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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
4d9c0a679165a8428113584eee3a2f8b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [184, 168], "expectation_value": -4.198371970015027, "params": [0.3173, -0.0228, 0.3129, -0.0188, -0.0034000000000000002, 0.228, 0.0045000000000000005, 0.2551, 0.37560000000000004, -0.0013000000000000002, 0.3758, 0.061700000000000005, 0.21680000000000002, 0.0198, 0.2233, 0.0196, 0.39480000000000004, 0.0019, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(7) + ... | 7 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["01111001", "11101001", "10110110", "01010111", "11000111", "11010110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.45527431850752204) q[0];
rz(-0.3637010960088647) q[0];
rx(-0.029876881143591657) q[1];
rz(0.31790743190992676) q[1];
cx q[1], q[0];
rz(0.06793061899684755) q[0];
cx q[1], q[0];
rz(1.6007518410356356) q[0];
ry(1.184605406706165) q[0];
rz(-1.5050453605766376) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIIIZZI",
"IZIIIIZI",
"IZIIIZII",
"ZIZIIIII",
"IIZIIZII",
"IZIZIIII",
"IIZZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-1,
-1,
-1,
-0.5
] | 0.97584 | [
0.455274318507522,
-0.2957704770120173,
-0.029876881143591657,
0.31790743190992676,
0.7342934452428647,
0.009672046882547705,
0.04940325934391136,
0.04401358457852078,
0.3945882938554576,
0.1849628392885304,
0.4397679348608384,
-0.03047100338266956,
0.006725697979632322,
-0.339161331300118... | {
"n_parameters": 113,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
16f78d4600a63f9e28571cad22ffe3ee | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 3, "target": 7}, {"source": 4, "ta... | {"states": [104, 108], "expectation_value": -3.7800291489655153, "params": [-0.015700000000000002, 0.2222, -0.0152, 0.2218, 0.404, 0.009600000000000001, 0.39840000000000003, 0.0006000000000000001, 0.4031, -0.0045000000000000005, 0.3975, -0.0027, 0.07150000000000001, -0.1698, 0.07440000000000001, -0.1711, 0.398300000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(3) + 0.0 * Z(1) + -1.0 * Z(7) + -0.5 * Z(4) | 7 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000011", "10010011", "10011100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.06533991207500221) q[0];
rz(1.7673554067439534) q[0];
rx(0.22394717722886268) q[1];
rz(1.5834346747889922) q[1];
rx(0.5914177553622147) q[2];
rz(1.2988874808531223) q[2];
rx(0.7383563693045873) q[3];
rz(1.421982816396154) q[3];
rx(0.6418769613290847) q[4];
rz(1.784... | 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": []} | [
"IIIIIZIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IIIIZIZI",
"ZIZIIIII",
"ZIIIZIII",
"IZIZIIII",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-1,
-1,
-0.5,
0,
-1,
-0.5
] | 0.979432 | [
0.0653399120750022,
0.196559079949057,
0.2239471772288627,
0.012638347994095411,
0.5914177553622149,
-0.27190884594177434,
0.7383563693045871,
-0.14881351039874235,
0.6418769613290847,
0.21384660442009046,
0.8641840268522056,
0.23059727903605726,
0.11989875580688164,
-0.19251224406203676,
... | {
"n_parameters": 90,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 22 |
c02c0d20f6c2eced217a1608fe24e974 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target":... | {"states": [88, 216], "expectation_value": -9.164152489769737, "params": [[[0.0019, 0.0079], [-0.0026000000000000003, 0.008400000000000001], [1.6337000000000002, 0.0022], [1.7063000000000001, 0.0046], [-0.0034000000000000002, 0.0021000000000000003], [1.7032, 0.006900000000000001], [1.7016, 0.0028], [0.0019, 0.0022], [0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["1100100111", "1010101101"], "largest_eigenvalue": 31.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.10319911293170303) q[0];
rz(-0.7271005921209904) q[0];
rx(-0.012387886057767618) q[1];
rz(0.010281138139967904) q[1];
rx(2.573726364102219) q[2];
rz(-0.5301909269645401) q[2];
rx(3.068017205204408) q[3];
rz(-0.40813506564504853) q[3];
rx(-0.04452779059558061) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IZIIIIIIIZ",
"IZIZIIIIII",
"IIIIIIIZZI",
"IIIIIZIZII",
"IZIIIIIZII",
"ZIIIIIIIZI",
"ZIIIIZIIII",
"ZIIIZIIIII",
"ZIIIIIIZII",
"IIZIIIZIII",
"IIZIZIIIII"... | [
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,
-2,
-2.5,
-1,
-2.5,
-1.5,
-1.5,
-1.5,
-2,
-2,
-2.5
] | 0.977127 | [
-0.10319911293170303,
-0.7271005921209904,
-0.012387886057767618,
0.010281138139967904,
2.573726364102219,
-0.5301909269645401,
3.068017205204408,
-0.40813506564504853,
-0.04452779059558061,
1.3521154200341376,
2.640780410183009,
-0.014382556310344588,
3.382342817547887,
1.206728369865377,... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 15 |
fc080107649a6d17dcb56ee14364c80b | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 3}, {"weight": 17, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target": 3}, {"weight": 4... | {"states": [119, 118], "expectation_value": -15.510649358651161, "params": [[0.031200000000000002, 0.0221], [-0.0514, -0.0579]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.009090938861778298, 0.010452599630856148], "optimization_time": 4.116584777832031} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 152.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.03719020080834875) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.03719020080834875) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.03719020080834875) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.03719020080834875) q[3];
cx q[0], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
11.5,
7.5,
19,
14.5,
12.5,
13,
17,
4.5
] | 0.97288 | [
0.03719020080834875,
-1.8699221453934163,
1.5492561782986691,
-1.5931886264214523,
-1.6517452253590352,
1.8627470768994112,
-1.1395722413714153,
-1.5382517386917764,
1.6492088456784,
1.2904626098927485,
0.06032190008345585,
0.7509437090138501,
-1.2690087663305125,
-0.04464628747226069,
0... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 82 |
a95fe1af790884bf43922b4c66937937 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capac... | {"states": [512, 511], "expectation_value": -0.3363904039696012, "params": [[0.0729], [-0.0659]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0014299775564026226, 0.0014575174368289699], "optimization_time": 3.422924041748047} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(1)) + -0.5 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(7)) + -0.5 * (Z(9) @ Z(1)) + 0.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(7)) + -0.75 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(8)) + -0.25 * (Z(3) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.75, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.035323644296896314) q[0];
ry(0.09606502332896397) q[1];
ry(-0.27266609767624506) q[2];
ry(-0.06979675264468291) q[3];
ry(-0.10371062479573706) q[4];
ry(-0.2528520023814306) q[5];
ry(0.035323644296896314) q[6];
ry(0.035323644296896314) q[7];
ry(-0.04510936373531264... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"IZIIIIIZII",
"IIIIIZZIII",
"IIZIIIZIII",
"IZIIIIZIII",
"ZIIIIIZIII",
"IIIIIIZZII",
"IIIIZZIIII",
"ZIIIZIIIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIZIZIIII"... | [
-0.25,
-0.25,
-0.25,
-0.75,
-0.5,
-0.75,
-0.5,
0.75,
-0.5,
-0.75,
-0.5,
-0.5,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-1,
-0.5,
0.75,
-0.25,
0,
-0.5,
0.25,
-1,
0.25,
0,
0.5,
0
] | 0.974578 | [
0.035323644296896314,
0.09606502332896397,
-0.27266609767624506,
-0.06979675264468291,
-0.10371062479573706,
-0.2528520023814306,
-0.045109363735312644,
2.4452675269104343,
0.04393449627057875,
0.03607181063416332,
-0.020264025357449412,
0.045923511204224006,
0.11283642718849557,
0.0551397... | {
"n_parameters": 31,
"n_qubits": 10,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 64 |
df6b0a55435c2e6f48611bfeaa2a8959 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [55, 47], "expectation_value": -5.998211351150566, "params": null, "bitstrings": ["11001000", "11010000"], "total_optimization_steps": 43, "probabilities": [0.06462233070086883, 0.9336041138231552], "optimization_time": 50.22284388542175} | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11001000", "11010000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.023782534509358612) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.2362354194851212) q[1];
cx q[5], q[1];
cx q[0], q[1];
rz(-0.2362354194851212) q[1];
cx q[0], q[1];
cx q[5], q[2];
rz(-0.2362354194851212) q[... | null | {"source": 0, "sink": 4} | {"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[... | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIIZZ",
"IIZIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IZZIIIII",
"IZIIIIZI",
"ZIZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIZIZI",
"IZIIZIII",
"ZIIIZIII",
"IIIZIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIIZZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IZIIIII... | [
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
1.5,
-0.5,
0.5,
0,
2,
2,
-0.5,
-0.5
] | 0.690016 | [
0.023782534509358612,
-0.2362354194851212,
0.0030841673081000017,
-1.5267108229648716,
-1.5111620816372704,
-1.5332934594005045,
1.9304385541401896
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 207 |
6127224946031228756 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5], [2, 5, 7], [2, 4, 5, 6], [0, 4], [0, 2, 3], [1, 3, 5], [1, 2, 6], [3, 7]]} | {"states": [124, 62], "expectation_value": -0.9911243350027231, "params": [[0.3509], [-0.33740000000000003]], "bitstrings": ["10000011", "11000001"], "total_optimization_steps": 40, "probabilities": [0.014100010943813138, 0.014582421790696295], "optimization_time": 3.2652275562286377} | 0.5 * (Z(0) @ Z(5)) + 0.25 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.25 * (Z(6) @ Z(2)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7500000000000004, "smallest_bitstrings": ["11000001"], "largest_eigenvalue": 6.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.18995867787847887) q[0];
h q[1];
ry(-0.4230656595770359) q[1];
h q[2];
ry(1.622561632031594) q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
ry(0.18995867787847887) q[0];
cx q[5], q[0];
ry(-0.26864938092773666) q[0];
cx q[4], q[0];
ry(0.26864938092773666) 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;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IIZIIZII",
"IIIIIZIZ",
"ZIZIIIII",
"ZIIIIZII",
"IIZZIIII",
"IIIZIIIZ",
"IIIZIZII",
"IZZIIIII",
"IZIIIZII",
"IZIZIIII",
"IIZIZIII",
"IIIIZIIZ",
"IIIIZZII",
"ZIIIZIII",
"IIZIIIZI",
"IIIIIZZI",
"IZIIIIZI",
"IIIIZIZI",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIII... | [
0.5,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.1... | 0.972429 | [
1.622561632031594,
-0.37991735575695773,
1.316144403975403,
-0.5372987618554733,
1.1293899689851679,
-0.34712928996413933,
0.9846409557588621,
-0.6739443628918341,
-0.42936667536802214,
0.5018576470479625,
0.0702327972285419,
-0.20487462744366736,
0.4843931534512211,
-0.6247675688920544,
... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -2.8333333333333335,
"target_ratio": 0.97,
"target_value": -2.7483333333333335
} | 24 |
90f81c82692b1dd044ae903ac894de2a | 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": [429, 397], "expectation_value": -99.39170971854136, "params": [0.003, 0.0038, 2.8002000000000002, 0.0047, 2.8049, 0.001, 1.1725, 0.0081, 1.538, 0.009600000000000001, 0.003, 0.005200000000000001, 2.8087, 0.0086, 2.8042000000000002, 0.008, 0.002, 0.0057, 2.7983000000000002, 0.0046, 0.008, 0.0074, 0.0087000000... | 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(4) @ Z(1)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(9) @ Z(4)) + 7.0 * (Z(9) @ Z(7)) + 14.0 * Z(2) + -4.0 * Z(0) + 8.5 * ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-120.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -111.0, "smallest_bitstrings": ["1001110010"], "largest_eigenvalue": 189.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.14203633878467242) q[0];
rz(0.05994730086314792) q[0];
rx(3.22973925149513) q[1];
rz(0.21874668743545095) q[1];
rx(3.045602557852153) q[2];
rz(0.351125783261978) q[2];
rx(0.33623073487862254) q[3];
rz(0.20713878812956163) q[3];
rx(0.5600980601413834) q[4];
rz(-0.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIZIIZIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIIZIIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIIIZIIII",
"ZIZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
14,
-4,
8.5,
31,
11.5,
7.5,
-4,
23,
-5.5,
16
] | 0.971832 | [
0.14203633878467242,
0.17703838939710984,
3.22973925149513,
0.21874668743545095,
3.045602557852153,
0.351125783261978,
0.33623073487862254,
0.20713878812956163,
0.5600980601413834,
-0.23271463688442207,
0.19431507818069468,
3.206720711773053,
0.1983003375325203,
3.153401713491691,
-0.234... | {
"n_parameters": 28,
"n_qubits": 10,
"optimal_eigenvalue": -120,
"target_ratio": 0.97,
"target_value": -116.39999999999999
} | 12 |
27e77dc99416ada4c5d281f5cb59d253 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4... | {"states": [64, 63], "expectation_value": -1.403865961024881, "params": [[0.0693, 0.0711, 0.076, 0.067], [-0.0543, -0.0538, -0.0665, -0.058]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.022703941915738823, 0.023195012681073456], "optimization_time": 9.883263349533081} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["1001000", "1000000"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.001861280777779208) q[0];
ry(-0.5773662085055048) q[1];
ry(-0.10758590765451301) q[2];
ry(0.021903783796151637) q[3];
ry(-0.008785686069597308) q[4];
ry(-0.055595892079957104) q[5];
ry(2.7673418599787256) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZZIII",
"ZIZIIII",
"IIZIIZI",
"IIZIZII",
"IZIZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-1,
-0.25,
-0.5,
1.5,
-0.5,
0.5,
0.25
] | 0.977551 | [
-0.001861280777779208,
-0.5773662085055048,
-0.10758590765451301,
0.021903783796151637,
-0.008785686069597308,
-0.055595892079957104,
2.7673418599787256,
0.05934540510533431,
0.06567533265908135,
-0.0026966537146873096,
0.0024350819685033907,
-0.12588591029733984,
-0.04433102940974164,
-0.... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 21 |
b72451fd8beb69606a84f4be9a392c11 | 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": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, ... | {"states": [128, 1], "expectation_value": -13.249859566697138, "params": null, "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 25, "probabilities": [0.16039986051788002, 0.8124810515768286], "optimization_time": 25.37407374382019} | -1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + 2.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.0, "smallest_bitstrings": ["11111110", "10000010", "11000010"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(4.5847965068196375e-09) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.047144458058862276) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(4.5847965068196375e-09) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(4... | 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(-1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IIIZIZII",
"IZIIIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"IIIZIIZI",
"IIZIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIII... | [
-1,
-1.25,
-0.75,
-0.75,
-0.25,
-1,
-1,
-1,
-0.75,
-1,
-1,
2.75,
-0.75,
-1,
-0.5,
-0.75,
0.75,
-0.25,
0.25,
-3,
1.75,
0.75,
1,
-1.25
] | 0.897762 | [
4.5847965068196375e-9,
-0.047144458058862276,
1.958412113975725e-8,
-0.5570436665027615,
-6.440595128275094e-8,
-5.3799991138860575e-8,
1.5707963359197723,
1.5707963772985278,
-1.5707963090253823,
1.5707963669799336,
1.570796306035255,
-1.570796301813503
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 287 |
-9113301954828505956 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4], [0, 6], [8, 5], [0, 3], [1, 5, 6], [0, 2, 7], [8, 1, 7], [2, 3, 5], [0, 5], [1, 2], [8, 6], [4, 6, 7], [2, 5, 7], [0, 1], [1, 3, 7], [8, 3], [1, 4, 6]]} | {"states": [238, 174], "expectation_value": -1.4196251778620028, "params": [0.7253000000000001, 0.1526, 0.5644, 0.006, 0.8047000000000001, -0.0444, 0.8016000000000001, 0.0076, 0.7993, 0.0682, 0.7906000000000001, 0.0021000000000000003, 0.8009000000000001, -0.0441, 0.7988000000000001, 0.0039000000000000003, 0.7951, 0.092... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.1666666666666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-6.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.833333333333333, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.6063269705677568) q[3];
cx q[4], q[3];
cx q[3], q[0];
rz(0.6063269705677568) q[0];
cx q[3], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.21232681634460354) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZIII",
"IIIIIZIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIZIZIII",
"IIIZIIIIZ",
"IIZZIIIII",
"ZIIZIIIII",
"IIIIZIIZI",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIZIIIIZI",
"ZIIIIIIZI",
"IIIZIIIZI",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIZIIZII",
"IIIIIIZZI",
"IZIIZIIII",
"... | [
0.5,
0.5,
0.3333333333333333,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.1... | 0.423647 | [
0.6063269705677568,
0.21232681634460354,
-0.08303660214714992,
0.06861229491151412,
1.490591349272314,
-0.8512862194047678
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -6.166666666666667,
"target_ratio": 0.97,
"target_value": -5.9816666666666665
} | 168 |
5a8eac0760a558d4174437be478ec0aa | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [10, 21], "expectation_value": -0.2688174334246034, "params": [[0.0509, 0.0519, 0.0684, 0.07400000000000001], [-0.0473, -0.033, -0.0453, -0.0538]], "bitstrings": ["10101", "01010"], "total_optimization_steps": 10, "probabilities": [0.04284618236403723, 0.04652056182424413], "optimization_time": 3.19146108627... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["01010"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.82536574049687) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.24273634073259914) q[1];
h q[2];
h q[3];
ry(-0.24273634073259914) q[3];
cx q[2], q[3];
ry(0.24273634073259914) q[3];
cx q[2], q[3];
ry(1.300380278656536) q[2];
ry(-0.845563361950822) q[3];
h q[4];
cx q[4], q[1];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] ... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0,
0
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
-0.5677464941140427,
-0.3011043768554298,
0.6740485844110712,
1.8584456786071313,
-0.3550392547384828,
-0.049666130392177224,
0.1283809090165161,
0.14940958954842865,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
fd959b015d7c5b50b2cd05831ed95a60 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [219, 122], "expectation_value": -43.5964027719992, "params": null, "bitstrings": ["00100100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.13386896449906283, 0.3013653293628955], "optimization_time": 157.08980178833008} | 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(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "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];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) q[2];... | null | {"matching": "perfect", "extra": "{\"n\": 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(-3.4097) 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",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"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,
