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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ee3d1657115ac7fe63817a76eff6e74f | 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": 16, "source": 0, "target": 4}, {"weight": 4, "source": 2, "target": 3}, {"weight": 12, "source": 3, "targ... | {"states": [181, 174], "expectation_value": -25.818738550598724, "params": [[0.0241, 0.0117, -0.0122, -0.0094], [-0.0461, -0.0645, -0.0334, -0.0222]], "bitstrings": ["101001010", "101010001"], "total_optimization_steps": 10, "probabilities": [0.006710116744232005, 0.007807501190836332], "optimization_time": 7.983406066... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 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(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 170.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.011320181029350375) q[0];
cx q[1], q[0];
rz(1.6845218817811496) q[0];
rx(1.643152641776864) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.011320181029350375) q[2];
cx q[3], q[2];
rz(1.694561325739155) q[2];
rx(1.6431526417768643) 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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"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,
12.5,
-3,
15,
-2.5,
15.5,
17,
23.5,
15,
9.5
] | 0.979463 | [
-0.011320181029350375,
-1.538475421558327,
1.684521881781149,
-1.5682318728391689,
1.6945613257391543,
0.9835395433700487,
-1.623624962021536,
-1.7004061833926134,
1.5050717042233193,
1.6431526417768643
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 54 |
df682e2d7fb98a289acacc6990a57f8a | 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": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "ta... | {"states": [214, 212], "expectation_value": -4.707560382255808, "params": [2.2024, -0.0031000000000000003, 2.209, -0.0095, 0.0021000000000000003, -0.507, 2.2012, -0.0029000000000000002, 2.193, -0.0031000000000000003, 2.2013000000000003, 0.0035, 1.3776000000000002, -0.7889, -0.0199, 0.0061, 0.9737, -1.9166, 0.0021000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -2.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(6) + -1.0 * Z(3) + -1.0 * Z(... | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["00101011", "01110100", "01101001", "00110110"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.445720676686468) q[0];
rz(1.5263114070686328) q[0];
rx(2.945582019725923) q[1];
rz(1.6783932800626928) q[1];
rx(-0.02813568012905506) q[2];
rz(1.0390270381851803) q[2];
rx(3.091366618444274) q[3];
rz(1.4065985294702834) q[3];
rx(2.4099841861882694) q[4];
rz(1.52631... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIZZI",
"IZIIIZII",
"IZIIIIZI",
"IIIIZZII",
"IIZIIZII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"IIIZZIII",
"IIZZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
0,
-0.5,
-0.5,
-1,
-1,
-1,
-0.5
] | 0.973531 | [
2.445720676686468,
-0.0444849197262633,
2.945582019725923,
0.10759695326779606,
-0.028135680129055065,
-0.5317692886097165,
3.091366618444274,
-0.16419779732461362,
2.4099841861882694,
2.8300434189195816,
-0.36560528890921673,
0.33893875117475386,
-1.0140373571207086,
0.0874473351417775,
... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 13 |
c8d51f72aae3d3846253f049803bf8f2 | 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": [235, 107], "expectation_value": -64.34155801937153, "params": [-0.0021000000000000003, 0.0066, 0.8266, 0.002, 1.5039, 0.0071, 2.4055, 0.009300000000000001, 2.4091, 0.0082, -0.0018000000000000002, 0.0028, 2.4039, 0.0038, 0.9304, 0.0067, 2.4, 0.0002, 2.4009, 0.0031000000000000003, 0.0094, 0.0089, 0.0086, 0.00... | 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(0) @ Z(4)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(1) @ Z(8)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(9) @ Z(1)) + 15.0 * Z(3) + 5.0 * Z(2) + 14.5 * Z(4) + -5.0 * Z(0) + 6.0 * Z(6) + -5.5 * Z(5) + 1.0 * Z(7) + 10.0 ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.0, "smallest_bitstrings": ["1110010100"], "largest_eigenvalue": 118.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.039946292323491096) q[0];
rz(-0.3382743429305517) q[0];
rx(-0.07350108388873222) q[1];
rz(-0.6331465998857108) q[1];
rx(0.1377329894086851) q[2];
rz(-0.16482810035245027) q[2];
rx(3.2911301188715796) q[3];
rz(0.31885456840366755) q[3];
rx(3.129068407520713) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIIZZIIIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IZIIIIIIZI",
"ZZIIIIIIII",
"ZIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIIIIZ",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"IIIIIIIIZI",
"ZIIIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
15,
5,
14.5,
-5,
6,
-5.5,
1,
10,
0.5,
6.5
] | 0.986985 | [
-0.03994629232349109,
-0.11770144083555656,
-0.07350108388873222,
-0.6331465998857108,
0.1377329894086851,
-0.16482810035245027,
3.2911301188715796,
0.31885456840366755,
3.129068407520713,
-0.2756070393766997,
-0.009050970522226809,
-0.5383738108653514,
3.0054550887400295,
-0.8923854358839... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -98,
"target_ratio": 0.97,
"target_value": -95.06
} | 17 |
b99d01e343a9618170192b83f850e849 | 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": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [20, 21], "expectation_value": -3.338276730459542, "params": [0.0006000000000000001, 0.2755, 0.010400000000000001, -0.22640000000000002, 0.4955, 0.2011, 0.4934, 0.3045, 0.4002, -0.013800000000000002, 0.5079, -0.0038, -0.012400000000000001, 0.2204, 0.39480000000000004, 0.062200000000000005, 0.0045000000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + -0.5 * Z(2) + -1.5 * Z(0) + -1.0 * Z(4) + -1.5 * Z(6) + -1.0 * Z(7) + -1.0 * Z... | 3 | 8 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -3.5, "smallest_bitstrings": ["11100011", "11101001", "11101010", "01101011", "10011110", "10010111", "11010011", "11011010", "11011001"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.10102962975764386) q[0];
rz(0.28656417068928697) q[0];
rx(0.13986678498721436) q[1];
rz(0.2802212173457539) q[1];
rx(0.5620671485373332) q[2];
rz(0.6234050624416034) q[2];
rx(0.6176064149034918) q[3];
rz(0.3304744211141144) q[3];
rx(0.7346291000997419) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IZIZIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZZIIIIII",
"IZIIIIZI",
"IIIIZZII",
"IIIIZIZI",
"IIZIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-1.5,
-1,
-1,
-0.5,
0
] | 0.97363 | [
-0.10102962975764385,
0.026419610170205415,
0.13986678498721433,
0.5707931976190376,
0.5620671485373332,
0.29972374293734594,
0.617606414903492,
0.4524517527921321,
0.7346291000997418,
-0.034813433592926414,
0.7253464624644654,
-0.27871852420943566,
-0.17894864313508466,
0.1481575597533142... | {
"n_parameters": 89,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 26 |
3d599008e6d247101eb02503201a8a05 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [16, 15], "expectation_value": -0.2383987837622663, "params": [[-0.0882], [0.0814]], "bitstrings": ["01111", "10000"], "total_optimization_steps": 10, "probabilities": [0.03748643971127412, 0.03846992921933291], "optimization_time": 1.0893456935882568} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08055982018340721) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.08055982018340721) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.5225355503098899) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0805598201834072... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIZIZ",
"ZIZII",
"ZIIIZ",
"IIZZI",
"IZZII",
"ZZIII",
"IZIZI",
"IIZII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IZIII"
] | [
-0.25,
-0.25,
0.5,
-1.5,
-0.25,
-0.5,
-1,
0.75,
-0.25,
-0.25,
0,
-0.25
] | 0.869132 | [
0.08055982018340721,
-0.35470681563137524,
0.5225355503098899,
1.1234973761473965,
1.3097500534732263,
0.06301837355841679,
0.0172289539833638,
1.175101985651543,
-0.050600734974519,
-0.913335335482333,
1.0536620339595795,
1.7102271339985182,
2.127471121365935,
-0.06929635052414747,
1.03... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 500 |
5bfd79024282ae69c62758a244a2de56 | 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": 1, "target": 2}, {"weight": 1, "source": 1, "target": 4}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "... | {"states": [2730, 1386], "expectation_value": -1.5098847742229902, "params": [[[3.1443000000000003, 0.0068000000000000005], [-2.7154000000000003, 0.0058000000000000005], [3.1442, 0.0076], [-2.7115, 0.0047], [3.1443000000000003, 0.0074], [1.5466, 0.0014], [3.1443000000000003, 0.0015], [-2.1403000000000003, 0.00390000000... | 0.25 * (Z(0) @ Z(1)) + -0.0015625 * (Z(2) @ Z(0)) + -0.0015625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00017361111111111112 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + 0.00017361111111111112 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00034722222222222224 * (Z(6) @ Z(0)) + 0.0010416666... | 2 | 12 | 1 | {"smallest_eigenvalues": [-1.5208333333333335, -1.5208333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5104166666666674, "smallest_bitstrings": ["101010010101", "010101101010"], "largest_eigenvalue": 1.5145833333333334} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | OPENQASM 3.0;
include "stdgates.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,
-0.0015625,
-0.0015625,
0.25,
0.00017361111111111112,
-0.0015625,
0.00017361111111111112,
-0.0015625,
0.25,
0.00034722222222222224,
0.0010416666666666667,
0.00034722222222222224,
0.00034722222222222224,
0.0010416666666666667,
0.00034722222222222224,
0.25,
0.0005208333333333333,... | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
d6ef88caa86def69cf0a93d5f7ae1334 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 4, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [32, 31], "expectation_value": -0.12776453038593266, "params": [[0.002, -0.0534], [-0.0463, 0.054]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.016791024587216194, 0.016957658610631126], "optimization_time": 2.3940112590789795} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.5 * Z(4) + -1.0 * Z(1) + -0.25 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "100000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.142596775395089) q[0];
h q[1];
ry(-2.805862209723741) q[2];
rz(-pi) q[2];
h q[3];
ry(1.6727279779329813) q[3];
cx q[3], q[2];
ry(-0.006612696294308967) q[2];
cx q[3], q[2];
h q[4];
ry(0.18808620509776625) q[4];
h q[5];
cx q[5], q[4];
ry(-0.1880862050977662... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIZZII",
"IZZIII",
"IZIZII",
"IIZIZI",
"ZIIIIZ",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
-0.25,
-0.25,
-1,
-0.25,
-1,
0.5,
-0.75,
2,
-0.25,
0,
-0.5,
-1,
-0.25
] | 0.977265 | [
1.6727279779329813,
0.3761724101955325,
1.2284531866345352,
0.427136098034033,
-2.285193550790178,
-0.23338856410801373,
-0.22032755357472006,
0.013225392588617935,
0.6739447709084712,
0.7214781933643197,
0.33930929519387343,
-2.1923364254591933,
0.19110177979600335,
0.7238842759854223,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 132 |
0dfcdb47416adb6a36dbeb085dec3a08 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"sour... | {"states": [177, 181], "expectation_value": -5.5064666750409215, "params": [[[0.0018000000000000002, 0.4239], [0.8117000000000001, 0.004], [0.2979, 0.24760000000000001], [0.8046000000000001, 0.004], [0.8047000000000001, 0.0004], [0.0007, 0.43420000000000003], [0.8041, 0.0031000000000000003], [-0.0023, 0.4036], [0.80070... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["101001010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.015174921575760695) q[0];
rz(-0.9882643325319869) q[0];
rx(2.8467434796822504) q[1];
rz(-0.1720560114303269) q[1];
rx(-0.0908466333365755) q[2];
rz(-0.18637535725830112) q[2];
rx(2.5222911552975003) q[3];
rz(1.1628738768178106) q[3];
rx(2.9269051502306214) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIIZZIIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIIZIZII",
"IIZIIIZII",
"IZIIIZIII",
"IIIZIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-1.5,
-1,
-2,
-0.5,
-2,
-0.5,
-0.5
] | 0.972909 | [
-0.015174921575760694,
-0.6767276528378394,
2.8467434796822504,
-0.1047698972383412,
-0.09084663333657551,
-0.06933765104127707,
2.5222911552975003,
1.3423971031818867,
2.9269051502306214,
-0.1433707593648455,
0.09153466011606677,
2.8879488536374915,
-0.15662945080738308,
0.351894429621847... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 22 |
-6875268613906573540 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 6], [8, 2], [1, 2, 4], [8, 1, 5], [3, 4, 7], [0, 3, 5], [8, 6], [0, 1, 2], [0, 4], [0, 1, 3], [2, 3], [8, 3, 4], [1, 6, 7], [2, 5, 6]]} | {"states": [252, 188], "expectation_value": -3.7635202045308835, "params": null, "bitstrings": ["100000011", "101000011"], "total_optimization_steps": 69, "probabilities": [0.15482509253841492, 0.6008460248182168], "optimization_time": 126.19615149497986} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.1666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8333333333333344, "smallest_bitstrings": ["101000011"], "largest_eigenvalue": 11.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.29667596060800694) q[0];
h q[1];
ry(1.7375973652304653) q[1];
h q[2];
ry(-0.4445651716054771) q[2];
h q[3];
ry(1.4755534008788747) q[3];
h q[4];
ry(0.9794823260140095) q[4];
ry(-2.9816075030742804) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[0];
ry(0.2966759606... | 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];\nry(1.5592) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIZIIIIIZ",
"ZIZIIIIII",
"IIZIIIZII",
"IIIIIIZIZ",
"ZIIIIIZII",
"IIZIIIIZI",
"IIIIIIIZZ",
"ZIIIIIIZI",
"IIIIIIZZI",
"IIIIZIIIZ",
"ZIIIZIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIZZIIIII",
"IIIZIIIIZ",
"ZIIZIIIII",
"IIIZIIZII",
"IIIZIIIZI",
"IIIIIZIIZ",
"ZIIIIZIII",
"IIIIIZZII",
"... | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.166666666666... | 0.97075 | [
1.7375973652304653,
1.4755534008788747,
-0.8891303432109542,
0.6463309886137203,
-0.8491316960390372,
-0.5933519212160139,
1.1962080092715455,
0.9794823260140095,
-0.3475114006295861,
1.51178216347388,
-0.7742220509922415,
-0.988565009955598,
0.6027393064174154,
0.192097599529514,
-0.936... | {
"n_parameters": 48,
"n_qubits": 9,
"optimal_eigenvalue": -4.166666666666667,
"target_ratio": 0.97,
"target_value": -4.041666666666667
} | 15 |
-4604205967297380154 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3], [2, 4, 5, 7, 8], [0, 3, 4, 6, 8], [2, 3, 5, 6, 7], [8, 1, 4, 7], [1, 3, 4, 7], [8, 1, 3, 4], [8, 1, 4, 5], [1, 2, 3, 5, 6], [8, 0, 2, 6], [2, 5, 6, 7, 8], [0, 1, 3, 4, 5], [8, 2, 3, 7], [8, 0, 2, 5]]} | {"states": [478, 431], "expectation_value": -2.01567302274256, "params": [[0.3252], [-0.316]], "bitstrings": ["000100001", "001010000"], "total_optimization_steps": 40, "probabilities": [0.0070760688010316, 0.007093809524483622], "optimization_time": 10.029285907745361} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.35 * (Z(3) @ Z(2)) + 0.26666666666666666 * (Z(3) @ Z(0)) + 0.05 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(3)) + 0.2833333333333333 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.15000000000000002 * (Z(5) @ Z(3)) + 0.18333333333333335 * (Z(5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.283333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2, "smallest_bitstrings": ["001010000"], "largest_eigenvalue": 14.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(3.065209734600149) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.0043875317960104954) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.022270131410748482) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.03649366112457674) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIZIIIZII",
"... | [
0.3333333333333333,
0.35,
0.26666666666666666,
0.05,
0.1,
0.26666666666666666,
0.2833333333333333,
0.13333333333333333,
0.15000000000000002,
0.18333333333333335,
0.23333333333333334,
0.21666666666666667,
0.21666666666666667,
0.15000000000000002,
0.35,
0.21666666666666667,
0.216666666... | 0.97181 | [
3.065209734600149,
0.0043875317960104954,
-0.022270131410748482,
0.03649366112457674,
-0.10374240638089571,
-0.004143826343880365,
0.052933720525781255,
-0.062149384069347675,
0.03478717454285287,
0.10637924115549822,
-0.022442426796514488,
1.0247245728487633,
-0.021006390763946965,
0.0264... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -3.283333333333333,
"target_ratio": 0.97,
"target_value": -3.184833333333333
} | 129 |
1663731948582611538 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2], [3, 4], [4, 5], [1, 3], [1, 5], [1, 2], [0, 4]]} | {"states": [45, 13], "expectation_value": -2.233233075375458, "params": null, "bitstrings": ["010010", "110010"], "total_optimization_steps": 40, "probabilities": [0.21035757449912865, 0.6078872219091307], "optimization_time": 34.298094749450684} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["101101", "001101", "100101", "110010", "010010", "011010"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.1863266335416717) q[0];
h q[1];
ry(-0.11935626625236623) q[1];
h q[2];
ry(0.7136046372357391) q[2];
h q[3];
h q[4];
ry(-0.11935626625236623) q[4];
cx q[3], q[4];
ry(0.11935626625236623) q[4];
cx q[3], q[4];
ry(0.7105337526232185) q[3];
ry(-0.51662890708674... | 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 ... | [
"IIIZIZ",
"IZIIIZ",
