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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
72ec18873d3dc55875c8efef46485470 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [32, 31], "expectation_value": -3.029430258894953, "params": [[-0.047900000000000005, -0.058100000000000006, -0.042100000000000005], [0.061200000000000004, 0.0693, 0.057800000000000004]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.041130518758375756, 0.04207659538... | -1.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + -2.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + 2.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(4) + -0.25 * Z(1) + 0.75 * Z(2) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(0.6718764267967782) q[1];
h q[2];
h q[3];
ry(0.6718764267967782) q[3];
cx q[2], q[3];
ry(-0.6718764267967782) q[3];
cx q[2], q[3];
ry(1.5535753734037667) q[2];
cx q[2], q[1];
ry(-0.6718764267967782) q[1];
cx q[2], q[1];
ry(0.8533483681362799) q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IZIIZI",
"IIZZII",
"IZIZII",
"IIIZZI",
"ZIZIII",
"ZIIIIZ",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.25,
-0.75,
-1,
-1.25,
-2.5,
-2.25,
-1,
-1.25,
2.25,
-1,
1,
-0.25,
-1.25,
-0.25,
0.75,
0
] | 0.97048 | [
1.3437528535935563,
1.5535753734037667,
0.8533483681362799,
-0.9362082007339845,
0.4623959360555589,
0.35436786059694586,
0.04302867212514143,
0.0500982270858599,
-1.6453394811112914,
-0.9180761020979388,
-1.558383651126498,
1.0819988838696692,
1.0170011116603797,
-0.25552214888759683,
-... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 108 |
199bc20adfdca6d6b6a06391ec8e4ac2 | 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": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, ... | {"states": [12, 13], "expectation_value": -1.8254731324149995, "params": [-0.0021000000000000003, 0.0, 0.45370000000000005, 0.0041, 0.8259000000000001, 0.003, 1.7058, 0.0012000000000000001, 1.7140000000000002, 0.0041, 0.44210000000000005, 0.0034000000000000002, 1.6219000000000001, 0.0041, 0.0036000000000000003, 0.004, ... | 0.5 * (Z(2) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + -0.75 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) | 3 | 7 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.25, "smallest_bitstrings": ["1100101", "1011010", "1100011", "1110010"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.4523877721739808) q[0];
cx q[2], q[0];
rz(-0.5386799338415806) q[0];
rx(1.0935187697481359) q[0];
h q[3];
cx q[2], q[3];
rz(-0.4523877721739808) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.4523877721739808) q[1];
cx q[3], q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IIIZIZI",
"ZZIIIII",
"IZZIIII",
"ZIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5
] | 0.677103 | [
-0.4523877721739808,
1.116287236063286,
-0.5386799338415805,
0.23783543840422666,
1.093518769748136,
-1.0373413032551704,
0.8730239505219086,
0.5760838156648229,
0.5260612418381394
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 229 |
7fa6d926fed88692e1dac2092e1fc75e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1023, 127], "expectation_value": -3.427177309522111, "params": [[-0.0509], [0.057800000000000004]], "bitstrings": ["0000000000", "1110000000"], "total_optimization_steps": 10, "probabilities": [0.001928869030390373, 0.001987120284497491], "optimization_time": 0.9638738632202148} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + -3.5 * (Z(5) @ Z(4)) + -3.5 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(4)) + -3.5 * (Z(6) @ Z(3)) + -3.5 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(6)) + 1.0 * (Z(9) @ Z(4)) + -3... | 1 | 10 | 1 | {"smallest_eigenvalues": [-48.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -45.5, "smallest_bitstrings": ["1110000000"], "largest_eigenvalue": 41.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1834639132406213) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.1834639132406213) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.08833711328509519) q[1];
rx(1.1161354120222897) q[1];
rz(1.1834639132406213) q[2];
cx q[0], q[2];
rz(0.3289... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZIZIIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIZIZIIIII",
"IIZZIIIIII",
"ZIIIIZIIII",
"ZIIIIIZIII",
"ZIIIZIIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"IZIIIZIIII",
"IZIIIIZIII"... | [
-2,
-2,
-2,
-3,
-3.5,
-3.5,
1,
-3.5,
-3.5,
1,
-3.5,
-3.5,
1.5,
1,
-3.5,
-3.5,
1.5,
-2.5,
0.5,
2,
-3.5,
-3,
-3,
-3,
-1.5,
1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.5722 | [
1.1834639132406213,
0.5935010737801663,
0.5319088476964644,
0.32230837455040784,
0.3289318936629122,
0.6572347504757033,
0.023556426999562466,
0.3924467981304847,
0.08833711328509473,
1.11613541202229
] | {
"n_parameters": 10,
"n_qubits": 10,
"optimal_eigenvalue": -48.5,
"target_ratio": 0.97,
"target_value": -47.045
} | 250 |
-3316811709459775078 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 5, 6], [1, 2, 3], [0, 4, 5, 6], [0, 1, 2, 6], [0, 2, 4], [3, 4, 5, 6], [2, 4, 6], [1, 2, 5, 6], [2, 3, 4]]} | {"states": [89, 109], "expectation_value": -1.0904770534338073, "params": [[0.26180000000000003], [-0.2621]], "bitstrings": ["0100110", "0010010"], "total_optimization_steps": 30, "probabilities": [0.01626684905978895, 0.016981980974337896], "optimization_time": 2.0553059577941895} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.41666666666666663 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(5)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333334, "smallest_bitstrings": ["0010010"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(2.9042395950782525e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-2.008773801476984e-08) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-2.008773801476984e-08) q[5];
cx q[0], q[5];
h q[6];
cx q[2], q[6];
rz(0.61562... | OPENQASM 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 ... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IIIIIZZ",
"IZIIIZI",
"ZIIIIZI",
"IIIZZII",
"IZIZIII",
"ZIIZIII",
"IIIZIZI",
"IIZIZII",
"IIZIIIZ",
"IZZIIII",
"ZIZIIII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"III... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.41666666666666663,
0.25,
0.3333333333333333,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.5,
0.25,
... | 0.854358 | [
2.9042395950782525e-8,
-2.008773801476984e-8,
0.6156242605317626,
7.603379638657252e-8,
-4.5534839199788075e-8,
-0.3676827208711444,
-1.570796237780465,
1.5707963130832818,
1.5707962035477305,
1.570796195429284,
1.5707961563231514,
-1.570796298872601
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -2.416666666666667,
"target_ratio": 0.97,
"target_value": -2.3441666666666667
} | 282 |
-6656420279382884463 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 3, 4, 6], [0, 2, 3, 5, 6, 7]]} | {"states": [242, 178], "expectation_value": -0.27194845318244015, "params": null, "bitstrings": ["00001101", "01001101"], "total_optimization_steps": 49, "probabilities": [0.04602681226553107, 0.06038577761135677], "optimization_time": 84.86367917060852} | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.06666666666666667 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.06666666666666667 * (Z(3) @ Z(0)) + 0.06666666666666667 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(0)) + 0.03333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-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], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -0.39999999999999997, "smallest_bitstrings": ["11000001", "01000110", "00011100", "01001101", "00011001", "00101001", "01010001", "01010100",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.2007065623138935) q[0];
h q[1];
ry(-0.0841699835714678) q[1];
ry(-3.0572973385143034) q[2];
rz(-pi) q[2];
h q[3];
ry(1.3055660418520223) q[3];
cx q[3], q[2];
ry(0.13695819230376208) q[2];
cx q[3], q[2];
ry(0.16832798680156164) q[3];
cx q[2], q[3];
ry(-0.168... | 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(0.7604) 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",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZZIIIII... | [
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.066666666666666... | 0.970097 | [
1.3055660418520223,
1.623459204023169,
1.0310752484252732,
1.2007065623138935,
-0.27391638460752415,
0.33665597360312327,
0.5822574976841177,
0.21912702124892416,
-0.19791812274704296,
0.02874247235742164,
-0.1683399671429356,
-0.16287940016666458,
-0.21942204205817753,
0.1308165313949447,... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -0.4,
"target_ratio": 0.97,
"target_value": -0.388
} | 32 |
9f16651ff069e7e4b10d7e6e3ea493cf | 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": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.5030881212504519, "params": [[0.0669, 0.06470000000000001, 0.0487], [-0.0596, -0.062200000000000005, -0.0524]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.006407774605774589, 0.007185883856170246], "optimization_time": 4.130... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(6) + -0.75 * Z(7) + 0.5 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.10963318844684469) q[0];
ry(-0.10784227629783924) q[1];
ry(0.04903416532490154) q[2];
ry(-0.06456811418837632) q[3];
ry(-0.06278920391668384) q[4];
ry(0.016083486528017166) q[5];
ry(-0.09115505483951711) q[6];
ry(3.0615251106487658) q[7];
cx q[7], q[0];
cx q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIZIII",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIIZI",
"IIIIZZII",
"IIIIIZZI",
"ZIIZIIII",
"IZZIIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII"
] | [
-0.25,
-0.5,
-0.25,
0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
0,
-0.25,
0,
-0.75,
0.5,
0,
0.5,
0
] | 0.970232 | [
0.10963318844684469,
-0.10784227629783924,
0.04903416532490154,
-0.06456811418837632,
-0.06278920391668384,
0.016083486528017166,
-0.09115505483951711,
3.0615251106487658,
0.6745970847881372,
0.004343756851912965,
-0.11081314270066006,
-0.2897526101286637,
-0.016448119872728477,
-0.2862374... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
eb532b3fe9f318ccb3658a6712436b91 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [5, 1], "expectation_value": -0.52524706147695, "params": [[0.0703], [-0.060000000000000005]], "bitstrings": ["11111010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0050599731636047154, 0.005205731940574459], "optimization_time": 5.23699164390564} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110", "11111010"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.06974099551047935) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.5890406829503434) q[1];
rz(-pi) q[2];
ry(-0.0021096615779952286) q[2];
ry(-0.008898726702413838) q[3];
rz(-pi) q[3];
rz(-pi) q[4];
ry(-0.15495898986146583) q[4];
h q[5];
h q[6];
ry(-1.5890406829503434) q[6];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIZZII",
"IIIZZIII",
"IZIIZIII",
"IIZIIIZI",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII"
] | [
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-1,
2.75,
-1,
-0.75,
-0.5,
-0.5,
-0.75,
-0.25,
-1.5,
-0.25,
-0.25,
-0.75,
-0.75,
1.75,
0.75,
1
] | 0.995387 | [
1.4393368061031235,
-1.4512118663580789,
-1.5890406829503434,
-1.7277524128220563,
-1.5364768252188215,
-1.6101287227830505,
-0.07285832630814085,
-0.09968692985267691,
-0.03243337430224796,
0.003994192331387751,
0.0964622453811357
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 1 |
5264b19f3401032e019b258a19fe08a0 | 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": 4, "source": 0, "target": 7}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 3, ... | {"states": [127, 125], "expectation_value": -5.249511221139249, "params": null, "bitstrings": ["10000000", "10000010"], "total_optimization_steps": 46, "probabilities": [0.24988560795313905, 0.24988560795313905], "optimization_time": 46.096468448638916} | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -1.0 * Z(7) + -0.25 * Z(0) + 1.25 * Z(1) + 0.0 * Z(3) + 1.0 * Z(5) + 0.25 * Z(4) + -0.25 * Z(2) + -1.0 * Z(6) | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000010", "10000000", "10100010", "10100000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5005925624115236) q[0];
h q[1];
ry(1.591564001118678) q[1];
h q[2];
h q[3];
ry(0.6952504778853904) q[3];
h q[4];
ry(0.6873945331184697) q[4];
h q[5];
ry(0.7975154858498489) q[5];
cx q[1], q[5];
ry(-0.7975154858498489) q[5];
cx q[1], q[5];
cx q[1], q[0];
cx... | 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(1.5706) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIZIZI",
"ZIZIIIII",
"IIZIZIII",
"ZIIZIIII",
"IIZZIIII",
"IIIZIZII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII"
] | [
0.25,
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-1,
-1,
-0.25,
1.25,
0,
1,
0.25,
-0.25,
-1
] | 0.990522 | [
1.591564001118678,
1.5950309716996978,
1.3905009557707808,
1.3747890662369393,
-1.0011851248230472,
1.5602692576684745,
-0.47416091488479784,
0.15379816803838467,
-0.0676587155553047,
0.014497427338701935,
0.011633393811882156,
-0.04397621596557995,
-0.044092031982984496
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
239e0c960fc9df6885bc085f6bdae7ed | 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": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 9}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -19.847202856219937, "params": [-0.034800000000000005, 0.0162, -0.0256, 0.0066, -0.0021000000000000003, 0.22870000000000001, -0.0033, 0.2351, 0.2994, -0.0001, 0.2983, 0.0001, -0.0011, 0.22940000000000002, -0.0059, 0.2343, 0.0046, 0.1584, -0.0026000000000000003, 0.1952, -0.0, 0.... | -1.0 * (Z(0) @ Z(3)) + -1.0 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(0)) + -0.5 * (Z(2) @ Z(3)) + 1.75 * (Z(2) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(10)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -1.0 * (Z(9) @ Z(3)) + -0.25 * (Z(9) @ Z(10)) + -1.5 * (Z(9) @ Z(1)) + -0.75 * (Z(9) @ ... | 6 | 11 | 3 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.04211203373852983) q[0];
rz(1.770528595802734) q[0];
rx(-0.25061984073388016) q[1];
rz(1.652728689894154) q[1];
rx(0.42290999182305544) q[2];
rz(1.2565381974990313) q[2];
rx(-0.024312058481099755) q[3];
rz(2.0976232976415705) q[3];
rx(-0.2692091286287681) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"ZIIIIIIZIII",
"ZIIIIIIIIIZ",
"IIIIIIIZZII",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIZIIIZIII",
"ZIIZIIIIIII",
"IIIZIIIIZII",
"IIIZIIIIIZI",
"IZIIIIIZIII",
"ZZIIIIIIIII",
"IZIIIIIIIZI",
"IZIZIIIIIII",
"IIIIIZIZIII",
"ZIIIIZIIIII",
"IIIIIZIIIZI",
"IIIZIZIIIII",
"IZIIIZIII... | [
-1,
-1,
-0.5,
-0.5,
1.75,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.25,
-1.5,
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.75,
-0.75,
-1.25,
-0.75,
-0.75,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.25,
-0.75,
2,
-0.25,
-2.5,
0.75,
-1,
1.75,
-1.25,
0.25... | 0.972029 | [
-0.04211203373852983,
0.19973226900783717,
-0.25061984073388016,
0.08193236309925755,
0.42290999182305544,
-0.3142581292958648,
-0.024312058481099755,
0.5268269708466735,
-0.26920912862876806,
0.2850090046161702,
-0.19536219536645422,
0.3327053224136925,
0.1319439112348439,
0.2398013704569... | {
"n_parameters": 133,
"n_qubits": 11,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 39 |
eef64d2a5dbf018785bb2eafc31c3245 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 3, ... | {"states": [7, 15], "expectation_value": -10.643151775031937, "params": [0.0002, 0.3315, -0.0018000000000000002, 0.37470000000000003, -0.004, 0.3865, -0.0008, 0.35550000000000004, 0.2086, 0.00030000000000000003, 0.46790000000000004, 0.0024000000000000002, 0.4938, 0.0015, 0.5075000000000001, -0.0013000000000000002, 0.00... | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + 2.5 * (Z(7) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 1.0 * Z(7) + -2.25 * Z(2) + -0.5 * Z(4) + 2.0 * Z(5) + 0.75 * Z(6) | 4 | 8 | 4 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["11110000"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.10702764500306078) q[0];
rz(1.8460079357091796) q[0];
rx(-0.09900207468748345) q[1];
rz(1.810072638291011) q[1];
rx(-0.10295100411381941) q[2];
rz(1.8216471371099985) q[2];
rx(-0.08088515754317219) q[3];
rz(1.6163125792682465) q[3];
rx(0.3932787664762013) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIZZII",
"ZIIZIIII",
"IIZIIZII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1.25,
-1,
2.5,
-1.5,
-0.75,
-0.75,
-1.25,
-0.75,
-1.25,
-0.25,
0.5,
1,
-2.25,
-0.5,
2,
0.75
] | 0.980626 | [
-0.10702764500306078,
0.27521160891428315,
-0.09900207468748345,
0.2392763114961134,
-0.10295100411381941,
0.2508508103151006,
-0.08088515754317219,
0.04551625247334859,
0.39327876647620125,
0.06958748977032685,
0.7492571955383739,
-0.2769461864098085,
0.47868772864866804,
-0.1464960204355... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -14.75,
"target_ratio": 0.97,
"target_value": -14.3075
} | 16 |
6abfcea40fcfb2aee6e60541a981751a | 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": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 5}, {"capacity": 1, "source": 3, ... | {"states": [25, 91], "expectation_value": -2.1972088445682085, "params": null, "bitstrings": ["11100110", "10100100"], "total_optimization_steps": 42, "probabilities": [0.16011577782086361, 0.6996868065175307], "optimization_time": 42.92778539657593} | 0.25 * (Z(0) @ Z(7)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + 0.0 * Z(7) + -0.25 * Z(0) + -0.5 * Z(6) + 0.5 * Z(1) + 0.0 * Z(2) + -0.25 * Z(5) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 8 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5, "smallest_bitstrings": ["10000100", "10000000", "10100100"], "largest_eigenvalue": 3.5} | 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];
cx q[7], q[0];
rz(-1.0595857759622829) q[0];
cx q[7], q[0];
rz(0.6048134702058414) q[0];
rx(1.029216584893515) q[0];
cx q[7], q[6];
rz(0.6048134702058412) q[6];
cx q[7], q[6];
cx q[6], q[1];
rz(-0.097899551... | 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];\ncry(1.4449) q[6], 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] = mea... | [
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIIZI",
"IZIIIZII",
"IIZIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
0,
-0.25,
-0.5,
0.5,
0,
-0.25,
0.25,
0.25
] | 0.577358 | [
-1.0595857759622829,
0.6048134702058412,
-0.09789955183094325,
-0.06106895996654886,
-1.6195074235481492,
1.0292165848935153
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 157 |
-5197858984033569827 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 10, 5, 7], [8, 11, 3, 7], [10, 2, 4, 7], [0, 3, 11, 4], [1, 4, 6], [8, 2, 7], [8, 11, 6], [0, 9]]} | {"states": [3635, 3891], "expectation_value": -2.2900747458232598, "params": [1.5668, 0.0031000000000000003, 1.5687, 0.007200000000000001, 1.5727, -0.0034000000000000002, 1.5732000000000002, 0.009000000000000001, 1.5752000000000002, -0.0021000000000000003, 1.5722, 0.007200000000000001, 0.8099000000000001, 0.2901, 0.813... | 0.08333333333333333 * (Z(1) @ Z(10)) + 0.08333333333333333 * (Z(5) @ Z(10)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(10)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.25 * (Z(8) @ Z(7)) + 0.08333333333333333 * (Z(11) @ Z(7)) + 0.25 * (Z(11) @ Z(8)) + 0.0... | 7 | 12 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.499999999999999, "smallest_bitstrings": ["011000000101", "000011001100", "100000110000"], "largest_eigenvalue": 7.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.392229470945107) q[0];
rz(0.026625980227409585) q[0];
rx(1.3303473647425108) q[1];
rz(-0.15315540861451932) q[1];
cx q[1], q[0];
rz(-0.05146908762489884) q[0];
cx q[1], q[0];
rx(1.7514645590052769) q[0];
rz(-0.012966550797987919) q[0];
rx(1.8353571202907273) 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": []} | [
"IZIIIIIIIIZI",
"IZIIIIZIIIII",
"IIIIIIZIIIZI",
"IZIIZIIIIIII",
"IIIIZIIIIIZI",
"IIIIZIZIIIII",
"IIIZZIIIIIII",
"ZIIIZIIIIIII",
"ZIIZIIIIIIII",
"IIIIZIIIZIII",
"IIIZIIIIZIII",
"ZIIIIIIIZIII",
"IZIIIIIIIZII",
"IIIIZIIIIZII",
"IIIZIIIIIZII",
"IZIIIIIZIIII",
"IIIIIIIZIIZI",
"IIIIZIIZI... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.16666666666666666,
0.08333333333333... | 0.980095 | [
1.392229470945107,
-0.024843107397488996,