17,
11,
12,
20,
12.5,
4,
17.5,
5
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
5fcc80649738bc6ebb5e6ed34bbe4c7e | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [233, 218], "expectation_value": -51.83025940389548, "params": null, "bitstrings": ["100010110", "100100101"], "total_optimization_steps": 100, "probabilities": [0.05386737886444366, 0.32813936282799694], "optimization_time": 176.2348394393921} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 191.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(0.010140391540180461) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(0.010140391540180461) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.010140391540180461) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(0.010140391540180461) q[2];
c... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-7.2777) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
9.5,
19,
20.5,
19,
5,
16,
0.5,
22.5,
7
] | 0.970303 | [
0.010140391540180461,
-0.8817694782888895,
1.3155263900677148,
1.4508759433310259,
-0.8101524928797088,
1.3137525011632658,
-1.6824904086684709,
1.3585931394344348,
-1.481841102148397,
-1.6431853813891013,
0.03533870379598659,
-0.15660633617743086,
-1.9455151141205964,
-0.885918599559516,
... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -93,
"target_ratio": 0.97,
"target_value": -90.21
} | 76 |
d576b64149ed4af7fd9893f4ff01f3b9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, ... | {"states": [65, 1], "expectation_value": -0.2517014686003162, "params": [[-0.0417, 0.07390000000000001], [0.0661, -0.0489]], "bitstrings": ["10111110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.004968256669861505, 0.00505019571446422], "optimization_time": 2.949645757675171} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -0.25 * Z(4) + 1.5 * Z(7) + -1.0 * Z(5) + ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["10111110", "11111110"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.06203454328157315) q[0];
rz(1.7887330621738506) q[0];
rx(0.22753164172954793) q[1];
rz(1.5181402961268304) q[1];
rx(-0.16557256063745113) q[2];
rz(1.758778103001907) q[2];
rx(0.0833675557820221) q[3];
rz(1.780349234902019) q[3];
rx(-0.11709564333793254) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIIIZ",
"IIZIZIII",
"IIZIIIZI",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII"
] | [
-0.25,
-0.75,
-0.25,
-0.75,
1.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
0,
-0.25,
0.25,
-0.25,
1.5,
-1,
0.5,
-0.75
] | 0.971621 | [
0.06203454328157315,
0.21793673537895467,
0.22753164172954798,
-0.05265603066806612,
-0.16557256063745113,
0.18798177620701023,
0.0833675557820221,
0.20955290810712235,
-0.11709564333793253,
0.3585331632266594,
-0.14002182277844039,
0.5406853858436055,
-0.026565483873495943,
0.331897582781... | {
"n_parameters": 86,
"n_qubits": 8,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 8 |
d5141e120f90f429ecf4d4dba0d0fe25 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 14, "source": 0, "target": 2}, {"weight": 20, "source": 1, "ta... | {"states": [486, 244], "expectation_value": -23.534915286223733, "params": [[-0.0195, -0.0165, 0.0004], [0.0422, 0.0632, 0.0654]], "bitstrings": ["000011001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.0065316014741511035, 0.008145922682643345], "optimization_time": 5.543764352798462} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 16.0 * Z(1) + 14.0 * Z(0) + 13.5 *... | 1 | 9 | 3 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 155.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0357441524412547) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.0357441524412547) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0357441524412547) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.0357441524412547) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZZIIIII",
"IZIIZIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16,
14,
13.5,
19,
11.5,
9,
9.5,
0.5,
4
] | 0.970911 | [
-0.0357441524412547,
-1.3243738863478043,
0.20067037682180963,
-1.4627485553969521,
-1.3659985365122655,
-1.1931886195985468,
0.38743448584587753,
-1.2966974164736471,
1.2801504036576643,
0.9174965296837271,
0.749051589337997,
0.00805940144664026,
-0.3813827101871313,
1.0035341088991097,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -73.5,
"target_ratio": 0.97,
"target_value": -71.295
} | 88 |
0541faf635a6399f550a5b5935bfa17a | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [5, 33], "expectation_value": -3.9741067800335346, "params": null, "bitstrings": ["111010", "011110"], "total_optimization_steps": 17, "probabilities": [0.07397901535986358, 0.9005745124138398], "optimization_time": 12.064839601516724} | 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(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["010111", "111010", "111001", "100111", "011110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2586347423333518) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.2586347423333518) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2586347423333518) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.2586347423333518) q[2];
cx q[3], q[2];
rz... | 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",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZZIIII",
"IIZZII",
"IZIZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.849143 | [
0.2586347423333518,
-0.9522193741903392,
-0.4483492681819256,
-1.0023321824572908,
0.8794944450881496,
-1.7734914868935794,
-1.1441282434786142,
-0.46313879118016416
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 241 |
71e10f6a07412051601a17c1aaab540b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target":... | {"states": [0, 127], "expectation_value": -7.229925536876585, "params": [-0.0018000000000000002, 1.3381, -0.0016, 0.0059, -0.0014, 1.3345, -0.0013000000000000002, 0.0082, 0.6868000000000001, 0.0369, -0.6396000000000001, 0.0045000000000000005, -0.7978000000000001, 0.1254, 0.7314, 0.0056, 0.8056000000000001, 0.2129, 0.21... | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) | 6 | 9 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["110000000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.11539307161681123) q[0];
rz(2.5062727491177625) q[0];
rx(-0.2874388969975214) q[1];
rz(2.308454114164366) q[1];
rx(-0.3895783997304033) q[2];
rz(2.2561470989799624) q[2];
rx(0.7810191516175832) q[3];
rz(0.8349189773722605) q[3];
rx(0.3333061869049751) q[4];
rz(2.13... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1.5,
-1,
-1.5,
-1.5,
0.5,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.966399 | [
0.11539307161681124,
0.9354764223228655,
-0.28743889699752134,
0.7376577873694696,
-0.38957839973040326,
0.6853507721850662,
0.7810191516175833,
-0.7358773494226359,
0.3333061869049751,
0.5615073201363684,
1.3622728811037845,
0.10349052483294895,
0.40126583881121597,
-0.14272101481556024,
... | {
"n_parameters": 179,
"n_qubits": 9,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 500 |
f4866d34fc4832d3ba3211e9f23410a9 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 3}, {"weight": 8, "source... | {"states": [440, 312], "expectation_value": -22.14418626068953, "params": [[[0.8036000000000001, -0.0033], [0.7731, 0.0204], [0.0041, 0.40390000000000004], [0.8062, 0.003], [0.8071, -0.0021000000000000003], [0.8065, 0.0028], [0.5859, 0.0937], [0.7195, -0.0345], [0.0031000000000000003, 0.49310000000000004]], [[0.7977000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 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(1)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -9.5 *... | 1 | 9 | 2 | {"smallest_eigenvalues": [-62.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["011000111"], "largest_eigenvalue": 77.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0077842888156029345) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.0077842888156029345) q[2];
cx q[0], q[2];
rz(-1.4012324936476928) q[0];
rx(-1.6022278951510165) q[0];
h q[3];
cx q[2], q[3];
rz(-0.0077842888156029345) q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-1,
-0.5,
-9.5,
6,
5,
2,
-3,
-1,
-10
] | 0.970901 | [
-0.0077842888156029345,
1.5980764235390623,
-1.401232493647693,
1.7151950705552013,
4.454033071216039,
1.4732084922386033,
1.6990564055392747,
0.99659235501385,
-1.616279104785361,
-1.965619307031236,
-1.6022278951510165
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 61 |
422319ba04d136ad73513dac1d0065c7 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [1789, 1653], "expectation_value": -8.112063966634103, "params": [[-0.1562, -0.09970000000000001], [0.17300000000000001, 0.1696]], "bitstrings": ["100100000010", "100110001010"], "total_optimization_steps": 20, "probabilities": [0.0029888375752868124, 0.0029888375752868132], "optimization_time": 7.2903454303... | -1.0 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * ... | 1 | 12 | 2 | {"smallest_eigenvalues": [-12.875, -12.875, -12.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.625, "smallest_bitstrings": ["100110001010", "100100011000", "100100000010"], "largest_eigenvalue": 29.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.5166574351848524) q[0];
rz(1.427206026017565) q[0];
rx(0.6652927820984921) q[1];
rz(1.6153204929972311) q[1];
rx(2.5306334617267017) q[2];
rz(1.1988742149468248) q[2];
rx(-0.008157283247904035) q[3];
rz(1.0151177535238425) q[3];
rx(1.154890385314211) q[4];
rz(1.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIIIZIIII",
"IIIIIIZZIIII",
"IIIZIIZIIIII",
"IIIIIZIZIIII",
"IIIZIZIIIIII",
"IIIIIZZIIIII",
"IIIIZIIZIIII",
"IIIZZIIIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIIIZIIIZ",
"IIIZIIIIIIIZ",
"IIZIIIIZIIII",
"IIZZIIIIIIII",
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIZI... | [
-1,
0.5,
-0.5,
0.5,
-0.5,
1,
0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.375,
1,
-1,
4,
4,
1.5,
-0.625,
3,
0.5,
2.25,
2.25,
0.5,
-0.125
] | 0.971317 | [
-0.5166574351848524,
-0.14359030077733115,
0.6652927820984921,
0.044524166202335104,
2.5306334617267017,
-0.3719221118480718,
-0.008157283247904035,
-0.5556785732710541,
1.1548903853142112,
0.15156788401350937,
1.981656772672947,
-0.14850940033601542,
1.1883051429482772,
-0.061917510887196... | {
"n_parameters": 57,
"n_qubits": 12,
"optimal_eigenvalue": -12.875,
"target_ratio": 0.97,
"target_value": -12.48875
} | 97 |
dddd2c6c503a97ade6b445e6815c4f85 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [0, 1], "expectation_value": -15.339588681646857, "params": [0.0049, 0.26830000000000004, 0.0021000000000000003, 0.23650000000000002, -0.0016, 0.2396, 0.003, 0.3042, 0.0009000000000000001, -0.2822, 0.0014, 0.31930000000000003, 0.4055, -0.0001, -0.0018000000000000002, 0.2371, 0.0054, 0.3032, 0.0079, 0.2714000... | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 3 | 7 | 4 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.3835829982735985) q[0];
h q[1];
ry(-0.23054234387346784) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.6609807137639119) q[3];
h q[4];
ry(-1.6609807137639119) q[4];
h q[5];
h q[6];
ry(1.5858095443127922) q[6];
cx q[6], q[0];
ry(0.3835829982735985) q[0];
cx q[6], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIZIZI",
"IIZIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
-1.5,
-1,
-1,
-0.5,
-1.5,
-1,
-0.5,
-1.25,
-1.5,
-0.5,
-0.75,
4.25,
-0.25,
-4.5,
-0.25,
1,
-0.5,
0,
0.25,
4
] | 0.980551 | [
-1.4098882403195747,
1.5858095443127922,
-0.767165996547197,
-0.5539265111555969,
0.13926851479629185,
-0.11045327377191261,
-0.34994570639390055,
-1.6609807137639119,
-0.0033508676810675153,
-0.2813424644813915,
1.1199313195889984,
1.411419348927798,
-0.0019517279154879635,
0.706605540424... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 23 |
b0781d2a7698d63ad5627ee31af2626b | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [96, 100], "expectation_value": -5.877337511546985, "params": [0.078, -0.0959, 0.0926, -0.0563, 0.3, 0.0029000000000000002, 0.2973, -0.0031000000000000003, 0.3062, -0.0036000000000000003, 0.307, -0.0029000000000000002, 0.12190000000000001, 0.009000000000000001, 0.10840000000000001, -0.0038, 0.2296, 0.0431, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 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(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) ... | 6 | 8 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["10011011", "11010011"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.0018411102749637878) q[0];
rz(-0.2913394671489602) q[0];
rx(0.9082484024243718) q[1];
rz(0.037794930654828196) q[1];
rx(0.9082484024243715) q[2];
rz(-0.06929438372767738) q[2];
rx(0.04916603476184296) q[3];
rz(0.6409090925612415) q[3];
rx(0.1099601280827831) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IIIZIIZI",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZIZI",
"ZIIZIIII",
"ZIZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIZII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-2,
-1.5,
-2,
-1,
-2,
-1.5
] | 0.970832 | [
-0.0018411102749637878,
-0.06387897543962608,
0.9082484024243717,
-0.1873728833233766,
-0.011042101624286298,
0.04916603476184296,
0.6474199364230686,
0.1099601280827831,
0.3107104305957481,
0.7051453352057985,
0.05359677846684344,
0.09155280853698433,
0.00788102690820526,
0.11816410220764... | {
"n_parameters": 77,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 9 |
7895815311101418911 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[4, 6, 7], [8, 2], [3, 5], [0, 5], [1, 2], [9, 4, 5], [0, 2, 6, 9, 10], [3, 6, 7, 9, 10], [8, 1, 9, 7], [1, 5, 6, 8, 10], [1, 10, 5, 7], [2, 4], [8, 9, 3, 4], [8, 1, 5, 7], [8, 3, 7], [1, 3, 7], [0, 3, 6, 8, 10]]} | {"states": [1895, 1899], "expectation_value": -4.622198260752887, "params": [2.1025, 1.0364, 1.6595, 1.4529, 1.4343000000000001, 1.7084000000000001, -0.0012000000000000001, -0.0048000000000000004, 1.2255, 1.1801000000000001, 1.1709, 1.9308, 0.002, -0.0077, 0.8755000000000001, 0.9421, 2.1818, 1.2794, 1.6107, 1.805400000... | 0.16666666666666666 * (Z(5) @ Z(7)) + 0.21666666666666667 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.1 * (Z(9) @ Z(7)) + 0.08333333333333333 * (Z(9) @ Z(5)) + 0.3333333333333333 * (Z(9) @ Z(8)) + 0.05 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(9)) + 0.1 * (Z(4) @ Z(7)) + 0.08333333333333333 ... | 14 | 11 | 1 | {"smallest_eigenvalues": [-5.016666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.883333333333334, "smallest_bitstrings": ["00010010100"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(2.214749521906895) q[0];
rz(pi/2) q[0];
ry(1.277791880639453) q[1];
ry(1.4286454862611868) q[2];
ry(-0.012121321713081785) q[3];
ry(1.3663294902466374) q[4];
ry(1.41730390892671) q[5];
ry(-0.2398923634061903) q[6];
ry(1.7247845443416074) q[7];
ry(2.023421676446117) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIZIZIIIII",
"IIZZIIIIIII",
"IIZIIZIIIII",
"IZIZIIIIIII",
"IZIIIZIIIII",
"IZZIIIIIIII",
"IIIZIIIZIII",
"IIIIIZIZIII",
"IZIIIIIZIII",
"IIIZIIZIIII",
"IIIIIZZIIII",
"IIZIIIZIIII",
"IZIIIIZIIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IIZIZIIIIII",
"IZIIZIIIIII",
"IIIIZIZIIII",
"IIIZIIIII... | [
0.16666666666666666,
0.21666666666666667,
0.16666666666666666,
0.1,
0.08333333333333333,
0.3333333333333333,
0.05,
0.5,
0.5,
0.1,
0.08333333333333333,
0.3833333333333333,
0.3,
0.05,
0.16666666666666666,
0.16666666666666666,
0.13333333333333333,
0.5,
0.1,
0.05,
0.05,
0.05,
... | 0.973278 | [
2.214749521906895,
1.277791880639453,
1.4286454862611868,
-0.012121321713081785,
1.3663294902466374,
1.41730390892671,
-0.2398923634061903,
1.7247845443416074,
2.023421676446117,
1.7814283883803101,
1.6252686303367536,
0.09864772909039304,
0.8833440323827413,
-0.953401000172131,
0.943925... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -5.016666666666667,
"target_ratio": 0.97,
"target_value": -4.8661666666666665
} | 26 |
11576eab70c2ec583415b5e8bd58f9e2 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [7, 13], "expectation_value": -3.2222145398145288, "params": [[0.0673, 0.0726], [-0.0668, -0.0742]], "bitstrings": ["111000", "110010"], "total_optimization_steps": 10, "probabilities": [0.029561332881349975, 0.030102389517254767], "optimization_time": 3.663677930831909} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 18 | 6 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) 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] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
-0.75,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
-7746930730195096535 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 3, 1, 7], [9, 4], [0, 8], [2, 3], [5, 7], [9, 6]]} | {"states": [327, 71], "expectation_value": -2.074328214087673, "params": [0.7689, -0.005, 0.0689, 0.0006000000000000001, 1.2069, 0.2469, 1.1966, 0.0007, 1.1748, 0.0434, -0.0181, 0.0092, 1.2043000000000001, 0.0961, 1.0699, 0.0067, 1.1525, 0.0911, -0.0119, 0.003, 1.1433, 0.0747, -0.0137, 0.0037, 1.1834, 0.0732, -0.0123, ... | 0.08333333333333333 * (Z(9) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(9)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(9)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-2.75, -2.75, -2.75, -2.75, -2.75, -2.75, -2.75, -2.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.666666666666667, "smallest_bitstrings": ["0010101110", "1010101100", "0010010011", "1010010001", "1001111000", "1110111000", "0110111010", "0001111010"], "largest_eigenvalue... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.08642412349842535) q[0];
rz(2.074267570496705) q[0];
rx(2.7069430129612777) q[1];
rz(2.8926520913258553) q[1];
rx(0.1361239199057085) q[2];
rz(2.042444983388058) q[2];
rx(1.61276702901277) q[3];
rz(1.6150417651790763) q[3];
rx(0.5945266493979939) q[4];
rz(1.81271... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZIII",
"IIIIIIZIZI",
"ZIIIIIIIZI",
"IIZIIIZIII",
"ZIZIIIIIII",
"IIZIIIIIZI",
"ZIIIIZIIII",
"IZIIIIIIIZ",
"IIIIIIZZII",
"IIZIZIIIII",
"ZIIZIIIIII",
"IIIIIIZIII",
"ZIIIIIIIII",
"IIIIIIIIZI",
"IIZIIIIIII",
"IIIIIZIIII",
"IZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIZIIIII"... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0,
0,
0,
0,
0,
0
] | 0.970288 | [
-0.08642412349842533,
0.5034712437018082,
2.7069430129612777,
1.3218557645309585,
0.1361239199057085,
0.4716486565931612,
1.61276702901277,
0.04424543838417967,
0.5945266493979939,
0.2419206424551818,
0.0249423184174092,
0.14246124662495852,
1.2056308916536997,
0.009032320956949247,
1.99... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 163 |
80032f1ea74142841bf5bf4c4cd845e4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [205, 333], "expectation_value": -113.42132098971442, "params": [-0.0021000000000000003, 0.1637, -0.0015, -0.7492000000000001, 0.6729, 0.3759, 0.6941, -0.2943, 0.7858, 0.09620000000000001, -0.0025, 0.5922000000000001, 0.0028, -0.7405, 0.7844, -0.0016, 0.8628, 0.1652, 0.0015, 0.9025000000000001, 0.83090000000... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(0) @ Z(4)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(10) @ Z(4)) + 7.5 * (Z(10) @ Z(0)) + 7.5 * (Z(10) @ Z(9)) + 1.5 * Z(3) + -1.0 * Z(2) + 13.5 * Z(4) + 4.5 * Z(0) + -3.5 * Z(5) + 17.5 * ... | 18 | 11 | 4 | {"smallest_eigenvalues": [-118.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.5, "smallest_bitstrings": ["11010110010"], "largest_eigenvalue": 161.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.0014549632163595172) q[0];
