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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
fc2a0aab6aa71710f421b73642e2514f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [56, 50], "expectation_value": -4.499937482234164, "params": null, "bitstrings": ["000111", "001101"], "total_optimization_steps": 26, "probabilities": [1.6356494447410052e-05, 0.9999687417661157], "optimization_time": 15.893229961395264} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + 0.0 * Z(1) + -1.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.11242251953068062) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.11242251953068062) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.11242251953068062) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(0.1124225... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZIIZ",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"IIZIZI",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
0,
-1
] | 0.886139 | [
0.11242251953068062,
0.7188618997790892,
-1.218608868119396,
0.06219707367807151,
-1.3014966604495342,
0.814754047515083,
-0.7136669890576299,
0.4534445368680647,
-0.6952065532198899,
0.5275019770757594,
0.01888035805324072,
-1.6254864120474146,
-0.7479707343602362,
0.5318744980053659,
0... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
9130309592135944624 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 4, 5, 7, 8], [0, 2, 4], [8, 2, 7], [1, 2, 5], [9, 3, 4], [0, 1, 7, 8, 9], [8, 9, 3, 1], [1, 4, 5, 6, 8], [0, 1, 4, 9], [2, 5, 6, 8, 9], [8, 1, 2, 3], [8, 1, 4, 7], [1, 3, 5, 6, 7, 8], [1, 2, 7]]} | {"states": [429, 427], "expectation_value": -3.1049940806980523, "params": [-0.0022, -0.0038, 1.3693, 1.7677, 1.3117, 1.8349000000000002, 1.5757, 1.5889, 1.5511000000000001, 1.5947, 1.6002, 1.528, 1.6698000000000002, 1.6184, 2.1852, 2.5738000000000003, 0.7699, 2.2749, 1.5681, 1.5682, 0.0026000000000000003, 0.8828, 2.25... | 0.21666666666666667 * (Z(3) @ Z(4)) + 0.1 * (Z(5) @ Z(4)) + 0.08333333333333334 * (Z(5) @ Z(3)) + 0.13333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333334 * (Z(7) @ Z(3)) + 0.08333333333333334 * (Z(7) @ Z(5)) + 0.18333333333333335 * (Z(8) @ Z(4)) + 0.25 * (Z(8) @ Z(3)) + 0.18333333333333335 * (Z(8) @ Z(5)) + 0.3833333... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.366666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2333333333333343, "smallest_bitstrings": ["1001010100"], "largest_eigenvalue": 14.000000000000005} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.014844558696888284) q[0];
rz(pi/2) q[0];
ry(1.390619386616031) q[1];
ry(1.3985841438136315) q[2];
ry(1.5916996211033545) q[3];
ry(1.3044651150885076) q[4];
ry(1.5976469509470033) q[5];
ry(1.5570026098346887) q[6];
ry(3.1564761231171707) q[7];
ry(0.5814928926038937... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIZIZIIIII",
"IZIIIZIIII",
"IZIIIIZIII",
"IZIIZIIIII",
"IZZIIIIIII",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIIIIZIZII",
"IIIIIIZZII",
"IIIIZIIZII",
"IIZIIIIZII",
"IZIIIIIZII",
"IIIIIIIZIZ",
"IIIIIZIIZI"... | [
0.21666666666666667,
0.1,
0.08333333333333334,
0.13333333333333333,
0.08333333333333334,
0.08333333333333334,
0.18333333333333335,
0.25,
0.18333333333333335,
0.3833333333333333,
0.25,
0.05,
0.05,
0.16666666666666666,
0.08333333333333333,
0.21666666666666667,
0.3333333333333333,
0.3... | 0.974152 | [
0.014844558696888284,
1.390619386616031,
1.3985841438136315,
1.5916996211033545,
1.3044651150885076,
1.5976469509470033,
1.5570026098346887,
3.1564761231171707,
0.5814928926038937,
1.3609530812881676,
-0.08609626590394581,
1.3445132254206167,
0.6251309748800714,
0.7422829629945507,
-1.67... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -3.366666666666668,
"target_ratio": 0.97,
"target_value": -3.265666666666668
} | 18 |
58fa04385078dcdc0b5f9361c481400a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [0, 24], "expectation_value": -3.4998646533653353, "params": null, "bitstrings": ["11111", "00111"], "total_optimization_steps": 16, "probabilities": [1.9001409475734607e-05, 0.9999182925217274], "optimization_time": 10.494192123413086} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11010", "00111"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIZIZ",
"IZZII",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"IIZZI",
"IZIZI",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"ZIIII",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
c27e04a1b516da945dec2e0c25bb156f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [1, 129], "expectation_value": -20.800899166497523, "params": [0.0037, 0.8405, 0.8377, -0.008400000000000001, -0.0026000000000000003, 1.3832, -0.0016, 0.3547, -0.0026000000000000003, 0.7905000000000001, -0.0025, 1.3825, -0.0026000000000000003, 1.3976000000000002, -0.0024000000000000002, 1.3258, 1.5728, -0.00... | -0.5 * (Z(0) @ Z(4)) + -1.75 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(7)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(... | 4 | 9 | 2 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["101111110"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.06967276814104263) q[0];
rz(-0.5208853132243405) q[0];
rx(0.37891887116917855) q[1];
rz(-0.049982881516559274) q[1];
rx(-0.13726470414877495) q[2];
rz(-0.4430494836647938) q[2];
rx(0.003126559692845046) q[3];
rz(-0.3648118766750441) q[3];
rx(0.09891199110043837) 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": []} | [
"IIIIZIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IIZIIIIZI",
"IZZIIIIII",
"IZIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIZIZII",
"IIZIIIZII",
"IZIIIIZII",
"IIIIZZIII",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"... | [
-0.5,
-1.75,
-1.25,
-1,
-0.5,
-0.25,
2,
-1,
-2.5,
-0.5,
-1,
-1.25,
-0.25,
-1.5,
-0.25,
-1.25,
-1.25,
-1.25,
-0.75,
-0.75,
-0.5,
0.75,
-0.25,
-2,
1.5,
-1.25,
0.75,
-0.5,
1.5,
-0.5
] | 0.980767 | [
-0.06967276814104263,
-0.5077052066360224,
0.37891887116917855,
0.11250276711834724,
-0.137264704148775,
-0.45793354836872574,
0.003126559692845046,
-0.42011945932490585,
0.09891199110043836,
-0.5070494861943647,
0.07526411138815307,
-0.5086162215845557,
-0.0346396890206757,
-0.66674823848... | {
"n_parameters": 124,
"n_qubits": 9,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 7 |
7af7d775bcaae53afe2e6cd801577577 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4... | {"states": [61, 63], "expectation_value": -0.09484813060555487, "params": [[0.049800000000000004], [-0.0393]], "bitstrings": ["1000010", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008335853869296864, 0.008396839484586771], "optimization_time": 2.6549837589263916} | -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[... | 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"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 |
eae8cd3fdd6c48bfe81a3803c36d609c | 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}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 6}, {"capac... | {"states": [337, 371], "expectation_value": -19.90819577385131, "params": null, "bitstrings": ["1010101110", "1010001100"], "total_optimization_steps": 100, "probabilities": [0.14142317789306816, 0.5129324423086077], "optimization_time": 295.8637297153473} | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + 3.75 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(3)) + -0.25 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(7)) + -1.25 * (Z(1)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.75, "smallest_bitstrings": ["1010001100"], "largest_eigenvalue": 25.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.0533417252704885) q[0];
h q[1];
h q[2];
ry(-1.5705525220907608) q[2];
h q[3];
ry(0.009834971265462386) q[3];
cx q[1], q[3];
ry(-0.009834971265462386) q[3];
cx q[1], q[3];
ry(1.6386812413640512) q[1];
h q[4];
h q[5];
ry(1.4993579325441821) q[5];
h q[6];
ry(... | null | {"source": 0, "sink": 9} | {"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(-1.4894) 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... | [
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIZIIIZII",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZIIIZIII",
"IIZZIIIIII",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"IIIIIIZIZI",
"IIZIIIIIZI",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIIIZIIZI",
"IZIIIIIZII",
"IZIIIIZIII"... | [
-0.5,
-1.25,
-0.5,
-1.25,
-0.25,
-0.25,
-0.5,
-0.75,
-1.25,
3.75,
-1.25,
-0.25,
-0.5,
-1.25,
-0.25,
-0.25,
-0.5,
-1,
-0.5,
-0.5,
-1.25,
-0.75,
-0.5,
-1.25,
-0.75,
-0.75,
-1,
-0.5,
-0.5,
-0.5,
-2,
-0.25,
1,
-1.25,
-3.75,
0.5,
0,
0,
2.25,
3... | 0.970244 | [
-1.6484608139549197,
1.4993579325441821,
-1.5705525220907608,
0.106683450540977,
1.8693053555204904,
-0.9702061114407344,
-0.18232672389765608,
-0.16942198089353727,
-0.016225086356709134,
0.019669942530924772,
0.12950681021722085,
0.5464250680885759,
1.4199640218199987,
0.3772353680375361... | {
"n_parameters": 43,
"n_qubits": 10,
"optimal_eigenvalue": -23.75,
"target_ratio": 0.97,
"target_value": -23.037499999999998
} | 81 |
9551046ccc9dd029d28dbd33e8ca0f1e | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [20, 98], "expectation_value": -0.20247983599031308, "params": [[0.062400000000000004], [-0.0483]], "bitstrings": ["1101011", "0011101"], "total_optimization_steps": 10, "probabilities": [0.008439233284639488, 0.008632442104878], "optimization_time": 3.0291991233825684} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011101"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.3663236075024421) q[0];
rz(0.06788378276183282) q[0];
rx(0.2786266742046423) q[1];
rz(0.1607403182741569) q[1];
rx(0.008444709122338223) q[2];
rz(0.15736575455056867) q[2];
rx(0.04037693558044568) q[3];
rz(0.21065412104015957) q[3];
rx(0.017583446972231423) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIIZIZI",
"IIZIIZI",
"ZIZIIII",
"ZIIIIZI",
"IZIIZII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"ZIIIIII",
"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,
-1.5,
-1,
-1.5,
-1.5,
-1.5,
-1,
-0.5
] | 0.971456 | [
0.3663236075024421,
-0.002973983983354467,
0.2786266742046423,
0.046945913968455516,
0.008444709122338221,
0.20323283847374896,
0.04037693558044568,
0.2338359100568723,
0.017583446972231423,
0.3053595873227363,
0.3942089818562906,
0.08070056892999547,
0.21443493750771944,
-0.44391007638670... | {
"n_parameters": 135,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 5 |
2398b0b8852b758caa629303970b584b | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [859, 830], "expectation_value": -0.4916444476694141, "params": [[0.0702, 0.06430000000000001, 0.0743, 0.0637], [-0.0811, -0.06620000000000001, -0.0777, -0.068]], "bitstrings": ["0010100100", "0011000001"], "total_optimization_steps": 10, "probabilities": [0.002537111214751697, 0.0025371112147516976], "optim... | 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)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(3) @ Z(7)) + ... | 1 | 10 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["0010100100", "1000010001", "0011000001", "0100010100"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.039254698902790326) q[0];
rz(pi/2) q[0];
ry(0.3648670593836806) q[1];
ry(0.3376361431186225) q[2];
ry(0.37423268336375176) q[3];
ry(0.5746655888699254) q[4];
ry(-0.09537820387184358) q[5];
ry(0.4618259931807873) q[6];
ry(0.43542575300609276) q[7];
ry(0.45015024645... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZZZIII",
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIIZIIZIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIZIIZIIZ",
"IIZIIIZIIZ",
"IIZZIIIIIZ",
"IIZZIIZIII",
"IIZZIIZIIZ",
"IIIIIZIIZI"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
... | 0.9724 | [
0.039254698902790326,
0.3648670593836806,
0.3376361431186225,
0.37423268336375176,
0.5746655888699254,
-0.09537820387184358,
0.4618259931807873,
0.43542575300609276,
0.45015024645460006,
0.02352608316433561,
0.3808695150484027,
-0.32131097767290606,
0.1267658218374237,
-0.03091676333232282... | {
"n_parameters": 152,
"n_qubits": 10,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 36 |
8868119259763015765 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [0, 3, 5], [1, 2], [0, 2, 3], [2, 5]]} | {"states": [14, 46], "expectation_value": -1.7081343583871011, "params": null, "bitstrings": ["110001", "010001"], "total_optimization_steps": 31, "probabilities": [0.43617628165933164, 0.4363280216011345], "optimization_time": 26.79905891418457} | 0.5 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.3333333333333333 * Z(3) + 0.333333333... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.8333333333333328, "smallest_bitstrings": ["001110", "101010", "010101", "010001", "110001"], "largest_eigenvalue": 3.4999999... | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.9849376974969309) q[0];
rz(1.6570402497690635) q[0];
rx(1.569944279358707) q[1];
rz(1.5221070789099356) q[1];
rx(2.1168918503284937) q[2];
rz(1.507283733028582) q[2];
rx(2.1721708303012006) q[3];
rz(1.6709081578155098) q[3];
rx(-3.024962909970945) q[4];
rz(1.741688... | 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(1.2292) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IZIIZI",
"IIZIIZ",
"ZIZIII",
"ZIIIIZ",
"IIIZZI",
"IIZZII",
"IIIZIZ",
"ZIIZII",
"IZIIII",
"IIIIZI",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0,
0,
0.3333333333333333,
0.3333333333333333,
0.16666666666666663,
0.16666666666666674
] | 0.985615 | [
0.9849376974969308,
0.08624392297416708,
1.569944279358707,
-0.04868924788496098,
2.1168918503284937,
-0.06351259376631485,
2.1721708303012006,
0.10011183102061308,
3.2582223972086415,
0.17089211056734818,
0.05704170011070364,
0.0936776049951992,
1.233950902787103,
0.7868343913098163,
1.... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 15 |
3341929097840712087 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2], [1, 6], [2, 4, 6], [0, 3], [0, 6], [5, 6]]} | {"states": [102, 25], "expectation_value": -0.06354726822948431, "params": [[0.07680000000000001], [-0.07680000000000001]], "bitstrings": ["0011001", "1100110"], "total_optimization_steps": 10, "probabilities": [0.008778489745628277, 0.008840731365127696], "optimization_time": 0.5120744705200195} | 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666663 * Z(2) + 0.0 * Z(1) + 0.16666666666666674 * Z(6) + 0.16666666666666666 * Z(4... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["1100110"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6739827382501179) q[0];
h q[1];
ry(-0.2093074994421133) q[1];
h q[2];
h q[3];
ry(0.7396467542561603) q[3];
h q[4];
ry(-0.3667354660683446) q[4];
h q[5];
ry(-0.6739827382501179) q[5];
h q[6];
cx q[6], q[1];
ry(0.2093074994421133) q[1];
cx q[6], q[1];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[6];
rz(x1) q[6];
cx q[2], q[6];
cx q[1], q[6];
rz(x0) q[6];
cx q[1], q... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"ZIIIZII",
"ZIIIIZI",
"IIZIZII",
"ZIZIIII",
"ZIIIIIZ",
"IIIZIIZ",
"ZZIIIII",
"IIIIZII",
"IIIIIZI",
"ZIIIIII",
"IIZIIII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666663,
0,
0.16666666666666674,
0.16666666666666666,
0,
0,
0
] | 0.971722 | [
-0.4186149988842266,
1.5557881195942598,
-1.3479654765002358,
1.4792935085123207,
-0.4863496645788842,
0.9308792778121329,
-0.8947793312271248,
-0.15348780794357786,
-0.45964011326310195,
0.39499111603385006,
-0.7334709321366892,
-0.5603766939077279,
0.2783685698382819,
-0.2821863070397698... | {
"n_parameters": 43,
"n_qubits": 7,
"optimal_eigenvalue": -2.8333333333333335,
"target_ratio": 0.97,
"target_value": -2.7483333333333335
} | 16 |
37b183b4dc70145272a31a80cccd7f15 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [0, 1], "expectation_value": -10.769775861797891, "params": [0.0057, 0.2554, 0.0024000000000000002, 0.5956, 0.007200000000000001, 0.0088, 0.0024000000000000002, -0.5968, 0.0027, 0.5730000000000001, 0.0025, -0.521, 0.0028, 0.5858, 0.802, 0.005200000000000001, 0.0018000000000000002, 0.0032, 0.00240000000000000... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(5) @ Z(1)) + -2.25 * (Z(5) @ Z(2)) + -1.25 * (Z(7) @ Z(4)) + 1.5 * (Z(7) @ Z(0)) + 0.75 * Z(4) + -... | 3 | 8 | 2 | {"smallest_eigenvalues": [-11.25, -11.25, -11.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000", "11111110", "10000010"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.11174149834812648) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.5516557895705306) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(-0.317004216547579) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[0], q[6];
rz(0.04186691593615... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIZIIIZ",
"IZIIIIIZ",
"IIIZIIZI",
"IZIIIIZI",
"IZIIIZII",
"IIIIIZZI",
"IIIZZIII",
"IIIIZIZI",
"IIIIZZII",
"IIZIIIZI",
"IIZIIZII",
"ZIIZIIII",
"ZIIIIIIZ",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.75,
-0.5,
-0.25,
-0.25,
-0.25,
-1,
-2,
-1,
-1,
-1.25,
-2.25,
-1.25,
1.5,
0.75,
-0.25,
0,
0.75,
-2.5,
-0.5,
1.5,
0.25
] | 0.845041 | [
-0.11174149834812648,
0.04186691593615775,
-0.5516557895705306,
-0.6331641652637868,
-0.317004216547579,
-0.2894627742225626,
-0.5891981736167695,
0.1701236134999354,
0.13608382337417127,
-0.24570874744628493,
-0.0015216716957055067,
0.8217944700284973,
-1.232959284409201,
-0.2646386024022... | {
"n_parameters": 25,
"n_qubits": 8,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 489 |
0b4befd1b6021b98538c021e6b01d7d2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [62, 30], "expectation_value": -1.8300229697024788, "params": [0.0057, -0.0016, 0.29100000000000004, 0.2805, 0.3902, 0.3735, 0.40700000000000003, 0.4058, 0.40340000000000004, 0.3967, 0.4045, 0.40850000000000003, 0.4042, 0.4006, 0.0026000000000000003, -0.0001, -0.0011, 0.006200000000000001, 0.2788, 0.2707, 0.... | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(1) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(5) @ Z(6)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(3) @ Z(7) @ Z(5)) ... | 14 | 8 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5, "smallest_bitstrings": ["11001001", "11000011", "11100001", "10101001", "10110001"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.01397968868372599) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.01397968868372599) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.01397968868372599) q[2];
cx q[0], q[2];
rz(1.49705474763927) q[2];
rx(-0.4289462383307536) q[2];
h q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIIZZIZI",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IZZIIIIZ",
"IIZIZIII",
"ZIIIZIII",
"ZIZIIIII",
"ZIZIZIII",
"IIIZIZII",
"IZIIIZII",
"IZIZIIII",
"IZIZIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.25,
-0.25,
0,
0,
0,
0,
-0.75
] | 0.970109 | [
0.01397968868372599,
0.5085249205910766,
-1.5267868634678496,
1.4970547476392697,
1.2949275225586785,
-1.1149933922168591,
0.9054003815470787,
-0.49552292257893105,
-0.4289462383307536,
0.0177838660194501,
1.054237269205935,
0.14538943434979795,
0.4013926854345311,
0.14512282522157288,
-... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 55 |
295827ef8e8bc1a59c2d5aefad74f913 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 4}, {"capac... | {"states": [0, 1], "expectation_value": -20.864822863839436, "params": [-0.0033, 0.009000000000000001, 0.0022, 0.006, 0.0027, 0.00030000000000000003, 0.0023, 0.0077, 0.0026000000000000003, 0.0036000000000000003, 0.0025, 0.0049, 0.0024000000000000002, 0.006200000000000001, 0.0025, 0.007, -0.0026000000000000003, 0.006, 1... | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + -1.0 * (Z(8) @ Z(5)) + -1.25 * (Z(3)... | 3 | 10 | 1 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.1074975055836625) q[0];
rz(-0.24134500490391808) q[0];
rx(-0.002474991455973498) q[1];
rz(-0.4571906006718045) q[1];
rx(-0.05136879397144355) q[2];
rz(-0.34768852534032035) q[2];
rx(0.008294293644839822) q[3];
rz(-0.29806888598817416) q[3];