1.3303473647425108,
-0.15315540861451932,
1.7819895031817574,
-0.02747308638661491,
1.2560188809369224,
0.03610029361316214,
0.1199930698279782,
-0.9169997961328258,
0.27555877043536275,
-0.6779004144160777,
1.4965122332159757,
1.609195295855206,
... | {
"n_parameters": 54,
"n_qubits": 12,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 15 |
5e1f1e75ba04327de43b1491321a7511 | 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": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 0, ... | {"states": [67, 1], "expectation_value": -3.4462452843062024, "params": [[-0.0596, -0.0558, -0.047], [0.0724, 0.0636, 0.0563]], "bitstrings": ["10111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.01447423758139817, 0.015681989840813097], "optimization_time": 4.828250408172607} | -0.75 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.75 * (Z(5) @ Z(3)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.28663161818796734) q[0];
h q[1];
h q[2];
ry(-1.6210146603569464) q[2];
h q[3];
ry(-1.6210146603569464) q[3];
h q[4];
ry(-1.6210146603569464) q[4];
ry(-0.2510354001517809) q[5];
rz(-pi) q[5];
h q[6];
ry(0.6181421229289458) q[6];
cx q[1], q[6];
ry(-0.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIIZIII",
"IZIIIIZI",
"ZZIIIIII",
"IIZIIZII",
"IIZZIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII"
] | [
-0.75,
-1.5,
-0.75,
3.25,
-0.25,
-0.5,
-0.25,
-1,
-0.5,
-0.75,
-1.5,
-1.75,
0.5,
-0.25,
-0.25,
0.75,
2.5,
-2.25,
-0.5,
-0.5
] | 0.974536 | [
1.6268721490235387,
-2.1726476528244962,
-1.6210146603569464,
-1.2411755802850961,
1.2362842458578915,
-1.0503144986838098,
-0.3427277786644807,
-0.7765492679923298,
-1.1729325369956523,
-1.0244981473774728,
0.6304394156832644,
-0.6913760511837018,
0.5549559263937737,
-0.15717069271603917
... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 15 |
c502b67eb6d91d909ba398fa39bec60c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [2, 0], "expectation_value": -2.1123752360149437, "params": null, "bitstrings": ["1101", "1111"], "total_optimization_steps": 5, "probabilities": [0.003925267827143744, 0.9874310668157752], "optimization_time": 3.1401822566986084} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + -0.625 * Z... | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.125, "smallest_bitstrings": ["1111"], "largest_eigenvalue": 3.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(-0.057394609977100594) q[0];
ry(1.5139044986832286) q[1];
ry(0.02914218421175388) q[2];
ry(-0.044368933537627414) q[3];
ry(1.4230068144719492) q[4];
ry(-0.11603950978641897) q[5];
ry(-0.5094548802261205) q[6];
ry(0.04971594069488461) q[7];
ry(0.04895829829331563) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5158) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"ZZII",
"IZZZ",
"ZIZZ",
"ZZIZ",
"ZZZI",
"ZZZZ",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.625,
-0.625,
-0.625,
-0.625
] | 0.971723 | [
-0.057394609977100594,
1.5139044986832286,
0.02914218421175388,
-0.044368933537627414,
1.4230068144719492,
-0.11603950978641897,
-0.5094548802261205,
0.04971594069488461,
0.04895829829331563,
-0.1877934380534667,
1.2428533808206035,
0.09499352879649384,
2.05426296872183,
0.0193934036593824... | {
"n_parameters": 30,
"n_qubits": 15,
"optimal_eigenvalue": -7.999999999999979,
"target_ratio": 0.97,
"target_value": -7.759999999999979
} | 54 |
589a81c8fd04d28f25b3e8e25563f55c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 3, "source": 3, ... | {"states": [124, 127], "expectation_value": -5.241560433872697, "params": null, "bitstrings": ["10000011", "10000000"], "total_optimization_steps": 65, "probabilities": [0.0020220243148332756, 0.9938053867040454], "optimization_time": 80.82926869392395} | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * Z(7) + -0.25 * Z(0) + 0.0 * Z(4) + -0.25 * Z(1) + 1.25 * Z(3) + -1.25 * Z(2) + -0.5 * Z(6) + 1.25 * Z(5) | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5130369850171268) q[0];
h q[1];
ry(0.6921837006580918) q[1];
ry(-2.9297706304665203) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4827454569868557) q[3];
h q[4];
ry(0.7494136005938985) q[4];
h q[5];
ry(0.7413727284934278) q[5];
cx q[3], q[5];
ry(-0.7413727284934278) q... | 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(1.5706) 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[... | [
"ZIIIIIIZ",
"IIIZIIZI",
"IIIIZIZI",
"IIIIZZII",
"ZZIIIIII",
"IZIZIIII",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII"
] | [
0.25,
-0.5,
-0.75,
-1,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
0,
-0.25,
1.25,
-1.25,
-0.5,
1.25
] | 0.987277 | [
1.4827454569868557,
1.3843674013161835,
1.498827201187797,
1.4332589832961582,
-1.0260739700342536,
1.4650064478335973,
-0.45148341590726787,
0.1454629789395838,
0.03571598507532223,
0.17021348520364954,
0.09444752324091105,
-0.05078619528911972,
0.03558495876298554,
0.0021142938081167356,... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
b93e7e87e2621c92c7ba04b041c49bf3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [56, 41], "expectation_value": -3.9999374799845198, "params": null, "bitstrings": ["000111", "010110"], "total_optimization_steps": 26, "probabilities": [1.6356460472479446e-05, 0.9999687407489248], "optimization_time": 19.25244688987732} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.18095492688154305) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.18095492688154305) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.18095492688154305) q[2];
cx q[3], q[2];
rz(0.8074839178710835) q[3];
rx(1.411180127000671) q[3]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IIZZII",
"IZIZII",
"IIIZZI",
"ZZIIII",
"ZIIIZI",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1,
-0.5
] | 0.923411 | [
-0.18095492688154305,
0.8074839178710835,
-0.9410650216682992,
1.4111801270006712,
-0.7361957294362335,
0.4420026896995149,
0.28479132416285424,
1.0392592742276436,
-0.5347775873994031,
1.322723886363652,
-1.2976651434758002,
0.9340766908427282,
-0.730793540399182,
0.9791307353720787,
-1... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 419 |
0736b1161a5a600a3b5b1b2ae725bcb7 | 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": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [0, 193], "expectation_value": -11.694994840456536, "params": [-0.0263, 0.031900000000000005, 0.0028, -0.3941, 0.3491, -0.108, -0.4737, -0.009600000000000001, -0.2432, 0.7899, -0.37370000000000003, 0.7115, -0.005, 0.3516, -0.01, 0.0587, -0.0017000000000000001, 0.5786, -0.0032, 0.41850000000000004, -0.0011, 0... | -0.75 * (Z(0) @ Z(6)) + -1.0 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(8)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @... | 6 | 9 | 4 | {"smallest_eigenvalues": [-12.25, -12.25, -12.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -11.25, "smallest_bitstrings": ["100000000", "100000100", "100111110"], "largest_eigenvalue": 12.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-pi) q[0];
ry(-0.028963033118374542) q[0];
h q[1];
ry(0.7523113712517789) q[1];
h q[2];
cx q[2], q[1];
ry(-0.7523113712517789) q[1];
cx q[2], q[1];
ry(0.5790360660699018) q[2];
cx q[1], q[2];
ry(-0.5790360660699018) q[2];
cx q[1], q[2];
ry(0.058438774015780535) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IIZIIIIZI",
"IIZIIZIII",
"IIIIIZIZI",
"IZIIIIIZI",
"IZIIIZIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIIIZZI",
"IZIIIIZII",
"ZIIIIIZII",
"IIZZIIIII",
"IIIZIZIII",
"IZIZIIIII",
"IIIZIIZII",
"IIZIZIIII",
"IIIIZZIII",
"IZIIZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
-0.75,
-1,
-0.25,
-0.5,
-0.25,
-1,
1,
-0.75,
-0.75,
-0.5,
-0.25,
-1.25,
-1,
-0.75,
-0.75,
-0.5,
-1,
-1,
-2.25,
-0.25,
1.25,
-0.25,
-0.5,
0,
1.25,
-0.25,
1
] | 0.97806 | [
-1.573159116598947,
-1.526511268874567,
1.5964436306868186,
1.5046227425035579,
1.1580721321398035,
0.11687754803156107,
0.2275878535707746,
0.03924430621185428,
0.08743363444317828,
-0.1464961820774085
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 1 |
fa12f3a697c97a90a7d75ad197dde7b9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [49, 22], "expectation_value": -0.2538798451592889, "params": [[-0.0509, -0.0629], [0.0659, 0.0694]], "bitstrings": ["001110", "101001"], "total_optimization_steps": 10, "probabilities": [0.019245427064428774, 0.019245427064428777], "optimization_time": 2.110947370529175} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "101001", "101010", "110010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(x0) q[4];
c... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIZIIZ",
"IIIZZI",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIZIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
0,
0,
0
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
6573790533608945682 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 7], [2, 5], [0, 3, 7], [0, 1, 7], [3, 4, 7], [0, 3, 5], [3, 6], [0, 2, 3], [1, 4, 5], [1, 2, 4], [0, 1, 6], [4, 6, 7], [1, 5, 7], [5, 6], [3, 5, 7], [2, 6, 7], [0, 3, 4], [1, 6, 7]]} | {"states": [157, 143], "expectation_value": -4.30317011135978, "params": null, "bitstrings": ["01100010", "01110000"], "total_optimization_steps": 56, "probabilities": [0.07733544818977445, 0.7661870641730362], "optimization_time": 106.05661940574646} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.6666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.3333333333333333 * (Z(3) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.499999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666668, "smallest_bitstrings": ["01110000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.8205585538762579) q[0];
h q[1];
ry(-0.41923275212420175) q[1];
h q[2];
ry(-0.419656469842281) q[2];
h q[3];
ry(-0.41244393901651116) q[3];
h q[4];
ry(1.644942857112946) q[4];
h q[5];
cx q[5], q[2];
ry(0.419656469842281) q[2];
cx q[5], q[2];
ry(-0.3245483964... | 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(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIZIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"IIZIIZII",
"IIZIIIIZ",
"ZIZIIIII",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIZIII",
"IIZIZIII",
"IIIIIZZI",
"IIIIIIZZ",
"ZIIIIIZI",
"IIZIIIZI",
"IIIZIZII",
"IIIZIIIZ",
"ZIIZIIII",
"IIZZIIII",
"IIIZZIII",
"IIIZIIZI",
"IZIIIZII",
"IZIIIIIZ",
"ZZIIIII... | [
0.3333333333333333,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.6666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,... | 0.971337 | [
1.5662692624268086,
1.8205585538762579,
-0.8248878780330223,
1.644942857112946,
-0.839312939684562,
0.9215628744202005,
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0.3613077926750539,
-0.5938127995493397,
0.6113508500734556,
-0.4674024272410265,
-... | {
"n_parameters": 33,
"n_qubits": 8,
"optimal_eigenvalue": -4.499999999999997,
"target_ratio": 0.97,
"target_value": -4.3649999999999975
} | 13 |
6eeafc1802cd635d6723c166bcb76122 | 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": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -1.028175623499397, "params": [[0.0726, 0.0594, 0.0775, 0.0782], [-0.0796, -0.0409, -0.061500000000000006, -0.06770000000000001]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.018666416508546006, 0.019393395807447963], "optimization_ti... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * Z(4) + -0.25 * Z(0) + 0.5 * Z(6) + 0.0 * Z(2) + 0.75 * Z(1) + -0.25 * Z(3) + 0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000100", "1000110", "1111100", "1111110", "1010100", "1010110"], "largest_eigenvalue": 5.75} | 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(-0.09205925177352985) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.5301334911355412) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[2];
rz(-0.09205925177352985) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} | [
"IIZIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIZII",
"IIIIZZI",
"IIIZIZI",
"IZZIIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
-0.5,
-0.25,
0.75,
-0.5,
-0.5,
-0.75,
-0.5,
-1.25,
-0.25,
0.5,
0,
0.75,
-0.25,
0.5
] | 0.61096 | [
-0.09205925177352985,
0.5301334911355412,
1.806811952172955,
-0.1326422811675516,
-1.3890424453927883,
-0.8579735972691735,
1.1466644722968449,
-1.278835031274433
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 241 |
4002e7c825d905d476562dd2a4250026 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [527, 591], "expectation_value": -0.8933348456382062, "params": [0.7976000000000001, 0.804, 0.5889, 0.5937, 0.5608000000000001, 0.5456, 0.8069000000000001, 0.8082, 0.6305000000000001, 0.5957, 0.005200000000000001, 0.0001, 0.8028000000000001, 0.802, 0.8061, 0.7998000000000001, 0.7996000000000001, 0.801, 0.805... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(5) @ Z(8)) + 0.0625 * (Z(6) @ Z(7)) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.6875, "smallest_bitstrings": ["1010010001", "0110110000", "0100111000", "0110010010", "0110010001"], "largest_eigenvalue": 6.3125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-3.118507042708292) q[0];
ry(-0.025378205163912124) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5301870592080595) q[2];
h q[3];
ry(-1.5175118545593271) q[3];
ry(-3.136360018442798) q[4];
rz(-pi) q[4];
cx q[2], q[4];
ry(0.01375238636405611) q[4];
cx q[2], q[4];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIZZZII",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIIZZIIIII",
"IIZIZIIIII",
"IZIIZIIIII",
"IIZZIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIZZIIIIZ",
"IIZIZIIIIZ",
"IZIIZIIIIZ",
"IIZZIIIIIZ",
"IZIZIIIIIZ"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
... | 0.995154 | [
-1.5175118545593271,
-1.5974341158562466,
-1.4759827115175996,
1.5301870592080595,
1.5793160780119577,
-0.13887082022676997,
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0.24593010025788947,
0.12738975693667637,
0.06238370915205528,
-0.03190890137464023,
0.0074460703489463344
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
d78f7556e7639886d17f02ad3944a31a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [0, 451], "expectation_value": -16.162521641773505, "params": [0.3569, 0.2331, -0.1082, 0.1388, 0.4188, 1.1735, 0.050800000000000005, 1.1391, 0.4585, 0.7128, 0.46830000000000005, 1.2517, 0.0083, 0.7782, -0.0125, 0.9473, -0.01, 0.8625, -0.0031000000000000003, 0.9051, -0.0143, 0.8703000000000001, 0.00030000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -2.5 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(6) + -2.0 * Z(3) + -2.0 * Z(4) + -2.0 * Z(5) +... | 6 | 9 | 2 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111100"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.05874846667619159) q[0];
rz(1.9938695320304731) q[0];
rx(0.29855314565580754) q[1];
rz(-2.706525495615969) q[1];
rx(0.8586485872377975) q[2];
rz(2.2057165673183015) q[2];
rx(-0.007408008823412165) q[3];
rz(2.6264064151643502) q[3];
rx(-0.16417141447225342) q[4];
rz... | OPENQASM 3.0;
include "stdgates.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": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIZIII",
"IIZIZIIII",
"IIIIZZIII",
"IIZZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1.5,
-1.5,
0.5,
-2.5,
-2.5,
1,
-2.5,
1,
1,
-1,
0.5,
0.5,
0.5,
-2,
-2,
-2,
-2,
0.5,
0.5
] | 0.970667 | [
0.05874846667619159,
0.4230732052355772,
0.2985531456558076,
2.005863484768721,
0.8586485872377975,
0.6349202405234045,
-0.0074080088234121655,
1.0556100883694532,
-0.1641714144722534,
0.40538719110291965,
0.40044468149668,
0.7834637422395953,
-0.27756347602056,
0.5299736123246076,
0.367... | {
"n_parameters": 88,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 186 |
eedfffae46889ceabb09be93decddfde | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {"weight": 4, "source": 2, "target": 3}, {"... | {"states": [121, 109], "expectation_value": -18.089210742783244, "params": [[0.0009000000000000001, 0.024300000000000002, 0.0066, 0.0027], [-0.0134, -0.0422, -0.049100000000000005, -0.0489]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.011023777530652323, 0.01181078246599... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 2.0 * Z(0) + 18.0 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 138.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(4.217220369268761e-08) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(4.217220369268761e-08) q[1];
cx q[2], q[1];
rz(1.2027812523740522e-08) q[2];
rx(1.5707964081955679) q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[0], q[6];
rz(4.21722036... | OPENQASM 3.0;
include "stdgates.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",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
2,
18,
6,
19.5,
14.5,
5,
7.5
] | 0.555556 | [
4.217220369268761e-8,
1.2027812282288794e-8,
1.5707961882202157,
1.570796334854686,
-1.5707962765535362,
1.570796408195568
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 169 |
2b0dcb8de0fd53b65168d5ba3893205a | 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": 6, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 6, "source": 0, "target": 9}, {"capac... | {"states": [497, 501], "expectation_value": -17.285262107819804, "params": null, "bitstrings": ["1000001110", "1000001010"], "total_optimization_steps": 100, "probabilities": [0.11158904643612667, 0.5252151465830857], "optimization_time": 261.9123182296753} | -1.5 * (Z(0) @ Z(6)) + -0.5 * (Z(8) @ Z(6)) + -0.75 * (Z(8) @ Z(0)) + 2.5 * (Z(9) @ Z(0)) + -0.25 * (Z(1) @ Z(8)) + -1.5 * (Z(1) @ Z(9)) + -1.0 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(8)) + -1.5 * (Z(4) @ Z(2))... | 1 | 10 | 1 | {"smallest_eigenvalues": [-24.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.25, "smallest_bitstrings": ["1000001010"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.2784092368891018) q[0];
h q[1];
ry(0.7983254908162736) q[1];
h q[2];
ry(0.7983254908162736) q[2];
h q[3];
ry(0.7983254908162736) q[3];
h q[4];
ry(0.7983254908162736) q[4];
h q[5];
ry(0.9173248581823014) q[5];
h q[6];
ry(-0.2784092368891018) q[6];
h q[7];
... | 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(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... | [
"IIIZIIIIIZ",
"IZIZIIIIII",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"IIIZIIIZII",
"ZIIIIIIZII",
"IIIIIIIZZI",
"IZIIIIZIII",
"IIIIIIZZII",
"IIIZIZIIII",
"IZIIIZIIII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZZIIIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"ZIZIIIIIII"... | [
-1.5,
-0.5,
-0.75,
2.5,
-0.25,
-1.5,
-1,
-0.5,
-1,
-1,
-0.5,
-0.5,
-0.5,
-1.5,
-1.25,
-1.75,
-2,
-1.5,
-1.25,
-0.25,
-1.5,
-0.75,
-1.5,
-2.25,
-0.25,
-2,
0.25,
-0.25,
0.75,
2.25,
0,
-1,
2.5
] | 0.970508 | [
1.5966509816325472,
-0.5568184737782036,
1.6372639168001246,
1.8346497163646027,
-0.8223419976676482,
-1.577050462380182,
-0.35600685000010296,
-0.08537294859240367,
0.011512032254920724,
0.29567335508929515,
0.17326715482583796,
-0.1678818229612798,
0.06511653264524135,
0.0414082428882811... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -24.25,
"target_ratio": 0.97,
"target_value": -23.5225
} | 67 |
598afa5ba5805c1178ca47cc998ec074 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"sour... | {"states": [108, 364], "expectation_value": -4.087737882091793, "params": [0.33390000000000003, 0.33230000000000004, -0.0078000000000000005, -0.008700000000000001, 0.4068, 0.405, 0.40440000000000004, 0.40240000000000004, -0.0034000000000000002, -0.0061, 0.4072, 0.40080000000000005, 0.39940000000000003, 0.3985, 0.1222, ... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(8)) + -0.5 * Z(4) + -0.5 * Z(0) + -1.0 * Z(7) + -0.5 * Z(1) + 0.0 * Z(5) + -0.5 * Z(2) + -1.5 * Z(8) + 0.0 * Z(3) + 0.0 * Z(6) | 14 | 9 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["111000001", "000011011", "110010001", "010010011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.4892114356331553) q[0];
rz(pi/2) q[0];
ry(0.20843927203946372) q[1];
ry(0.43739121738730874) q[2];
ry(0.5156119761924551) q[3];
ry(-0.05638381432452215) q[4];
ry(0.46345733740565237) q[5];
ry(0.4146198061600949) q[6];
ry(0.06626673584070643) q[7];
ry(-0.05638381432... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IZIIIIIIZ",
"IZIIIIIZI",
"IIIZIIIZI",
"IIIIZIZII",
"ZZIIIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIIZIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-0.5,
0,
-0.5,
-1.5,
0,
0
] | 0.97247 | [
0.4892114356331553,