rz(0.409206214433814) q[0];
rx(-0.17302929819032958) q[1];
rz(-0.6227842551160848) q[1];
rx(1.1339791985583512) q[2];
rz(0.28298027250759716) q[2];
rx(0.552046336073974) q[3];
rz(-0.3523597394285249) q[3];
rx(0.6132463856427702) 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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZII",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IIZIIIIZIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IZIZIIIIIII",
"ZIIIIIZIIII",
"ZIIIIIIIIIZ",
"ZZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IIZIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
1.5,
-1,
13.5,
4.5,
-3.5,
17.5,
0.5,
13,
3.5,
16,
-13.5
] | 0.972184 | [
0.0014549632163595172,
0.13921465353907198,
-0.17302929819032958,
-0.6227842551160848,
1.1339791985583512,
0.28298027250759716,
0.552046336073974,
-0.3523597394285249,
0.6132463856427702,
0.1441052115000341,
0.20668965163254338,
0.4534723931642408,
-0.17883462099575298,
-0.5455955486672882... | {
"n_parameters": 127,
"n_qubits": 11,
"optimal_eigenvalue": -118.5,
"target_ratio": 0.97,
"target_value": -114.945
} | 10 |
69144809aea48cb46eae9c3950f24a15 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [166, 165], "expectation_value": -0.570587335211, "params": [0.5940000000000001, 0.0034000000000000002, 0.598, -0.0029000000000000002, 0.1966, -0.1066, 0.2097, -0.11, 0.5748, 0.0031000000000000003, 0.5743, -0.0023, 0.1443, -0.1269, 0.138, -0.1501, 0.5716, -0.0979, 0.5625, -0.028, 0.5965, -0.0212, 0.599, 0.04... | 0.25 * (Z(0) @ Z(1)) + -0.0027777777777777783 * (Z(2) @ Z(0)) + -0.0027777777777777783 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.001388888888888889 * (Z(4) @ Z(0)) + 0.0006944444444444445 * (Z(4) @ Z(2)) + 0.001388888888888889 * (Z(5) @ Z(1)) + 0.0006944444444444445 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00138888... | 6 | 8 | 2 | {"smallest_eigenvalues": [-1.015277777777778], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0152777777777775, "smallest_bitstrings": ["01011010"], "largest_eigenvalue": 1.0180555555555555} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
0.25,
-0.0027777777777777783,
-0.0027777777777777783,
0.25,
0.001388888888888889,
0.0006944444444444445,
0.001388888888888889,
0.0006944444444444445,
0.25,
-0.0013888888888888892,
0.001388888888888889,
-0.0027777777777777783,
-0.0013888888888888892,
0.001388888888888889,
-0.0027777777777... | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
678308485f35da941d402fc5065b7236 | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [2044, 2047], "expectation_value": -16.016404876813887, "params": null, "bitstrings": ["00000000011", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.11000670116301114, 0.3295186979908406], "optimization_time": 220.25077152252197} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 1.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + 1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-20.5, -20.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.5, "smallest_bitstrings": ["00000000000", "11000000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.5481103524397535) q[0];
rz(-3.103331799771918) q[0];
rx(1.560093255132442) q[1];
rz(3.1310534440691393) q[1];
rx(-1.619022593658862) q[2];
rz(-2.672828630801667) q[2];
rx(-2.7656637140768288) q[3];
rz(-3.0074535280519985) q[3];
rx(-1.9190737033754e-05) q[4];
rz(-2... | null | {"node": 0} | {"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(1.5706) q[2], 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[... | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIIZIZIII",
"IIIIIZIIZII",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIII... | [
-1.5,
-2,
-2,
-2,
1,
-2,
-2,
-1.5,
-1.5,
-1.5,
-1,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.930405 | [
1.5481103524397537,
1.6090571806127716,
1.5600932551324418,
1.560257117274243,
-1.619022593658862,
2.039560349583023,
-2.7656637140768288,
1.7049354523326916,
-0.000019190737033754,
1.9340141348648183,
-0.004259667670823433,
2.138417289127366,
2.580235801148031,
2.9501187589762066,
1.406... | {
"n_parameters": 47,
"n_qubits": 11,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 500 |
6120327897732656255 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [0, 2], [0, 1, 3, 5], [0, 1, 4, 5], [2, 3, 5, 6]]} | {"states": [78, 79], "expectation_value": -1.6590737900105874, "params": null, "bitstrings": ["0110001", "0110000"], "total_optimization_steps": 40, "probabilities": [0.13384655561816902, 0.7998899476972473], "optimization_time": 53.121176958084106} | 0.5 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.7500000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["0110000"], "largest_eigenvalue": 3.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.1425552343983993) q[0];
h q[1];
ry(-0.3068497708800787) q[1];
h q[2];
ry(-0.20155814865033414) q[2];
h q[3];
ry(0.2950533458281137) q[3];
h q[4];
cx q[4], q[2];
ry(0.20155814865033414) q[2];
cx q[4], q[2];
ry(-0.2530738982868276) q[2];
cx q[0], q[2];
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(1.3016) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIZIZII",
"IIZIIIZ",
"IIIIZIZ",
"IIZIIZI",
"IIIIIZZ",
"IIIZZII",
"IIIZIIZ",
"IIIZIZI",
"IZZIIII",
"IZIIZII",
"IZIIIIZ",
"IZIIIZI",
"IZIZIII",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"IIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.0... | 0.980396 | [
1.1701104070076718,
-0.4031162973006683,
1.1425552343983993,
-0.5061477965736552,
1.2460187267762546,
-0.6575370606705463,
0.5079244441985774,
0.3041673904411097,
-0.6136995417601574,
0.5901066916562274,
-0.46176453897145836,
0.5103805157684392,
-0.04552832773165473,
-0.30543635902897814,
... | {
"n_parameters": 34,
"n_qubits": 7,
"optimal_eigenvalue": -1.7500000000000002,
"target_ratio": 0.97,
"target_value": -1.6975000000000002
} | 13 |
-8865041839401238467 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 2], [0, 2, 6], [2, 5, 7], [8, 1, 3], [0, 8, 5, 6], [9, 5, 6, 7], [9, 2], [0, 1, 3, 7], [8, 9, 6], [2, 5, 6], [1, 4]]} | {"states": [799, 791], "expectation_value": -3.0868068960766983, "params": [1.6838000000000002, 0.049, 1.4812, 0.0063, 1.6702000000000001, 0.0395, 1.5801, 0.0039000000000000003, 0.3936, 0.0146, -0.0514, 0.0016, 0.6601, -0.0673, 0.27740000000000004, 0.0071, 0.6589, 0.0329, -0.46940000000000004, 0.0098, 1.6726, 0.0461, 1... | 0.5 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(8)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(8)) + 0.25 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5)... | 6 | 10 | 1 | {"smallest_eigenvalues": [-3.2500000000000004, -3.2500000000000004], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0833333333333335, "smallest_bitstrings": ["0110001000", "0011101000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.5248543431423398) q[0];
rz(1.5777824832407852) q[0];
rx(1.3340515205550447) q[1];
rz(1.7629944203287806) q[1];
rx(0.150287537325178) q[2];
rz(1.6559150387869872) q[2];
rx(0.38542143927013034) q[3];
rz(1.3838795066354468) q[3];
rx(0.540397907055339) q[4];
rz(1.7035... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IZIIIIIZII",
"IIIIIIIZIZ",
"IZIIIIIIIZ",
"IIIZIIIZII",
"IZIZIIIIII",
"IIIZIIIIIZ",
"IIIIZIIZII",
"IZIIZIIIII",
"IIIIZIIIIZ",
"IIIZZIIIII",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIIIIIIZI",
"IIIIIIIIZZ",
"IIZIIIIIZI",
"IZIIIIZIII",
"IIIIIIZIIZ",
"IIZIIIZIII"... | [
0.5,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.25,
0.25,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.0833333333... | 0.970354 | [
1.52485434314234,
0.006986156445889145,
1.3340515205550447,
0.19219809353388417,
0.150287537325178,
0.08511871199209069,
0.38542143927013034,
-0.18691682015944966,
0.5403979070553391,
0.1327511561281432,
1.4998017161206931,
0.039447226068247555,
1.2048782103765123,
-0.9258399824947051,
2... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -3.2500000000000004,
"target_ratio": 0.97,
"target_value": -3.1525000000000003
} | 100 |
7506521506737851335 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 6, 8], [0, 3, 5, 6, 7], [0, 2, 4], [8, 5, 6, 7], [3, 4, 5, 7], [0, 2, 6, 7, 8], [2, 4, 5], [1, 3, 6, 7, 8], [2, 3], [8, 1, 4], [0, 3, 4, 5, 6], [8, 0, 5, 7], [0, 3, 4, 6, 8], [0, 3, 4, 6, 7], [1, 4, 6, 7]]} | {"states": [463, 317], "expectation_value": -2.2295172547348385, "params": [[0.3613], [-0.36200000000000004]], "bitstrings": ["000110000", "011000010"], "total_optimization_steps": 40, "probabilities": [0.009093540123294767, 0.009197712906654505], "optimization_time": 2.4485585689544678} | 0.05 * (Z(0) @ Z(1)) + 0.1 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.3 * (Z(6) @ Z(0)) + 0.3 * (Z(6) @ Z(3)) + 0.26666666666666666 * (Z(8) @ Z(1)) + 0.23333333333333334 * (Z(8) @ Z(0)) + 0.15000000000000002 * (Z(8) @ Z(3)) + 0.2833333333333333 * (Z(8) @ Z(6)) + 0.18333333333333335... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.4166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.400000000000001, "smallest_bitstrings": ["011000010"], "largest_eigenvalue": 14.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-0.5192576297629977) q[1];
h q[2];
ry(-0.44931254795902725) q[2];
h q[3];
cx q[3], q[2];
ry(0.44931254795902725) q[2];
cx q[3], q[2];
ry(-0.17332375765086433) q[2];
ry(1.023865429710492) q[3];
h q[4];
ry(1.5213812115128202) q[4];
cx q[4], q[2];
ry(0.1... | 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",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIZZIIIII",
"ZIIZIIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIZIII",
"IZZIIIIII",
"ZZIIIIIII",
"IZIZIIIII",
"IIIIIIZIZ",
"... | [
0.05,
0.1,
0.25,
0.18333333333333335,
0.3,
0.3,
0.26666666666666666,
0.23333333333333334,
0.15000000000000002,
0.2833333333333333,
0.18333333333333335,
0.18333333333333335,
0.18333333333333335,
0.16666666666666666,
0.13333333333333333,
0.23333333333333334,
0.23333333333333334,
0.36... | 0.979171 | [
1.5213812115128202,
1.549038974424996,
1.1503193809055765,
-0.8986250959180545,
0.7404640268661018,
-1.0385152595259954,
-0.34664751530172866,
0.5668028056887803,
-0.30220842066445563,
-0.5428832747106936,
0.6838629773549143,
-0.6565084555070129,
0.47671205892770563,
-0.4241050012376244,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.4166666666666665,
"target_ratio": 0.97,
"target_value": -3.3141666666666665
} | 1 |
787e0bfd359c5676c8eb0120a2f9dd29 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [621, 613], "expectation_value": -62.772675045186695, "params": [[[0.9888, 0.2207], [1.0063, 0.3875], [-0.054, 0.3013], [-0.6048, 0.8369000000000001], [0.49200000000000005, 0.9841000000000001], [0.3526, 0.34940000000000004], [0.1711, 1.0016], [-0.7873, 0.5997], [-0.01, 1.0050000000000001], [0.386, 0.5682], [... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(2) @ Z(5)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(10) @ Z(0)) + 6.5 * (Z(10) @ Z(4)) + 6.5 * (Z(9) @ Z(10)) + 7.5 * Z(0) + 5.5 * Z(1) + -3.0 * Z(3) + 14.5 * Z(5) +... | 15 | 11 | 2 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.5, "smallest_bitstrings": ["10110011010"], "largest_eigenvalue": 140.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.14215421404461756) q[0];
rz(0.8139943275358608) q[0];
rx(1.079457296611718) q[1];
rz(-0.02484267868208096) q[1];
rx(-0.0004870497978071153) q[2];
rz(0.6481313275563876) q[2];
rx(0.008723437348794424) q[3];
rz(0.6941235767926703) q[3];
rx(1.1844411043550624) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIZIIZII",
"IIIIZZIIIII",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"ZIIIIIIIIIZ",
"ZIIIIIZIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIIIZII",
"IIIIZIIIIII",
"IIIIIIZII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
7.5,
5.5,
-3,
14.5,
-3.5,
7,
22,
7.5,
-5,
12,
-2
] | 0.973253 | [
0.14215421404461756,
0.6049860008608928,
1.079457296611718,
-0.02484267868208096,
-0.0004870497978071153,
0.6481313275563876,
0.008723437348794424,
0.6941235767926703,
1.1844411043550624,
1.0261287786739726,
0.09990357971838153,
0.29738152469111323,
0.3031967126568075,
-0.09195684283726506... | {
"n_parameters": 95,
"n_qubits": 11,
"optimal_eigenvalue": -112.5,
"target_ratio": 0.97,
"target_value": -109.125
} | 13 |
-873254663262147330 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 6], [2, 3], [0, 6], [4, 6], [1, 4], [6, 7]]} | {"states": [106, 98], "expectation_value": -0.4251929636729155, "params": [0.6973, -0.048400000000000006, 0.5558000000000001, 0.0016, 0.7112, 0.027200000000000002, 0.7087, 0.0016, 0.7068, 0.026500000000000003, 0.6979000000000001, 0.007, 0.6980000000000001, -0.021, 0.6619, 0.0006000000000000001, 0.6993, -0.0862, 0.6409,... | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(7) | 6 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["01010010", "10101101", "10011101", "01100010"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.0471975799316537) q[2];
cx q[3], q[2];
rz(-1.8747614127789802e-08) q[2];
rx(0.7853981454976604) q[2];
rz(-1.8747614127789802e-08) q[3];
rx(0.7853981454976604) q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(-1.0471975... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IZZIIIII",
"IIIIZZII",
"IZIIIIIZ",
"IZIZIIII",
"IIIZIIZI",
"ZZIIIIII",
"IZIIIIII",
"IIZIIIII",
"IIIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.541266 | [
-1.0471975799316537,
-1.8747614020874035e-8,
0.7853981454976606
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 90 |
c4fd4922d2c165ab37a0955c733d543f | 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": 4}, {"source": 2, "target": 3}, ... | {"states": [162, 166], "expectation_value": -1.2820566187345461, "params": [0.8049000000000001, -0.0007, 0.6573, -0.038700000000000005, 0.8115, -0.0035, 0.6394000000000001, -0.0738, 0.2772, -0.2726, 0.797, -0.09330000000000001, 0.8068000000000001, -0.0002, 0.002, 0.5976, 0.8082, 0.008400000000000001, 0.6499, 0.0043, 0.... | 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... | 3 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.375, "smallest_bitstrings": ["01001011", "01011001", "00011101"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.029810180010720243) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.029810180010720243) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.029810180010720243) q[2];
cx q[0], q[2];
rz(-0.06686179152681927) q[0];
rx(1.6059265917078847e-08) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIIZIIIZ",
"IIZIIIZI",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"ZZZIIIII",
"IIIZIZII",
"IZIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-0.125,
-0.125,
-0.125,
-0.125,
-0.5,
-0.25,
-0.25,
-0.75
] | 0.923664 | [
-0.029810180010720243,
0.7336274290211755,
-0.06686179152681929,
0.16955226673052048,
1.2441031931681117,
-0.7612827673018912,
0.853920074668443,
2.7115183994821614,
1.6059262359189638e-8,
0.029810161797917772,
0.837168872182548,
-1.5039345290864283,
1.4012440334331926,
0.32669311339272855... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 418 |
7f5a9dfb1e236bee4145d5b6dc87f612 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [74, 91], "expectation_value": -6.1406295786935745, "params": null, "bitstrings": ["10110101", "10100100"], "total_optimization_steps": 63, "probabilities": [0.10520568084598521, 0.7250061271220744], "optimization_time": 68.58083152770996} | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(0) @ Z(5)) + -1.0 * (Z(0) @ Z(6)) + -0.5 * Z(1) + 1.5 * Z(5) + -0.5 * Z(2) + 3.0 * Z(6) + 0.5 * Z(3) + 0.0... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10100100", "11000100"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.757060425932339) q[0];
h q[1];
ry(0.5571476883083074) q[1];
h q[2];
ry(-0.7757331894833571) q[2];
h q[3];
ry(0.5571476883083074) q[3];
h q[4];
h q[5];
cx q[5], q[1];
ry(-0.5571476883083074) q[1];
cx q[5], q[1];
ry(-0.45153744158202225) q[5];
h q[6];
ry(1.5... | null | {"source": 0, "sink": 5} | {"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(1.5709) 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[... | [
"IIZIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIIIZII",
"ZIIIZIII",
"IIIZZIII",
"ZIIZIIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIIZ"
] | [
-0.5,
0.5,
-0.5,
-1,
2,
-1,
-0.5,
0.5,
-0.5,
-0.5,
-1,
-0.5,
1.5,
-0.5,
3,
0.5,
0,
0.5,
-1.5
] | 0.970262 | [
1.551025847539175,
1.1142953766166148,
-1.514120851864678,
-0.9030748831640445,
1.0604963305167354,
1.1320609964259831,
0.4832606820012933,
-1.2695992048912437,
-1.5514663789667142,
0.7560951237958784,
0.6790527832433262,
0.2954535073205394,
0.22125758791669647,
-0.13766859132785303,
-0.... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 9 |
9e8a866d2c0011b6946d4c64e758f31c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [1398, 1382], "expectation_value": -0.00544077693912456, "params": [1.4906000000000001, 0.007500000000000001, 1.6242, 0.0038, 1.4767000000000001, 0.0026000000000000003, 1.6354000000000002, 0.0048000000000000004, 1.5547, 0.0046, 1.5947, 0.0044, 1.5826, 0.0043, 1.5617, 0.0051, 1.5117, 0.0066, 1.618, 0.0085, 1.... | 0.25 * (Z(0) @ Z(1)) + -0.000390625 * (Z(2) @ Z(0)) + -0.000390625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0009765625 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + -0.0009765625 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00087890625 * (Z(6) @ Z(0)) + -0.000390625 * (Z(6) @ Z(2)) + 0.... | 16 | 12 | 1 | {"smallest_eigenvalues": [-1.5109375000000003, -1.5109375000000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5105468749999997, "smallest_bitstrings": ["010101100110", "101010011001"], "largest_eigenvalue": 1.51328125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0097347073373075) q[0];
rz(-0.14101462084387117) q[0];
rx(-0.38750982357956676) q[1];
rz(-0.3057211553890907) q[1];
cx q[1], q[0];
rz(0.13275230381341913) q[0];
cx q[1], q[0];
rx(1.3782189303544248) q[0];
rz(-0.29267031617775396) q[0];
rz(-0.09789635874452761) 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[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.000390625,
-0.000390625,
0.25,
-0.0009765625,
-0.00078125,
-0.0009765625,
-0.00078125,
0.25,
0.00087890625,
-0.000390625,
0.0005859375000000001,
0.00087890625,
-0.000390625,
0.0005859375000000001,
0.25,
-0.0006835937500000001,
-0.000390625,
0.0005859375000000001,
-0.00... | 0.971229 | [
1.0097347073373075,
-0.008262317030451896,
-0.38750982357956676,
-0.3057211553890907,
1.2302795857067115,
-0.013592108438004277,
1.1428987618315947,
0.21610326377545203,
-0.0945257361764085,
0.05751696828617267,
1.1584777199858318,
-0.024575436526478617,
1.269911032440262,
0.08978829929159... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 20 |
-6344998954620906062 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 5], [3, 4], [2, 4], [1, 3], [0, 4], [0, 2]]} | {"states": [12, 44], "expectation_value": -1.8418766668795459, "params": null, "bitstrings": ["110011", "010011"], "total_optimization_steps": 37, "probabilities": [0.3290466044872191, 0.4816246873444518], "optimization_time": 30.615540981292725} | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["110011", "100101", "010011", "101100", "001100", "011010"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.7668300703268413) q[1];
