) q[2];
cx q[0], q[2];
ry(1.072113664172264) q[0];
ry(-0.6043302756706039) q[2];
h q[3];
ry(1.5675370816886918) q[3];
h q[4];
ry(1.5670727524580514... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZZIIIII",
"IZIIIZI",
"IZIZIII",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
-1,
0,
0,
0
] | 0.995006 | [
-1.4177423017673916,
-1.5120016892075459,
1.5670727524580514,
1.5675370816886918,
-1.0991728657376634,
0.7345278817596457,
-0.24050535976088688,
-0.33733855362944315,
0.6751715648252363,
-0.5339834440823218,
0.10410437489350649,
-0.09932875554942433,
0.021932325724995955,
0.057329098589386... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
a3571c19d72a014065614d323aff3379 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [5, 12], "expectation_value": -2.8487382014713045, "params": null, "bitstrings": ["111010", "110011"], "total_optimization_steps": 17, "probabilities": [0.07349404985440221, 0.9006961705259788], "optimization_time": 19.804030895233154} | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + -0.125 * (Z(1) @ 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(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.875, -2.875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.875, "smallest_bitstrings": ["110011", "111010"], "largest_eigenvalue": 5.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.362712956693458) q[0];
h q[1];
ry(-0.362712956693458) q[1];
h q[2];
ry(-0.362712956693458) q[2];
h q[3];
cx q[3], q[2];
ry(0.362712956693458) q[2];
cx q[3], q[2];
ry(-0.8545707286531208) q[2];
ry(1.2709249526324335) q[3];
h q[4];
cx q[4], q[0];
ry(0.362712... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[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... | [
"IIIZZI",
"IIZIZI",
"IIIIZZ",
"IIZZII",
"IIIZIZ",
"IIZIIZ",
"IIZZZI",
"IIIZZZ",
"IIZIZZ",
"IIZZIZ",
"IIZZZZ",
"ZIIZII",
"IZZIII",
"ZIZIII",
"ZZIIII",
"ZZZIII",
"IIIIZI",
"IIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII"
] | [
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,
-0.625,
-0.125,
0.125,
-0.625,
-0.75,
-0.25
] | 0.975572 | [
-0.725425913386916,
1.0706273462922709,
1.3425111777435603,
0.63039906660102,
-0.680705231014584,
-0.40156305610165266,
-0.260757100747384,
0.5178049646920392,
0.4005952126803254,
-0.5439106489094752,
0.08432570462335529,
-0.40927439929699994,
-0.3477309952770732,
0.042917048675201463,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
eb37df157f972d0ca6ce6f2978928048 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [36, 5], "expectation_value": -3.5782610622400384, "params": null, "bitstrings": ["011011", "111010"], "total_optimization_steps": 19, "probabilities": [0.13580601683014493, 0.8593843333407868], "optimization_time": 10.42752742767334} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(4) + -0.75 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.34781260363078503) q[0];
ry(-0.0790730710407612) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.07098067974575972) q[2];
h q[3];
ry(1.191000615298271) q[3];
ry(-0.0919506591296967) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.34781260363078503) q[0];
cx q[5], ... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.25,
-0.25,
0.25,
-0.25,
-0.25,
-0.75,
0.5,
0.5
] | 0.971308 | [
-1.6195195910882816,
-0.6956252072615701,
1.163192809081668,
-0.6409245945835431,
-1.4157079854028858,
-1.4464175889434372,
1.191000615298271,
0.4437522521707178,
-0.5414288192221872,
0.3199884413474384,
-0.09061133362139674,
-0.12627536452462831,
-0.04451483090474981,
-0.07956465144531773... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 6 |
fb354d60453679d679afcbc2ef259e36 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 5... | {"states": [246, 118], "expectation_value": -23.160296327204968, "params": [[0.0287, -0.0235, 0.0245, 0.0068000000000000005], [-0.0585, -0.0086, -0.0459, -0.053700000000000005]], "bitstrings": ["00001001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.011341587434650476, 0.01422448182576319], "optimi... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 150.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.771457845796399) q[0];
rz(0.20583293908457456) q[0];
rx(0.9226641717609871) q[1];
rz(0.16372671104574926) q[1];
cx q[1], q[0];
rz(-0.04382293817596074) q[0];
cx q[1], q[0];
rx(0.7533216915569005) q[0];
rz(0.05206125349230284) q[0];
rz(0.06315738960408568) q[1];
rx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
16,
7,
16.5,
20.5,
13,
10.5,
13.5,
1
] | 0.97422 | [
0.7714578457963991,
0.16201000090861373,
0.9226641717609871,
0.16372671104574926,
1.1584520372173939,
-0.006876482614402969,
0.0444164020346387,
0.25393271130854,
-0.047803904028318286,
-0.03324698493440209,
-0.03689418107124742,
0.10406937110530717,
0.643156446848987,
0.15964110472260815,... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 13 |
af56ef2bee9fa35379eebfd165c008bc | 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": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [56, 26], "expectation_value": -1.6807466413984324, "params": [[0.0775, 0.0771, 0.0762], [-0.08220000000000001, -0.0799, -0.076]], "bitstrings": ["1000111", "1100101"], "total_optimization_steps": 10, "probabilities": [0.017082955802416054, 0.017082955802416068], "optimization_time": 4.481090784072876} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -2.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100101", "1000111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.011858494992534028) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.011858494992534028) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.011858494992534028) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.011858494992534028) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IZIIIZI",
"IZIIIIZ",
"IZZIIII",
"ZIIIZII",
"ZIZIIII",
"ZIIZIII",
"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,
-1,
-1.5,
-1,
-2,
-1,
-1,
0
] | 0.852204 | [
-0.011858494992534028,
-0.4399264199198752,
-1.4993815548133493,
-1.6036786703490618,
0.05348708471282885,
-1.5784591831106949,
1.3448833506454543,
-2.032242889741459,
-2.2699821520766057,
-1.6678431398089475,
-0.5597235221639837,
0.40876528620131225,
-2.183900960248195,
-3.412156663907455... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 500 |
864f213918e4b694952e53439a24874e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capac... | {"states": [280, 281], "expectation_value": -6.561379508106336, "params": [0.0032, 0.9971000000000001, 2.8465000000000003, 0.0, -0.0025, 0.0039000000000000003, -0.0024000000000000002, 0.0088, -0.0028, 1.1777, 1.6267, -0.0035, 2.8682000000000003, -0.0, -0.0024000000000000002, 0.0074, -0.0023, 0.9523, -1.6216000000000002... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(1)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(9)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @... | 4 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.5, "smallest_bitstrings": ["1011000110", "1011100110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.2603210410912924) q[0];
rz(2.613969398650175) q[0];
rx(-3.0749117847361034) q[1];
rz(1.1462184007162586) q[1];
rx(-0.1045535394405201) q[2];
rz(1.6117423336837398) q[2];
rx(-0.08198241755586314) q[3];
rz(1.583885894343755) q[3];
rx(0.010253520049592181) q[4];
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[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"ZIIIIIIIIZ",
"ZIIIIIIIZI",
"IIZIIIZIII",
"ZIIIIZIIII",
"IIZIIZIIII",
"ZIIIZIIIII",
"IIZIZIIIII",
"ZIIZIIIIII",
"IIIZIZIIII",
"IZIIIIIZII",
"IZIIIIZIII",
"IZZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIIZI",
"ZIIIIIIIII"... | [
-0.5,
-0.5,
-0.5,
1.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.75,
-0.25,
-1,
0.75,
-0.25,
0,
-0.25,
1,
0.75,
0
] | 0.978902 | [
0.2603210410912924,
1.0431730718552787,
3.2082735224434833,
-0.4245779260786377,
-0.1045535394405201,
0.040946006888843034,
-0.08198241755586314,
0.013089567548859267,
0.01025352004959218,
1.2657189433373381,
1.6466508471746353,
-0.048173131468048525,
3.1215777176580772,
0.1513947099649320... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 15 |
-8504159703099461588 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 3, 5, 7, 9], [0, 1, 2, 8], [8, 0, 7], [0, 1, 3, 4, 6, 8, 9], [0, 2, 3, 4, 8], [9, 5, 6, 7], [0, 1, 3, 4, 7], [0, 1, 2, 4, 5, 7, 9], [0, 2, 4, 6, 7, 9], [8, 2, 5], [2, 3, 4, 6, 7], [0, 2, 3, 6, 8], [8, 5, 6], [8, 9, 5]]} | {"states": [478, 463], "expectation_value": -3.284765361024511, "params": null, "bitstrings": ["1000100001", "1000110000"], "total_optimization_steps": 67, "probabilities": [0.03717291764647266, 0.8914343954910285], "optimization_time": 174.3465313911438} | 0.20476190476190473 * (Z(0) @ Z(1)) + 0.13095238095238093 * (Z(2) @ Z(1)) + 0.2642857142857143 * (Z(2) @ Z(0)) + 0.09761904761904762 * (Z(3) @ Z(1)) + 0.19761904761904764 * (Z(3) @ Z(0)) + 0.1738095238095238 * (Z(3) @ Z(2)) + 0.047619047619047616 * (Z(5) @ Z(1)) + 0.047619047619047616 * (Z(5) @ Z(0)) + 0.21428571428571... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.3571428571428577], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3238095238095235, "smallest_bitstrings": ["1000110000"], "largest_eigenvalue": 13.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.347861663033569) q[0];
h q[1];
cx q[1], q[0];
ry(0.347861663033569) q[0];
cx q[1], q[0];
ry(-0.20298441050442326) q[0];
ry(1.0866058597760617) q[1];
h q[2];
ry(1.1101247962270069) q[2];
h q[3];
cx q[3], q[0];
ry(0.20298441050442326) q[0];
cx q[3], q[0];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5693) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIIZIZIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZIZIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIIIZIII",
"ZIIIZIIIII"... | [
0.20476190476190473,