0.20843927203946372,
0.43739121738730874,
0.5156119761924551,
-0.05638381432452215,
0.46345733740565237,
0.4146198061600949,
0.06626673584070643,
-0.024465250600321967,
-0.14973058948095808,
-0.23765847442623017,
0.11459786323578824,
0.4111449632128531,
0.06507393434886... | {
"n_parameters": 98,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 13 |
50803b752054f0512687e537ee7368f9 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [52, 21], "expectation_value": -2.4964491610978103, "params": null, "bitstrings": ["001011", "101010"], "total_optimization_steps": 22, "probabilities": [0.06701277438190029, 0.9297056987717313], "optimization_time": 12.783721446990967} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["001011", "101010", "111000", "110100"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-3.118963683468091) q[0];
ry(-0.017918109517936636) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5232555292397325) q[2];
ry(-0.11982451051349112) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.0455035030484382) q[3];
cx q[2], q[3];
cx q[2], q[0];
ry(-0.07016976767686646) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.4449) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"ZIIIIZ",
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IIZZII",
"ZIIIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-0.5,
-0.5,
-0.5,
0
] | 0.997671 | [
-1.5523952299069044,
-1.4054683132329673,
1.5232555292397325,
-0.0910070060968764,
0.14033953535373292,
-0.02773759371322497,
-0.0009659747401112133
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
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": [4839, 4855], "expectation_value": -0.18749788009842508, "params": [[0.00030000000000000003, -0.0028, -0.004200000000000001, 0.0024000000000000002, -0.0429, 0.007, 0.009600000000000001, 0.0059, 0.0044, 0.0012000000000000001, 0.0086, 0.0025, 0.0085], [0.0034000000000000002, 0.0091, -1.5684, -0.0557, 0.0002, 0... | 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)... | 9 | 13 | 3 | {"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 |
-8071113073813790835 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 4, 6, 8], [8, 1, 3, 7], [1, 5, 7], [3, 4, 6, 7, 8], [1, 3, 4, 5], [4, 5, 6, 7], [2, 3, 4, 5, 6], [0, 1, 7], [2, 4, 5, 7, 8]]} | {"states": [379, 315], "expectation_value": -1.7406801936675798, "params": [1.4802, 0.0346, 1.4534, 0.0091, 1.1695, 0.47690000000000005, 0.7589, 0.0079, 1.0615, -0.37210000000000004, 0.8898, 0.0088, 1.4622000000000002, 0.0224, 1.4096, 0.0041, 1.4542000000000002, -0.0145, 1.2828000000000002, 0.005, 1.48, -0.066200000000... | 0.19999999999999998 * (Z(0) @ Z(1)) + 0.2 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.11666666666666667 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(0)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.13333333333333336 * (Z(6) @ Z(... | 5 | 9 | 1 | {"smallest_eigenvalues": [-2.2166666666666672, -2.2166666666666672], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.133333333333334, "smallest_bitstrings": ["011000100", "100001001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.054643963606814) q[0];
rz(-0.734799390187646) q[0];
rx(0.6814662649587646) q[1];
rz(1.2910379037906141) q[1];
rx(0.2732544662132744) q[2];
rz(-0.8609207053481622) q[2];
rx(1.8126940374079201) q[3];
rz(-0.5087491275768312) q[3];
rx(2.2052586118658297) q[4];
rz(-0.19... | OPENQASM 3.0;
include "stdgates.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",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZIZIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"... | [
0.19999999999999998,
0.2,
0.03333333333333333,
0.11666666666666667,
0.03333333333333333,
0.21666666666666667,
0.03333333333333333,
0.03333333333333333,
0.13333333333333336,
0.21666666666666667,
0.11666666666666667,
0.03333333333333333,
0.16666666666666669,
0.13333333333333336,
0.08333333... | 0.970554 | [
2.054643963606814,
-0.7841466493892487,
0.6814662649587645,
1.080876398947355,
0.2732544662132745,
-0.5825958901444142,
1.8126940374079197,
-0.5073800012947373,
2.2052586118658297,
-0.19315910044343387,
1.4261343544552982,
-0.3852428575446524,
0.33849387882314486,
-0.6490531905063659,
2.... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -2.2166666666666672,
"target_ratio": 0.97,
"target_value": -2.1501666666666672
} | 61 |
3f6cd58ea9824e6c849fdf6cebbc868c | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 2, "target": 8}, {"source": 3, "target": 6}, {"source": 3, "target": 8}, {"sour... | {"states": [63, 255], "expectation_value": -12.206286178678097, "params": null, "bitstrings": ["11000000", "00000000"], "total_optimization_steps": 100, "probabilities": [0.10750184053339165, 0.32235008390372116], "optimization_time": 216.96114373207092} | -1.0 * (Z(0) @ Z(1)) + 1.5 * (Z(4) @ Z(7)) + -2.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + -3.0 * (Z(5) @ Z(7)) + -3.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -3.0 * (Z(6) @ Z(7)) + -3.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.0, -17.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.0, "smallest_bitstrings": ["00000000", "00111111"], "largest_eigenvalue": 30.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(0.7950811449865762) q[1];
cx q[0], q[1];
ry(-0.7950811449865762) q[1];
cx q[0], q[1];
ry(0.622617961915642) q[0];
cx q[1], q[0];
ry(-0.622617961915642) q[0];
cx q[1], q[0];
h q[2];
ry(-0.03378518724637784) q[2];
h q[3];
h q[4];
h q[5];
ry(-0.033785187... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIIZZ",
"ZIIZIIII",
"ZIIIIZII",
"IIIZIZII",
"ZIZIIIII",
"IIZZIIII",
"IIZIIZII",
"IIIZZIII",
"IIZIZIII",
"ZZIIIIII",
"IZIZIIII",
"IZIIIZII",
"IZZIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-1,
1.5,
-2.5,
0.5,
-3,
-3.5,
-2,
-2.5,
0.5,
-3,
-3,
0.5,
1,
0.5,
0.5,
0.5,
-2.5,
-2.5,
1,
1.5,
1,
1.5
] | 0.970005 | [
-0.06757037449275569,
0.07174055792614034,
-0.24359188982586918,
0.23432854409594972,
-0.09616519828675556,
1.142028590648001,
0.06236222277291054,
1.5901622899731525,
1.245235923831284,
-0.11539859420224235,
0.014286359750759654,
0.08620956846417838,
-0.04493181374041302,
-0.5358851665554... | {
"n_parameters": 48,
"n_qubits": 8,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 265 |
1976951548555572864 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2], [1, 3], [0, 2, 3], [4, 5], [0, 2, 5], [3, 4], [2, 4]]} | {"states": [25, 13], "expectation_value": -2.729425544784543, "params": null, "bitstrings": ["100110", "110010"], "total_optimization_steps": 36, "probabilities": [0.031802493747689856, 0.8261202129528425], "optimization_time": 37.21085786819458} | 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.3333333333333335 * ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010"], "largest_eigenvalue": 4.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.3670514415247106) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.07708818256327428) q[1];
h q[2];
ry(1.4706462425619748) q[2];
h q[3];
h q[4];
ry(-0.07708818256327428) q[4];
cx q[3], q[4];
ry(0.07708818256327428) q[4];
cx q[3], q[4];
cx q[3], q[1];
ry(0.07708818256327428) 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(1.2292) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIZZI",
"IIZZII",
"IIZIZI",
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZZIII",
"ZIIZII",
"ZIIIIZ",
"ZZIIII",
"IIIZII",
"IIIIZI",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333335,
0,
0.16666666666666674,
0.3333333333333333,
0,
0.16666666666666663
] | 0.97343 | [
1.1792642159953557,
-0.15417636512654856,
1.4706462425619748,
-0.57330578017097,
0.5912917763734167,
-1.0711155068668459,
0.9028578955469626,
-0.602144316824511,
0.6907408664266727,
-0.5945047326953977,
0.000057766779036572125,
-0.38233739862397187,
0.7167236203718801,
-0.766018202531083,
... | {
"n_parameters": 28,
"n_qubits": 6,
"optimal_eigenvalue": -3.166666666666667,
"target_ratio": 0.97,
"target_value": -3.0716666666666668
} | 16 |
-3169016904147589448 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 5], [0, 5], [4, 5], [1, 7], [8, 7], [1, 2], [2, 5], [6, 7], [1, 5], [5, 7], [0, 3], [8, 3], [3, 7], [2, 6]]} | {"states": [172, 339], "expectation_value": -0.1740108679917033, "params": [[0.0787], [-0.0816]], "bitstrings": ["101010011", "010101100"], "total_optimization_steps": 10, "probabilities": [0.0024841195738593033, 0.0024841195738593033], "optimization_time": 0.851464033126831} | 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.0 * Z(5) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["010101100", "101010011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.785779301284003) q[0];
h q[1];
ry(-0.6916705431804738) q[1];
h q[2];
ry(1.5068437816970484) q[2];
h q[3];
ry(0.05140004550481203) q[3];
h q[4];
ry(1.4852871427828163) q[4];
h q[5];
ry(0.05140004550481203) q[5];
h q[6];
ry(-0.8915674644106802) q[6];
h q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[8];
rz(x0) q[8];
cx q[5], q[8];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];... | null | {"circuits": [], "gradients": []} | [
"ZIIZIIIII",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZIIIZI",
"IZIZIIIII",
"ZZIIIIIII",
"IZIIIIIZI",
"IIIZIIZII",
"IIIIIIZZI",
"IZZIIIIII",
"IIZIIIZII",
"ZIIIIZIII",
"IIIIIZIIZ",
"IZIIIZIII",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.975906 | [
0.10280009100962406,
1.571558602568006,
-0.02812334916191045,
-1.7831349288213605,
1.5068437816970484,
-1.3833410863609477,
1.4852871427828163,
0.9519970658230206,
1.7902988684097214,
-0.5676056010286096,
1.243740732865389,
-0.21869162751920024,
0.12146151066842523,
-0.06211269985696226,
... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 58 |
edc3bac605c0e8fb4f027513dd92e8fb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [20, 6], "expectation_value": -3.473756712958944, "params": null, "bitstrings": ["01011", "11001"], "total_optimization_steps": 15, "probabilities": [0.07348052951562349, 0.9007122774688736], "optimization_time": 9.418607711791992} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011", "11001"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.16175234084033957) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.16175234084033957) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.16175234084033957) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.16175234084033957) q[4];
c... | 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IIZZI",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-0.5
] | 0.972373 | [
-0.16175234084033957,
-1.87532801107341,
-0.05801357308838576,
0.10605362145925226,
-1.1416650171566816,
0.4399114001229122,
1.0360662674525876,
-1.009520344317765,
0.7718866700779633,
-0.5658460915133537,
0.2880179831430165,
-2.7932233839467817,
-0.24448320489468112,
-0.7290022026259505,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 239 |
b4764399bb7694871d7cf0cc7a871143 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "so... | {"states": [9, 13], "expectation_value": -2.5318777020006413, "params": [[0.07150000000000001, 0.07150000000000001, 0.0517], [-0.0758, -0.0784, -0.060000000000000005]], "bitstrings": ["10110", "10010"], "total_optimization_steps": 10, "probabilities": [0.05990366916756355, 0.08087065214061903], "optimization_time": 2.5... | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -3.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(4) + 2.75 * Z(1) + 0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10010"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.0026957957401774098) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.10581518505780388) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.11540216108184381) q[2];
cx q[3], q[2];
rz(0.4333108148961853) q[3];
rx(0.4323375606494058) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZIIIZ",
"IZIZI",
"ZIIZI",
"IZZII",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
-1,
1.25,
-0.75,
-0.75,
-1.25,
-0.5,
-1.25,
-3,
-0.25,
0,
2.75,
0.5
] | 0.973046 | [
-0.0026957957401774098,
0.18039228660587642,
-0.10581518505780388,
0.11540216108184381,
0.21701496465636422,
0.4333108148961855,
0.3673365099505475,
-0.4099008906290893,
-0.6505096062879676,
-0.7080263566489183,
0.43233756064940576,
-0.1223249177971326,
-0.169718764529791,
-0.0048142708149... | {
"n_parameters": 41,
"n_qubits": 5,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 22 |
aafba232bddbab68741369c28fd60f9f | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}]} | {"states": [23, 11], "expectation_value": -3.5163821781233495, "params": [[-0.0528, -0.0582, -0.0572, -0.0309], [0.060500000000000005, 0.062400000000000004, 0.0683, 0.062]], "bitstrings": ["101000", "110100"], "total_optimization_steps": 10, "probabilities": [0.03266554948369815, 0.038552489814773855], "optimization_ti... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.0... | 1 | 6 | 4 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["110100"], "largest_eigenvalue": 25.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.6059711361663426) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.002835582251174708) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.6059711361663426) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.01656... | OPENQASM 3.0;
include "stdgates.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": 3} | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"ZZIIII",
"ZIIIIZ",
"IZIIZI",
"IIIIZZ",
"ZIIIZI",
"IZIZII",
"IIIZIZ",
"ZIIZII",
"IIIZZI",
"IZZIII",
"IIZIIZ",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.5,
2,
1,
0.5,
0.25,
1,
-0.5,
-0.5,
-1,
-0.5,
-1,
-1,
-2,
-1,
1,
2.5,
0.5,
5,
0.5,
-1,
-2
] | 0.927765 | [
-0.6059711361663426,
0.002835582251174708,
-0.005892897267408092,
1.9673946829852578,
-0.016569426499993246,
0.0007364663076169241,
-1.7704792450087574,
-1.8455644619428733,
0.2451053747201248,
-1.3001258169311252,
-1.066059710326319,
0.0004593878512842986,
-0.01598779461431634,
1.89697250... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 500 |
ec86dd03f1bc9f7a5980c14449900d15 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [9, 1], "expectation_value": -0.2002503952694436, "params": [[-0.0539], [0.069]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.004590441112461031, 0.00462014661454049], "optimization_time": 2.1526803970336914} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.75, "smallest_bitstrings": ["11111110", "11111100", "11110110", "11110100"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.16999686101045597) q[0];
ry(-0.7461488452616151) q[1];
rz(-pi) q[1];
ry(-0.08098995602078439) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.8918758604400108) q[3];
h q[4];
h q[5];
ry(-0.6909274773558883) q[5];
h q[6];
ry(1.6029270172358627) q[6];
h q[7];
cx q[7], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3]... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIIIZZII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"ZIIIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
1.75,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
0.25,
0.75,
0.75,
0.25
] | 0.970267 | [
-0.33999372202091194,
1.3129654467744951,
1.6029270172358627,
-0.6590546223712845,
0.18968510787131154,
-0.5503415377524958,
-1.7837517208800215,
-1.3818549547117767,
-1.0868611186790245,
-0.44875350089838817,
-0.10942090189840499,
0.17912767502386534,
-0.8058905041901756,
-0.0868358831952... | {
"n_parameters": 19,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 24 |
b2309033b6624415ccab4ec6991f5bce | 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": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [25, 6], "expectation_value": -1.1101346512389556, "params": [[0.0649, 0.0688], [-0.0614, -0.0685]], "bitstrings": ["1100110", "1111001"], "total_optimization_steps": 10, "probabilities": [0.010888358073040925, 0.011300378400585068], "optimization_time": 4.134987115859985} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.5 * Z(2) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011101", "1100111", "1111001", "1110110", "0011111", "1001111", "1011110"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rx(1.8077038032399073) q[0];
rz(-0.012604662463587601) q[0];
rx(1.7113188875234084) q[1];
rz(0.062477914972632664) q[1];
rx(1.5485655214217333) q[2];
rz(0.4598853806341343) q[2];
rx(-0.10332820676206783) q[3];
rz(1.206498792346732) q[3];
rx(1.404672382128714) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIZIZI",
"IIZIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-1.5,
-2,
-1.5,
-1.5,
-0.5
] | 0.975787 | [
1.807703803239907,
-0.04200960570267162,
1.7113188875234084,
0.12303269481834897,
1.5485655214217335,
0.14880784740208253,
-0.10332820676206782,
0.7546914020822503,
1.4046723821287137,
0.298593828578469,
-0.017053380378249793,
1.0874544662564471,
1.8788160561178926,
0.5298602686487988,
0... | {
"n_parameters": 79,
"n_qubits": 14,
"optimal_eigenvalue": -4.125000000000004,
"target_ratio": 0.97,
"target_value": -4.001250000000004
} | 14 |
cde6b48ed870286595c1455af7aff8bd | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [2, 0], "expectation_value": -0.12201387845482659, "params": [[-0.041600000000000005, -0.0403, -0.038700000000000005, -0.0103], [0.0524, 0.0456, 0.0465, 0.0223]], "bitstrings": ["101", "111"], "total_optimization_steps": 10, "probabilities": [0.12904769245841566, 0.13589130276000277], "optimization_time": 2.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + -0.75 * Z(0) + -0.75 * Z(1) + -0.75 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-1.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["111"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IZZ",
"ZIZ",
"ZZI",
"ZZZ",
"IIZ",
"IZI",
"ZII"
] | [
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.75,
-0.75
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
8ed7cc91faf8f25841f02066a68a347e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4... | {"states": [29, 63], "expectation_value": -6.499833697733492, "params": [[0.0025, -0.0023, 1.1129, 1.1137000000000001, -0.2084, -0.0023, 0.9916], [1.5692000000000002, 1.1024, 0.0029000000000000002, -1.4112, -0.0028, 0.20350000000000001, -0.0027], [0.6032000000000001, 0.37520000000000003, -0.5734, 1.5731000000000002, -0... | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.0 * Z(2) ... | 9 | 7 | 4 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.2166224269295487e-08) q[0];
h q[0];
rx(-4.703941950630459e-08) q[1];
h q[1];
rx(1.0471278675330475) q[2];
h q[2];
rx(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIZIIZI",
"IIZIZII",
"ZIZIIII",
"IIIZZII",
"ZIIZIII",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IIIZIII",
"IZIIIII"
] | [
-1,
-0.75,
-1.5,
-1,
2.75,
-1,
-1.5,
-1,
-0.75,
-1,
-1.5,
-0.75,
-1.25,
-0.25,
0,
-1,
1.5,
0.25,
0.75
] | 0.65 | [
1.2166224269295487e-8,
-4.703941950630459e-8,
1.0471278675330475,
1.2694902564808772,
-0.4424797841444536,
1.333973771782864,
1.4117920327011293,
0.8124159459374324,
2.2415472708782914e-8,
-1.494340033644694,
1.5729220330218228e-7,
0.44247981073379616,
4.2241866926873623e-8,
0.381873338045... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 446 |
fc603aae74a127a53d7b15155a35177e | community_detection | 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": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21866, 21930], "expectation_value": -1.71108820259548, "params": null, "bitstrings": ["1010101010010101", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.12364957341978873, 0.2671346009908363], "optimization_time": 913.2621641159058} | 0.25 * (Z(0) @ Z(1)) + 0.0002314814814814815 * (Z(2) @ Z(0)) + 0.0002314814814814815 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0012345679012345679 * (Z(4) @ Z(0)) + -0.0009259259259259261 * (Z(4) @ Z(2)) + -0.0012345679012345679 * (Z(5) @ Z(1)) + -0.0009259259259259261 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 7.71604... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0217592592592073], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021759259259199, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.0177469135802313} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.12600111597027835) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.12600111597027835) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.12600111597027835) q[1];
cx q[0], q[1];
rz(-0.7094581060834471) q[0];