h q[2];
h q[3];
h q[4];
ry(-0.2731847167223534) q[4];
cx q[3], q[4];
ry(0.2731847167223534) q[4];
cx q[3], q[4];
ry(-0.04452627721237015) q[4];
cx q[0], q[4];
ry(0.04452627721237015) q[4];
cx q[0], q[4];
ry(-0.36181430091057... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[3], q[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 ... | [
"ZIIZII",
"IZIZII",
"IZZIII",
"IIZIZI",
"IIIZIZ",
"IZIIIZ",
"ZIIIII",
"IIIZII",
"IZIIII",
"IIZIII",
"IIIIZI",
"IIIIIZ"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.976812 | [
-0.5463694334447068,
1.2757252918586097,
-0.7047075862414116,
-0.0890525544247403,
1.4880648069238833,
-1.5336601406536825,
-0.7236286018211424,
0.23178839298095621,
0.11073450842760946,
-0.36869917826307413,
-0.36822435128494124,
-0.6404027924684368,
0.3683112816576305,
0.0931143961978571... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 18 |
255f1dd604659bd35e94474fe8f5241d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2... | {"states": [3, 47], "expectation_value": -2.2698594446876466, "params": [[-0.14600000000000002], [0.15460000000000002]], "bitstrings": ["1111100", "1010000"], "total_optimization_steps": 20, "probabilities": [0.01971858188974151, 0.019975185921941925], "optimization_time": 2.0925776958465576} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111100", "1010000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.37039925737107354) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.47479670208545194) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.002453439771768364) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.002453439771768364) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIIZIZI",
"IIIZZII",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"ZIIIIIZ",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.75,
-0.25,
-1,
-1,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5,
-1,
-0.25,
2.25,
-1,
-0.75,
-0.25,
-0.25,
-1.75,
1,
-0.75,
1.5,
0.5
] | 0.901268 | [
-0.37039925737107354,
-0.47479670208545194,
0.002453439771768364,
0.007173938359176996,
0.28639303714208847,
-0.6771793472255276,
-0.758238898919597,
0.5277113036131329,
0.6196216232026848,
-1.587300313731966,
-0.5518085417301448,
-0.6707094486127311,
-0.0018169790026760502,
-0.12952360862... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 500 |
8790253148889747345 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4, 6], [0, 5, 6], [2, 3, 4, 6], [0, 2, 3], [3, 4, 5]]} | {"states": [125, 109], "expectation_value": -0.7822602746563814, "params": [[[2.6696, 0.0057], [1.6307, 0.0012000000000000001], [1.5539, 0.0012000000000000001], [1.9453, 0.0054], [2.6725000000000003, 0.0079], [1.5268000000000002, 0.007], [2.5496000000000003, 0.01]]], "bitstrings": ["0000010", "0010010"], "total_optimiz... | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.4166666666666665, "smallest_bitstrings": ["1000100", "0010010"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-3.265880934331335e-07) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(6.528031409580129e-08) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-3.265880934331335e-07) q[4];
cx q[1], q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(6.528031... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIZIZII",
"IIZIIZI",
"ZIIIZII",
"ZIIIIZI",
"ZIZIIII",
"IIIIZIZ",
"ZIIIIIZ",
"IZZIIII",
"ZZIIIII",
"IZIIIIZ",
"IIIZZII",
"IIZZIII",
"ZIIZIII",
"IIIZIIZ",
"IZIZIII",
"IIIIZII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII"
] | [
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.25,
0.08333333333333333,
0.16666666666666666,
0... | 0.777778 | [
-3.265880934331335e-7,
6.528031409580129e-8,
1.869133147207742e-7,
-1.5707960846192763,
1.5707957556395913,
-1.5695655734534026,
1.570796726802584,
1.5707962077837205
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 289 |
16f78d4600a63f9e28571cad22ffe3ee | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"weight": 11, "source": 2, "targ... | {"states": [231, 182], "expectation_value": -43.694755128467975, "params": null, "bitstrings": ["100011000", "101001001"], "total_optimization_steps": 100, "probabilities": [0.0839699571890289, 0.20964461840676027], "optimization_time": 156.36982798576355} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 148.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.06533991207500221) q[0];
rz(1.7673554067439534) q[0];
rx(0.22394717722886268) q[1];
rz(1.5834346747889922) q[1];
rx(0.5914177553622147) q[2];
rz(1.2988874808531223) q[2];
rx(0.7383563693045873) q[3];
rz(1.421982816396154) q[3];
rx(0.6418769613290847) q[4];
rz(1.784... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.5995) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
-4,
14.5,
4,
18,
10.5,
15,
11,
6.5
] | 0.979432 | [
0.0653399120750022,
0.196559079949057,
0.2239471772288627,
0.012638347994095411,
0.5914177553622149,
-0.27190884594177434,
0.7383563693045871,
-0.14881351039874235,
0.6418769613290847,
0.21384660442009046,
0.8641840268522056,
0.23059727903605726,
0.11989875580688164,
-0.19251224406203676,
... | {
"n_parameters": 90,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 22 |
202ee68edcd35951c01db9e082e778cb | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [49, 53], "expectation_value": -5.26794742949148, "params": [0.37570000000000003, 0.6967, 0.0936, -0.7762, 1.607, -0.0018000000000000002, 1.6063, 0.0067, -0.0017000000000000001, 0.1505, 1.5915000000000001, -0.0032, 0.8677, 0.0039000000000000003, 1.6075000000000002, 0.0095, 0.18460000000000001, -0.02650000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + -0.5 * Z(3) ... | 4 | 8 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["11001010"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14498432793706229) q[0];
rz(2.4367876135138307) q[0];
rx(0.0289399756943366) q[1];
rz(0.17878200365591423) q[1];
rx(1.0989962379413527) q[2];
rz(1.355775493491672) q[2];
rx(2.9138358026208055) q[3];
rz(2.231875483474071) q[3];
rx(0.18078085152952603) q[4];
rz(2.088... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IIIZIIZI",
"IIZIIIZI",
"IZIZIIII",
"IZIIIIZI",
"ZIIZIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIZIZII",
"IZIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-3,
-1,
-1.5,
-1.5,
-1,
-0.5
] | 0.974721 | [
0.14498432793706226,
0.8659912867189339,
0.028939975694336595,
-1.3920143231389823,
1.098996237941353,
-0.21502083330322502,
2.9138358026208055,
0.6610791566791747,
0.180780851529526,
0.5181780541730097,
3.1600747099766253,
-0.12265793162138303,
0.7836145649344516,
-0.06217965119109652,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 15 |
b10e647670f759bc4f3dd1387515cbab | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [22, 50], "expectation_value": -3.49639804156796, "params": null, "bitstrings": ["101001", "001101"], "total_optimization_steps": 23, "probabilities": [0.06635196634149224, 0.9303270202936694], "optimization_time": 25.857972383499146} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001101", "101001"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.6059590783964175) q[1];
h q[2];
ry(-1.5435690642332873) q[2];
h q[3];
ry(-0.5332571362745683) q[3];
cx q[0], q[3];
ry(0.5332571362745683) q[3];
cx q[0], q[3];
ry(0.9119014324033945) q[0];
ry(-0.6753977872976624) q[3];
h q[4];
ry(1.6059590783964175) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"ZIIZII",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-1,
0,
-0.5
] | 0.993521 | [
-1.5435690642332873,
-1.3972417071881398,
1.6059590783964175,
-1.0665142725491366,
0.6111672878365482,
-0.1119226496394643,
-0.49139838766546845,
0.6014682891336927,
-0.3679987992643881,
0.33092884969918057,
-0.19658386032209535,
0.11017040147676396,
0.21045782912511068,
-0.041443516117334... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
761a2f48ec1fa921b21db709625e853a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"sour... | {"states": [409, 401], "expectation_value": -6.145816513515987, "params": [[[0.5407000000000001, 0.0004], [0.5432, 0.0302], [-0.0016, -0.3518], [0.1502, -0.2354], [0.6047, -0.0026000000000000003], [0.5059, -0.059300000000000005], [0.0009000000000000001, -0.29960000000000003], [0.14300000000000002, -0.24130000000000001]... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["001101110", "011100110"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(2.512298121265223) q[0];
ry(2.9227600728687095) q[0];
rz(-0.32318604845433363) q[0];
rz(2.601195834046889) q[1];
ry(0.2156344881625161) q[1];
rz(-1.921673598629472) q[1];
rz(1.3567767798559007) q[2];
ry(0.17754325166890014) q[2];
rz(-1.7734645462903476) q[2];
rz(-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": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIZII",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIIIIZZI",
"IIIZIIZII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIIZIZII",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"... | [
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,
-3,
-1.5,
-1.5,
-2.5,
-1.5,
-0.5,
-1,
-1,
0
] | 0.975238 | [
1.1944177432334127,
0.09757973467115424,
-0.07902806961599904,
0.3676121201199569,
0.15194200319670118,
-0.0689657444733215,
-0.27704012326352156,
0.035773557544017946,
0.8815795746904462,
0.03531840840902695,
0.7637000732051938,
-0.225302243831552,
-0.07086737261084,
-0.30149824919591706,... | {
"n_parameters": 47,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 19 |
b426b8aff164c6823b185eb6b091738d | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 4, "target": 3}, {"source": ... | {"states": [56, 7], "expectation_value": -1.4994123015107959, "params": [[0.0658], [-0.0645]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.019350854923946063, 0.01962533979910711], "optimization_time": 1.704026460647583} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 18 | 6 | 1 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
2,
2,
1.75,
2,
2,
1.75,
2,
1.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.5
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
98ff52dd3a46eb29e6baf499c47cc739 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1,... | {"states": [417, 421], "expectation_value": -0.021608641510287144, "params": [1.4311, 0.0032, 1.6863000000000001, 0.0095, 1.6887, 0.0001, 1.4556, 0.0067, 1.7288000000000001, 0.0088, 1.3872, 0.0006000000000000001, 1.5537, 0.0002, 1.578, 0.0098, 1.393, 0.0048000000000000004, 1.7249, 0.0088, 0.0092, 0.0022, 0.0057, 0.0086... | 0.25 * (Z(0) @ Z(1)) + -0.0006944444444444446 * (Z(2) @ Z(0)) + -0.0006944444444444446 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006944444444444446 * (Z(4) @ Z(0)) + -0.0013888888888888892 * (Z(4) @ Z(2)) + -0.0006944444444444446 * (Z(5) @ Z(1)) + -0.0013888888888888892 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 3 | 10 | 1 | {"smallest_eigenvalues": [-1.261111111111112], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2611111111111115, "smallest_bitstrings": ["1001011010"], "largest_eigenvalue": 1.261111111111111} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIIZIZIIII",
"IIZIIIIIZI",
"IIZIIIZIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIZIIIIII"... | [
0.25,
-0.0006944444444444446,
-0.0006944444444444446,
0.25,
-0.0006944444444444446,
-0.0013888888888888892,
-0.0006944444444444446,
-0.0013888888888888892,
0.25,
-0.0006944444444444446,
0.0006944444444444445,
0.0006944444444444445,
-0.0006944444444444446,
0.0006944444444444445,
0.0006944... | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
3257eb74c5059c972aa1cf1f57c7841b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [11, 56], "expectation_value": -0.9044899088356991, "params": [[0.0516, 0.0629, 0.0631], [-0.0256, -0.048100000000000004, -0.0563]], "bitstrings": ["1110100", "1000111"], "total_optimization_steps": 10, "probabilities": [0.011686068754307574, 0.012130156871273664], "optimization_time": 4.357720851898193} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(5) + -0.5 * Z(6) + -1.5 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110100", "1010110", "1000111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.604794358462062) q[0];
h q[1];
ry(1.4676073177425042) q[1];
h q[2];
ry(-0.5077466166761001) q[2];
h q[3];
ry(1.4266241947204965) q[3];
h q[4];
ry(-1.604794358462062) q[4];
ry(-0.15549175033431428) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[2];
ry(0.50774661667... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"ZIIIIIZ",
"ZIIIZII",
"IIZIIZI",
"IIZIZII",
"IZZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIZIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1.5,
-1.5,
-0.5,
-1.5,
0
] | 0.998653 | [
-1.604794358462062,
-1.4553258713263464,
1.4266241947204965,
1.4676073177425042,
-1.0154932333522002,
0.6855737295491413,
-0.5831377709843016,
0.6175056371217669,
-0.38038496147893763,
0.31761360388928944,
-0.14371098723256165,
0.08004258973152818,
0.123377621009911,
0.17468612591959368,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
159369b6d44dd5ed6d0054f99b69fa7d | 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": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [911, 1023], "expectation_value": -15.119557947263214, "params": null, "bitstrings": ["0001110000", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.07935222444970225, 0.40495768742448973], "optimization_time": 227.0566601753235} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + 0.5 * Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.767103539741209) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.767103539741209) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.1395059324131687) q[1];
rx(-1.0351265956772986) q[1];
rz(-0.059546987447400786) q[2];
cx q[0], q[2];
rz(-0... | null | {"node": 2} | {"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];\ncry(1.5708) q[1], 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] = measu... | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIZZIIIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIZIIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII"... | [
-2,
-2,
0.5,
-1.5,
-1.5,
-1.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.601189 | [
-0.767103539741209,
-0.059546987447400786,
-1.1395059324131687,
-0.4999719799509475,
-1.0351265956772986
] | {
"n_parameters": 5,
"n_qubits": 10,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 160 |
7636979756302871339 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 2, 3, 5, 11, 12], [0, 1, 2, 5, 6, 9, 10, 11, 12], [0, 3, 5, 7, 8, 9, 10, 11], [8, 1, 2, 10], [4, 5], [2, 3, 6, 8, 9, 10, 11], [0, 1, 4, 8, 10], [0, 2, 4, 7, 9, 10, 11, 12], [0, 1, 3, 4, 6, 10, 11, 12], [1, 2, 3, 4, 7, 9, 11, 12], [5, 6, 7, 9, 10],... | {"states": [7503, 7375], "expectation_value": -5.311766695643219, "params": null, "bitstrings": ["0001010110000", "0001100110000"], "total_optimization_steps": 100, "probabilities": [0.06474259031290143, 0.8689603404928143], "optimization_time": 1337.795349597931} | 0.21349206349206346 * (Z(1) @ Z(2)) + 0.22182539682539681 * (Z(3) @ Z(2)) + 0.15793650793650793 * (Z(3) @ Z(1)) + 0.14285714285714285 * (Z(5) @ Z(2)) + 0.1111111111111111 * (Z(5) @ Z(1)) + 0.14682539682539683 * (Z(5) @ Z(3)) + 0.23690476190476187 * (Z(11) @ Z(2)) + 0.2218253968253968 * (Z(11) @ Z(1)) + 0.26468253968253... | 13 | 13 | 1 | {"smallest_eigenvalues": [-5.357936507936506], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.3361111111111095, "smallest_bitstrings": ["0001100110000"], "largest_eigenvalue": 26.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
ry(1.576421084701818) q[0];
h q[1];
ry(1.037513150894751) q[1];
h q[2];
ry(1.5201406399808546) q[2];
h q[3];
ry(-0.28636101182399626) q[3];
h q[4];
ry(-0.4886321838677389) q[4];
h q[5];
cx q[5], q[4];
ry(0.4886321838677389) q[4];
cx q[5], q[4];
ry(-0.2900941256... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(1.5706) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = mea... | [
"IIIIIIIIIIZZI",
"IIIIIIIIIZZII",
"IIIIIIIIIZIZI",
"IIIIIIIZIIZII",
"IIIIIIIZIIIZI",
"IIIIIIIZIZIII",
"IZIIIIIIIIZII",
"IZIIIIIIIIIZI",
"IZIIIIIIIZIII",
"IZIIIIIZIIIII",
"ZIIIIIIIIIZII",
"ZIIIIIIIIIIZI",
"ZIIIIIIIIZIII",
"ZIIIIIIZIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIIZIZ",
"IIIIIIIIIII... | [
0.21349206349206346,
0.22182539682539681,
0.15793650793650793,
0.14285714285714285,
0.1111111111111111,
0.14682539682539683,
0.23690476190476187,
0.2218253968253968,
0.2646825396825397,
0.11071428571428571,
0.24801587301587297,
0.1329365079365079,
0.18412698412698414,
0.17896825396825394,
... | 0.980639 | [
1.5756813903250402,
1.5201406399808546,
1.576421084701818,
1.1922413299365806,
1.037513150894751,
-0.9772643677354778,
0.6085064065088099,
-0.5801882512379588,
0.45571104979189286,
-0.9756086705026198,
0.8571224182005055,
-0.32577116601605866,
-0.5278873727685377,
0.43941963956698005,
-0... | {
"n_parameters": 61,
"n_qubits": 13,
"optimal_eigenvalue": -5.357936507936506,
"target_ratio": 0.97,
"target_value": -5.197198412698411
} | 1 |
-5861285360304175534 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 12], [0, 5, 6, 7, 9, 11], [0, 9, 10, 11], [0, 10, 4, 6], [1, 4, 6, 8, 9, 12], [1, 2, 3, 4, 5, 10], [0, 2, 3, 7], [1, 2, 6, 7, 8, 12], [1, 5, 8, 9, 12], [0, 3, 12, 5], [6, 9, 10, 11, 12], [3, 4, 5, 6, 11], [0, 3, 7, 10, 12], [0, 1, 2, 6], [0, 3,... | {"states": [2799, 2807], "expectation_value": -6.546972169917723, "params": [[[1.3354000000000001, 0.003, 0.0006000000000000001, 0.0027], [0.004, 0.21330000000000002, 1.5735000000000001, 0.0039000000000000003], [0.1066, 0.0034000000000000002, 0.006500000000000001, 0.0037], [0.6015, 0.003, 1.266, 0.0047], [0.95490000000... | 0.44999999999999996 * (Z(0) @ Z(1)) + 0.4333333333333333 * (Z(12) @ Z(1)) + 0.4333333333333333 * (Z(12) @ Z(0)) + 0.24999999999999997 * (Z(5) @ Z(1)) + 0.15 * (Z(5) @ Z(0)) + 0.2833333333333333 * (Z(5) @ Z(12)) + 0.3 * (Z(6) @ Z(1)) + 0.49999999999999994 * (Z(6) @ Z(0)) + 0.39999999999999997 * (Z(6) @ Z(12)) + 0.15 * (... | 12 | 13 | 1 | {"smallest_eigenvalues": [-7.699999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.466666666666668, "smallest_bitstrings": ["1010100001000"], "largest_eigenvalue": 37.99999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.18576478786088418) q[0];
rz(0.20062237679431477) q[0];
ry(-0.08860986994933501) q[1];
rz(0.3703233357425303) q[1];
cz q[1], q[0];
ry(-2.913584500278389) q[1];
ry(-0.28499093071213705) q[2];
rz(-0.4894490159304743) q[2];
ry(0.8020467137300175) q[3];
rz(0.2006223767... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"ZIIIIIIIIIIZI",
"ZIIIIIIIIIIIZ",
"IIIIIIIZIIIZI",
"IIIIIIIZIIIIZ",
"ZIIIIIIZIIIII",
"IIIIIIZIIIIZI",
"IIIIIIZIIIIIZ",
"ZIIIIIZIIIIII",
"IIIIIIZZIIIII",
"IIIIIZIIIIIZI",
"IIIIIZIIIIIIZ",
"ZIIIIZIIIIIII",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIZIIIIIIIZI",
"IIIZIIIIIII... | [
0.44999999999999996,
0.4333333333333333,
0.4333333333333333,
0.24999999999999997,
0.15,
0.2833333333333333,
0.3,
0.49999999999999994,
0.39999999999999997,
0.15,
0.21666666666666665,
0.2833333333333333,
0.2833333333333333,
0.13333333333333333,
0.26666666666666666,
0.15,
0.233333333333... | 0.970859 | [
0.18576478786088418,
0.20062237679431477,
-0.08860986994933501,