"IZZIII",
"ZZIIII",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIZIII",
"ZIIIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.979274 | [
-0.23871253250473246,
1.5854544888651563,
1.421067505246437,
-1.0332578141734907,
-0.8838144369726088,
1.4272092744714782,
0.19941144268369554,
0.2323596308731087,
-0.44004008799313876,
-0.3726532670833434,
-0.028364723321445816,
-0.36811908755991357,
0.348130372075309,
0.2002522982678216,... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 15 |
5709738025258929318 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 6, 7], [0, 8], [0, 2, 3, 5], [8, 1, 5, 6], [8, 3, 5], [8, 1, 4, 5], [3, 4, 6, 7], [8, 7], [8, 2, 4, 5], [0, 4, 6], [0, 3, 5, 7], [1, 3, 4], [0, 1, 2, 4], [2, 5, 7]]} | {"states": [117, 410], "expectation_value": -0.12983725581843455, "params": [[0.07050000000000001], [-0.0599]], "bitstrings": ["110001010", "001100101"], "total_optimization_steps": 10, "probabilities": [0.0021411091206134684, 0.002159177683021065], "optimization_time": 8.447177648544312} | 0.25 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.083333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.583333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5000000000000018, "smallest_bitstrings": ["001100101"], "largest_eigenvalue": 12.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-2.2290265126867667e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(1.883203683378813e-08) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-2.2290265126867667e-08) q[6];
cx q[0], q[6];
h q[7];
cx q[2], q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIZZII",
"IIIIIZIIZ",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IIZZIIIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZIZIII",
"... | [
0.25,
0.08333333333333333,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.0... | 0.658915 | [
-2.2290265126867667e-8,
1.883203683378813e-8,
-2.5966939170084173e-8,
7.946671324598587e-8,
6.513952239483219e-9,
1.58168528539202e-7,
1.5707963851649942,
-0.9851106952271366,
1.5707962442394705,
1.5707963094147888,
1.5707964195456798,
-1.5707962926798011
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -3.583333333333332,
"target_ratio": 0.97,
"target_value": -3.475833333333332
} | 393 |
30ba64f2314d12dd7a4bba52fce6e2f0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 2, "target": 4}, {"capaci... | {"states": [21, 31], "expectation_value": -5.074334699257932, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 37, "probabilities": [0.11261830073505118, 0.7491392973575856], "optimization_time": 23.493541955947876} | -0.75 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -1.75 * (Z(2) @ Z(4)) + -0.75 * (Z(1) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + 0.75 * Z(1) + 0.25 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000", "111110", "101110"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.013998913927963777) q[0];
rz(-0.17149443553368027) q[0];
rx(0.9176296645850912) q[1];
rz(-0.008414519479911217) q[1];
rx(-0.07133329756888002) q[2];
rz(-0.28009948850485156) q[2];
rx(-0.07133329756888002) q[3];
rz(-0.21658522262626537) q[3];
rx(0.050114731907889454... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIZIIZ",
"IZZIII",
"IZIIIZ",
"IZIZII",
"IIIZZI",
"ZIZIII",
"ZIIIIZ",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIIIZI",
"ZIIIII"
] | [
-0.75,
-1,
-0.25,
-1.75,
-0.75,
-1,
1.25,
0.25,
-0.25,
-0.5,
-0.5,
0.75,
0.25
] | 0.974597 | [
0.013998913927963777,
-0.17149443553368027,
0.9176296645850912,
-0.008414519479911217,
-0.07133329756888002,
-0.28009948850485156,
-0.21658522262626537,
0.050114731907889454,
0.09333842897412256,
2.434106439818495,
0.40266511199623956
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 9 |
b9d77147a8075a3ab2c92d83b9a01aff | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [13, 15], "expectation_value": -0.5243227229270129, "params": [[0.0765, 0.0746, 0.079], [-0.0762, -0.06960000000000001, -0.07540000000000001]], "bitstrings": ["10010", "10000"], "total_optimization_steps": 10, "probabilities": [0.04904274769822403, 0.05090669462252419], "optimization_time": 2.072067737579345... | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + 1.0 * Z(1) + 0.25 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["10000", "10010"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.3021285901869553) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.043858714499417424) q[1];
cx q[3], q[1];
rz(0.15148676426630026) q[3];
rx(1.6420934673725691) q[3];
h q[4];
cx q[0], q[4];
rz(-0.6058695825523499) 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] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZIIIZ",
"IZIZI",
"ZIIZI",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
-0.25,
0.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
1,
0.25
] | 0.970354 | [
-0.3021285901869553,
-0.6058695825523499,
-0.043858714499417424,
0.1514867642663002,
-1.1554450260119575,
-1.1686368417294875,
1.6420934673725691,
-0.5967042178992558,
-0.4649764029594956,
-0.7324181695780487,
0.37535760010990565,
-0.9130635513536562,
-0.23404186224473988,
0.11806590585545... | {
"n_parameters": 26,
"n_qubits": 5,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 256 |
1b24af073a06b420b0e381d469b6416f | 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": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 7}, {"source": ... | {"states": [319, 1023], "expectation_value": -16.907834342024866, "params": null, "bitstrings": ["1011000000", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.07103812662458286, 0.31783611912585424], "optimization_time": 214.26031255722046} | -1.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -3.5 * (Z(7) @ Z(3)) + -2.0 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(5)) + -3.5 * (Z(1) @ Z(3)) + -3.0 * (Z(1) @ Z(7)) + 1.0 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + 1.0 ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-31.0, -31.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -30.0, "smallest_bitstrings": ["0000000000", "1010000000"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
ry(0.7209401371652037) q[1];
h q[2];
h q[3];
h q[4];
ry(0.1672816125771376) q[4];
h q[5];
ry(0.1672816125771376) q[5];
h q[6];
ry(0.8812675568877277) q[6];
h q[7];
ry(0.1672816125771376) q[7];
cx q[3], q[7];
ry(-0.1672816125771376) q[7];
cx q[3], q[7];
... | null | {"node": 1} | {"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[3], 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] = measu... | [
"IIIIIIIZIZ",
"IIIIZIZIII",
"IIZIZIIIII",
"IIZIIIZIII",
"IZIIZIIIII",
"IZIIIIZIII",
"IZZIIIIIII",
"IIIIZIIIZI",
"IIIIIIZIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIIIIZZIII",
"IIZIIZIIII",
"IZIIIZIIII",
"IIIIIZIIZI",
"ZIIIZIIIII",
"ZIIIIIZIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"ZIIIIIIIZI"... | [
-1.5,
-2.5,
0.5,
-3.5,
-2,
-3,
0.5,
0.5,
-3.5,
-3,
1,
0.5,
-3,
0.5,
1,
0.5,
1,
1,
-3,
-3.5,
-2.5,
1,
-2.5,
-2.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970059 | [
0.3345632251542752,
1.4418802743304073,
-0.15819848464404213,
-0.3937082073211731,
1.315751681909752,
1.7625351137754555,
0.5591040479667093,
0.04273789351572031,
1.112492631866581,
0.0058358602483926094,
0.004872376993855669,
0.009335157479374037,
0.04671359001527622,
-0.4852655709319443,... | {
"n_parameters": 83,
"n_qubits": 10,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 350 |
3469748cd4dcce50adb557c4a78b9b74 | 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": [839, 583], "expectation_value": -91.94972434471816, "params": [0.2796, -0.0058000000000000005, 0.8006000000000001, -0.0233, 0.5393, 0.29450000000000004, 0.3297, -0.23190000000000002, 0.8046000000000001, -0.0103, 0.1746, -0.3714, 0.0033, 0.5717, 0.42510000000000003, -0.23850000000000002, 0.796, -0.0722, 0.78... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(4) @ Z(1)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(10) @ Z(7)) + 8.0 * (Z(2) @ Z(10)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(10)) + -5.0 * Z(0) + 15.0 * Z(1) + 4.5 * Z(3) + 14.0 * Z(4)... | 4 | 11 | 3 | {"smallest_eigenvalues": [-128.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -122.0, "smallest_bitstrings": ["10110111000"], "largest_eigenvalue": 196.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.3728648896602097) q[0];
rz(1.6041763272347556) q[0];
rx(0.7430728840807483) q[1];
rz(1.7428345195219261) q[1];
rx(0.20089593646852397) q[2];
rz(1.91662308169641) q[2];
rx(0.2723250866690023) q[3];
rz(1.3071077027400984) q[3];
rx(0.9661669078005948) q[4];
rz(1.2687... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIZIIZI",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIZZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"ZIIIIIIIZII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-5,
15,
4.5,
14,
-3.5,
13.5,
10.5,
24.5,
-4.5,
16,
-15
] | 0.974668 | [
0.37286488966020964,
0.0333800004398585,
0.7430728840807483,
0.17203819272702944,
0.20089593646852397,
0.34582675490151327,
0.27232508666900224,
-0.2636886240547981,
0.9661669078005948,
-0.30201211337804756,
-0.007642489043116582,
-0.3183108817157606,
0.2110367655777811,
0.4651881161157343... | {
"n_parameters": 94,
"n_qubits": 11,
"optimal_eigenvalue": -128,
"target_ratio": 0.97,
"target_value": -124.16
} | 19 |
6239896877e60cfc31753929f841fc82 | 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": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [228, 224], "expectation_value": -2.9871932022824286, "params": [[[0.8266, -0.0043], [0.9096000000000001, 0.0021000000000000003], [0.8985000000000001, 0.0011], [-0.0024000000000000002, 0.4168], [-0.0018000000000000002, 0.35800000000000004], [0.7464000000000001, -0.048600000000000004], [-0.0027, 0.59200000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(3) @ Z(0) @ Z(1)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0... | 1 | 8 | 2 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["10011011", "00011111"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(2.267033166528133) q[0];
ry(2.738433044189436) q[0];
rz(-0.9801669812512683) q[0];
rz(2.2137142223478516) q[1];
ry(2.9986136289953054) q[1];
rz(-1.0066718283567662) q[1];
rz(-3.1234463270136814) q[2];
ry(2.776258307344499) q[2];
rz(0.17117716932480764) q[2];
rz(-0.30... | OPENQASM 3.0;
include "stdgates.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",
"IIZIIIIZ",
"ZIIIIIZI",
"IIIZIZII",
"IIZIIZII",
"IZIIIZII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IIZZIZII",
"IZIZIZII",
"IZZIIZII",
"IZZZIII... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.125,
-0.125,
0.25,
-0.625,
-0.625,
-0.125,
-0.625,
-1
] | 0.97539 | [
1.3613043233815232,
0.2557405829261492,
1.6158195113804803,
0.08663065169009523,
1.5300768965138192,
0.3656505994424667,
0.1790736735369144,
0.5703649082018947,
0.10663009550928317,
1.053591081184969,
0.018381809412542714,
0.12292938274927784,
-0.047419903415462,
0.7177643026543236,
0.01... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 19 |
b6baad67864f2ddcbb0ef04d2a8f04ff | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [399, 143], "expectation_value": -50.637168366809654, "params": [0.7907000000000001, 0.3458, 1.1976, 0.0036000000000000003, -0.0018000000000000002, 0.78, -0.005200000000000001, -0.5811000000000001, 0.19090000000000001, -0.49920000000000003, 1.2022000000000002, -0.0055000000000000005, 1.1997, 0.0025, 1.203, 0... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(2) @ Z(6)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(7) @ Z(8)) + 6.0 * (Z(4) @ Z(7)) + 5.5 * Z(1) + 7.0 * Z(0) + -2.5 * Z(3) + 13.5 * Z(5) + 8.0 * Z(6) + -5.5 * Z(2) + 15.5 * Z(8) + 9.0 * Z(7) + -1.0 * Z(4) | 18 | 9 | 2 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["101110000"], "largest_eigenvalue": 103.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.2933309083289678) q[0];
rz(0.4712901820939188) q[0];
rx(0.9277313463207489) q[1];
rz(0.12206891551122488) q[1];
rx(0.08181217928249501) q[2];
rz(-0.6230874411143144) q[2];
rx(-0.18403746722365788) q[3];
rz(0.3355731337602824) q[3];
rx(-0.07720395646609882) 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, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIZIIIIZ",
"IIZZIIIII",
"IIZIIIZII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIZIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
5.5,
7,
-2.5,
13.5,
8,
-5.5,
15.5,
9,
-1
] | 0.977045 | [
0.2933309083289678,
0.22192888204112185,
0.9277313463207489,
0.12206891551122488,
0.08181217928249501,
-0.6230874411143144,
-0.18403746722365788,
0.3355731337602824,
-0.07720395646609882,
0.37957231890682075,
1.2470339149155112,
-0.03133266575085392,
0.848476215980806,
-0.01825485739059242... | {
"n_parameters": 73,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 8 |
6dcebdcd4bb157137b270600bc2c3966 | 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": 1}, {"source": 1, "target": 2}, {"sourc... | {"states": [2047, 30719], "expectation_value": -9.771856546981722, "params": [[[-0.0028, 0.0018000000000000002], [-0.0021000000000000003, 0.0049], [1.5756000000000001, 0.0094], [1.7098, 0.007500000000000001], [-0.0669, 0.0008], [-0.0026000000000000003, 0.0058000000000000005], [0.0022, 0.0029000000000000002], [1.4666000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + -1.0 * (Z(10) @ Z(11)) + -1.5 * (Z(12) @ Z(14)) + -1.5 * (Z(13) @ Z(14)) + 0.5 * (Z(13) @ Z(12)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -... | 2 | 15 | 1 | {"smallest_eigenvalues": [-17.500000000000043], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.50000000000006, "smallest_bitstrings": ["000100000000000"], "largest_eigenvalue": 16.50000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(-0.00010963531313293271) q[0];
rz(-1.374819099959605) q[0];
rx(3.201973029738392e-05) q[1];
rz(-0.3355055271159275) q[1];
rx(3.1418825819637197) q[2];
rz(-1.2065558037951085) q[2];
rx(3.14158241353769) q[3];
rz(2.013709050364947) q[3];
rx(-6.036567656035605e-05) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIIIZZIII",
"IIIIIIIIZZIIIII",
"IIIIIIIZZIIIIII",
"IIIIIIIZIZIIIII",
"IIIIIZZIIIIIIII",
"IIIZZIIIIIIIIII",
"ZIZIIIIIIIIIIII",
"ZZIIIIIIIIIIIII",
"IZZIIIIIIIIIIII",
"IIIIIIIIIIIIIZI",
"IIIIIIIIIIIIIIZ",
"IIIIIIIIIIIIZII",
"... | [
-1.5,
-1.5,
0.5,
0.5,
-1.5,
-1.5,
0.5,
-1,
-1,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.942857 | [
-0.00010963531313293271,
-1.374819099959605,
0.00003201973029738392,
-0.3355055271159275,
3.1418825819637197,
-1.2065558037951085,
3.14158241353769,
2.013709050364947,
-0.00006036567656035605,
-0.1766480004340062,
0.0001015882930813931,
-2.285923367947232,
-0.00004167189742021723,
0.122846... | {
"n_parameters": 28,
"n_qubits": 15,
"optimal_eigenvalue": -17.500000000000043,
"target_ratio": 0.97,
"target_value": -16.97500000000004
} | 300 |
40a3686841126450928dceb82dd758e7 | 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": 1, "target": 6}, {"weight": 12, "source": 1, "target": 8}, {"weight": 9, "source... | {"states": [470, 214], "expectation_value": -72.81941042089282, "params": [0.1241, 0.1254, 0.0936, 0.126, 0.2921, -0.0007, 0.2847, -0.0018000000000000002, 0.2887, 0.00030000000000000003, 0.2964, -0.0064, 0.0896, -0.1126, 0.08900000000000001, -0.1178, 0.2977, -0.0045000000000000005, 0.2891, -0.004200000000000001, 0.0988... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 17.0 * Z(1) + 2.0 * Z(0) + 16.0 * Z(2) + 14.5 * Z(4) + -... | 6 | 9 | 4 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 137.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.010535229166592759) q[0];
rz(1.6708505586772517) q[0];
rx(0.05659682923711071) q[1];
rz(1.5941089775117891) q[1];
rx(0.3008851414713372) q[2];
rz(0.9482688896638329) q[2];
rx(-0.09419481840028127) q[3];
rz(1.4583930581532467) q[3];
rx(-0.07940964065019382) 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": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIZII",
"IZZIIIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
17,
2,
16,
14.5,
-0.5,
11,
1.5,
14,
1.5
] | 0.974347 | [
0.01053522916659276,
0.10005423188235504,
0.056596829237110714,
0.023312650716893007,
0.3008851414713372,
-0.6225274371310635,
-0.09419481840028124,
-0.11240326864165058,
-0.0794096406501938,
-0.319143768372443,
0.15500528475502906,
-0.2247971232511546,
0.10163290760664283,
0.4183081527090... | {
"n_parameters": 173,
"n_qubits": 9,
"optimal_eigenvalue": -78,
"target_ratio": 0.97,
"target_value": -75.66
} | 191 |
1f004d7ba4b4dbe69a30d8efdf409fa2 | 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": [423, 167], "expectation_value": -95.90007143425686, "params": [0.0027, 1.0277, 0.0032, 0.9095000000000001, 0.7359, 0.38630000000000003, 1.4016, 0.27390000000000003, 0.3544, 0.7227, 1.4079000000000002, -0.003, -0.0017000000000000001, -0.097, -0.002, -0.6464000000000001, 1.3919000000000001, 0.2151, 1.39400000... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(5)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(4)) + 7.5 * (Z(10) @ Z(9)) + 8.0 * Z(3) + 11.0 * Z(2) + 9.5 * Z(5) + -7.0 * Z(1) + 2.0 * Z(4) + -3.0 * Z(7) + 9.0 * Z(8) + 15.5 * Z(9) + 10.0 * Z(10)... | 18 | 11 | 2 | {"smallest_eigenvalues": [-111.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -102.5, "smallest_bitstrings": ["11101011000"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.07202848361075262) q[0];
rz(0.867991016163618) q[0];
rx(-0.002977437900852073) q[1];
rz(0.8943662902240176) q[1];
rx(0.08476806911423813) q[2];
rz(0.12522461162002846) q[2];