rx(0.06131908867994372) q[0];
h q... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5941) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.0002314814814814815,
0.0002314814814814815,
0.25,
-0.0012345679012345679,
-0.0009259259259259261,
-0.0012345679012345679,
-0.0009259259259259261,
0.25,
0.00007716049382716049,
-0.0011574074074074073,
0.00015432098765432098,
0.00007716049382716049,
-0.0011574074074074073,
0.000154... | 0.974056 | [
-0.12600111597027835,
1.3067247501817936,
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1.2847492232068922,
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1.8244581211638342,
1.4514479566830987,
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0.06131908867994373,
0.0752940319779882,
-0.4954143064920319,
-0.13474376247105507,
0.052450775178995906... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -76,
"target_ratio": 0.97,
"target_value": -73.72
} | 61 |
cb02c01f35b3eb9d4161bd850dfaa72c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [0, 14], "expectation_value": -2.6638519873577824, "params": [0.3879, 0.0425, 0.0884, -0.2049, 0.10210000000000001, -0.2088, 0.3567, 0.1389, 0.5075000000000001, -0.0025, 0.4983, 0.0011, 0.49770000000000003, 0.0002, 0.042800000000000005, -0.2419, 0.38680000000000003, 0.031400000000000004, 0.084, -0.2114, 0.10... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + -1.0 * Z(2) + -1.0 * Z(0) + -0.5 * Z(6) + -1.5 * Z(7) + -1.0 * Z(1) + -0.5 * Z(3) + -0.5 * Z(5) + 0.... | 4 | 8 | 3 | {"smallest_eigenvalues": [-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": 11, "first_excited_energy": -3.0, "smallest_bitstrings": ["11000111", "01110011", "11110001", "10010111", "01100111", "00110111", "11010011", "11101100", "10110101", "11100101", "11111000"], "l... | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(0.7667126344586774) q[0];
rz(0.17282485373528772) q[0];
ry(0.31680410096930056) q[1];
ry(0.2551596013674417) q[2];
ry(-0.014659159376781954) q[3];
ry(0.7629214538836765) q[4];
ry(0.6645854478406821) q[5];
ry(-0.13916019141086652) q[6];
ry(0.5384647908744213) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIZIZI",
"IIZIIIZI",
"IIZIZIII",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1.5,
-1,
-0.5,
-0.5,
0
] | 0.976683 | [
0.7667126344586774,
0.31680410096930056,
0.2551596013674417,
-0.014659159376781954,
0.7629214538836765,
0.6645854478406821,
-0.13916019141086652,
0.5384647908744213,
0.01597727264517554,
0.48640685772701175,
-0.17182108252361358,
0.10503909069854954,
0.17599807231459802,
-0.126727055493575... | {
"n_parameters": 243,
"n_qubits": 16,
"optimal_eigenvalue": -2.0212499999999305,
"target_ratio": 0.97,
"target_value": -1.9606124999999326
} | 21 |
185f4b48e29d187effa57245dadce54c | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5},... | {"states": [2023, 2047], "expectation_value": -16.49426670037188, "params": null, "bitstrings": ["00000011000", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.10705200097568555, 0.30587522494170105], "optimization_time": 263.2472789287567} | -3.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 1.0 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -3.0 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -2.5... | 1 | 11 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 29.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(0.6035448935952208) q[0];
h q[1];
ry(0.7204922431909038) q[1];
h q[2];
ry(0.6035448935952208) q[2];
h q[3];
ry(0.8034463689811735) q[3];
h q[4];
ry(0.6035448935952208) q[4];
h q[5];
cx q[5], q[0];
ry(-0.6035448935952208) q[0];
cx q[5], q[0];
cx q[0], q[2];
r... | null | {"node": 11} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZIZII",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZIIZII",
"IIIIIZZIIII",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIII... | [
-3,
1,
-3,
-2,
-2.5,
0.5,
1,
-3,
-2,
0.5,
-3,
1.5,
-2.5,
0.5,
-2.5,
-1,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
1
] | 0.907202 | [
1.2070897871904416,
0.5076369418804848,
1.606892737962347,
1.4409844863818075,
-0.07643086470329546,
0.2317464538555083,
2.096436006691972,
0.0655629439779867,
-1.5656231291530027,
-0.024723023719732503,
0.024233381991111354,
-0.0710960470649171,
-0.030693417815898773,
1.155284352086507,
... | {
"n_parameters": 65,
"n_qubits": 11,
"optimal_eigenvalue": -27.5,
"target_ratio": 0.97,
"target_value": -26.675
} | 500 |
23529db270bae4def52806aeae1d449e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [1023, 1019], "expectation_value": -14.023302497054978, "params": [[[-0.0026000000000000003, 3.1597], [0.0031000000000000003, -0.0028], [-0.0033, 0.0031000000000000003], [0.0022, 0.0028], [-0.003, 0.0028], [0.0019, 0.0023], [0.0023, 0.0021000000000000003], [-1.6194000000000002, 0.0021000000000000003], [0.002... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2) ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000000100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.098453448754568) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(1.098453448754568) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2207382026687572) q[1];
rx(0.9638634016974083) q[1];
rz(1.098453448754568) q[3];
cx q[0], q[3];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII",
"IIZIIIIIII"
] | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.542896 | [
1.098453448754568,
0.22073820266875738,
1.5707963046385156,
0.9638634016974083
] | {
"n_parameters": 4,
"n_qubits": 10,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 124 |
4178481052187267646 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 7], [0, 8], [1, 7], [8, 3], [0, 4], [8, 5], [1, 6]]} | {"states": [209, 23], "expectation_value": -0.08640369519734978, "params": [[0.08], [-0.08510000000000001]], "bitstrings": ["100101110", "111101000"], "total_optimization_steps": 10, "probabilities": [0.002309638351921583, 0.0023098294046197962], "optimization_time": 0.6335523128509521} | 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * Z(2) + 0.16666666666666674 * Z(8) + 0.16666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.3333333333333335, -3.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.3333333333333326, "smallest_bitstrings": ["111101000", "100101110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[8];
rz(0.28444780661741464) q[8];
cx q[2], q[8];
cx q[2], q[7];
rz(0.28444780661741464) q[7];
cx q[2], q[7];
rz(0.28444780661741476) q[2];
rx(-0.7913669229836261) q[2];
cx q[8], q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[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];
rz(x0) ... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZII",
"IZIIIIZII",
"ZZIIIIIII",
"ZIIIIIIIZ",
"IZIIIIIZI",
"ZIIIIZIII",
"IIIIZIIIZ",
"ZIIZIIIII",
"IIZIIIIZI",
"IIIIIIZII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666674,
0.16666666666666663,
0,
0,
0,
0,
0,
0
] | 0.531833 | [
0.28444780661741464,
0.9218315702135251,
-0.05381389299403634,
-0.7913669229836263
] | {
"n_parameters": 4,
"n_qubits": 9,
"optimal_eigenvalue": -3.3333333333333335,
"target_ratio": 0.97,
"target_value": -3.2333333333333334
} | 115 |
a240ae5f21b69aa9f6372f927de5c9ae | 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": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"sour... | {"states": [126, 94], "expectation_value": -2.928298415808272, "params": [0.0499, 0.048400000000000006, 0.17700000000000002, 0.18180000000000002, 0.3966, 0.3975, 0.3874, 0.39380000000000004, 0.40180000000000005, 0.40090000000000003, 0.40640000000000004, 0.4026, 0.39840000000000003, 0.3992, 0.40190000000000003, 0.409500... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(2) + -1.0 * Z(0) + -0.5 * Z(5) + 0.0 * Z(7) + -0.5 * Z(1) + -0.5 * Z(4) + -1.5 * Z(8) + -0.... | 13 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["110000101", "110100001"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.18202571799482015) q[0];
rz(0.034850738452734946) q[0];
ry(-0.3092094499871141) q[1];
ry(0.5428020943357529) q[2];
ry(0.9612105555582547) q[3];
ry(0.8345849893754951) q[4];
ry(0.47675650925439705) q[5];
ry(-0.11151966569886206) q[6];
ry(0.55940079634978) 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": []} | [
"IIIIIIZIZ",
"IIIZIIIIZ",
"IZIIIIIIZ",
"IIIIIIZZI",
"IIIIZIIZI",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIZIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IIIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
0,
-0.5,
-0.5,
-1.5,
-0.5,
0
] | 0.974546 | [
0.18202571799482015,
-0.3092094499871141,
0.5428020943357529,
0.9612105555582547,
0.8345849893754951,
0.47675650925439705,
-0.11151966569886206,
0.55940079634978,
0.13515488496077804,
0.06970147690546989,
-0.1213854237913764,
0.2775572437349553,
-0.16317244927077376,
-0.20359084060034668,
... | {
"n_parameters": 66,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 18 |
87c3ced1ef7832360d99a2d1828a4d93 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [10, 12], "expectation_value": -4.474105370885989, "params": null, "bitstrings": ["110101", "110011"], "total_optimization_steps": 15, "probabilities": [0.07397893941132597, 0.9005734987526041], "optimization_time": 12.12476921081543} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["111010", "011011", "110101", "110011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.4782477501473996) q[0];
h q[1];
ry(-1.5459535955314039) q[1];
h q[2];
ry(1.4800481485142103) q[2];
h q[3];
h q[4];
ry(-0.5454937758325291) q[4];
cx q[3], q[4];
ry(0.5454937758325291) q[4];
cx q[3], q[4];
ry(1.138506081996272) q[3];
cx q[2], q[3];
ry(-0.287... | 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
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,
-1.5,
-1.5,
-0.5
] | 0.996543 | [
-1.5459535955314039,
-1.4782477501473996,
-1.4186720615587136,
1.4800481485142103,
-1.0909875516650582,
0.8505079669655212,
-0.6834200403916963,
0.5759962300615015,
-0.4282561884336213,
-0.15321027442284385,
0.11168667375280134,
-0.09145484919133856,
-0.015716916398529537
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
af20b42365f0606cbdbd2c457736b939 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [70, 102], "expectation_value": -3.5442980170354965, "params": [0.3881, -0.0071, 0.3885, -0.006900000000000001, 0.40490000000000004, 0.003, 0.40130000000000005, 0.0021000000000000003, 0.39430000000000004, -0.0063, 0.39530000000000004, -0.006500000000000001, -0.0037, 0.2107, 0.0014, 0.2086, 0.0535000000000000... | 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(1) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(1) + -1.5 * Z(... | 7 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10011001", "00111001"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.08823412046835549) q[0];
rz(-0.11604469423972708) q[0];
rx(0.7590534560962198) q[1];
rz(-0.20705953512343173) q[1];
cx q[1], q[0];
rz(0.20188320794871434) q[0];
cx q[1], q[0];
rz(1.6633369076578237) q[0];
ry(0.1161490946285445) q[0];
rz(-1.7033137508416716) q[0];
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": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIIZIZI",
"ZIIIIZII",
"ZIIIZIII",
"IIZZIIII",
"ZIZIIIII",
"IZIZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
0,
-1.5,
-0.5,
-0.5
] | 0.970863 | [
0.08823412046835549,
0.08583851370898747,
0.7590534560962198,
-0.20705953512343173,
0.9633656936047197,
-0.002832102624956593,
0.00328230668620977,
-0.07105431833088689,
0.1917054375339114,
0.3620847192527602,
0.9352176230564336,
0.23230883891289583,
0.556777087492105,
0.2021894408078915,
... | {
"n_parameters": 72,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 18 |
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": 155.45229625701904} | 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 | 4 | {"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 |
1e893dfbb1c990e67f8298b0e1719b46 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [383, 127], "expectation_value": -18.084008708008596, "params": [0.0036000000000000003, 1.2963, 0.0022, 0.006200000000000001, -0.049100000000000005, 1.3586, 1.4387, 0.0068000000000000005, -0.0028, 1.5830000000000002, 0.0028, 0.00030000000000000003, 1.9131, 0.9021, -0.0889, 0.0053, 1.723, 0.1033, -0.2833, 0.0... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.5 * Z(2) + -1.0 * Z(0) + 1.0 * Z(1) + 0.5 * ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["1110000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.000700043488344783) q[0];
rz(2.6424393594044204) q[0];
rx(0.06170603224990204) q[1];
rz(-2.7619123611543994) q[1];
rx(0.010082166198526745) q[2];
rz(-2.8261954628031436) q[2];
rx(2.243845368499121) q[3];
rz(1.804808577091154) q[3];
rx(2.309489529400012) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIZIZIIII",
"IIIZIIZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZZIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IZIIIIIIII"... | [
-2,
-2,
0.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972693 | [
-0.000700043488344783,
1.0716430326095232,
0.06170603224990204,
1.95047661923029,
0.010082166198526744,
1.8861935175815459,
2.243845368499121,
0.23401225029625738,
2.309489529400012,
-0.017343771745493338,
-2.318871827088357,
0.06303312676473878,
0.45057194225439684,
-0.1791331219639023,
... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 101 |
6317467715134932870 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4, 6], [2, 4, 6], [0, 4, 6], [0, 1, 4, 5], [0, 2, 3, 4, 5]]} | {"states": [126, 124], "expectation_value": -0.9977360989137234, "params": [1.2995, -0.0112, 1.0094, 0.0077, 1.2892000000000001, -0.0078000000000000005, 1.2797, 0.008700000000000001, 1.2875, -0.006, 1.2406000000000001, 0.004, 1.2946, -0.0073, 1.2873, 0.0, 1.2816, -0.0037, 1.2639, 0.009300000000000001, 1.0861, 0.0223, 1... | 0.08333333333333333 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.41666666666666663 * (Z(6) @ Z(4)) + 0.05 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z... | 6 | 7 | 1 | {"smallest_eigenvalues": [-1.3666666666666665, -1.3666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.2833333333333334, "smallest_bitstrings": ["0000100", "0000011"], "largest_eigenvalue": 4.999999999999999} | 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(-0.07233455166438953) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(-0.016658062882314625) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-0.030231841781025635) q[4];
cx q[1], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(-0.07233455... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIZIZI",
"IIZZIII",
"IIZIIZI",
"ZIIZIII",
"ZIIIIZI",
"ZIZIIII",
"IIIZZII",
"IIZIZII",
"ZIIIZII",
"IIIZIIZ",
"IIIIIZZ",
"IIZIIIZ",
"ZIIIIIZ",
"IIIIZIZ",
"IZIZIII",
"IZIIIZI",
"IZZIIII",
"IZIIZII",
"IZIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"III... | [
0.08333333333333333,
0.13333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.41666666666666663,
0.05,
0.21666666666666667,
0.16666666666666666,
0.05,
0.08333333333333333,
0.3,
0.16666666666666666,
0.05,
0.05,
0.08333333333333333,
0.13333333333333333,
0... | 0.976722 | [
-0.07233455166438953,
-0.016658062882314625,
-0.030231841781025635,
-0.09652191601048916,
-0.03023851586104679,
-0.022817915643592146,
-0.13363421312979792,
-1.225580768153649,
-1.6055341408979535,
1.6950767262984596,
-1.6088203150548623,
-1.4547966461055613,
-1.2991619413314293,
1.5326588... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -1.3666666666666665,
"target_ratio": 0.97,
"target_value": -1.3256666666666665
} | 60 |
0d4975981166b2874d2e3fb8df49ba97 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [246, 214], "expectation_value": -16.50249679819947, "params": [[0.0425, -0.0307, -0.0558], [-0.060700000000000004, -0.0022, 0.0669]], "bitstrings": ["100001001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.006266454161849161, 0.009335535718449072], "optimization_time": 5.24370455741882... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 14.0 * Z(1) + 0.5 * Z(0) + 18.5 * Z(4) + 13.5 * Z(2) + 7... | 1 | 9 | 3 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.162757405416695) q[0];
ry(-2.0563557565526267) q[1];
rz(-pi) q[1];
h q[2];
ry(64.29142043296271) q[2];
cx q[2], q[1];
ry(0.09694622257236636) q[1];
cx q[2], q[1];
ry(9.39298353706952) q[2];
cx q[1], q[2];
ry(-9.39298353706952) q[2];
cx q[1], q[2];
ry(0.173... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14,
0.5,
18.5,
13.5,
7.5,
5,
7.5,
2.5,
7
] | 0.970603 | [
0.0532888134221188,
63.41435872412596,
64.29142043296271,
1.8613625272880303,
-0.19389244514473272,
18.78596707413904,
1.3280109631111439,
0.34751548818583144,
-0.22022091549443135,
-3.3690305503862925,
-0.10375331964482451,
-0.007905693228739755,
-0.2950197673207729,
0.8827595868957637,
... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -81,
"target_ratio": 0.97,
"target_value": -78.57
} | 113 |
ff3da4502ef8840845e529be8709b97a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [0, 15], "expectation_value": -21.966511081024276, "params": [0.0033, 1.8052000000000001, -0.0025, 0.0095, 0.002, 2.8047, 0.005, 0.0037, -0.0029000000000000002, 2.1913, 0.004, 0.003, -0.0019, 2.5093, -0.0014, 0.0008, 0.0024000000000000002, 2.2041, -0.0038, 0.006900000000000001, -0.0034000000000000002, 2.6033... | -3.0 * (Z(0) @ Z(4)) + -3.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + 1.0 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + -3.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + -2.0 * (Z(2) @ Z(1)) + -3.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + -1.5 *... | 6 | 10 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["1111110000"], "largest_eigenvalue": 26.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.0639080370156138) q[0];
rz(-2.8061021907605994) q[0];
rx(0.15925114932531845) q[1];
rz(-1.4270094448848862) q[1];
rx(0.04283483031170874) q[2];
rz(-2.9860862549478906) q[2];
rx(-0.01517990471862736) q[3];
rz(-2.055811336527249) q[3];
rx(-0.06649528894296824) 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[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIZ",
"IIIIZZIIII",
"IIIIZIIIIZ",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIIIIZIZII",
"IIIIIIIZIZ",
"IIIIZIIZII",
"IIIIIIIZZI",
"IIIIIZZIII",
"IIIIIIZIIZ",
"IIIIZIZIII",
"IIIIIIZIZI",
"IIIIIIZZII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIZIIII"... | [
-3,
-3,
-2,
1,
0.5,
-3.5,
0.5,
0.5,
-2,
-3,
0.5,
1,
0.5,
0.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-3,
1.5,
-2.5,
-2.5,
1.5,
-2,
0.5,
0.5,
0.5,
0.5
] | 0.970532 | [
-0.06390803701561383,
1.9062867896240903,
0.15925114932531848,
3.2853795354998034,
0.04283483031170874,
1.7263027254367993,
-0.01517990471862736,
2.6565776438574407,
-0.06649528894296826,
1.854804988629479,
-0.06941891294944233,
2.126912023104961,
0.012402801606084654,
2.1320380893022906,
... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 118 |
-9199730976855688020 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 3], [2, 4], [0, 1], [0, 7], [8, 1], [1, 4], [1, 3], [1, 10], [8, 4], [5, 7], [9, 4], [1, 7], [10, 5], [6, 7], [10, 7], [0, 5], [8, 0], [8, 2], [8, 3], [8, 5], [3, 7], [0, 6], [9, 10], [9, 6], [0, 9], [1, 6], [5, 6], [8, 9], [1, 2], [2, 6], [8, 6], [8, 7]... | {"states": [1237, 1109], "expectation_value": -0.10781569292801994, "params": [1.6774, 0.003, 1.4433, 0.0027, 1.4609, 0.0081, 1.5015, 0.0039000000000000003, 1.6986, 0.0034000000000000002, 1.4447, 0.0037, 1.7041000000000002, 0.0014, 1.4788000000000001, 0.0047, 1.6603, 0.005200000000000001, 1.443, 0.007200000000000001, 1... | 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(10)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(10)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(... | 16 | 11 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["10001010101", "01100101010", "01110101010", "10011010101"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(3.089365758885234) q[0];
rz(0.5088340506494125) q[0];
rx(0.05261640267973057) q[1];
rz(-0.3201224755750714) q[1];
cx q[1], q[0];
rz(-0.4258581049897094) q[0];
cx q[1], q[0];
rz(-1.0386233941291754) q[1];
rx(0.058895589551918204) q[2];
rz(-1.695728600012922) q[2];
rx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZIII",
"IIIIIIZIZII",
"IIIIIIIZIZI",
"ZIIIIIIIIZI",
"IIIIIIZIIZI",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIZIIIZIII",
"ZIIZIIIIIII",
"IIIZIIZIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIZIIIIZIII",
"IIZIIIZIIII",
"IIZIIIIIZII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZZIIIIIII",
"ZIIIIZIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.97479 | [
3.089365758885234,
0.08297594565970326,
0.05261640267973057,
-0.3201224755750714,
0.058895589551918204,
-1.5447114007154816,
1.0621847937940172,
-1.8613983739631754,
3.1931436908546367,
-1.0763233899215328,
0.18449698050613306,
-0.28762295489598,
3.076893634349644,
0.020630356642423575,
... | {
"n_parameters": 32,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 46 |
-1883348412401051560 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2], [5, 6], [4, 5, 7], [2, 3], [0, 4], [1, 3], [0, 2, 7]]} | {"states": [197, 213], "expectation_value": -2.0581651659596387, "params": null, "bitstrings": ["00111010", "00101010"], "total_optimization_steps": 54, "probabilities": [0.37288562501601097, 0.3942565701988696], "optimization_time": 71.59301495552063} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.833333333333334, "smallest_bitstrings": ["00101010", "10010100", "11010100", "00111010", "01101010", "1100010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(1.1289804725540924) q[1];
h q[2];
h q[3];
ry(-0.24137298263943857) q[3];
cx q[2], q[3];
ry(0.24137298263943857) q[3];
cx q[2], q[3];
ry(-0.4353424295141564) q[2];
cx q[1], q[2];
ry(0.4353424295141564) q[2];
cx q[1], q[2];
ry(0.26319588990701415) q[1];... | 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(1.2292) 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] = measure q[... | [
"IIIIIZZI",
"IZZIIIII",
"IIZZIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZIIZIIII",
"IIIIZZII",
"IIIIZIZI",
"IIIIIZIZ",
"IIIZIIIZ",
"ZIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IZIIIIII",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIIIIIZ"
] | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666652,
0,
0,
0.16666666666666663,
0.16666666666666663,
0.3333333333333333,
0,
0.16666666666666663
] | 0.976403 | [
1.3134712145933218,
-0.48274596527887714,
0.6996621896057089,
-0.6303713860835374,
0.6394630033662189,
-0.5476187068948086,
0.8259828182003657,
1.1289804725540924,
-0.8706848590283128,
0.5263917798140283,
-0.6878623677829241,
0.4433935616589784,
-0.4436825467899557,
-0.5916337559141445,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -2.166666666666667,
"target_ratio": 0.97,
"target_value": -2.101666666666667
} | 16 |
9ccd9f6529d5a9ac74541f04b00ec686 | 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": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -10.295194167177126, "params": [0.0012000000000000001, -0.1155, 0.0022, 0.4556, 0.002, 0.44, 0.0037, 0.33330000000000004, 0.0028, 0.6035, 0.0026000000000000003, 0.5144000000000001, 0.0025, 0.5749000000000001, 0.0055000000000000005, 0.19540000000000002, 0.7997000000000001, 0.0038,... | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(6)) + -0.75 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(4) ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 11.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6091848325332633) q[0];
h q[1];
ry(-1.588452627671235) q[1];
h q[2];
ry(-1.6276946459033956) q[2];
h q[3];
ry(-1.6276946459033956) q[3];
ry(-0.10662316151948092) q[4];
rz(-pi) q[4];
ry(-0.06371914567816628) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.627694645903395... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIZIIIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIIZII",
"IIIIIIZZI",
"IIIZIZIII",
"IIZIIZIII",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZZIIII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IZIIIIIII",
"... | [
-0.75,
-0.5,
-0.25,
-0.75,
-0.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.75,
-0.5,
-1.5,
-0.75,
-0.5,
-0.75,
1.75,
-0.25,
0.5,
-0.25,
0.25,
-0.25,
1,
0.5,
-2,
-0.5,
0.75
] | 0.971196 | [
-1.6276946459033956,
-1.2183696650665266,
1.3510578111873717,
-0.7713033139955954,
-1.366570324306977,
-1.4860400757306838,
-1.588452627671235,
-1.5667305303450199,
-0.19520568193687776,
-0.03553861133999609,
-0.04207421077209303,
-0.3488304077040262,
-0.07966413657683813
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 12 |
d030c61aecb3e0005b1eeeae4c1beaf6 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": ... | {"states": [847, 783], "expectation_value": -2.9014734193032465, "params": [[0.1218], [-0.11720000000000001]], "bitstrings": ["0010110000", "0011110000"], "total_optimization_steps": 20, "probabilities": [0.0028798893821379017, 0.0029041523616515188], "optimization_time": 2.8117318153381348} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(6) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.5 * Z(5) + -2.0 * Z(2... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["0011110000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.5795326947084412) q[0];
cx q[1], q[0];
rz(-0.009716084060023888) q[0];
rx(-0.9811288226533759) q[0];
rz(-0.009716084060023888) q[1];
rx(-0.9811288226533759) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(-0.8187863330155092... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIZIIZII",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIIIZIZII",
"IIIIIZZIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"ZIIZIIIIII",
"IZZIIIIIII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIZIIIII",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IZIIIIIIII",
"IIIZIIIIII"... | [
-1,
-2,
0.5,
-2,
1,
0.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
1.5,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5
] | 0.60623 | [
-1.5795326947084412,
-0.8187863330155092,
-0.009716084060023958,
-0.24874693455595068,
-1.2762675676620325,
-0.5388075613017902,
-0.981128822653376
] | {
"n_parameters": 7,
"n_qubits": 10,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 204 |
83e6ae67eaaf3c236b289ec3dffbd0ae | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "... | {"states": [0, 4080], "expectation_value": -14.681479735895854, "params": [[0.0634], [-0.1646]], "bitstrings": ["111111111111", "000000001111"], "total_optimization_steps": 20, "probabilities": [0.0020538153759610315, 0.002126705316771914], "optimization_time": 4.344269514083862} | -4.0 * (Z(0) @ Z(1)) + 2.0 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + -4.0 * (Z(4) @ Z(0)) + 1.5 * (Z(4) @ Z(2)) + -4.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(4)) + -4.0 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + -4.0 * (Z(6) @ Z(2)) + -4.0 * (Z(6) @ Z(4)) + -... | 1 | 12 | 1 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["000000001111"], "largest_eigenvalue": 57.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4828075926966273) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.3610138018628081) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.4828075926966273) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.5975944091625586) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIZIIIIIZI",
"IIIIZIIIIIIZ",
"IIIIZIIII... | [
-4,
2,
-4,
-3,
-4,
1.5,
-4,
-3.5,
-3.5,
1.5,
-4,
-3.5,
-4,
-4,
-3.5,
1.5,
-3.5,
-3,
1,
-3,
-3.5,
-3.5,
1.5,
-4,
-3,
1,
1.5,
0.5,
-2,
1,
-2.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
1,
-1.5,
1.5
] | 0.552739 | [
-0.4828075926966273,
-0.3610138018628081,
-0.5975944091625586,
-0.3351134051692711,
-0.5421678906558696,
-0.27376840003719866,
-0.07234115530952664,
-0.8464789330465069,
-0.4736497491298259,
-1.0808404186223126,
-1.1067725805740527
] | {
"n_parameters": 11,
"n_qubits": 12,
"optimal_eigenvalue": -66.5,
"target_ratio": 0.97,
"target_value": -64.505
} | 266 |
53c11691570e44ca420dcd92cb36ab0e | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [237, 205], "expectation_value": -34.40867795912687, "params": null, "bitstrings": ["100010010", "100110010"], "total_optimization_steps": 100, "probabilities": [0.08514246590232306, 0.12356188420609844], "optimization_time": 182.9101049900055} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(7) @ Z(8)) + 5.0 * (Z(5) @ Z(0)) + 5.0 * (Z(5) @ Z(8)) + 5.0 * (Z(5) @ Z(7)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(8)) + 5.0 * (Z(6) @ Z(7)) + 5.0 * (Z(6) @ Z(5)) + 10.5 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["100110010"], "largest_eigenvalue": 170.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-pi) q[0];
ry(-0.6692895343619091) q[0];
ry(-1.7426045171416933) q[1];
rz(-pi) q[1];
ry(-0.19750625726188328) q[2];
rz(-pi) q[2];
h q[3];
ry(0.795613106277623) q[3];
h q[4];
ry(1.4671082967056135) q[4];
h q[5];
ry(26.777730471718503) q[5];
h q[6];
ry(1.56509243497065... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 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(1.7706) 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] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIZII",
"ZZIIIIIII",
"IIIZIIIIZ",
"ZIIZIIIII",
"IZIZIIIII",
"IIZIIIZII",
"IIZIZIIII",
"ZIZIIIIII",
"IZZIIIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"ZIIIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
10.5,
10,
19.5,
-4,
5,
15,
6,
15.5,
23
] | 0.971412 | [
1.5650924349706565,
16.276498903355424,
26.777730471718503,
-22.733207331417702,
25.99932178968252,
-13.955915355593925,
-10.34194576077333,
41.336461027951394,
2.006133657100812,
1.591226212555246,
-24.00107580588676,
1.365273818856473,
-0.16042094169519808,
0.19342995955877346,
0.02935... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -86.5,
"target_ratio": 0.97,
"target_value": -83.905
} | 144 |
20b8b0e5c782cc8ea901a917e3736a5b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 8}, {"weight": 18, "source": 1, "target": 9}, {"weight":... | {"states": [946, 434], "expectation_value": -62.07652091589637, "params": [1.0997000000000001, 0.39830000000000004, 1.0971, 0.0033, 1.1021, 0.22080000000000002, 0.6549, 0.0048000000000000004, 1.0974000000000002, 0.2773, 1.094, 0.0037, 1.0948, -0.3337, 0.2938, 0.0013000000000000002, 1.0956000000000001, 0.315200000000000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(8)) + 7.5 * Z(1) + 3.0 * Z(0) + 14.5 * Z(2) + 14.5 * Z(4) + 2.... | 6 | 10 | 1 | {"smallest_eigenvalues": [-93.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["1001001101"], "largest_eigenvalue": 149.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.939860772944012) q[0];
rz(2.234132509398865) q[0];
rx(1.4444479115171527) q[1];
rz(1.7381124767436367) q[1];
rx(1.3888613261639824) q[2];
rz(1.7176415517478905) q[2];
rx(0.6904098640868972) q[3];
rz(1.467548183581929) q[3];
rx(2.813768197131693) q[4];
rz(1.4804504... | OPENQASM 3.0;
include "stdgates.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\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIIZIIII",
"IZIIIIIZII",
"IZIIIZIIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIIIIIZII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
7.5,
3,
14.5,
14.5,
2.5,
10,
-0.5,
3.5,
20,
8.5
] | 0.97505 | [
2.939860772944012,
0.6633361826039679,
1.4444479115171525,
0.1673161499487403,
1.3888613261639824,
0.14684522495299418,
0.6904098640868973,
-0.10324814321296724,
2.813768197131693,
-0.09034582924592284,
2.745611379940861,
-0.0705241386912374,
1.2721995370465438,
-0.30667888859754855,
0.1... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -93.5,
"target_ratio": 0.97,
"target_value": -90.695
} | 165 |
4561312364359748419 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 4, 6, 9], [0, 4, 5], [0, 1, 2, 7, 9, 10], [2, 4, 5, 6, 7, 9], [1, 3, 4, 5, 6, 7, 8, 10], [0, 2, 3, 4, 7, 9], [2, 3, 4, 6, 7, 8, 10], [0, 1, 3], [8, 9, 5, 1]]} | {"states": [1211, 1215], "expectation_value": -2.0178397405501713, "params": [1.5685, 1.5601, 0.051300000000000005, 0.054700000000000006, 0.1428, 0.19160000000000002, 1.5684, 1.5694000000000001, 0.0819, 0.0743, 1.5685, 1.5689000000000002, 1.5614000000000001, 1.5737, 1.5791000000000002, 1.5664, 0.8748, 0.880400000000000... | 0.11666666666666667 * (Z(0) @ Z(2)) + 0.14047619047619048 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.10714285714285715 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(0)) + 0.125 * (Z(6) @ Z(4)) + 0.15 * (Z(9) @ Z(2)) + 0.11666666666666667 * (Z(9) @ Z(0)) + 0.11666666666666667 * (Z(9) @ Z(4)) + 0.08333333333333334 * (Z(9) @ Z(6)) +... | 13 | 11 | 1 | {"smallest_eigenvalues": [-2.0857142857142854], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.067857142857142, "smallest_bitstrings": ["01101000000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5240524172430159) q[0];
rz(0.09044283682146391) q[0];
ry(-0.04481260845637401) q[1];
ry(0.0435700878614179) q[2];
ry(1.6165381251484636) q[3];
ry(-0.017567789904604364) q[4];
ry(1.5240524172430159) q[5];
ry(1.4608400669542463) q[6];
ry(1.5184343863684504) 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": []} | [
"IIIIIIIIZIZ",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIZIIIZII",
"IIIIZIIIIIZ",
"IIIIZIZIIII",
"IZIIIIIIZII",
"IZIIIIIIIIZ",
"IZIIIIZIIII",
"IZIIZIIIIII",
"IIIIIZIIZII",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IZIIIZIIIII",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIZIIII... | [
0.11666666666666667,
0.14047619047619048,
0.25,
0.10714285714285715,
0.05,
0.125,
0.15,
0.11666666666666667,
0.11666666666666667,
0.08333333333333334,
0.03333333333333333,
0.16666666666666666,
0.21785714285714283,
0.05119047619047619,
0.11666666666666667,
0.03333333333333333,
0.19999... | 0.973284 | [
1.5240524172430159,
-0.04481260845637401,
0.0435700878614179,
1.6165381251484636,
-0.017567789904604364,
1.4608400669542463,
1.5184343863684504,
1.006257650685663,
1.6282921460802766,
1.9613346651019998,
0.18088567364292782,
-0.05245623063279476,
-0.02547918729252833,
-0.03167541489714195,... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -2.0857142857142854,
"target_ratio": 0.97,
"target_value": -2.0231428571428567
} | 4 |
15981867526b451292338ffade4ee93e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [124, 60], "expectation_value": -1.0138478114421912, "params": [1.4824000000000002, 0.0061, 1.7077, 0.0047, 1.7039000000000002, 0.0091, 1.6983000000000001, 0.0023, 1.7100000000000002, 0.009000000000000001, 0.45020000000000004, 0.0032, 0.4403, 0.0, 0.0031000000000000003, 0.0043, 0.0089, 0.0068000000000000005,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.2... | 18 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000011", "0101001", "0010110"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0615767063417223) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.0615767063417223) q[2];
cx q[1], q[2];
h q[3];
cx q[0], q[3];
rz(1.0615767063417223) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(1.0615767063417223) q[2];
cx q[3], 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",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IZIZIII",
"IZIIIZI",
"ZIZIIII",
"ZIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.5,
0,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5
] | 0.725469 | [
1.0615767063417223,
-0.31295547132631285,
-0.01907240403825381,
-2.5548485838209922,
-0.5424104057174817,
-0.020414202526432848,
0.19890450634838813,
1.7267918799232351
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 234 |
1472a5ca67e59e25eeaff89f60d0271a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"sour... | {"states": [167, 183], "expectation_value": -3.08028883753881, "params": [0.0849, 0.47100000000000003, 0.0828, 0.0013000000000000002, 0.8115, 0.2858, 0.8127000000000001, 0.003, -0.014400000000000001, 0.39690000000000003, -0.007200000000000001, 0.0078000000000000005, 0.8012, 0.09630000000000001, 0.8037000000000001, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -1.0 * Z(0) + 0.0 * Z(4) + -0.5 * Z(7) + -1.5 * Z(2) + -1.0 * Z(5) + 0.0 * Z(6) + -0.5 * Z(8) + 0.0 * Z(3) | 7 | 9 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["101001000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.059568547447828184) q[0];
rz(0.7617980835062728) q[0];
rx(2.1738045016727403) q[1];
rz(-0.048162187131657846) q[1];
cx q[1], q[0];
rz(-0.14431682699561688) q[0];
cx q[1], q[0];
rx(-0.06248457276025616) q[0];
rz(0.7602584592724226) q[0];
rx(1.3554393163493663) 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",
"IIIIZIIIZ",
"IZIIIIIIZ",
"IZIIIIZII",
"IIIZIIZII",
"IIZIIIZII",
"ZIIIIIZII",
"ZIIZIIIII",
"IIIZIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
0,
-0.5,
-1.5,
-1,
0,
-0.5,
0
] | 0.971538 | [
0.05956854744782819,
0.6174812565106561,
2.1738045016727403,
-0.048162187131657846,
0.008607820258075494,
0.12090674304332752,
1.3330642386490434,
0.7166293017432599,
1.7413764540512482,
-0.05526297780375604,
-0.10082570872616085,
0.48134178297874697,
1.336319399322171,
0.15191652239690062... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 30 |
5685d04b4306b22ae56a2bbc733b9334 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [42, 74], "expectation_value": -4.496446952351245, "params": null, "bitstrings": ["1010101", "0110101"], "total_optimization_steps": 28, "probabilities": [0.0670129819919766, 0.9297039673563083], "optimization_time": 23.312415838241577} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -1.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1010101", "0110110", "0110101", "0101110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.49282358549026595) q[1];
cx q[0], q[1];
ry(0.49282358549026595) q[1];
cx q[0], q[1];
ry(1.1446259845620295) q[0];
ry(-0.6888141989310146) q[1];
ry(-0.19217653237367516) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4112833892421122) q[3];
cx q[3], q[0];
ry(-0.2... | 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", ... | [
"IIIIIZZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"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,
-2,
-1,
-1,
-0.5,
-1
] | 0.996069 | [
-1.512573322416855,
-1.2799726973009975,
1.4112833892421122,
1.4283200724327585,
-0.9856471709805319,
0.8613116077479857,
-0.19729419424044806,
-0.5757332536939542,
0.5666287536280875,
-0.22616189047412066,
0.13268498545644442,
-0.19868435239417664,
-0.1201447435527441,
0.2739459079713497,... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
f5d94ed048c28683c088d45a2d452aca | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [106, 46], "expectation_value": -4.9998759092045795, "params": null, "bitstrings": ["0010101", "1010001"], "total_optimization_steps": 34, "probabilities": [1.718011795391879e-05, 0.9999250378357711], "optimization_time": 39.61369824409485} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + -2.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(5) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.02552969185607684) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.02552969185607684) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.02552969185607684) q[2];
cx q[4], q[2];
rz(0.053037807579160656) q[4];
rx(0.03596552598350... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIZIZII",
"ZIIIZII",
"ZZIIIII",
"IZIIZII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-2,
-1,
-0.5,
0
] | 0.97526 | [
0.02552969185607684,
0.05303780757915737,
-0.932451183068515,
-0.44458931057038503,
0.7248839431352665,
0.035965525983503804,
-0.054060400986610024,
1.483589310496052,
-0.50274110913514,
-1.0054512469546093,
-1.424809320745203,
0.1323102766172392,
0.027709653532014676,
-0.3459560570964707,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 32 |
52d445418826abb1edfe2507a27ebafb | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 5}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [106, 110], "expectation_value": -24.050789160379516, "params": null, "bitstrings": ["10010101", "10010001"], "total_optimization_steps": 100, "probabilities": [0.12740879726852652, 0.13759641916956722], "optimization_time": 153.2179217338562} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 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(5)) + 8.5 * Z(1) + 3.0 * Z(0) + 14.0 * Z(2) + 9.5 * Z(4) + 5.5 * Z(3) + 11.0 * Z(5) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 114.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-1.6828308069606857) q[0];
rz(-pi) q[0];
ry(-1.031553795512743) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.47951232566871355) q[2];
h q[3];
ry(1.5494251047186622) q[3];
cx q[3], q[0];
ry(-0.13259672277912185) q[0];
cx q[3], q[0];
rz(-pi) q[4];