0.3703233357425303,
-0.28499093071213705,
-0.4894490159304743,
0.8020467137300175,
0.8375728256376297,
-0.17610494372088498,
1.3584465187390293,
0.27346519934906943,
2.984560764131556,
-0.17070574368580071,
-0.6988192739426464... | {
"n_parameters": 33,
"n_qubits": 13,
"optimal_eigenvalue": -7.699999999999998,
"target_ratio": 0.97,
"target_value": -7.4689999999999985
} | 17 |
a1d30927e8d1c8c726712f7d85b25667 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 3, "target": 7}, {"capacity": 1, "source": 4, ... | {"states": [0, 127], "expectation_value": -1.1360521010818472, "params": [[0.0351, 0.075], [-0.038900000000000004, -0.08510000000000001]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.006296817445591153, 0.006338858712772573], "optimization_time": 26.75977325439453} | -1.0 * (Z(0) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + 1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(6)) + -0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.5 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.75, "smallest_bitstrings": ["10100000", "10010000", "10000000", "10110000", "10111000"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7388502636479408) q[0];
h q[1];
ry(0.8364853737259059) q[1];
h q[2];
h q[3];
h q[4];
ry(0.787806496993027) q[4];
h q[5];
ry(1.5530979908529392) q[5];
h q[6];
ry(1.5530979908529392) q[6];
cx q[6], q[1];
ry(-0.8364853737259059) q[1];
cx q[6], q[1];
h q[7];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIIIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIZZIII",
"IZIZIIII",
"IIIZIZII",
"IIZIZIII",
"IZZIIIII",
"IIZIIIZI",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII"
] | [
-1,
-1.75,
-1,
1.25,
-0.75,
-0.25,
-0.75,
-0.25,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
1.5,
-1.5,
-1,
-0.25,
-0.25,
2.25
] | 0.972173 | [
1.5530979908529392,
1.6729707474518118,
-1.4777005272958816,
1.0428584261011464,
-0.5387470518195514,
1.575612993986054,
0.2895910452877033,
-0.14095535837536688,
0.12654572147272122,
0.0819225196994189,
0.10364277040264942,
0.26808859046062694,
-0.06220001776916481,
-0.12253649147198077,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 1 |
b5518f36afa4dbdb0f95543c602afa47 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 1, "source": 2, "target": 3}, {"weight": 18, "source": 2, "target": 6}, {"weight": 17, "source": 2, "targ... | {"states": [366, 110], "expectation_value": -23.54022454838227, "params": [[0.0058000000000000005, 0.012100000000000001, 0.0077, -0.0008], [-0.0273, -0.046200000000000005, -0.050100000000000006, -0.0335]], "bitstrings": ["010010001", "110010001"], "total_optimization_steps": 10, "probabilities": [0.005221742047833444, ... | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["110010001"], "largest_eigenvalue": 194.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.286325205538855) q[0];
ry(0.1953118769536368) q[0];
rz(-2.3052829769044867) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.04979024122263945) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.04979024122263945) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.04979024122263945)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
0.5,
22.5,
11.5,
21,
21,
11,
9.5,
-7.5
] | 0.970367 | [
0.04979024122263945,
-1.2395641058626865,
1.6072661776984662,
-1.2975643784720312,
0.8841029895329524,
-1.446418733116507,
-1.4355238644249626,
1.3859267980444265,
1.189824641938442,
1.5301831548502773,
0.2543065660981385,
1.5984645142055647,
-1.0908269470905945,
1.456728143422818,
0.875... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -97,
"target_ratio": 0.97,
"target_value": -94.09
} | 65 |
6148353282823150813 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [2, 3, 5], [0, 4], [2, 6], [0, 5], [1, 3, 4], [2, 4, 5], [3, 6, 7], [1, 5, 6]]} | {"states": [61, 31], "expectation_value": -3.1703052977486976, "params": null, "bitstrings": ["11000010", "11100000"], "total_optimization_steps": 51, "probabilities": [0.09473578411857375, 0.8362724014998751], "optimization_time": 80.96256685256958} | 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.3333333333333326], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0000000000000004, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(-0.877055150140897) q[0];
cx q[7], q[0];
cx q[0], q[5];
rz(-0.877055150140897) q[5];
cx q[0], q[5];
cx q[0], q[4];
rz(-0.877055150140897) q[4];
cx q[0], q[4];
rz(0.5290825699408095) q[0];
... | 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[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",
"ZIIIZIII",
"IIIIZZII",
"IIZIIIIZ",
"IIZIZIII",
"IIZIIZII",
"IIIZIIIZ",
"IIIZZIII",
"IIIZIZII",
"IIZZIIII",
"ZZIIIIII",
"IZIIZIII",
"IZIIIZII",
"IZZIIIII",
"IIIIZIZI",
"IIZIIIZI",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIZIIII... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666... | 0.504137 | [
-0.877055150140897,
-0.13072293409776783,
-0.27173641861944275,
0.5290825699408093,
0.8256323743382321
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -3.3333333333333326,
"target_ratio": 0.97,
"target_value": -3.2333333333333325
} | 140 |
56e34af205e5dd92b84910e936583f99 | 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": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [42581, 43605], "expectation_value": -2.0148445707908706, "params": [-0.8655, -0.8654000000000001, 0.3291, 0.33840000000000003, 1.2768000000000002, 1.1831, 0.3007, 0.3332, 0.7102, 0.7766000000000001, 0.3642, 0.37020000000000003, 0.4042, 0.4047, 0.0132, 0.0303, -0.0219, 0.0022, 0.3957, 0.392, -0.0142, 0.0015,... | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006875000000000002 * (Z(4) @ Z(0)) + 0.000375 * (Z(4) @ Z(2)) + -0.0006875000000000002 * (Z(5) @ Z(1)) + 0.000375 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005000000000000001 * (Z(6) @ ... | 13 | 16 | 4 | {"smallest_eigenvalues": [-2.01762499999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0176249999999487, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.014624999999979} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.534118864284698) q[0];
rz(0.053600456200255664) q[0];
rx(-0.066431778482566) q[1];
rz(0.10671910908302884) q[1];
rx(1.0241502585201754) q[2];
rz(-0.014573254080948672) q[2];
rx(0.002829672745504775) q[3];
rz(1.0502640070447233) q[3];
rx(2.434022032962992) 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... | {"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,
-0.0008749999999999999,
-0.0008749999999999999,
0.25,
-0.0006875000000000002,
0.000375,
-0.0006875000000000002,
0.000375,
0.25,
-0.0005000000000000001,
-0.00075,
-0.0005000000000000001,
-0.0005000000000000001,
-0.00075,
-0.0005000000000000001,
0.25,
0.0001875,
0.0001250000000... | 0.97298 | [
1.534118864284698,
0.024115119448355163,
-0.06643177848256597,
0.08597448191784926,
1.0241502585201754,
0.01149165564798767,
0.0028296727455047743,
0.7839682344753336,
2.434022032962992,
-0.10658199403695008,
-0.1153613283313035,
-1.3000044165385516,
2.2530885455493195,
0.03274595733083363... | {
"n_parameters": 79,
"n_qubits": 16,
"optimal_eigenvalue": -2.01762499999995,
"target_ratio": 0.97,
"target_value": -1.9570962499999516
} | 165 |
b4844a241e7c75ea7eb690acd3c4c004 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [0, 4], "expectation_value": -0.5551533944112625, "params": [[[0.5909, -0.0017000000000000001], [0.1005, -0.2871], [0.2821, -0.156]], [[0.5913, -0.0018000000000000002], [0.0974, -0.2869], [0.2851, -0.1558]], [[0.5907, 0.0098], [0.1046, 0.0046], [0.2846, 0.0012000000000000001]]], "bitstrings": ["111", "011"],... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IZZ",
"ZIZ",
"ZZI",
"IIZ",
"IZI",
"ZII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
87caa31bd5898ba70984deddfd0af9cf | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 18, "source": 1, "target": 8}, {"weight": 15, "source": 1, "target": 6}, {"weight": 16, "sourc... | {"states": [238, 230], "expectation_value": -75.42436019138754, "params": [0.1584, 0.1211, 0.1558, 0.1154, 0.3919, -0.0432, 0.39590000000000003, -0.011300000000000001, 0.39, -0.041100000000000005, 0.39280000000000004, -0.0135, 0.38580000000000003, -0.030100000000000002, 0.39080000000000004, -0.0223, 0.0081, -0.1832, 0.... | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 22.5 * Z(2) ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["100011001"], "largest_eigenvalue": 183.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.0314108899099406) q[0];
ry(1.4702296425702437) q[0];
rz(-1.9930207436655087) q[0];
rz(2.2072347485496593) q[1];
ry(3.021421009145621) q[1];
rz(-0.9119666372239212) q[1];
rz(-3.052855225111153) q[2];
ry(3.045067427481058) q[2];
rz(0.007576635987096125) q[2];
rz(2.27... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIZIIIZI",
"IIZZIIIII",
"IZIIIIZII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
22.5,
5.5,
14,
23,
9,
5.5,
17,
8,
-8.5
] | 0.986193 | [
0.705615562123747,
-0.718223383660212,
1.4678140586383097,
0.07131220414394866,
1.573190310033539,
0.09614609136579398,
0.016790897783379,
1.4022867023347352,
-0.05931593079409136,
1.6475121533418533,
1.713263049719569,
0.07716185803558877,
0.009533744704124245,
1.2894444951869282,
-0.07... | {
"n_parameters": 32,
"n_qubits": 9,
"optimal_eigenvalue": -61,
"target_ratio": 0.97,
"target_value": -59.17
} | 1 |
646c4ffdec7c3b688313fcfec6df6ea9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [34, 42], "expectation_value": -0.607601245569984, "params": [0.6035, 0.17650000000000002, 0.271, 0.2997, 0.5986, 0.0429, 0.2773, 0.2569, 0.5983, 0.1158, 0.3068, 0.27490000000000003, 0.6007, 0.20450000000000002, 0.26730000000000004, 0.29510000000000003, 0.5972000000000001, 0.054900000000000004, 0.2722, 0.264... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z... | 18 | 6 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["001110", "110001", "010101", "101010", "011100", "100011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(1.9669260845713552) q[0];
ry(0.1024795632901214) q[0];
rz(-1.7618896224722536) q[0];
rz(1.3195676915300085) q[1];
ry(2.675781808525202) q[1];
rz(-2.101131985716676) q[1];
rz(0.659445598074063) q[2];
ry(2.9276292745841843) q[2];
rz(-2.5769113250260087) q[2];
rz(-1.592... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIZI",
"ZIIZII",
"IZZIII",
"ZIZIII",
"ZZIIII",
"ZZZIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.973844 | [
-0.03861409541289346,
0.30559213356773784,
0.7326018024600061,
-0.06435106480608022,
0.9547122432617727,
-0.15670419204282596,
1.266054401368888,
0.002295537787968205,
-0.1307986670653961,
0.03183210554700622,
0.016147551089138828,
-0.018645541425944934,
1.0077607251862293,
1.0367697074034... | {
"n_parameters": 27,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 9 |
-2248723971481903880 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [8, 7], [1, 3], [1, 4], [8, 1], [0, 4], [2, 4], [8, 2], [8, 4], [5, 7], [0, 2], [2, 7], [0, 5], [3, 6], [8, 5], [0, 6]]} | {"states": [207, 204], "expectation_value": -4.423812720097134, "params": null, "bitstrings": ["100110000", "100110011"], "total_optimization_steps": 72, "probabilities": [0.042307122044060876, 0.8281010922282852], "optimization_time": 138.8096568584442} | 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["100110011", "011001100", "011011100", "100100011"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.17165820847092023) q[0];
h q[1];
ry(1.6786884317070432) q[1];
h q[2];
ry(0.8543192689597565) q[2];
h q[3];
ry(-0.6387359049794779) q[3];
h q[4];
ry(-0.35365309455065286) q[4];
h q[5];
ry(0.7926312455272634) q[5];
h q[6];
cx q[6], q[0];
ry(0.171658208470920... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"ZIZIIIIII",
"ZZIIIIIII",
"ZIIIIIIZI",
"IIZIIZIII",
"IIIIIZIZI",
"ZIIIZIIII",
"IIIIZIIZI",
"IIZIIIIIZ",
"IIIIZIIIZ",
"ZIIIIIZII",
"IZIIIIZII",
"IIIIZIZII",
"IIIIIIZIZ",
"ZIIZIIIII",
"IZIZIIIII",
"IIIZIIIIZ",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"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,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.97324 | [
-0.34331641694184045,
1.4794951739908537,
1.5852624910545268,
-1.1235677200300813,
1.708638537919513,
-1.1268900880086754,
-1.2774718099589557,
1.6786884317070432,
-1.4714003620402256,
0.14212692150874168,
-0.20740490259761268,
-0.7073061891013057,
-0.8582344894966625,
-0.09128346971042797... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
15100e222fa25033a8fce0705323829c | 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": 11, "source": 1, "target": 3}, {"weight": 20, "source": 1, "target": 6}, {"weight":... | {"states": [504, 440], "expectation_value": -89.19236910912414, "params": [0.1492, -0.0609, 0.1516, -0.10110000000000001, 0.4983, 0.0673, 0.4969, 0.0478, 0.4914, 0.0534, 0.4932, 0.025900000000000003, 0.28450000000000003, -0.09970000000000001, 0.28390000000000004, -0.10880000000000001, 0.49720000000000003, 0.08600000000... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(5)) + 21.0 * Z(2) ... | 5 | 10 | 3 | {"smallest_eigenvalues": [-103.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.0, "smallest_bitstrings": ["1001000111"], "largest_eigenvalue": 192.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.933328841726907) q[0];
rz(2.0410652868694648) q[0];
rx(2.0469186955433383) q[1];
rz(1.6166790437148197) q[1];
rx(0.4392814054850587) q[2];
rz(1.5612985483172181) q[2];
rx(0.918653031702869) q[3];
rz(1.4372670766618256) q[3];
rx(2.933328841726907) q[4];
rz(1.148070... | 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": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIZIIZIIII",
"IIZZIIIIII",
"IZIIIIIZII",
"IZIIZIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
21,
3,
16.5,
13.5,
12,
21,
11.5,
2,
4,
-10.5
] | 0.972377 | [
2.933328841726907,
0.470268960074568,
2.0469186955433383,
0.045882716919923835,
0.43928140548505873,
-0.009497778477678603,
0.918653031702869,
-0.1335292501330713,
-0.4227260197525864,
2.5862248838032302,
-0.00931902582309524,
1.4623245513168883,
-0.0805985916592501,
0.6205424305261183,
... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -103,
"target_ratio": 0.97,
"target_value": -99.91
} | 169 |
36052b6d9554e9c6e978c526c4fee33f | 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": [175, 143], "expectation_value": -31.327236314706745, "params": [1.198, 0.13720000000000002, 0.7519, 0.26080000000000003, 0.7861, -0.12190000000000001, 0.6016, 0.5894, 1.1973, 0.0412, 1.1964000000000001, 0.0006000000000000001, 1.1192, 0.0011, 1.1945000000000001, 0.034800000000000005, 1.199, 0.0098, 0.7528, 0... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(5)) + 19.0 * Z(0) + 4.0 * Z(1) + 7.5 * Z(2) + 6.0 * Z(4) + 2.5 * Z(3) + 12.5 * Z(5) + 1.0 * Z(6) + 13.5 * ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.0, "smallest_bitstrings": ["01110000"], "largest_eigenvalue": 131.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.5516345311341015) q[0];
rz(0.21514051239792487) q[0];
rx(0.08937637159392445) q[1];
rz(0.16290164317491984) q[1];
rx(0.1774606433541601) q[2];
rz(-0.5352827324288231) q[2];
rx(0.3233583910747638) q[3];
rz(0.457329499459939) q[3];
rx(1.494632348814873) q[4];
rz(-0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIIZ",
"IIZIIZII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
19,
4,
7.5,
6,
2.5,
12.5,
1,
13.5
] | 0.973767 | [
1.5516345311341015,
0.15575671436624708,
0.08937637159392445,
0.16290164317491984,
0.1774606433541601,
-0.5352827324288231,
0.3233583910747638,
0.457329499459939,
1.494632348814873,
-0.0659083299145216,
1.539575064576683,
0.10200531608933992,
1.905505061015317,
0.17242395959421078,
1.534... | {
"n_parameters": 47,
"n_qubits": 8,
"optimal_eigenvalue": -64,
"target_ratio": 0.97,
"target_value": -62.08
} | 18 |
cb3c7c022cb9712afc36cb282644505f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [1, 93], "expectation_value": -1.4670763613851465, "params": [[-0.1572], [0.1631]], "bitstrings": ["11111110", "10100010"], "total_optimization_steps": 20, "probabilities": [0.010269085653298626, 0.011168437164574647], "optimization_time": 2.433081865310669} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.05593693978555295) q[0];
h q[1];
ry(0.8325027637947161) q[1];
ry(-0.8447176576029565) q[2];
rz(-pi) q[2];
h q[3];
cx q[3], q[1];
ry(-0.8325027637947161) q[1];
cx q[3], q[1];
ry(1.423432331088275) q[3];
cx q[1], q[3];
ry(-1.423432331088275) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"ZIIIIIIZ",
"IZIIIIZI",
"ZIIIIIZI",
"IIIIZZII",
"IZIIZIII",
"IIIIZIZI",
"IZZIIIII",
"ZIZIIIII",
"IIZIZIII",
"IIIZIZII",
"IZIZIIII",
"IIIZIIZI",
"IIZZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIII... | [
-0.5,
-0.5,
-0.5,
1.25,
-0.25,
-0.5,
-0.25,
-0.25,
-1,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
-1.75,
0.5,
0.25,
0.25,
0.25,
1.5
] | 0.970999 | [
-1.5538160005865271,
0.1118738795711059,
1.332597151625219,
-0.7151947204322344,
1.6650055275894322,
1.4347340367888448,
0.6840029149260662,
2.84686466217655,
0.05568704231530569,
-0.6241530302607411,
-0.9067492641266692,
-0.07060525726786303,
-0.09520537964010672,
-0.3414856413179436,
0... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 59 |
9915ff93784d747e82bcd9a73a2399e5 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}]} | {"states": [9, 3], "expectation_value": -7.275005931388309, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.12631059505875555, 0.6745310886168708], "optimization_time": 23.54879069328308} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 18 | 5 | 1 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
-2.5,
-3,
-2.5,
-2.25,
-2.25
] | 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 |
c5211bad50b928e7b2cd71a45947d261 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 6}, {"weight": 6, "source": 2, "targ... | {"states": [222, 220], "expectation_value": -24.044463629889343, "params": [[0.025900000000000003, 0.0009000000000000001], [-0.07730000000000001, -0.054200000000000005]], "bitstrings": ["100100001", "100100011"], "total_optimization_steps": 10, "probabilities": [0.005186983067450493, 0.006491239164045808], "optimizatio... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(6)) + 4.5 * (Z(4) @ Z(6)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 189.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.05158763210986543) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.05158763210986543) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.05158763210986543) q[2];
cx q[0], q[2];
rz(-0.025670045257859098) q[0];
rx(0.2174955030065558) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIZIII",
"IIZIZIIII",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIZZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IZIIZIIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"ZIZIIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIZIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
15.5,
4,
19,
19,
7.5,
17.5,
27,
-2,
10
] | 0.971395 | [
-0.05158763210986543,
-0.05276727579868179,
-0.02567004525785946,
1.3880542914463816,
-0.20108841360191268,
1.3172319871880824,
0.8443518997675575,
0.2656465650956471,
-0.8000269395917592,
0.21749550300655576,
-0.05167716937010963,
0.5699853713624246,
-0.5721176716655902,
0.564232575406183... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -96.5,
"target_ratio": 0.97,
"target_value": -93.605