rx(-0.1030104342503928... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIIZIIIZII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZIIZIIIII",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIZIIZIII",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZIZIIIII",
"IIZIIIZIII"... | [
-1.25,
-1.25,
-1,
-1.25,
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.75,
-1,
-1.25,
-1.25,
-2.25,
-0.75,
-0.25,
-2.5,
-1,
2.5,
-1,
-4.5,
-0.25,
1.25,
-0.25,
1.75,
1,
-1.25,
0.25,
0.5,
1.5
] | 0.970536 | [
-0.10749750558366251,
-0.2797319149155471,
-0.002474991455973498,
-0.366143977228745,
-0.05136879397144355,
-0.3562482834096087,
0.008294293644839822,
-0.10301043425039287,
-0.2281232092623946,
0.12962781785921831,
-0.18351060837852673,
0.1311796410319733,
-0.1056752922990083,
0.0574159178... | {
"n_parameters": 92,
"n_qubits": 10,
"optimal_eigenvalue": -23.75,
"target_ratio": 0.97,
"target_value": -23.037499999999998
} | 3 |
6466653603989313711 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 2], [2, 7], [4, 5], [5, 6], [8, 3], [0, 8], [9, 2], [0, 6], [2, 5], [8, 7], [0, 9], [10, 5], [0, 7], [2, 10], [9, 5], [2, 3], [1, 11], [8, 9], [0, 11], [1, 6], [4, 6], [10, 6], [0, 5], [8, 11], [8, 6], [1, 9], [8, 10], [9, 3], [3, 6], [10, 3]]} | {"states": [3722, 373], "expectation_value": -0.24474805129820404, "params": [[0.0733], [-0.0574]], "bitstrings": ["000101110101", "111010001010"], "total_optimization_steps": 10, "probabilities": [0.0003062320149283083, 0.0003062320149283083], "optimization_time": 21.300249338150024} | 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -6.0, "smallest_bitstrings": ["111111001000", "110101001000", "001000110111", "110111001000", "000101110101", "000000110111", "000001110111", "111010001010", "... | OPENQASM 3.0;
include "stdgates.inc";
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];
cx q[2], q[8];
rz(0.42474407019927296) q[8];
cx q[2], q[8];
cx q[2], q[7];
rz(0.42474407019927296) q[7];
cx q[2], q[7];
cx q[2], q[5];
rz(0.42474407019927296) q[5];
cx q[2], q[5];
cx q[2], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[8];
rz(x0) q[8];
cx q[2], q[8];
cx q[2], q[7];
rz(x0) q[7];
cx q[2], q[7];
cx q[8], q[7];... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZII",
"IIIIZIIIIZII",
"IIIZZIIIIIII",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIZIZIIIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIIIIIIIZZII",
"IIIZIIIIZIII",
"IIIIIZIIZIII",
"IIIZIIIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIZIIIIIIZII",
"IIZZIIIIIIII",
"IIZIIIZII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.425054 | [
0.42474407019927296,
-1.0903670681945278e-8,
-0.6321476844649916
] | {
"n_parameters": 3,
"n_qubits": 12,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 85 |
e6d4bf8bab6d393f2c150724510f187b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 5, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -16.806077251673177, "params": [-0.012700000000000001, -0.0145, 0.0024000000000000002, 0.0046, 0.20270000000000002, 0.19770000000000001, 0.0033, -0.0017000000000000001, -0.0034000000000000002, 0.0049, 0.0007, 0.0008, -0.003, 0.0057, 0.004, 0.0015, 0.0041, 0.0026000000000000003,... | -0.25 * (Z(0) @ Z(6)) + -0.25 * (Z(7) @ Z(0)) + -1.25 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -1.25 * (Z(1) @ Z(10)) + -1.25 * (Z(8) @ Z(7)) + -2.75 * (Z(8) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(8)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(8)) + -1.5 * (Z... | 14 | 11 | 4 | {"smallest_eigenvalues": [-18.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.25, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 18.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.06941138938958438) q[0];
rz(pi/2) q[0];
ry(0.021032269738123575) q[1];
ry(0.49359828137072237) q[2];
ry(-0.04874755975529323) q[3];
ry(0.03164257797058245) q[4];
ry(0.10582139954740465) q[5];
ry(0.08276741036840396) q[6];
ry(0.05684745706352661) q[7];
ry(-0.114903... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZ",
"IIIZIIIIIIZ",
"ZIIIIIIIIIZ",
"IIIIZIIIIZI",
"ZIIIIIIIIZI",
"IIZZIIIIIII",
"IIZIIIIIIZI",
"IIIIZIIZIII",
"IIZIIIIZIII",
"IIIIZZIIIII",
"IIIIIZIZIII",
"IIIIIIZIIZI",
"IIZIIIZIIII",
"ZZIIIIIIIII",
"IZZIIIIIIII",
"IZIIIZIIIII",
"IIIIIIIIZIZ",
"ZIIIIIIIZII",
"IIZIIIIIZ... | [
-0.25,
-0.25,
-1.25,
-0.5,
-1.25,
-1.25,
-2.75,
-0.75,
-0.5,
-0.75,
-1.25,
-0.25,
-1.5,
-1.5,
-1.5,
-0.5,
2,
-0.25,
-1,
-0.75,
-0.25,
0.5,
-0.75,
1.75,
0.5,
0,
0,
-1.25,
-0.5,
0.75
] | 0.987091 | [
0.06941138938958438,
0.021032269738123575,
0.49359828137072237,
-0.04874755975529323,
0.03164257797058245,
0.10582139954740465,
0.08276741036840396,
0.05684745706352661,
-0.1149031828889262,
0.10569934563599136,
-0.07919791173373034,
0.1659692109155705,
0.24110183257197443,
0.0278389438932... | {
"n_parameters": 149,
"n_qubits": 11,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 7 |
beaa6cd1eb468409e2c2ed885f740060 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 8}, {"source": 1, "target": 5}, {"sour... | {"states": [126, 62], "expectation_value": -3.31021586678781, "params": [0.004, -0.4147, 0.1285, -0.37320000000000003, 0.5673, 0.1877, 0.7985, 0.0078000000000000005, 0.8063, 0.0015, 0.8067000000000001, 0.0026000000000000003, 0.809, 0.0056, 0.8064, 0.0119, 0.2844, 0.20550000000000002, 0.0058000000000000005, -0.2487, 0.1... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(8)) + -0.5 * Z(2) + -1.5 * Z(0) + 0.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z(8) + -0.5 * Z(1) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(7) | 4 | 9 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["111000001", "110000101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.23274656939531818) q[0];
rz(0.47103020814324514) q[0];
rx(0.15458051223363314) q[1];
rz(2.0539492667504744) q[1];
rx(0.06477802810329951) q[2];
rz(1.5803661086042045) q[2];
rx(1.2664418259003234) q[3];
rz(1.7155861742395189) q[3];
rx(0.5290185441758657) 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": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"ZIIIIIIIZ",
"ZIIIZIIII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIZII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
0,
-1,
-1,
-0.5,
0,
0,
0
] | 0.971522 | [
0.23274656939531818,
-1.0997661186516514,
0.15458051223363314,
0.4831529399555776,
0.0647780281032995,
0.009569781809308196,
1.2664418259003234,
0.14478984744462242,
0.5290185441758657,
-0.0347225673534787,
1.3534752650470407,
0.0026055795016944328,
0.5260485835604626,
-0.2612560177680441,... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 23 |
5a1527813da7c534130c872b3bb3e98c | 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": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, ... | {"states": [236, 109], "expectation_value": -9.582055420699614, "params": null, "bitstrings": ["00010011", "10010010"], "total_optimization_steps": 62, "probabilities": [0.07632024801692329, 0.6620715813116066], "optimization_time": 78.96136736869812} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + 0.0 * Z(4) + -0.25 * Z(0) + -2.25 * Z(6... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.29304397876910926) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.02674098017791228) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(-0.04175429471611432) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(... | 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[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... | [
"IIIZIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IIIZIIZI",
"IZIIIIZI",
"IIIZIZII",
"IZIIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"IIZZIIII",
"IZZIIIII",
"IZIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIZIIIII",
"IIIIZIII"
] | [
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-1,
-0.75,
1.25,
-1.25,
-1,
-0.5,
-1,
0,
-0.25,
-2.25,
1,
1,
0,
1.5,
-1
] | 0.971046 | [
0.29304397876910926,
0.02674098017791228,
-0.04175429471611432,
0.31653577106034975,
-0.7674656124835568,
0.11950634229219104,
-0.8301752525936286,
0.7774601513321433,
-0.3757443019400376,
-0.4588934753783208,
1.4706729354158479,
0.367692223145139,
0.11452940949680336,
-0.16572355263815042... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 167 |
c0497b20d0e680cacc77174a13e8b8b4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [66, 98], "expectation_value": -2.6008545947479664, "params": [[[0.14780000000000001, -0.0018000000000000002], [0.5985, 0.004200000000000001], [0.2627, -0.0049], [-0.030100000000000002, -0.0014], [-0.0149, 0.395], [0.5073, 0.5966], [0.18560000000000001, -0.041]], [[0.3866, -0.0008], [0.6033000000000001, -0.0... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(6) + 0.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 15 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["0101011", "1011100", "0111001", "1001110", "0011101", "0001111"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.0034026311700899) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-0.0034026311700899) q[0];
cx q[6], q[0];
rz(0.08707718680774468) q[0];
rx(1.6068609355902328) q[0];
cx q[6], q[4];
rz(-0.00340263117008... | OPENQASM 3.0;
include "stdgates.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": []} | [
"ZIIIIIZ",
"IIIZIZI",
"ZIZIIII",
"IIZZIII",
"IIZIIZI",
"IIIZZII",
"IZIZIII",
"IZIIZII",
"ZIIIIII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
-0.5,
-1,
-0.5,
-0.5
] | 0.970369 | [
-0.0034026311700899,
-0.26301475790782497,
0.08707718680774458,
1.5595170852256997,
1.5988629064548665,
1.6068609355902328,
-1.5706328661308941,
1.6822012540344695,
-0.1845861633258411,
1.1352603352915303,
0.43534770012848195,
-0.05375233225482663,
-0.1953687365154703,
3.189745870967778,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 166 |
-1115722780576075044 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 5], [0, 7], [1, 7], [1, 4], [2, 6], [0, 3]]} | {"states": [198, 228], "expectation_value": -0.06544291343351476, "params": [[0.0766], [-0.0724]], "bitstrings": ["00111001", "00011011"], "total_optimization_steps": 10, "probabilities": [0.004440275278488523, 0.004440275278488523], "optimization_time": 1.2865703105926514} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(0)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["00011011", "11000110", "11100100", "00111001"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(0.9359294386067569) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(0.9359294386067569) q[1];
cx q[4], q[1];
rz(1.2178503983051314e-08) q[4];
rx(-0.7853981563256112) q[4];
rz(1.2178503983051314e-08) q[5];
rx(-0.78... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[7]... | null | {"circuits": [], "gradients": []} | [
"IIZZIIII",
"ZIIIIIIZ",
"IIIZIIZI",
"ZIIIIIZI",
"IZIIIZII",
"IIIIZIIZ",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.586724 | [
0.9359294386067569,
1.2178503922216604e-8,
-0.7853981563256112
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 102 |
5140370187954014886 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[3, 12], [8, 9], [10, 12], [1, 3], [1, 7], [1, 6], [8, 12], [4, 5], [11, 3], [4, 7], [0, 5], [1, 2]]} | {"states": [6427, 6411], "expectation_value": -0.13201045441272474, "params": [0.8606, 0.8565, 0.8605, 0.861, 0.7055, 0.7028, 0.7130000000000001, 0.7136, 0.8637, 0.8617, 0.7177, 0.7165, 0.7101000000000001, 0.7089000000000001, 0.6995, 0.7092, 0.7289, 0.7224, 0.8524, 0.8511000000000001, 0.7110000000000001, 0.7173, 0.8617... | 0.5 * (Z(3) @ Z(12)) + 0.5 * (Z(8) @ Z(12)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(10) @ Z(12)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(11) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(12) + 0.0 * Z(3) + 0.0 * Z(8) + 0.0 * Z(9) ... | 13 | 13 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["0011011110100", "1100100001011"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.0711161813533763) q[0];
rz(0.03990800858830003) q[0];
ry(2.16564528132958) q[1];
ry(-0.15994445141800037) q[2];
ry(0.1708679950711865) q[3];
ry(2.124642813836338) q[4];
ry(-0.28660818510362795) q[5];
ry(0.6546567197256339) q[6];
ry(-0.08967592986968126) q[7];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIIZIII",
"ZIIIZIIIIIIII",
"IIIZZIIIIIIII",
"ZIZIIIIIIIIII",
"IIIIIIIIIZIZI",
"IIIIIZIIIIIZI",
"IIIIIIZIIIIZI",
"IIIIIZIIZIIII",
"IIIIIIIZZIIII",
"IZIIIIIIIZIII",
"IIIIIIIZIIIIZ",
"IIIIIIIIIIZZI",
"ZIIIIIIIIIIII",
"IIIIIIIIIZIII",
"IIIIZIIIIIIII",
"IIIZIIIIIIIII",
"IIZIIIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.974554 | [
1.0711161813533763,
2.16564528132958,
-0.15994445141800037,
0.1708679950711865,
2.124642813836338,
-0.28660818510362795,
0.6546567197256339,
-0.08967592986968126,
0.11867084434638052,
2.267348739964843,
-0.08835139893200217,
1.1004284673004383,
1.69087447493161,
0.07981601717660006,
0.11... | {
"n_parameters": 51,
"n_qubits": 13,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 66 |
9f6a09f991bf68484362b3872f6239a7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 5... | {"states": [1, 9], "expectation_value": -10.49999958399804, "params": null, "bitstrings": ["1111110", "1110110"], "total_optimization_steps": 21, "probabilities": [0.4999999519269191, 0.499999995836056], "optimization_time": 15.6940598487854} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(2)) + -1.25 * Z(1) + -... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110110"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5274762796530195) q[0];
ry(-0.05460135151509041) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5274762796530195) q[2];
h q[3];
h q[4];
ry(-1.5274762796530195) q[4];
h q[5];
ry(-1.5274762796530195) q[5];
h q[6];
ry(1.6197079894875082) q[6];
cx q[6], q[1];
ry(0.01122076... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIIZIZI",
"IZIZIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"ZIIZIII",
"IIIZZII",
"IIZIIZI",
"IZZIIII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII"
] | [
-1,
-1,
-0.75,
-0.25,
-0.25,
-0.5,
2,
-0.75,
-0.25,
-1.5,
-1.5,
-0.75,
-2,
-1.25,
-0.25,
0,
1.75,
0.5,
-2,
1.25
] | 0.998376 | [
-1.5274762796530195,
-1.5049742069886847,
1.6197079894875082,
-0.022441536582243415,
-0.08190499389509455
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 1 |
-9147183182829190284 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 4], [0, 1, 5, 6, 8, 9, 10], [0, 3, 5, 6, 8, 10], [0, 2, 3, 5, 6, 9, 10], [0, 8, 7], [4, 5, 6, 7, 9, 10], [8, 2], [0, 1, 2, 5, 6, 7, 9, 10], [1, 3, 4, 5, 7, 9], [1, 3, 6, 7], [2, 4], [1, 3, 4, 5, 9, 10], [0, 1, 3, 7, 9], [1, 4, 5, 7, 10]]} | {"states": [1965, 1961], "expectation_value": -1.7961660817133396, "params": [[0.1024, 1.4189, -0.0023, 1.5674000000000001, 0.0767, 1.5802, 0.0373, 1.5439, 0.0061, 0.32380000000000003, 1.4409], [1.7014, 1.6848, 1.7047, 1.5723, 1.1519000000000001, 1.5665, 1.0634000000000001, 1.5911000000000002, 1.4928000000000001, 1.087... | 0.5 * (Z(0) @ Z(4)) + 0.11666666666666667 * (Z(1) @ Z(4)) + 0.09166666666666667 * (Z(1) @ Z(0)) + 0.15000000000000002 * (Z(5) @ Z(4)) + 0.09880952380952379 * (Z(5) @ Z(0)) + 0.15833333333333333 * (Z(5) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(4)) + 0.09880952380952379 * (Z(6) @ Z(0)) + 0.125 * (Z(6) @ Z(1)) + 0.132142... | 10 | 11 | 1 | {"smallest_eigenvalues": [-3.6952380952380954], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.6642857142857146, "smallest_bitstrings": ["00001010110"], "largest_eigenvalue": 12.499999999999995} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.13196067043443338) q[0];
ry(2.169760261205696) q[1];
ry(-0.07368238423083558) q[2];
ry(2.3432211004422756) q[3];
ry(-0.04279343156698834) q[4];
ry(2.127986394437275) q[5];
ry(0.05726162256711157) q[6];
ry(1.1584750951323433) q[7];
ry(0.030498279756611135) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIIZIIZI",
"IIIIIIIIIZZ",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIIIIZIIIZI",
"IIIIZIZIIII",
"IIIIZIIIIIZ",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"IIZIIIIIIIZ",
"IIZIIIIIIZI",
"IIZIIZIIIII",
"IIZIZIIIIII",
"IZIIIIZIIII",
"IZIIIIIIIIZ",
"IZIIIIIIIZI",
"IZIIIZIIIII",
"IZIIZIIII... | [
0.5,
0.11666666666666667,
0.09166666666666667,
0.15000000000000002,
0.09880952380952379,
0.15833333333333333,
0.03333333333333333,
0.09880952380952379,
0.125,
0.13214285714285712,
0.2238095238095238,
0.023809523809523808,
0.05714285714285714,
0.05714285714285714,
0.1,
0.115476190476190... | 0.978427 | [
-0.13196067043443338,
2.169760261205696,
-0.07368238423083558,
2.3432211004422756,
-0.04279343156698834,
2.127986394437275,
0.05726162256711157,
1.1584750951323433,
0.030498279756611135,
-0.28577263428137534,
1.5803241512977235,
3.367547320928911,
0.8988687089267541,
3.243000199605148,
0... | {
"n_parameters": 22,
"n_qubits": 11,
"optimal_eigenvalue": -3.6952380952380954,
"target_ratio": 0.97,
"target_value": -3.5843809523809527
} | 40 |
b03b4f369d39855dc91503bf499dc5a0 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [4089, 3577], "expectation_value": -2.194467139124302, "params": [0.23650000000000002, 0.23720000000000002, 1.1976, 1.2037, 1.2052, 1.2026000000000001, 0.7773, 0.7689, 1.2043000000000001, 1.1965000000000001, 1.1981000000000002, 1.2034, 0.8549, 0.8595, 1.2002000000000002, 1.2033, 1.2073, 1.2059, 1.2038, 1.195... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4)) + 0.0625 * (Z(6) @ Z(5)) + -0.0625 * (Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(2)... | 13 | 13 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 34, "first_excited_energy": -3.0, "smallest_bitstrings"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cz q[12], q[11];
cz q[11], q[10];
cz q[10], q[9];
rx(-0.05725128083618839) q[10];
h q[10];
rx(-8.676543112786203e-06) q[11];
h q[11];
rx(-0.07524065655295899) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZZII",
"IIIIIIIIZIZII",
"IIIIIIIZIIZII",
"IIIIIIZIIIZII",
"IIIIIIIIZZIII",
"IIIIIIIZIZIII",
"IIIIIIZIIZIII",
"IIIIIIIZZIIII",
"IIIIIIZIZIIII",
"IIIIIIZZIIIII",
"IIIIIIIIZZZII",
"IIIIIIIZIZZII",
"IIIIIIZIIZZII",
"IIIIIIIZZIZII",
"IIIIIIZIZIZII",
"IIIIIIZZIIZ... | [
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.125,
0.125,
0.125,
0.125,
0.... | 0.046875 | [
-0.012959162544976525,
0.000029332238085715517,
0.09018978072976776,
-0.4962246203574187,
-0.220355200692189,
0.1334483097209786,
0.3974597015753095,
-0.6341106447499681,
0.10204652437840878,
0.024358320218039662,
-0.05725128083618839,
-0.000008676543112786203,
-0.07524065655295899,
0.0137... | {
"n_parameters": 35,
"n_qubits": 13,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 500 |
4ff6cd3ae35a7505dd00eb5f37bcfa52 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}], "edges": [{"weight": 2, "source": 0, "target": 3}, {"weight": 8, "... | {"states": [29, 93], "expectation_value": -34.313936543477794, "params": null, "bitstrings": ["11100010", "10100010"], "total_optimization_steps": 100, "probabilities": [0.1091240078813684, 0.22009271386072485], "optimization_time": 153.69335341453552} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(4)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + -3.0 * Z(0) + 15.0 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.09219022397749128) q[0];
cx q[1], q[0];
rz(-1.2871422316693653) q[0];
rx(0.10379619859919222) q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.09219022397749128) q[4];
cx q[1], q[4];
cx q[1], q[2];
rz(0.09219022397749128) q[2];
cx q[... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(7.7632) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIIIZZI",
"IIIZIZII",
"IIIIZIZI",
"IIIZZIII",
"IIIIZZII",
"IIZIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
-3,
15,
12,
17,
12.5,
5,
11.5
] | 0.979572 | [
0.09219022397749128,
0.8982429000207126,
-1.2871422316693646,
0.24599877936251585,
-0.9798884543189016,
0.6694199466030656,
0.8683968766675187,
-0.3547308698519625,
0.9369223338993231,
0.10379619859919209,
-0.08770470281201148,
0.5841101200094906,
-0.6227792457430795,
1.1403942607354456,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 37 |