ry(-0.4898624661385249) q[... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(22.4081) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
8.5,
3,
14,
9.5,
5.5,
11,
11.5,
7.5
] | 0.972207 | [
22.904847443811345,
-4.836510392042526,
-8.91936632246195,
18.086225405810733,
64.41757649799031,
-24.777570963831565,
-5.2393488668576165,
-11.415326169661288,
-0.5697063469010043,
-0.020562242613332754,
1.5494251047186622,
0.2651934455582437,
-0.44100939376492304,
0.0038150615698399892,
... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 58 |
64ffe24ff120dd8af3137cfb7f155613 | 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": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 8}, {"source": 2, "target":... | {"states": [316, 317], "expectation_value": -6.9739990221395445, "params": [[[0.0028, 0.0022, 0.0058000000000000005, 0.0019], [1.0496, 0.0027, 1.0504, 0.0053], [0.0018000000000000002, 0.004200000000000001, 0.0059, 0.0076], [0.0021000000000000003, -0.9726, 0.0021000000000000003, 0.0026000000000000003], [1.6006, 0.0033, ... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) ... | 12 | 10 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["1011000010"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.012453164966033492) q[0];
rz(0.6746818521249855) q[0];
ry(1.0744605539337435) q[1];
rz(-0.3139785674112585) q[1];
cz q[1], q[0];
ry(2.035881405180127) q[1];
ry(0.16024030002830836) q[2];
rz(0.35561555194987754) q[2];
ry(0.053119992568830474) q[3];
rz(-1.337517655... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IZIIZIIIII",
"IZIIIIIIIZ",
"IZIZIIIIII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZIIIZIIII",
"IIIIIZIZII",
"IZZIIIIIII",
"IIZIIIIZII",
"ZIIIIIIZII",
"IIIIZIZIII",
"IZIIIIZIII",
"IIZIIIZIII",
"IIIIZIIIII",
"IIIIIIIIIZ",
"IIIZIIIIII",
"IZIIIIIIII",
"IIIIIIIIZI"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-3.5,
0,
-1.5,
-0.5,
-1,
0,
-1
] | 0.970532 | [
-0.012453164966033492,
0.6746818521249855,
1.0744605539337435,
-0.3139785674112585,
0.16024030002830836,
0.35561555194987754,
0.053119992568830474,
-1.3375176550828622,
3.1648180589492445,
0.27729309747470976,
0.5249148009103105,
0.33975411304070413,
2.7694758825582064,
-0.5961173427720095... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 19 |
3548e6a53fe7f33eccefb9f4fe0aae2f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 4, "source": 3, ... | {"states": [128, 127], "expectation_value": -0.19894741774662683, "params": [[0.06330000000000001], [-0.0522]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004343170275690316, 0.004406679132127582], "optimization_time": 1.7238574028015137} | 0.25 * (Z(0) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(7)) + -1.25 * (Z(4) @ Z(5)) + -0.25 * (Z(6) @ Z(5)) + -1.25 * Z(7) + -0.25 * Z(0) + -1.0 * Z(1) + 1.25 * Z(2) + 0.75 * Z(3) + -1.0 * Z(5) + 1.25 * Z(4) + 0.25 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000000", "11000000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.20128190913001) q[0];
ry(0.06916472163768679) q[1];
ry(0.015663676468062392) q[2];
ry(0.19038815846766552) q[3];
ry(-0.15396474331331922) q[4];
ry(0.17130891105735244) q[5];
ry(-2.0689069311650736) q[6];
ry(3.088672280705279) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(x0) q[0];
cx q[7],... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"IIIIIZZI",
"ZIIIZIII",
"IIIIZZII",
"ZIZIIIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII"
] | [
0.25,
-1,
-1,
-0.25,
-0.5,
-1.25,
-0.25,
-1.25,
-0.25,
-1,
1.25,
0.75,
-1,
1.25,
0.25
] | 0.970012 | [
1.20128190913001,
0.06916472163768679,
0.015663676468062392,
0.19038815846766552,
-0.15396474331331922,
0.17130891105735244,
-2.0689069311650736,
3.088672280705279,
0.961256083889363,
-2.2180829622012572,
0.06259172568247467,
-0.019184601799460674,
0.022320144500481698,
0.13323763239951938... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 87 |
93f5686fd39e6a6c4d9331c2d208db96 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [125, 63], "expectation_value": -15.358689329607651, "params": null, "bitstrings": ["1110000010", "1111000000"], "total_optimization_steps": 100, "probabilities": [0.08156837453707068, 0.3049233686964222], "optimization_time": 262.66140365600586} | -2.5 * (Z(1) @ Z(2)) + -2.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(6)) + -3.0 * (Z(8) @ Z(6)) + -3.0 * (Z(8) @ Z(4)) + -3.0 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(8)) + 1.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(4)) + -3.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["1111000000"], "largest_eigenvalue": 33.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.23209097533014042) q[1];
rz(-pi) q[1];
ry(-0.03816663693819833) q[2];
rz(-pi) q[2];
h q[3];
h q[4];
h q[5];
ry(0.9287275026498809) q[5];
h q[6];
ry(0.7386495579550908) q[6];
h q[7];
ry(1.4146489285453028) q[7];
h q[8];
ry(0.7287280426103545) q[8];
h q[9];... | null | {"node": 0} | {"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(-1.5708) 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... | [
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIZIZIIII",
"IZIZIIIIII",
"IZIIIZIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IZIIZIIIII",
"ZIIZIIIIII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"ZIIIZIIIII",
"IIZZIIIIII",
"IIZIIZIIII",
"IZZIIIIIII",
"IIZIZIIIII"... | [
-2.5,
-2.5,
0.5,
-2.5,
0.5,
0.5,
-2.5,
-3,
-3,
-3,
1,
-3,
1.5,
0.5,
-3,
-2.5,
-3,
1,
-3,
1.5,
-2.5,
-2,
-1,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970495 | [
-1.6079746887124235,
-1.4353902677154227,
1.457456085220709,
1.8574550052997618,
1.4772991159101816,
0.02667737496466882,
2.8292978570906056,
-1.643531697371524,
3.0606269399484844,
-0.21274495758156375,
-0.09777519535141244,
-1.4754886714570175,
-0.0314151563493171,
-0.027019332995796435,... | {
"n_parameters": 66,
"n_qubits": 10,
"optimal_eigenvalue": -33,
"target_ratio": 0.97,
"target_value": -32.01
} | 335 |
e67f3c00e14c8f91eb0d08bc8d200da9 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "ta... | {"states": [225, 209], "expectation_value": -3.2736185812688277, "params": [0.5504, -0.0056, 0.6014, -0.003, 0.6044, 0.0011, 0.6004, -0.0019, -0.0134, -0.29500000000000004, -0.00030000000000000003, -0.2741, 0.3264, -0.16160000000000002, 0.6023000000000001, 0.0095, 0.5508000000000001, -0.0031000000000000003, 0.6075, 0.0... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * Z(4) + -0.5 * Z(0) + 0.0 * Z(6) + 0.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(2) + -1.0 * Z(5) + -0.5 * Z(7) | 4 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["00101110", "00011110", "10101100", "10011100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.909126703819719) q[0];
rz(1.5623480079533278) q[0];
rx(0.7046471514894905) q[1];
rz(1.8582608541635608) q[1];
rx(0.3584455397429955) q[2];
rz(1.7532039383088378) q[2];
rx(1.003226998178277) q[3];
rz(1.6220982408465296) q[3];
rx(-0.12220810756060674) q[4];
rz(1.4604... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IZIIIIIZ",
"IIIZIIZI",
"IIIZZIII",
"IIIIZZII",
"IIZIZIII",
"IIZIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
0,
0,
-1,
-0.5,
-1,
-0.5
] | 0.973787 | [
0.9091267038197189,
-0.00844831884156882,
0.7046471514894905,
0.2874645273686641,
0.35844553974299553,
0.18240761151394072,
1.003226998178277,
0.051301914051633396,
-0.12220810756060674,
-0.11033795571906216,
0.29245714883473223,
-0.015208233207080452,
-0.17322261944276882,
-0.397243532964... | {
"n_parameters": 68,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 15 |
6240facbcac03ac60847995c8221b912 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [256, 255], "expectation_value": -7.651580693038183, "params": [[[-0.0432, 0.47840000000000005], [0.0066, 0.0323], [0.0027, 0.0022], [0.0, 0.0024000000000000002], [0.0017000000000000001, 0.0021000000000000003], [-0.0005, 0.0022], [0.0034000000000000002, -0.0035], [-0.2523, -1.0763], [-0.07050000000000001, 0.... | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(6) ... | 15 | 9 | 4 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0046977098774302496) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.012269863936092744) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.01562822642382422) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(0.013100666109334625... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIIIZIZI",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIZIZII",
"IIIZZIIII",
"ZIIIZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IIZZIIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"... | [
-0.5,
-1,
-0.25,
-0.75,
-0.25,
-0.75,
1,
-0.25,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
-0.25,
0.5,
-0.25,
-2.5,
0.5,
0.25,
-0.25,
0.5,
0,
1.25
] | 0.97208 | [
-0.0046977098774302496,
0.012269863936092744,
0.01562822642382422,
0.013100666109334625,
0.5369349309225615,
1.6360153546291618,
1.5825548729034598,
1.6537585943579427,
2.153860546154924,
1.4736137931055673,
-1.538693100576994,
1.3642954316225193,
0.016598763102727992,
-0.5286694379827523,... | {
"n_parameters": 31,
"n_qubits": 9,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 369 |
9915ff93784d747e82bcd9a73a2399e5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [14, 28], "expectation_value": -0.11351921433688153, "params": [[0.0761], [-0.0733]], "bitstrings": ["10001", "00011"], "total_optimization_steps": 10, "probabilities": [0.03437436342560909, 0.03437436342560911], "optimization_time": 0.9681203365325928} | 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(4)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["10001", "00011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(x0) q[4];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
0,
0
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
c0497b20d0e680cacc77174a13e8b8b4 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [84, 85], "expectation_value": -2.8769951962842777, "params": [[[0.0033, 0.2528, 0.0009000000000000001, 0.0011], [0.2657, -0.0099, 0.27040000000000003, 0.0018000000000000002], [-0.016800000000000002, -0.1794, 0.0011, -0.1763], [0.2681, -0.023200000000000002, 0.2669, 0.0039000000000000003], [-0.01910000000000... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(1) @ Z(5)) + -0.125 * (Z(3) @ Z(1) @ Z(6)) + -0.125 * (Z(1) @ Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + 0.12... | 12 | 8 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.375, "smallest_bitstrings": ["10110010", "10101100", "10111000", "11001001", "11001100", "11101000", "10101010"], "largest_eigenvalue": 6.625} | 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": []} | [
"IIIIIZZI",
"IIIZZIII",
"IIIIZIZI",
"IIZIIIZI",
"IZIIIIZI",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"IIZIZIZI",
"IZIIZIZI",
"IZZIIIZI",
"IZZIZIII",
"IZZIZIZI",
"IIZIIZII",
"ZIIIIZII",
"ZIZIIIII",
"ZIZIIZII",
"IZIZIIII",
"ZIIIIIIZ",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
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,
0.5,
0.5,
-1,
-0.125,
-0.25,
-0.125,
-0.5,
0.125,
-0.125,
-0.25
] | 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 |
cf37919d6a949ddf46d1ba52baad11a7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, ... | {"states": [4846, 4862], "expectation_value": -3.8895833793578585, "params": [0.7882, 0.10940000000000001, 0.17450000000000002, 0.2977, 0.2851, -0.2893, 0.7863, 0.0047, 0.004, 0.5711, 0.7867000000000001, -0.0023, 0.7884, 0.004, 0.789, -0.024800000000000003, 0.3992, 0.1004, 0.785, 0.0034000000000000002, 0.78850000000000... | 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)) + 0.0625 * (... | 18 | 13 | 4 | {"smallest_eigenvalues": [-4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375], "number_of_smallest_eigenvalues": 19, "first_excited_energy": -3.4375, "smallest_bitstrings": ["1000100001010", "001010001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.9710988307186401) q[0];
rz(-0.02891617297319593) q[0];
rx(0.01057020565881352) q[1];
rz(0.4201067776955153) q[1];
rx(0.17533459356932862) q[2];
rz(-0.2611102377168925) q[2];
rx(0.815311740040549) q[3];
rz(0.3185927358966159) q[3];
rx(0.02598770948038412) 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",
"IIIIIIIIIZIIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIZIZI",
"IIIIIIIIIZZII",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIZZ",
"IIIIIIIIIZZIZ",
"IIIIIIIIIZZZI",
"IIIIIIIIIZZZZ",
"IIIIIIIIZIIIZ",
"IIIIIIIZIIIIZ",
"IIIIIIZIIIIIZ",
"IIIIIZIIIIIIZ",
"IIIIIIIZZIIII",
"IIIIIIZIZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0... | 0.971532 | [
0.97109883071864,
0.1852350393243934,
0.01057020565881352,
0.4201067776955153,
0.17533459356932862,
-0.2611102377168925,
0.815311740040549,
0.3185927358966159,
0.02598770948038412,
0.4488470663552064,
0.8538907870390587,
-0.06192037117045744,
0.6391143778249074,
0.6360541241011217,
0.103... | {
"n_parameters": 144,
"n_qubits": 13,
"optimal_eigenvalue": -4.4375,
"target_ratio": 0.97,
"target_value": -4.304375
} | 17 |
bcc7c92837c5aa9cb22713cbf630defa | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [917, 661], "expectation_value": -98.95811902714466, "params": [0.4395, 0.47350000000000003, 0.1932, 0.1864, 0.4766, 0.466, -0.12390000000000001, 0.020300000000000002, 0.0059, 0.0073, 0.5257000000000001, 0.5292, 0.002, -0.0013000000000000002, 0.5273, 0.5299, 0.0182, 0.0173, 0.4917, 0.48910000000000003, 0.451... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(6) @ Z(0)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(9) @ Z(5)) + 7.0 * (Z(9) @ Z(7)) + 6.0 * Z(0) + 16.5 * Z(1) + -2.5 * Z(3) + 5.5 * Z(2) + 23... | 14 | 10 | 3 | {"smallest_eigenvalues": [-105.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.0, "smallest_bitstrings": ["0101101010"], "largest_eigenvalue": 166.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.3430374866046191) q[0];
rz(pi/2) q[0];
ry(0.10813849589768604) q[1];
ry(0.6920876187620012) q[2];
ry(-0.036613788751422155) q[3];
ry(-0.022343399179178228) q[4];
ry(0.192458140987879) q[5];
ry(0.06409629865050773) q[6];
ry(0.7590808699867488) q[7];
ry(0.1083588640... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIIZIIIIIZ",
"IIZZIIIIII",
"IZIIIIIZII",
"ZIIIIIIIZI",
"ZIIIZIIIII",
"ZIZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIZIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
6,
16.5,
-2.5,
5.5,
23,
-2,
20,
0.5,
-5,
16
] | 0.970775 | [
0.3430374866046191,
0.10813849589768604,
0.6920876187620012,
-0.036613788751422155,
-0.022343399179178228,
0.192458140987879,
0.06409629865050773,
0.7590808699867488,
0.1083588640976722,
0.4706017701550065,
0.28232503723337243,
0.10589393197921815,
-0.12301657594239573,
0.691085442444596,
... | {
"n_parameters": 117,
"n_qubits": 10,
"optimal_eigenvalue": -105,
"target_ratio": 0.97,
"target_value": -101.85
} | 5 |
-5464571633819214252 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 2, 3], [0, 1]]} | {"states": [10, 9], "expectation_value": -0.6580632820980631, "params": null, "bitstrings": ["0101", "0110"], "total_optimization_steps": 16, "probabilities": [0.1884678603761806, 0.4229033830896444], "optimization_time": 8.547419548034668} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(0) + 0.16666666666666666 * Z(3) + 0.0 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1000", "0110", "0101"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
ry(-0.28254679856887294) q[1];
cx q[0], q[1];
ry(0.28254679856887294) q[1];
cx q[0], q[1];
ry(1.3357698466461476) q[0];
ry(-1.1498856255149432) q[1];
h q[2];
ry(-0.8961742179333647) q[2];
h q[3];
cx q[3], q[0];
ry(0.02999948996318926) q[0];
cx q[3], q[0]... | 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];\ncry(-1.0342) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... | [
"IZIZ",
"ZZII",
"ZIIZ",
"IIZZ",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666663,
0.16666666666666666,
0
] | 0.974943 | [
-0.5650935971377459,
1.365769336609337,
-1.1054090542426758,
-0.05999897992637852,
-1.7923484358667294,
0.20052569427065048,
-0.08895314254453471,
0.6455606028349913,
-0.5938194213421149,
-0.0979364633263261,
0.6970694384869789,
0.1538968641629346,
-0.5610365535464261,
0.7368821503559022,
... | {
"n_parameters": 16,
"n_qubits": 4,
"optimal_eigenvalue": -0.8333333333333333,
"target_ratio": 0.97,
"target_value": -0.8083333333333332
} | 24 |
f438dd84874324e8039dc4edeb3bf57b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [31, 29], "expectation_value": -0.2603441094747695, "params": [[0.057600000000000005], [-0.050100000000000006]], "bitstrings": ["100000", "100010"], "total_optimization_steps": 10, "probabilities": [0.018024573233204305, 0.018194982714025365], "optimization_time": 1.6050117015838623} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + 0.0 * Z(2) + -1.5 * Z(5) + 1.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.08518445392886709) q[0];
h q[1];
ry(0.7344530129428192) q[1];
h q[2];
cx q[2], q[1];
ry(-0.7344530129428192) q[1];
cx q[2], q[1];
ry(1.0101684841631557) q[1];
ry(0.3778026982403184) q[2];
h q[3];
ry(1.4689060258856383) q[3];
cx q[3], q[2];
ry(-0.37780269824... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IZIZII",
"IIIZZI",
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IIZIZI",
"IIZZII",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"ZIIIII",
"IIZIII"
] | [
-0.75,
-0.5,
-0.5,
-2,
1,
-1,
-0.75,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
1,
0,
-1.5,
1.5
] | 0.970023 | [
1.4689060258856383,
0.7556053964806368,
1.0101684841631557,
0.7450025616198421,
1.116283706090253,
0.17036890785773418,
-1.7697599114863298,
-0.4403637208421415,
1.9537061785283334,
-1.0502727024979575,
-0.15078201215917703,
-0.018246425341645917,
0.10291598989964974,
0.5684135011893949,
... | {
"n_parameters": 19,
"n_qubits": 6,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 137 |
6c4c8df370f6ecf478f9950d001f8aa2 | 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": [430, 428], "expectation_value": -88.9544048842167, "params": [0.6711, -0.324, 1.3953, -0.029900000000000003, 1.3993, 0.014400000000000001, 0.0031000000000000003, 0.8079000000000001, 1.3957000000000002, 0.0043, -0.0032, 0.8989, 1.3937000000000002, 0.0016, 1.3932, -0.1829, 0.7866000000000001, -0.2626, -0.0131... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(8)) + 6.0 * (Z(9) @ Z(2)) + 12.5 * Z(2) ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-109.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -94.5, "smallest_bitstrings": ["1001010011"], "largest_eigenvalue": 179.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.11158324166639057) q[0];
rz(0.43140702547671417) q[0];
rx(1.2530378332743333) q[1];
rz(-0.04055455497321883) q[1];
rx(0.9600313883276212) q[2];
rz(0.3248560750494861) q[2];
rx(-0.09671725815676027) q[3];
rz(-0.5972457934269297) q[3];
rx(1.2050370965440966) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIIZZIIIII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZIZIIIIII",
"IIZIIIIIIZ",
"IZZIIIIIII",
"ZIIIIIIZII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
12.5,
23.5,
8,
21,
-4,
18,
-5,
13.5,
9.5,
-1.5
] | 0.972253 | [
0.11158324166639058,
0.3727873333652022,
1.2530378332743333,
-0.04055455497321883,
0.9600313883276212,
0.3248560750494861,
-0.09671725815676027,
-0.5972457934269297,
1.2050370965440966,
0.017747746461416226,
-0.05471764409543766,
0.5067544016524477,
0.9626450507763745,
0.010251710838258836... | {
"n_parameters": 86,
"n_qubits": 10,
"optimal_eigenvalue": -109.5,
"target_ratio": 0.97,
"target_value": -106.215
} | 9 |
f2ba1cba76ebf70dad60d61ddb34ab54 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [12, 114], "expectation_value": -0.5846892953295099, "params": [[0.0383, -0.0066, 0.0489, 0.0766], [-0.054200000000000005, 0.0045000000000000005, -0.0251, -0.0506]], "bitstrings": ["1110011", "0001101"], "total_optimization_steps": 10, "probabilities": [0.010392128614990871, 0.01114515511620166], "optimizati... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.5 * Z(4) + -1.5 * Z(6) + 0.0 * Z(1) + -1.0 * Z(2) + 0.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.7543941912538985) q[0];
rz(-0.2973135532185305) q[0];
rx(1.0136037983846455) q[1];
rz(-0.4549579175298568) q[1];
rx(0.7270075443943155) q[2];
rz(-0.42331741035869586) q[2];
rx(0.07293848341388678) q[3];
rz(0.16558499177147779) q[3];
rx(-0.040452338185542364) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZIIIZ",
"ZIIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIZIZI",
"IIIZZII",
"IIZIZII",
"ZIIIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII"
] | [
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,
0,
-1,
0
] | 0.9716 | [
0.7543941912538987,
-0.17849880660902132,
1.0136037983846455,
-0.3512189801095408,
0.7270075443943155,
-0.3312489911844281,
0.07293848341388678,
0.2507107626461243,
-0.04045233818554237,
0.13239119703441402,
1.0164269108152308,
-0.20182593386990874,
0.04938658288353154,
-0.3203455322742893... | {
"n_parameters": 68,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 20 |
66d07e9164e0b6b1f3fd526ba44aa954 | 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": 3}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"sour... | {"states": [322, 330], "expectation_value": -5.019302343828739, "params": [0.9062, 0.0018000000000000002, -0.027100000000000003, -0.2975, 0.9052, 0.0034000000000000002, -0.0048000000000000004, -0.4964, -0.046900000000000004, -0.42750000000000005, 0.8993, -0.0031000000000000003, 0.7129000000000001, 0.004, 0.904600000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(1) ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["010110101", "011100101"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.3937289964319945) q[0];
rz(1.3899021764032868) q[0];
rx(-0.1712461305850276) q[1];
rz(1.3070131236953806) q[1];
rx(1.51797405375033) q[2];
rz(1.413327982807016) q[2];
rx(-0.1173975769602549) q[3];
rz(0.9117450355224754) q[3];
rx(-0.2197283098698871) q[4];
rz(0.9615... | OPENQASM 3.0;
include "stdgates.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",
"IIIIIZIZI",
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IZIIIIIZI",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"IIZIZIIII",
"IIIIZIZII",
"IIIZIZIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1,
-1.5,
-1,
-0.5,
-1,
-0.5
] | 0.973538 | [
1.3937289964319945,
-0.18089415039160997,
-0.17124613058502763,
-0.2637832030995165,
1.51797405375033,
-0.15746834398788073,
-0.11739757696025492,
-0.6590512912724209,
-0.21972830986988712,
-0.6092246945704736,
1.6224200930156383,
-0.05953227230670059,
0.47124142331922164,
0.08281871946209... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 15 |
-7473405426267967668 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 3, 6, 7, 9, 10], [0, 2, 4, 5, 6, 7, 9, 10, 11], [1, 3, 6, 10, 11], [0, 1, 6, 10, 11], [1, 3, 4, 7, 9], [0, 5, 8, 9, 11], [0, 2, 3, 4, 5, 6, 7, 11], [4, 6, 7, 8, 9, 10, 11], [0, 1, 4, 5, 10, 11], [3, 5, 7, 9, 10], [0, 3, 5, 7, 8, 9], [0, 2, 4, 6, 7,... | {"states": [2795, 2811], "expectation_value": -4.75810523368348, "params": [1.5692000000000002, 1.5662, 0.0332, 0.0393, 1.5668, 1.5704, 0.0135, 0.0123, 1.5535, 1.5822, 1.5698, 1.5657, 1.5738, 1.5722, 0.8762000000000001, 0.8573000000000001, 1.639, 1.5065000000000002, 0.0108, 0.008400000000000001, 1.2881, 1.3132000000000... | 0.16507936507936505 * (Z(0) @ Z(4)) + 0.1607142857142857 * (Z(5) @ Z(4)) + 0.13452380952380952 * (Z(5) @ Z(0)) + 0.21269841269841266 * (Z(8) @ Z(4)) + 0.221031746031746 * (Z(8) @ Z(0)) + 0.1488095238095238 * (Z(8) @ Z(5)) + 0.19841269841269837 * (Z(9) @ Z(4)) + 0.21626984126984122 * (Z(9) @ Z(0)) + 0.27738095238095234 ... | 13 | 12 | 1 | {"smallest_eigenvalues": [-4.82738095238095], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.769444444444442, "smallest_bitstrings": ["010100000100"], "largest_eigenvalue": 24.999999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.6905735124002064) q[0];
rz(0.022242411397746478) q[0];
ry(0.08737424102574814) q[1];
ry(1.5294269187474885) q[2];
ry(0.00890869459895344) q[3];
ry(1.566425968398401) q[4];
ry(1.6368883574839357) q[5];
ry(1.671820122538604) q[6];
ry(0.7344789564842628) q[7];
ry(1.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIIZZIIII",
"IIIIIIZIIIIZ",
"IIIZIIIZIIII",
"IIIZIIIIIIIZ",
"IIIZIIZIIIII",
"IIZIIIIZIIII",
"IIZIIIIIIIIZ",
"IIZIIIZIIIII",
"IIZZIIIIIIII",
"ZIIIIIIZIIII",
"ZIIIIIIIIIIZ",
"ZIIIIIZIIIII",
"ZIIZIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIZIZII",
"IIIIIIIIIZIZ",
"IIIIIIZII... | [
0.16507936507936505,
0.1607142857142857,
0.13452380952380952,
0.21269841269841266,
0.221031746031746,
0.1488095238095238,
0.19841269841269837,
0.21626984126984122,
0.27738095238095234,
0.2876984126984127,
0.13888888888888887,
0.15674603174603172,
0.175,
0.16269841269841268,
0.31388888888... | 0.981422 | [
1.6905735124002064,
0.08737424102574814,
1.5294269187474885,
0.00890869459895344,
1.566425968398401,
1.6368883574839357,
1.671820122538604,
0.7344789564842628,
1.690115702316744,
-0.05427312706455595,
1.2670813211410894,
1.468847933750308,
0.044484822795492956,
-0.01334614020766317,
-1.1... | {
"n_parameters": 46,
"n_qubits": 12,
"optimal_eigenvalue": -4.82738095238095,
"target_ratio": 0.97,
"target_value": -4.6825595238095215
} | 1 |
a65a8f132e9e11ca587f1073a44b14e3 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "s... | {"states": [17, 1], "expectation_value": -0.4768246998787199, "params": [[0.011600000000000001, 0.0603], [0.0034000000000000002, -0.0456]], "bitstrings": ["111101110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0026246495416823606, 0.0027160743402433636], "optimization_time": 4.596683502197266} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(7... | 1 | 9 | 2 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7576989536039568) q[0];
ry(-0.02769920467597297) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.9709349169544848) q[2];
h q[3];
ry(-1.5153979072079136) q[3];
ry(-1.570792075828601) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5153979072079136) q[5];
h q[6];
ry(-1.5153979072... | OPENQASM 3.0;
include "stdgates.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",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIIIIZIZI",
"IIZIIZIII",
"IIIZIIIZI",
"IIZZIIIII",
"IIIZIZIII",
"IIIIIIZZI",
"IIIIZIZII",
"IIZIIIZII",
"IIIIIZZII",
"IZIIZIIII",
"IZZIIIIII",
"IZIIIZIII",
"IZIIIIZII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.75,
-0.25,
-1.25,
-0.5,
-1.5,
-0.75,
-1.25,
-0.5,
-1.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.75,
-0.5,
-0.75,
1.75,
-0.5,
-1.5,
-0.25,
0.5,
-1,
0.75,
0.5,
1.25,
-1.5,
1.25
] | 0.955061 | [
-1.5153979072079136,
1.5707962630942358,
-0.8130973016131445,
-3.5126661492229454,
1.5707877049182808,
-3.141583911769153,
1.9418698109471277,
-0.05539842982202022,
-2.0157038444357187e-7,
1.941869868714013
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -15.75,
"target_ratio": 0.97,
"target_value": -15.2775
} | 401 |
a8af5a844c6b7264f669c1b8b9005a26 | 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": 8}, {"capacity": 6, "source": 2, "target": 8}, {"capacity": 1, "source": 3, "target": 1}, {"capacity": 2, "s... | {"states": [256, 255], "expectation_value": -9.103414820348183, "params": [[[-0.0066, 0.045000000000000005], [0.0059, 0.0019], [0.0048000000000000004, 0.0023], [0.2632, 0.0018000000000000002], [0.008700000000000001, 0.0019], [0.1374, 0.0024000000000000002], [0.0092, 0.0044], [-0.0386, 0.08900000000000001], [1.908200000... | 0.25 * (Z(0) @ Z(8)) + -1.5 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(7) @ Z(8)) + -1.5 * (Z(7) @ Z(2)) + -2.0 * Z(8) + -0.25 * Z(0) + -0.5 * Z(2) + 0.75 * Z(3) + -3.25 * Z(1) + 1.0 * Z(4) + -0.... | 15 | 9 | 2 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75, -9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.75, "smallest_bitstrings": ["100000000", "110011100", "110010100", "110000100", "110000000", "100000100"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.505009769555469) q[0];
h q[1];
ry(-1.6077441895945872) q[1];
h q[2];
ry(0.8284337385535052) q[2];
h q[3];
ry(0.7864209970508521) q[3];
h q[4];
ry(0.7766345099630225) q[4];
h q[5];
ry(0.8161067009306773) q[5];
h q[6];
h q[7];
ry(1.5259056825138972) q[7];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] 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": []} | [
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIIZI",
"IIZIZIIII",
"IIIZIIIZI",
"IIIZZIIII",
"ZZIIIIIII",
"IZIIIIZII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII"
] | [
0.25,
-1.5,
-0.5,
-0.25,
-1.5,
-0.5,
-1.5,
-1,
-0.75,
-1.5,
-2,
-0.25,
-0.5,
0.75,
-3.25,
1,
-0.5,
2.5,
2.25
] | 0.976042 | [
-1.6077441895945872,
1.5259056825138972,
1.6568674771070104,
1.6322134018613546,
1.5728419941017042,
1.553269019926045,
-1.010019539110938,
0.37603075659380614,
0.32506128830629594,
0.7422913414550457,
-0.5336589698862334,
-0.18940705976798117,
0.2422029102598407,
0.005366032189264451,
0... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 1 |
30ba64f2314d12dd7a4bba52fce6e2f0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 2, "target": 4}, {"capaci... | {"states": [21, 31], "expectation_value": -5.074334699257932, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 37, "probabilities": [0.11261830073505118, 0.7491392973575856], "optimization_time": 25.618993043899536} | -0.75 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -1.75 * (Z(2) @ Z(4)) + -0.75 * (Z(1) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + 0.75 * Z(1) + 0.25 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.25, "smallest_bitstrings": ["111110", "101110", "100000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.013998913927963777) q[0];
rz(-0.17149443553368027) q[0];
rx(0.9176296645850912) q[1];
rz(-0.008414519479911217) q[1];
rx(-0.07133329756888002) q[2];
rz(-0.28009948850485156) q[2];
rx(-0.07133329756888002) q[3];
rz(-0.21658522262626537) q[3];
rx(0.050114731907889454... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIZIIZ",
"IZZIII",
"IZIIIZ",
"IZIZII",
"IIIZZI",
"ZIZIII",
"ZIIIIZ",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIIIZI",
"ZIIIII"
] | [
-0.75,
-1,
-0.25,
-1.75,
-0.75,
-1,
1.25,
0.25,
-0.25,
-0.5,
-0.5,
0.75,
0.25
] | 0.974597 | [
0.013998913927963777,
-0.17149443553368027,
0.9176296645850912,
-0.008414519479911217,
-0.07133329756888002,
-0.28009948850485156,
-0.21658522262626537,
0.050114731907889454,
0.09333842897412256,
2.434106439818495,
0.40266511199623956
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 9 |
-4537073476167521322 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [0, 4], [4, 6], [0, 7], [0, 3], [1, 3], [0, 1], [3, 7], [5, 7], [2, 6], [3, 6], [6, 7]]} | {"states": [57, 198], "expectation_value": -0.10113832313659459, "params": [[-0.0639], [0.0674]], "bitstrings": ["11000110", "00111001"], "total_optimization_steps": 10, "probabilities": [0.004458576971406062, 0.004458576971406062], "optimization_time": 1.8936946392059326} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["00111001", "11000110"], "largest_eigenvalue": 6.0} | 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[1];
rz(-0.5447744479377515) q[1];
cx q[4], q[1];
cx q[4], q[0];
rz(-0.5447744479377515) q[0];
cx q[4], q[0];
cx q[1], q[0];
rz(-0.5447744479377515) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.5447744479377515) q[3];
cx q[... | 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[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZI",
"IIIZIIIZ",
"IIIIIIZZ",
"IZIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIZIII",
"ZIIIZIII",
"ZIZIIIII",
"IZIIIZII",
"IIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.426732 | [
-0.5447744479377515,
1.4547668866869141e-8,
0.676858927691164
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 96 |
b2c25a19a038d07471a5450910ba4971 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 1}, {"source": 3, "target": 4}, {"source": 1, "target": 2}]} | {"states": [27883, 27997], "expectation_value": -5.052705410453398, "params": [[0.2893], [-0.2973]], "bitstrings": ["001001100010100", "001001010100010"], "total_optimization_steps": 30, "probabilities": [0.0005446184387218358, 0.000544618438721836], "optimization_time": 144.28648281097412} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 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)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) ... | 1 | 15 | 1 | {"smallest_eigenvalues": [-8.74999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999982, "smallest_bitstrings": ["001001010100010"], "largest_eigenvalue": 26.250000000000092} | 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... | 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[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0]... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIIIZIIIIIZIII",
"IIIIZIIIIIZIIII",
"IIIIIIIIIIZZIII",
"IIIZIIIIIZIIIII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
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,
1.25,
1.25,
1.25,
1,
1,
1,
0.75,
0.75,
0.75,
1,
1,
1
] | 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 |
ad0fe7481f54a4d50469fdf40e39612a | 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": 6, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": ... | {"states": [0, 256], "expectation_value": -34.49597774860949, "params": [0.0035, 0.0007, -0.0051, -0.006, -0.004200000000000001, 0.0004, 0.304, 0.3024, 0.0005, -0.0066, -0.002, -0.0023, -0.0057, -0.0036000000000000003, -0.004, -0.0047, 0.0006000000000000001, -0.0044, -0.0038, -0.0056, -0.0006000000000000001, -0.0015, -... | -1.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(7) @ Z(0)) + -1.5 * (Z(11) @ Z(1)) + -1.25 * (Z(11) @ Z(0)) + -2.75 * (Z(11) @ Z(6)) + -0.25 * (Z(11) @ Z(7)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + -1.25 * (Z(5) @ Z(11)) + -2.5 * (Z(5) @ Z(4)) + -1.25 * (Z(8) @ Z(7)) + -1.0 * (Z(8... | 14 | 12 | 3 | {"smallest_eigenvalues": [-38.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.25, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.043390027374692504) q[0];
rz(1.658289908594508) q[0];
rx(0.1672871067648536) q[1];
rz(1.8298397320928768) q[1];
rx(0.07127756077611802) q[2];
rz(1.8052119267567663) q[2];
rx(0.5854769337798417) q[3];
rz(1.5015126618907306) q[3];
rx(0.040908555887348944) 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... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIIZIIIIII",
"ZIIIZIIIIIII",
"IIIIZIIZIIII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"ZIIIIIZIIIII",
"IIIIIIZZIIII",
"IIIZZIIIIIII",
"IIIZIIIZIIII",
"IIIZIIZIIIII",
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IZIIIIIII... | [
-1.5,
-0.5,
-1.5,
-1.5,
-1.25,
-2.75,
-0.25,
-0.5,
-0.5,
-1,
-1.25,
-2.5,
-1.25,
-1,
-0.75,
5,
-1.5,
-1.25,
-0.25,
-0.75,
-1,
-0.5,
-1.25,
-0.5,
-0.25,
-1.25,
-1.75,
-1.5,
-0.25,
-0.25,
-1,
-2,
-1.75,
-0.25,
0.5,
-1.25,
-1.75,
1.5,
0.25,
... | 0.972768 | [
-0.0433900273746925,
0.0874935817996105,
0.16728710676485362,
0.2590434052979803,
0.071277560776118,
0.23441559996186992,
0.5854769337798418,
-0.06928366490416643,
0.04090855588734894,
0.23134838865942672,
-0.11441011439042607,
0.2779754436256155,
-0.14126130851205765,
0.3775768077039269,
... | {
"n_parameters": 101,
"n_qubits": 12,
"optimal_eigenvalue": -38.25,
"target_ratio": 0.97,
"target_value": -37.1025
} | 12 |
efa25cabc62f138e84552c7d6bca453a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [91, 87], "expectation_value": -6.756596650769997, "params": [[0.0488], [-0.0587]], "bitstrings": ["10100100", "10101000"], "total_optimization_steps": 10, "probabilities": [0.006884208574553865, 0.007200924004657185], "optimization_time": 1.59568452835083} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 8.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + 9.0 * Z(3) + 15.0 * Z(4) + 11.5 * Z(5) + 18.0 * Z(6) + 14.5... | 1 | 8 | 1 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.5, "smallest_bitstrings": ["10101000"], "largest_eigenvalue": 122.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.023438424504869597) q[0];
cx q[1], q[0];
rz(-1.5869189824465773) q[0];
rx(-1.5727138661786972) q[0];
h q[2];
h q[3];
cx q[2], q[3];
rz(0.023438424504869597) q[3];
cx q[2], q[3];
rz(-1.7426260758304402) q[2];
rx(-1.5727138661786972) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIIZI",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
8,
-2,
-1.5,
9,
15,
11.5,
18,
14.5
] | 0.985064 | [
0.023438424504869597,
1.5504145814935684,
-1.586918982446577,
-1.7426260758304395,
1.8672436392217329,
4.666302767689491,
1.2402628391910901,
1.5511742790373055,
1.5658570303124457,
-1.5727138661786972
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -59.5,
"target_ratio": 0.97,
"target_value": -57.714999999999996
} | 61 |
5898983956941172742 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 8, 10], [8, 9, 4], [1, 10], [3, 4], [9, 5, 1], [0, 6], [8, 9, 5], [1, 7], [0, 10, 4], [0, 8, 7], [0, 2, 7], [0, 9], [9, 2, 6], [9, 10], [1, 6], [8, 6], [0, 3], [4, 5, 6], [9, 3], [2, 5], [9, 6, 7], [8, 10, 7], [8, 5, 7], [10, 5], [8, 3], [3, 5, 6], [1, 3]... | {"states": [1365, 1638], "expectation_value": 6.522560269672795e-16, "params": [[0.0016, 0.0004, 0.005, 0.006, 0.0024000000000000002, 0.0067, 0.0076, 0.0089, 0.005200000000000001, 0.0053, 0.0044]], "bitstrings": ["01010101010", "00110011001"], "total_optimization_steps": 10, "probabilities": [0.0004884169472622836, 0.0... | 0.3333333333333333 * (Z(0) @ Z(8)) + 0.3333333333333333 * (Z(10) @ Z(8)) + 0.3333333333333333 * (Z(10) @ Z(0)) + 0.3333333333333333 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(10)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(10)) + 0.166666666... | 9 | 11 | 1 | {"smallest_eigenvalues": [-7.166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.833333333333335, "smallest_bitstrings": ["00110011001"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
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];
cz q[10], q[9];
rx(0.011940313480640456) q[10];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0... | 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": []} | [
"IIZIIIIIIIZ",
"ZIZIIIIIIII",
"ZIIIIIIIIIZ",
"IZZIIIIIIII",
"IZIIIIIIIIZ",
"ZZIIIIIIIII",
"IIZIIIZIIII",
"IIIIIIZIIIZ",
"ZIIIIIZIIII",
"IZIIIIZIIII",
"ZIIIIIIIIZI",
"IZIIIIIIIZI",
"IIZIIIIZIII",
"IIIIIIIZIIZ",
"IZIIIIIZIII",
"IIIIIIZZIII",
"IIIIIIIZIZI",
"IIZIIZIIIII",
"IIIIIZIII... | [
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.3333333333333333,
0.5,
0.5,
0.3333333333333333,
... | 0 | [
0.06781121025742387,
0.03229213922495341,
-0.03294497108474425,
-0.03992741114621286,
-0.04870198163195016,
0.03178105410881759,
-0.10681946292932969,
0.014056612530016579,
0.049463844634278095,
-0.15875620303297033,
0.011940313480640456
] | {
"n_parameters": 11,
"n_qubits": 11,
"optimal_eigenvalue": -7.166666666666665,
"target_ratio": 0.97,
"target_value": -6.951666666666665
} | 1 |
-8059573654421842142 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 5], [2, 6], [1, 3, 6], [0, 1, 2], [0, 3, 6], [3, 4, 5], [1, 2, 5], [2, 4, 5], [5, 6]]} | {"states": [58, 90], "expectation_value": -0.419323017719087, "params": [[-0.1511], [0.165]], "bitstrings": ["1000101", "0100101"], "total_optimization_steps": 20, "probabilities": [0.011299331360350088, 0.011299331360350088], "optimization_time": 0.964975118637085} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.6666666666666674, -2.6666666666666674], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3333333333333335, "smallest_bitstrings": ["1000101", "0100101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.011057656988734364) q[0];
h q[1];
cx q[1], q[0];
ry(0.011057656988734364) q[0];
cx q[1], q[0];
ry(0.18368240841444844) q[1];
cx q[0], q[1];
ry(0.09154995062233204) q[1];
cx q[0], q[1];
ry(-0.1752971625863851) q[0];
ry(0.26792253861641113) q[1];
h q[2];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[5];
rz(x1) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IIIIIZZ",
"IZIIIZI",
"ZIIIIZI",
"IIIZIIZ",
"IZIZIII",
"ZIIZIII",
"IIIZIZI",
"IIZIZII",
"IZZIIII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII"
] | [
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
... | 0.971031 | [
1.4663431271204321,
-0.7264561765047893,
1.4543025139525996,
0.7776620911453415,
-0.6766713743369428,
0.6257249332129443,
-1.036709071748208,
-0.4230604807209331,
-0.49628452400259365,
0.17088608542986097,
-0.02211531397746873,
0.27523235903678045,
-0.18309990124466408,
-0.0850680236501091... | {
"n_parameters": 31,
"n_qubits": 7,
"optimal_eigenvalue": -2.6666666666666674,
"target_ratio": 0.97,
"target_value": -2.5866666666666673
} | 12 |