} | 76 |
726a5ae01318539d56f80c3be6bbd791 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1242, 1502], "expectation_value": -2.985694493513399, "params": null, "bitstrings": ["01100100101", "01000100001"], "total_optimization_steps": 100, "probabilities": [0.06306196579520189, 0.6625597524668825], "optimization_time": 412.2550148963928} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 1 | 11 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.625, "smallest_bitstrings": ["00010101000", "00011000010", "01000100001", "01000010010", "00100100100", "10000000110"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.26735938862423486) q[0];
rz(0.10893230624247693) q[0];
ry(0.1491965529302104) q[1];
ry(0.1605882734467805) q[2];
ry(0.5179101632285602) q[3];
ry(0.44091074970939437) q[4];
ry(0.20939928831505905) q[5];
ry(1.2941176658595661) q[6];
ry(0.9604711128290605) q[7];
ry(-... | null | null | {"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(-1.1871) q[9], 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... | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIIZ",
"IIIIZIZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
... | 0.97497 | [
0.26735938862423486,
0.1491965529302104,
0.1605882734467805,
0.5179101632285602,
0.44091074970939437,
0.20939928831505905,
1.2941176658595661,
0.9604711128290605,
-0.3821283109988437,
1.7024078434950567,
0.054818503108896285,
0.21786461248495387,
-0.7416832374606571,
-0.39822474854642687,
... | {
"n_parameters": 126,
"n_qubits": 11,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 62 |
fca2293c2a9a83d1eeb5cc8ed6acc934 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [86, 116], "expectation_value": -4.999874628887887, "params": null, "bitstrings": ["0101001", "0001011"], "total_optimization_steps": 36, "probabilities": [1.7184297198140115e-05, 0.9999247925092263], "optimization_time": 39.379175662994385} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001011", "1101000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.1085452155132307) q[0];
rz(-pi) q[0];
h q[1];
ry(1.4634417096669068) q[1];
ry(-3.116011071267912) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.5690578259935095) q[3];
h q[4];
ry(1.517818890375456) q[4];
cx q[4], q[0];
ry(-0.07430717905142728) q[0];
cx q[4], q[0];
ry(0.099359... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IIIZZII",
"IIZZIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-0.5,
-1,
-1,
0,
0
] | 0.998232 | [
-1.5690578259935095,
-1.4202201428075247,
1.517818890375456,
1.4634417096669068,
-0.09421059075376897,
0.14861435810285456,
0.19800617208161359,
0.05479170819511875,
0.1987183954967629,
-0.07382566291840055,
0.046895837035076146,
-0.024793505477716263
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
7bc4dde9a09d0b94c5097b219891d81a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [10, 3], "expectation_value": -0.04836999488383323, "params": [[0.024300000000000002, 0.0158, -0.0223, -0.0465], [-0.0409, -0.0385, -0.0205, 0.021]], "bitstrings": ["0101", "1100"], "total_optimization_steps": 10, "probabilities": [0.06513693624613368, 0.06513693624613372], "optimization_time": 1.92695498466... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(2) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0101"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZIZI",
"ZIIZ",
"IZZI",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
0
] | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
a4f7d93f5ed996b37075df46e118b7f5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 7}, {"weight": 18, "source": 1, "target": 2}, {"weight": 9, "source... | {"states": [37, 293], "expectation_value": -11.546159672606345, "params": [[[0.7963, -0.0004], [0.6839000000000001, -0.056400000000000006], [0.5556, -0.1279], [0.8017000000000001, 0.0016], [0.5954, 0.0889], [-0.0013000000000000002, 0.4302], [0.7991, 0.0031000000000000003], [0.7466, 0.033800000000000004], [0.8032, 0.000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(7)) + -2.0 * Z(1) + -2.0 * Z(0) + -4.0 * Z(2) + 0.5 * Z(3) + -... | 1 | 9 | 2 | {"smallest_eigenvalues": [-54.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.0, "smallest_bitstrings": ["011011010"], "largest_eigenvalue": 84.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.4149440035319221) q[0];
rz(1.9360392982839247) q[0];
rx(0.23166844733440892) q[1];
rz(2.055854574522182) q[1];
rx(0.1654730309748247) q[2];
rz(1.6705268726724096) q[2];
rx(-0.031912144597394554) q[3];
rz(1.975290555553494) q[3];
rx(0.36284273848677145) q[4];
rz(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[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-2,
-2,
-4,
0.5,
-3,
-8.5,
-4,
-1.5,
0.5
] | 0.970764 | [
0.4149440035319221,
0.36524297148902846,
0.23166844733440894,
0.485058247727285,
0.1654730309748247,
0.09973054587751265,
-0.031912144597394554,
0.40449422875859786,
0.36284273848677134,
0.03538158899637997,
0.3983433541610907,
0.054302037685407825,
-0.095760022742371,
0.2636304022781348,
... | {
"n_parameters": 177,
"n_qubits": 9,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 360 |
-7092725537231230361 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3, 5, 7], [1, 2, 5, 7, 8], [1, 4, 5, 7], [0, 1, 3, 5, 6], [8, 4, 6], [1, 5, 6, 7], [0, 1, 7], [2, 3, 4, 7, 8], [1, 2, 4], [8, 1, 4, 7], [1, 3, 6, 7]]} | {"states": [350, 441], "expectation_value": -0.14533391647375588, "params": [[-0.0784], [0.0758]], "bitstrings": ["010100001", "001000110"], "total_optimization_steps": 10, "probabilities": [0.002128271676876602, 0.0021286353258504324], "optimization_time": 5.18548321723938} | 0.05 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(0)) + 0.1 * (Z(5) @ Z(2)) + 0.1 * (Z(5) @ Z(0)) + 0.1 * (Z(5) @ Z(3)) + 0.15000000000000002 * (Z(7) @ Z(2)) + 0.21666666666666667 * (Z(7) @ Z(0)) + 0.18333333333333335 * (Z(7) @ Z(3)) + 0.26666666666666666 * (Z(7) @ Z(5)) + 0.21666666666666667 * (Z(1) @ Z(2))... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.6333333333333337, -2.6333333333333337], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.516666666666667, "smallest_bitstrings": ["010100001", "001000110"], "largest_eigenvalue": 10.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-2.8078824096349197e-06) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-1.410677702380179e-05) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-1.410677702380179e-05) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-1.41067770238... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIIZIII",
"IZIZIIIII",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIZIIIZI",
"IZIIIIIZI",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZZIIIIIII",
"ZIIIIIIZI",
"IIIIZIZII",
"... | [
0.05,
0.1,
0.1,
0.1,
0.1,
0.1,
0.15000000000000002,
0.21666666666666667,
0.18333333333333335,
0.26666666666666666,
0.21666666666666667,
0.21666666666666667,
0.13333333333333333,
0.26666666666666666,
0.5499999999999999,
0.1,
0.05,
0.05,
0.18333333333333335,
0.13333333333333333,
... | 0.938894 | [
-0.0000028078824096349197,
-0.00001410677702380179,
-0.000036918365243225246,
-0.000003865235858147575,
0.000024858207930555513,
0.00000224730355935916,
-0.000014538423647450712,
-2.3258965603359143,
0.000014961152010237634,
-0.00000955121134354708,
0.000050570415718990453,
0.00001232660586492... | {
"n_parameters": 21,
"n_qubits": 9,
"optimal_eigenvalue": -2.6333333333333337,
"target_ratio": 0.97,
"target_value": -2.5543333333333336
} | 500 |
-4199559637343228163 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3], [1, 3], [0, 2], [0, 4]]} | {"states": [13, 7], "expectation_value": -1.7576928662994085, "params": null, "bitstrings": ["10010", "11000"], "total_optimization_steps": 27, "probabilities": [0.057338829844053155, 0.8271342482087165], "optimization_time": 17.358494758605957} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["11000", "00111"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.1398774463100934) q[0];
h q[1];
ry(-0.1398774463100934) q[1];
h q[2];
h q[3];
cx q[3], q[1];
ry(0.1398774463100934) q[1];
cx q[3], q[1];
ry(-1.0847738014411121) q[1];
ry(1.1987146706246703) q[3];
h q[4];
cx q[4], q[0];
ry(0.1398774463100934) q[0];
cx q[4],... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"IZIIZ",
"IZIZI",
"IIZIZ",
"ZIIIZ",
"IZIII",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.971535 | [
-0.2797548926201868,
0.9523192209894011,
-0.9523844391166469,
-0.4142503980402909,
1.3958437501032506,
1.286125069410776,
-0.8171069002642214,
0.49279089927053826,
0.1408103054831659,
0.2735626712991261,
-0.2647787246489305,
-0.38824182617006153,
0.09911966485027496,
-0.2504209063643598,
... | {
"n_parameters": 21,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 9 |
613ef125dc4e28340a6427c0ac6373f5 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 3, "target": 2}, {"capacity": 3, "source": 3, "target": 6... | {"states": [58348, 58364], "expectation_value": -15.465904539841585, "params": [0.6068, 0.00030000000000000003, 0.6041000000000001, 0.0057, 0.6072000000000001, 0.0047, 0.004200000000000001, 0.45930000000000004, 0.0032, -0.41390000000000005, 0.0044, 0.437, 0.6076, 0.004, 0.6021000000000001, 0.0051, 0.6073000000000001, -... | 0.875 * (Z(0) @ Z(1)) + 0.875 * (Z(2) @ Z(1)) + 0.4375 * (Z(2) @ Z(0)) + 2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(8)) + 1.0 * (Z(10) @ Z(11)) + 3.0 * (Z(12) @ Z(11)) + 1.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(13)) + 1.0 * (Z(14) @ Z(13... | 18 | 16 | 3 | {"smallest_eigenvalues": [-37.62499999999973], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.74999999999981, "smallest_bitstrings": ["0001110000000011"], "largest_eigenvalue": 84.37500000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(2.33246591973068) q[0];
rz(-1.4797298029163883) q[0];
rx(3.034262380501139) q[1];
rz(-1.3671634194239497) q[1];
rx(2.844954897000549) q[2];
rz(-0.1507424939227966) q[2];
rx(0.09303229139166129) q[3];
rz(-0.1919721744733692) q[3];
rx(0.09303229139166129) q[4];
rz(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIZZIIIIII",
"IIIIIIIZZIIIIIII",
"IIIIIIIZIZIIIIII",
"IIIIIIZIZIIIIIII",
"IIIIIIZIIZIIIIII",
"IIIIIIZZIIIIIIII",
"IIIIZZIIIIIIIIII",
"IIIZZIIIIIIIIIII",
"IIIZIZIIIIIIIIII",
"IIZIIIIIIIIIZIII",
"IZZIIIIIIIIIIIII",
"IZIIIII... | [
0.875,
0.875,
0.4375,
2,
1,
0.5,
2,
1,
1,
1,
3,
1.5,
-0.5,
1,
-1,
1,
-1,
2,
-1,
0.875,
-2,
-2,
-0.5,
0.4375,
-1,
-1,
0.875,
3.5,
1.75,
1.75,
9,
4.5,
3,
6,
6,
3,
9,
0.5,
-0.75,
1,
1,
-1.5,
-0.75
] | 0.975514 | [
2.33246591973068,
-0.9324153315878805,
3.034262380501139,
-1.3671634194239497,
2.844954897000549,
-0.1507424939227966,
0.09303229139166129,
-0.1919721744733692,
0.48148107538044876,
0.2220551215114627,
1.071389716391299,
2.8122451934812642,
-0.11827595875594393,
2.998101331925135,
-1.094... | {
"n_parameters": 40,
"n_qubits": 16,
"optimal_eigenvalue": -37.624999999999694,
"target_ratio": 0.97,
"target_value": -36.496249999999705
} | 33 |
-8724236009168458715 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[1, 2, 3], [0, 2, 3]]} | {"states": [13, 3], "expectation_value": -0.009573669550257388, "params": [[-0.053000000000000005], [0.0632]], "bitstrings": ["0010", "1100"], "total_optimization_steps": 10, "probabilities": [0.06333487684476061, 0.0633360235258317], "optimization_time": 0.36844825744628906} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * Z(2) + 0.16666666666666666 * Z(1) + 0.3333333333333333 * Z(3) + 0.16666666666666666 * Z(0) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.6666666666666666, -0.6666666666666666, -0.6666666666666666], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.3333333333333335, "smallest_bitstrings": ["1100", "0010", "0001"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
ry(-0.23745531319120372) q[0];
h q[1];
ry(-0.23745531319120372) q[1];
h q[2];
cx q[2], q[1];
ry(0.23745531319120372) q[1];
cx q[2], q[1];
cx q[2], q[0];
ry(0.23745531319120372) q[0];
cx q[2], q[0];
ry(1.087814433818706) q[2];
cx q[1], q[2];
ry(0.0445628884481723... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[... | null | {"circuits": [], "gradients": []} | [
"IZZI",
"ZZII",
"ZIZI",
"IZIZ",
"ZIIZ",
"IZII",
"IIZI",
"ZIII",
"IIIZ"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666
] | 0.975559 | [
1.1288014638156687,
-0.47491062638240744,
1.132377322266878,
-0.08912577689634475,
0.2291041708431022,
0.37849267415699506,
-1.2347161105371947,
-1.2155585861764864,
0.3401937048678328,
0.33060526014688657,
0.7270459261281187,
-0.41692217258795367,
-0.24999421491868712,
0.7589237849584735,... | {
"n_parameters": 15,
"n_qubits": 4,
"optimal_eigenvalue": -0.6666666666666666,
"target_ratio": 0.97,
"target_value": -0.6466666666666666
} | 19 |
a2fbaabb441862c2d900444ba4ef581f | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"sour... | {"states": [15, 255], "expectation_value": -0.7903754309232048, "params": [[0.0604], [-0.057]], "bitstrings": ["11110000", "00000000"], "total_optimization_steps": 10, "probabilities": [0.005254063641448903, 0.005360041289454411], "optimization_time": 2.099220037460327} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(7)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + -1.5 * Z(3) + 0.5 * Z(7) + 0.5 *... | 5 | 8 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["00000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.7764543382615098) q[0];
h q[1];
h q[2];
ry(0.7764543382615098) q[2];
h q[3];
cx q[3], q[0];
ry(-0.7764543382615098) q[0];
cx q[3], q[0];
cx q[0], q[2];
ry(-0.7764543382615098) q[2];
cx q[0], q[2];
ry(0.7002597165335359) q[3];
cx q[2], q[3];
ry(-0.7002597165... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2];
cx q[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"ZIIZIIII",
"ZIZIIIII",
"IIZZIIII",
"ZZIIIIII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-2,
0.5,
-2,
0.5,
-2.5,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
1,
1,
-1.5,
0.5,
0.5,
0.5,
0.5
] | 0.970087 | [
1.5529086765230196,
1.4005194330670718,
0.40237204648068225,
-0.09376543888589753,
-0.046401815825918555,
-0.008744464231031666,
1.5555361986029896,
1.5248553912298526,
0.26027667893325784,
1.5884109237826554,
-0.0050619828964441095,
-0.025664419265411846,
-0.02930090343304319,
-0.29153197... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 242 |
2398b0b8852b758caa629303970b584b | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [494, 747], "expectation_value": -0.04878831983888883, "params": [[0.063, -0.051000000000000004], [-0.0611, -0.0054]], "bitstrings": ["1000010001", "0100010100"], "total_optimization_steps": 10, "probabilities": [0.0010989885620775223, 0.0010989885620775238], "optimization_time": 10.634718656539917} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(3) @ Z(7)) + ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["0010100100", "1000010001", "0011000001", "0100010100"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.039254698902790326) q[0];
rz(pi/2) q[0];
ry(0.3648670593836806) q[1];
ry(0.3376361431186225) q[2];
ry(0.37423268336375176) q[3];
ry(0.5746655888699254) q[4];
ry(-0.09537820387184358) q[5];
ry(0.4618259931807873) q[6];
ry(0.43542575300609276) q[7];
ry(0.45015024645... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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];
... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZZZIII",
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIIZIIZIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIZIIZIIZ",
"IIZIIIZIIZ",
"IIZZIIIIIZ",
"IIZZIIZIII",
"IIZZIIZIIZ",
"IIIIIZIIZI"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
... | 0.9724 | [
0.039254698902790326,
0.3648670593836806,
0.3376361431186225,
0.37423268336375176,
0.5746655888699254,
-0.09537820387184358,
0.4618259931807873,
0.43542575300609276,
0.45015024645460006,
0.02352608316433561,
0.3808695150484027,
-0.32131097767290606,
0.1267658218374237,
-0.03091676333232282... | {
"n_parameters": 152,
"n_qubits": 10,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 36 |
175dd49c484ef3d5fa3bd6c9677b2e54 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 3}, {"weight": 19, "source": 1, "target": 7}, {"weight": 10, "source": 2, "tar... | {"states": [374, 214], "expectation_value": -22.251902531457176, "params": [[0.028200000000000003, 0.0142], [-0.0684, -0.08020000000000001]], "bitstrings": ["010001001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.006639222491688056, 0.00779083718135153], "optimization_time": 3.376746892929077} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(2) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.5, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.012702872726867235) q[0];
rz(0.7261500482432468) q[0];
rx(1.708594509649015) q[1];
rz(0.12597962376736144) q[1];
rx(1.7733981518856725) q[2];
rz(-0.02277223671017986) q[2];
rx(0.06529158846150054) q[3];
rz(0.533931610746281) q[3];
rx(1.7309825126937453) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZZIIIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
18.5,
3.5,
10,
5,
14.5,
16.5,
2.5,
16,
14
] | 0.970119 | [
0.012702872726867237,
0.6846830848096259,
1.708594509649015,
0.12597962376736144,
1.7733981518856725,
-0.02277223671017986,
0.06529158846150054,
0.533931610746281,
1.7309825126937453,
0.43134552008146615,
-0.061856389290952205,
0.7298563498538823,
1.7726504492361108,
0.0006008827544663614,... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -77.5,
"target_ratio": 0.97,
"target_value": -75.175
} | 10 |
fc7b19754949f0e05a27875fb69f344a | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [13, 31], "expectation_value": -5.955902257435416, "params": [[-0.0385, -0.0092, -0.033100000000000004], [0.0577, 0.039900000000000005, 0.0616]], "bitstrings": ["11110010", "11100000"], "total_optimization_steps": 10, "probabilities": [0.006925940560484916, 0.00705435444672224], "optimization_time": 6.290307... | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 53.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.039738840687134236) q[0];
rz(-0.2353337499900654) q[0];
rx(-0.039738840687134236) q[1];
rz(-0.021455568999004995) q[1];
rx(0.00241554966618817) q[2];
rz(0.13687828871885735) q[2];
rx(2.1135641398643044) q[3];
rz(0.09140913237800194) q[3];
rx(3.251386907726556) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII"
] | [
2,
6,
3,
-1,
-0.5,
-1.5,
-2,
-1,
-3,
1,
-0.25,
-0.25,
-0.125,
9,
4.5,
13.5,
-1.5,
-3,
-1,
-0.5,
-0.5
] | 0.972155 | [
-0.039738840687134236,
-0.2358725824553829,
-0.021455568999004995,
0.00241554966618817,
0.13687828871885735,
2.1135641398643044,
0.09140913237800194,
3.251386907726556,
0.10228857007698645,
3.096010759129636,
-0.05175610628712672,
-2.9402631276470084,
0.16839375237658555,
-2.80609486114488... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -22.125,
"target_ratio": 0.97,
"target_value": -21.46125
} | 4 |
05d141b5ffa8b0efeb584dec24db300e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [127, 126], "expectation_value": -26.51645182067796, "params": [[[0.0025, 3.1619], [0.0034000000000000002, 0.0027], [0.0026000000000000003, -0.0031000000000000003], [0.002, 0.0023], [0.0024000000000000002, 0.0021000000000000003], [1.6059, -0.0028], [0.0025, 0.0028]]], "bitstrings": ["0000000", "0000001"], "t... | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(4)) + 1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(5)) + 0.... | 15 | 7 | 1 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.0, "smallest_bitstrings": ["0000001"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(0.6175168991613681) q[0];