0.13095238095238093,
0.2642857142857143,
0.09761904761904762,
0.19761904761904764,
0.1738095238095238,
0.047619047619047616,
0.047619047619047616,
0.21428571428571427,
0.023809523809523808,
0.09761904761904762,
0.29761904761904756,
0.13095238095238093,
0.12380952380952... | 0.975755 | [
1.5417280487637144,
1.5367241491382377,
1.1101247962270069,
-0.7372383208502677,
0.8368836870028595,
-0.6998192642470897,
0.47984260014616326,
0.9049184073927156,
-0.39315747283651103,
-0.695723326067138,
0.5486559916075506,
-0.4059688210088465,
0.8338842922675606,
-0.5526861697752754,
0... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -3.3571428571428577,
"target_ratio": 0.97,
"target_value": -3.2564285714285717
} | 2 |
5bfd79024282ae69c62758a244a2de56 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [41, 44], "expectation_value": -2.9963046695352116, "params": null, "bitstrings": ["010110", "010011"], "total_optimization_steps": 20, "probabilities": [0.0670646542080499, 0.9295035146573057], "optimization_time": 13.496161222457886} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["010011", "010101", "010110"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IZIIZI",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
0,
-1,
-0.5,
-0.5
] | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
255f1dd604659bd35e94474fe8f5241d | 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": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2... | {"states": [3, 47], "expectation_value": -1.6966118503273298, "params": [[0.0781, 0.0729], [-0.0809, -0.064]], "bitstrings": ["1111100", "1010000"], "total_optimization_steps": 10, "probabilities": [0.01596260727292318, 0.016095612095761287], "optimization_time": 3.316303014755249} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111100", "1010000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.37039925737107354) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.47479670208545194) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.002453439771768364) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.002453439771768364) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIIZIZI",
"IIIZZII",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"ZIIIIIZ",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.75,
-0.25,
-1,
-1,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5,
-1,
-0.25,
2.25,
-1,
-0.75,
-0.25,
-0.25,
-1.75,
1,
-0.75,
1.5,
0.5
] | 0.901268 | [
-0.37039925737107354,
-0.47479670208545194,
0.002453439771768364,
0.007173938359176996,
0.28639303714208847,
-0.6771793472255276,
-0.758238898919597,
0.5277113036131329,
0.6196216232026848,
-1.587300313731966,
-0.5518085417301448,
-0.6707094486127311,
-0.0018169790026760502,
-0.12952360862... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 500 |
daa025a90e4398677fe5b0d273c8f8d1 | 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}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "... | {"states": [4092, 4095], "expectation_value": -0.8124482100536893, "params": [[0.0656], [-0.06910000000000001]], "bitstrings": ["000000000011", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.0003775269575182167, 0.000377526957518217], "optimization_time": 2.111375093460083} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z... | 1 | 12 | 1 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["000000000000", "000000000011"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.6557502082605464) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.20258994511258374) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.20258994511258388) q[2];
rx(-0.8399461939743009) q[2];
rz(0.2856205403006215) q[3];
cx q[0], q[3]... | 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[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0... | {"node": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIZZIIII",
"IIIIZIZIIIII",
"IIIIZIIZIIII",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIZZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIIZ",
"IIIIIIIIZIII",
"IIIIIIIIIIZI",
"IIIIIIZIIIII",
"IIIIIIIZI... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-1,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.534473 | [
-1.6557502082605464,
0.20258994511258374,
0.2856205403006215,
-1.0376352151818682,
-0.809409131107178,
-0.8399461939743007
] | {
"n_parameters": 6,
"n_qubits": 12,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 171 |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [9, 3], "expectation_value": -7.0781618393635375, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.1350325569531364, 0.6529765755302799], "optimization_time": 23.96854853630066} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 6 | 5 | 3 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
1.75,
1.75,
1.75,
2,
2,
-2.75,
-3,
-2.75,
-2.5,
-2.5
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
-2336222853355689424 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 2, 5], [8, 3, 5], [0, 1, 2, 3, 4, 6, 8, 9, 10], [1, 2, 3, 4, 7, 8, 10], [10, 5, 6], [0, 1, 4, 7, 8, 9, 10], [0, 3, 4, 6, 7, 8, 9], [0, 10, 3, 7], [3, 4, 5], [2, 4, 6, 7, 9, 10], [0, 10, 5, 7], [0, 2, 3, 6, 7], [1, 2, 5, 6], [0, 4, 5, 8, 9, 10]]} | {"states": [1982, 1214], "expectation_value": -2.1651575023595244, "params": [1.2049, -0.0324, 1.2031, 0.0016, 0.6654, 0.39590000000000003, 0.6582, 0.4052, 0.6543, -0.30670000000000003, 0.6563, 0.0092, 1.2767000000000002, -0.0189, 1.2922, 0.0204, 0.6543, -0.33230000000000004, 0.6605000000000001, 0.0048000000000000004, ... | 0.21388888888888888 * (Z(10) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.19999999999999998 * (Z(6) @ Z(10)) + 0.037698412698412696 * (Z(9) @ Z(3)) + 0.09484126984126984 * (Z(9) @ Z(10)) + 0.19999999999999998 * (Z(9) @ Z(6)) + 0.08769841269841269 * (Z(4) @ Z(3)) + 0.037698412698412696 * (Z(4) @ Z(10)) + 0.3333333333333333 * (Z(4... | 8 | 11 | 1 | {"smallest_eigenvalues": [-3.187301587301587], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.1619047619047618, "smallest_bitstrings": ["01101000001"], "largest_eigenvalue": 13.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.5095560200516218) q[0];
rz(1.5821812197857374) q[0];
rx(0.1250418039355264) q[1];
rz(1.148775349200573) q[1];
cx q[1], q[0];
ry(-0.3707487450716767) q[0];
cx q[1], q[0];
ry(2.1172834203555504) q[0];
rz(-1.5432889275321422) q[0];
rx(0.9148969480932381) q[1];
rz(1.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZIII",
"IIIIZIIZIII",
"ZIIIZIIIIII",
"IZIIIIIZIII",
"ZZIIIIIIIII",
"IZIIZIIIIII",
"IIIIIIZZIII",
"ZIIIIIZIIII",
"IIIIZIZIIII",
"IZIIIIZIIII",
"IIIIIIIZIIZ",
"ZIIIIIIIIIZ",
"IIIIZIIIIIZ",
"IZIIIIIIIIZ",
"IIIIIIZIIIZ",
"IIIIIIIZIZI",
"ZIIIIIIIIZI",
"IIIIZIIIIZI",
"IZIIIIIII... | [
0.21388888888888888,
0.25,
0.19999999999999998,
0.037698412698412696,
0.09484126984126984,
0.19999999999999998,
0.08769841269841269,
0.037698412698412696,
0.3333333333333333,
0.22817460317460317,
0.06388888888888888,
0.09484126984126984,
0.11666666666666667,
0.09484126984126984,
0.171031... | 0.973762 | [
1.5095560200516218,
0.011384892990841146,
0.1250418039355264,
1.148775349200573,
-0.46871796555393075,
-0.12061892801326868,
1.4021487435211948,
-0.023039717886200198,
0.06274007004526613,
1.0801319216322118,
-0.15075002100719045,
1.8239825401071974,
0.028462058243949623,
1.194644648946283... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -3.187301587301587,
"target_ratio": 0.97,
"target_value": -3.0916825396825396
} | 30 |
1779337858150862282 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [4, 5], [1, 2, 3]]} | {"states": [5, 13], "expectation_value": -1.1855944140865886, "params": null, "bitstrings": ["111010", "110010"], "total_optimization_steps": 34, "probabilities": [0.12539633059555305, 0.5197527415920894], "optimization_time": 26.536965131759644} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666663 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(4) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["000110", "101010", "101001", "000101", "110001", "110010"], "largest_eigenv... | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.43608149127541257) q[0];
h q[1];
ry(-0.39507147077412164) q[1];
h q[2];
cx q[2], q[1];
ry(0.39507147077412164) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
ry(0.43608149127541257) q[0];
cx q[3], q[0];
ry(-0.8167512694028205) q[0];
ry(1.4251585067028727) q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[3], q[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 ... | [
"IIZIIZ",
"ZZIIII",
"IIZIZI",
"IIZZII",
"IIIZZI",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIIZI",
"IIIZII"
] | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0,
0,
0,
0.16666666666666666,
0.16666666666666666
] | 0.97239 | [
-0.8721629825508251,
1.2258375162277393,
-0.6742711981397779,
0.7434732085699054,
0.39864198095026737,
-0.6363869775089136,
0.689041467135639,
-0.23345399346488632,
-0.2849601425260853,
-0.7901429415482433,
0.16936556831015587,
-0.33776156269183444,
0.8187425775144885,
-0.02694383255461527... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -1.3333333333333335,
"target_ratio": 0.97,
"target_value": -1.2933333333333334
} | 11 |
607dfe672a9c089714e83d20227118f4 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [698, 762], "expectation_value": -2.5500941144951206, "params": [[0.49420000000000003, 1.0170000000000001, -0.0476, 1.3903, 0.4022, 1.3767, 0.6185, 1.3855000000000002, -0.002, 1.0759, -0.0926], [0.7955, 1.3503, 0.4343, 0.8277, -0.0247, 0.45680000000000004, -0.015700000000000002, 0.4183, -0.0014, 0.9880000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) ... | 10 | 11 | 2 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.4375, "smallest_bitstrings": ["10001000110", "10001010100", "10001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.500912732271395) q[0];