rx(1.4827217844513256) q[3];
rz(0.41970587542888704) q[3];
rx(0.07164490458736546) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZII",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIZIIIZIII",
"IIZIIIIIZII",
"IZIIIIIIZII",
"IZZIIIIIIII",
"ZIIIIIZIIII",
"ZZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIZIIIII",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIZIIIIIIII",
"IZIIIIIIIII",
"ZIIIIIIIIII",
"IIIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
8,
11,
9.5,
-7,
2,
-3,
9,
15.5,
10,
-13.5,
-11.5
] | 0.972762 | [
-0.07202848361075262,
0.8918531282070438,
-0.002977437900852073,
0.8943662902240176,
0.08476806911423813,
0.12522461162002846,
1.4827217844513256,
0.41970587542888704,
0.07164490458736546,
0.6266174086564295,
1.5997582055686344,
-0.0014633298979484927,
0.06414241614534935,
-0.0338547333838... | {
"n_parameters": 61,
"n_qubits": 11,
"optimal_eigenvalue": -111.5,
"target_ratio": 0.97,
"target_value": -108.155
} | 10 |
99b9f292e0807babec03416b96e514f4 | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"sour... | {"states": [56, 248], "expectation_value": -0.8905976025033291, "params": [[0.0781], [-0.0834]], "bitstrings": ["11000111", "00000111"], "total_optimization_steps": 10, "probabilities": [0.00557278965889555, 0.005851028624653681], "optimization_time": 0.5376794338226318} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -1.5 * Z(6) + 1.5 * Z(5) + -1.5 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.01492407457817137) q[0];
cx q[1], q[0];
rz(1.0250945737963377) q[0];
rx(-1.5585060387484628) q[0];
rz(1.0250945737963377) q[1];
rx(-1.5585060387484628) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.16396593696266856) q[2];
cx q[3], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2]... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1,
-1.5,
0.5,
-1.5,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1.5,
-1.5
] | 0.59889 | [
-0.01492407457817137,
0.16396593696266856,
1.0250945737963377,
-1.5613167920627937,
-1.5596815879923847,
0.00005155476371507499,
-1.5585060387484628
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 197 |
444b62b2304e1a19fde52e526911bdcb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 12], "expectation_value": -0.030782266198321334, "params": [[0.0308], [-0.0218]], "bitstrings": ["111100", "110011"], "total_optimization_steps": 10, "probabilities": [0.01583597503434314, 0.01583597503434314], "optimization_time": 1.4504098892211914} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["010111", "101101", "011101", "110011", "100111", "111100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.48422120993676504) q[1];
cx q[0], q[1];
ry(0.48422120993676504) q[1];
cx q[0], q[1];
ry(1.0591314364533853) q[0];
ry(-0.6600466468166103) q[1];
h q[2];
ry(-0.5491677298042162) q[2];
rz(-pi) q[3];
ry(-0.04868280451431047) q[3];
h q[4];
cx q[4], q[2]... | 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[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(x0) q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"ZIIZII",
"IZZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-0.5
] | 0.976114 | [
-1.666160731733247,
-1.5941893273604293,
-0.9684424198735301,
-1.0983354596084325,
0.7452689593608157,
-0.45783046300707414,
0.6277249541851395,
0.3314326109608061,
-0.36579028926250506,
-0.4044323676190723,
0.10034882564473999,
0.012300798927506712,
-0.010927107153268584,
-0.1512815340929... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
72ec18873d3dc55875c8efef46485470 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [23, 31], "expectation_value": -7.754560702134296, "params": null, "bitstrings": ["101000", "100000"], "total_optimization_steps": 61, "probabilities": [0.09911762242074067, 0.6587799551517071], "optimization_time": 52.6119921207428} | -1.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + -2.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + 2.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(4) + -0.25 * Z(1) + 0.75 * Z(2) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(0.6718764267967782) q[1];
h q[2];
h q[3];
ry(0.6718764267967782) q[3];
cx q[2], q[3];
ry(-0.6718764267967782) q[3];
cx q[2], q[3];
ry(1.5535753734037667) q[2];
cx q[2], q[1];
ry(-0.6718764267967782) q[1];
cx q[2], q[1];
ry(0.8533483681362799) q[3];
h ... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IZIIZI",
"IIZZII",
"IZIZII",
"IIIZZI",
"ZIZIII",
"ZIIIIZ",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.25,
-0.75,
-1,
-1.25,
-2.5,
-2.25,
-1,
-1.25,
2.25,
-1,
1,
-0.25,
-1.25,
-0.25,
0.75,
0
] | 0.97048 | [
1.3437528535935563,
1.5535753734037667,
0.8533483681362799,
-0.9362082007339845,
0.4623959360555589,
0.35436786059694586,
0.04302867212514143,
0.0500982270858599,
-1.6453394811112914,
-0.9180761020979388,
-1.558383651126498,
1.0819988838696692,
1.0170011116603797,
-0.25552214888759683,
-... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 108 |
7bc4dde9a09d0b94c5097b219891d81a | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [1949, 3485], "expectation_value": -6.93067462346183, "params": null, "bitstrings": ["100001100010", "001001100010"], "total_optimization_steps": 100, "probabilities": [0.060871614420582795, 0.8703448869995719], "optimization_time": 249.77853918075562} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * ... | 1 | 12 | 4 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -6.0, "smallest_bitstrings": ["010010100001", "010001010100", "010010001100", "001100001010", "010100010001", "001001100010", "001010001100", "100001100010", "... | 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.... | null | {"number_of_colors": 3} | {"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];\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] = measure q[4];... | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIIIIZIII",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIZIIII",
"IZIIZIIIIIII",
"IZIIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25
] | 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 |
5dad688a93671469362a3d3d00961b05 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [26, 11], "expectation_value": -2.9999374806790073, "params": null, "bitstrings": ["00101", "10100"], "total_optimization_steps": 22, "probabilities": [1.6356888979690063e-05, 0.99996874101375], "optimization_time": 12.683220148086548} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(1.054375204004865) q[0];
ry(1.2513372356561656) q[1];
ry(0.2824769594172304) q[2];
ry(1.4848254273950985) q[3];
ry(1.7704547616171795) q[4];
ry(-0.13250446412763625) q[5];
ry(-0.49590506331342876) q[6];
ry(1.052494121858556) q[7];
ry(0.7429880399328006) q[8];
ry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"ZIZII",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
0
] | 0.975061 | [
1.054375204004865,
1.2513372356561656,
0.2824769594172304,
1.4848254273950985,
1.7704547616171795,
-0.13250446412763625,
-0.49590506331342876,
1.052494121858556,
0.7429880399328006,
0.41317392976743855,
2.5434800341621466,
1.571476038864509,
1.6619437044267633,
0.026188563071984666,
1.62... | {
"n_parameters": 45,
"n_qubits": 15,
"optimal_eigenvalue": -8.749999999999972,
"target_ratio": 0.97,
"target_value": -8.487499999999972
} | 53 |
-5308694968430966832 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 6], [4, 7], [3, 4, 5], [1, 7], [0, 2, 4]]} | {"states": [122, 181], "expectation_value": -0.4477745428011749, "params": [[-0.2666], [0.2781]], "bitstrings": ["10000101", "01001010"], "total_optimization_steps": 30, "probabilities": [0.008186584149184592, 0.008192448335230335], "optimization_time": 6.054579973220825} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.16666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.9999999999999998, "smallest_bitstrings": ["10000101", "01001010"], "largest_eigenvalue": 3.9999999999999996} | 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[0];
rz(-0.34854673862517627) q[0];
cx q[3], q[0];
h q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(-0.34854673862517627) q[6];
cx q[3], q[6];
cx q[0], q[6];
cx q[3], q[4];
rz(-0.34854673862517627) q[4];
cx q[3], q[4];
cx q[3], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(x0) q[6];
cx q[3], q[6];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIZIII",
"IZIIIIIZ",
"IIIZZIII",
"IIIZIIIZ",
"ZIIZIIII",
"IIZIZIII",
"IIZZIIII",
"ZIIIIIZI",
"IIIIIZIZ",
"IIIZIZII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIZI",
"IIIIIZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.33333333333333326,
0,
... | 0.569792 | [
-0.34854673862517627,
-0.9503069200637113,
-0.628408348058389,
0.09287841731337156,
0.8010321255885097
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 125 |
caf35114cd2a6c8ee1f15868fb61caaf | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [31, 95], "expectation_value": -2.4077582421945363, "params": [-0.0059, 0.1819, 0.0013000000000000002, 0.24100000000000002, 0.0907, 0.14300000000000002, 0.0878, 0.1457, 0.1831, 0.13290000000000002, 0.1834, 0.15460000000000002, 0.2298, 0.06520000000000001, 0.2278, 0.0766, 0.0748, 0.1381, 0.0745, 0.1443, 0.301... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(0) @ Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(5) @ Z(7)) + -0.125 * (Z(0) @ Z(6) @ Z(7)) + -0.125 * (Z(5) @ Z(6) @ Z(7)) + 0.12... | 7 | 10 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.625, "smallest_bitstrings": ["1100100010", "1011000001", "1100101000", "1101000100", "1101000001", "1010100010", "1101100000", "1110100000", "101010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3749281718942854) q[0];
h q[1];
ry(1.436274641141968) q[1];
h q[2];
rz(-pi) q[3];
ry(-0.0027262288444135988) q[3];
ry(-0.01206206755472066) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.546424165316911) q[5];
h q[6];
ry(-0.6161330637769687) q[6];
cx q[2], q[6];
ry(0.61... | 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": []} | [
"IIIIIIIZZI",
"IIIIIZZIII",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIIZZIIIIZ",
"IIZIZIIIIZ",
"IIZZIIIIIZ",
"IIZZZIIIII",
"IIZZZIIIIZ",
"IIIIZIIIZI",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"IZIIZIIIII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IZIIZIIIZI"... | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
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0.125,
0.125,
0.125,
0.125,
0.125,
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0.125,
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0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.... | 0.994718 | [
-1.546424165316911,
-1.5348459439607316,
-1.450976241884169,
1.436274641141968,
1.3749281718942854,
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0.6835045182460581,
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0.5727281584325545,
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0.15136107694265455,
-0.19566383028535825,
-0.2450926275102824,
0.21137010648256874,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
71bc29fb36488a293ce19bf05d480b6c | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [14, 7], "expectation_value": -11.896620911381653, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 62, "probabilities": [0.2659414976749875, 0.3663991039278829], "optimization_time": 83.11861300468445} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 18 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6612840374081045) q[0];
rz(-pi) q[1];
ry(-0.03150573110831684) q[1];
h q[2];
ry(-0.43599685318391757) q[2];
h q[3];
h q[4];
ry(1.546350830551531) q[4];
h q[5];
cx q[5], q[2];
ry(0.43599685318391757) q[2];
cx q[5], q[2];
cx q[5], q[0];
ry(0.6612840374081045... | null | {"k": 4} | {"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(-1.4894) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
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2.5,
2.5,
2.5,
2.25,
2.25,
-3.75,
-3.25,
-3.25,
-3.25,
-2.75,
-3,
-3.25
] | 0.972365 | [
-1.523491197219107,
-0.20073046165090452,
-0.8719937063678351,
1.546350830551531,
-1.322568074816209,
0.7336476421619882,
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1.2696012849732945,
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0.30413099721442094,
-0.6531582873808613,
0.3365504327496698,
-0.7065468577519943,
0.3133726368643047,
... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 71 |
5144181ac27497fdfa9bdb5b8b799630 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [0, 6], "expectation_value": -1.4999059353941624, "params": null, "bitstrings": ["111", "001"], "total_optimization_steps": 9, "probabilities": [1.7262078512802632e-05, 0.9999395445786815], "optimization_time": 2.243494749069214} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 3 | 2 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[2];\nry(1.4417) ... | [
"ZIZ",
"ZZI",
"ZII",
"IIZ",
"IZI"
] | [
0.5,
0.5,
-0.5,
0,
0
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
5144181ac27497fdfa9bdb5b8b799630 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [2, 0], "expectation_value": -0.12973330130863114, "params": [[-0.0402, -0.028200000000000003, -0.08020000000000001], [0.055200000000000006, 0.020800000000000003, 0.0673]], "bitstrings": ["01", "11"], "total_optimization_steps": 10, "probabilities": [0.2620134619254166, 0.26441313243903314], "optimization_ti... | 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -1.0 * Z(1) | 1 | 2 | 3 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["11"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[2] c;
qubit[2] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
rz(x1) q[0];
rz(x1) q... | null | {"circuits": [], "gradients": []} | [
"ZZ",
"IZ",
"ZI"
] | [
0.5,
-1,
-1
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
c318eeb7eb4d2406be835b244ee73c46 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [3525, 3557], "expectation_value": -4.037803316890082, "params": [[[3.1619, 0.0097], [3.1619, 0.0008], [0.0023, 0.006500000000000001], [3.1614, 0.0008], [3.1617, 0.0006000000000000001], [3.1581, 0.007], [1.6702000000000001, 0.0092], [-0.007200000000000001, 0.0071], [0.0025, 0.0083], [3.1580000000000004, 0.00... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.6875, -4.6875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.6875, "smallest_bitstrings": ["001000011010", "001000101001"], "largest_eigenvalue": 7.3125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.222009305263774) q[0];
rz(0.02993733841064053) q[0];
rx(3.222009305263774) q[1];
rz(-0.10725751286918733) q[1];
rx(-0.004381453875330406) q[2];
rz(0.34325960522185717) q[2];
rx(2.845325284693343) q[3];
rz(-0.10725751286918733) q[3];
rx(3.2732522268555404) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIZIIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIZIZIZ",
"IIIIIIIZZIIZ",
"IIIIIIIIZZZI",
"IIIIIIIZI... | [
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,
0.25... | 0.971602 | [
3.222009305263774,
0.02993733841064053,
-0.10725751286918733,
-0.004381453875330406,
0.34325960522185717,
2.845325284693343,
3.2732522268555404,
-0.4355920079469716,
3.1769088322409393,
-0.12312498954681914,
2.6401013414468104,
-0.10753584793602278,
0.09444531574852082,
0.01312135500112879... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -4.6875,
"target_ratio": 0.97,
"target_value": -4.546875
} | 8 |
3fa23bf7f5997a6a9414c1a1e69c52c7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [934, 935], "expectation_value": -1.6246211983740737, "params": [0.1237, 0.1221, 0.39730000000000004, 0.40490000000000004, 0.3936, 0.40090000000000003, 0.3356, 0.33340000000000003, 0.1776, 0.1784, 0.3976, 0.3977, 0.0663, 0.0592, 0.1822, 0.17800000000000002, 0.4005, 0.3986, 0.3962, 0.3937, 0.274, 0.2692, 0.11... | 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... | 14 | 11 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 23, "first_excited_energy": -2.375, "smallest_bitstrings": ["10000011100", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.029643966180166743) q[0];
rz(pi/2) q[0];
ry(0.39178513511322344) q[1];
ry(0.5427525155537967) q[2];
ry(0.6478381394613815) q[3];
ry(-0.15685193254960966) q[4];
ry(0.7977211775464561) q[5];
ry(0.012833035072556176) q[6];
ry(0.45690880233197506) q[7];
ry(0.544582172... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"IIIIZZIIIZI",
"IIIZIIIIZII",
"IIZIIIIIZII",
"IZIIIIIIZ... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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0.125,
0.5,
0.25,
0.25,
0.25,
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0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0... | 0.972422 | [
0.029643966180166743,
0.39178513511322344,
0.5427525155537967,
0.6478381394613815,
-0.15685193254960966,
0.7977211775464561,
0.012833035072556176,
0.45690880233197506,
0.544582172894911,
0.6323381310406062,
1.016732492214451,
-0.0003542391823376928,
0.22394637271809345,
-0.2559326348028659... | {
"n_parameters": 125,
"n_qubits": 11,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 32 |
88581816fb6e97027c4dcc636c8ecee6 | 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": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target":... | {"states": [0, 504], "expectation_value": -14.061384193220686, "params": [-0.3129, -0.38380000000000003, 0.7367, 0.0025, 0.9341, 1.1117000000000001, -0.8350000000000001, 0.0041, 0.9964000000000001, 1.3723, 0.47800000000000004, 0.0095, -0.9401, 1.4541000000000002, 0.07490000000000001, 0.0036000000000000003, -0.9344, 1.7... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(8)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(5) + -1.5 * Z(8) + -... | 6 | 9 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["000000111"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-1.036471882492324) q[0];