6e936c9031f4ef335042a74fa41c3e34 | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 3, "target": 2}, {"capacity": 2, "source": 3, "target": 6... | {"states": [29, 35], "expectation_value": -0.3878456695584074, "params": [[-0.043300000000000005, -0.0526, -0.0369], [0.0492, 0.0666, 0.0488]], "bitstrings": ["1100010", "1011100"], "total_optimization_steps": 10, "probabilities": [0.010393673781037472, 0.010479537904000706], "optimization_time": 3.23970365524292} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + 0.0 * Z(4) + -0.25 * Z(0) + 0.25 * Z(5) + 0.5 * Z(3) + -0.5 * Z(2) + 0.25 * Z(6) + -0.25 * Z(1) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000000", "1100000", "1010100", "1100010", "1100100", "1010000", "1100110", "1000100", "1110000", "1110010", "... | 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(0.006599739930172845) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(0.006599739930172845) q[3];
cx q[4], q[3];
cx q[3], q[2];
rz(0.006599739930172845) q[2];
cx q[3], q[2];
rz(0.006599739930173154) q[2];
rx(1.52576029632... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZZIII",
"IIIZZII",
"ZIIIIIZ",
"ZZIIIII",
"ZIIZIII",
"IZIIIZI",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIIIIZI"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
1.25,
-0.5,
-0.5,
-0.25,
0,
-0.25,
0.25,
0.5,
-0.5,
0.25,
-0.25
] | 0.896155 | [
0.006599739930172845,
-0.059218668570738146,
0.782628674871177,
-1.5687868123923565,
-1.565222460442388,
-1.5704982977894495,
1.5257602963225112
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 198 |
4a175d9307d295beb89bea910fa1688b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [159, 151], "expectation_value": -63.55390345521517, "params": [0.49410000000000004, 0.49810000000000004, 0.09870000000000001, 0.0931, 0.1322, 0.1273, 0.4968, 0.4927, 0.1991, 0.2026, 0.4847, 0.4823, 0.46030000000000004, 0.46290000000000003, 0.4615, 0.4605, 0.4937, 0.49520000000000003, 0.09090000000000001, 0.... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * Z(0) + 4.0 * Z(1) + 1.5 * Z(2) + 20.5 * Z(3) + 8.0 * Z(4) + 14.0 * Z(5) ... | 14 | 8 | 3 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["01101000"], "largest_eigenvalue": 155.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.34699608411763355) q[0];
rz(pi/2) q[0];
ry(0.09630770394074394) q[1];
ry(-0.005909433384739062) q[2];
ry(0.4068340033436373) q[3];
ry(0.1127395109171791) q[4];
ry(0.5524495093043653) q[5];
ry(0.41060269620673817) q[6];
ry(0.5917259264366829) q[7];
cx q[7], q[0];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"ZIIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
4,
1.5,
20.5,
8,
14,
7,
22.5
] | 0.97494 | [
0.34699608411763355,
0.09630770394074394,
-0.005909433384739062,
0.4068340033436373,
0.1127395109171791,
0.5524495093043653,
0.41060269620673817,
0.5917259264366829,
-0.09455829862729662,
-0.09730352740503623,
-0.1615412685811195,
-0.3696775348636222,
-0.13446254811080913,
0.48502480707499... | {
"n_parameters": 95,
"n_qubits": 8,
"optimal_eigenvalue": -76.5,
"target_ratio": 0.97,
"target_value": -74.205
} | 10 |
a38227ca05bb5e1c3110df61e15475e5 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target... | {"states": [21845, 43605], "expectation_value": -2.0125975041444817, "params": [3.1444, 0.22, 3.915, -0.0016, 3.1443000000000003, -0.2707, 4.1305000000000005, -0.0032, 3.1442, 0.304, 4.2575, 0.0021000000000000003, 3.1441000000000003, 0.2818, 1.8297, 0.0, 3.0087, -0.0027, 2.9543, -0.0008, 3.0241000000000002, 0.002600000... | 0.25 * (Z(0) @ Z(1)) + -0.0011718750000000002 * (Z(2) @ Z(0)) + -0.0011718750000000002 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000390625 * (Z(4) @ Z(0)) + -0.0011718750000000002 * (Z(4) @ Z(2)) + 0.000390625 * (Z(5) @ Z(1)) + -0.0011718750000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0001953125 * (Z(6) @ Z(0)... | 4 | 16 | 1 | {"smallest_eigenvalues": [-2.0216796874999714], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0216796874999443, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.01738281249993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.5828140966267514) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.014155834669197016) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.014155834669197016) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.5828140966267514) q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0011718750000000002,
-0.0011718750000000002,
0.25,
0.000390625,
-0.0011718750000000002,
0.000390625,
-0.0011718750000000002,
0.25,
0.0001953125,
0.0001953125,
-0.0013671875000000001,
0.0001953125,
0.0001953125,
-0.0013671875000000001,
0.25,
-0.0011718750000000002,
0.000390... | 0.977509 | [
-1.5828140966267514,
-0.014155834669197016,
-0.02116396070815279,
-0.013337028446488167,
0.04356747679686805,
-0.008037532779039583,
0.10057400069633016,
0.009481270663633676,
0.7191847124874255
] | {
"n_parameters": 9,
"n_qubits": 16,
"optimal_eigenvalue": -2.0216796874999727,
"target_ratio": 0.97,
"target_value": -1.9610292968749734
} | 24 |
bf6da4ba12bc35dd69340a822c024e8c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1449, 1321], "expectation_value": -128.3411137957301, "params": [1.071, -0.0134, 0.0935, 0.16010000000000002, 1.0631000000000002, -0.0154, 0.4751, -0.48960000000000004, 0.11170000000000001, -0.0013000000000000002, 1.062, 0.06960000000000001, 0.1665, 0.007500000000000001, 1.0644, 0.0031000000000000003, -0.63... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(4) @ Z(0)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(10) @ Z(2)) + 7.5 * (Z(10) @ Z(3)) + 7.5 * (Z(10) @ Z(7)) + 31.5 * Z(2) + 4.5 * Z(1) + 14.5... | 4 | 11 | 3 | {"smallest_eigenvalues": [-139.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -131.5, "smallest_bitstrings": ["01011010110"], "largest_eigenvalue": 232.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.0334760891933934) q[0];
rz(1.3614795577382548) q[0];
rx(-0.053319381685429226) q[1];
rz(1.6986845139198472) q[1];
rx(1.0810850809325214) q[2];
rz(1.575591521945265) q[2];
rx(0.07692516269848755) q[3];
rz(0.8698131633423598) q[3];
rx(0.16395024347224701) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIZIIIIZII",
"IIIZIIIZIII",
"IIIIZZIIIII",
"IIIZZIIIIII",
"ZIIIIIIIZII",
"ZIIIIIIZIII",
"ZIIZIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
31.5,
4.5,
14.5,
11,
0.5,
9.5,
22,
0.5,
15,
-11.5,
-14.5
] | 0.981721 | [
1.0334760891933932,
-0.20931676905664176,
-0.05331938168542922,
0.1278881871249505,
1.0810850809325212,
0.004795195150368907,
0.07692516269848754,
-0.7009831634525369,
0.16395024347224701,
-0.06950025064486039,
0.892684855587601,
0.004235156644182156,
0.1416149791973365,
-0.037096579311872... | {
"n_parameters": 94,
"n_qubits": 11,
"optimal_eigenvalue": -139.5,
"target_ratio": 0.97,
"target_value": -135.315
} | 12 |
56e1adf8b542035858076c6ee6d1eecb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [1094, 1095], "expectation_value": -99.81488705561009, "params": [[1.4395, 0.0229, 0.0025, -0.1153, 1.1065, 0.0027, -0.0183, 0.0028, 1.3857000000000002, 1.5118, 0.2104], [0.751, 0.11850000000000001, 0.0026000000000000003, 0.12440000000000001, 1.1029, 0.0034000000000000002, -0.0211, 0.003, -0.064, 0.065700000... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(6)) + 8.0 * (Z(8) @ Z(3)) + 8.0 * (Z(8) @ Z(9)) + 8.0 * (Z(10) @ Z(1)) + 3.5 * Z(1) + 16.0 * Z(0) + 5.5 * Z(4) + 2.0 * Z(3) + -6.0 * Z(5) + 1.5 * Z(6) + 16.0 * Z(9) + 6.0 * Z(8) + 0.5 * Z(10) + ... | 10 | 11 | 2 | {"smallest_eigenvalues": [-108.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.0, "smallest_bitstrings": ["01110111000"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.4350067838545144) q[0];
ry(-0.3645886498508156) q[1];
ry(0.28187308496308827) q[2];
ry(-0.15751364764515732) q[3];
ry(1.090073992252534) q[4];
ry(0.09883770323337451) q[5];
ry(0.12076459212016666) q[6];
ry(-0.1659347165993953) q[7];
ry(1.4124628576910894) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIZIIIIIZ",
"IZIIIIIIIIZ",
"IZIIZIIIIII",
"IIZIIIIZIII",
"IZZIIIIIIII",
"ZIIIIIIIIZI",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IZIIIIIIIII",
"IIZIIIIIIII",
"ZIIIIIIIIII",
"IIIIIIIIZ... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
3.5,
16,
5.5,
2,
-6,
1.5,
16,
6,
0.5,
-11.5,
-13.5
] | 0.970803 | [
1.4350067838545144,
-0.3645886498508156,
0.28187308496308827,
-0.15751364764515732,
1.090073992252534,
0.09883770323337451,
0.12076459212016666,
-0.1659347165993953,
1.4124628576910894,
1.4279187109828146,
0.20027767246366282,
0.8215752118814938,
0.276024676346875,
-0.08837925251701244,
... | {
"n_parameters": 31,
"n_qubits": 11,
"optimal_eigenvalue": -108,
"target_ratio": 0.97,
"target_value": -104.75999999999999
} | 11 |
ea6f28b1d52734982303edc3e4a649bb | 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": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, ... | {"states": [224, 228], "expectation_value": -3.1952996991530522, "params": [1.5886, 1.5571000000000002, 2.1663, 0.9836, 2.1788000000000003, 0.9602, -0.0161, -0.0171, 0.0021000000000000003, 0.0021000000000000003, 0.8570000000000001, 0.864, -0.0009000000000000001, 0.0058000000000000005, 0.0026000000000000003, 0.002600000... | 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 | 8 | 1 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["00011011", "10000111"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.010579390403300512) q[0];
rz(0.5032633397346796) q[0];
ry(-0.16775742047494524) q[1];
rz(0.4239821625260418) q[1];
cx q[1], q[0];
ry(0.08641991018112673) q[0];
rz(0.8114268101915858) q[0];
ry(0.11118927672779633) q[1];
rz(-0.5652374082435947) q[1];
ry(0.30165731961... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIIZIIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IIZZIIZI",
"IZIIIZII",
"ZIIIIZII",
"ZZIIIIII",
"ZZIIIZII",
"IIZIZIII",
"IIIIIIIZ",
"IIIIIIZ... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.125,
0.125,
0.125,
-0.125,
-0.25,
-0.25,
-0.75,
-0.75
] | 0.970089 | [
0.010579390403300512,
0.5032633397346796,
-0.16775742047494524,
0.4239821625260418,
0.30165731961222375,
-0.16334054591635155,
-0.08287043178903097,
-0.6586726372166358,
0.30175015715223785,
0.9393288219767209,
0.1699036987785315,
-0.04037235258249219,
-0.14445755865650717,
0.4806517596819... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 29 |
3bcfe4648282d1b3b76d6f42e87e5c5d | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [109, 115], "expectation_value": -2.838724855327932, "params": null, "bitstrings": ["10010010", "10001100"], "total_optimization_steps": 52, "probabilities": [0.08383982851123065, 0.6270265834518883], "optimization_time": 122.97703289985657} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(3) @ Z(5)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-3.3125, -3.3125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3125, "smallest_bitstrings": ["10010010", "10001100"], "largest_eigenvalue": 5.6875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.4983893330425997) q[1];
cx q[0], q[1];
ry(0.4983893330425997) q[1];
cx q[0], q[1];
ry(1.066076181721017) q[0];
ry(-0.5938713995022797) q[1];
h q[2];
ry(1.5402154026626123) q[2];
h q[3];
ry(1.5402154026626123) q[3];
ry(-0.17623757719026006) q[4];
rz... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZZIII",
"IZZIIIII",
"IIZIZIII",
"ZIIIZIII",
"ZIZIIIII",
"ZIZIZIII",
"IIIIIZZI",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIIZIZII",
"IZIIIZII",
"ZIIIIZII",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIZIZZI",
"IZIIIZZI",
"ZIIIIZZI",
"IZIZIIZI",
"ZIIZIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.062... | 0.996974 | [
-1.5938656292948508,
-1.3287538149981546,
1.5402154026626123,
-0.9967786660851994,
0.7888739065478406,
-0.13160986921296364,
-0.42930010710070565,
0.5544045503463523,
-0.32914258480314823,
0.19808762382699582,
-0.14239960728529294,
0.027159174901727368,
0.17468980324708977,
-0.025156201310... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
7248792757770052003 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 3, 5, 6], [0, 3, 4, 6], [1, 3, 4, 5], [0, 2, 3, 5, 6, 7], [2, 4, 7], [0, 3, 4, 5, 7], [0, 2, 4, 5, 6], [1, 4, 7]]} | {"states": [159, 31], "expectation_value": -1.5833712926579613, "params": [1.2202, -0.1874, 0.8329000000000001, 0.0019, 0.7549, -0.1452, 0.613, 0.0, 0.7796000000000001, -0.155, 0.7082, 0.0009000000000000001, 1.3849, 0.062400000000000004, 1.1218000000000001, 0.009600000000000001, 1.3877000000000002, 0.0582, 1.3885, 0.00... | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.11666666666666667 * (Z(2) @ Z(0)) + 0.11666666666666667 * (Z(3) @ Z(1)) + 0.2 * (Z(3) @ Z(0)) + 0.06666666666666667 * (Z(3) @ Z(2)) + 0.11666666666666667 * (Z(5) @ Z(1)) + 0.16666666666666669 * (Z(5) @ Z(0)) + 0.11666666666666667 * (Z(5) @ Z(... | 6 | 8 | 1 | {"smallest_eigenvalues": [-1.866666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8666666666666663, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.7487851711714095) q[0];
rz(1.19039673688353) q[0];
rx(0.4065512665348623) q[1];
rz(1.6235314501709457) q[1];
rx(0.5792856458558516) q[2];
rz(1.488281932229718) q[2];
rx(1.6784066862022196) q[3];
rz(1.6816170423489076) q[3];
rx(1.8225791717201512) q[4];
rz(1.5962541... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZZIIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIII... | [
0.03333333333333333,
0.03333333333333333,
0.11666666666666667,
0.11666666666666667,
0.2,
0.06666666666666667,
0.11666666666666667,
0.16666666666666669,
0.11666666666666667,
0.2,
0.03333333333333333,
0.2,
0.11666666666666667,
0.15,
0.11666666666666667,
0.25,
0.18333333333333335,
0.2... | 0.971516 | [
0.7487851711714096,
-0.38039958991136674,
0.40655126653486234,
0.05273512337604859,
0.5792856458558517,
-0.0825143945651779,
1.6784066862022196,
0.11082071555401045,
1.8225791717201514,
0.025457846209198193,
1.4115454148474829,
0.10958557131117576,
1.8758766711627157,
0.0209480010117601,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -1.866666666666667,
"target_ratio": 0.97,
"target_value": -1.8106666666666669
} | 46 |
62ca4fdc3f835f51dee1780376d2bf19 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 5}, {"weight": 1... | {"states": [214, 122], "expectation_value": -16.298883285350303, "params": [[0.025, -0.0627], [-0.0504, 0.0596]], "bitstrings": ["00101001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.00846103713424612, 0.00993383958928606], "optimization_time": 3.944317102432251} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 155.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03311259666018414) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.03311259666018414) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.03311259666018414) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.033... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
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,
22.5,
9.5,
12.5,
12.5,
16,
11,
14.5,
0.5
] | 0.970979 | [
-0.03311259666018414,
-0.926740016131006,
1.1332781721574576,
-0.6828999435483087,
0.048848077717694956,
-0.6892557923561745,
-0.9341746867604942,
-1.0526159075651214,
1.562787464657171,
-0.6479653873188044,
-0.7809022078920977,
-0.48800858196832586,
-0.05786698635618916,
-3.23403462105192... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 139 |
637debe169b0146f0865e4dcdbbf5c98 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"sour... | {"states": [250, 234], "expectation_value": -5.390980122404016, "params": [[[-0.0029000000000000002, 0.2635], [0.5029, -0.0035], [0.46680000000000005, 0.0031000000000000003], [0.5015000000000001, -0.0024000000000000002], [0.33680000000000004, 0.049100000000000005], [0.5024000000000001, 0.0015], [0.001, 0.2156], [0.5085... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + -0.5 * Z(1) + -2.0 * Z(0) + -1.0 *... | 1 | 9 | 4 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["101000101", "100010101"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-0.5625968049484844) q[0];
ry(0.04258918374013726) q[0];
rz(0.9405878751254786) q[0];
rz(-2.346672760759583) q[1];
ry(3.043138564807055) q[1];
rz(1.0397626947774734) q[1];
rz(1.4114082158694234) q[2];
ry(2.614540850676172) q[2];
rz(-1.3159286077631476) q[2];
rz(0.683... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIZIZII",
"ZIIIIIZII",
"IIZIIZIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-1,
0,
-1.5,
-2.5,
-0.5,
-0.5,
0
] | 0.973023 | [
-0.0208688123171194,
0.12770430157267337,
0.9320498282169836,
0.028851739345060287,
0.5795188111219437,
-0.31509134167954356,
0.6781955755329079,
-0.14064732011710884,
-0.04774619837860228,
-0.25675645416889636,
0.7135599958471233,
-0.06285365159116792,
0.012079107113558862,
0.025677435270... | {
"n_parameters": 58,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 16 |
6be29fcf64186db29d8d06f08ec325c6 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [206, 198], "expectation_value": -2.244619142206576, "params": [2.2048, 0.0023, 2.2051000000000003, 0.0097, 0.0024000000000000002, 0.0061, 0.40240000000000004, 0.0071, 1.5664, 0.0032, 2.2015000000000002, 0.008700000000000001, 2.2045, 0.0098, -0.019100000000000002, 0.0031000000000000003, 0.0041, 0.00960000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1) @ Z(6)) ... | 16 | 8 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.25, "smallest_bitstrings": ["10100110", "00110110", "00110011", "01110001", "00111001", "10101001"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-2.9437113529898604) q[0];
rz(0.0016260709049866762) q[0];
rx(3.4296792862449417) q[1];
rz(1.1913011004301606) q[1];
cx q[1], q[0];
rz(0.015086233168601998) q[0];
cx q[1], q[0];
rz(0.32191463907376133) q[1];
rx(0.03189089480925868) q[2];
rz(-0.5027947031620799) q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIZZZIII",
"IIIZIIZI",
"IZIIIIZI",
"IZIZIIII",
"IZIZIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.25,
0.25,
0.25,
-0.25,
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,
-0.75,
-0.25,
0,
-0.25,
-0.25,
-0.5
] | 0.982417 | [
3.3394739541897263,
0.016712304073588924,
3.4296792862449417,
1.1913011004301606,
0.03189089480925867,
-0.23698160238807575,
-0.18382111424629338,
0.4138953982696465,
-0.19167456282803633,
-0.2771815042292091,
3.0282028227869757,
-0.1250923824193959,
3.2096010362394285,
-0.4837302848461374... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 20 |
1c80f3c75b1022b250456b9adb4d4588 | 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": 4}, {"source": 3, "... | {"states": [767, 1023], "expectation_value": -14.366750847447678, "params": [0.1179, 2.484, 0.08950000000000001, 0.007, 0.0012000000000000001, 2.3093, 0.002, 0.0034000000000000002, 0.638, 2.5202, 0.1617, 0.01, 1.0077, 2.3673, 0.7705000000000001, 0.0012000000000000001, -1.0215, 0.9565, 0.21450000000000002, 0.00450000000... | -1.5 * (Z(1) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(9)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + -2.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 0... | 6 | 12 | 1 | {"smallest_eigenvalues": [-20.5, -20.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.5, "smallest_bitstrings": ["000000000000", "110000000000"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(0.7881973540517776) q[0];
h q[1];
h q[2];
h q[3];
ry(0.7907293289779709) q[3];
h q[4];
ry(0.046606813134946995) q[4];
cx q[2], q[4];
ry(-0.046606813134946995) q[4];
cx q[2], q[4];
ry(1.5587695768240728) q[2];
cx q[2], q[3];
ry(-0.7907293289779709) 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[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIIZIZII",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IIIZZIIIIIII",
"IZZIIIIIIIII",
"IZIIZIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIII... | [
-1.5,
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
-1.5,
-2,
-2,
0.5,
-2.5,
0.5,
0.5,
0.5,
-1.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971171 | [
0.09321362626989399,
1.5587695768240728,
0.544818641536793,
0.0410280574670515,
-0.1986086597017536,
0.5306605180693353,
0.040464218229772225,
0.16128146173068025,
0.6041273568895739,
0.06783314616493902,
-0.05293718679934651,
1.5814586579559418,
0.6304560385128332,
-0.13376611041215536,
... | {
"n_parameters": 78,
"n_qubits": 12,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 164 |
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