-6086076243898743339 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 3, 5], [3, 4], [0, 1, 2, 3], [1, 2, 5], [0, 4, 5]]} | {"states": [58, 45], "expectation_value": -0.674849913674056, "params": [[0.3791], [-0.37920000000000004]], "bitstrings": ["000101", "010010"], "total_optimization_steps": 40, "probabilities": [0.03895484479744746, 0.039636287931299585], "optimization_time": 1.9498543739318848} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.25 * (Z(2) @ Z(1)) + 0... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.6666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5833333333333326, "smallest_bitstrings": ["010010"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-2.2632029622658724e-08) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-2.2632029622658724e-08) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-2.2632029622658724e-08) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-5.185480231... | 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IZIIIZ",
"IZZIII",
"ZZIIII",
"IIIZZI",
"IIIZIZ",
"IIZZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IZIIII",
"IIIZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.25,
0.08333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.41666666666666663,
0.41666666666666663,
0.25,
0.45833333333333337,
0... | 0.706954 | [
-2.2632029622658724e-8,
-5.1854802319867725e-8,
4.4820222046127474e-8,
1.5707962472526489,
1.5707965017283978,
1.5707962935438762,
-1.5707965413375213,
-0.9891747217392317
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -1.6666666666666665,
"target_ratio": 0.97,
"target_value": -1.6166666666666665
} | 185 |
c5b30b94cad3afd2b2d3cf8b55cce16a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [23, 7], "expectation_value": -5.880702341370544, "params": [[-0.0718, -0.050100000000000006, -0.062400000000000004], [0.0806, 0.06430000000000001, 0.0674]], "bitstrings": ["11101000", "11111000"], "total_optimization_steps": 10, "probabilities": [0.017829604659469228, 0.01783974931536741], "optimization_tim... | -0.75 * (Z(0) @ Z(1)) + -2.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.75 * (Z(7) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.25 * (Z(3... | 1 | 8 | 3 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["11101000", "11111000"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.03992472608385109) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00269159676729528) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.012002982498467882) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.03992472608385109) 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIZIIIII",
"IZIZIIII",
"ZZIIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII"
] | [
-0.75,
-2.75,
-0.5,
-0.75,
-1.5,
-1.75,
-0.25,
-0.25,
2.25,
-0.25,
-1.75,
-1.25,
-1.5,
-1.25,
-2.25,
-0.25,
-2,
0,
3,
-1.25,
4,
-1.25
] | 0.704523 | [
-0.03992472608385109,
-0.00269159676729528,
0.012002982498467882,
-0.027140045216093485,
0.025484428609887977,
0.1802066675376493,
1.9968684935125172,
-0.20796776869104522,
-1.5713798940041483,
-1.5612242179332285,
-0.06687445425594916,
1.6319185724475551,
1.523682567149112,
-1.28080419968... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 344 |
8838725750373529537 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [0, 8, 3, 7], [2, 7], [4, 6]]} | {"states": [15, 271], "expectation_value": -1.6343365326951143, "params": null, "bitstrings": ["111110000", "011110000"], "total_optimization_steps": 76, "probabilities": [0.19727844263910901, 0.25842478189407314], "optimization_time": 132.5055434703827} | 0.5 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(5) + 0.0 * Z(1) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["001111000", "011000101", "111000100", "001101100", "111010000", "00001101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-0.33925892631618654) q[1];
h q[2];
ry(-0.33925892631618654) q[2];
h q[3];
ry(-0.1294410969824633) q[3];
cx q[0], q[3];
ry(0.1294410969824633) q[3];
cx q[0], q[3];
ry(0.023273828607879382) q[0];
cx q[3], q[0];
ry(-0.023273828607879382) q[0];
cx q[3], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[6], 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... | [
"IIIZIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIIZIIZ",
"ZZIIIIIII",
"IZIIIIIIZ",
"IZIIIZIII",
"IZIIIIZII",
"IIZIZIIII",
"IIIZIIIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IZIIIIIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIIZIIII"
] | [
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0,
0,
0.125,
0.125,
0.125,
0.125,
0,
0,
0
] | 0.973353 | [
-0.6785178526323731,
1.2390398353361392,
-0.7251367207714554,
0.8866135314180551,
0.3784383811623363,
-0.4343188676766,
0.417669765295041,
0.5195840264733015,
-0.4715194401619346,
-0.4595886775076336,
-0.3555129553013261,
0.24811645595219736,
0.16439473904814217,
0.05038376563091735,
-0.... | {
"n_parameters": 62,
"n_qubits": 9,
"optimal_eigenvalue": -1.75,
"target_ratio": 0.97,
"target_value": -1.6975
} | 26 |
179242501914684100 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 6], [1, 2], [2, 3], [2, 5, 6], [1, 3, 5], [3, 4], [0, 2, 5], [0, 1, 5], [0, 2, 4], [0, 3]]} | {"states": [23, 86], "expectation_value": -2.904189905724379, "params": null, "bitstrings": ["1101000", "0101001"], "total_optimization_steps": 45, "probabilities": [0.06786856281579343, 0.8215806097586723], "optimization_time": 49.78305006027222} | 0.5 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.3333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["0101001"], "largest_eigenvalue": 7.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.6445852871393986) q[1];
h q[2];
h q[3];
ry(-0.20477889256854923) q[3];
cx q[2], q[3];
ry(0.20477889256854923) q[3];
cx q[2], q[3];
ry(-0.45542378608333367) q[3];
ry(1.2499460780047091) q[2];
cx q[2], q[1];
ry(0.6445852871393986) q[1];
cx q[2], q[1]... | 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(1.5298) 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", "... | [
"ZIIIIIZ",
"IIIIIZZ",
"ZIIIZII",
"IIIIZIZ",
"IIIIZZI",
"IIIZIIZ",
"IIIZIZI",
"IIIZZII",
"ZZIIIII",
"IZIIIIZ",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666663,
0.5,
0.... | 0.972378 | [
1.4819586700901126,
-0.40955778513709845,
1.2499460780047091,
-1.289170574278797,
-0.7677344758632336,
1.5294632172537423,
-0.9108475721666673,
-0.800042872657285,
0.20303359330494583,
1.4347494747178497,
0.18934921527539375,
-0.16106754943331078,
-0.33112676040472455,
0.22316894854485833,... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -3.166666666666666,
"target_ratio": 0.97,
"target_value": -3.071666666666666
} | 19 |
17a32941816fa4df4569cf15257148c1 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [131, 139], "expectation_value": -5.171247424888674, "params": [0.5017, 0.0509, 0.5017, 0.026500000000000003, 0.1012, -0.2632, 0.0985, -0.26890000000000003, -0.0126, 0.2975, -0.0195, 0.2929, 0.0044, 0.2758, 0.0016, 0.2713, 0.42100000000000004, 0.0682, 0.4268, 0.052700000000000004, -0.0066, 0.2724000000000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + -2.0 * Z(5) + 0.0 * Z(0) + -2.0 * ... | 5 | 8 | 2 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["01110100", "00011110"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.7343932018752404) q[0];
rz(0.24416277974243616) q[0];
rx(0.03234026833871654) q[1];
rz(-0.5255570726538101) q[1];
rx(-0.1901143179158953) q[2];
rz(0.31605679303349987) q[2];
rx(-0.16975206295306916) q[3];
rz(0.30587973002633895) q[3];
rx(0.7814139799377138) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IIZIZIII",
"IIIIZIZI",
"IIZZIIII",
"IIIZZIII",
"IIIZIIZI",
"IZIIIIZI",
"IIZIIZII",
"IIIIZZII",
"IIIZIZII",
"IZIIIZII",
"ZIZIIIII",
"ZIIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-2,
-1,
-1.5,
-0.5,
-1.5,
-0.5
] | 0.979688 | [
0.7343932018752404,
0.1539975852386541,
0.032340268338716546,
-0.32057850698039925,
-0.1901143179158953,
0.24399961138958923,
-0.16975206295306916,
0.19269802958236468,
0.7814139799377137,
0.00036877209868307025,
0.019924630487207766,
0.4080921674586548,
1.185318412470401,
0.10857992570206... | {
"n_parameters": 78,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 10 |
081a3ef2a02910794db9cb14b9d27e2c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [9, 12], "expectation_value": -1.972903235061299, "params": null, "bitstrings": ["10110", "10011"], "total_optimization_steps": 15, "probabilities": [0.07435629520367526, 0.8990326070136716], "optimization_time": 5.787497520446777} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10011", "01101", "11001", "10110", "01110"], "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(-0.3032958163120794) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3032958163120794) q[0];
cx q[2], q[0];
rz(0.8552742360724439) q[0];
rx(0.459671657095483) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.3032958163120794) q[3];
cx q[4],... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZIZ",
"ZZIII",
"IZIZI",
"ZIZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.971835 | [
-0.3032958163120794,
0.8552742360724437,
0.459671657095483,
-0.19969798362318422,
-0.5347021902916858,
0.39881531451821206,
-0.8390846379262727,
0.5552620141921045,
0.31915477986402796,
-0.8857236685748646,
1.4111741889625347,
0.36007566681044045
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 49 |
e4e902d97ba530f1316e54d3eb408a10 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [104, 38], "expectation_value": -0.38150891528344916, "params": [[0.081], [-0.0867]], "bitstrings": ["0010111", "1011001"], "total_optimization_steps": 10, "probabilities": [0.00955610171559001, 0.009556101715590013], "optimization_time": 1.557016134262085} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * Z(4) + -1.0 * Z(0) + -1.0 * Z(5) + -1.5 * Z(6) + -0.5 * Z(1) + -1.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0010111", "1011001"], "largest_eigenvalue": 13.0} | 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[0];
rz(0.20474932317858316) q[0];
cx q[4], q[0];
h q[5];
cx q[0], q[5];
rz(0.20474932317858316) q[5];
cx q[0], q[5];
cx q[5], q[2];
rz(0.20474932317858316) q[2];
cx q[5], q[2];
h q[6];
cx q[4], q[6];
rz(0.20474932317858... | 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[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[4], q[6];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"ZIIIIZI",
"IZIIZII",
"ZIIIZII",
"IIIIZZI",
"IIZZIII",
"IZIZIII",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"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,
-1,
-1.5,
-0.5,
-1.5,
-1
] | 0.801209 | [
0.20474932317858316,
-0.3240348787124287,
-1.2280362453781932,
0.9491017238101566,
-1.2025271500568493,
0.7929478611771115,
-1.1200018461967594,
-1.53273361901408,
-0.37000974357398864,
-0.4997670003334295
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 253 |
28dc3232636d41d764faa86ff53aeb94 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "ta... | {"states": [169, 86], "expectation_value": -0.06695940642283005, "params": [[0.007500000000000001, -0.378, 0.0009000000000000001, 0.0039000000000000003, 0.0073, 0.0058000000000000005, 0.0031000000000000003, 0.0099], [0.0057, 0.3714, 0.0027, 0.0056, 0.0005, 0.001, 0.0061, 0.0073]], "bitstrings": ["01010110", "10101001"]... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(7) + 0.0 * Z(3) + -1.0 * Z(4) | 9 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["10101001", "10111000", "01111000", "01101001"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-2.315903664796966) q[0];
h q[0];
rx(-1.5707962755146834) q[1];
h q[1];
rx(-2.144778102813379) 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] 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": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIZII",
"IZIIIZII",
"ZIIIZIII",
"IIZZIIII",
"IZIZIIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
-0.5,
-0.5,
-0.5,
0,
-1
] | 0.111111 | [
-2.315903664796966,
-1.5707962755146834,
-2.144778102813379,
1.9854097333565544,
-1.2395667708632894,
-0.5921865064443834,
-0.6711490810907522,
-0.7073351067000921,
0.4416323308131101,
1.5707963645030805,
-1.5123383124082974e-7,
-1.856932300999807,
0.8440962596629625,
-0.30267524781216787,... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 394 |
5a1527813da7c534130c872b3bb3e98c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, ... | {"states": [101, 109], "expectation_value": -9.694616998480177, "params": [[0.002, 0.0011, 1.5724, -0.0025, -0.8107000000000001, 0.6501, -0.0026000000000000003, 1.641], [-0.0024000000000000002, 2.8822, 1.572, -0.0026000000000000003, -1.1138000000000001, 2.5977, -0.0027, 1.4946000000000002]], "bitstrings": ["10011010", ... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + 0.0 * Z(4) + -0.25 * Z(0) + -2.25 * Z(6... | 10 | 8 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.29304397876910926) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.02674098017791228) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(-0.04175429471611432) q[1];
cx q[4], q[1];
cx q[4], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IIIZIIZI",
"IZIIIIZI",
"IIIZIZII",
"IZIIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"IIZZIIII",
"IZZIIIII",
"IZIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIZIIIII",
"IIIIZIII"
] | [
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-1,
-0.75,
1.25,
-1.25,
-1,
-0.5,
-1,
0,
-0.25,
-2.25,
1,
1,
0,
1.5,
-1
] | 0.971046 | [
0.29304397876910926,
0.02674098017791228,
-0.04175429471611432,
0.31653577106034975,
-0.7674656124835568,
0.11950634229219104,
-0.8301752525936286,
0.7774601513321433,
-0.3757443019400376,
-0.4588934753783208,
1.4706729354158479,
0.367692223145139,
0.11452940949680336,
-0.16572355263815042... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 167 |
2e72512b5ac9b27ecc5c8ce1c8887dbe | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [371, 370], "expectation_value": -79.44345652346601, "params": [0.2616, 0.4228, 0.9048, 0.0799, 0.227, 0.37070000000000003, 0.8981, 0.003, 0.9015000000000001, -0.0041, 0.9003, 0.1789, 0.45830000000000004, 0.3108, -0.0037, 0.5192, 0.8979, -0.0813, 0.4733, -0.1462, 0.26580000000000004, 0.4132, 0.902, 0.1267, 0... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(1)) + 6.0 * (Z(9) @ Z(4)) + 6.0 * (Z(8) @ Z(3)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(8) @ Z(9)) + 1.0 * Z(0) + 7.0 * Z(1) + 21.5 * Z(3) + 0.5 * Z(2) + 12.... | 18 | 10 | 3 | {"smallest_eigenvalues": [-104.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["1010001101"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.09374320228646413) q[0];
rz(0.43760258054911105) q[0];
rx(0.9571186981788526) q[1];
rz(0.18179639963766966) q[1];
rx(0.0766136793009708) q[2];
rz(0.7437835127687824) q[2];
rx(1.187585029884395) q[3];
rz(0.14371557831956658) q[3];
rx(1.1608650116861416) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIZIIIIZ",
"IIIZIIZIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"ZIIIIZIIII",
"IZIIIIZIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
1,
7,
21.5,
0.5,
12.5,
7.5,
6.5,
-4.5,
5,
16
] | 0.973762 | [
-0.09374320228646413,
0.3062122271482102,
0.9571186981788526,
0.18179639963766966,
0.0766136793009708,
0.7437835127687824,
1.187585029884395,
0.14371557831956658,
1.1608650116861416,
0.00906075293887525,
0.8994923809899632,
0.023875129559576186,
0.2070696051982188,
0.3206731303187209,
0.... | {
"n_parameters": 85,
"n_qubits": 10,
"optimal_eigenvalue": -104,
"target_ratio": 0.97,
"target_value": -100.88
} | 13 |
d7a525ce4c2e3aa682dbfbc5ee640032 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [373, 369], "expectation_value": -2.6245862194037706, "params": [2.3052, 0.006, 0.8772000000000001, 0.0056, 1.7223000000000002, 0.004, 2.3089, 0.0009000000000000001, 2.299, 0.0085, -0.002, 0.0028, 1.4744000000000002, 0.009300000000000001, -0.002, 0.0061, 2.3000000000000003, 0.0004, 0.0043, 0.0067, 0.0083, 0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(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(... | 18 | 9 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.75, "smallest_bitstrings": ["010001011", "100001110", "011001010", "010011010", "001001110", "010001110", "001101010"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027051847789835787) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027051847789835787) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027051847789835787) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.027051847789835787) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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",
"IIIIIZIZI",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIIZIZI",
"IIIIZIZII",
"IIZIIIZII",
"... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0,
0.125,
0.125,
0.25,... | 0.976706 | [
0.027051847789835787,
-0.03206344691167204,
1.6851099918626093,
1.7238436867176876,
-1.4190839315479138,
-1.6226342532152522,
1.4767707881526164
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 75 |
12625ff7963f220cedd44f15c6035b49 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 4, "so... | {"states": [1010, 2042], "expectation_value": -18.95865574482283, "params": null, "bitstrings": ["1110000001101", "1100000000101"], "total_optimization_steps": 100, "probabilities": [0.09426666769276475, 0.553797053621311], "optimization_time": 414.7996127605438} | -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 *... | 1 | 13 | 4 | {"smallest_eigenvalues": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -18.75, "smallest_bitstrings": ["1101000011010", "1100000000101", "1110000010010", "1101000011101", "1110000010101", "1110000001101", "1100000000010", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(0.0337115844172802) q[5];
cx q[6], q[5];
h q[7];
cx q[6], q[7];
rz(0.018414539975709646) q[7];
cx q[6], q[7];
cx q[5], q[7];
rz(-2.0778790141223) q[6];
rx(1.332290205529361) q[6];
rz(0.0337115844... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(0.4397) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = meas... | [
"IIIIZIIIIIZII",
"IIIIIIIIIZZII",
"IIIIZIIIIZIII",
"IIIIIIIIZIZII",
"IIIIZIIIZIIII",
"IIIIIIIIZZIII",
"IIIZIIIIIIZII",
"IIIZZIIIIIIII",
"IIIZIIIIIZIII",
"IIIZIIIIZIIII",
"IIIIIIZZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIZIIIII",
"IIIIIIIIIIZIZ",
"IIIIZIIIIIIIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZII... | [
-1,
2,
-2,
2,
-2,
4,
-1,
1,
-2,
-2,
1,
2,
1,
0.5,
-0.5,
1,
1,
-0.5,
0.5,
-0.5,
1,
1,
-0.5,
0.25,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
-1,
1,
-2,
-2,
1,
-1,
-1,
1,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
0.5,
1,
2,
-2,
4,
... | 0.934646 | [
-0.017945495095570838,
0.018414539975709646,
-0.01256029963426791,
-0.822997322774261,
0.0337115844172802,
0.09403212308213957,
-0.049568322743649015,
-0.09733760106877386,
-2.0778790141223,
-0.6586234365540318,
1.117303174346778,
1.332290205529361,
0.16829227678709818,
-0.1470933503730152... | {
"n_parameters": 34,
"n_qubits": 13,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 500 |
9313084cc492e2aab2fbf1a94b6f25bf | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [9, 73], "expectation_value": -4.042482062474461, "params": [0.0019, 0.7381000000000001, -0.4869, 0.4559, 0.0026000000000000003, 0.6575000000000001, -0.0037, 1.0112, 0.6823, 0.0095, 0.0033, 1.1166, 0.0011, 0.5113, 0.4753, 0.0164, 0.0045000000000000005, 0.7543000000000001, -0.48710000000000003, 1.2682, -0.002... | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(1) @ Z(6)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3)... | 3 | 8 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10110110", "10100110", "10100010", "10100000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5044872271921961) q[0];
h q[1];
ry(0.7817244421400541) q[1];
h q[2];
ry(-0.6384678543212984) q[2];
h q[3];
ry(0.38704973127573605) q[3];
h q[4];
ry(1.56196623503395) q[4];
cx q[4], q[1];
ry(-0.7817244421400541) q[1];
cx q[4], q[1];
cx q[1], q[2];