rz(1.5767608835348934) q[0];
rx(0.46634686347506116) q[1];
rz(-1.930602952067125) q[1];
rx(-3.1045538203349876) q[2];
rz(2.121225668352027) q[2];
rx(3.1353849156835922) q[3];
rz(-2.1643907194136816) q[3];
rx(-0.38689872235212197) q[4];
rz(-1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIZIII",
"IIIZIIZII",
"IIIZZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
-1,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-2,
-2,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.972657 | [
-1.036471882492324,
0.005964556739996853,
0.46634686347506116,
2.781786028317564,
3.178631486844599,
0.5504293415571301,
-3.1478003914959944,
2.5479982609710086,
-0.38689872235212197,
3.0005779731653504,
-0.27076865428442964,
2.957621650994268,
-0.035513463286696856,
1.9726303002638241,
... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 282 |
5a1527813da7c534130c872b3bb3e98c | 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": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, ... | {"states": [127, 109], "expectation_value": -1.9702340213411025, "params": [[-0.1416], [0.1494]], "bitstrings": ["10000000", "10010010"], "total_optimization_steps": 20, "probabilities": [0.009830335741712706, 0.010946548547485557], "optimization_time": 2.16900372505188} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + 0.0 * Z(4) + -0.25 * Z(0) + -2.25 * Z(6... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.29304397876910926) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.02674098017791228) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(-0.04175429471611432) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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];... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IIIZIIZI",
"IZIIIIZI",
"IIIZIZII",
"IZIIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"IIZZIIII",
"IZZIIIII",
"IZIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIZIIIII",
"IIIIZIII"
] | [
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-1,
-0.75,
1.25,
-1.25,
-1,
-0.5,
-1,
0,
-0.25,
-2.25,
1,
1,
0,
1.5,
-1
] | 0.971046 | [
0.29304397876910926,
0.02674098017791228,
-0.04175429471611432,
0.31653577106034975,
-0.7674656124835568,
0.11950634229219104,
-0.8301752525936286,
0.7774601513321433,
-0.3757443019400376,
-0.4588934753783208,
1.4706729354158479,
0.367692223145139,
0.11452940949680336,
-0.16572355263815042... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 167 |
04fe200220cb0278b572d83172c75de9 | 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": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [5, 1], "expectation_value": -8.105676440264595, "params": [[[0.0033, 0.35750000000000004], [0.0024000000000000002, 0.45080000000000003], [0.0018000000000000002, 0.4561], [0.0022, 0.38580000000000003], [0.45990000000000003, -0.0057], [0.0034000000000000002, 0.43920000000000003], [0.6079, 0.004]], [[0.0018000... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + -0.75 * Z(5) + 0.75 * Z(6) + 0.0 * Z(3) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111110", "1111010"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.06130815730018118) q[0];
rz(0.463469290764003) q[0];
rx(-0.07581104059622698) q[1];
rz(0.0489247887747748) q[1];
rx(-0.011251041592074667) q[2];
rz(-0.5619835883705591) q[2];
rx(-0.00789090442000682) q[3];
rz(0.27967715048844255) q[3];
rx(0.20171769347520233) 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": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IZIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIIZZII",
"IZIZIII",
"IIZIIZI",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.75,
-1,
-1.25,
1,
-0.25,
-0.75,
-0.75,
-0.5,
-1,
-1,
-0.25,
-0.25,
-1.5,
-0.75,
0.75,
0,
2
] | 0.976998 | [
-0.061308157300181174,
0.30964234416005165,
-0.07581104059622698,
-0.17585963221822506,
-0.01125104159207467,
-0.4382858872484008,
-0.007890904420006818,
0.39046647275242663,
0.2017176934752023,
-0.3470176638746595,
0.08692341497440934,
-0.309682958908232,
0.7849760118838354,
0.03717952235... | {
"n_parameters": 71,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 5 |
9b8c0ccb32d0f88d964f624767035a96 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [1, 9], "expectation_value": -11.499987376023428, "params": null, "bitstrings": ["11111110", "11110110"], "total_optimization_steps": 32, "probabilities": [1.2623237149556206e-05, 0.9999873766793562], "optimization_time": 23.13545060157776} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + 2.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + -0.75 * Z(6) + 0.75 * Z(2) + -1.0 * Z(3) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11110110"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.39636875710932784) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.025445399608615533) q[2];
cx q[1], q[2];
rz(0.7435363741497949) q[1];
rx(1.5892963016699295) q[1];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.025383228227577177) q[4];
cx ... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIIZZI",
"IIIZZIII",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-1.25,
-0.25,
-0.75,
-0.25,
-1.5,
2.25,
-0.75,
-1,
-0.25,
0.5,
-0.75,
0.75,
-1,
0.25,
1.5
] | 0.928057 | [
0.39636875710932784,
-0.025383228227577177,
-0.025445399608615533,
0.48494604258427165,
-0.12110685350730785,
-0.06267444957194843,
0.7435363741497948,
-0.5272969720301025,
0.8112275368431179,
0.6305407508444273,
-0.6721587925890405,
1.5892963016699295,
0.6494780915974173,
-0.0574263798070... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 500 |
-8672227185390543395 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4, 5, 6], [0, 3, 4, 5, 6], [0, 1, 2, 3, 4, 6, 7], [0, 1, 2, 3, 4, 5, 7], [1, 3, 5, 6, 7]]} | {"states": [231, 175], "expectation_value": -0.44664794186055135, "params": [0.905, 0.002, 0.9011, 0.0017000000000000001, 0.9024000000000001, 0.0021000000000000003, 0.8987, 0.0014, 0.8937, -0.0008, 0.8977, 0.004200000000000001, 0.8914000000000001, 0.0022, 0.891, 0.0023, 0.903, 0.0021000000000000003, 0.9028, 0.003400000... | 0.13095238095238093 * (Z(1) @ Z(4)) + 0.15714285714285714 * (Z(5) @ Z(4)) + 0.15714285714285714 * (Z(5) @ Z(1)) + 0.15714285714285714 * (Z(6) @ Z(4)) + 0.15714285714285714 * (Z(6) @ Z(1)) + 0.18333333333333335 * (Z(6) @ Z(5)) + 0.09761904761904762 * (Z(0) @ Z(4)) + 0.047619047619047616 * (Z(0) @ Z(1)) + 0.0738095238095... | 6 | 8 | 1 | {"smallest_eigenvalues": [-1.030952380952381], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0309523809523808, "smallest_bitstrings": ["01010000"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.8640898812282656) q[0];
rz(1.3228385995045873) q[0];
rx(-0.16151039527505978) q[1];
rz(1.67848976879222) q[1];
rx(1.4536994035597695) q[2];
rz(2.03771242298348) q[2];
rx(1.6569467025297522) q[3];
rz(1.5828510888907825) q[3];
rx(1.6140514157276593) q[4];
rz(1.678489... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIZIIZI",
"IIZZIIII",
"IIZIIIZI",
"IZIZIIII",
"IZIIIIZI",
"IZZIIIII",
"IIIZIIIZ",
"IIIIIIZZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIZZIII",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIIIZIIZ",
"IIIZIZII",
"IIIIIZZI",
"IIZIIZII",
"IZIIIZII",
"IIIIIZIZ",
"IIIIZZII",
"ZIIZIIII",
"ZIIIIIZ... | [
0.13095238095238093,
0.15714285714285714,
0.15714285714285714,
0.15714285714285714,
0.15714285714285714,
0.18333333333333335,
0.09761904761904762,
0.047619047619047616,
0.07380952380952381,
0.07380952380952381,
0.09761904761904762,
0.09761904761904762,
0.12380952380952381,
0.12380952380952... | 0.970208 | [
0.8640898812282655,
-0.2479577272903098,
-0.16151039527505978,
0.10769344199732356,
1.4536994035597692,
0.4669160961885832,
1.6569467025297522,
0.01205476209588649,
1.6140514157276593,
1.8399653807060055,
-0.00900901961365383,
1.456062484377527,
-0.12619916125725522,
1.6258797681984563,
... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -1.030952380952381,
"target_ratio": 0.97,
"target_value": -1.0000238095238096
} | 74 |
79f35b6d03d414c940de063a7b2cae82 | 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": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 8}, {"source": 2, "target": 4}, {"sour... | {"states": [154, 158], "expectation_value": -2.559662600711816, "params": [0.6062000000000001, 0.0009000000000000001, 0.2916, 0.0002, 0.7049000000000001, -0.0012000000000000001, 0.7049000000000001, 0.0016, 0.2617, -0.0023, 0.23390000000000002, 0.0002, 0.6998000000000001, 0.0007, 0.43410000000000004, 0.004, 0.7070000000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(6) + -1.0 * Z(0) + 0.0 * Z(7) + -0.5 * Z(8) + 0.0 * Z(1) + -1.0 * Z(2) + 0.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(3) | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["111100000", "101100001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.431375685641987) q[0];
rz(1.5767430373153033) q[0];
rx(1.5513555546632303) q[1];
rz(1.5155063469856387) q[1];
rx(0.11450293339592074) q[2];
rz(1.2446689875564658) q[2];
rx(0.7137382664596563) q[3];
rz(1.6103285237197884) q[3];
rx(1.2141752167589852) q[4];
rz(1.7328... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIZIIIIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIZIIIZII",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIZIII",
"IIIZIZIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0,
-0.5,
0,
-1,
0,
-0.5,
-0.5
] | 0.973848 | [
0.4313756856419869,
0.005946710520406989,
1.55135555466323,
-0.05528997980925764,
0.11450293339592074,
-0.3261273392384312,
0.7137382664596564,
0.03953219692489133,
1.2141752167589852,
0.16202875651079668,
0.9694305336767237,
0.27255395264563065,
1.3023196842465423,
0.20739690873842376,
... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 93 |
-1134279149863488685 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 2, 3, 4, 7, 8, 9, 10], [0, 2, 3, 4, 5, 6, 7, 8, 9, 10], [0, 1, 2, 4, 5, 7, 8, 9], [1, 2, 6, 9, 10], [1, 3, 4, 5, 6, 9, 10], [1, 6, 7, 8, 9], [0, 1, 2, 5, 6, 7, 9], [0, 1, 2, 3, 5, 7, 9], [1, 3, 6, 7]]} | {"states": [1643, 1771], "expectation_value": -1.6590642257108903, "params": [1.5759, 1.57, 1.5645, 1.5714000000000001, 0.1034, 0.09580000000000001, 0.8415, 0.8541000000000001, 1.5464, 1.5915000000000001, 1.4793, 1.4777, 0.336, 0.2454, 1.8955000000000002, 1.2456, 0.0422, 0.0375, 1.1807, 1.9623000000000002, 1.5701, 1.57... | 0.07936507936507936 * (Z(0) @ Z(1)) + 0.12936507936507935 * (Z(3) @ Z(1)) + 0.09047619047619047 * (Z(3) @ Z(0)) + 0.14484126984126983 * (Z(4) @ Z(1)) + 0.04880952380952381 * (Z(4) @ Z(0)) + 0.04880952380952381 * (Z(4) @ Z(3)) + 0.05555555555555555 * (Z(5) @ Z(1)) + 0.04285714285714286 * (Z(5) @ Z(0)) + 0.04285714285714... | 13 | 11 | 1 | {"smallest_eigenvalues": [-1.7333333333333338, -1.7333333333333338], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.7222222222222223, "smallest_bitstrings": ["00100000101", "00100010100"], "largest_eigenvalue": 9.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.669854462002028) q[0];
rz(-0.027848636622404138) q[0];
ry(1.6584027356325712) q[1];
ry(0.03164482751051398) q[2];
ry(1.2202371673274035) q[3];
ry(1.5835896969483205) q[4];
ry(1.6070023919411982) q[5];
ry(0.2890355168082508) q[6];
ry(2.0598148438066244) q[7];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIZIII",
"IIZIIIZIIII",
"IIZIIZIIIII",
"IZIIIIIIIZI",
"IZIIIIIIIIZ",
"IZIIIIIZIII",
"IZIIIIZII... | [
0.07936507936507936,
0.12936507936507935,
0.09047619047619047,
0.14484126984126983,
0.04880952380952381,
0.04880952380952381,
0.05555555555555555,
0.04285714285714286,
0.04285714285714286,
0.04880952380952381,
0.21269841269841266,
0.09047619047619047,
0.09047619047619047,
0.132142857142857... | 0.970687 | [
1.669854462002028,
1.6584027356325712,
0.03164482751051398,
1.2202371673274035,
1.5835896969483205,
1.6070023919411982,
0.2890355168082508,
2.0598148438066244,
0.12300133837676672,
1.2909639774851345,
1.6045807633497078,
-0.055697273244808276,
-0.09714190720031622,
1.2086195118499727,
-0... | {
"n_parameters": 40,
"n_qubits": 11,
"optimal_eigenvalue": -1.7333333333333338,
"target_ratio": 0.97,
"target_value": -1.6813333333333338
} | 4 |
8f21ecaec272429f1bdc72f298b44a30 | min_cut | 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": 5, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "so... | {"states": [1, 15], "expectation_value": -5.973429164810101, "params": null, "bitstrings": ["11110", "10000"], "total_optimization_steps": 38, "probabilities": [0.08996421767388751, 0.6443062405164904], "optimization_time": 27.267996311187744} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + 1.75 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.0 * Z(4) + -0.25 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08724389564847751) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.011836385549881461) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-1.047686382723164) q[1];
rx(1.1987979393789188) q[1];
rz(-0.44952800909731894) q[3];
cx q[0], q[3... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.5708) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.25,
-1.5,
-1.25,
1.75,
-1.75,
-2.75,
1.25,
-0.25,
-0.75,
0,
-0.25
] | 0.891714 | [
-0.08724389564847751,
0.011836385549881461,
-0.44952800909731894,
-0.29147368059620293,
0.7280283660373118,
0.7662136357667987,
-1.047686382723164,
-0.36229933156876115,
-0.0461740530584128,
1.1987979393789185,
0.02516654379014708,
-0.005014422258785183,
-0.30548343106272147,
-1.1670616733... | {
"n_parameters": 19,
"n_qubits": 5,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 500 |
3595421765999138570 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 2, 3, 8, 10], [1, 4], [1, 5], [9, 6], [8, 7]]} | {"states": [245, 1524], "expectation_value": -2.0557268471749466, "params": [[[1.5727, 1.4393], [1.0728, 1.2950000000000002], [-1.5643, 1.5705], [0.0026000000000000003, 1.5704], [0.0029000000000000002, 0.002], [-0.0035, 0.0037], [-0.0932, 0.0721], [1.8883, 1.2603], [1.5736, 1.5679], [1.5736, -0.9558000000000001], [1.57... | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(8) @ Z(1)) + 0.03333333333333333 * (Z(8) @ Z(0)) + 0.03333333333333... | 15 | 11 | 1 | {"smallest_eigenvalues": [-2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.1999999999999997, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5574506033732456) q[0];
ry(1.0802094965356281) q[1];
ry(-1.4775537681674737) q[2];
ry(0.016116347090334257) q[3];
ry(-0.004879910546228924) q[4];
ry(0.04941826726604849) q[5];
ry(-0.017069306976714098) q[6];
ry(1.8336686039283414) q[7];
ry(1.6008597209581312) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIIZII",
"IIZIIIIZIII",
"ZIIIIIIIIZI",
"ZIIIIIIIIIZ",
"ZIIIIIIIZII",
"ZIIIIIIZIII",
"ZIZIIIIIIII",
"IIIIIIZIIZI",
"IIIIIZIIIZI",
"IZIIZIIIIII",
"IIZZIIIII... | [
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.033333333333333... | 0.971812 | [
1.5574506033732456,
1.0802094965356281,
-1.4775537681674737,
0.016116347090334257,
-0.004879910546228924,
0.04941826726604849,
-0.017069306976714098,
1.8336686039283414,
1.6008597209581312,
1.5809211341588798,
1.4835533257835831,
1.574209809777303,
1.5522309270618901,
-0.020082603134968218... | {
"n_parameters": 20,
"n_qubits": 11,
"optimal_eigenvalue": -2.2000000000000006,
"target_ratio": 0.97,
"target_value": -2.1340000000000003
} | 19 |
9994d9c0864e8ab88d6d9169e088b46e | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [237, 122], "expectation_value": -23.85722838057859, "params": null, "bitstrings": ["00010010", "10000101"], "total_optimization_steps": 100, "probabilities": [0.0758429124261387, 0.08437980097930395], "optimization_time": 190.84192824363708} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(5) @ Z(6)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 11.5 * Z(0) + 14.0 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 143.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.11596378006153223) q[0];
rz(0.284417285133328) q[0];
rx(0.9079841915554171) q[1];
rz(0.024714267906631924) q[1];
rx(0.7975047609449103) q[2];
rz(0.10494849557346886) q[2];
rx(0.9341338115562028) q[3];
rz(-0.00661968580596823) q[3];
rx(0.9079841915554171) q[4];
rz(... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(7.7632) 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",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZZIII",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
11.5,
14,
10,
17.5,
13.5,
1,
10.5
] | 0.984616 | [
-0.11596378006153223,
0.3017390316030879,
0.9079841915554171,
0.024714267906631924,
0.7975047609449103,
0.10494849557346886,
0.9341338115562028,
-0.00661968580596823,
0.06657420471963857,
-0.0771816746141428,
0.4297982157077295,
0.6553221677779906,
0.11368518825262512,
-0.01430271979699142... | {
"n_parameters": 91,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 12 |
222da723e9a46931eb34c7c524cc180a | 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": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [129, 1], "expectation_value": -0.07659486232974243, "params": [[0.042300000000000004], [-0.0303]], "bitstrings": ["1101111110", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.001060837028569648, 0.0010635361498715138], "optimization_time": 3.199218988418579} | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(8)) + -0.25 * (Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.0, "smallest_bitstrings": ["1111111110", "1001111110", "1101111110"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.05022342547586546) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.08339430074625241) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.05022342547586546) q[1];