ry(1.4031395932287742) q[1];
ry(0.03390556761343118) q[2];
ry(1.2514493420283546) q[3];
ry(0.5079143254870274) q[4];
ry(1.9164698869751478) q[5];
ry(1.3873586783535519) q[6];
ry(1.3764070679267257) q[7];
ry(-0.008194751781041447) q[8];
ry(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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIZZZII",
"IIIIIIIIZIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIZIIIIIIZ",
"IIIIIZIIZII",
"IIIIZIIIZII",
"IIIZIIIIZII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIIIIZIIZIZ",
"IIIIZIIIZIZ",
"IIIZIIIIZIZ",
"IIIIZZIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
... | 0.977042 | [
0.500912732271395,
1.4031395932287742,
0.03390556761343118,
1.2514493420283546,
0.5079143254870274,
1.9164698869751478,
1.3873586783535519,
1.3764070679267257,
-0.008194751781041447,
1.248539139546448,
-0.03308576838918488,
0.731429635255586,
1.6596360117117979,
0.24110743227389958,
0.10... | {
"n_parameters": 33,
"n_qubits": 11,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 34 |
13897d244e0881b4447dd2a9a298bf14 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 19, "source": 0, "target": 6}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [119, 118], "expectation_value": -46.73597283979099, "params": [1.5491000000000001, 0.0022, 2.7942, 0.0032, 2.7931, 0.0022, 2.7983000000000002, 0.009000000000000001, 1.383, 0.0061, 2.8047, 0.001, 2.8061000000000003, 0.006500000000000001, 1.5634000000000001, 0.0036000000000000003, 0.007500000000000001, 0.0061... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 11.0 * Z(1) + 6.5 * Z(0) + 13.5 * Z(2) + 11.0 * Z(3) + 6... | 18 | 8 | 1 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 128.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.030727019186459183) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.030727019186459183) q[1];
cx q[2], q[1];
rz(-1.5882059243987203) q[2];
rx(1.5243136193984859) q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.030727019186459183) 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] x2;
input float[64] x3;
input float[6... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11,
6.5,
13.5,
11,
6,
14,
14,
4.5
] | 0.98132 | [
0.030727019186459183,
-1.5882059243987205,
1.700638967703943,
-1.2603176422809077,
1.524313619398486
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 27 |
3257eb74c5059c972aa1cf1f57c7841b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [56, 41], "expectation_value": -4.996515641776615, "params": null, "bitstrings": ["1000111", "1010110"], "total_optimization_steps": 26, "probabilities": [0.06700895329685967, 0.929746164097619], "optimization_time": 28.918260097503662} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(5) + -0.5 * Z(6) + -1.5 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110100", "1010110", "1000111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.604794358462062) q[0];
h q[1];
ry(1.4676073177425042) q[1];
h q[2];
ry(-0.5077466166761001) q[2];
h q[3];
ry(1.4266241947204965) q[3];
h q[4];
ry(-1.604794358462062) q[4];
ry(-0.15549175033431428) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[2];
ry(0.50774661667... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"ZIIIIIZ",
"ZIIIZII",
"IIZIIZI",
"IIZIZII",
"IZZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIZIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1.5,
-1.5,
-0.5,
-1.5,
0
] | 0.998653 | [
-1.604794358462062,
-1.4553258713263464,
1.4266241947204965,
1.4676073177425042,
-1.0154932333522002,
0.6855737295491413,
-0.5831377709843016,
0.6175056371217669,
-0.38038496147893763,
0.31761360388928944,
-0.14371098723256165,
0.08004258973152818,
0.123377621009911,
0.17468612591959368,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
27f91ac61eafc4edd382d0960965a450 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [335, 327], "expectation_value": -62.80077415956052, "params": [0.8984000000000001, 0.0641, -0.0051, 0.5229, 0.9048, 0.1618, 0.323, 0.3131, 0.2803, 0.31270000000000003, 0.4655, 0.4033, 0.9012, 0.0915, 0.8984000000000001, 0.0235, 0.895, -0.0034000000000000002, 0.894, 0.0902, 0.0006000000000000001, 0.5258, 0.9... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(8)) + 15.5 * Z(0) + -5.0 * Z(1) + 14.0 * Z(2) + 3.0 * Z(3) + 2.0 * Z(4) + 5.0 * Z(5) + 8.0 * Z(6) + 9.5 * ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["010111000"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.932394573638247) q[0];
rz(-0.0034764364399242353) q[0];
rx(-0.07588824216408833) q[1];
rz(0.3539123064793494) q[1];
rx(0.8804423519945331) q[2];
rz(0.3224128446518846) q[2];
rx(-0.14303876022088258) q[3];
rz(0.20551149347291547) q[3];
rx(0.028236981730654854) 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], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"ZIIIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
15.5,
-5,
14,
3,
2,
5,
8,
9.5,
12
] | 0.981902 | [
0.9323945736382468,
0.044347000981592735,
-0.07588824216408833,
0.3539123064793494,
0.8804423519945331,
0.3224128446518846,
-0.14303876022088258,
0.20551149347291547,
0.028236981730654854,
0.3538010297810163,
0.3038228628994717,
0.2676103219705503,
0.9630563697736582,
0.09430235729779138,
... | {
"n_parameters": 77,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 12 |
0bc68bad4c5e6ed282b5085eb4cabe2e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "... | {"states": [0, 4095], "expectation_value": -27.21635671714127, "params": [[[0.0022, 1.6142], [0.0022, 0.0022], [0.0018000000000000002, 0.0018000000000000002], [0.0018000000000000002, 0.0018000000000000002], [0.0018000000000000002, 0.0021000000000000003], [0.0017000000000000001, 0.0018000000000000002], [0.00180000000000... | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + -2.5 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(7)) + -2.5 * (Z(11) @ Z(8)) + -2.5 * (Z(11) @ Z(7)) + -2.5 * (Z(11) @ Z(10)) + 1.0 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(10... | 15 | 12 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.0, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.01667366137105125) q[0];
ry(0.01667366137105125) q[1];
ry(-0.012249221293910241) q[2];
ry(-0.012249221293910241) q[3];
ry(-0.012249221293910241) q[4];
ry(-0.3067189556509099) q[5];
ry(-0.012249221293910241) q[6];
ry(0.005770461481357229) q[7];
ry(0.067588392166340... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[12] c;
qubit[12] q;
ry(x0) q[0];
ry(... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIIZIIIZI",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IZIZIIIIIIII",
"IZIIZIIIIIII",
"ZIIZIIIIIIII",
"ZIIIZIIIIIII",
"ZZIIIIIIIIII",
"IIZZIIIIIIII",
"IIZIZIIIIIII",
"IZZIIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIIZI... | [
-2,
-2.5,
0.5,
0.5,
-1.5,
-2,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
1,
1,
-2.5,
-2.5,
-1.5,
-1.5,
-1.5,
-1.5,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972217 | [
0.01667366137105125,
-0.012249221293910241,
-0.3067189556509099,
0.005770461481357229,
0.06758839216634084,
0.2508793715028205,
0.12679450852584995,
2.750019690150592,
0.09473162376042923,
-0.17013011500429331,
-0.026157860613903697,
0.02515152718192705
] | {
"n_parameters": 12,
"n_qubits": 12,
"optimal_eigenvalue": -32,
"target_ratio": 0.97,
"target_value": -31.04
} | 13 |
7540973123277887831 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 3, 5], [0, 3, 4], [9, 4, 6], [0, 5], [0, 1], [5, 7], [3, 5, 6], [2, 6], [0, 2], [2, 3], [8, 4, 6], [4, 6, 7], [1, 5], [9, 2, 7], [0, 4, 7], [1, 3, 4], [9, 5, 6], [9, 2, 5], [8, 1, 4]]} | {"states": [591, 847], "expectation_value": -3.813951195570459, "params": [1.0986, 0.0027, 1.085, 0.0055000000000000005, 1.1025, 0.1268, 0.7951, 0.0055000000000000005, 0.8527, -0.0064, 0.46490000000000004, 0.0037, 1.1009, -0.0036000000000000003, 1.0957000000000001, 0.0004, 1.1042, 0.0098, 1.0989, 0.008400000000000001, ... | 0.16666666666666666 * (Z(9) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(9)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.33333333333... | 6 | 10 | 1 | {"smallest_eigenvalues": [-6.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5000000000000036, "smallest_bitstrings": ["0010110000"], "largest_eigenvalue": 15.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.2519404922205113) q[0];
rz(1.5459613380223738) q[0];
rx(1.573865858263523) q[1];
rz(1.4750603453538833) q[1];
rx(0.3475823116428466) q[2];
rz(1.4355762285219589) q[2];
rx(1.0281139872257243) q[3];
rz(1.601803420216771) q[3];
rx(2.974731979520754) q[4];
rz(1.500525... | 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": []} | [
"ZIIIIIZIII",
"IIIIZIZIII",
"ZIIIZIIIII",
"IIIIIIZIIZ",
"IIIIZIIIIZ",
"IIIIIZZIII",
"ZIIIIZIIII",
"IIIIIZIIIZ",
"IIIZIIZIII",
"ZIIZIIIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IIIIIIZIZI",
"IIIIZIIIZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"ZIZIIIIIII",
"IIZIZIIIII",
"IIZIIIIIIZ",
"IIZIIZIIII"... | [
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16... | 0.971485 | [
1.251940492220511,
-0.02483498877252288,
1.5738658582635228,
-0.09573598144101389,
0.3475823116428466,
-0.13522009827293785,
1.0281139872257243,
0.031007093421874396,
2.974731979520754,
-0.07027084935437622,
0.4059528513438103,
0.03511610506776178,
1.019154267585915,
2.106570988572843,
-... | {
"n_parameters": 46,
"n_qubits": 10,
"optimal_eigenvalue": -6.166666666666668,
"target_ratio": 0.97,
"target_value": -5.981666666666667
} | 214 |