ry(0.6384... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IZIIIZII",
"IZIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIIZI",
"IIZIZIII",
"IZZIIIII",
"IIIZIZII",
"IZIZIIII",
"IIIZIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIZIIIII",
"IIIZIIII"
] | [
-0.25,
-0.5,
-0.25,
-0.5,
1,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-1,
-0.25,
0.25,
-0.75,
0.5,
0,
0,
1.25
] | 0.974103 | [
1.56196623503395,
1.5634488842801082,
-1.0089744543843921,
1.3527550025587325,
-1.2769357086425968,
-0.7483517277935016,
0.40733913296322016,
0.7740994625514721,
-1.14380225088928,
0.24805613609596966,
-0.04051523267791764,
-0.7821264110959021,
0.5107849771464563,
-0.2823156684433042,
-0... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 18 |
eea2f112f1aa4a00d6fffd09725db36f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": ... | {"states": [0, 256], "expectation_value": -21.835529205367205, "params": [-0.017, 0.0045000000000000005, -0.0059, 0.0021000000000000003, -0.0035, -0.0038, 0.30310000000000004, 0.3032, 0.00030000000000000003, -0.00030000000000000003, -0.0005, -0.0017000000000000001, -0.0055000000000000005, -0.0037, -0.000900000000000000... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(11) @ Z(1)) + -0.5 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(5)) + -0.5 * (Z(11) @ Z(8)) + -0.25 * (Z(3) @ Z(1)) + 2.5 * (Z(3) @ Z(0)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(5)) + -0.5 * (Z(9... | 14 | 12 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.1815183541720135) q[0];
rz(pi/2) q[0];
ry(0.13218923357339152) q[1];
ry(-0.11285741050803264) q[2];
ry(0.4284454858585605) q[3];
ry(0.12473299656095543) q[4];
ry(-0.09993261834973267) q[5];
ry(-0.060165824802304875) q[6];
ry(-0.0061531443156147905) q[7];
ry(0.0276... | 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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIZIIIIIIIZ",
"IIIZIIZIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIIIZIIIII",
"ZIIZIIIIIIII",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIZIIIIIIIZI",
"IIZIIIZIIIII",
"IIZZIIIIIIII",
"IZIIIIIIIIZI",
"IZIZIIIIIIII",
"IIIIIIIIIZZI",
"IIIIIIZII... | [
-0.75,
-0.25,
-0.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
2.5,
-0.5,
-0.5,
-0.5,
-1,
-0.25,
-0.75,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.5,
-0.25,
-0.75,
-1.25,
-0.25,
-1.25,
-1,
-0.5,
-0.5,
-0.75,
-1.25,
-0.... | 0.971588 | [
0.1815183541720135,
0.13218923357339152,
-0.11285741050803264,
0.4284454858585605,
0.12473299656095543,
-0.09993261834973267,
-0.060165824802304875,
-0.0061531443156147905,
0.027601480655278593,
0.02314199262161692,
-0.2739839645646365,
0.16451799905134096,
-0.015325525597376571,
-0.123949... | {
"n_parameters": 122,
"n_qubits": 12,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 7 |
a9409fcc1c37f00d69e6ff7314eee747 | 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": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 6}, {"sour... | {"states": [0, 127], "expectation_value": -6.155298176571191, "params": [-0.15430000000000002, 1.3779000000000001, -0.6936, 0.0079, 0.6239, 0.6712, -0.1506, 0.007, 0.9537, 0.8024, -0.8247, 0.0058000000000000005, 0.9605, 1.1092, -0.14800000000000002, 0.0054, 1.0035, 1.465, 0.2856, 0.004, 0.9860000000000001, 1.6878000000... | -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(0) | 6 | 8 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(0.021658842194341686) q[1];
h q[2];
ry(0.021658842194341686) q[2];
h q[3];
cx q[3], q[1];
ry(-0.021658842194341686) q[1];
cx q[3], q[1];
cx q[1], q[2];
ry(-0.021658842194341686) q[2];
cx q[1], q[2];
ry(1.2690698017352298) q[1];
cx q[2], q[1];
ry(0.049... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIIIIZ"
] | [
-2,
0.5,
-2.5,
0.5,
-2,
0.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.973459 | [
0.04331768438868337,
1.558813512534159,
1.3186258314082524,
-0.09911205934604497,
1.434796182147094,
2.1301521039389266,
0.6213646781763157,
0.4215903718537248,
0.8017809575126001,
-0.6401186696082121,
0.004205360869080306,
0.062201038654250924,
-2.1445552086865884,
0.511324330828279,
0.... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 123 |
a558ec37e22caf209c56cc4dddc2a5bf | 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": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"sour... | {"states": [48, 112], "expectation_value": -5.602787819227367, "params": [1.2138, 0.0027, -0.0024000000000000002, 0.0019, 1.6657000000000002, 0.005, 1.7096, 0.0066, 1.7137, 0.0064, -0.0022, 0.0031000000000000003, 0.3673, 0.0092, -0.0029000000000000002, 0.001, 0.2579, 0.0018000000000000002, 0.006200000000000001, 0.0015,... | 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(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -6.0, "smallest_bitstrings": ["110001111", "011101011", "111101010", "110101110", "011111001", "100101111", "101101011", "110110110", "011011101", "110010111", "0110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.5759468806945849) q[0];
rz(0.06431466414296949) q[0];
rx(-0.0434486800651921) q[1];
rz(-0.2257476660993163) q[1];
rx(2.601183247465643) q[2];
rz(-0.5034223159735856) q[2];
rx(2.835689172481436) q[3];
rz(0.2923249238273966) q[3];
rx(2.8329309846653414) q[4];
rz(-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] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"IIIIIZIZI",
"ZIIIIZIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"ZZIIIIIII",
"IIZIIIZII",
"IIZZIIIII",
"IIZIIZIII",
"IIIZZIIII",
"IZIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"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,
0.5,
0.5,
0.5,
-2,
-1.5,
-1,
-2,
-1.5,
-1,
-2,
-1,
-0.5
] | 0.970998 | [
0.575946880694585,
-0.01804213221266042,
-0.04344868006519209,
0.03774131249374264,
2.601183247465643,
-0.30758118094083214,
2.835689172481436,
0.2717663709589998,
2.8329309846653414,
-0.3509517832425759,
0.0456853441305126,
0.2070734218883358,
0.106552285925263,
-0.04922610431899055,
-0... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 12 |
9cd61de466d87c99ffcd4d9aaf27361b | 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": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"sour... | {"states": [255, 248], "expectation_value": -13.42386715279187, "params": [[[-0.0022, 3.1439000000000004], [-0.0027, -0.0026000000000000003], [-0.0032, -0.003], [-0.0028, -0.0031000000000000003], [0.0021000000000000003, -0.0031000000000000003], [1.3069000000000002, -1.5525], [1.5913000000000002, -1.532], [-0.0025, -1.2... | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(2)... | 15 | 8 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(0.19928659443148333) q[1];
h q[2];
ry(0.19928659443148333) q[2];
h q[3];
cx q[3], q[1];
ry(-0.19928659443148333) q[1];
cx q[3], q[1];
ry(1.4028376472425723) q[1];
cx q[1], q[2];
ry(-0.19928659443148333) q[2];
cx q[1], q[2];
ry(1.2198561080294412) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZZIII",
"IIIIZZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2.5,
1,
-2,
-2,
0.5,
-2.5,
1,
-2,
0.5,
-2,
-2,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
1.5,
-1.5,
-1.5
] | 0.970678 | [
0.39857318886296667,
1.0198734767620647,
0.9389887540017249,
1.4028376472425723,
1.3223095358875248,
0.3999652625347528,
0.4556819512819255,
-1.6200427369666102,
-0.9317278884620666,
-0.6458104238159206,
-0.3115638160764419,
-0.26729457089977376,
-0.4777943766016436,
-0.11570648136391645,
... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 41 |
9720f25e266b706fd55bd4bfdba0ffde | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [1, 3], "expectation_value": -0.1622861349440512, "params": [[-0.027600000000000003], [0.0397]], "bitstrings": ["1111111110", "1111111100"], "total_optimization_steps": 10, "probabilities": [0.001076970021251896, 0.0010913621211403736], "optimization_time": 2.9687952995300293} | -0.75 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + 2.25 * (Z(9)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["1111111100"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.0741408341554137) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0741408341554137) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.0741408341554137) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(0.0741408341554137... | OPENQASM 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[10] c;
qubit[10] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IIIIIIIZZI",
"IIZIIIZIII",
"IIIIIIZIZI",
"IIIZIIIZII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IIIIZIIIZI",
"IIIIZIZIII",
"IIIZZIIIII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"IZIIIZIIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ"... | [
-0.75,
-0.75,
-0.5,
-0.75,
-0.25,
-0.5,
-0.75,
-0.5,
-0.75,
-0.75,
-0.5,
-1.25,
-0.75,
2.25,
-0.5,
-0.25,
-0.5,
-0.75,
0.75,
-0.25,
-0.5,
-0.75,
-0.75,
0,
-2.25,
1.25,
1,
1.5
] | 0.564688 | [
0.0741408341554137,
0.06197621550383271,
0.8086916345890799,
0.010946235500505016,
-0.03592061105577804,
1.552574919162176,
-1.5523953814026779,
1.5503243587487994,
-1.5582433635244757,
-1.5678293876828788,
-1.5566907403451635,
1.5065492327598238
] | {
"n_parameters": 12,
"n_qubits": 10,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 327 |
5a8eac0760a558d4174437be478ec0aa | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [4, 8], "expectation_value": -2.383913087124995, "params": null, "bitstrings": ["1011", "0111"], "total_optimization_steps": 8, "probabilities": [0.12800218251741974, 0.7559118157937839], "optimization_time": 3.305668830871582} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["1011", "0111"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.82536574049687) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.24273634073259914) q[1];
h q[2];
h q[3];
ry(-0.24273634073259914) q[3];
cx q[2], q[3];
ry(0.24273634073259914) q[3];
cx q[2], q[3];
ry(1.300380278656536) q[2];
ry(-0.845563361950822) q[3];
h q[4];
cx q[4], q[1];
ry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"IZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-1
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
-0.5677464941140427,
-0.3011043768554298,
0.6740485844110712,
1.8584456786071313,
-0.3550392547384828,
-0.049666130392177224,
0.1283809090165161,
0.14940958954842865,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
0ae9b6f2b61290137ab22e2dafb0c164 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [86, 90], "expectation_value": -1.7078306821951004, "params": null, "bitstrings": ["0101001", "0100101"], "total_optimization_steps": 54, "probabilities": [0.1005365462435313, 0.7008987205575532], "optimization_time": 66.39305305480957} | 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 | 2 | {"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) ... | 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(-1.3016) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"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 |
0cd8bae9f3ba09d5e5d6ac36ba1aa2d4 | 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": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [1, 21], "expectation_value": -7.38249367585583, "params": null, "bitstrings": ["111111110", "111101010"], "total_optimization_steps": 49, "probabilities": [0.11884327468330771, 0.5379672204827636], "optimization_time": 62.05758261680603} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.0, "smallest_bitstrings": ["110101010", "110111110", "111111110", "111101010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.23733041828786886) q[0];
ry(-0.6689264302586558) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.6689264302586558) q[3];
rz(-pi) q[3];
h q[4];
ry(-0.20884722359973915) q[5];
rz(-pi) q[5];
h q[6];
ry(0.6665505976609354) q[6];
ry(-0.17228866328763726) q[7];
rz(-pi) q[7];
... | 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(-1.5706) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIIIIZZI",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZIIIIIZII",
"IIIZIZIII",
"IZIIIZIII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIZII",
"... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
1.75,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
0.25,
0.5,
0,
-1.25,
0.75,
0,
0.25
] | 0.971887 | [
-1.2073675314355201,
-0.4746608365757377,
1.7310739516609295,
-1.252421001575336,
-1.2953051354342926,
-0.005658193317766055,
1.3331011953218708,
1.4170028832734343,
-0.04560731809502762,
0.09290518136985806,
-0.19555665932058916,
-0.0960487809743433,
-1.7440528144016616,
-0.39572269317097... | {
"n_parameters": 29,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 29 |
43307769d8a05a2ca68cecbc0fed0778 | 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": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [25, 31], "expectation_value": -3.06970238287601, "params": null, "bitstrings": ["100110", "100000"], "total_optimization_steps": 40, "probabilities": [0.18712618216087368, 0.5299561105391241], "optimization_time": 28.83842658996582} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(4) + -0.25 * Z(5) + 1.0 * Z(2) + 0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100000", "100010", "100110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.00023124809840155782) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.00023124809840155782) q[4];
cx q[0], q[4];
h q[5];
cx q[1], q[5];
rz(0.00030875566784865986) q[5];
cx q[1], q[5];
cx q[0], q[5];
cx q[1], q[2];
r... | 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(1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"IIIZZI",
"IZIZII",
"ZIIZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
-0.25,
-0.25,
-0.5,
0.75,
-0.25,
-0.5,
-0.25,
-0.75,
-0.25,
0,
-0.25,
-1,
-0.25,
1,
0.5
] | 0.846154 | [
-0.00023124809840155782,
0.00030875566784865986,
2.3115568584055075,
-3.216564759806828,
0.829794500941834,
-0.06741882085370919,
0.8321285704967755,
-0.06948214412449785,
0.5773648280487796,
0.00021406035029157414,
-0.0003257371873867132,
1.986953820724666,
-1.4634239239165174,
-1.0938387... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 500 |
4b9ee9784583cbae9c3337872bb21234 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [585, 587], "expectation_value": -6.955210024884945, "params": [[[1.6083, 0.0015], [0.5104000000000001, 0.0004], [0.5079, 0.0043], [1.6099, 0.0039000000000000003], [-0.0031000000000000003, 0.001], [-0.003, 0.0022], [1.6055000000000001, 0.0002], [-0.0022, 0.006500000000000001], [1.6013000000000002, 0.0066], [... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["0110110100"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(3.3515192754941796) q[0];
rz(-0.553408004146974) q[0];
rx(0.00954518448205324) q[1];
rz(0.26513140293590376) q[1];
rx(-0.10635477726055091) q[2];
rz(-0.24961068891689253) q[2];
rx(3.2191282469748206) q[3];
rz(-0.8347149410317546) q[3];
rx(-0.032766367096245946) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIZIIIIZ",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZIZIIIII",
"IIZIIIIIZI",
"IIIIZIZIII",
"IIZIIIZIII",
"IIIIIIZIZI",
"ZIIIZIIIII",
"ZIIIIIIIZI",
"IIIIIZIZII",
"IIZIIZIIII",
"IIIIIZZIII",
"ZIIIIZIIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IZIIZIIIII",
"IZIIIZIIII",
"IIIIIIIZII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2,
-2.5,
-1,
-1.5,
-1,
-2.5,
-0.5,
-0.5
] | 0.982148 | [
3.3515192754941796,
-0.553408004146974,
0.00954518448205324,
0.26513140293590376,
-0.10635477726055091,
-0.24961068891689253,
3.2191282469748206,
-0.8347149410317546,
-0.032766367096245946,
0.4696522159044254,
-0.193459860928289,
0.08851686827051583,
3.471514410281482,
-0.29718711065586245... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 18 |
a0d9e7890df5adf810df05a9e670aeef | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 3}, {... | {"states": [174, 122], "expectation_value": -11.834041593997103, "params": [[-0.0044, 0.049100000000000005, -0.0126], [-0.003, -0.0548, -0.0264]], "bitstrings": ["01010001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.00749107095974596, 0.00884828982134308], "optimization_time": 6.646502733230591} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 149.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.017090889001018697) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.017090889001018697) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.017090889001018697) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.017090889001018697) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10,
10.5,
14.5,
17.5,
18,
6,
9.5,
7.5
] | 0.977203 | [
0.017090889001018697,
-1.31275271389348,
-0.6179899020836164,
-0.9473448524233365,
-0.9718566134495752,
-1.9534931139208975,
0.11091533144665736,
-1.5054838273398576,
-0.45438682617188736,
-0.36004776093718105,
0.005611387507162821,
-0.3059111558774116,
1.007799926815668,
-0.77241128938593... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 90 |
732c260e1c0902cbe3cb22d766daa7cc | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [60, 44], "expectation_value": -9.479705290920762, "params": [-0.0027, 0.9708, -0.0027, 1.0948, -0.0027, 1.0828, -0.0022, 1.0962, 1.0669, 0.5167, 0.7701, 0.5073, 1.4937, 0.1227, 1.4886000000000001, 0.0019, -0.0009000000000000001, 0.2901, -0.006200000000000001, 0.9006000000000001, -0.0027, 0.0074, -0.0027, 0.... | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(2)) + 0.6666666666666667 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-10.333333333333332, -10.333333333333332, -10.333333333333332, -10.333333333333332], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.666666666666668, "smallest_bitstrings": ["1111001001", "1111001010", "1111010011", "1111100011"], "largest_eigenvalue": 26.666666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.008562219394374999) q[0];
rz(-0.18065508670005936) q[0];
rx(-0.0028228946995007883) q[1];
rz(-0.28081080015860127) q[1];
rx(0.008562219394374997) q[2];
rz(0.009275911461020393) q[2];
rx(0.008562219394374997) q[3];
rz(0.16646644706220792) q[3];
rx(0.440647895616474... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII"... | [
-0.5,
-1,
0.6666666666666667,
0.5,
-0.5,
-1,
-0.5,
0.5,
-0.5,
0.5,
1,
-0.5,
0.5,
0.5,
-1,
1,
1,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
-2.5,
1.1102230246251565e-16,
2.220446049250313e-16,
0,
2.5,
2.5,
2,
4,
-0.5,
-0.5
] | 0.979582 | [
0.008562219394374997,
-0.15097596248673917,
-0.0028228946995007883,
-0.28081080015860127,
0.009275911461020393,
0.16646644706220792,
0.4406478956164749,
-0.09140447979676149,
2.665613078940768,
-0.11848032829119896,
3.109469190815953,
0.2534456444784792,
3.2595205084667747,
-0.077611468584... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -10.333333333333332,
"target_ratio": 0.97,
"target_value": -10.023333333333332
} | 11 |
-746077927858631906 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 5], [1, 4, 6], [0, 1, 4], [0, 3, 4], [2, 3], [2, 6], [4, 5], [1, 3, 6]]} | {"states": [122, 107], "expectation_value": -2.747801848613398, "params": null, "bitstrings": ["0000101", "0010100"], "total_optimization_steps": 45, "probabilities": [0.06595344593519846, 0.8792238522546137], "optimization_time": 56.19011163711548} | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.666666666666667, "smallest_bitstrings": ["0010100"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(0.702603335851504) q[2];
cx q[5], q[2];
cx q[5], q[4];
rz(0.702603335851504) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(0.48788974004984215) q[1];
cx q[4], q[1];
rz(-0.31221247983864675) q[5];
rx(-0.821103359... | 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(1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IZIIZII",
"IZZIIII",
"IIZIIZI",
"ZIIIZII",
"ZIZIIII",
"ZIIIIZI",
"IIZIIIZ",
"IIIIIZZ",
"IIIZZII",
"IIZZIII",
"IIIZIZI",
"ZIIZIII",
"IIIZIIZ",
"IZIIIII",
"IIIIZII",
"IIZIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ",
"IIIZIII"
] | [
0.5,
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0,
0.5,
0.4999999999999999,