cx q[3], q[1];
rz(-0.05022342547586546) 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;
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": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IIIIIIZIZI",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IZIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIIIIIZZI",
"IIIZIIZIII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIIZIIIII",
"IIIZZIIIII"... | [
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.75,
-0.75,
1.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
0,
-0.25,
-0.75,
-1,
0.5,
0,
0.5,
0.25,
0.5,
0.25
] | 0.7072 | [
-0.05022342547586546,
0.08339430074625241,
0.001791086638290006,
-0.019628576339343166,
0.19616926085014433,
1.5705924336658776,
1.5708745075896196,
1.5658972216805378,
-1.5766364054168958
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 212 |
b35b67be6f13e1c7d0fe900b84e9f3d0 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [90, 83], "expectation_value": -4.999144849564495, "params": null, "bitstrings": ["0100101", "0101100"], "total_optimization_steps": 36, "probabilities": [0.06552939467911352, 0.9338659442782039], "optimization_time": 38.316272020339966} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101100", "0100101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-3.1044154877547934) q[0];
ry(-0.14624712835197728) q[1];
rz(-pi) q[1];
h q[2];
ry(1.517125227600992) q[2];
h q[3];
ry(-0.46439454295052995) q[3];
h q[4];
ry(-1.658138407290251) q[4];
h q[5];
ry(1.517125227600992) q[5];
h q[6];
cx q[6], q[3];
ry(0.46439... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IIZIZII",
"IIIIZZI",
"IIZZIII",
"IIIZIZI",
"IZZIIII",
"IZIIIZI",
"ZIZIIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-1,
-1,
-0.5,
-0.5
] | 0.993886 | [
-1.658138407290251,
-1.3759637991255074,
1.517125227600992,
-0.9287890859010599,
0.5798954614756153,
-0.5155606941877574,
0.49240477016956247,
-0.38839652885064646,
0.12744775508000605,
-0.18718229301267325,
0.18169653005780909,
0.1441821903289413,
0.11969662451446915,
0.2736294279178377,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
3ad034d15769a67626e0c170fe64b71c | 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": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [509, 508], "expectation_value": -24.482586690806542, "params": [[[-0.0026000000000000003, 2.7063], [-0.0027, -0.0026000000000000003], [-0.0032, -0.003], [-0.0023, -0.0031000000000000003], [-0.0031000000000000003, 0.003], [-0.0028, 0.0028], [-0.0028, 0.0029000000000000002], [1.6412, 1.6408], [0.0023, -0.9596... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + 0.5 ... | 15 | 9 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["000000011"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.041695849002037155) q[0];
ry(0.04088795745165416) q[1];
ry(0.023090314765882254) q[2];
ry(0.05092268444341061) q[3];
ry(-0.010538310172506947) q[4];
ry(0.051853836175842535) q[5];
ry(0.051853836175842535) q[6];
ry(1.6353867433265634) q[7];
ry(0.1320046203273169) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZZIIIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-2.5,
-2.5,
-2,
-3,
-3,
1,
-3,
1,
0.5,
-3,
0.5,
0.5,
-3,
1,
0.5,
1,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.972108 | [
-0.041695849002037155,
0.04088795745165416,
0.023090314765882254,
0.05092268444341061,
-0.010538310172506947,
0.051853836175842535,
1.6353867433265634,
0.1320046203273169,
3.1862002505563423,
0.0006962983162511985,
0.09599539681088118,
0.04165776573019385,
0.016536904572677508,
1.564306419... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -25.5,
"target_ratio": 0.97,
"target_value": -24.735
} | 5 |
15981867526b451292338ffade4ee93e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [21, 42], "expectation_value": -0.10216137434239503, "params": [[0.06520000000000001], [-0.0614]], "bitstrings": ["101010", "010101"], "total_optimization_steps": 10, "probabilities": [0.017390228726463355, 0.01739022872646336], "optimization_time": 1.4255075454711914} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(2) + -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": ["010101", "101010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0615767063417223) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.0615767063417223) q[2];
cx q[1], q[2];
h q[3];
cx q[0], q[3];
rz(1.0615767063417223) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(1.0615767063417223) q[2];
cx q[3], q[2];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"ZIIIIZ",
"IIIZZI",
"IIZZII",
"IZIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.725469 | [
1.0615767063417223,
-0.31295547132631285,
-0.01907240403825381,
-2.5548485838209922,
-0.5424104057174817,
-0.020414202526432848,
0.19890450634838813,
1.7267918799232351
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 234 |
-3836552969264634220 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 2], [9, 5], [0, 1], [1, 6], [8, 7], [1, 2], [8, 4], [8, 6], [1, 5], [6, 7], [9, 3], [4, 5], [5, 7], [0, 9], [3, 4], [0, 7], [8, 5], [0, 5], [9, 2], [4, 6], [3, 5]]} | {"states": [216, 728], "expectation_value": -2.20642005814069, "params": [0.8957, 0.0429, 0.8973000000000001, 0.0054, 0.5473, -0.06430000000000001, 0.48800000000000004, 0.0079, 0.9051, 0.053700000000000005, 0.9015000000000001, 0.0024000000000000002, 0.9045000000000001, 0.0442, 0.8944000000000001, 0.009000000000000001, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["0100100111", "1011011010", "1011011000", "0100100101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.8497943765667457) q[0];
rz(1.6557578618956255) q[0];
rx(0.26262528299695187) q[1];
rz(1.5293213259248635) q[1];
rx(1.7174873056735336) q[2];
rz(1.4655390773274952) q[2];
rx(2.1317164691816775) q[3];
rz(1.6338251055844362) q[3];
rx(0.3669029700558153) q[4];
rz(1.73... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"ZIIIIIIZII",
"ZIIIIIIIIZ",
"IIIIZIIIIZ",
"ZIIIZIIIII",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IZIIZIIIII",
"IZIZIIIIII",
"IIZIIIIIIZ",
"IIZIZIIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IZIIIZIIII",
"ZIIIIIZIII",
"IIIIZIZIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970732 | [
1.849794376566746,
0.08496153510072865,
0.26262528299695187,
-0.041475000870032544,
1.7174873056735336,
-0.10525724946740118,
2.1317164691816775,
0.06302877878953941,
0.3669029700558153,
0.16166775576862247,
1.0220389244865402,
0.05533705322741328,
2.2791357234751004,
0.07957427769009613,
... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 137 |
6eeafc1802cd635d6723c166bcb76122 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3... | {"states": [43, 59], "expectation_value": -3.964702267258178, "params": null, "bitstrings": ["1010100", "1000100"], "total_optimization_steps": 31, "probabilities": [0.21434492943477582, 0.21434666737942695], "optimization_time": 21.631537914276123} | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * Z(4) + -0.25 * Z(0) + 0.5 * Z(6) + 0.0 * Z(2) + 0.75 * Z(1) + -0.25 * Z(3) + 0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1010110", "1111100", "1010100", "1000110", "1000100"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.09205925177352985) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.5301334911355412) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[2];
rz(-0.09205925177352985) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5706) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIZII",
"IIIIZZI",
"IIIZIZI",
"IZZIIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
-0.5,
-0.25,
0.75,
-0.5,
-0.5,
-0.75,
-0.5,
-1.25,
-0.25,
0.5,
0,
0.75,
-0.25,
0.5
] | 0.61096 | [
-0.09205925177352985,
0.5301334911355412,
1.806811952172955,
-0.1326422811675516,
-1.3890424453927883,
-0.8579735972691735,
1.1466644722968449,
-1.278835031274433
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 241 |
d0581e93a19f65d437b5ac853666a984 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [314, 186], "expectation_value": -1.5922556574637121, "params": [[[0.32270000000000004, -0.4161, 0.006500000000000001, 0.0056], [0.5867, 0.44110000000000005, 0.5918, 0.1287], [-0.11410000000000001, 0.3121, -0.0337, 0.2494], [-0.10490000000000001, -0.28, 0.4877, 0.22760000000000002], [0.2386, 0.4647, 0.3043, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(2) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 ... | 11 | 9 | 3 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.125, "smallest_bitstrings": ["101000110", "101000101", "011000101", "010110001", "011010001", "010101010", "011001001", "011001010", "010100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.7618361869705192) q[0];
rz(0.38874165600839744) q[0];
ry(0.6662301050880198) q[1];
rz(0.33220782116889225) q[1];
cx q[1], q[0];
ry(0.15874988843944288) q[0];
rz(-0.34691518286664486) q[0];
ry(0.5965155345103594) q[1];
rz(0.9622791877662273) q[1];
ry(0.0328011315758... | OPENQASM 3.0;
include "stdgates.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",
"IIIIIZZII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZZZIIII",
"IIIIZIZII",
"IZIIIIZII",
"IZIIZIIII",
"IZIIZIZII",
"ZZIIIIIII",
"IIIIIZIIZ",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IIIZIZIII",
"ZIIIIZIII",
"ZIIZIIIII",
"IIIZIZIIZ",
"ZIIIIZIIZ",
"ZIIZIIIIZ",
"ZIIZIZIII",
"... | [
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0.5,
0.25,
0.25,
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0.25,
0.25,
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] | 0.971404 | [
1.7618361869705192,
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0.33220782116889225,
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0.096192320252199,
-0.05720599407542326,
0.11004452479141505,
-0.400626397736523,
0.036990678075437516... | {
"n_parameters": 128,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 168 |
9ff716864ed493369b8a616cc1bbe5c0 | 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": 5}, {"source": 0, "target": 8}, {"source": 1, "target":... | {"states": [131, 135], "expectation_value": -6.009558753859278, "params": [0.0044, -0.0029000000000000002, 0.29400000000000004, 0.298, 0.8043, 0.8013, 0.16920000000000002, 0.1716, 0.16740000000000002, 0.1656, -0.0031000000000000003, -0.0034000000000000002, 0.006200000000000001, -0.0018000000000000002, 0.8031, 0.7981, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.0, "smallest_bitstrings": ["0101111010", "1101111000", "1000111101", "1001111100"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.09751644986552606) q[0];
rz(-0.17729660576855527) q[0];
ry(-0.014921405578172994) q[1];
ry(1.2716324685452762) q[2];
ry(0.0592768892204514) q[3];
ry(0.12934354494964195) q[4];
ry(-0.1486908071731244) q[5];
ry(0.08235424860183581) q[6];
ry(1.3063943870679575) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IZIIIIIIIZ",
"IZIIZIIIII",
"IIIIIZIIZI",
"IIZIIIIIZI",
"IIZIIIZIII",
"IIZIZIIIII",
"IIIIIZIZII",
"IIIZZIIIII",
"IZIZIIIIII",
"IIZZIIIIII",
"IIIZIIIZII",
"ZIIIIIZIII",
"ZIIIIZIIII",
"ZIIZIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
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0.5,
0.5,
0.5,
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0.5,
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-1,
-2,
-1,
-1,
-1.5,
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-1
] | 0.978226 | [
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1.2716324685452762,
0.0592768892204514,
0.12934354494964195,
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0.08235424860183581,
1.3063943870679575,
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1.6312088901013033,
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0.11895727672893745,
0.15747908197988456,
0.5317010843284107,... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 14 |
4659426532432976834 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 7, 9, 10, 11], [4, 6], [1, 10], [2, 5], [9, 3], [8, 6]]} | {"states": [2167, 119], "expectation_value": -1.9819378247625696, "params": [0.7742, 0.39590000000000003, 0.766, 0.0061, 0.3735, -0.43060000000000004, 0.35000000000000003, -0.4248, 0.19140000000000001, 0.4944, 0.18510000000000001, 0.0026000000000000003, 0.184, -0.5148, 0.1797, -0.5093, 0.2771, -0.45130000000000003, 0.2... | 0.05 * (Z(0) @ Z(7)) + 0.05 * (Z(9) @ Z(7)) + 0.05 * (Z(9) @ Z(0)) + 0.05 * (Z(10) @ Z(7)) + 0.05 * (Z(10) @ Z(0)) + 0.05 * (Z(10) @ Z(9)) + 0.05 * (Z(11) @ Z(7)) + 0.05 * (Z(11) @ Z(0)) + 0.05 * (Z(11) @ Z(9)) + 0.05 * (Z(11) @ Z(10)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(10)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z... | 8 | 12 | 1 | {"smallest_eigenvalues": [-2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.199672953098656) q[0];
rz(1.4395706457611874) q[0];
rx(0.051432790864729225) q[1];
rz(-0.733858397987766) q[1];
cx q[1], q[0];
ry(-0.6360686222988396) q[0];
cx q[1], q[0];
ry(1.1648607388343937) q[0];
rz(-1.3384905734252577) q[0];
rx(0.08000190807389022) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIZ",
"IIZIZIIIIIII",
"IIZIIIIIIIIZ",
"IZIIZIIIIIII",
"IZIIIIIIIIIZ",
"IZZIIIIIIIII",
"ZIIIZIIIIIII",
"ZIIIIIIIIIIZ",
"ZIZIIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIZIZIIII",
"IZIIIIIIIIZI",
"IIIIIIZIIZII",
"IIZIIIIIZIII",
"IIIZIZIIIIII",
"IIIIZIIIIIII",
"IIIIIIIIIIIZ",
"IIZIIIIII... | [
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.5,
0.5,
0.5,
0.5,
0.1,
0.1,
0.09999999999999998,
0.09999999999999998,
0.1,
0,
0,
0,
0,
0,
0,
0
] | 0.973516 | [
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0.051432790864729225,
-0.733858397987766,
-0.08154185475031919,
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0.06488265978516915,
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-0.6418767319643924,
1.1198367218843452,
-0.07991499194596044,
1.7019642621256137,
-0.02993749841004... | {
"n_parameters": 56,
"n_qubits": 12,
"optimal_eigenvalue": -2.7,
"target_ratio": 0.97,
"target_value": -2.619
} | 29 |
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": -0.10613257082771038, "params": [[-0.027600000000000003, -0.0551, -0.0222], [0.0098, 0.062200000000000005, 0.0438]], "bitstrings": ["10101", "01010"], "total_optimization_steps": 10, "probabilities": [0.03557906314437828, 0.0368938655944185], "optimization_time": 2.811804056167... | 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 | 3 | {"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] 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] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0... | 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,
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1.0253922282774464,
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0.549976100758179,
0.49856702161642463,
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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 |
1e937f731676144e2d48b645bec68c29 | 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": 8, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 8}, {"weight": 17, "source": 1, "target": 2}, {"weight":... | {"states": [498, 434], "expectation_value": -84.25260120339308, "params": [0.09720000000000001, 0.25420000000000004, 0.09580000000000001, 0.2526, 0.5314, 0.0654, 0.5274, 0.0434, 0.523, -0.0021000000000000003, 0.5312, -0.0019, 0.17930000000000001, 0.22390000000000002, 0.1802, 0.218, 0.5274, 0.0352, 0.5322, 0.0446, 0.525... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) @ Z(8)) + 14.5 * Z(1) + 4.0 * Z(0) + 8.5 * Z(2) + 10.0 * Z(3) + 12... | 7 | 10 | 3 | {"smallest_eigenvalues": [-90.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["1001001101"], "largest_eigenvalue": 147.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.061653631985282266) q[0];
rz(0.2558259384442687) q[0];
rx(0.15288643144527125) q[1];
rz(-0.010336896099164272) q[1];
cx q[1], q[0];
rz(-0.07587502676167873) q[0];
cx q[1], q[0];
rz(1.3055883912366237) q[0];
ry(0.15570479047753982) q[0];
rz(-0.21134585147702278) 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... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IZIIIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
14.5,
4,
8.5,
10,
12,
15.5,
-2.5,
13,
-1,
7
] | 0.971621 | [
0.06165363198528227,
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0.15288643144527125,
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0.562993913315605,
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0.1359912467176744,
0.02528618754928247,
0.3667360564523367,
0.006845012309705522,
0.7162387025872098,
-0.30758050969757994,
-0.2419844672789488,
0.244228876337184... | {
"n_parameters": 140,
"n_qubits": 10,
"optimal_eigenvalue": -90,
"target_ratio": 0.97,
"target_value": -87.3
} | 14 |
0df4df25c74ca38eb293288a64f6d090 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 2, "source": 2, "target": 3}, {"weight": 16, "source": 2, "target": 6}, {"... | {"states": [125, 93], "expectation_value": -45.00140435206537, "params": null, "bitstrings": ["10000010", "10100010"], "total_optimization_steps": 100, "probabilities": [0.15666428943704894, 0.3398361120055857], "optimization_time": 145.32900738716125} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) + -3.0 * Z(0) + 9.0 * Z(2) + 16.0 * Z(3) + 1... | 1 | 8 | 1 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 127.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.13472719791426957) q[0];