14573335ed5b867ba544598418a40acb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "source": 1, "target": 4}, {"capac... | {"states": [0, 1], "expectation_value": -9.81820595876934, "params": [0.0045000000000000005, 0.1004, -0.003, 0.1424, 0.0036000000000000003, 0.15, 0.004, 0.1524, 0.0028, 0.1164, 0.0021000000000000003, 0.1476, 0.0022, 0.1474, 0.0076, 0.1603, 0.0008, 0.1554, 0.005, 0.17220000000000002, 0.0035, 0.16, 0.0043, 0.1569, 0.0046... | -0.5 * (Z(0) @ Z(6)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ ... | 7 | 10 | 4 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["1111111110", "1111111010"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.05614901501533189) q[0];
rz(0.22781802132055562) q[0];
rx(-0.15246647843271652) q[1];
rz(0.24473132502081693) q[1];
cx q[1], q[0];
rz(0.06574215365500218) q[0];
cx q[1], q[0];
rz(-1.3545578151838265) q[0];
ry(0.2284619840361315) q[0];
rz(1.664635289165025) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZ",
"IZIZIIIIII",
"IZIIIIIIIZ",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIIIIZIIZI",
"IIIZZIIIII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIZIIIZII",
"IIIIZIIZII",
"IZIIIIZIII",
"IIIIIZZIII",
"IIIIZIZIII",
"IIZIZIIIII",
"IIZIIIZIII",
"ZIIZIIIIII",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"IIIZIIIIII"... | [
-0.5,
-0.25,
-0.5,
-1,
-0.5,
-0.25,
-0.75,
-0.25,
-1,
-0.75,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-0.25,
1.25,
-0.25,
-0.5,
-0.25,
-0.75,
-0.5,
0.25,
0.75,
0.25,
-0.75,
0.75,
0.75
] | 0.973743 | [
0.05614901501533188,
0.29356017497555803,
-0.15246647843271652,
0.24473132502081693,
-0.12032653324830447,
0.14517093278414492,
0.10441185868136973,
0.02732130998088253,
-0.08271859328034062,
-0.08662759724633251,
-0.0017071817382347532,
0.049658732265759314,
0.004303725884878873,
0.018566... | {
"n_parameters": 157,
"n_qubits": 10,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 10 |
ae9c84de96340fafef2df50aa0a81910 | 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": 4}, {"source": 1, "target": 6}, ... | {"states": [938, 942], "expectation_value": -2.4166065550158247, "params": [[[0.4345, -0.030100000000000002, 0.0043, 0.005200000000000001], [0.4923, 0.0026000000000000003, 0.47540000000000004, 0.0098], [-0.38620000000000004, 0.0077, 0.0064, 0.0118], [0.5387000000000001, -0.025900000000000003, 0.6204000000000001, 0.0029... | 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(5... | 12 | 11 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 27, "first_excited_energy": -2.25, "smallest_bitstrings": ["1100100000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.18906960300818731) q[0];
rz(0.158699787040575) q[0];
ry(1.0992299556626917) q[1];
rz(0.29797241520627515) q[1];
cz q[1], q[0];
ry(0.14663774078681105) q[0];
rz(-0.38992404017205684) q[0];
ry(1.102786827897618) q[1];
ry(-0.18937635618798024) q[2];
rz(-0.36706097816... | 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIZZIIII",
"IIIIZIIIIIZ",
"IIIZIIIIIIZ",
"IIIZZIIIIII",
"IIIZZIIIIIZ",
"IIIIZIIIIZI",
"IIZIIIIIIZI",
"IZIIIIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25... | 0.97418 | [
0.18906960300818731,
0.158699787040575,
1.0992299556626917,
0.29797241520627515,
-0.18937635618798024,
-0.3670609781624589,
0.26177128026265717,
0.2127426690448129,
-0.04094715412144846,
0.6046482249090953,
0.1334960340852437,
-0.42390203013161915,
0.010825512192054576,
0.01666871653662485... | {
"n_parameters": 121,
"n_qubits": 11,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 124 |
31bcee1b066a63f64c6901bb1e1b69cb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 35], "expectation_value": -0.42232597844093356, "params": [[-0.061500000000000006, -0.0509, -0.0499], [0.0761, 0.0695, 0.0685]], "bitstrings": ["100011", "011100"], "total_optimization_steps": 10, "probabilities": [0.02438075613331319, 0.02477936280953667], "optimization_time": 2.9184176921844482} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * 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": ["100011", "101010", "011100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.8134308690563022) q[0];
rz(-0.004340210929724364) q[0];
rx(-0.04386525431228497) q[1];
rz(1.1021752077143088) q[1];
rx(-0.013238833040450147) q[2];
rz(-1.192074686665066) q[2];
rx(1.521660208972273) q[3];
rz(-0.5183062345743958) q[3];
rx(-0.07804897496144539) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZZIII",
"IZIZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
0
] | 0.981324 | [
-0.8134308690563021,
0.02233676954795123,
-0.04386525431228497,
0.6629278156883924,
-0.013238833040450145,
-0.8015821085417717,
1.521660208972273,
-0.03357304081524819,
-0.0780489749614454,
1.036539672959953,
1.1636048445698097,
0.011763346432697531,
0.06040645557731586,
-0.969466387518295... | {
"n_parameters": 47,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 6 |
a8cbc7b2d97b00e13208bba5a49e2bfd | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -14.02737839244422, "params": [[[0.0014, 0.3573], [-0.009300000000000001, 0.0026000000000000003], [0.0015, -0.0029000000000000002], [0.0008, -0.0029000000000000002], [-0.0019, -0.0022], [0.0007, -0.0029000000000000002], [-0.0035, -0.0022], [0.0004, -0.0012000000000000001], ... | -0.5 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(9) @ Z(7)) + -1.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(9)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(9)) + -1.25 * (Z(8) @ Z(3)) + -0.25 * (Z(5)... | 15 | 11 | 4 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.1289205279525739) q[0];
ry(0.02172475167515937) q[1];
ry(-0.23192441846372128) q[2];
ry(0.014835395756820757) q[3];
ry(0.014835395756820757) q[4];
ry(0.055075626202339883) q[5];
ry(0.01661306993381172) q[6];
ry(-0.33554492303585837) q[7];
ry(-0.15166352765074576) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIZ",
"IIIIIIZIIZI",
"IZIZIIIIIII",
"IZIIIIZIIII",
"IZIIIIIIIZI",
"IIIIIIZZIII",
"IIIIZIZIIII",
"IIIIZIIIIZI",
"IZIIZIIIIII",
"IIIIZIIZIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IIZIIIIZIII",
"IIIIIZZIIII",
"IZIIIZIIIII",
"IIIIZZIIIII",
"IIIIIIIIZIZ",
"IIIIIIZIZII",
"IIIIZIIIZ... | [
-0.5,
-0.5,
-0.25,
-1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-1,
-1,
-0.75,
-0.25,
-1.25,
-0.25,
-0.5,
-1,
0.75,
-0.75,
-0.5,
-0.25,
-1.75,
-0.5,
-0.75,
0,
-0.25,
0.5,
0.5,
0.75,
1,
-1.25,
-0.25,
-0.75,
-0.75,
0.5
] | 0.971359 | [
0.1289205279525739,
0.02172475167515937,
-0.23192441846372128,
0.014835395756820757,
0.055075626202339883,
0.01661306993381172,
-0.33554492303585837,
-0.15166352765074576,
0.02751884897500416,
2.274145723835324,
-0.007111718767267891,
-0.06729316965923915,
-0.020967437987054725,
-0.0278814... | {
"n_parameters": 33,
"n_qubits": 11,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 68 |
69144809aea48cb46eae9c3950f24a15 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [1781, 3485], "expectation_value": -0.9398952100720636, "params": [[0.0609, 0.055900000000000005, 0.0369], [-0.0651, -0.05, -0.038]], "bitstrings": ["100100001010", "001001100010"], "total_optimization_steps": 10, "probabilities": [0.000413867226179303, 0.0004138672261793031], "optimization_time": 11.3317472... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * ... | 1 | 12 | 3 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["010001010100", "010001010001", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIZIIIIIII",
"IZIIIIIIIIZI",
"IZZIIIIIIIII",
"ZIIZIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1,
1,
1,
0.75,
0.75,
0.75,
1,
1,
1
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
d92b7c12d97dc605feea13254bd8dff9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [43, 41], "expectation_value": -6.26666521656577, "params": null, "bitstrings": ["1010100", "1010110"], "total_optimization_steps": 28, "probabilities": [0.2134849812769365, 0.21348894007073743], "optimization_time": 26.690391778945923} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + -0.75 * Z(4) + 0.75 * Z(6) + 0.75 * Z(3) + 0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010110", "1010100", "1110110", "1110100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.1613355818092186) q[0];
h q[1];
ry(-0.12233573057545974) q[2];
rz(-pi) q[2];
h q[3];
ry(1.3171455343153773) q[3];
h q[4];
ry(-1.4549864237177321) q[4];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.1613355818092186) q[0];
cx q[6], q[0];
ry(-1.3359098122324058) q[0];... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.5681) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IIZZIII",
"ZIIZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
1.75,
-0.25,
-0.5,
-0.5,
0,
-0.25,
-1,
-0.75,
0.75,
0.75,
0.5
] | 0.978301 | [
-0.3226711636184372,
1.0297858894541518,
-1.3860618782316705,
-1.4549864237177321,
-1.2701039327304473,
1.3171455343153773,
0.6533473382192567,
-0.13161175900391658,
-0.23704437420561295,
-0.36147363198884425,
0.07668172061107403,
0.05424147455893963,
0.18792758690886313,
-0.12479743597553... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 14 |
6502104399488242620 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[5, 6], [1, 4], [0, 2, 5], [1, 2, 3], [0, 2, 4], [0, 3], [1, 5], [3, 5], [0, 4, 5]]} | {"states": [113, 30], "expectation_value": -0.08908872653271928, "params": [[-0.0697], [0.0767]], "bitstrings": ["0001110", "1100001"], "total_optimization_steps": 10, "probabilities": [0.008602452063186598, 0.00866139652536448], "optimization_time": 2.084848165512085} | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(2) @... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.500000000000001, "smallest_bitstrings": ["1100001"], "largest_eigenvalue": 6.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(-0.8252677289277404) q[5];
cx q[6], q[5];
cx q[5], q[1];
rz(-0.8252677289277404) q[1];
cx q[5], q[1];
cx q[5], q[4];
rz(0.0873146511011388) q[4];
cx q[5], q[4];
cx q[1], q[4];
rz(-0.82526772892774... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q[5];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[4];
rz(... | null | {"circuits": [], "gradients": []} | [
"ZZIIIII",
"IZIIIZI",
"IZZIIII",
"IIZIIZI",
"IZIIIIZ",