0.33333333333333326,
0.3333333333333333,
... | 0.528971 | [
0.702603335851504,
0.48788974004984215,
0.04666732429711114,
-0.3122124798386466,
-0.8211033590395597
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 134 |
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [4, 0], "expectation_value": -3.2999744317987227, "params": null, "bitstrings": ["011", "111"], "total_optimization_steps": 4, "probabilities": [1.0971972809140004e-05, 0.9999872097052316], "optimization_time": 1.0600266456604004} | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"], "largest_eigenvalue": 1.7000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06424924399158577) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.04813350541764115) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(1.5498376269972) q[1];
rx(1.7036418680237873) q[1];
rz(-0.06424924399158577) q[2];
cx q[0], q[2];
rz(1.2431... | null | {"source": 0, "sink": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[1];\nry(-1.5708)... | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-0.2,
-0.4,
-0.2,
-1,
-0.5,
-1
] | 0.971481 | [
-0.06424924399158577,
0.04813350541764115,
1.5498376269971996,
1.2431540253041897,
1.7036418680237873
] | {
"n_parameters": 5,
"n_qubits": 3,
"optimal_eigenvalue": -3.3,
"target_ratio": 0.97,
"target_value": -3.2009999999999996
} | 20 |
b99f0e315d6c4ec38babd2628ecf87b6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [67, 3], "expectation_value": -4.351515097173425, "params": [0.00030000000000000003, 0.2585, 0.001, 0.4637, 0.45020000000000004, 0.1221, 0.0021000000000000003, 0.43370000000000003, 0.0025, 0.4596, 0.0031000000000000003, -0.43170000000000003, 0.0027, 0.4581, 0.5957, 0.0043, 0.6023000000000001, 0.0035, 0.007, ... | -0.5 * (Z(0) @ Z(6)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * Z(6) + -0.25 * Z(0) + 0.5 * ... | 3 | 9 | 3 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["110111100", "111111100"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-0.6251339180222817) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(-0.3154365803553768) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(-0.3154365803553768) q[3];
cx q[6], q[3];
cx q[1], q[3];
rz(-0.6251339180222... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IIZIIZIII",
"IIIIIZIZI",
"IIZIZIIII",
"IIIIZIIZI",
"IIIZZIIII",
"IIIZIIZII",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIIZII",
"IZIIIIIII"
] | [
-0.5,
0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
0.5,
0.5,
-0.25,
-0.75,
-0.5,
0.25,
0.75
] | 0.522241 | [
-0.6251339180222817,
0.9163473416171956,
-0.3154365803553768,
0.8098800397262919,
-1.0007381683901269,
1.2402565320189738,
-1.0128218293180618
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 196 |
e0ade851c431314b420faf30ab55361c | 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": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [95, 127], "expectation_value": -0.5039679850144125, "params": [[-0.0487, -0.0431, 0.0001], [0.0631, 0.0623, 0.0317]], "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005768592951770485, 0.005926050525966261], "optimization_time": 3.9990170001983643} | -0.25 * (Z(0) @ Z(3)) + -1.0 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + -1.0 * Z(7) + 1.0 * Z(4) + -0.5 * Z(2) + 0.25... | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000000", "10100000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.19637994446285023) q[0];
ry(0.004434294848134298) q[1];
ry(-0.1529448115883161) q[2];
ry(0.301627268796102) q[3];
ry(0.10999680651813609) q[4];
ry(-0.26260379773277104) q[5];
ry(1.1283519390608232) q[6];
ry(-0.21232730790856036) q[7];
cx q[7], q[0];
cx q[6], q[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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIIZIIII",
"IIIZIZII",
"IZIIZIII",
"IZIZIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII"
] | [
-0.25,
-1,
-0.5,
0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-1.5,
-0.25,
0,
-0.25,
0.25,
-1,
1,
-0.5,
0.25,
0.25
] | 0.97048 | [
0.19637994446285023,
0.004434294848134298,
-0.1529448115883161,
0.301627268796102,
0.10999680651813609,
-0.26260379773277104,
1.1283519390608232,
-0.21232730790856036,
0.03586905306606689,
0.052918349226921346,
0.06425495830263805,
-0.0252208040845944,
-0.06921812913884703,
0.0616679116071... | {
"n_parameters": 42,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 62 |
0f1d9308b8b1d06d30bfa4de6cbc9040 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [17, 56], "expectation_value": -1.1289106927645904, "params": [[0.0635, 0.0761, 0.0488], [-0.0495, -0.07690000000000001, -0.0495]], "bitstrings": ["101110", "000111"], "total_optimization_steps": 10, "probabilities": [0.023880609727479987, 0.026841664298333318], "optimization_time": 5.215941667556763} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6230010565610689) q[0];
rz(0.06856754591903558) q[0];
rx(0.05228651755820995) q[1];
rz(0.2247192988641979) q[1];
rx(0.623001056561069) q[2];
rz(0.422733719531101) q[2];
rx(-0.04142085028007082) q[3];
rz(0.5561544826034971) q[3];
rx(0.03278011693440643) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"ZIZIII",
"ZIIIIZ",
"IIZIZI",
"IZZIII",
"ZZIIII",
"IZIIZI",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-0.5,
-1.5,
-1
] | 0.972312 | [
0.623001056561069,
0.312284130557242,
0.05228651755820995,
0.2247192988641979,
0.422733719531101,
-0.04142085028007082,
0.5561544826034971,
0.03278011693440643,
0.14994131830223134,
0.8695450938462626,
1.3203077449435106,
-0.04661008090570343,
0.2783265346359588,
0.09648654899272954,
1.0... | {
"n_parameters": 113,
"n_qubits": 10,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 27 |
aaa0b19e64bf3c35281517d1fd2e9593 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [39, 23], "expectation_value": -3.499144858283829, "params": null, "bitstrings": ["011000", "101000"], "total_optimization_steps": 28, "probabilities": [0.06552908063150316, 0.9338662614330172], "optimization_time": 21.32979416847229} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011000", "101000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3082490255491387) q[0];
cx q[1], q[0];
rz(-0.4813792428916286) q[0];
rx(-0.0708269652138156) q[0];
h q[2];
cx q[1], q[2];
rz(0.3082490255491387) q[2];
cx q[1], q[2];
rz(0.38370389231516544) q[1];
rx(-0.07082696521381568) q[1];
cx q[1]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
0,
0,
0
] | 0.977854 | [
0.3082490255491387,
0.3837038923151648,
-0.48137924289163025,
0.26332802912302594,
-0.07082696521381564,
-0.3050505286502088,
0.5806483285648956,
0.6562418208675107,
0.7543675324261974,
-0.03625229813212085,
0.44867521434950836,
0.9051415988683418,
0.9758359490263386
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 18 |
-6632939688479136457 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [1, 2], [0, 4], [2, 4], [2, 5], [1, 3]]} | {"states": [7, 56], "expectation_value": -0.044116107535048174, "params": [[0.060500000000000005], [-0.061700000000000005]], "bitstrings": ["111000", "000111"], "total_optimization_steps": 10, "probabilities": [0.016561186318140114, 0.016561186318140114], "optimization_time": 1.2248198986053467} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["111000", "110001", "101100", "010011", "001110", "000111"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(0.7107702699467464) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(0.7107702699467464) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(0.7107702699467464) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.7107702699467464) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[4], q[0];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IZIIZI",
"IZIZII",
"IIIZZI",
"IZIIIZ",
"ZIIZII",
"IIZIZI",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.580814 | [
0.7107702699467464,
4.626112587030544e-8,
-0.7170230746314248
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 98 |
-291717430022571769 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 6], [10, 4], [2, 4, 5], [4, 6], [4, 7], [0, 3, 5], [10, 2, 6], [0, 7], [1, 5], [8, 9], [9, 2, 1], [0, 9, 4], [0, 8], [8, 3], [1, 6], [9, 5, 7], [2, 3]]} | {"states": [1497, 1369], "expectation_value": -4.312340155712932, "params": [1.3949, 1.4026, 0.3594, 0.3521, 1.3942, 1.3958000000000002, 0.7359, 0.733, 1.3667, 1.3591, 0.373, 0.3759, 1.4013, 1.3939000000000001, 1.3916000000000002, 1.3833, 0.3652, 0.366, 0.1854, 0.1855, 1.3974, 1.4031, -0.0041, 0.0011, -0.01560000000000... | 0.5 * (Z(9) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.16... | 13 | 11 | 1 | {"smallest_eigenvalues": [-5.5000000000000036], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.166666666666668, "smallest_bitstrings": ["01010100110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.3946598647860011) q[0];
rz(0.0092918986985627) q[0];
ry(-0.07823063668016426) q[1];
ry(1.6741754265685187) q[2];
ry(0.12991492614631617) q[3];
ry(1.3681149999124074) q[4];
ry(0.27037718414593503) q[5];
ry(1.5524391826640118) q[6];
ry(1.5771859405782083) 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": []} | [
"IZIZIIIIIII",
"IIIZIIIIZII",
"IIIZIZIIIII",
"IIIIIZIIZII",
"IIIZIIIZIII",
"IIIIIIIZZII",
"IIIIIZIZIII",
"IIIIZZIIIII",
"IIIIZIIZIII",
"IIZIIZIIIII",
"IIZIZIIIIII",
"IZIIIIIIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIZIIIIIIIZ",
"IZIIIIZIIII",
"IIIIIIZZIII",
"IIIIZIZIIII",
"IIIIIIZII... | [
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
... | 0.982337 | [
1.3946598647860011,
-0.07823063668016426,
1.6741754265685187,
0.12991492614631617,
1.3681149999124074,
0.27037718414593503,
1.5524391826640118,
1.5771859405782083,
-0.033257417182775584,
0.2558914585305397,
1.5528101284063738,
0.0185837973971254,
0.24604057948824845,
0.727261871464146,
-... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -5.5000000000000036,
"target_ratio": 0.97,
"target_value": -5.3350000000000035
} | 12 |
333254782283247234 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 10, 4, 7], [9, 10, 11, 6], [1, 2, 10, 6], [0, 1, 4, 5, 8], [1, 10, 3, 4], [1, 5, 7, 9, 10], [0, 9, 2], [0, 1, 4, 9, 11], [8, 9, 11], [10, 2, 5], [9, 4, 5, 6], [2, 4, 7, 9, 11], [1, 2, 5, 6, 7], [1, 2, 9]]} | {"states": [2735, 2799], "expectation_value": -2.980339000572928, "params": [1.5649000000000002, 1.5716, 0.10300000000000001, 0.0983, 1.5837, 1.5525, 0.0415, 0.039400000000000004, 0.9238000000000001, 0.9282, 0.861, 0.8734000000000001, 1.5635000000000001, 1.5714000000000001, 0.11660000000000001, 0.1187, 1.5859, 1.5617, ... | 0.3 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.26666666666666666 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(9) @ Z(2)) + 0.18333333333333335 * (Z(9) @ Z(1)) + 0.13333333333333333 * (Z(9) @ Z(6)) + 0.13333333333333333 * (Z(11) @ Z(2)) + 0.26666666666666666 * (Z(11) @ Z(1)) + 0.18333333333333335 * (Z(11) @... | 13 | 12 | 1 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.216666666666666, "smallest_bitstrings": ["010100010000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.4810198455275252) q[0];
rz(-0.01674215622094733) q[0];
ry(0.049965281926956415) q[1];
ry(1.458882232264923) q[2];
ry(-0.09112166190752381) q[3];
ry(1.3354013200607782) q[4];
ry(0.7209773744251379) q[5];
ry(1.566275608666112) q[6];
ry(-0.09599564839493675) 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": []} | [
"IIIIIIIIIZZI",
"IIIIIZIIIZII",
"IIIIIZIIIIZI",
"IIZIIIIIIZII",
"IIZIIIIIIIZI",
"IIZIIZIIIIII",
"ZIIIIIIIIZII",
"ZIIIIIIIIIZI",
"ZIIIIZIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIZZII",
"IIIIIIIIZIZI",
"IIIIIZIIZIII",
"IIZIIIIIZIII",
"ZIIIIIIIZIII",
"IIIZIIIIIZII",
"IIIZIIIIIIZI",
"IIIZIZIII... | [
0.3,
0.16666666666666666,
0.26666666666666666,
0.13333333333333333,
0.18333333333333335,
0.13333333333333333,
0.13333333333333333,
0.26666666666666666,
0.18333333333333335,
0.1,
0.08333333333333333,
0.05,
0.1,
0.05,
0.35,
0.16666666666666666,
0.13333333333333333,
0.0833333333333333... | 0.971213 | [
1.4810198455275252,
0.049965281926956415,
1.458882232264923,
-0.09112166190752381,
1.3354013200607782,
0.7209773744251379,
1.566275608666112,
-0.09599564839493675,
1.5281252716979974,
1.550030069234186,
1.5311382980816408,
1.4338963781948806,
-0.03348431244189466,
0.0422121598175574,
-0.... | {
"n_parameters": 47,
"n_qubits": 12,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 6 |
60093ea65732b343d8ac63be7dcb7e35 | 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": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2... | {"states": [64, 63], "expectation_value": -0.311607982214429, "params": [[0.041], [-0.038900000000000004]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008996799308285699, 0.00904172936796062], "optimization_time": 2.119847059249878} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.25 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + 0.75 * Z(3) + -0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.12178335334348857) q[0];
ry(-0.007869263321115441) q[1];
ry(0.20801576466635258) q[2];
ry(0.008570263910213836) q[3];
ry(0.34213852368782627) q[4];
ry(0.15534073098527798) q[5];
ry(2.3070424566561436) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], 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[7] c;
qubit[7] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIZIII",
"ZIIIIIZ",
"ZZIIIII",
"IZIIIZI",
"IIIZZII",
"IZIIZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"IIZIIZI",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-0.5,
-0.25,
-1.25,
1,
-0.75,
-2,
-1,
-0.5,
-2.25,
-1,
-2,
-0.75,
-0.25,
0.75,
-0.25,
1,
-1,
1.5,
0.5,
-2.5
] | 0.973536 | [
-0.12178335334348857,
-0.007869263321115441,
0.20801576466635258,
0.008570263910213836,
0.34213852368782627,
0.15534073098527798,
2.3070424566561436,
0.13094827649235985,
-0.012413090717661241,
-0.022855341959053286,
0.0405743205535201,
-0.14347087381773754,
-0.03993434266620357,
0.0933760... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 29 |
c12dc8bfc0d8e8bc2e65cda825a741ab | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [0, 1], "expectation_value": -1.0399629748986985, "params": [[[0.0024000000000000002, 0.1971], [0.002, 0.3125], [0.39930000000000004, -0.0027]], [[-0.0051, 0.2326], [0.0058000000000000005, 0.2869], [0.40840000000000004, -0.0015]], [[-0.0005, 0.2291], [0.0007, 0.30310000000000004], [0.4, -0.0023]], [[0.000300... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.98693634562561) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.5702754027205156) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.5702754027205152) q[1];
rx(0.1809670407241956) q[1];
rz(-0.0605909341297176) q[2];
cx q[0], q[2];
rz(0.5702754... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-0.5,
-0.25,
0.75,
-0.25,
-0.25,
0.5
] | 0.970753 | [
0.98693634562561,
0.5702754027205156,
-0.0605909341297176,
0.01052034470793032,
0.1809670407241956,
-0.4210489548362983,
0.17941461010927579,
-0.5310091518833534,
-0.24571524346239182,
1.169259756964969,
0.8653272313101511,
0.8751350731179494,
-0.4970495411829845,
-1.6475907910109493,
1.... | {
"n_parameters": 15,
"n_qubits": 3,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 68 |
6206337d7d1967e1d98c4b708b2f9aeb | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [1719, 1659], "expectation_value": -0.036696891112715964, "params": [[0.060200000000000004], [-0.0487]], "bitstrings": ["00101001000", "00110000100"], "total_optimization_steps": 10, "probabilities": [0.0005373593626201901, 0.0005373593626201907], "optimization_time": 17.90691566467285} | 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)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6... | 1 | 11 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.75, "smallest_bitstrings": ["10000001010", "00110000100", "00101001000", "01010000010"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-3.104597454054124) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.53500557433382) q[1];
h q[2];
ry(1.4439796999895051) q[2];
cx q[2], q[0];
ry(-0.09228340053169692) q[0];
cx q[2], q[0];
ry(0.12874566237956261) q[2];
h q[3];
ry(1.4415177267275305) q[3];
h q[4];
ry(-1.535005574333... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIIZZIIZ",
"IIIIIZIZIIZ",
"IIIIZIIZIIZ",
"IIIIIZZIIIZ",
"IIIIZIZII... | [
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,
0.25,... | 0.993942 | [
-1.53500557433382,
-1.4376074027751256,
1.4439796999895051,
1.4415177267275305,
0.0014514087102965867,
0.18456680106339385,
0.15085650241299106,
0.25749132475912523,
-0.0014710015415432699,
-0.07056259980137612,
0.21107059744399434,
-0.014355156257897916
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
34405b8ce51c8b9444235dd8f8241107 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [366, 358], "expectation_value": -0.7173085378596555, "params": [1.7045000000000001, 0.0027, 1.4758, 0.0015, 1.7004000000000001, 0.0079, 1.7049, 0.0053, 0.8937, 0.0008, 1.4889000000000001, 0.008700000000000001, 1.6996, 0.004200000000000001, 1.7069, 0.0055000000000000005, 0.4435, 0.0032, 0.0079, 0.0016, 0.000... | 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(1) @ Z(3)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(1) @ Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) ... | 16 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.0, "smallest_bitstrings": ["001100101", "001100011", "001101001", "001100110", "001011001", "101001001", "010010011", "100011001", "010011001", "010010110", "0100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(3.0695086039406596) q[0];
rz(-0.018199648818024272) q[0];
rx(0.3958442134597441) q[1];
rz(0.506600205343344) q[1];
cx q[1], q[0];
rz(0.2940444916191531) q[0];
cx q[1], q[0];
rz(0.011287733087488677) q[1];
rx(3.019570486218568) q[2];
rz(-0.9516065358697103) q[2];
rx(3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIZZIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZIZIZI",
"IIIIZIZII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IZZZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
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,
0.5,
0.5,
0,
0,
-0.25,
0,
-0.25,
0,
-0.25,
-0.25,
-0.5
] | 0.97687 | [
3.0695086039406596,
0.27584484280112875,
0.3958442134597441,
0.506600205343344,
3.019570486218568,
-0.5880889832383062,
3.2544027846897254,
-1.0220032180868497,
0.013414363381524082,
-0.49227359945072313,
0.09837198612235676,
-1.1973061488425971,
3.0926146910030994,
-0.8317765391071205,
... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 34 |
86f73578238baf3b633bd1fba1c953bb | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [0, 191], "expectation_value": -13.429628874640295, "params": [0.0046, 1.9021000000000001, -0.0025, 0.009000000000000001, 0.0018000000000000002, 1.9335, -0.0054, 0.0037, 0.4156, 0.1844, -0.7051000000000001, 0.0083, 0.0023, 1.2876, 0.001, 0.0014, -0.8138000000000001, 0.4137, 0.7536, 0.0036000000000000003, -0.... | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(4) @ Z(6)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + -1.0 * (Z(9) @ Z(2)) + -1.5 * Z(3) + -1.5 * Z(0) + -1.5 * Z(1) + 0.5 * Z... | 6 | 10 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["1101000000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.008840522430869661) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.008840522430869661) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.0009720178355127607) q[1];
cx q[0], q[1];
rz(1.5406073693635536) q[0];
rx(1.457808664636214) 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": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZIIIZIIII",
"IZIIZIIIII",
"ZIIIIIIZII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IZIIIIIIII"... | [
-2,
-2,
1,
-2,
-2.5,
0.5,
0.5,
-1.5,
-2,
0.5,
0.5,
-1,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.565497 | [
0.008840522430869661,
-0.0009720178355127607,
-0.7596839680431738,
-0.7173445708688156,
1.5406073693635536,
0.25294596708038575,
1.457808664636214
] | {
"n_parameters": 7,