h q[1];
ry(0.6175168991613681) q[1];
h q[2];
ry(0.7170279672910043) q[2];
h q[3];
ry(1.2718411954079134) q[3];
h q[4];
ry(-0.008350424287314147) q[4];
h q[5];
cx q[5], q[0];
ry(-0.6175168991613681) q[0];
cx q[5], q[0];
cx q[0], 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] 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] ... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZZIIII",
"IIIZIIZ",
"IIIZZII",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
-2.5,
0.5,
-3,
0.5,
-3,
-2.5,
0.5,
-3,
-2.5,
-2.5,
1.5,
-2.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.964971 | [
1.2350337983227362,
1.4340559345820085,
-0.016700848574628294,
3.2736901355508197,
-0.4354060914000313,
-1.4636202949221844,
1.718382336781574,
-0.11266460713756996,
1.4688016071875138,
-1.6053541257003932,
2.543682390815827,
-0.014658287014737606,
0.02751445716956589,
0.012138707165498029... | {
"n_parameters": 47,
"n_qubits": 7,
"optimal_eigenvalue": -27,
"target_ratio": 0.97,
"target_value": -26.189999999999998
} | 500 |
f6494d29a2885917ea72724ca31dc87e | 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": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -17.853280878726583, "params": [0.0023, -0.10540000000000001, 0.0008, -0.1068, 0.0019, -0.1502, 0.0025, -0.1511, 0.0028, -0.1494, 0.0026000000000000003, -0.1579, 0.0016, -0.14350000000000002, 0.006200000000000001, -0.1509, 0.004, -0.1482, 0.0026000000000000003, -0.1525, 0.003, -0... | -0.75 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + 1.5 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(6)) + -1.0 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(8)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.10189812843066029) q[0];
rz(-0.15089983411608365) q[0];
rx(0.012949681207840832) q[1];
rz(-0.3863298561993709) q[1];
rx(-0.2249217523066944) q[2];
rz(-0.07319496732861097) q[2];
rx(0.06993357002108799) q[3];
rz(-0.2465905830606978) q[3];
rx(0.08546781518194248) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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",
"IZZIIIIII",
"IZIIIIIIZ",
"ZIZIIIIII",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZZIIIII",
"IZIZIIIII",
"IIIZIIIZI",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIIZZI",
"IIIZIIZII",
"IIZIIZIII",
"IZIIIZIII",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIZIIII",
"IIIIZIIZI",
"IIIIZZIII",
"... | [
-0.75,
-1.25,
-0.5,
-0.25,
1.5,
-0.75,
-1,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1.25,
-1,
-1.25,
-2,
-1.25,
-0.75,
-0.25,
-1,
-2,
0,
-0.25,
1.5,
0.75,
-5,
1,
1.5,
-0.75,
1.25
] | 0.979947 | [
-0.10189812843066029,
-0.20692645873723892,
0.012949681207840832,
-0.3047185877811311,
-0.22492175230669437,
-0.05003070120281442,
0.06993357002108799,
-0.26060474940613737,
0.08546781518194248,
-0.4558542881777824,
0.3664614763165901,
-0.49251998763677596,
-0.20127128571451497,
-0.1535688... | {
"n_parameters": 116,
"n_qubits": 9,
"optimal_eigenvalue": -19.25,
"target_ratio": 0.97,
"target_value": -18.6725
} | 7 |
c4559e2109a60fa6a7bb29fcc8218635 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [496, 497], "expectation_value": -1.960913731912358, "params": [[[0.4848, 0.0983], [0.7039000000000001, -0.0002], [0.6997, 0.0011], [0.7019000000000001, -0.0013000000000000002], [0.6456000000000001, -0.0024000000000000002], [0.7057, 0.0002], [0.2288, 0.22], [0.227, 0.2212], [-0.004, 0.4983], [0.5448000000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 10 | 3 | {"smallest_eigenvalues": [-4.375, -4.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.375, "smallest_bitstrings": ["0010100011", "1000001110"], "largest_eigenvalue": 7.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-2.2267502685305547) q[0];
ry(0.19353574145592575) q[0];
rz(2.599961334183943) q[0];
rz(-1.5165969767059337) q[1];
ry(3.0719212486502268) q[1];
rz(1.4654866352390172) q[1];
rz(0.4778043579636426) q[2];
ry(2.913609216647238) q[2];
rz(-2.744781337562384) q[2];
rz(1.33... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZZIIIZ",
"IIIIIZIIZI",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIIZIZIIZI",
"IIZIIIIZII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
-0.125,
0.125,
0,
-0.25,
-0.25,
-0.25,
-1,
-0.25
] | 0.976758 | [
0.3483488932283528,
-0.2405386790872588,
1.4599552313126094,
-0.0038334687317894134,
1.8013530341700412,
-0.21375279600217495,
1.7122385053536329,
-0.05670896957285064,
1.5319880079106987,
0.022230161386745315,
1.5589829718349317,
-0.12246769145582562,
0.08711207245084268,
0.95759456217530... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -4.375,
"target_ratio": 0.97,
"target_value": -4.2437499999999995
} | 43 |
62ca4fdc3f835f51dee1780376d2bf19 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [50, 38], "expectation_value": -3.996464044453145, "params": null, "bitstrings": ["001101", "011001"], "total_optimization_steps": 25, "probabilities": [0.06634810229922904, 0.9303665171780984], "optimization_time": 23.473244667053223} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011001"], "largest_eigenvalue": 9.0} | 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... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"IIIZZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-0.5,
-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 |
16f78d4600a63f9e28571cad22ffe3ee | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"weight": 11, "source": 2, "targ... | {"states": [185, 182], "expectation_value": -18.742177206217093, "params": [[-0.0391, -0.0122], [0.07050000000000001, 0.0682]], "bitstrings": ["101000110", "101001001"], "total_optimization_steps": 10, "probabilities": [0.007317914101725487, 0.009130822492461001], "optimization_time": 3.3699746131896973} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 148.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.06533991207500221) q[0];
rz(1.7673554067439534) q[0];
rx(0.22394717722886268) q[1];
rz(1.5834346747889922) q[1];
rx(0.5914177553622147) q[2];
rz(1.2988874808531223) q[2];
rx(0.7383563693045873) q[3];
rz(1.421982816396154) q[3];
rx(0.6418769613290847) q[4];
rz(1.784... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
-4,
14.5,
4,
18,
10.5,
15,
11,
6.5
] | 0.979432 | [
0.0653399120750022,
0.196559079949057,
0.2239471772288627,
0.012638347994095411,
0.5914177553622149,
-0.27190884594177434,
0.7383563693045871,
-0.14881351039874235,
0.6418769613290847,
0.21384660442009046,
0.8641840268522056,
0.23059727903605726,
0.11989875580688164,
-0.19251224406203676,
... | {
"n_parameters": 90,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 22 |
6172ec2f30329f156b64312801e66ef4 | 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": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6... | {"states": [36, 37], "expectation_value": -6.463513464447093, "params": [-0.0017000000000000001, -0.41300000000000003, -0.0018000000000000002, 0.009000000000000001, 1.4052, 2.0825, -1.4052, 0.0011, -0.003, 1.3962, 0.003, 0.0006000000000000001, 0.0027, 0.773, 0.0027, 0.0038, 1.5682, -0.0033, 1.5668, 0.001700000000000000... | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5) | 7 | 7 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1010000", "1011010", "1011000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.15321410223109672) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.15321410223109672) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(-0.003386663219578) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.15321410223109672) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-1.25,
-1.25,
-0.25,
-1,
1.5,
-0.75,
-0.5,
-1.25,
-0.75,
-1.5,
-0.25,
1.75,
-1.5,
-0.25,
1.25,
0.5
] | 0.80901 | [
-0.15321410223109672,
-0.003386663219578,
1.3792064432981384,
1.6536245255120825,
0.007415038342467658,
-0.00033579823225607776,
-0.04906685260021198,
1.5514059338137396,
1.57108267036554,
1.549966787492532,
-1.43906272514929
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 276 |
294512af72c0fecd4cefe8fd6a356b5c | 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}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [47, 109], "expectation_value": -35.43673122360108, "params": null, "bitstrings": ["11010000", "10010010"], "total_optimization_steps": 100, "probabilities": [0.11976868504268683, 0.1765281471536214], "optimization_time": 155.4960675239563} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 5.0 * Z(0) + 11.5 * Z(2) + 13.0 * Z(1) + -3.0 * Z(3) + 2.0 * Z(4) + 14.0 * Z(5) + 9.5 * Z(6) + 12.5 ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 111.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.07402068680094753) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.07402068680094753) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.07402068680094753) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[3], q[4];
rz(0.07402068680094753) q[4];
cx q[... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5,
11.5,
13,
-3,
2,
14,
9.5,
12.5
] | 0.970283 | [
0.07402068680094753,
1.5073614578039751,
-1.2666992684437206,
-1.7659760581336494,
1.1918964393531186,
-0.7174241288636667,
-1.2945818069295907,
0.640345842373991,
-2.0164039672798895,
0.906754320820238,
1.1291606588504102,
-0.0963225932464942,
-0.514025711468184,
-0.3896493296815006,
-0... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -59.5,
"target_ratio": 0.97,
"target_value": -57.714999999999996
} | 81 |
4cda5dee957682c08dbd329bc943c5ef | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [1, 3], "expectation_value": -5.270250913870376, "params": [-0.0026000000000000003, 0.2982, -0.0035, 0.2859, 0.3161, 0.31420000000000003, 0.048600000000000004, 0.33490000000000003, 0.0037, 0.301, 0.4591, 0.0951, 0.501, 0.0006000000000000001, -0.0085, 0.2998, -0.0006000000000000001, 0.2932, 0.2950000000000000... | 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(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) ... | 3 | 7 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011101", "0110111", "1111100", "1101011", "1101110", "1110110"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.02594948614362916) q[0];
ry(0.159556898477795) q[1];
ry(3.220243018720069) q[2];
ry(-0.26118800429812855) q[3];
ry(-0.11708632410814492) q[4];
ry(2.6961583172483548) q[5];
ry(-0.003793597072665269) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIIZ",
"IZIIZII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIZIZI",
"IIIZZII",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-1.5,
-2,
-1.5,
-1,
-1.5
] | 0.971524 | [
-0.02594948614362916,
0.159556898477795,
3.220243018720069,
-0.26118800429812855,
-0.11708632410814492,
2.6961583172483548,
-0.003793597072665269,
0.016356167604613624,
-0.03425868078488903,
-0.02361447462930349,
-0.019473692669395654,
0.5536734217067089,
0.22703499698521307
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 41 |
9537b03a0720fea9486a83164aae2375 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4}, {"capaci... | {"states": [0, 1], "expectation_value": -12.370821287598698, "params": [0.0032, 0.2494, 0.0027, 0.30560000000000004, 0.0046, 0.28190000000000004, 0.006900000000000001, 0.2228, 0.006900000000000001, 0.22210000000000002, 0.40640000000000004, 0.0037, 0.0014, 0.20520000000000002, 0.0024000000000000002, 0.3009, -0.000300000... | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.75 * (Z(2) @ Z(3)) + -3.5 * (Z(2) @ Z(4)) + 3.25 * (Z(5) @ Z(0)) + -1.75 * (Z(5) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(4) + -1.25 * Z(2) + 1.5 * Z(5) | 3 | 6 | 4 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.25, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.04459291637044844) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.13836609871095987) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.04459291637044844) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.13836609871095987) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IIIZZI",
"IIZZII",
"IZIZII",
"ZIIIIZ",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-1,
-1.5,
-1,
-0.5,
-1.75,
-3.5,
3.25,
-1.75,
0,
-0.25,
-0.75,
0.75,
-1.25,
1.5
] | 0.971099 | [
-0.04459291637044844,
-0.13836609871095987,
-0.0035492850593641656,
-0.050246306238886776,
-0.3040872882365267,
0.09375049462482174,
-1.3952808476570036,
-0.935560578412678,
-0.6808490296717252,
-0.8285443807602375,
-0.9401926242259768,
0.8324490365775066,
-1.6550995825587071,
-0.140733839... | {
"n_parameters": 37,
"n_qubits": 6,
"optimal_eigenvalue": -15.25,
"target_ratio": 0.97,
"target_value": -14.7925
} | 85 |
3ed5f3574fc5742cdca345825268b283 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [239, 511], "expectation_value": -24.217337939985274, "params": null, "bitstrings": ["111100010000", "111000000000"], "total_optimization_steps": 100, "probabilities": [0.18896148696374218, 0.33481009529841577], "optimization_time": 276.8431715965271} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(7)) + -2.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + -2.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-35.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["111000000000"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.019198483592056878) q[0];
rz(0.29363905822924274) q[0];
rx(-0.0455414050892091) q[1];
rz(0.1379848034580431) q[1];
rx(-2.8518759388590316) q[2];
rz(0.6490615983225203) q[2];
rx(0.1972309981375863) q[3];
rz(-0.0720636596641918) q[3];
rx(-0.11182709299241964) q[4];
... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5708) q[6], 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... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIZIIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIIZIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIZZIIIIII",
"IIIIIZIIZIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIII... | [
-2,
-2,
1,
-2.5,
-2.5,
0.5,
-2.5,
0.5,
-2,
-2.5,
0.5,
-2,
1,
-2,
-2,
-2,
-2,
-2,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972186 | [
0.019198483592056878,
0.29363905822924274,
-0.0455414050892091,
0.1379848034580431,
-2.8518759388590316,
0.6490615983225203,
0.1972309981375863,
-0.0720636596641918,
-0.11182709299241964,
-0.2796944261413121,
0.11295956344834253,
-0.046215799635921984,
-0.40449170054818917,
0.2844306617471... | {
"n_parameters": 20,
"n_qubits": 12,
"optimal_eigenvalue": -35.5,
"target_ratio": 0.97,
"target_value": -34.435
} | 11 |
6937cf9b84e6fcf0b74e4e8a04c76bf2 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"s... | {"states": [6652, 6655], "expectation_value": -12.786364132468535, "params": null, "bitstrings": ["0011000000011", "0011000000000"], "total_optimization_steps": 100, "probabilities": [0.083960824483253, 0.25126939596909154], "optimization_time": 1047.1591329574585} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * (Z(11) @ Z(12)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(7) + 0.5 * Z(10) + 0... | 10 | 13 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0011000000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(2.791901594130012) q[0];
rz(pi/2) q[0];
ry(-0.0843422934894037) q[1];
ry(0.05562782829829124) q[2];
ry(-0.02280253272667214) q[3];
ry(-2.375305547908904) q[4];
ry(0.05668837998704502) q[5];
ry(2.677744081408125) q[6];
ry(-0.25640878219772106) q[7];
ry(-0.08114454445... | null | {"node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\ncry(1.5681) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4]... | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZZII",
"IIIIIIIZZIIII",
"IIIIZIZIIIIII",
"IIIIZZIIIIIII",
"IIIIIZZIIIIII",
"IIZZIIIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIIIZI",
"IIIIIIIIIIIIZ",
"IIIIIIIIIZIII",
"IIIIIIIIIIZII",
"IIIIIIIZIIIII",
"IIIIIIIIZIIII",
"IIIIZIIIIIIII",
"IIIIIIZIIIIII",
"IIIIIZIIIII... | [
-1,
-1.5,
-1,
-1.5,
-1.5,
0.5,
-1,
-1,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.97122 | [
2.791901594130012,
-0.0843422934894037,
0.05562782829829124,
-0.02280253272667214,
-2.375305547908904,
0.05668837998704502,
2.677744081408125,
-0.25640878219772106,
-0.08114454445584726,
2.548733831693853,
0.04723458336563558,
1.343758904846397,
1.4161002366395854,
0.20859896289020757,
2... | {
"n_parameters": 49,
"n_qubits": 13,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 27 |
-2366032373491310907 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 5, 6, 7], [1, 2, 3, 4], [3, 4, 6], [4, 7], [3, 4, 5], [0, 3], [1, 4, 5], [1, 3, 5]]} | {"states": [119, 238], "expectation_value": -1.267612938639959, "params": [[-0.4545], [0.40950000000000003]], "bitstrings": ["10001000", "00010001"], "total_optimization_steps": 50, "probabilities": [0.017870011267097523, 0.017870011267097523], "optimization_time": 3.955643892288208} | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.36666666666666664 * (Z(5) @ Z(1)) + 0.03333333333333333 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.03333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.416666666666666, "smallest_bitstrings": ["00010001"], "largest_eigenvalue": 6.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(3.039770235239098) q[0];
rz(-1.1795347369006062) q[0];
ry(0.14612448175497006) q[1];
rz(-0.7468691296113548) q[1];
cx q[1], q[0];
ry(0.2913196916116889) q[1];
rz(0.2391692310306112) q[1];
ry(1.7270719034422086) q[2];
rz(-0.009657124306720423) q[2];
ry(1.8115423108919... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIZIZIII",
"IZIIZIII",
"IIIZIIZI",
"IIIZIZII",
"IIZZIII... | [
0.03333333333333333,
0.11666666666666667,
0.03333333333333333,
0.36666666666666664,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.033333333333333... | 0.979446 | [
3.039770235239098,
-1.1795347369006062,
0.14612448175497006,
-0.7468691296113548,
1.7270719034422086,
-0.009657124306720423,
1.811542310891937,
0.11462225810309648,
1.8552064631287148,
0.07541128798723173,
0.16010461109383864,
0.3112556961428443,
1.646904274695981,
0.1312943281486993,
0.... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -2.416666666666667,
"target_ratio": 0.97,
"target_value": -2.3441666666666667
} | 13 |
0897b31d9a82279b7ba3c27721e1c7dd | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [1525, 1509], "expectation_value": -2.308445782386383, "params": [2.7046, 0.008, -0.0047, 0.0057, 1.8105, 0.0035, 2.6994000000000002, 0.0058000000000000005, 2.7018, 0.007500000000000001, 2.6912000000000003, 0.0043, 1.4781, 0.0061, 0.48260000000000003, 0.0008, 2.2838000000000003, 0.0066, 0.48100000000000004, ... | 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)... | 16 | 11 | 1 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 26, "first_excited_energy... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.116952552672873) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.506937155918549) q[1];
ry(-0.04835348819428048) q[2];
rz(-pi) q[2];
ry(-0.04835348819428048) q[3];
rz(-pi) q[3];
ry(-0.04835348819428048) q[4];
rz(-pi) q[4];
h q[5];
ry(1.4591992826168048) q[5];
cx q[5], q[2];
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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIZIIZII",
"IIIIZIIIZII",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIIZZZII",