"IIZIIIZ",
"IZIIZII",
"IIIIZZI",
"IIZIZII",
"IIIIZIZ",
"IZIZIII",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"ZIIIIII",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIIIZ",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0,
0.3333333333333337,
0.16666666666666696,
0.3333333333333335,
0.500... | 0.564163 | [
-0.8252677289277404,
0.0873146511011388,
-0.1997937378954718,
0.1300352416616177,
0.8245921329280357
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -2.833333333333333,
"target_ratio": 0.97,
"target_value": -2.748333333333333
} | 137 |
ec9ff3207d000463c19c23961aa86ce6 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [0, 1017], "expectation_value": -12.224900228584037, "params": [0.0466, -1.8917000000000002, -0.046700000000000005, 0.0064, -0.27390000000000003, 1.7759, -0.4184, 0.0014, 0.5613, -0.060200000000000004, -1.1376, 0.0004, -0.5107, 2.3652, -0.4399, 0.0035, -0.6085, 1.8453000000000002, -0.4954, 0.001, -0.4217, 1.... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + -1.0 * Z(8) + -1.0 * Z(7) + 0.5 * Z(... | 6 | 10 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0000000110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.5052530082090905) q[0];
h q[1];
ry(-0.009243059390101133) q[1];
h q[2];
ry(0.7897296108867939) q[2];
h q[3];
ry(0.3684999598537079) q[3];
h q[4];
cx q[4], q[3];
ry(-0.3684999598537079) q[3];
cx q[4], q[3];
cx q[3], q[0];
ry(-0.5052530082090905) q[0];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIZZIIIII",
"IZZIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"IIIIIIIZII",
"ZIIIIIIIII"
] | [
-2,
-2,
-2,
1,
-2,
-2,
-1,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5
] | 0.946003 | [
0.7369999197074159,
1.010506016418181,
-0.018486118780202267,
2.786678331503421,
-0.35516717076301857,
0.0030376569410825657,
1.3419868022816568,
-0.03517863644216987,
-0.05231290514712812,
-1.3470583962394158,
-1.7271316915640658,
1.5794592217735879,
1.2534933124978211,
0.3305700410441207... | {
"n_parameters": 47,
"n_qubits": 10,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 500 |
fc004364023d9de40312a47332ff3203 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [470, 478], "expectation_value": -2.519323838904291, "params": [-0.0035, 0.4257, 0.7845000000000001, 0.1567, 0.7875000000000001, -0.0046, 0.7782, -0.0051, 0.1111, 0.39280000000000004, 0.5692, 0.171, 0.5431, 0.1297, 0.748, -0.0218, 0.7607, -0.0038, 0.22890000000000002, -0.2975, 0.0017000000000000001, 0.408900... | 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)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(4) @ Z(7)) + 0.... | 16 | 10 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.375, "smallest_bitstrings": ["1000001100", "1000010010", "0011100000", "0101001000", "1000100001"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.9064729368977194) q[0];
ry(-0.649182173265523) q[1];
h q[2];
ry(1.4324240142859173) q[2];
cx q[2], q[0];
ry(-0.23353815411777684) q[0];
cx q[2], q[0];
cx q[2], ... | 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIZZZIIII",
"IIIIIZIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIZIIZIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IIZIIZIIZI",
"IZIIIZIIZI",
"IZZIIIIIZI",
"IZZIIZIIII",
"IZZIIZIIZI"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0... | 0.987812 | [
-1.5986606768365204,
-1.6185309131181278,
-1.6846005430182638,
1.4324240142859173,
-1.2254824610842985,
0.6729347827799425,
-0.5013102898575983,
0.4670763082355537,
-0.2957437668158493,
-0.01748577060486424,
-0.06482151295528986,
0.013714043898860342,
-0.001963044877672917,
0.1760142459784... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
ee68f24dce039a4cba3f3c3df952f527 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 4, "target": 3}, {"capaci... | {"states": [27, 31], "expectation_value": -0.27057999700459323, "params": [[0.048100000000000004, 0.0616, 0.0442, 0.0316], [-0.029300000000000003, -0.0536, -0.0463, -0.0386]], "bitstrings": ["100100", "100000"], "total_optimization_steps": 10, "probabilities": [0.021821648383327584, 0.02234500568137461], "optimization_... | 0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.25 * Z(4) + 0.5 * Z(1) + 0.25 * Z(2) + -0.25 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["100100", "100000"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(1.7187054369255659) q[0];
cx q[5], q[0];
rz(0.09446777047799948) q[0];
rx(-1.466700987803215) q[0];
cx q[5], q[4];
rz(0.01333934725850041) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(0.01333934725850041) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"ZZIIII",
"IZIIZI",
"IIIZZI",
"IZZIII",
"ZIIIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.25,
-0.75,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
0.5,
0.25,
-0.25
] | 0.744299 | [
1.7187054369255659,
0.01333934725850041,
0.09446777047799972,
-1.1516700085688871,
1.5731593475807684,
-1.4667009878032147
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 189 |
5129940d52965c3bcc0f8dd9c73f53f5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [0, 7], "expectation_value": -5.123460262950377, "params": [-0.7651, 0.7585000000000001, 0.5953, 0.9306000000000001, 0.7906000000000001, 1.2454, -0.6515000000000001, 0.9359000000000001, 0.7766000000000001, 1.4923000000000002, -0.5311, 0.9864, 0.6937, 1.358, -0.442, 1.2127000000000001, 0.0917, 0.7577, 0.5008,... | -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) | 6 | 4 | 2 | {"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] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} | [
"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 |
9dd8266042fcde8d0f7c760b71b9c0f3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 6}, {"source": 1, "target": 8}, {"sour... | {"states": [170, 186], "expectation_value": -5.471141325441005, "params": [[-0.0035, 1.0424, -0.0017000000000000001, 1.1667, 0.48400000000000004, 1.1536, 0.0021000000000000003, 1.0401, -0.0001], [-0.0016, 1.0494, 0.012, 0.6931, -0.0976, 0.7226, 0.0017000000000000001, 1.0493000000000001, 0.0002], [-0.0011, 1.0415, -0.00... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + -0.5 * Z(4) + -1.0 * Z(0) + -0.5 * Z(7) + -2.0 * Z(8) + -0.5 * Z(1) + -1.0 * Z... | 10 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["100100101", "101000101"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.09667357222492164) q[0];
ry(1.0389747080368181) q[1];
ry(-0.05292011185601332) q[2];
ry(1.1016901662053047) q[3];
ry(1.0019331905025246) q[4];
ry(1.2074117114009841) q[5];
ry(0.11880448987116417) q[6];
ry(1.1302031924508165) q[7];
ry(-0.04943661146825422) q[8];
cz ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIIIZI",
"IIZIZIIII",
"IIZIIIIZI",
"ZIIIIIZII",
"IIZIIZIII",
"IIIIIZZII",
"ZIIZIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-2,
-0.5,
-1,
-0.5,
-0.5,
0
] | 0.976392 | [
0.09667357222492164,
1.0389747080368181,
-0.05292011185601332,
1.1016901662053047,
1.0019331905025246,
1.2074117114009841,
0.11880448987116417,
1.1302031924508165,
-0.04943661146825422,
-0.26756071078340693,
0.9328464131607765,
-0.08868180741822981,
0.31976349131849463,
-0.0261464771916854... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 17 |
35afd4cd3dcd327db2f1b4589e236376 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "ta... | {"states": [193, 197], "expectation_value": -4.028629052696172, "params": [0.9007000000000001, 0.0038, 0.8981, 0.0004, 0.29050000000000004, -0.43510000000000004, 0.0028, 0.461, -0.0088, 0.23650000000000002, 0.9003, 0.0037, 0.34900000000000003, -0.3423, 0.904, -0.0021000000000000003, 0.9004000000000001, -0.0197000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(6) + -1.5 * Z(4) + 0.0 * Z(... | 4 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["00111010", "10111000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.9853449300689912) q[0];
rz(1.5394106678832813) q[0];
rx(1.2756945773992248) q[1];
rz(1.2192515687465733) q[1];
rx(0.1462735739490233) q[2];
rz(1.2463257115054205) q[2];
rx(-0.12577265816697086) q[3];
rz(2.0423877460536417) q[3];
rx(-0.08600156132974617) q[4];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IZIIZIII",
"IIIZZIII",
"IZIZIIII",
"IIIZIIZI",
"IIZIIZII",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIZIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-1.5,
0,
0,
-0.5
] | 0.978304 | [
0.9853449300689913,
-0.03138565891161489,
1.275694577399225,
-0.35154475804832397,
0.1462735739490233,
-0.3244706152894759,
-0.12577265816697084,
0.47159141925874415,
-0.08600156132974617,
0.5333098043775083,
1.4944982792518737,
0.00043015294826084793,
0.1920197638014388,
-0.38682818165087... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 13 |
d6991d057b315b177a32f1a4a2aac75c | 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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [506, 250], "expectation_value": -1.7978489245705913, "params": [0.6788000000000001, 0.6868000000000001, 0.6812, 0.6919000000000001, 0.9061, 0.8997, 0.9001, 0.903, 0.9038, 0.8991, 0.9006000000000001, 0.902, 0.911, 0.9099, 0.0001, -0.0032, 0.903, 0.9055000000000001, 0.0013000000000000002, -0.00520000000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.9375, "smallest_bitstrings": ["1000000111", "0010100101", "1000100101", "0100100101", "1100000101", "0100010101", "0101000101"], "largest_eigenvalue": 6.0625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.8721926881825792) q[0];
rz(pi/2) q[0];
ry(0.011994780182612724) q[1];
ry(1.8959561267241176) q[2];
ry(1.622167989491603) q[3];
ry(1.936090818574434) q[4];
ry(1.7222393404414162) q[5];
ry(1.7301073604748325) q[6];
ry(-0.5782804483051742) q[7];
ry(1.405056998412797... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIIZZIIIZ",
"IIIIZZZIII",
"IIIIZZZIIZ",
"IIIZIIZIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIZZIIZIII",