"n_qubits": 10,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 201 |
2a895515d0a8eaf1b57b7d486fef5b85 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [17, 3], "expectation_value": -13.203510565907113, "params": [[-0.039, -0.0296], [0.0683, 0.07780000000000001]], "bitstrings": ["1101110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.017433406300034895, 0.018244547363016075], "optimization_time": 4.9574384689331055} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 2... | 16 | 7 | 2 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-2.096327820170651) q[0];
ry(0.2537083493680447) q[0];
rz(1.570436671091425) q[0];
rz(1.191244473143085) q[1];
ry(0.2008107508654874) q[1];
rz(-1.6963430441543206) q[1];
rz(-1.9118469528459408) q[2];
ry(0.1477573005102168) q[2];
rz(1.5833415908168567) q[2];
rz(2.2786... | OPENQASM 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
2.75,
2.75,
3,
2.75,
2.75,
3,
3,
3,
-10,
-10.25,
-10.25,
-10.25,
-10.25,
-9.5,
-9.5
] | 0.972257 | [
-0.08028563510993815,
-0.21555986132396174,
0.078732077463361,
-0.21601939328285985,
-0.010214764130119527,
-0.03172665130023722,
0.30548255601708946,
0.07708210515096893,
0.3715827281252511,
0.6916802821102456,
0.19367370790422986,
0.9804975452195692,
-0.10497639850611308,
0.0456723136684... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 8 |
bf001351f2bf5e55c043b36bf1cfc0ff | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [61, 57], "expectation_value": -2.8950374595707666, "params": [0.0028, 0.0046, 0.0704, 0.0608, 0.6062000000000001, 0.607, 0.5946, 0.5941000000000001, 0.5915, 0.5930000000000001, 0.35800000000000004, 0.35500000000000004, -0.0006000000000000001, 0.0045000000000000005, 0.5917, 0.5984, 0.0019, 0.0039000000000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(7) @ Z(2)) + ... | 14 | 8 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.625, "smallest_bitstrings": ["10010110", "11000011", "11010010", "10100110", "11000110"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.014501327735563205) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.014501327735563205) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.014501327735563205) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.014501327735563205) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIZZZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIIZIZII",
"ZIIIIZII",
"IZIIIZII",
"ZIIZIIII",
"IZIZIIII",
"ZZIIIIII",
"ZIIZIZII",
"IZIZIZII",
"ZZIIIZII",
"ZZIZIIII",
"ZZIZIZII",
"IIZIZIII",
"ZIIIZIII",
"ZIZIIIII",
"ZIZIZIII",
"IIIIIIIZ",
"IIIIIIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-1,
-0.25,
0.125,
0,
-0.125,
-0.25,
0.125,
-0.625
] | 0.979318 | [
-0.014501327735563205,
1.0347150784178718,
-0.5692598202979595,
0.8538840510919471,
0.449639128842699,
-0.5166005433180799,
-0.5904170101921311,
0.7104836149796329,
1.0334025197694245,
-0.9166130684491123,
0.10267877018475241,
0.640899445953751,
-0.04544482157122929,
1.0068858003288548,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -64.5,
"target_ratio": 0.97,
"target_value": -62.565
} | 48 |
-7161579744638778172 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3, 4], [2, 5, 6, 7], [8, 2], [0, 3]]} | {"states": [476, 415], "expectation_value": -0.6384569330709895, "params": [[0.4752], [-0.4199]], "bitstrings": ["000100011", "001100000"], "total_optimization_steps": 50, "probabilities": [0.00624347071529085, 0.006377185881690597], "optimization_time": 1.662113904953003} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.5833333333333335, -1.5833333333333335, -1.5833333333333335, -1.5833333333333335, -1.5833333333333335, -1.5833333333333335, -1.5833333333333335, -1.5833333333333335, -1.5833333333333335], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.5833333333333333, "smallest_bitstrings":... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(0.4084955205502198) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(0.4084955205502198) q[4];
cx q[3], q[4];
cx q[1], q[4];
cx q[3], q[0];
rz(1.4941260192832433) q[0];
cx q[3], q[0];
rz(-0.4917783261178186) q[0];
rx(-0.85... | 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[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[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(x0) q[4... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"IIIZIIZII",
"IIZZIIIII",
"IIZIIIZII",
"IZIZIIIII",
"IZIIIIZII",
"IZZIIIIII",
"ZIIIIIZII",
"IIIIIZIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIIZII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.16666666666666663,
0.16666666666666666,
0.16666666666666666,
0.125,
0.125,
0.125,
... | 0.80196 | [
0.4084955205502198,
0.1824781191109189,
1.4941260192832433,
0.669104736409547,
-0.4917783261178185,
-0.8574152149302733
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -1.5833333333333335,
"target_ratio": 0.97,
"target_value": -1.5358333333333334
} | 147 |
ac8f6040a5bb03cdcb904dd06b95ed2a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 2, "source": 4, ... | {"states": [1, 9], "expectation_value": -8.113658151290323, "params": [0.0071, 0.28750000000000003, 0.0029000000000000002, 0.0765, 0.0022, 0.5697, 0.0028, 0.5417000000000001, 0.0029000000000000002, 0.6022000000000001, 0.0034000000000000002, 0.5984, 0.0021000000000000003, 0.4859, 0.0017000000000000001, 0.5884, -0.150800... | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7) + 3.5 * Z(4) + -1.2... | 6 | 8 | 2 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -7.5, "smallest_bitstrings": ["11110110", "11110100", "11110000", "10010000", "11100000", "11100100", "11100110", "10000000", "10100000", "11000100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7386445555225505) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.699357435260052) q[4];
h q[5];
ry(0.7857912315345207) q[5];
h q[6];
ry(0.7952068497622999) q[6];
cx q[4], q[6];
ry(-0.7952068497622999) q[6];
cx q[4], q[6];
cx q[6], q[5];
ry(-0.7857912315345207)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIZIZII",
"ZIIZIIII",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"IIZIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.75,
1,
-0.75,
-1,
-0.5,
-1.25,
-0.25,
-0.75,
-1.25,
-1.25,
-0.75,
-1.25,
-0.25,
0,
3.5,
-1.25,
-1.25,
-0.25,
0.75
] | 0.970151 | [
1.699357435260052,
1.5904136995245999,
1.6413495966824776,
-1.477289111045101,
1.5715824630690414,
-0.34092506407667983,
-1.075228145254072,
0.3564144742520738,
0.28922954353875785,
0.4885601712472523,
0.1255007105163221,
0.21953165800446972,
-0.743637569163143,
0.48812527030861697,
-1.0... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 15 |
61fc58e7ea5c0b858181cef6a00713e4 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": 13, "source": 2, "targ... | {"states": [249, 188], "expectation_value": -29.76401815418995, "params": null, "bitstrings": ["100000110", "101000011"], "total_optimization_steps": 100, "probabilities": [0.10854950291818022, 0.1832553262641075], "optimization_time": 158.68650579452515} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 9.0 * Z(1) +... | 1 | 9 | 2 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["101000011"], "largest_eigenvalue": 154.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.02185145395977517) q[0];
cx q[1], q[0];
rz(-0.5588018792017229) q[0];
rx(-0.27985469452490175) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.02185145395977517) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(0.02185145395977517) q[4];
cx q... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.1215) 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] = m... | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIZIIIZII",
"IIZIZIIII",
"IIIZIZIII",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIZIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"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,
9,
-2.5,
15.5,
12,
18.5,
15,
17,
0.5,
6
] | 0.975691 | [
0.02185145395977517,
1.4317424449049956,
-0.5588018792017233,
1.5603082420547552,
0.19242374383339958,
1.3485735240723389,
1.011065840572277,
1.498856394896067,
-1.3092618702660563,
-0.32745955943144156,
-0.2798546945249017,
0.11900811374185843,
0.3243858040133379,
-0.6130932728853596,
0... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 53 |
-4070750241734402423 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3, 4, 5, 8, 9], [1, 5], [0, 1], [0, 3, 4, 5, 7], [0, 3, 4, 5, 6], [8, 4, 6, 7], [8, 3, 6], [2, 3, 5, 7, 8, 9], [8, 1, 4, 6], [9, 3, 4, 6], [8, 5, 6, 7], [2, 3, 4, 7, 9]]} | {"states": [701, 699], "expectation_value": -2.622828412623138, "params": [1.4969000000000001, 1.4988000000000001, 0.1178, 0.0956, 0.8135, 0.9167000000000001, 0.6594, 0.6692, 1.4952, 1.489, 1.498, 1.4899, 1.3796000000000002, 1.4863000000000002, 0.6794, 0.6536000000000001, 1.4898, 1.4873, 1.0688, 1.4867000000000001, 0.9... | 0.13333333333333336 * (Z(0) @ Z(3)) + 0.26666666666666666 * (Z(4) @ Z(3)) + 0.13333333333333336 * (Z(4) @ Z(0)) + 0.16666666666666669 * (Z(5) @ Z(3)) + 0.13333333333333336 * (Z(5) @ Z(0)) + 0.13333333333333336 * (Z(5) @ Z(4)) + 0.2333333333333333 * (Z(8) @ Z(3)) + 0.03333333333333333 * (Z(8) @ Z(0)) + 0.2 * (Z(8) @ Z(4... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.3000000000000007], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.05, "smallest_bitstrings": ["0101000100"], "largest_eigenvalue": 11.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.4789045412867443) q[0];
rz(pi/2) q[0];
ry(0.09927213919245337) q[1];
ry(1.804215997435325) q[2];
ry(-0.0549490083656987) q[3];
ry(1.9904881455972463) q[4];
ry(1.4919566466722176) q[5];
ry(1.6419805961396687) q[6];
ry(0.002925355890630926) q[7];
ry(1.61089668589456... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IZIIIIZIII",
"IZIIIIIIIZ",
"IZIIIZIIII",
"IZIIZIIIII",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IZIIIIIIZI",
"IIZIIIZIII"... | [
0.13333333333333336,
0.26666666666666666,
0.13333333333333336,
0.16666666666666669,
0.13333333333333336,
0.13333333333333336,
0.2333333333333333,
0.03333333333333333,
0.2,
0.15,
0.2,
0.03333333333333333,
0.16666666666666669,
0.06666666666666667,
0.06666666666666667,
0.5,
0.0833333333... | 0.972309 | [
1.4789045412867443,
0.09927213919245337,
1.804215997435325,
-0.0549490083656987,
1.9904881455972463,
1.4919566466722176,
1.6419805961396687,
0.002925355890630926,
1.6108966858945655,
0.9877493405689837,
0.7920419372815599,
1.273712665158913,
0.29059658132341903,
-0.24369386865230153,
0.8... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -3.3000000000000007,
"target_ratio": 0.97,
"target_value": -3.2010000000000005
} | 28 |
6254141777385931262 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 4, 5, 7], [0, 1, 3, 4, 8], [0, 1, 7, 8, 9], [0, 2, 6], [3, 4, 5, 6, 8], [1, 2, 3], [2, 3, 6, 7, 9], [4, 5, 6, 7, 8]]} | {"states": [862, 860], "expectation_value": -1.766759438638235, "params": [1.7534, -0.0083, 0.4647, 0.0031000000000000003, 1.7622, -0.0025, 0.47750000000000004, 0.0079, 1.7871000000000001, 0.0108, 1.5891000000000002, 0.0078000000000000005, 1.7485000000000002, -0.0043, 1.1739000000000002, 0.0097, 1.7867000000000002, -0.... | 0.15000000000000002 * (Z(0) @ Z(1)) + 0.1 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(0)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(0)) + 0.15000000000000002 * (Z(5) @ Z(4)) + 0.1 * (Z(7) @ Z(1)) + 0.1 * (Z(7) @ Z(0)) + 0.1 * (Z(7) @ Z(4)) + 0.1 * (Z(7) @ Z(5)) + 0.21666666666666667 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(0)) + 0.1 *... | 6 | 10 | 1 | {"smallest_eigenvalues": [-1.8666666666666671, -1.8666666666666671, -1.8666666666666671, -1.8666666666666671], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.8666666666666667, "smallest_bitstrings": ["1001010001", "0010100001", "0010010011", "0010100011"], "largest_eigenvalue": 7.999999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.7731063842217747) q[0];
rz(1.487758273880253) q[0];
rx(1.9413053364432762) q[1];
rz(1.5200858050047081) q[1];
rx(2.570553149454871) q[2];
rz(1.6871406619996616) q[2];
rx(2.0079763889552873) q[3];
rz(1.5181398153165961) q[3];
rx(1.9313546912746542) q[4];
rz(1.53443... | OPENQASM 3.0;
include "stdgates.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",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIZIIII",
"IIZIZIIIII",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIZIIIZIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIZIIII",
"IZIIZIIIII",
"IZZIIIIIII"... | [
0.15000000000000002,
0.1,
0.1,
0.05,
0.05,
0.15000000000000002,
0.1,
0.1,
0.1,
0.1,
0.21666666666666667,
0.05,
0.1,
0.05,
0.05,
0.1,
0.1,
0.15000000000000002,
0.1,
0.1,
0.1,
0.05,
0.05,
0.1,
0.05,
0.05,
0.16666666666666666,
0.16666666666666666,
0.05,
0.21666... | 0.970182 | [
1.7731063842217747,
-0.08303805291464292,
1.9413053364432762,
-0.05071052179018891,
2.570553149454871,
0.11634433520476503,
2.0079763889552873,
-0.0526565114783001,
1.9313546912746542,
-0.03636026540384173,
2.071711398222733,
-0.050935124164433465,
2.1009717481309487,
-0.06891653258195246,... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -1.8666666666666671,
"target_ratio": 0.97,
"target_value": -1.810666666666667
} | 314 |
2ebc839a20c2d3cd0797b936657b1618 | 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": 4, "... | {"states": [0, 4095], "expectation_value": -21.15264989033266, "params": [[[0.0027, 1.6065], [0.0028, 0.0029000000000000002], [-0.002, 0.12660000000000002], [0.0023, 0.0017000000000000001], [0.0022, 0.0028], [0.0016, 0.0015], [-0.0026000000000000003, 0.002], [-0.0026000000000000003, 0.0017000000000000001], [0.0025, 0.0... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(4)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -2.5 * (Z(7) @ Z(8)) + -2.0 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(7)) + 1.0 * (Z(11) @ Z(8)) + -2.5 * (Z(11) @ Z(7)) +... | 15 | 12 | 1 | {"smallest_eigenvalues": [-26.0, -26.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -25.0, "smallest_bitstrings": ["000000000000", "110000000000"], "largest_eigenvalue": 31.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.15062065282998804) q[0];
ry(0.08000585414962517) q[1];
ry(0.19895293273642028) q[2];
ry(-0.05204947374115322) q[3];
ry(-0.00017315724766965232) q[4];
ry(0.26697563391723417) q[5];
ry(0.06409186288749169) q[6];
ry(0.06409186288749169) q[7];
ry(0.04997518063106422)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIZZII",
"IIIIIZIZIIII",
"IIIIIZIIIZII",
"IIIIIZIIZIII",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IZIZIIIIIIII",
"IZIIZIIIIIII",
"ZIIZIIIIIIII",
"ZIIIZIIIIIII",
"ZZIIIIIIIIII",
"IIZZIIIIIIII",
"IIZIZIIIIIII",
"IZZIIIIII... | [
-1.5,
-2,
-2,
0.5,
-2.5,
0.5,
0.5,
0.5,
-1.5,
-2.5,
-2,
-2.5,
1,
-2.5,
1,
-2.5,
1.5,
-2.5,
-2.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.974833 | [
-0.15062065282998804,
0.08000585414962517,
0.19895293273642028,
-0.05204947374115322,
-0.00017315724766965232,
0.26697563391723417,
0.06409186288749169,
0.04997518063106422,
0.00902684384997679,
0.046440561612187674,
0.1487060562798365,
2.863763109987125,
0.053533442720468206,
0.0814011856... | {
"n_parameters": 18,
"n_qubits": 12,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 24 |
d3a1bd476861992c14dd2d5f2f135799 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 4},... | {"states": [2040, 2043], "expectation_value": -2.18879721933118, "params": [[0.07350000000000001], [-0.0823]], "bitstrings": ["00000000111", "00000000100"], "total_optimization_steps": 10, "probabilities": [0.0009389676900400708, 0.0009592968345184542], "optimization_time": 0.8407552242279053} | -2.0 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + -3.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(5)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -1.0 ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-20.5, -20.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.5, "smallest_bitstrings": ["00000000100", "00000000111"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.061653998791970865) q[0];
ry(-0.04380083174058784) q[1];
ry(0.12966888366675272) q[2];
ry(0.07589315511862511) q[3];
ry(0.02392695689012511) q[4];
ry(0.007328513135225895) q[5];
ry(-0.18771133890736294) q[6];
ry(-0.02012338098625122) q[7];
ry(1.6149399796852715) ... | 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[3], ... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIIIIIIZIZI",
"IIIIIZIIIZI",
"IIIIIIZZIII",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIIIIIZZI",
"IIIIIIZIZII",
"IIIZZIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIII... | [
-2,
1,
-2.5,
0.5,
0.5,
-3,
1,
-3,
-2.5,
0.5,
0.5,
-2,
0.5,
-2.5,
-1,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1
] | 0.970283 | [
-0.061653998791970865,
-0.04380083174058784,
0.12966888366675272,
0.07589315511862511,
0.02392695689012511,
0.007328513135225895,
-0.18771133890736294,
-0.02012338098625122,
1.6149399796852715,
-0.04521286975655941,
3.2355913001368326,
-0.004986413971934795,
-0.013966818142928297,
0.035469... | {
"n_parameters": 18,
"n_qubits": 11,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 6 |
668f90355fba57bcb4fb60386433c90f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [110, 107], "expectation_value": -21.164615810678942, "params": [[0.0234, 0.008, 0.0028, -0.006900000000000001], [-0.0541, -0.052700000000000004, -0.0629, -0.046]], "bitstrings": ["10010001", "10010100"], "total_optimization_steps": 10, "probabilities": [0.013397515088288792, 0.014593921627501446], "optimiza... | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 5.0 * Z(0) + 7.5 * Z(1) + 14.0 * Z(2) + 13.0 * Z(4) + 2.0 * Z(3) + 13.5 * Z(6) + 4.5 * Z(5) + 13.0 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 117.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.03151214468051604) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(-0.03151214468051604) q[2];
cx q[0], q[2];
rz(-1.5704264103695476) q[0];
rx(-1.5760082004320597) q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.03151214468051604) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIZII",
"IIIIZZII",
"IIIZZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5,
7.5,
14,
13,
2,
13.5,
4.5,
13
] | 0.924291 | [
-0.03151214468051604,
-1.5704264103695473,
1.5705991780520145,
1.5706765641735296,
1.5707989169663568,
-1.57058498502492,
1.5712808281552364,
-1.5760082004320595
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 204 |
1186103e935f6770b36dcaf31ab8cdf7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [5630, 4606], "expectation_value": -3.0863744541858007, "params": [0.6844, 0.12430000000000001, 0.21100000000000002, 0.27740000000000004, 0.3473, 0.25830000000000003, 0.0945, 0.47100000000000003, 0.6954, 0.0119, 0.6933, -0.0078000000000000005, 0.6990000000000001, 0.0014, 0.6972, 0.031, 0.53, -0.1837, 0.6975,... | 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(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(3) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) ... | 18 | 13 | 4 | {"smallest_eigenvalues": [-3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875], "nu... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.0085803528727126) q[0];
rz(-0.24026560563952204) q[0];
rx(1.0374082032569305) q[1];
rz(-0.23035514857546602) q[1];
rx(-0.08570401922231015) q[2];
rz(0.296306019900598) q[2];
rx(0.06592108549781109) q[3];
rz(0.611842747993478) q[3];
rx(0.10561376669133431) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZZZ",
"IIIIIIIIZZIII",
"IIIIIIIIIZIIZ",
"IIIIIIIZIIIIZ",
"IIIIIIZIIIIIZ",
"IIIIIZIIIIIIZ",
"IIIIIIIZIZIII",
"IIIIIIZIIZIII",
"IIIIIZIIIZIII",
"IIIIIIZZIIIII",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIIIIIZIZIIZ",
"IIIIIIZIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.125... | 0.971519 | [
1.0085803528727126,
-0.15242536983545654,
1.0374082032569305,
-0.09769714554756243,
-0.08570401922231013,
0.2869825256750739,
0.06592108549781107,
0.7350957423627515,
0.10561376669133432,
0.2569124181689957,
1.0976565644493625,
0.27993659704287666,
0.4217338145392744,