rz(0.7621816108220933) q[0];
rx(0.9797023371778154) q[1];
rz(-0.03741898136041918) q[1];
rx(0.2553948032372724) q[2];
rz(0.2997483345010804) q[2];
rx(0.98149266171691) q[3];
rz(0.021241621987064273) q[3];
rx(0.98018860069722) q[4];
rz(-0.03... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(7.7632) 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[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10,
-3,
9,
16,
11,
17.5,
4.5,
14
] | 0.976159 | [
0.13472719791426957,
0.8849967245068193,
0.9797023371778154,
-0.03741898136041918,
0.2553948032372724,
0.2997483345010804,
0.98149266171691,
0.021241621987064273,
0.98018860069722,
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0.9975135743893738,
-0.1428992541318086,
0.34355392559505205,
0.18303063785957543,
1... | {
"n_parameters": 70,
"n_qubits": 8,
"optimal_eigenvalue": -66,
"target_ratio": 0.97,
"target_value": -64.02
} | 8 |
f7fee23782dcc5baf3c7964a42b79bf8 | 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": [1170, 1171], "expectation_value": -139.74215609753958, "params": [[0.7874, -0.0039000000000000003, -0.2972, 0.7882, -0.0026000000000000003, -0.0014, 0.6277, -0.0035, 0.005, 0.898, -0.19540000000000002], [0.7751, -0.0029000000000000002, -0.0489, 0.3885, -0.003, 0.0012000000000000001, 0.6223000000000001, -0.0... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(0)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(6) @ Z(3)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(8) @ Z(3)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(3)) + 8.0 * (Z(9) @ Z(6)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(2)) + -7.0 * Z(1)... | 10 | 11 | 4 | {"smallest_eigenvalues": [-146.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -141.0, "smallest_bitstrings": ["01101101100"], "largest_eigenvalue": 260.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.6208062735951141) q[0];
ry(-0.1680897352308532) q[1];
ry(-0.37725579461913644) q[2];
ry(0.9507818755951593) q[3];
ry(0.022649514560809846) q[4];
ry(-0.010843353835482437) q[5];
ry(0.6629527522115878) q[6];
ry(-0.009335898189149365) q[7];
ry(-0.04489824992008909) 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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIZIIIIIZ",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIZIIIIIIIZ",
"IIZIIIIZIII",
"IIZIZIIIIII",
"IZIIIIIIIIZ",
"IZIIIIIZIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIZIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-7,
31,
31.5,
4.5,
29.5,
-6,
17.5,
23.5,
-1,
-11,
-13.5
] | 0.97839 | [
0.6208062735951141,
-0.1680897352308532,
-0.37725579461913644,
0.9507818755951593,
0.022649514560809846,
-0.010843353835482437,
0.6629527522115878,
-0.009335898189149365,
-0.04489824992008909,
0.9074975107293094,
-0.22053215123076367,
1.043368835548426,
0.09980775466837163,
0.0412708133272... | {
"n_parameters": 50,
"n_qubits": 11,
"optimal_eigenvalue": -146,
"target_ratio": 0.97,
"target_value": -141.62
} | 9 |
1ba2ebfd309b0e7a51e89a9f5e1fc243 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capac... | {"states": [135, 391], "expectation_value": -8.56161669614814, "params": null, "bitstrings": ["1101111000", "1001111000"], "total_optimization_steps": 54, "probabilities": [0.21349937262347563, 0.21350275141710437], "optimization_time": 97.2375419139862} | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(8) @ Z(2)) + 1.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.0, "smallest_bitstrings": ["1001111100", "1001111000", "1101111100", "1101111000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.5435724973832478) q[0];
h q[1];
h q[2];
ry(1.60553270612249) q[2];
rz(-pi) q[3];
ry(-0.039195701137748395) q[3];
ry(-0.271381111482453) q[4];
rz(-pi) q[4];
ry(-0.09774851241138072) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.6069797629833635) q[6];
h q[7];
h q[8];
... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5708) q[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]... | [
"IIIIIIZIIZ",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIZIIIIZI",
"IIIZIIIZII",
"IIIIIIIZZI",
"IIZIZIIIII",
"IIZIIIIZII",
"IZIIIIIZII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IZIIIZIIII",
"IIIIIIZIII",
"IIIIIIIIIZ"... | [
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
1.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
0.25,
-0.25,
-0.25,
-1,
0.25,
1.5,
0.25,
0.25,
0,
-1
] | 0.973032 | [
1.60553270612249,
-1.0871449947664955,
-1.6069797629833635,
-1.3467415068748914,
-1.645056077871255,
1.072062726545818,
-0.6555179101580553,
1.3880737753115537,
0.37893192140828647,
-0.24535356636188016,
0.24418821356035764,
-0.17154003205098434,
-0.15059668292025746,
-0.044618021006704714... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 25 |
bcb76a333f49b2c8c8530ea62fdc7628 | matching | 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}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [246, 118], "expectation_value": -52.77075401596664, "params": [0.7825000000000001, -0.303, 1.3913, -0.2013, 1.3936000000000002, -0.049100000000000005, 1.3765, -0.11510000000000001, -0.0037, 0.9650000000000001, 1.3922, -0.005200000000000001, 1.4043, 0.1882, 0.0031000000000000003, 0.8866, 0.7885000000000001, ... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(1) @ Z(3)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(7)) + 10.0 * Z(0) + 16.0 * Z(2) + 11.5 * Z(3) + 18.5 * Z(1) + 10.0 * Z(5) + -2.0 * Z(4) + -4.5 * Z(7) + 3.5 * Z(6) | 18 | 8 | 2 | {"smallest_eigenvalues": [-62.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 119.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.053362792367398035) q[0];
rz(-0.5043835518520381) q[0];
rx(1.63221313760042) q[1];
rz(-0.09437041056258684) q[1];
rx(1.4666239969289698) q[2];
rz(-0.009343113334094981) q[2];
rx(1.606395015215744) q[3];
rz(-0.021298915418036704) q[3];
rx(-0.15554392522504257) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIZIIIZI",
"IIZZIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIIIIZI",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
10,
16,
11.5,
18.5,
10,
-2,
-4.5,
3.5
] | 0.98922 | [
0.053362792367398035,
-0.22989340840177214,
1.63221313760042,
-0.09437041056258684,
1.4666239969289698,
-0.009343113334094981,
1.606395015215744,
-0.021298915418036704,
-0.15554392522504257,
0.9224628233432268,
1.3853678885863374,
0.038595597528169046,
1.5049398105012395,
0.098302277011244... | {
"n_parameters": 47,
"n_qubits": 8,
"optimal_eigenvalue": -62,
"target_ratio": 0.97,
"target_value": -60.14
} | 14 |
508248896174739480 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 10, 5], [2, 5], [0, 8, 3], [10, 11, 6], [9, 4], [8, 4], [11, 5, 7], [11, 3, 12], [2, 3, 12], [10, 3, 7], [1, 4, 12], [8, 1], [2, 10, 4], [3, 6], [0, 2], [12, 5], [4, 5, 7], [9, 12], [8, 9]]} | {"states": [6798, 7054], "expectation_value": -5.681029394656775, "params": [[[2.9928000000000003, 0.0033, 0.005, 0.0022], [-0.0023, 0.5971000000000001, 1.5731000000000002, 0.0029000000000000002], [0.0021000000000000003, 0.0049, 0.006, 0.0016], [0.9597, 0.0023, 1.0946, 0.005], [1.6218000000000001, 0.0041, 0.0005, 0.002... | 0.16666666666666666 * (Z(0) @ Z(10)) + 0.16666666666666666 * (Z(5) @ Z(10)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(10)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(10)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.1666... | 12 | 13 | 1 | {"smallest_eigenvalues": [-6.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0010001110001"], "largest_eigenvalue": 14.499999999999991} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(3.192653954121604) q[0];
rz(-0.3058981406272684) q[0];
ry(-0.15076417414385213) q[1];
rz(0.08439160877987839) q[1];
cz q[1], q[0];
ry(2.776771372569302) q[1];
ry(0.006473634502805012) q[2];
rz(-0.34472422480541) q[2];
ry(1.0119479860714329) q[3];
rz(-0.0610465232659... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIZIIIIIIIIIZ",
"IIZIIIIZIIIII",
"IIIIIIIZIIIIZ",
"IIZIIIIIIIZII",
"IIIIIIIIIIZIZ",
"IIIIIIIZIIZII",
"IIIIZIIIIIIIZ",
"IIZIIIIIIZIII",
"IIIIIIIIIZIIZ",
"IIIIIIIIIZZII",
"IIIIZIIIIZIII",
"IZZIIIIIIIIII",
"IZIIIIIZIIIII",
"IZIIIIIIIZIII",
"IIZIIIZIIIIII",
"IIIIIIZIIZIII",
"IZIIIIZIIII... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5... | 0.971853 | [
3.192653954121604,
-0.3058981406272684,
-0.15076417414385213,
0.08439160877987839,
0.006473634502805012,
-0.34472422480541,
1.0119479860714329,
-0.06104652326596875,
2.496160940995617,
0.18522312559292003,
0.11271265273939796,
0.4026668985299139,
0.06540667728588666,
-0.07400245651462829,
... | {
"n_parameters": 33,
"n_qubits": 13,
"optimal_eigenvalue": -6.166666666666666,
"target_ratio": 0.97,
"target_value": -5.981666666666666
} | 14 |
75b2b49bf8a153c97d838ff6c1f36ee5 | matching | 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": 5, "source": 0, "t... | {"states": [206, 198], "expectation_value": -40.73249699887084, "params": [2.4943, 0.0029000000000000002, 2.4943, 0.0035, 0.39130000000000004, 0.005200000000000001, -0.002, 0.0089, 1.4763000000000002, 0.006200000000000001, 2.4954, 0.0046, 2.5008, 0.0032, 0.025, 0.0073, 0.0007, 0.0088, 0.0073, 0.0018000000000000002, 0.0... | 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(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 1.5 * Z(1) +... | 3 | 8 | 1 | {"smallest_eigenvalues": [-53.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.5, "smallest_bitstrings": ["00111001"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.913405650680868) q[0];
rz(-0.020577266484854473) q[0];
rx(2.913405650680868) q[1];
rz(0.018304067849897798) q[1];
rx(-0.037846667829205746) q[2];
rz(0.1102035930599623) q[2];
rx(0.0013998007349523903) q[3];
rz(0.5015043177824037) q[3];
rx(0.2531958520905692) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
1.5,
2,
-2,
-5,
1.5,
7,
6,
-4.5
] | 0.986362 | [
2.913405650680868,
-0.033119404079733517,
-0.10992226302707359,
-0.03784666782920576,
-0.0270841561830095,
0.0013998007349523903,
0.5423397956466044,
0.2531958520905692,
-0.4835134495306451,
3.0855030048491776,
0.30670917393717884,
3.327040016346024,
0.0788732160694183,
-0.0032392196512411... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -53.5,
"target_ratio": 0.97,
"target_value": -51.894999999999996
} | 15 |
-7781209295195269581 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 6], [0, 2, 7], [8, 2, 3, 4], [1, 6], [3, 7], [4, 5, 6], [4, 5, 7], [8, 2, 7], [6, 7]]} | {"states": [202, 210], "expectation_value": -0.029930116522493323, "params": [[0.0459], [-0.0414]], "bitstrings": ["100110101", "100101101"], "total_optimization_steps": 10, "probabilities": [0.0020339813415345353, 0.0020429896809604077], "optimization_time": 0.8490304946899414} | 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.25 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.16... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.1666666666666665, -3.1666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.9166666666666665, "smallest_bitstrings": ["100100101", "100101101"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[2];
rz(0.727058366325786) q[2];
cx q[6], q[2];
cx q[2], q[0];
rz(0.08936619984983828) q[0];
cx q[2], q[0];
h q[7];
cx q[6], q[7];
rz(0.727058366325786) q[7];
cx q[6], q[7];
cx q[2], q[7];
cx q[6], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZII",
"IIIIIIZIZ",
"IZZIIIIII",
"IZIIIIZII",
"IZIIIIIIZ",
"ZIIIIIZII",
"ZZIIIIIII",
"IIIIIZZII",
"IZIIIZIII",
"ZIIIIZIII",
"IIZIZIIII",
"IIIIZIZII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIZZIII",
"IIZIIIIZI",
"IIZZIIIII",
"IZIZIIIII",
"IIIZZIIII",
"IIZIIIIII",
"IIIIIIZII",
"... | [
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.166... | 0.499922 | [
0.727058366325786,
0.08936619984983828,
0.2659851672749528,
0.20829036929142528,
-0.0012041969452913786,
1.0257057206322344,
1.245993305203084,
-0.7498752429499482,
-0.08594009342287763,
-0.8587670019309765
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -3.1666666666666665,
"target_ratio": 0.97,
"target_value": -3.0716666666666663
} | 232 |
cba3c0f3028bedd24c97c562399fe60f | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [5, 7], "expectation_value": -5.261146293996973, "params": [[[0.2604, -0.22490000000000002], [0.29460000000000003, 0.202], [0.3017, -0.195], [0.30760000000000004, -0.18960000000000002], [0.6378, -0.0007], [0.5279, 0.015000000000000001], [0.6504, 0.0005]], [[0.26680000000000004, -0.22490000000000002], [0.2953... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-4.011935460582535e-09) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-4.011935460582535e-09) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
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,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.5,
-3.25,
-3.25,
-2.75,
-3.25,
-2.75
] | 0.740989 | [
-4.011935460582535e-9,
1.3554674035363465e-8,
0.9694266146810376,
1.5707964080681434,
-1.5707962967130897,
1.5707963408013987
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 195 |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 114.7128357887268} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
3669556b5012b2bd0210027af1e5ed26 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [256, 255], "expectation_value": -0.3592799217202993, "params": [[0.07200000000000001], [-0.0572]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.002518013247810518, 0.002559876833240518], "optimization_time": 2.2917227745056152} | -0.25 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.03676123032734652) q[0];
h q[1];
ry(0.5071576030418723) q[1];
h q[2];
ry(1.009586282806144) q[2];
h q[3];
ry(0.772850589552062) q[3];
h q[4];
ry(1.5752266574126181) q[4];
h q[5];
cx q[5], q[1];
ry(-0.5071576030418723) q[1];
cx q[5], q[1];
cx q[1], q[3];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIZIIIZII",
"ZIIIIIZII",
"IIIIIIZZI",
"IIIIIZIZI",
"IIZZIIIII",
"IIIZIIIZI",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIIIZII",
"IZIIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"... | [
-0.25,
0.5,
-0.5,
-0.75,
-0.75,
-1.25,
-0.5,
-1.75,
-0.25,
-1,
-1,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-1.25,
-0.5,
0,
0.75,
0.25,
1.25,
0.5
] | 0.940312 | [
1.5682343384209747,
1.0143152060837446,
1.545701179104124,
1.462217447312978,
0.7676117492237735,
2.019172565612288,
1.5752266574126181,
0.21327531876877884,
0.8551016235555847,
-0.07352246065469303,
-0.0005168674884650517,
-1.0684414773818585,
2.540422049369729,
-0.4045446587566448,
-0.... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 500 |
3bb079244230ecfe3b12b98f791fe70b | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [496, 511], "expectation_value": -3.1261161384027654, "params": [[-0.0801], [0.07440000000000001]], "bitstrings": ["000001111", "000000000"], "total_optimization_steps": 10, "probabilities": [0.0047236542492150955, 0.004857368535810182], "optimization_time": 0.743109941482544} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(2) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + -... | 1 | 9 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.0, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.6548320554903005) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.6548320554903005) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.6548320554903005) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.6548320554903005) q[4];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIZZIIIII",
"IZZIIIIII",
"IZIZIIIII",
"ZIZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIZII",
"... | [
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
1.5,
-2.5,
-2.5,
-2,
0.5,
-2.5,
0.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1
] | 0.581612 | [
0.6548320554903005,
0.4254911336337202,
0.853145151007256,
0.06253831148041922,
-0.10407450244675698,
0.2308114584225779,
1.0462130045528344
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -32,
"target_ratio": 0.97,
"target_value": -31.04
} | 177 |
800f779aab5ac71650acd9af8d6964c8 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -9.264551043551862, "params": [[0.0608, 0.015700000000000002], [-0.0779, -0.0438]], "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.008750863581208954, 0.009446053222353496], "optimization_time": 7.977620840072632} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 7 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.43263153788651865) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.33347793652408547) q[1];
h q[2];
ry(-0.33347793652408547) q[2];
ry(-0.18921776981409477) q[3];
rz(-pi) q[3];
ry(-0.9937012523290137) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[2];
ry(0.33347793652408547) q[2];
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[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
2.75,
-7,
-7,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.5
] | 0.974682 | [
-1.2455998084576945,
-0.37817131988348546,
-0.795027545328284,
-0.3978475091647948,
-0.27195749704621475,
-0.6669558730481709,
1.361511014481087,
1.3396044443315112,
-0.686274487160188,
1.0423394202220775,
-0.35908583330767535,
-0.2925604938850007,
-0.6062823621828345,
-0.4677930098758491,... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 23 |