"IIIIIZIZZII",
"IIIIZIIZZII",
"IIIIIZZIZII",
"IIIIZIZIZII",
"IIIIZZIIZII",
"IIIIIZZZIII",
"IIIIZIZZI... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.25,... | 0.996009 | [
-1.506937155918549,
-1.4324166492555206,
1.4591992826168048,
-0.18005237869019097,
0.1739138865223437,
0.08512248384985079,
0.12820374576614546,
-0.02175841391827514,
0.04692024382718294,
0.10197694986490853
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
53c66e59dd215d6493a19ec6b6cb9e9c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [214, 206], "expectation_value": -79.43455718334184, "params": [-0.0025, -1.3576000000000001, 0.8896000000000001, 0.01, 1.0409000000000002, -0.0019, 0.0016, 0.9305, 1.0214, -0.2575, 1.2014, 0.1825, 1.0631000000000002, -0.042300000000000004, 1.2797, 0.1862, -0.0019, 0.6181, -0.0055000000000000005, -0.86030000... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(6) @ Z(8)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(7) @ Z(6)) + 10.5 * Z(0) + 15.5 * Z(2) + 19.0 * Z(1) + 10.0 * Z(4) + ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-81.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["100110001"], "largest_eigenvalue": 169.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.17189800994860766) q[0];
rz(-1.5723973448167214) q[0];
rx(0.9575222748377133) q[1];
rz(-0.15236477697282882) q[1];
rx(1.1423817307828419) q[2];
rz(0.0435524454933172) q[2];
rx(-0.024985774328748017) q[3];
rz(1.0067198095448973) q[3];
rx(0.9413755890888613) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IIIZZIIII",
"ZIIIIIZII",
"IIZIIIIIZ",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIIZIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
10.5,
15.5,
19,
10,
1.5,
7,
12.5,
17.5,
-10
] | 0.973937 | [
0.17189800994860766,
-1.3370466170150486,
0.9575222748377133,
-0.15236477697282882,
1.1423817307828419,
0.0435524454933172,
-0.024985774328748017,
1.0067198095448973,
0.9413755890888613,
-0.356892753057841,
1.3653711685554029,
0.1104642939278111,
1.07388884093067,
0.0320742423787969,
1.3... | {
"n_parameters": 76,
"n_qubits": 9,
"optimal_eigenvalue": -81.5,
"target_ratio": 0.97,
"target_value": -79.05499999999999
} | 3 |
82b7510e3c4f18f03c81315097910da2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capaci... | {"states": [1, 31], "expectation_value": -6.266123250957764, "params": null, "bitstrings": ["111110", "100000"], "total_optimization_steps": 45, "probabilities": [0.06491054619726463, 0.7440517742297588], "optimization_time": 39.900079011917114} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(5) + -0.25 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-6.581916184979591e-07) q[0];
h q[1];
ry(0.6434977519720617) q[1];
h q[2];
ry(0.6434977519720617) q[2];
h q[3];
h q[4];
ry(0.785398270325911) q[4];
cx q[3], q[4];
ry(-0.785398270325911) q[4];
cx q[3], q[4];
ry(0.6154797530425266) q[3];
cx q[4], q[3];
ry(-0.61... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5626) q[3], 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 \... | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"IIIZZI",
"IIZIZI",
"IIZZII",
"IZIIZI",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
-0.25,
-0.75,
0.5,
-0.25,
-1,
-0.75,
-1,
-1.25,
-1.5,
0.25,
-0.25,
-0.25,
-0.25,
0.25,
0.25
] | 0.965517 | [
1.570796540651822,
1.2309595060850531,
1.2869955039441234,
-1.5707961133230497,
1.8545964968194282,
-0.39631419127463324,
0.6801154830436662,
1.570796550632477,
-0.0000013163832369959182,
3.5289707979888594e-7,
-1.510291118014996,
1.510290485989974,
1.0482933015393622e-7,
0.205718760898137... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 500 |
f20b14ccaf46fd91ed39b9c05edbe906 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 8, "source":... | {"states": [123, 59], "expectation_value": -16.333540647652345, "params": [[0.0472, 0.008700000000000001], [-0.0746, -0.0506]], "bitstrings": ["0000100", "1000100"], "total_optimization_steps": 10, "probabilities": [0.018436388698901022, 0.020214677212511474], "optimization_time": 3.348783493041992} | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(3) @ Z(2)) + 3.0 * (Z(4) @ Z(1)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + 13.0 * Z(1) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-53.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.0, "smallest_bitstrings": ["1000100"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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] ... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"IZIIZII",
"IZZIIII",
"ZIIIIZI",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
13,
7.5,
15.5,
16,
13,
9,
14
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
32ac9e269a3e59976c84238bcc2168e7 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"sourc... | {"states": [4047, 32719], "expectation_value": -19.825926122696345, "params": [-0.8654000000000001, -0.767, -0.2114, 0.2926, -0.32980000000000004, 0.19160000000000002, 1.9146, 1.2137, 0.0023, 0.0026000000000000003, -1.8798000000000001, 1.8914000000000002, 1.5726, 1.5730000000000002, -0.0026000000000000003, -0.002600000... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.5 * (Z(9) @ Z(10)) + -1.0 * (Z(11) @ Z(12)) + -1.0 * (Z(13) @ Z(14)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.... | 14 | 15 | 1 | {"smallest_eigenvalues": [-21.499999999999915], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.49999999999986, "smallest_bitstrings": ["000000000110000"], "largest_eigenvalue": 13.500000000000012} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(-1.8750915737701532) q[0];
rz(pi/2) q[0];
ry(-0.1519023842167797) q[1];
ry(-0.19409858592778653) q[2];
ry(2.0090352085565524) q[3];
ry(-0.012935140146557) q[4];
ry(-1.629414294094588) q[5];
ry(1.6933943807915512) q[6];
ry(-0.03785491117013634) q[7];
ry(0.00614612899... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIZZIII",
"IIIIIIIIIZZIIII",
"IIIIIIIIIZIZIII",
"IIIIIIIZZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIIZIZIIIIII",
"IIIIZZIIIIIIIII",
"IIZZIIIIIIIIIII",
"ZZIIIIIIIIIIIII",
"IIIIIIIIIIIIZII",
"IIIIIIIIIIIIIIZ",
"IIIIIIIIIIIIIZI",
"... | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
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,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.972393 | [
-1.8750915737701532,
-0.1519023842167797,
-0.19409858592778653,
2.0090352085565524,
-0.012935140146557,
-1.629414294094588,
1.6933943807915512,
-0.03785491117013634,
0.006146128999962823,
3.1214043339669457,
-0.17389989322231308,
1.6598865003325378,
1.6438693967039741,
-0.10705139242517783... | {
"n_parameters": 52,
"n_qubits": 15,
"optimal_eigenvalue": -21.499999999999915,
"target_ratio": 0.97,
"target_value": -20.854999999999915
} | 28 |
7e799239f8573f120a2c5e15cda2e88f | 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": 3, "target": 1}, {"source": 3, "target": 4}, {"source": 2, "target": 4}]} | {"states": [22261, 27486], "expectation_value": -2.3812893247448357, "params": [[-0.18610000000000002], [0.1786]], "bitstrings": ["010100100001010", "001010010100001"], "total_optimization_steps": 20, "probabilities": [0.00011552629295059929, 0.00011552629295059929], "optimization_time": 4.020662784576416} | 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": [-7.999999999999979], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.999999999999955, "smallest_bitstrings": ["001010010100001"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.013661432647873829) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.47799463725369296) q[1];
h q[2];
ry(1.609883237122917) q[2];
h q[3];
ry(1.609883237122917) q[3];
h q[4];
cx q[4], q[1];
ry(0.47799463725369296) q[1];
cx q[4], q[1];
ry(-0.6440649203767641) q[1];
ry(0.9857223264... | 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,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75,
1,
1,
1
] | 0.994711 | [
-1.5961244559276881,
1.609883237122917,
-0.9559892745073859,
0.7778346010594781,
-0.4321667361998622,
0.4157754507244771,
-0.42379636835380385,
0.245207488748664,
-0.0379388834944252,
0.03472662903914467,
0.0730459640739915,
0.07797912356133081,
-0.0856693429277921
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 1 |
11576eab70c2ec583415b5e8bd58f9e2 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [21, 28], "expectation_value": -3.499901759135221, "params": null, "bitstrings": ["101010", "100011"], "total_optimization_steps": 26, "probabilities": [1.6353512195995074e-05, 0.9999508518713515], "optimization_time": 17.757460355758667} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1,
-0.5,
0
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
fb354d60453679d679afcbc2ef259e36 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 26], "expectation_value": -0.9266382884804109, "params": [[-0.075, -0.0665, -0.0805], [0.0766, 0.0683, 0.0736]], "bitstrings": ["011110", "100101"], "total_optimization_steps": 10, "probabilities": [0.0264258366078642, 0.030347566463724825], "optimization_time": 3.598281145095825} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.771457845796399) q[0];
rz(0.20583293908457456) q[0];
rx(0.9226641717609871) q[1];
rz(0.16372671104574926) q[1];
cx q[1], q[0];
rz(-0.04382293817596074) q[0];
cx q[1], q[0];
rx(0.7533216915569005) q[0];
rz(0.05206125349230284) q[0];
rz(0.06315738960408568) q[1];
rx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1,
-1,
-0.5
] | 0.97422 | [
0.7714578457963991,
0.16201000090861373,
0.9226641717609871,
0.16372671104574926,
1.1584520372173939,
-0.006876482614402969,
0.0444164020346387,
0.25393271130854,
-0.047803904028318286,
-0.03324698493440209,
-0.03689418107124742,
0.10406937110530717,
0.643156446848987,
0.15964110472260815,... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 13 |
ad1ac98d2a374df439432fe378bbbe81 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 3}, {"capac... | {"states": [511, 1], "expectation_value": -0.4803103222313215, "params": [[-0.0818], [0.0792]], "bitstrings": ["1000000000", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0014626088199846156, 0.0014697232677787805], "optimization_time": 3.2296764850616455} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(9) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(8) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.25, "smallest_bitstrings": ["1000000000", "1111111110", "1111101110"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.0801147679992092) q[0];
rz(2.0230024860443585) q[0];
rx(-0.05486193411688716) q[1];
rz(2.1493284760763434) q[1];
rx(0.08448197820253409) q[2];
rz(2.0480345174987757) q[2];
rx(0.028854398217909326) q[3];
rz(2.0582631838348187) q[3];
rx(0.0008718496037206092) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"ZIIIIIIIIZ",
"IIIIIIZIZI",
"IIIIIIIZZI",
"ZIIIIIIZII",
"IIZIIIZIII",
"IIZIIIIZII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIIZIIIZII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZZIIIIIII",
"IZIZIIIIII",
"IIIIIZIIZI",
"IIIZIZIIII",
"IZIIZIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"ZIIIIIIIII"... | [
-0.25,
0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-0.75,
-1.25,
-0.75,
-0.5,
-0.25,
-1,
-0.25,
0.25,
0.75,
0,
0,
1.5,
-1.75,
0.25,
0.25
] | 0.970982 | [
-0.08011476799920919,
0.4522061592494613,
-0.054861934116887154,
0.5785321492814464,
0.08448197820253407,
0.4772381907038794,
0.028854398217909322,
0.48746685703992193,
0.0008718496037206092,
0.41142100132440196,
-0.16018453689638,
-0.0979158832060109,
0.11953026359847133,
0.53717453884588... | {
"n_parameters": 54,
"n_qubits": 10,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 9 |
3304041141560406249 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 6, 7, 8], [0, 1, 2, 4, 5, 6, 9], [0, 4, 6, 8, 10, 11], [2, 3, 4, 8, 11], [2, 3, 4, 10, 11], [2, 3, 5, 6, 7, 8], [0, 2, 7, 9, 10], [1, 4, 6, 8, 9], [9, 3, 4, 7], [0, 1, 3, 6, 7, 9, 10], [1, 2, 3, 6], [1, 4, 6, 7, 8, 11], [1, 10, 5, 6], [0, 1, 7, 8, ... | {"states": [3766, 3830], "expectation_value": -2.8265065653891077, "params": [1.9792, 0.0009000000000000001, 3.1395, 0.0094, 3.1444, 0.0029000000000000002, 0.3728, 0.0019, 3.1393, 0.0001, 1.5823, 0.0012000000000000001, 3.1388000000000003, 0.0059, 2.4333, 0.0035, 0.3614, 0.0014, 3.1439000000000004, 0.0086, 3.1392, 0.003... | 0.12142857142857143 * (Z(0) @ Z(1)) + 0.3476190476190476 * (Z(8) @ Z(1)) + 0.16428571428571428 * (Z(8) @ Z(0)) + 0.13095238095238096 * (Z(9) @ Z(1)) + 0.18095238095238095 * (Z(9) @ Z(0)) + 0.1738095238095238 * (Z(9) @ Z(8)) + 0.15714285714285714 * (Z(10) @ Z(1)) + 0.14047619047619048 * (Z(10) @ Z(0)) + 0.23333333333333... | 16 | 12 | 1 | {"smallest_eigenvalues": [-3.0547619047619055], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9738095238095235, "smallest_bitstrings": ["000100001001"], "largest_eigenvalue": 15.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.85699731161504) q[0];
rz(0.045026790822169094) q[0];
rx(3.034101644142254) q[1];
rz(0.12603582239149522) q[1];
cx q[1], q[0];
rz(-0.04036455479254783) q[0];
cx q[1], q[0];
rz(0.02982067594822719) q[1];
rx(2.9835326587424897) q[2];
rz(0.2547008431894997) q[2];
rx(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": []} | [
"IIIIIIIIIIZZ",
"IIIZIIIIIIZI",
"IIIZIIIIIIIZ",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIZZIIIIIIII",
"IZIIIIIIIIZI",
"IZIIIIIIIIIZ",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIZIIIZIIII",
"IIZIIIIZIIII",
"IZIIIIIZIIII",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIZIZIII... | [
0.12142857142857143,
0.3476190476190476,
0.16428571428571428,
0.13095238095238096,
0.18095238095238095,
0.1738095238095238,
0.15714285714285714,
0.14047619047619048,
0.23333333333333334,
0.1738095238095238,
0.10714285714285714,
0.07380952380952381,
0.14047619047619048,
0.08333333333333334,... | 0.979171 | [
2.85699731161504,
0.004662236029621356,
3.034101644142254,
0.12603582239149522,
2.9835326587424897,
0.2145670505498085,
0.19978901584411862,
0.13045488199287286,
2.9575707528118116,
0.14144654454090116,
2.1522936653513227,
-0.28640481656799244,
3.0773726079451365,
0.038023744411219064,
2... | {
"n_parameters": 34,
"n_qubits": 12,
"optimal_eigenvalue": -3.0547619047619055,
"target_ratio": 0.97,
"target_value": -2.963119047619048
} | 9 |
07dc38d1dc363182151755eeee21e61e | 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": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, ... | {"states": [128, 127], "expectation_value": -0.011374674434197818, "params": [[0.0078000000000000005], [-0.0088]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.003929093259834254, 0.0039301709304109525], "optimization_time": 2.181220769882202} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.25 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-5.135206862499014e-07) q[0];
h q[0];
rx(-1.0866163553076218e-07) q[1];
h q[1];
rx(0.0194805872738... | OPENQASM 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IIZIIIZI",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZZII",
"IIIZIZII",
"ZIIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII"
] | [
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-1.25,
-1.5,
-1,
-1.25,
1.75,
-0.75,
-2.25,
-1,
-1.25,
0.5,
-0.25,
0,
1.5,
-0.25,
0,
-1.5,
0
] | 0.195652 | [
-5.135206862499014e-7,
-1.0866163553076218e-7,
0.019480587273897846,
0.977683709348563,
0.8263827168396609,
-0.12240171832566504,
-7.337275034990325e-8,
3.936838968556609e-7,
-1.8852554131208358e-7,
-0.019480723463502873,
-0.12064363564363532,
-0.20277298075242142,
0.12240156398596434,
-3.... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 500 |
da3c81488557dc57e6e1f0bd43d65336 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [18, 22], "expectation_value": -2.0336737888516327, "params": [0.0161, 0.020300000000000002, 0.2419, 0.2374, 0.0393, 0.040400000000000005, 0.24430000000000002, 0.24910000000000002, 0.2546, 0.25680000000000003, 0.0212, 0.0189, 0.024300000000000002, 0.0154, 0.24180000000000001, 0.23820000000000002, 0.037700000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 14 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["101001", "010110"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(2.867085271407469) q[0];
rz(0.3043059900979084) q[0];
rx(0.09235165757558533) q[1];
rz(0.9535806604362476) q[1];
rx(-0.1119442096811765) q[2];
rz(1.1846710426102411) q[2];
rx(3.0988563508695517) q[3];
rz(0.5841200851268177) q[3];
rx(0.14325937118774348) q[4];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IIZZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.983007 | [
2.867085271407469,
0.3043059900979084,
0.09235165757558533,
0.9535806604362476,
-0.1119442096811765,
1.1846710426102411,
3.0988563508695517,
0.5841200851268177,
0.14325937118774348,
-1.0539834988881036,
3.200641439537315,
0.13258606659300243
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 12 |
bb51b85a8f0cca1e878093cb2d4e9f25 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [18, 3], "expectation_value": -3.6174410942327064, "params": [[-0.0211, -0.0611], [0.0115, 0.059300000000000005]], "bitstrings": ["101101", "111100"], "total_optimization_steps": 10, "probabilities": [0.021942573309442475, 0.02275527482282985], "optimization_time": 3.8691461086273193} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 ... | 16 | 6 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
-6,
-5.75,
-6,
-5.75,
-5.25,
-5.25
] | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
bbbf3a13922d646e52957d79d5b27fb0 | 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": 3, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 8}, {"weight": 10, "source": 2, "target": 3}, {"weight":... | {"states": [347, 346], "expectation_value": -79.11964282638831, "params": [1.1899, 0.029500000000000002, -0.6061000000000001, 0.0008, 1.203, 0.044500000000000005, 1.2014, 0.0025, 1.1808, -0.009600000000000001, -0.0792, 0.0043, 1.1986, 0.049, 1.2019, 0.0061, 0.8512000000000001, -0.1273, 0.37010000000000004, 0.0022, 1.19... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(6)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) @ Z(8)) + 11.5 * Z(1) + -4.0 * Z(0) + 6.5 * ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-94.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["1010100101"], "largest_eigenvalue": 158.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.5572640044052346) q[0];
rz(1.5080474445332763) q[0];
rx(1.4018229554837018) q[1];
rz(1.5998493843167108) q[1];
rx(0.9974104167331502) q[2];
rz(1.5768221194914513) q[2];
rx(1.850316035157872) q[3];
rz(1.5855060165261943) q[3];
rx(0.3694390245186765) q[4];
rz(1.8219... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIZIZIIII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIZZIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIZIIIIII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
11.5,
-4,
6.5,
-0.5,
6,
19.5,
19.5,
14.5,
-2,
16
] | 0.975461 | [
1.5572640044052346,
-0.06274888226162025,
1.4018229554837016,
0.029053057521814446,
0.9974104167331502,
0.006025792696555,
1.8503160351578718,
0.01470968973129817,
0.36943902451867655,
0.2511872562574651,
1.0782462915501518,
0.16545327198901466,
1.9602520066654203,
0.06749761875362068,
0... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -94.5,
"target_ratio": 0.97,
"target_value": -91.66499999999999
} | 102 |
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