"IIIIIZIIZI"... | [
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,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.... | 0.977666 | [
-0.8721926881825792,
0.011994780182612724,
1.8959561267241176,
1.622167989491603,
1.936090818574434,
1.7222393404414162,
1.7301073604748325,
-0.5782804483051742,
1.4050569984127974,
-0.07157364265413833,
-0.009412620610943542,
0.06943085401228247,
1.0178640686710358,
0.0472153602388203,
... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -3.9375,
"target_ratio": 0.97,
"target_value": -3.819375
} | 48 |
-2865884077564365777 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 6], [2, 6, 7], [1, 4, 6], [0, 6], [1, 6, 7], [0, 4, 5], [3, 5, 6], [4, 7], [3, 4, 6], [0, 2, 4], [0, 2, 7]]} | {"states": [110, 46], "expectation_value": -3.3103852450018576, "params": null, "bitstrings": ["10010001", "11010001"], "total_optimization_steps": 29, "probabilities": [0.49384673882414737, 0.49384673882414737], "optimization_time": 42.92627477645874} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.3333333333333326, -3.3333333333333326], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0000000000000004, "smallest_bitstrings": ["10010001", "11010001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.6095125923933774) q[0];
h q[1];
h q[2];
ry(1.2374176576840432) q[2];
cx q[2], q[0];
ry(0.6095125923933774) q[0];
cx q[2], q[0];
ry(0.1549833901310509) q[2];
ry(-0.1537839966332405) q[0];
h q[3];
ry(-0.618375146374572) q[3];
h q[4];
ry(1.3434727641238948) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5681) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZZII",
"IZIIZIII",
"IZIIIZII",
"ZIIIIZII",
"ZZIIIIII",
"IZIIIIZI",
"ZIIIIIZI",
"IIIZZIII",
"IIIZIZII",
"IZIZIIII",
"ZIIZIIII",
"IIIZIIZI",
"IIIIIZIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIIZIIIZ",
"IIZIZIII",
"IZZIIIII",
"IIZZIIII",
"IIZIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IZIIIII... | [
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.1... | 0.98664 | [
1.544156564230631,
1.2374176576840432,
-1.2190251847867548,
1.3434727641238948,
-1.5344848799634732,
-1.236750292749144,
1.244413783017837,
0.3099667802621018,
-0.307567993266481,
-0.3612090364649996,
0.16716558829186265,
0.16457558706834444,
0.014688086113749138,
-0.12360214156695386,
0... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -3.3333333333333326,
"target_ratio": 0.97,
"target_value": -3.2333333333333325
} | 1 |
c22cec1796f2f52036673550667aae4b | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 2}, {"weight": 5, "source": 2, "targ... | {"states": [219, 218], "expectation_value": -11.304301563680507, "params": [[-0.0397], [0.0697]], "bitstrings": ["100100100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.00380028544270063, 0.004427649809416347], "optimization_time": 1.9785759449005127} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022550136038931325) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022550136038931325) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022550136038931325) q[2];
cx q[0], q[2];
rz(1.5706696547603212) q[0];
rx(1.5752335318930322) q[0];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IZIIZIIII",
"IIZIZIIII",
"IZZIIIIII",
"ZIIZIIIII",
"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,
11.5,
2,
19.5,
11.5,
23.5,
17,
13.5,
3,
4.5
] | 0.798275 | [
0.022550136038931325,
-1.5647798587286847,
1.5706696547603212,
-1.5704337829937085,
-1.5705745241370213,
-1.5703057136803882,
-1.5706971062399833,
1.5706462974086588,
1.5752335318930322
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -86.5,
"target_ratio": 0.97,
"target_value": -83.905
} | 249 |
49178776ac26264118c80ca0dee8c33c | 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": 7, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 7, "s... | {"states": [255, 1], "expectation_value": -2.607672759715262, "params": [[0.059300000000000005, 0.0757], [-0.032600000000000004, -0.06330000000000001]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.00520191973360415, 0.00543998612164584], "optimization_time": 4.215159654... | -1.75 * (Z(0) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(8)) + -2.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(7) @ Z(1)) + -2.0 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.005209796556052758) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.508260866961924) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(0.005209796556052758) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-0.21190051229646908) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"ZIIIIZIII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZIIZII",
"IIIZIZIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IIIIZIZII",
"IZIIZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIZII",
"... | [
-1.75,
2,
-0.75,
-1.75,
-1,
-0.5,
-0.25,
-2.25,
-1,
-1.75,
-2,
-1,
-0.5,
-1,
-1.75,
-1.5,
-0.75,
3,
-0.25,
0.75,
-0.75,
0.75,
0,
-2.25,
-0.75,
-0.5
] | 0.842865 | [
0.005209796556052758,
2.270453380095507,
-0.508260866961924,
-0.06326024713277677,
-0.21190051229646908,
0.10461311018688012,
-0.5338613981254241,
-0.05361648050838588,
-0.46118159609524406,
-0.5519498879422366,
-1.2780043064135709,
-0.7661969612317444,
-1.6536062948954986,
-0.030636363917... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 500 |
4d70328aecc8c1ea3157fc10838636c1 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [5, 7], "expectation_value": -7.572587521353903, "params": [0.1986, 0.2601, 0.1462, 0.27030000000000004, 0.23040000000000002, 0.2675, 0.1477, 0.2747, 0.54, 0.11750000000000001, 0.5119, 0.1625, 0.5102, 0.1189, 0.1907, 0.2646, 0.14200000000000002, 0.2697, 0.2258, 0.2644, 0.1411, 0.275, 0.5381, 0.14170000000000... | 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(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 3 | 7 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.027915315044976848) q[0];
rz(0.9079317232921404) q[0];
rx(-0.075741799279953) q[1];
rz(0.40344095680944037) q[1];
rx(-0.19726492599124124) q[2];
rz(0.3090192037444801) q[2];
rx(-0.054457467281475554) q[3];
rz(0.31152701050214304) q[3];
rx(0.980611838329351) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
-3.5,
-3.25,
-3.25,
-3.5,
-3,
-3,
-3
] | 0.978518 | [
-0.02791531504497685,
0.7987750073775817,
-0.075741799279953,
0.1807703503826541,
-0.1972649259912412,
0.22315061411334475,
-0.05445746728147556,
0.17837210837707032,
0.980611838329351,
0.17196108918343747,
0.6762345045023291,
0.17168297010729175,
0.779897852478124,
-0.09894333872144807,
... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 17 |
8732464698204845961 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [0, 4, 6], [1, 2, 5], [0, 5], [2, 3, 5], [0, 1, 2], [1, 2, 3], [1, 4, 5]]} | {"states": [108, 47], "expectation_value": -1.0871581336635772, "params": [[-0.3578], [0.3642]], "bitstrings": ["0010011", "1010000"], "total_optimization_steps": 40, "probabilities": [0.025619887063163163, 0.025746271466168667], "optimization_time": 1.604992151260376} | 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.33333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["1010000"], "largest_eigenvalue": 7.0} | 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[2];
rz(-0.7609803600751135) q[2];
cx q[4], q[2];
cx q[4], q[0];
rz(-0.0854060585548467) q[0];
cx q[4], q[0];
cx q[2], q[0];
rz(-0.0854060585548467) q[0];
cx q[2], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.0854060585548... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[0];
rz(x1) q[0];
cx q[4], q[0];
cx q[2], q[0];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIZIZII",
"IIZIIIZ",
"IIIIZIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIZI",
"IIIIZZI",
"IIIIIZZ",
"IZZIIII",
"IZIIZII",
"IZIIIIZ",
"IZIIIZI",
"IIIZZII",
"IIIZIZI",
"IZIZIII",
"IIZIIII",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.33333333333333326,
... | 0.532372 | [
-0.7609803600751135,
-0.0854060585548467,
-0.20716822558498751,
-0.5646845560659342,
0.7593245790859141
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -2.3333333333333335,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 120 |
efdf1647847c4caab8e1de5e0281093e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 6, "source": ... | {"states": [257, 271], "expectation_value": -31.3246313012447, "params": [[[-0.0031000000000000003, 0.0029000000000000002], [0.002, 0.0024000000000000002], [0.0021000000000000003, 0.0018000000000000002], [3.1383, -0.0025], [0.0028, 0.0031000000000000003], [0.0024000000000000002, 0.0027], [0.0025, 0.0017000000000000001]... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -1.5 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + 3.25 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(7)) + -1.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(5)) + -1.5 * (Z(10) @ Z(... | 15 | 12 | 1 | {"smallest_eigenvalues": [-32.25, -32.25, -32.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -30.25, "smallest_bitstrings": ["111011110000", "111011010000", "110011010000"], "largest_eigenvalue": 39.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.08983026056133703) q[0];
ry(0.07826537817456213) q[1];
ry(-0.07670810242923236) q[2];
ry(3.1391959949632318) q[3];
ry(0.0015147403424439487) q[4];
ry(-0.008674444542019426) q[5];
ry(-0.11756990495208185) q[6];
ry(-0.11756990495208185) q[7];
ry(-0.00867444454201942... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIZZIIIIII",
"IIIIIIIIZIIZ",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIIIZIZIII",
"IIIZIIIIIIZI",
"IIIZIZIIIIII",
"IIIZIIIIZIII",
"IIIZIIZIIIII",
"IZIIIZIIIIII",
"IZIIIIIIZIII",
"IZIZIIIIIIII",
"IIIIIZIIIZII",
"IIIIIIZII... | [
-0.5,
-0.5,
-1,
-1.5,
-1.25,
3.25,
-0.5,
-1.5,
-0.25,
-1,
-0.25,
-1,
-0.5,
-1.5,
-0.5,
-1.75,
-1.5,
-1.5,
-1,
-0.75,