ec86dd03f1bc9f7a5980c14449900d15 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [9, 1], "expectation_value": -0.732874777595632, "params": [[-0.06810000000000001, -0.0752], [0.0626, 0.07150000000000001]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006735105736149488, 0.006850091401909821], "optimization_time": 3.4545974731445312} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.75, "smallest_bitstrings": ["11110110", "11111110", "11111100", "11110100"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.16999686101045597) q[0];
ry(-0.7461488452616151) q[1];
rz(-pi) q[1];
ry(-0.08098995602078439) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.8918758604400108) q[3];
h q[4];
h q[5];
ry(-0.6909274773558883) q[5];
h q[6];
ry(1.6029270172358627) q[6];
h q[7];
cx q[7], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIIIZZII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"ZIIIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
1.75,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
0.25,
0.75,
0.75,
0.25
] | 0.970267 | [
-0.33999372202091194,
1.3129654467744951,
1.6029270172358627,
-0.6590546223712845,
0.18968510787131154,
-0.5503415377524958,
-1.7837517208800215,
-1.3818549547117767,
-1.0868611186790245,
-0.44875350089838817,
-0.10942090189840499,
0.17912767502386534,
-0.8058905041901756,
-0.0868358831952... | {
"n_parameters": 19,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 24 |
6895805260362288845 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4], [3, 4], [0, 1, 5], [0, 8, 2], [5, 6, 7]]} | {"states": [219, 235], "expectation_value": -1.9071893060072052, "params": null, "bitstrings": ["100100100", "100010100"], "total_optimization_steps": 60, "probabilities": [0.052221383676608044, 0.8311756634580991], "optimization_time": 96.32740807533264} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.0000000000000004, -2.0000000000000004, -2.0000000000000004, -2.0000000000000004, -2.0000000000000004, -2.0000000000000004], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["010010011", "100010010", "100010100", "001101000", "000011001", "010010101"... | 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[2];
rz(-0.9948746425947542) q[2];
cx q[4], q[2];
cx q[2], q[0];
rz(-0.3722638967582763) q[0];
cx q[2], q[0];
cx q[0], q[1];
rz(-0.3722638967582763) q[1];
cx q[0], q[1];
cx q[4], q[3];
rz(-0.9948746425947542) q[3];
cx q[... | 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];\nry(1.2292) 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] = m... | [
"IIIIZIZII",
"IIIIZZIII",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIZIIIIZ",
"IIIZIIIZI",
"ZIIIIIZII",
"ZIIIIIIIZ",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIZIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0.16666666666666663,
0,
0.3333333333333333,
0.16666666666666666,
0.333333333333333... | 0.610877 | [
-0.9948746425947542,
-0.3722638967582763,
0.06142473292680199,
-0.8326215055865013,
0.7983016272019697
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -2.0000000000000004,
"target_ratio": 0.97,
"target_value": -1.9400000000000004
} | 142 |
5016316659782473400 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3], [0, 3], [1, 3], [2, 4]]} | {"states": [3, 28], "expectation_value": -0.01969476793112441, "params": [[0.0551], [-0.045000000000000005]], "bitstrings": ["11100", "00011"], "total_optimization_steps": 10, "probabilities": [0.032489597848011684, 0.032489597848011684], "optimization_time": 0.9025614261627197} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) + 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": ["11100", "00011"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(0.7227378437577893) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.006132298756955021) q[3];
cx q[2], q[3];
ry(0.006132298756955021) q[3];
cx q[2], q[3];
ry(-0.2514542826223274) q[3];
cx q[1], q[3];
ry(0.2514542826223274) q[3];
cx q[1], q[3];
ry(0.7713935189318988) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(x0) q[4];
cx ... | null | {"circuits": [], "gradients": []} | [
"IZZII",
"IZIIZ",
"IZIZI",
"ZIZII",
"IZIII",
"IIZII",
"IIIIZ",
"IIIZI",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.97551 | [
-0.012264597513910042,
1.6190390184300687,
-0.5029085652446548,
1.5427870378637976,
1.4454756875155785,
-1.071150592746052,
-0.038133047663471455,
-1.2203488664349607,
0.10060165952512348,
-0.17705800294301727,
0.034473830708720975,
-0.4257491153237969,
0.13245675525463396,
-0.330041373382... | {
"n_parameters": 23,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 19 |
d75363653ef00cde7e482c2c3392dff7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [256, 255], "expectation_value": -0.23076668044858237, "params": [[0.0665], [-0.06960000000000001]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0023219329296756317, 0.002365240172481206], "optimization_time": 2.3942806720733643} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(8) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.75, "smallest_bitstrings": ["100000000", "101110010", "101110000", "101000000", "111110000", "111110100", "111110110", "111110010"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.5800016602217045) q[0];
ry(-3.0160182889402423) q[1];
rz(-pi) q[1];
ry(-0.7937295761698439) q[2];
rz(-pi) q[2];
h q[3];
ry(0.7483050100221447) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7483050100221447) q[3];
cx q[4], q[3];
ry(0.5506897500678624) q[4];
cx q[3], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIIZZIII",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIZIIIII",
"IZIIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"IIIIZIIII",
"... | [
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0.25,
-1,
0,
-1.25,
-0.25,
1.5,
1.25
] | 0.97588 | [
1.635354928027199,
1.6535551550449947,
1.4966100200442893,
1.2823506458400487,
-1.160003320443409,
1.2213443738772067,
1.3259987864913463,
-0.7536541197185559,
1.1013795001357247,
0.24812610013146263,
0.3257426326105941,
-0.5864937370001171,
-0.3811460272498714,
-0.024507037660432593,
0.... | {
"n_parameters": 38,
"n_qubits": 9,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 2 |
97a25582d9da2a01a479d6704a1ea86e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": ... | {"states": [1023, 1007], "expectation_value": -1.1366495580949603, "params": [[0.0713], [-0.0731]], "bitstrings": ["0000000000", "0000010000"], "total_optimization_steps": 10, "probabilities": [0.0016153972560438087, 0.001649305854031342], "optimization_time": 1.9151289463043213} | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * Z(3) + 0.5 * Z(0) + ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["0000010000"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.8001657332672415) q[0];
h q[1];
ry(0.8339113904806998) q[1];
h q[2];
ry(0.4715393498940401) q[2];
h q[3];
ry(0.2665764535763486) q[3];
h q[4];
cx q[4], q[3];
ry(-0.2665764535763486) q[3];
cx q[4], q[3];
cx q[3], q[0];
ry(-0.8001657332672415) q[0];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q[4];
cx q[3]... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IZIZIIIIII",
"ZZIIIIIIII",
"ZIIZIIIIII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IZIIIIIZII",
"IIIZIIIZII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIIIZI",
"IZIIIIIIII",
"IIIZIIIIII",
"ZIIIIIIIII"... | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-2,
0.5,
-2,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970309 | [
0.5331529071526973,
1.600331466534483,
1.746019848652486,
1.5523158190483044,
1.5913059170604011,
1.6678227809613997,
0.9430786997880802,
-1.150397691367437,
0.4403470714412182,
0.6565490133659476,
-1.960264392076775,
1.0904811667702412,
-1.2457059423031067,
1.6718008556399764,
0.2986376... | {
"n_parameters": 58,
"n_qubits": 10,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 427 |
bdc39d8330d1d7cee03559144a025856 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 4, "s... | {"states": [25, 1], "expectation_value": -2.040208423974689, "params": [[-0.0784], [0.07010000000000001]], "bitstrings": ["111100110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0034769505506329484, 0.003637780211445495], "optimization_time": 2.7273361682891846} | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + -1.5 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(3)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.051630824347007026) q[0];
rz(-0.1464661220764576) q[0];
rx(-0.06729308463696425) q[1];
rz(-0.05111942679371495) q[1];
rx(-0.020870183822651243) q[2];
rz(-0.07271017724579565) q[2];
rx(0.022739634605724535) q[3];
rz(-0.06734135895324567) q[3];
rx(0.0219327629703353... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIZZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"... | [
-1.25,
-1.25,
-0.5,
-1.5,
-1,
-1,
-1.5,
-1.5,
-1,
-1.5,
-0.75,
-0.5,
4.5,
-1,
-0.75,
-0.25,
-1.25,
-1.5,
-0.25,
-3.75,
1.25,
2,
0.5,
0.5,
2.5,
-1.25
] | 0.975613 | [
-0.05163082434700701,
-0.054822364338722916,
-0.06729308463696423,
-0.10464284211338082,
-0.02087018382265124,
-0.1018630173328687,
0.022739634605724535,
-0.12987567485549695,
0.021932762970335314,
-0.2311231351797588,
-0.02203873980031195,
-0.12925912873225243,
0.04971961462745458,
-0.203... | {
"n_parameters": 122,
"n_qubits": 9,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 6 |
4819812130218480791 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 3, 4], [0, 3, 4, 5], [1, 2, 4, 6], [0, 1, 2, 4, 5], [0, 1, 2, 5, 6], [0, 1, 4, 6]]} | {"states": [86, 87], "expectation_value": -1.1500985341833685, "params": [1.2989000000000002, -0.0036000000000000003, 1.2875, 0.0024000000000000002, 1.0644, 0.0041, 0.9292, 0.0029000000000000002, 1.2936, 0.0005, 1.2908000000000002, 0.008400000000000001, 0.8705, 0.0057, 0.8472000000000001, 0.0082, 1.2872000000000001, 0.... | 0.23333333333333334 * (Z(0) @ Z(1)) + 0.23333333333333334 * (Z(2) @ Z(1)) + 0.15000000000000002 * (Z(2) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(2)) + 0.26666666666666666 * (Z(4) @ Z(1)) + 0.26666666666666666 * (Z(4) @ Z(0)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.133333... | 6 | 7 | 1 | {"smallest_eigenvalues": [-1.35, -1.35], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.3499999999999996, "smallest_bitstrings": ["1010000", "0101000"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.20124279290625455) q[0];
ry(-2.851650782228504) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
h q[4];
ry(1.6426783638724185) q[4];
cx q[4], q[1];
ry(-0.131928809921663) q[1];
cx q[4], q[1];
h q[5];
ry(0.5593423542860414) q[5];
cx q[5], q[0];
ry(0.20124279290625455) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZ... | [
0.23333333333333334,
0.23333333333333334,
0.15000000000000002,
0.05,
0.13333333333333333,
0.05,
0.26666666666666666,
0.26666666666666666,
0.18333333333333335,
0.13333333333333333,
0.1,
0.18333333333333335,
0.1,
0.08333333333333333,
0.13333333333333333,
0.21666666666666667,
0.13333333... | 0.976964 | [
1.6426783638724185,
1.1489256455119443,
0.263857619843326,
0.5593423542860414,
-0.4024855858125091,
0.385539173848808,
-0.19615858821799614,
0.43957727707722694,
-0.3898183866854675,
-0.28378706114357555,
0.4763998835189751,
0.014617001833189008,
-0.2506857823631889,
0.48099607094515834,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -1.35,
"target_ratio": 0.97,
"target_value": -1.3095
} | 1 |
0a9ce5e89c9dcf521e81060472c9eb03 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "s... | {"states": [256, 255], "expectation_value": -0.19594638750130763, "params": [[0.0761], [-0.06910000000000001]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.002465217400852591, 0.0025230569376661948], "optimization_time": 2.640273094177246} | -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(8) @ Z(5)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(2) @ Z(8)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.23153603351994334) q[0];
h q[1];
h q[2];
ry(1.5470829324436373) q[2];
h q[3];
ry(0.7705398656542058) q[3];
cx q[1], q[3];
ry(-0.7705398656542058) q[3];
cx q[1], q[3];
ry(0.6222101378731693) q[1];
cx q[3], q[1];
ry(-0.6222101378731693) q[1];
cx q[3], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[0];
rz(x0) q[0];
... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"ZIIZIIIII",
"ZIIIIIIIZ",
"IIIZIIIZI",
"ZIIIIIIZI",
"IIIZIZIII",
"IIIIIZIZI",
"IIIIZIIZI",
"ZZIIIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"ZIIIIIZII",
"IIIIZIZII",
"IIZZIIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZZIIIIII",
"IIZIIIZII",
"IIIZIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"... | [
-0.5,
-0.5,
0.75,
-0.25,
-0.25,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0,
-0.25,
-0.5,
0,
0.5,
-0.5,
0.5,
1,
-0.75
] | 0.959889 | [
1.5470829324436373,
1.5410797313084117,
2.087226569812678,
1.2444202757463385,
1.7043902733145464,
1.68419662067207,
-0.4630720670398867,
1.7291033298568055,
2.2789226456761957,
-0.050339615282830596,
-0.48130399573726235,
0.7152102582289276,
-0.8707263861464489,
-1.2010984046709827,
0.5... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 500 |
f5323ac245282a584737f112386c2702 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"s... | {"states": [8191, 4095], "expectation_value": -57.683674487192704, "params": [[[1.6422, 0.00030000000000000003], [0.0022, 0.0013000000000000002], [-0.0024000000000000002, 0.0082], [-0.0023, 0.002], [-0.0026000000000000003, 0.007500000000000001], [-0.0023, 0.0071], [0.0024000000000000002, 0.0015], [0.0024000000000000002... | 0.5 * (Z(0) @ Z(6)) + -2.5 * (Z(1) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(1)) + -2.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(1)) + -2.0 * (Z(8) @ Z(7)) + -3.5 * (Z(9) @ Z(11)) + -2.5 * (Z(12) @ Z(11)) + -3.5 * (Z(12) @ Z(9)) + -2.5 * (Z(2) @ Z(11)) + -3.5 * (Z(2) @ Z(9)) + -3.0 * (Z(2) @ Z(12)) + 0.5 * (Z(3) @ Z(11... | 2 | 13 | 1 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["1000000000000"], "largest_eigenvalue": 45.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(1.8900912504342973) q[0];
rz(0.1053639932837387) q[0];
rx(-0.028592013770423717) q[1];
rz(-0.02837260084325676) q[1];
rx(0.1150899651022152) q[2];
rz(0.10460362829949936) q[2];
rx(-0.015648934062687126) q[3];
rz(-0.17610856226090352) q[3];
rx(0.012900372747329246) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIIZ",
"IIIIIIZIIIIZI",
"IIIIIZZIIIIII",
"IIIIIZIIIIIZI",
"IIIIZIZIIIIII",
"IIIIZIIIIIIZI",
"IIIIZZIIIIIII",
"IZIZIIIIIIIII",
"ZZIIIIIIIIIII",
"ZIIZIIIIIIIII",
"IZIIIIIIIIZII",
"IIIZIIIIIIZII",
"ZIIIIIIIIIZII",
"IZIIIIIIIZIII",
"IIIZIIIIIZIII",
"ZIIIIIIIIZIII",
"IIIIIIIIIZZ... | [
0.5,
-2.5,
1,
-2,
-2.5,
1,
-2,
-3.5,
-2.5,
-3.5,
-2.5,
-3.5,
-3,
0.5,
-4,
1,
1,
1,
-4,
1.5,
-4,
-3,
1,
-4,
-4,
1.5,
-3,
-3.5,
1.5,
0.5,
0.5,
-2.5,
-3,
-3,
-2,
-1,
1,
0.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970508 | [
1.8900912504342973,
0.1053639932837387,
-0.028592013770423717,
-0.02837260084325676,
0.1150899651022152,
0.10460362829949936,
-0.015648934062687126,
-0.17610856226090352,
0.012900372747329246,
0.09993399451112411,
0.20961575900949833,
0.045828803927760065,
-0.10684926449930023,
0.040846461... | {
"n_parameters": 20,
"n_qubits": 13,
"optimal_eigenvalue": -59.5,
"target_ratio": 0.97,
"target_value": -57.714999999999996
} | 1 |
f6494d29a2885917ea72724ca31dc87e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [128, 1], "expectation_value": -16.824600197702246, "params": null, "bitstrings": ["101111111", "111111110"], "total_optimization_steps": 37, "probabilities": [0.07032507868495166, 0.8977220857782333], "optimization_time": 55.11568641662598} | -0.75 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + 1.5 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(6)) + -1.0 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(8)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.10189812843066029) q[0];
rz(-0.15089983411608365) q[0];
rx(0.012949681207840832) q[1];
rz(-0.3863298561993709) q[1];
rx(-0.2249217523066944) q[2];
rz(-0.07319496732861097) q[2];
rx(0.06993357002108799) q[3];
rz(-0.2465905830606978) q[3];
rx(0.08546781518194248) q[... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-0.4397) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"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 |
317507523039185204 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2], [2, 4], [0, 2], [1, 3]]} | {"states": [19, 25], "expectation_value": -1.7576928662994087, "params": null, "bitstrings": ["01100", "00110"], "total_optimization_steps": 27, "probabilities": [0.057339231629797066, 0.8271342482087165], "optimization_time": 16.60728359222412} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["11001", "00110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
ry(-0.1579428967873937) q[2];
h q[3];
ry(-0.1579428967873937) q[3];
cx q[1], q[3];
ry(0.1579428967873937) q[3];
cx q[1], q[3];
ry(1.5323428759405628) q[1];
ry(-0.8572461348903994) q[3];
h q[4];
cx q[4], q[2];
ry(0.1579428967873937) q[2];
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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"IIZZI",
"ZIZII",
"IIZIZ",
"IZIZI",
"IIZII",
"IIIZI",
"ZIIII",
"IIIIZ",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.974997 | [
-0.3158857935747874,
1.4054447620075534,
-0.6700122614056613,
-0.27064419528455796,
1.3562103577208842,
1.0980366839108961,
-0.7354335119681933,
0.2537962278660185,
0.1896933798424145,
0.5590634443260468,
-0.37446774696947593,
-0.4326739544073357,
0.034878142825561786,