0.7290723505448091,
... | {
"n_parameters": 57,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 18 |
6e17cd813f467101a46aa3d9c885760f | 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": [1105, 1137], "expectation_value": -109.70096640921116, "params": [[0.8011, -0.1063, 0.0051, 0.0236, 0.7864, 0.0916, 0.7957000000000001, 0.112, -0.0023, -0.36210000000000003, 0.5538000000000001], [0.33990000000000004, -0.0838, 0.0055000000000000005, 0.0008, 0.656, -0.0164, 0.7819, 0.0912, -0.0124000000000000... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(3) @ Z(6)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(10) @ Z(5)) + 8.0 * (Z(9) @ Z(10)) + -4.5 * Z(1) + 8.5 * Z(0) + 25.5 * Z(5) + 18.0 * Z(4) + 25.0 * Z(6) + -3.5 * ... | 10 | 11 | 4 | {"smallest_eigenvalues": [-132.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -120.0, "smallest_bitstrings": ["01110001110"], "largest_eigenvalue": 182.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.508551164419041) q[0];
ry(0.028649452551785942) q[1];
ry(-0.190595808381036) q[2];
ry(0.21924258651365014) q[3];
ry(0.7514345886817173) q[4];
ry(0.0505179768569593) q[5];
ry(0.7228797926769536) q[6];
ry(-0.3047067842638478) q[7];
ry(0.009514427720898902) q[8];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIIIZIIZIII",
"IIIZIZIIIII",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IIZIIIIIIIZ",
"ZIIIIZIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIIIZIII",
"IIIZIIIIIII",
"IIZIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-4.5,
8.5,
25.5,
18,
25,
-3.5,
11.5,
-6,
8.5,
-6.5,
-13.5
] | 0.971738 | [
1.508551164419041,
0.028649452551785942,
-0.190595808381036,
0.21924258651365014,
0.7514345886817173,
0.0505179768569593,
0.7228797926769536,
-0.3047067842638478,
0.009514427720898902,
-0.32893117038505804,
0.7796788655128215,
0.3583621519520841,
-0.08097341314652311,
0.0371106934927703,
... | {
"n_parameters": 55,
"n_qubits": 11,
"optimal_eigenvalue": -132,
"target_ratio": 0.97,
"target_value": -128.04
} | 15 |
b2c25a19a038d07471a5450910ba4971 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [3, 6], "expectation_value": -2.2052451376271427, "params": null, "bitstrings": ["11100", "11001"], "total_optimization_steps": 16, "probabilities": [0.057338861254463774, 0.9026324643853599], "optimization_time": 8.643959522247314} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.25, "smallest_bitstrings": ["11100", "11010", "11001", "10101"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | 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[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]... | [
"IIZZI",
"IZIIZ",
"ZIIZI",
"IZZII",
"ZIZII",
"ZZIII",
"ZZZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-1,
-0.5,
-0.25,
-0.25,
-0.25
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
4abb98976c4c92afe6a55c768cbc5f3f | 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": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": ... | {"states": [0, 995], "expectation_value": -10.248352310421922, "params": [-0.1447, 1.1558000000000002, -0.39830000000000004, 1.9407, 0.6381, 0.6801, 0.1273, 1.7326000000000001, -0.6864, 1.0128000000000001, 0.04, 1.4382000000000001, -0.6881, 1.1111, 0.052700000000000004, 1.6056000000000001, 0.678, 1.0693000000000001, -0... | -1.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(1)) + -1.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 1.0 * Z(7) + -1.5 * Z(5) + -1.0 * Z(6) + ... | 6 | 10 | 2 | {"smallest_eigenvalues": [-14.5, -14.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000001000", "0000011100"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.7133345977592517) q[0];
rz(2.4866929748738684) q[0];
rx(2.3349867415549963) q[1];
rz(2.224870407069263) q[1];
rx(-2.866455492363015) q[2];
rz(2.685980046298308) q[2];
rx(-1.2658296346975773) q[3];
rz(-2.6997197482573014) q[3];
rx(0.7260537655303827) q[4];
rz(-2.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIIZIIZI",
"IIZIZIIIII",
"IIIZZIIIII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII"... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
-1,
0.5,
0.5,
0.5
] | 0.933037 | [
-0.7133345977592517,
0.9158966480789713,
2.3349867415549963,
0.6540740802743668,
-2.866455492363015,
1.1151837195034107,
-1.265829634697577,
2.0126692321273887,
0.7260537655303827,
2.1169251406402503,
0.14170288023445293,
0.9891965203733961,
-0.12713335529982597,
1.3120205030996375,
1.07... | {
"n_parameters": 100,
"n_qubits": 10,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 500 |
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": [110, 107], "expectation_value": -18.758985582737978, "params": [[0.0189, 0.017, 0.0034000000000000002, -0.0146], [-0.0436, -0.06720000000000001, -0.0616, -0.040100000000000004]], "bitstrings": ["10010001", "10010100"], "total_optimization_steps": 10, "probabilities": [0.013403753053869856, 0.014344152971865... | 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 | 4 | {"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] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"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 |
6d4bc3f3c748c072751bca4882dd10e8 | 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": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "ta... | {"states": [180, 244], "expectation_value": -5.190378465865011, "params": [[[0.4731, -0.057600000000000005, 0.0085, 0.0014], [0.5992000000000001, 0.6185, 0.2452, -0.2579], [0.41450000000000004, 0.6981, 0.0658, 0.5366000000000001], [0.2031, -0.8594, 0.0854, -0.4219], [-0.1305, -0.1905, 0.1761, -0.687], [-0.0528, 0.114, ... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * Z(6) + -0.5 * Z(0) + -1.0 * Z(7) + -1.5 * Z(4) + 0.0 * Z(1) + -1.0 * Z(2) + 0.0 * Z(3) + 0.0 ... | 11 | 8 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["00001011"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.8906699286862619) q[0];
rz(-0.4858442767777706) q[0];
ry(1.247097764291965) q[1];
rz(0.5501366557862412) q[1];
cx q[1], q[0];
ry(1.0245416821364386) q[0];
rz(0.3023601116211282) q[0];
ry(-0.07679630409725732) q[1];
rz(-0.41183140777796096) q[1];
ry(0.51726801846252... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IZIIIIIZ",
"ZZIIIIII",
"ZIIIIIIZ",
"IZIZIIII",
"IIIZIIZI",
"IZIIIZII",
"ZIIIIZII",
"IIIZIZII",
"IZIIZIII",
"IIZZIIII",
"IZIIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1,
-1.5,
0,
-1,
0,
0
] | 0.978589 | [
0.8906699286862619,
-0.4858442767777706,
1.247097764291965,
0.5501366557862412,
0.5172680184625209,
1.3368698241690706,
0.1638483179538822,
-0.8847922029511961,
-0.2473061988760381,
0.06266229940997688,
-0.011449760620368746,
-0.09641250425556014,
-0.02976966865877266,
0.3901268224329061,
... | {
"n_parameters": 81,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 66 |
d95402f534dca4e34937ada56ff64246 | 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": 4, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 4... | {"states": [3, 1], "expectation_value": -1.0509128885674204, "params": [[0.0286, 0.0358, 0.0818], [-0.024800000000000003, -0.0103, -0.059300000000000005]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.013087968465862677, 0.014342307498310218], "optimization_time": 3.60405731... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + 0.25 * Z(4) + -0.5 * Z(5) + 1.5 * Z(3) + 1.5... | 1 | 7 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.13230586609346) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.13237836260856983) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.13237836260856983) q[4];
cx q[1], q[4];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.364022518576758... | OPENQASM 3.0;
include "stdgates.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",
"IIIIZIZ",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIZIZI",
"IIIZZII",
"IIZZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-1,
-1,
-0.25,
-0.5,
-1.25,
-1.25,
-1,
2,
-0.5,
-1,
-0.25,
-1.5,
0.25,
-0.5,
1.5,
1.5
] | 0.731393 | [
0.13230586609346,
-0.13237836260856983,
-0.5124206816957112,
-0.30967895502240017,
-0.3640225185767584,
0.18564147488397173,
-1.2413245026761297,
0.1313259944068888,
0.6382467076975843,
-1.4287512366811355,
0.16684516368563745,
-0.8832857140518996,
-0.5240109649349867,
-0.5404390904836273,... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 440 |
068ca9ebc869ed2b6b1f40ca0469471e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [1912, 1913], "expectation_value": -0.3748018723293258, "params": [[-0.0024000000000000002, -0.0031000000000000003, -0.7904, -1.5652000000000001, 1.3395000000000001, 0.0025, -1.1114, 1.0658, -0.002, 0.003, -1.5881, 1.5898], [0.1363, -0.7889, -0.0019, -0.8047000000000001, -0.0034000000000000002, 0.00180000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (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)) ... | 9 | 12 | 4 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 23, "first_excited_energy": -2.75, "smallest_bitstrings": ["100100000011", "011000100001", "010010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3957985069517005) q[0];
h q[1];
ry(1.5114028040861018) q[1];
h q[2];
ry(-1.526922983837543) q[2];
h q[3];
ry(-1.526922983837543) q[3];
ry(-0.11440455969290664) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.5672591944997557) q[5];
h q[6];
cx q[6], q[5];
ry(0.56725919449... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIZZZII",
"IIIIIIIIIZIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIIZIIZII",
"IIIIIZIIIZII",
"IIIIZIIIIZII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIIZIIZIZ",
"IIIIIZIIIZIZ",
"IIIIZIIII... | [
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,
0.062... | 0.997874 | [
-1.526922983837543,
-1.4021260090422283,
1.3957985069517005,
1.5114028040861018,
-1.1345183889995114,
0.552255256194146,
-0.39609545392408263,
0.5830247778065006,
-0.30424605695940454,
0.31827948046517196,
-0.26416314121957485,
-0.10853151611952326,
-0.05051947752201759,
0.1195228129329295... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
e2a1dd8d1e083192a6b4cbfd3d9c358e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [26, 27], "expectation_value": -1.9612876826715122, "params": [0.3891, -0.0063, -0.0048000000000000004, 0.21610000000000001, 0.4056, 0.0877, 0.4043, -0.0031000000000000003, 0.1728, 0.2111, 0.40240000000000004, 0.10990000000000001, 0.39490000000000003, -0.009600000000000001, 0.3909, -0.0027, -0.00420000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(6) + 0.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) + 0.0 * Z(5) | 3 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100100", "0100101"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(2.561127667182971) q[0];
ry(3.0195808714253123) q[0];
rz(-0.4520108398180862) q[0];
rz(1.7445075787898734) q[1];
ry(0.11574428247104591) q[1];
rz(-1.3436041184858614) q[1];
rz(-2.2531635464792834) q[2];
ry(0.037223626689449285) q[2];
rz(-2.7063584668997773) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIIZZI",
"IIIZIZI",
"IIZZIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
0,
-0.5,
-0.5,
0
] | 0.974239 | [
1.4488290548844476,
-0.015782899398086414,
-0.15977208976832585,
0.41519064662032595,
-0.23497257928300502,
0.8055126599094278,
1.2553479660937912,
0.13199639482680087,
0.8906888029167648,
0.015318618946984969,
-0.17372367290419877,
-0.25290279496706136,
-0.11046954972514925,
-0.2301598033... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 18 |
-8299092441863773983 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 6], [1, 3, 4, 7], [0, 4, 7], [2, 3, 5], [0, 1, 3, 5], [3, 5, 6, 7], [3, 4, 5, 7], [0, 2, 3, 4], [0, 1, 2, 4]]} | {"states": [213, 241], "expectation_value": -2.2872825840787283, "params": null, "bitstrings": ["00101010", "00001110"], "total_optimization_steps": 42, "probabilities": [0.020459194205999887, 0.9226887602306711], "optimization_time": 70.88333225250244} | 0.3333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.25 * (Z(4) @ Z(3... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3333333333333335, -2.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3333333333333326, "smallest_bitstrings": ["01100001", "00001110"], "largest_eigenvalue": 9.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.5742861803778556) q[0];
h q[1];
ry(0.5853650363369377) q[1];
h q[2];
h q[3];
ry(1.6117121603558036) q[3];
h q[4];
ry(-0.28553955973114276) q[4];
h q[5];
ry(-0.34533472289394984) q[5];
h q[6];
ry(-0.4004450080609985) q[6];
cx q[1], q[6];
ry(0.400445008060998... | 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(1.5547) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IZIIIIZI",
"IZIIIIIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIZIII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIIIZI",
"IIZIIIIZ",
"IZZIIIII",
"IIZIZIII",
"IIZZIII... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.3333333333333333,
0.08333333333333333,
0.16... | 0.973979 | [
1.6117121603558036,
1.5742861803778556,
-0.5710791194622855,
0.8454740788316739,
-0.617869553585165,
0.39772403299075837,
-0.5281762106674546,
0.505998033354934,
-0.6906694457878997,
0.433899662562399,
-0.6302386596746433,
0.2228535626481621,
-0.3619594985986324,
0.5853650363369377,
-0.8... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -2.3333333333333335,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 1 |
17639781641b88f9ffa836608d3b637d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [113, 114], "expectation_value": -4.499105011962898, "params": null, "bitstrings": ["0001110", "0001101"], "total_optimization_steps": 36, "probabilities": [0.065528522270376, 0.9338466720010336], "optimization_time": 30.255824089050293} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -2.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["0001101", "0001110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.00853918573311922) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00853918573311922) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.00853918573311922) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.00853918573311922) q[4];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IIZIIZI",
"IIIZZII",
"IIZIZII",
"IZZIIII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
0,
-0.5,
-0.5,
0
] | 0.974159 | [
-0.00853918573311922,
-1.46907002646597,
0.9850051801492483,
-1.7030247221684855,
-1.4177978208095698,
-1.4428484379449076,
-1.7150907024388522,
1.9780572392671765,
1.482166439868953,
1.6093899059678605
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 39 |
5a8eac0760a558d4174437be478ec0aa | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 4}, {"source": 1, "target": 4}]} | {"states": [23286, 27885], "expectation_value": -6.851130991061025, "params": [[0.2684, 0.6199, 0.7459, 0.7263000000000001], [-0.5279, -0.2556, -0.068, -0.15030000000000002]], "bitstrings": ["010010100001001", "001001100010010"], "total_optimization_steps": 80, "probabilities": [0.005871945744065778, 0.0058719457440657... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 1 | 15 | 4 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.999999999999947, "smallest_bitstrings": ["001001100010010"], "largest_eigenvalue": 24.00000000000011} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.82536574049687) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.24273634073259914) q[1];
h q[2];
h q[3];
ry(-0.24273634073259914) q[3];
cx q[2], q[3];
ry(0.24273634073259914) q[3];
cx q[2], q[3];
ry(1.300380278656536) q[2];
ry(-0.845563361950822) q[3];
h q[4];
cx q[4], q[1];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75,
1,
1,
1
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
-0.5677464941140427,
-0.3011043768554298,
0.6740485844110712,
1.8584456786071313,
-0.3550392547384828,
-0.049666130392177224,
0.1283809090165161,
0.14940958954842865,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
cb943fcd43d9f749780630b91be79506 | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "s... | {"states": [255, 223], "expectation_value": -8.640782129108535, "params": [[[0.0083, -0.0024000000000000002], [0.0021000000000000003, 0.003], [0.0014, 0.0029000000000000002], [0.8722000000000001, -0.003], [0.0016, 0.0029000000000000002], [0.0017000000000000001, -0.0026000000000000003], [0.0027, 0.0031000000000000003], ... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(7) @ Z... | 15 | 9 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["100100000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.0023431358542768677) q[0];
h q[1];
ry(1.0573482311132871) q[1];
h q[2];
ry(0.7381916387806311) q[2];
h q[3];
ry(-1.530172209429997) q[3];
h q[4];
ry(-0.12458245307790583) q[4];
h q[5];
cx q[5], q[4];
ry(0.12458245307790583) q[4];
cx q[5], q[4];
h q[6];
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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIZIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIZIIZI",
"IIIIZZIII",
"ZIIIZIIII",
"IIZZIIIII",
"IIIZZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZZIIIIIII",
"IZIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
1,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-0.75,
0.25,
-0.25,
-1.75,
0.75,
0.25,
-0.25,
1,
-0.25,
0.25
] | 0.971464 | [
-1.530172209429997,
-0.24916490615581166,
-0.004686271708553735,
1.5008255461260471,
-0.9720458421928581,
1.4763832775612622,
1.178692764422778,
0.13200497549453394,
0.8917603156219556,
2.1146964622265743,
-0.0033878110834060365,
0.17746269747617008,
-0.3576571302642504,
0.0906979216744569... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 170 |
9ddcebaaa376040d7f40e787f62c4ee2 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [104, 86], "expectation_value": -0.3329145439971443, "params": [[0.0426, 0.0816], [-0.0046, -0.0682]], "bitstrings": ["0010111", "0101001"], "total_optimization_steps": 10, "probabilities": [0.009664463477997464, 0.01017629679155438], "optimization_time": 2.747540235519409} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(1) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.476920074921542) q[0];
ry(-0.09905821253851034) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-3.1065822105209677) q[2];
cx q[0], q[2];
ry(-0.09156363914389193) q[2];
cx q[0], q[2];
ry(0.12900370798255972) q[0];
ry(-0.0740965660231691) q[3];
rz(-pi) q[3];
ry(-3.0917... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZ",
"ZIIIZII",
"IIIIZZI",
"ZIZIIII",
"IIZIIZI",
"IZIIIZI",
"ZIIZIII",
"IIIZZII",
"IZIZIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1,
-0.5,
-0.5,
-1
] | 0.991048 | [
-1.686064933077053,
-1.4993209104329903,
-1.4612831858638395,
1.476920074921542,
1.5142431307198303,
-0.07083314981577636,
0.18312727828778386,
0.10531564353017844,
0.08798798608106306,
0.25800741596511945,
0.05516559235320829,
-0.05266815835640131,
-0.07499416518871704
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
c24dd733315066f7c7da3d578f954d8c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 2}]} | {"states": [4, 0], "expectation_value": -2.544911536768462, "params": null, "bitstrings": ["11011", "11111"], "total_optimization_steps": 6, "probabilities": [0.003905797211247971, 0.9825329383933348], "optimization_time": 8.377405881881714} | 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0... | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5625, "smallest_bitstrings": ["11111"], "largest_eigenvalue": 4.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-3.109822845335567) q[0];
h q[1];
ry(-1.5582063124952958) q[1];
rz(-pi) q[2];
ry(-3.109822845335567) q[2];
rz(-pi) q[3];
ry(-3.109822845335567) q[3];
h q[4];
ry(1.469755261649514) q[4];
rz(-pi) q[5];
ry(-3.135276556501939) q[5];
cx q[4], q[5];
ry(-0.107... | 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(-1.4868) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIZIZ",
"IZIIZ",
"ZIIIZ",
"IIIZZ",
"IZZII",
"ZIZII",
"IIZZI",
"ZZIII",
"IZIZI",
"ZIIZI",
"IZZIZ",
"ZIZIZ",
"IIZZZ",
"ZZIIZ",
"IZIZZ",
"ZIIZZ",
"ZZZII",
"IZZZI",
"ZIZZI",