-0.5,
-1,
-1.5,
-2.25,
-0.75,
-1.5,
-0.25,
-0.5,
-1.5,
-1.5,
-3.5,
-0.25,
2.5,
-0.25,
1,
-3.25,
3,
2,
-1.25,
-3.75,
-1.... | 0.970335 | [
0.08983026056133703,
0.07826537817456213,
-0.07670810242923236,
3.1391959949632318,
0.0015147403424439487,
-0.008674444542019426,
-0.11756990495208185,
0.09056471948570693,
3.0904916535393783,
-0.02999893809638503,
-0.11270410328996566,
0.06135106228109971,
0.002866314899400771,
-0.0728370... | {
"n_parameters": 20,
"n_qubits": 12,
"optimal_eigenvalue": -32.25,
"target_ratio": 0.97,
"target_value": -31.2825
} | 8 |
86e4b8099a203166b41398b899a0f326 | 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": [1265, 1249], "expectation_value": -106.87286194141028, "params": [3.0899, 0.0029000000000000002, 0.0021000000000000003, 0.0001, 0.45480000000000004, 0.0079, 3.0915000000000004, 0.0064, 3.1003000000000003, 0.0079, 3.0976000000000004, 0.0061, 1.472, 0.0058000000000000005, 0.003, 0.0004, -0.0024000000000000002... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(4) @ Z(6)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(9) @ Z(0)) + 7.0 * (Z(10) @ Z(3)) + 7.0 * (Z(10) @ Z(6)) + -6.5 * Z(1) + 8.0 * Z(0) + 15.0 * Z(3) + 2.5 * Z(2) + 18.0 * Z(6) + 15.0 * Z... | 18 | 11 | 1 | {"smallest_eigenvalues": [-118.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.0, "smallest_bitstrings": ["01100011110"], "largest_eigenvalue": 166.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(3.1002514144299993) q[0];
rz(0.0043562273855966005) q[0];
rx(0.14848559985371634) q[1];
rz(0.009171468709625985) q[1];
rx(0.06539610390173006) q[2];
rz(0.15447938161402708) q[2];
rx(3.0038629024387307) q[3];
rz(0.1673886050680007) q[3];
rx(3.111598146377786) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIZIIZIII",
"IIIIZIZIIII",
"IIIIIZIIZII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IIIZIIZIIII",
"IZIIIIIIIIZ",
"ZIIIIIIZIII",
"ZIIIZIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIZIIIIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
-6.5,
8,
15,
2.5,
18,
15,
16,
-2.5,
-6.5,
8.5,
-11.5
] | 0.974925 | [
3.1002514144299993,
0.0511726817454221,
0.14848559985371634,
0.009171468709625985,
0.06539610390173006,
0.15447938161402708,
3.0038629024387307,
0.1673886050680007,
3.111598146377786,
3.193527233899964,
-0.31322916751003677,
0.4450281490896323,
0.08764639303382075,
-0.24575630906617102,
... | {
"n_parameters": 29,
"n_qubits": 11,
"optimal_eigenvalue": -118,
"target_ratio": 0.97,
"target_value": -114.46
} | 9 |
edf882d81ff9cc6dd04b2b372b99a445 | 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": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [95, 127], "expectation_value": -7.991832960744636, "params": null, "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 98, "probabilities": [0.11657775813715437, 0.5751793152187943], "optimization_time": 191.06436896324158} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-1.294178110467672) q[0];
h q[1];
ry(0.1383616754257138) q[1];
h q[2];
ry(1.575815943169374) q[2];
h q[3];
h q[4];
ry(0.787907971584687) q[4];
cx q[2], q[4];
ry(-0.787907971584687) q[4];
cx q[2], q[4];
h q[5];
ry(0.8388306177923908) q[5];
cx q[3], q[5];
ry(-0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIZIIIZI",
"ZIZIIIII",
"IZIIIZII",
"ZIIIIZII",
"IZIIZIII",
"IIZIZIII",
"IIIIZZII",
"IIIZIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIZZIIII",
"IIIZIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
-0.25,
-0.75,
1.25,
-1,
-0.75,
-1.5,
-0.75,
-0.5,
-1.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.5,
-1.25,
0,
-0.25,
-1,
-1,
0.5,
1.75,
-1.5,
1.5
] | 0.970238 | [
1.575815943169374,
1.432087070104017,
1.6776612355847815,
0.2767233508514276,
1.12397130943726,
0.7756512232512143,
0.9641730776805216,
-2.588356220935344,
-0.040075839562897835,
0.12549881444488223,
-0.21414780392445198,
0.47502116310819115,
0.5052557870900131,
-0.12045094258741418,
-0.... | {
"n_parameters": 50,
"n_qubits": 8,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 221 |
3115647320033794844 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [1, 3], [0, 1]]} | {"states": [6, 9], "expectation_value": -0.030445493331742984, "params": [[-0.0687], [0.0751]], "bitstrings": ["1001", "0110"], "total_optimization_steps": 10, "probabilities": [0.06634466488012673, 0.06634466488012673], "optimization_time": 0.7113404273986816} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.9359294885274897) q[2];
cx q[3], q[2];
rz(3.756293942558386e-09) q[2];
rx(0.7853981388251743) q[2];
cx q[3], q[1];
rz(-0.9359294885274897) q[1];
cx q[3], q[1];
cx q[1], q[0];
rz(-0.9359294885274897) q[0];
cx q[1], q[0... | 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[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
rz(x1) q[3];
rz(x1) q[2];
rz(x1) q[1];
... | null | {"circuits": [], "gradients": []} | [
"ZZII",
"ZIZI",
"IIZZ",
"ZIII",
"IZII",
"IIZI",
"IIIZ"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.586724 | [
-0.9359294885274897,
3.756293683506717e-9,
0.7853981388251744
] | {
"n_parameters": 3,
"n_qubits": 4,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 100 |
bdc39d8330d1d7cee03559144a025856 | 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": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 4, "s... | {"states": [0, 1], "expectation_value": -17.225175098402843, "params": [0.0038, 0.4549, 0.0022, 0.5862, 0.0023, 0.5630000000000001, 0.0027, 0.5964, -0.0017000000000000001, 0.0049, 0.0029000000000000002, 0.4597, 0.0057, -0.14930000000000002, 0.0025, 0.449, 0.8049000000000001, 0.0037, 0.0036000000000000003, -0.0348000000... | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + -1.5 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(3)... | 4 | 9 | 2 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.051630824347007026) q[0];
rz(-0.1464661220764576) q[0];
rx(-0.06729308463696425) q[1];
rz(-0.05111942679371495) q[1];
rx(-0.020870183822651243) q[2];
rz(-0.07271017724579565) q[2];
rx(0.022739634605724535) q[3];
rz(-0.06734135895324567) q[3];
rx(0.0219327629703353... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIZZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"... | [
-1.25,
-1.25,
-0.5,
-1.5,
-1,
-1,
-1.5,
-1.5,
-1,
-1.5,
-0.75,
-0.5,
4.5,
-1,
-0.75,
-0.25,
-1.25,
-1.5,
-0.25,
-3.75,
1.25,
2,
0.5,
0.5,
2.5,
-1.25
] | 0.975613 | [
-0.05163082434700701,
-0.054822364338722916,
-0.06729308463696423,
-0.10464284211338082,
-0.02087018382265124,
-0.1018630173328687,
0.022739634605724535,
-0.12987567485549695,
0.021932762970335314,
-0.2311231351797588,
-0.02203873980031195,
-0.12925912873225243,
0.04971961462745458,
-0.203... | {
"n_parameters": 122,
"n_qubits": 9,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 6 |
3179afe1dc957b5c6c41286c03203dc8 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [338, 346], "expectation_value": -2.8520536308487294, "params": [[0.9968, 0.033, 1.0006000000000002, 0.002, 0.9989, 0.9931000000000001, -0.0068000000000000005, 0.9987, -0.0228], [1.0029000000000001, -0.0733, 0.9931000000000001, 0.0021000000000000003, 0.3927, 0.37260000000000004, -0.005200000000000001, 0.9975... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 10 | 9 | 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": ["010100101", "010110010", "010101100", "100100101", "010100110", "011100100", "001100101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13519463971453738) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.13519463971453738) q[5];
cx q[0], q[5];
h q[6];
cx q[1], q[6];
rz(-0.13519463971453738) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIIZ",
"IIIZIZIIZ",
"IIIZZIIIZ",
"IIIZZZIII",
"IIIZZZIIZ",
"IIZIZIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"IIIZIIZII",
"IZIIIIZII",
"ZIIIIIZII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
-0.25,
0.125,
-0.625,
-0.125,
0.25,
-... | 0.886931 | [
-0.13519463971453738,
-1.6691644219825768,
-0.6313546200021425,
0.11027252980613785,
1.1036832609062868,
-1.79926365316697,
1.0758154656507484,
1.9622076409523441,
-2.3901140905378706,
-1.0044660673943189,
-0.4784452543272119
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 352 |
-2075692636776882479 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 5, 7], [2, 4], [0, 4], [8, 1], [3, 5], [1, 6]]} | {"states": [29, 152], "expectation_value": -0.028854376596554737, "params": [[-0.048600000000000004], [0.0545]], "bitstrings": ["111100010", "101100111"], "total_optimization_steps": 10, "probabilities": [0.002068153119903949, 0.002068153119903949], "optimization_time": 2.094224214553833} | 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666663 * Z(5) + 0.16666666666666674 * Z(4) + 0.16666666666666666 * Z(7) + 0.0 * Z(2... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.8333333333333326, "smallest_bitstrings": ["111001000", "101001101", "111100010", "101100111"], "largest_eigenvalue": 3.5000000000000004} | 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[4];
rz(-0.27606508815080405) q[4];
cx q[5], q[4];
h q[6];
h q[7];
cx q[5], q[7];
rz(-0.27606508815080405) q[7];
cx q[5], q[7];
cx q[4], q[7];
cx q[5], q[3];
rz(-1.1032414258039782) q[3];
cx q[5], q[3];
rz(0.0684... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[5], q[7];
rz(x0) q[7];
cx q[5], q[7];
cx q[4], q[7];
rz(x0) ... | null | {"circuits": [], "gradients": []} | [
"IIIZZIIII",
"IZIZIIIII",
"IZIIZIIII",
"IIIIZIZII",
"IIIIZIIIZ",
"ZIIIIIIZI",
"IIIZIZIII",
"IIZIIIIZI",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIZIII",
"IIZIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666674,
0.16666666666666666,
0,
0,
0,
0,
0,
0
] | 0.638592 | [
-0.27606508815080405,
-1.1032414258039782,
0.06844865994187842,
0.7919367371963812
] | {
"n_parameters": 4,
"n_qubits": 9,
"optimal_eigenvalue": -2.8333333333333335,
"target_ratio": 0.97,