"ZZIZI",
"ZZZIZ",
"IZZZZ",
"ZIZZZ",
"ZZIZZ",
"ZZZZI",
"ZZZZZ",
"IIIIZ",
"IIZII",
"IZIII",... | [
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,
-0.5625,
-0.5625,
-0.5625,
-0.5625,
-... | 0.994345 | [
-1.5582063124952958,
1.469755261649514,
0.21471432446647404,
0.2656217467992172,
0.18133959097226313
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
17639781641b88f9ffa836608d3b637d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 5}, {"weight": 13, "source": 1, "target": 2}, {... | {"states": [248, 124], "expectation_value": -31.456385297391375, "params": [[-0.028300000000000002, -0.0006000000000000001, 0.009000000000000001], [0.07590000000000001, 0.07100000000000001, 0.0546]], "bitstrings": ["00000111", "10000011"], "total_optimization_steps": 10, "probabilities": [0.013279264784041594, 0.015662... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(0)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(5)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 174.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.00853918573311922) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00853918573311922) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.00853918573311922) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.00853918573311922) 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[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIIZ",
"IIZIIZII",
"IIZZIIII",
"IIIIZIIZ",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
15,
22.5,
20.5,
14.5,
22,
5.5,
-1.5
] | 0.974159 | [
-0.00853918573311922,
-1.46907002646597,
0.9850051801492483,
-1.7030247221684855,
-1.4177978208095698,
-1.4428484379449076,
-1.7150907024388522,
1.9780572392671765,
1.482166439868953,
1.6093899059678605
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 39 |
6512650cf6e89a13be11a148f896da5d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [70, 82], "expectation_value": -4.496303544205177, "params": null, "bitstrings": ["0111001", "0101101"], "total_optimization_steps": 21, "probabilities": [0.06706488870760842, 0.9295025358453695], "optimization_time": 15.70612096786499} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(1) + -1.0 * Z(2) + -1.0 * Z(4) + -1.5 * Z(6) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011101", "0111010", "0111001", "1100101", "0101101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.183297687329079) q[0];
rz(-0.03664039058173074) q[0];
rx(0.1260084799916275) q[1];
rz(0.8472975682950814) q[1];
rx(0.1212579490174453) q[2];
rz(-0.002983955011109707) q[2];
rx(-0.14987668680080724) q[3];
rz(0.7146256211124697) q[3];
rx(1.0460298228262972) q[4];
rz(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IIIZIZI",
"IIIIZZI",
"IIZZIII",
"IIZIIZI",
"IIZIZII",
"ZIIZIII",
"ZIIIIZI",
"ZIIIZII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-1,
-1,
-1.5,
0
] | 0.972407 | [
1.183297687329079,
0.11165584030740083,
0.1260084799916275,
0.5578048984124397,
0.12125794901744529,
0.09852660045503009,
-0.14987668680080726,
0.5980883483780792,
1.0460298228262972,
0.04247638264942648,
0.9661083981195688,
-0.23005470247308346,
-0.14241558920246883,
0.2010463011399342,
... | {
"n_parameters": 58,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 14 |
ebed2b2f1ddd19051c3f8f1e6db408b8 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": []} | {"states": [411, 413], "expectation_value": -5.710684425785296, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741881, 0.8578073217068284], "optimization_time": 116.19971680641174} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) ... | 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": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-2.815869706397565) q[0];
rz(-0.10266699916250133) q[0];
rx(2.938411203352395) q[1];
rz(-0.359908355829058) q[1];
rx(-0.027903752025837614) q[2];
rz(0.2181567296090501) q[2];
rx(3.0078051915562813) q[3];
rz(0.18559254664400454) q[3];
rx(0.33346172350010733) q[4];
rz(... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": []}} | {"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... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.97428 | [
3.467315600782021,
-0.08758761771970738,
2.938411203352395,
-0.359908355829058,
-0.027903752025837614,
0.2181567296090501,
3.0078051915562813,
0.18559254664400454,
0.33346172350010733,
0.007502932029881421,
3.1040264026485866,
0.08178816583284416,
0.10051399472175349,
-0.3883946671857684,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 19 |
2e9df40997cb418d8be634dabc4b4463 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [471, 407], "expectation_value": -1.0310637834493213, "params": [0.22890000000000002, 0.2298, 0.2983, 0.30010000000000003, 0.3034, 0.29960000000000003, 0.23290000000000002, 0.23670000000000002, -0.006200000000000001, 0.00030000000000000003, 0.2967, 0.29650000000000004, 0.1739, 0.1708, 0.3018, 0.3044, 0.29810... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 13 | 10 | 3 | {"smallest_eigenvalues": [-3.90625, -3.90625, -3.90625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.90625, "smallest_bitstrings": ["1001101000", "0001111000", "1000101001"], "largest_eigenvalue": 6.09375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.0713032083069759) q[0];
rz(-0.4004712889293458) q[0];
rx(0.5449239382254559) q[1];
rz(0.051257603921423645) q[1];
rx(0.28494683249482716) q[2];
rz(0.2500357058007916) q[2];
rx(0.6939043000233256) q[3];
rz(-0.2742568490480135) q[3];
rx(0.35436840402317826) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIZIIIIZ",
"IIZZIIIIII",
"IIIZIIIIZI",
"IZIIIIIIZI",
"IZIZIIIIII",
"IZIZIIIIZI",
"IIIIIZIZII",
"IIIIZIIZII",
"IIZIIIIZII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
-... | 0.970762 | [
-0.07130320830697591,
-0.24902649046134465,
0.5449239382254559,
-0.11435511425734836,
0.28494683249482716,
0.08057166443563232,
0.6939043000233256,
-0.18704164681519608,
0.3543684040231783,
0.03538049003364847,
-0.05484519028648215,
-0.28174910590057667,
0.41784337467598803,
-0.45602806671... | {
"n_parameters": 98,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 27 |
6db46fc059c6f81124803e34100362dc | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, ... | {"states": [2994, 2998], "expectation_value": -1.7348022071094618, "params": [1.0886, 0.3769, 0.6900000000000001, 0.42010000000000003, 1.3024, 0.2253, 1.0682, 0.3103, 1.298, -0.0123, 0.0553, 0.6638000000000001, 1.3036, 0.32270000000000004, 1.2997, -0.0978, 0.48200000000000004, -0.4751, 0.8933000000000001, -0.375, 1.297... | 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(... | 16 | 12 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -2.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.019655499024159567) q[0];
ry(1.1595601537978772) q[1];
ry(0.1209884063694592) q[2];
ry(0.9930175535327839) q[3];
ry(0.6397931256732187) q[4];
ry(-0.0935398170551616) q[5];
ry(1.4532418073516866) q[6];
ry(-0.1362218393794751) q[7];
ry(0.3213617940651091) q[8];
ry(... | OPENQASM 3.0;
include "stdgates.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",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIZZZIIII",
"IIIIIIIZIIIZ",
"IIIIZIIIIIIZ",
"IIIZIIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.... | 0.970301 | [
-0.019655499024159567,
1.1595601537978772,
0.1209884063694592,
0.9930175535327839,
0.6397931256732187,
-0.0935398170551616,
1.4532418073516866,
-0.1362218393794751,
0.3213617940651091,
0.5842795606830228,
-0.05426368705056557,
0.10284527672019492,
-0.019030390019444916,
0.10074151076462524... | {
"n_parameters": 70,
"n_qubits": 12,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 42 |
231c6eb4e7cbdb3201d2afdbe0b8fff4 | 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": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "... | {"states": [0, 4091], "expectation_value": -8.293861225183647, "params": [0.1365, 0.18460000000000001, -0.0055000000000000005, 0.0028, 0.3078, 0.6061000000000001, -0.5849, 0.0034000000000000002, -0.8523000000000001, 0.306, 0.5861000000000001, 0.0027, 0.8951, 0.0936, 0.1126, 0.0022, 0.9142, 0.6549, 0.2616, 0.0091, 0.920... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(0)) + -1.5 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * (Z(2) @ Z(11)) + -1.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(7) + 0.5 * Z(11)... | 6 | 12 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["000000000100"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8007451295348385) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.8007451295348385) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.7610801988452751) q[1];
rx(2.009588437136268) q[1];
rz(-0.7610801988452753) q[2];
cx q[0], q[2];
rz(-0.7... | 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[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIZZIIIIII",
"ZZIIIIIIIIII",
"ZIIIIIIIIZII",
"IZIIIIIIIZII",
"IIIIIIIZZIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIZIIIII",
"IIIZIIIIIIII",
"IIIIIZIIIIII",
"IIIIZIIIIIII",
"ZIIIIIIIIIII",
"IZIIIIIII... | [
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-1.5,
-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
] | 0.612335 | [
-0.8007451295348385,
-0.7610801988452753,
-0.787146829199167,
-1.3015769417497447,
2.009588437136268
] | {
"n_parameters": 5,
"n_qubits": 12,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 175 |
3369282170919035525 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 4, 5, 6], [1, 2, 3, 4, 5], [0, 2, 3], [0, 1, 4], [1, 2, 3, 5, 6], [1, 4, 5, 6]]} | {"states": [79, 115], "expectation_value": -0.8103732015639217, "params": [[0.37870000000000004], [-0.38380000000000003]], "bitstrings": ["0110000", "0001100"], "total_optimization_steps": 40, "probabilities": [0.018642247827594525, 0.018642247827594525], "optimization_time": 2.6163887977600098} | 0.31666666666666665 * (Z(2) @ Z(3)) + 0.1 * (Z(4) @ Z(3)) + 0.1 * (Z(4) @ Z(2)) + 0.15000000000000002 * (Z(5) @ Z(3)) + 0.15000000000000002 * (Z(5) @ Z(2)) + 0.18333333333333335 * (Z(5) @ Z(4)) + 0.1 * (Z(6) @ Z(3)) + 0.1 * (Z(6) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.18333333333333335 * (Z(6) @ Z(5)) + 0.1 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5166666666666668, -1.5166666666666668], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5166666666666664, "smallest_bitstrings": ["0001100", "0010100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(3.0633456332966698) q[0];
rz(0.5232408157184913) q[0];
rx(-3.082932672990664) q[1];
rz(0.4367093732409817) q[1];
rx(0.16545393715438203) q[2];
rz(-0.12831332853190647) q[2];
rx(-3.108353913789522) q[3];
rz(0.41660361611056285) q[3];
rx(0.18247300611720457) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} | [
"IIIZZII",
"IIZZIII",
"IIZIZII",
"IZIZIII",
"IZIIZII",
"IZZIIII",
"ZIIZIII",
"ZIIIZII",
"ZIZIIII",
"ZZIIIII",
"IIIZIZI",
"IIIIZZI",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"IIIZIIZ",
"IIIIZIZ",
"IIZIIIZ",
"IIIIIZZ",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"III... | [
0.31666666666666665,
0.1,
0.1,
0.15000000000000002,
0.15000000000000002,
0.18333333333333335,
0.1,
0.1,
0.13333333333333333,
0.18333333333333335,
0.1,
0.1,
0.3,
0.18333333333333335,
0.13333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.166666666666... | 0.97137 | [
3.0633456332966698,
0.503855165251325,
3.2002526341889226,
0.3699115818840104,
0.16545393715438206,
-0.1913777757269054,
3.1748313933900647,
0.674661626285204,
0.18247300611720463,
-0.09248158066430151,
2.6153912625908866,
3.0236666109505617,
0.1261288943899982,
-0.47854321596952765,
-0.... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -1.5166666666666668,
"target_ratio": 0.97,
"target_value": -1.4711666666666667
} | 11 |
34d5572b76d7f2cf8fff76cf9b8932fe | 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": 6}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [15, 47], "expectation_value": -3.0096183963323107, "params": [0.2675, -0.4602, 0.2743, 0.0015, 0.09230000000000001, 0.5351, 0.08800000000000001, 0.0098, 0.8842000000000001, 0.21050000000000002, 0.8240000000000001, 0.0089, -0.0004, 0.526, -0.0007, 0.00030000000000000003, 0.9086000000000001, 0.2255, 0.9119, 0... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(6) + -0.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(1) + -1.5 * Z(3) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(5) | 5 | 8 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["11010000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14661269272826552) q[0];
rz(-0.8405212643495412) q[0];
rx(0.06563012660252557) q[1];
rz(1.3272632702576814) q[1];
rx(1.8357429440656512) q[2];
rz(0.1422079662826179) q[2];
rx(0.10745036934882084) q[3];
rz(1.2606665382647826) q[3];
rx(1.1966169932302606) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"ZIIIIIZI",
"IIIZZIII",
"IIZIZIII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-1,
-1,
-1.5,
0,
0,
0
] | 0.983618 | [
0.14661269272826552,
-0.5217061333812207,
0.06563012660252557,
0.994723135717039,
1.8357429440656512,
0.11022002103603185,
0.10745036934882084,
0.9743258829266456,
1.1966169932302606,
0.28463603571555574,
1.6258912395027023,
0.024895781927558064,
1.3432882502183674,
0.5919058461698774,
1... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 38 |
ff4d8612be902cee01cbb69055101657 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [36, 44], "expectation_value": -2.3167309858035594, "params": [[[0.6076, 0.0014], [0.3057, -0.0935], [0.603, -0.0021000000000000003], [0.6047, -0.0022], [-0.0119, 0.3134], [0.029500000000000002, -0.2741]], [[0.6075, 0.0014], [0.3083, -0.0935], [0.6015, -0.0021000000000000003], [0.6056, -0.0022], [-0.0193, 0.... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["010110", "000111", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.004484549636475071) q[0];
cx q[4], q[0];
rz(0.7328109886623113) q[0];
rx(-0.8007113399707768) q[0];
cx q[4], q[1];
rz(-0.004484549636475071) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(-0.004484549636475071) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IIZIZI",
"ZZIIII",
"ZIIIZI",
"ZIZIII",
"IZIZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-1,
0
] | 0.988988 | [
-0.004484549636475071,
-1.0690450112060856,
0.7328109886623114,
-1.0758900725224467,
0.8535075540902197,
-0.8007113399707768,
0.07221895186456898,
-0.520197576338447,
-0.671789822082748,
0.6519376481542358,
-0.8638708047021346,
0.2718423097134407,
-0.8220673049085121,
-0.492579786025785,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 32 |
3928188676e428b6c75c7255e5b5e044 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [17, 153], "expectation_value": -13.661318281069706, "params": [[[-0.0083, -0.7962, 0.01, 0.0082], [1.1401000000000001, 1.0427, 0.0172, 1.3056], [0.3831, -0.09230000000000001, 0.385, 0.0543], [0.002, -0.2235, 0.0018000000000000002, 1.1323], [-0.0027, 2.0678, -0.003, -0.7566], [-1.3205, -0.07400000000000001, ... | -0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(1)) + 3.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @... | 11 | 9 | 4 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.75, "smallest_bitstrings": ["101100110"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6073416611042596) q[0];
h q[1];
ry(-0.026345425365336513) q[2];
rz(-pi) q[2];
ry(-0.0007133354418511689) q[3];
rz(-pi) q[3];
h q[4];
ry(0.784490879013381) q[4];
h q[5];
ry(0.7858660089208415) q[5];
cx q[1], q[5];
ry(-0.7858660089208415) q[5];
cx q[1], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x11;
input float[64] x12;
input float[64] x13;
inpu... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIZIIZIII",
"IIZIIIIIZ",
"IZIIIZIII",
"IZIIIIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIIZIZIII",
"IIIZIIIZI",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZIIIIIIZI",
"ZIIZIIIII",
"IIIIIZZII",
"IIZIIIZII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIZIIIIII",
"... | [
-0.75,
-0.75,
-1,
-0.25,
-1,
-1.25,
-0.25,
-0.25,
-0.75,
-1.25,
3,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-1,
-3.25,
-0.25,
-0.75,
0,
1.5,
1,
0.5,
0.75,
0.5
] | 0.917427 | [
-1.569684775288371,
-1.2146833222085192,
1.5715095627947713,
-0.9727393991275854,
1.568981758026762,
0.009254978545741714,
1.571732017841683,
1.2302580760237989,
-0.09868665842247276,
-0.0010310197011390834,
-1.5193809150659674,
-1.892673947695763,
0.09878303233141211,
-0.19886850822880192... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -14.75,
"target_ratio": 0.97,
"target_value": -14.3075
} | 500 |
8321286015559293990 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 6], [1, 4], [8, 2], [3, 5], [1, 7]]} | {"states": [51, 307], "expectation_value": -2.1241790393576885, "params": null, "bitstrings": ["111001100", "011001100"], "total_optimization_steps": 75, "probabilities": [0.04297056155057844, 0.6410793128584719], "optimization_time": 121.57599353790283} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(6) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 12, "first_excited_... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-0.2150143236464784) q[1];
h q[2];
ry(-0.2150143236464784) q[2];
h q[3];
h q[4];
h q[5];
ry(-0.2150143236464784) q[5];
cx q[3], q[5];
ry(0.2150143236464784) q[5];
cx q[3], q[5];
ry(1.399761381506248) q[3];
ry(-0.982910477296815) q[5];
h q[6];
ry(-0.04... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[7], 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... | [
"IIIIIZIIZ",
"IIZIIZIII",
"IIZIIIIIZ",
"IIIIZIIZI",
"ZIIIIIZII",
"IIIZIZIII",
"IZIIIIIZI",
"IIIIIZIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIZIIII",
"IIIIIIIZI",
"IIIIIIZII",
"ZIIIIIIII",
"IIIZIIIII",
"IZIIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0,
0,
0
] | 0.972218 | [
-0.4300286472929568,
1.148960150327793,
-0.8583601843849356,
1.4685026043731395,
-0.2431173550006776,
1.5416445548745972,
0.5016024623569096,
-0.6781125129205083,
0.7474692279471672,
0.12938341178894652,
-0.756787050319939,
0.5026098569787482,
-0.24910058582375877,
0.08059815665384383,
0... | {
"n_parameters": 60,
"n_qubits": 9,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 40 |
be7e2cb61602e2e9b2101189bb676973 | 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": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capac... | {"states": [511, 479], "expectation_value": -16.237452723798473, "params": [[[0.0038, -0.0033], [-0.006, 0.0023], [-0.0048000000000000004, 0.0021000000000000003], [0.0045000000000000005, -0.0023], [-0.6142000000000001, -0.0027], [0.0048000000000000004, 0.0029000000000000002], [0.0105, 0.0022], [0.0033, 0.00240000000000... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8... | 15 | 10 | 3 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1000100000"], "largest_eigenvalue": 12.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.393808986005866) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.393808986005866) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.21762855179405002) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.5789097935492629) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIZIIZIII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIZIIIIII",
"IZIIIIZIII",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIIZIZIII",
"ZIIIIIIIIZ",
"ZIIIIIIZII"... | [
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.25,
-1,
-0.75,
-0.25,
-1,
-0.75,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-1,
-0.5,
2,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.75,
-1,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.25,
-1.25,
0,
0.5,
0.75,
0.5,
-1.25,
1.5
] | 0.465704 | [
-0.393808986005866,
-0.21762855179405002,
-0.420273716133752,
-0.5789097935492629,
0.6353545988654291,
-0.614667344806954,
-0.04122487701570831,
0.11308869142835831,
0.12934103164207297,
0.35391712738102515,
-0.9529131195112988
] | {
"n_parameters": 11,
"n_qubits": 10,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 253 |
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