"target_value": -2.7483333333333335
} | 122 |
f4058862d2cc91e963663e2c69858d5f | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [1655, 1623], "expectation_value": -2.5160110611410222, "params": [2.6098000000000003, 0.0095, 2.6002, 0.008700000000000001, 0.0034000000000000002, 0.0035, 0.5728, 0.0041, 2.6051, 0.0004, 1.5664, 0.006, 2.5999000000000003, 0.008400000000000001, 0.2857, 0.001, 2.5914, 0.0094, 2.5897, 0.0014, 2.6051, 0.0025, 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)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(6) @ Z(4)... | 16 | 11 | 1 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.4375, "smallest_bitstrings": ["00110010010", "00110001100", "00110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.08155479116440284) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.08155479116440284) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.08155479116440284) q[3];
cx q[2], q[3];
rz(0.6726318576019645) q[2];
rx(1.4395567190828875) q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIZZZIII",
"IIIIIIIZIIZ",
"IIIIZIIIIIZ",
"IIIIZIIZIII",
"IIIIZIIZIIZ",
"IIIIZIZIIII",
"IIIZIIZIIII",
"IIZIIIZIIII",
"IIIZZIIIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIIZZIZII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625... | 0.857675 | [
-0.08155479116440284,
0.6726318576019644,
1.3685732063111773,
-1.9248268523404324,
1.3279290926971614,
1.4395567190828875,
-0.8198366260050157,
1.279399435917915,
1.24312089196522,
3.1061045586653235,
1.9879305316842095,
0.3855996081973117
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 350 |
4dc7eb2b16579aab0e582a9105750b79 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"source": 6, "ta... | {"states": [31, 127], "expectation_value": -8.106749666602122, "params": null, "bitstrings": ["1100000", "0000000"], "total_optimization_steps": 76, "probabilities": [0.15697998721560305, 0.46978021604161685], "optimization_time": 64.29788208007812} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 5 | 7 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["0000000", "0011000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.5517413785853308) q[0];
rz(2.803689702160259) q[0];
rx(0.5738410538043462) q[1];
rz(2.7933162495081607) q[1];
rx(0.0030785040495915125) q[2];
rz(1.931246459140004) q[2];
rx(-1.0109148204410165) q[3];
rz(2.5120193824806982) q[3];
rx(-0.9744558214063344) q[4];
rz(1.8... | null | {"node": 2} | {"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(1.5706) q[2], 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]... | [
"IIIIIZZ",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-1,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5
] | 0.970116 | [
0.5517413785853307,
1.2328933753653626,
0.5738410538043464,
1.2225199227132642,
0.0030785040495915133,
0.36045013234510787,
-1.0109148204410165,
0.9412230556858013,
-0.9744558214063344,
0.31932405041847894,
-0.8073804844757921,
-0.458178133271434,
-0.4328206050605488,
-0.041349717089578686... | {
"n_parameters": 140,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 494 |
c4f38c3f6d00b9cff0998d2f5aa9786b | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 3}, {"weight": 15, "source": 0, "target": 5}, {"weight": 17, "sourc... | {"states": [246, 244], "expectation_value": -19.389497039565104, "params": [[-0.0342, 0.0713], [0.0711, -0.041600000000000005]], "bitstrings": ["100001001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.005596325420510111, 0.007388025018903009], "optimization_time": 3.6641879081726074} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-96.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 180.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.047683234584553376) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.047683234584553376) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.047683234584553376) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.047683234584553376) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
23,
10.5,
17.5,
18.5,
13,
2.5,
16,
-2,
6
] | 0.970948 | [
-0.047683234584553376,
-1.4088876277973392,
0.8024123522048195,
-1.0703264407718112,
-0.7747679879325239,
-1.297237775249799,
0.6082928587592895,
-1.7547977543780797,
0.8257884085663604,
2.0858627036278214,
0.7717476530483658,
-0.006219933967597492,
-0.18805215775971956,
0.5983277950746078... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -96,
"target_ratio": 0.97,
"target_value": -93.12
} | 72 |
151037f60feb2ab36dd911279333468a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [25, 88], "expectation_value": -3.9890916346515803, "params": null, "bitstrings": ["1100110", "0100111"], "total_optimization_steps": 32, "probabilities": [0.0607191660472404, 0.8639381839616302], "optimization_time": 33.27216601371765} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 7 | 2 | {"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": ["1010110", "0100111", "1100110", "0101011", "0011011", "0010111"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.539452789434488) q[1];
h q[2];
cx q[2], q[1];
ry(0.539452789434488) q[1];
cx q[2], q[1];
ry(-0.5845116657967028) q[1];
ry(0.9834662797149554) q[2];
h q[3];
ry(1.5330096657731351) q[3];
ry(-0.11200390697869815) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.6575... | 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", ... | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IZIIZII",
"IIIIZZI",
"IZIZIII",
"IZZIIII",
"ZIZIIII",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-1
] | 0.993425 | [
-1.6575525822630313,
-1.449926247916613,
1.5330096657731351,
-0.9691702254542486,
-1.078905578868976,
0.7709667434794807,
0.7760692036349812,
-0.5005787858870715,
0.7322163787030611,
-0.45679582590987716,
0.41479415215994836,
-0.459057514051594,
-0.2554316797736514,
0.3373200785540253,
0... | {
"n_parameters": 26,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
aba6fa396d14e467ae0d99dd38e3c99d | 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": 3}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 6... | {"states": [3, 63], "expectation_value": -7.284690974673754, "params": null, "bitstrings": ["1111100", "1000000"], "total_optimization_steps": 75, "probabilities": [0.0508457179339568, 0.7824085210373644], "optimization_time": 116.67448163032532} | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + 0.0 * Z(3) + -0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6029463113024511) q[0];
h q[1];
h q[2];
ry(0.7929991718921372) q[2];
h q[3];
ry(0.8794283440467482) q[3];
h q[4];
ry(0.7775597893498037) q[4];
cx q[1], q[4];
ry(-0.7775597893498037) q[4];
cx q[1], q[4];
cx q[4], q[2];
ry(-0.7929991718921372) q[2];
cx q[4],... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[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", "... | [
"IIIZIIZ",
"IIIZIZI",
"IIZIIZI",
"ZIIZIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZIZII",
"ZIIIZII",
"IZIIIZI",
"ZZIIIII",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII"
] | [
-0.75,
-0.25,
-1.5,
-0.25,
1,
-0.75,
-0.75,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1.5,
0,
-0.25,
-0.75,
1,
-0.75,
-0.75,
1.5
] | 0.97193 | [
1.5743455116567144,
1.5551195786996075,
1.5859983437842744,
1.5572663646124898,
0.8452599701378314,
1.7588566880934964,
0.9720374565052816,
-1.2058926226049023,
-0.0008241090567600584,
0.3357831707759824,
-0.22263848914659737,
0.09928482409924796,
-0.45654623459993954,
-0.20093592429500787... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 453 |
-8335504485545061947 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 2], [0, 1, 3, 4, 5, 6, 7, 8, 9], [2, 4]]} | {"states": [0, 479], "expectation_value": -0.07888578185595518, "params": [0.6899000000000001, 0.003, 0.6863, 0.0067, 0.6979000000000001, 0.0019, 0.6938000000000001, 0.0046, 0.7090000000000001, 0.0014, 0.7079000000000001, 0.0001, 0.7074, -0.0016, 0.7008, 0.0036000000000000003, 0.6939000000000001, 0.0014, 0.6822, 0.0033... | 0.5 * (Z(0) @ Z(2)) + 0.013888888888888888 * (Z(1) @ Z(0)) + 0.013888888888888888 * (Z(3) @ Z(0)) + 0.013888888888888888 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.013888888888888888 * (Z(4) @ Z(0)) + 0.013888888888888888 * (Z(4) @ Z(1)) + 0.013888888888888888 * (Z(4) @ Z(3)) + 0.013888888888888888 * (Z(5) @ Z(0)) + 0.0... | 6 | 10 | 1 | {"smallest_eigenvalues": [-1.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.1666666666666676, "smallest_bitstrings": ["1000100000"], "largest_eigenvalue": 1.9999999999999978} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.10942736683996268) q[0];
rz(1.8644510701548977) q[0];
rx(1.3479117636340399) q[1];
rz(-0.02732373668630217) q[1];
rx(2.599068305367154) q[2];
rz(1.1432094582195411) q[2];
rx(2.4584744180258826) q[3];
rz(0.6606736080334739) q[3];
rx(-0.18654039776040912) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZIIIIZ",
"IIIIZIIIZI",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIIIZ",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIIIIIIZ",
"IIZIIIIIZI",
"IIZIIIZIII"... | [
0.5,
0.013888888888888888,
0.013888888888888888,
0.013888888888888888,
0.5,
0.013888888888888888,
0.013888888888888888,
0.013888888888888888,
0.013888888888888888,
0.013888888888888888,
0.013888888888888888,
0.013888888888888888,
0.013888888888888888,
0.013888888888888888,
0.013888888888... | 0.970587 | [
0.10942736683996268,
0.29365474336000086,
1.3479117636340399,
-1.598120063481199,
2.599068305367154,
-0.4275868685753551,
2.4584744180258826,
-0.9101227187614226,
-0.1865403977604091,
0.05703409677214865,
1.1000414945650077,
0.23869960251546785,
1.1314700267859434,
-0.5485357281372563,
1... | {
"n_parameters": 47,
"n_qubits": 10,
"optimal_eigenvalue": -1.166666666666668,
"target_ratio": 0.97,
"target_value": -1.131666666666668
} | 152 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.