-0.5952960190762147,... | {
"n_parameters": 21,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 12 |
7f226d208153dcfb632077c65c1f90bf | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 6}, {"source": 3, "target": 7},... | {"states": [0, 1987], "expectation_value": -14.632223443224952, "params": [0.2874, 0.5259, 0.0334, 1.067, 0.6081, 0.6921, -0.29400000000000004, 1.0368, 0.6282, 0.8396, 0.0005, 0.912, 0.644, 0.8993, 0.1129, 0.9705, 0.6328, 1.2549000000000001, -0.038200000000000005, 1.1276000000000002, -0.2018, 0.5929, 0.1247, 0.88630000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.5 * (Z(7) @ Z(8)) + -2.5 * (Z(5) @ Z(8)) + 1.0 * (Z(5) @ Z(7)) + 1.0 * (Z(6) @ Z(8)) + -2.5 * (Z(6) @ Z(7)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(9) @ Z(2)) + -2.0 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(10)) + ... | 6 | 11 | 3 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000111100"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.1342171824925862) q[0];
rz(2.0942427452686783) q[0];
rx(0.29543093206360016) q[1];
rz(0.9781141379179479) q[1];
rx(0.8491535880238071) q[2];
rz(-2.6641097231534197) q[2];
rx(-0.16142880578884908) q[3];
rz(2.46801461687833) q[3];
rx(-0.6800787280262504) q[4];
rz(2.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIZZIIIIIII",
"IIZIIZIIIII",
"IIIZIZIIIII",
"IIZIZIIIIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"ZIIIIIIZIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIZIIIIIIII",
"IIIZIIIII... | [
-1.5,
0.5,
-1.5,
-2.5,
-2.5,
1,
1,
-2.5,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
1,
1,
0.5,
0.5,
0.5,
0.5
] | 0.943505 | [
0.13421718249258618,
0.5234464184737817,
0.29543093206360016,
-0.5926821888769487,
0.8491535880238072,
2.0482792572312705,
-0.1614288057888491,
0.8972182900834331,
-0.6800787280262502,
0.8621878928152058,
-0.03794492075220762,
1.2037165229923057,
0.04997363028017292,
-0.5122815041833169,
... | {
"n_parameters": 211,
"n_qubits": 11,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 500 |
-5903830051335657599 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 6], [3, 7], [2, 3], [1, 3, 4], [3, 6], [0, 1, 3], [0, 5, 6], [1, 3, 5], [4, 5], [1, 2, 5], [0, 1, 6]]} | {"states": [103, 107], "expectation_value": -3.1739709174983863, "params": [0.446, 0.6212, 1.5679, 1.5676, 1.4648, 1.6727, -0.0027, -0.0026000000000000003, -0.8891, -0.8022, 0.6292, 2.4868, 1.6513, 1.5, 1.5430000000000001, 1.5663, 0.4451, 0.26280000000000003, 1.5967, 0.5108, 0.0013000000000000002, -0.0028, -0.0027, 0.0... | 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.166... | 14 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334, -3.333333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["10010100", "00010100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.5764804491305426) q[0];
h q[1];
ry(1.1513366756084322) q[1];
h q[2];
ry(0.5225852204386415) q[2];
h q[3];
ry(-0.2863488853112691) q[3];
h q[4];
h q[5];
ry(-0.4551124711265876) q[5];
cx q[4], q[5];
ry(0.4551124711265876) q[5];
cx q[4], q[5];
ry(-0.3837166100... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IIIZZIII",
"IIIIZIIZ",
"IZIIZIII",
"ZIIIZIII",
"IIIIZZII",
"IIIZIIZI",
"IIIIIIZZ",
"IZIIIIZI",
"IIIIZIZI",
"IIIIIZZI",
"IIZZIIII",
"IIZIIIIZ",
"IZZIIIII",
"IIZIZIII",
"IIZIIZII",
"IIZIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIZII... | [
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
... | 0.970331 | [
1.1513366756084322,
1.5764804491305426,
-0.5726977706225382,
1.5148769913597147,
-0.2010257835233621,
1.045170440877283,
1.344961364168834,
-0.591046516546527,
-0.9102249422531752,
0.6071013316188874,
-0.7674332201934873,
0.3650101599890121,
-0.6381251849643713,
0.30566644203048476,
0.22... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -3.333333333333334,
"target_ratio": 0.97,
"target_value": -3.233333333333334
} | 35 |
ab957251534d09507f870c3a6ef42154 | 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": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "... | {"states": [1445, 1701], "expectation_value": -1.509109298082483, "params": [-0.0079, -0.0135, 0.5243, 0.5307000000000001, 0.7732, 0.7117, 0.4817, 0.4818, -1.4768000000000001, -1.6051, 0.41150000000000003, 0.4021, 0.5219, 0.5283, -0.0811, 0.184, -0.0016, -0.008700000000000001, 0.5252, 0.5275000000000001, -0.0074, 0.008... | 0.25 * (Z(0) @ Z(1)) + 0.00034722222222222224 * (Z(2) @ Z(0)) + 0.00034722222222222224 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010416666666666667 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + -0.0010416666666666667 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0006944444444444445 * (Z(6)... | 13 | 12 | 3 | {"smallest_eigenvalues": [-1.5131944444444438, -1.5131944444444438, -1.5131944444444438, -1.5131944444444438], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5104166666666665, "smallest_bitstrings": ["010101101010", "011010100101", "101010010101", "100101011010"], "largest_eigenvalue": 1.52291666666666... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.8371932544002377) q[0];
rz(0.20858065204347453) q[0];
ry(-0.45655694041749045) q[1];
ry(0.4641984393163029) q[2];
ry(-0.19028136922153194) q[3];
ry(1.019406464640929) q[4];
ry(-0.07467794364198581) q[5];
ry(0.1078744572788903) q[6];
ry(0.5781622452340566) q[7];
ry... | 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": 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,
0.00034722222222222224,
0.00034722222222222224,
0.25,
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0.25,
0.0006944444444444445,
0.00034722222222222224,
-0.0010416666666666667,
0.0006944444444444445,
0.00034722222222222224,
-0.0010416666666666667,
0.25,
... | 0.97248 | [
0.8371932544002377,
-0.45655694041749045,
0.4641984393163029,
-0.19028136922153194,
1.019406464640929,
-0.07467794364198581,
0.1078744572788903,
0.5781622452340566,
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0.42316099187094136,
-0.019552344140408177,
0.5019802359551023,
0.41716130408694907,
-0.391375460764549... | {
"n_parameters": 94,
"n_qubits": 12,
"optimal_eigenvalue": -1.5131944444444438,
"target_ratio": 0.97,
"target_value": -1.4677986111111105
} | 23 |
8974e5cad06096779812bbdbc32e906b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [13, 102], "expectation_value": -0.6269906898989601, "params": [[-0.0189, -0.041800000000000004, -0.0434, -0.0522], [-0.0332, 0.0366, 0.0476, 0.058]], "bitstrings": ["1110010", "0011001"], "total_optimization_steps": 10, "probabilities": [0.011701869768402462, 0.011781223651820452], "optimization_time": 6.42... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(1) + -1.5 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.08523772634387355) q[0];
cx q[6], q[0];
rz(-0.6275000602258523) q[0];
rx(1.5361357999744325) q[0];
cx q[6], q[1];
rz(0.08523772634387355) q[1];
cx q[6], q[1];
cx q[6], q[2];
rz(0.085237726343873... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZ",
"ZIIIIZI",
"ZIIIZII",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIZIZII",
"ZZIIIII",
"IZIZIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1.5,
-1,
0,
-0.5
] | 0.907523 | [
0.08523772634387355,
1.5480803404607733,
-0.6275000602258523,
-0.1404789535044987,
-1.4284191873658791,
1.5361357999744325,
0.8409867621609597,
2.115999799714608,
0.06031835036903118,
-0.3545913389992104,
-1.300356731263291,
0.007768805814347773,
-0.21896447238510156,
1.9712159137160128,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 500 |
27c408f36f3749a0af3ff77dddb9a6ea | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [84, 28], "expectation_value": -4.499862355032985, "params": null, "bitstrings": ["0101011", "1100011"], "total_optimization_steps": 32, "probabilities": [1.718470586839912e-05, 0.9999312201793693], "optimization_time": 24.73761749267578} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(6) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100011", "0111100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.9832797652129619) q[0];
rz(-0.5770519755710892) q[0];
rx(1.4565290876916401) q[1];
rz(-0.46357754977916055) q[1];
rx(0.14127281389752583) q[2];
rz(0.5906818059308248) q[2];
rx(0.7909678010704663) q[3];
rz(-0.14857853309057878) q[3];
rx(-0.29147635421597956) q[4];
... | 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IZIIIZI",
"IZIIZII",
"ZIIZIII",
"IZZIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
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,
-0.5,
-0.5
] | 0.97426 | [
0.983279765212962,
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1.4565290876916401,
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0.14127281389752583,
0.5906818059308248,
0.7909678010704663,
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0.024912261802634193,
1.0258909533899938,
0.15590237079349717,
0.011543723248921299,
0.4382288038755616... | {
"n_parameters": 119,
"n_qubits": 10,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 34 |
9c58c5b77a3170e613a26f379fffeef6 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 5}, {"weight": 2... | {"states": [231, 118], "expectation_value": -28.194612110105133, "params": null, "bitstrings": ["00011000", "10001001"], "total_optimization_steps": 100, "probabilities": [0.07864466703615744, 0.08762589898821103], "optimization_time": 187.73110556602478} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 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) @ Z(3)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 158.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.30035957140227065) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.30035957140227065) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.30035957140227065) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.30035957140227065) q[3];
cx q[1], ... | 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(9.9081) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"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,
13.5,
5,
16.5,
19.5,
4.5,
17,
14.5,
11.5
] | 0.970623 | [
-0.30035957140227065,
1.1368758079646883,
-1.8923990284899774,
1.0436850348571591,
1.415620980349364,
-0.5091827167950427,
1.4790986719477293,
0.8820371628830349,
0.46473221419256594,
-0.15090594742638722,
0.055618018346008394,
0.32882508347878925,
-0.3312498441524585,
-0.09748772199396417... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 54 |
3432273595255020415 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2], [0, 3], [2, 4], [0, 5], [0, 6], [6, 7]]} | {"states": [54, 94], "expectation_value": -2.5625422173461274, "params": null, "bitstrings": ["11001001", "10100001"], "total_optimization_steps": 65, "probabilities": [0.04690501758127854, 0.6568156574638125], "optimization_time": 82.30014204978943} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["00110110", "10100001", "11001001", "01011110"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.18944447291498984) q[0];
h q[1];
h q[2];
ry(-0.18944447291498984) q[2];
h q[3];
ry(0.5966434941090923) q[3];
h q[4];
cx q[4], q[2];
ry(0.18944447291498984) q[2];
cx q[4], q[2];
ry(-0.34652187503351844) q[2];
cx q[1], q[2];
ry(0.34652187503351844) q[2];
cx ... | 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];\ncry(-1.0342) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIZZI",
"IIIIZIIZ",
"IIIZIZII",
"IIZIIIIZ",
"IZIIIIIZ",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.97377 | [
-0.3788889458299797,
1.3874420316253036,
-0.34937268328169546,
1.55050436716434,
1.1932869882181847,
-0.64948533285396,
1.5670334537802473,
-0.6930437500670369,
1.305727376476264,
0.032714947004474124,
-0.8497874889278061,
0.06753326243974826,
-0.4446287679104484,
0.022521205435970568,
-... | {
"n_parameters": 50,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 54 |
7efca02d91f49e4bd32e9ceac2c5c6eb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [97, 49], "expectation_value": -0.0826097713393303, "params": [[0.034, 0.0356, -0.0434], [-0.0307, -0.0415, -0.0026000000000000003]], "bitstrings": ["0011110", "1001110"], "total_optimization_steps": 10, "probabilities": [0.008508810883038394, 0.0085088108830384], "optimization_time": 3.876347064971924} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.0, "smallest_bitstrings": ["0111010", "1100101", "1001110", "1000111", "1110001", "0111001", "0011110"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4594827096862753) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4594827096862753) q[3];
cx q[0], q[3];
rz(-0.5630635507632684) q[0];
rx(-0.901497698191471) q[0];
h q[4];
cx q[2], q[4];
rz(0.4594827096862753) q[4];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIZII",
"IIZIIZI",
"IZIIIZI",
"ZIIZIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
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
] | 0.926719 | [
0.4594827096862753,
-0.5630635507632685,
-0.901497698191471,
1.3353012772704733,
-1.605474020176386,
-0.822650231119289,
-0.30828100973507994,
-0.6582238828432734,
0.6011290317482081
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 264 |
-4305841559775494919 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 4, 5], [1, 3, 5, 7], [1, 3, 5, 6], [0, 2], [8, 5]]} | {"states": [124, 126], "expectation_value": -1.6647710078627427, "params": null, "bitstrings": ["110000011", "110000001"], "total_optimization_steps": 75, "probabilities": [0.07297342203548865, 0.5828748090395445], "optimization_time": 163.16087436676025} | 0.08333333333333333 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["100000111", "001001000", "110000001", "011010001", "001010111", "001100001"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.40091531655376245) q[0];
h q[1];
ry(-0.10487585006313586) q[1];
h q[2];
cx q[2], q[0];
ry(0.40091531655376245) q[0];
cx q[2], q[0];
ry(-0.8089961872072521) q[0];
ry(0.7063426606440774) q[2];
h q[3];
ry(1.3980288939017986) q[3];
h q[4];
ry(0.185623043420789... | 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];\nry(1.3016) 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] = m... | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIIIZIZI",
"IIIZIIIZI",
"IZIIIZIII",
"IZIZIIIII",
"IZIIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IIZIIIIZI",
"IIIIIIZIZ",
"ZIIZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIIIZI",
"... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.... | 0.971637 | [
1.3980288939017986,
-0.733419533495256,
0.7927268032737429,
-0.8662559658622067,
-0.8018306331075249,
0.4705133158882348,
0.5050200908913692,
-0.5432247961160696,
0.4026451395054163,
-0.5315427821823651,
-0.461300951830666,
0.3605121991954018,
0.24162374628485062,
-0.20975170012627173,
-... | {
"n_parameters": 63,
"n_qubits": 9,
"optimal_eigenvalue": -1.75,
"target_ratio": 0.97,
"target_value": -1.6975
} | 8 |
6946fbda84d92871847bf53596399897 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [17, 1], "expectation_value": -1.5785198321516056, "params": [[0.059000000000000004, 0.0375, 0.0711], [-0.0661, -0.030100000000000002, -0.0463]], "bitstrings": ["101110", "111110"], "total_optimization_steps": 10, "probabilities": [0.030877095346049772, 0.03135012571953733], "optimization_time": 2.7685554027... | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + 3.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.25 * Z(1) + -0.5 * Z(2) + 2.75 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["111110", "101110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.551286213379778) q[0];
ry(0.14995386152144122) q[0];
rz(-1.157952155487887) q[0];
rz(1.7949694323876582) q[1];
ry(0.8600732688310629) q[1];
rz(-1.5619298147562424) q[1];
rz(-1.494414036029636) q[2];
ry(0.25948250070177714) q[2];
rz(2.109430114529392) q[2];
rz(-1.99... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IIZZII",
"IZIZII",
"ZIIIIZ",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.25,
-1.5,
-0.25,
-0.25,
-0.5,
3,
-0.25,
-1.25,
-0.25,
-1,
0.25,
-0.5,
2.75
] | 0.983075 | [
0.05760476468977301,
0.19533053854689783,
0.2935220690165271,
0.21247908078017866,
-0.33585903240393633,
0.2959684062839665,
-0.34014046378460583,
0.13274283234330986,
-0.10404306296453697,
0.20649247381463964,
0.9880477207375283,
-0.024097524940315328,
0.1102325674469585,
0.19708286430355... | {
"n_parameters": 43,
"n_qubits": 6,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 8 |
a38227ca05bb5e1c3110df61e15475e5 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target... | {"states": [21866, 43669], "expectation_value": -0.11743109883142018, "params": [[-0.1819], [0.1757]], "bitstrings": ["1010101010010101", "0101010101101010"], "total_optimization_steps": 20, "probabilities": [2.419777501056001e-05, 2.4197775010560023e-05], "optimization_time": 18.805457830429077} | 0.25 * (Z(0) @ Z(1)) + -0.0011718750000000002 * (Z(2) @ Z(0)) + -0.0011718750000000002 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000390625 * (Z(4) @ Z(0)) + -0.0011718750000000002 * (Z(4) @ Z(2)) + 0.000390625 * (Z(5) @ Z(1)) + -0.0011718750000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0001953125 * (Z(6) @ Z(0)... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0216796874999727], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0216796874999425, "smallest_bitstrings": ["0101010101101010"], "largest_eigenvalue": 2.017382812499951} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.5828140966267514) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.014155834669197016) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.014155834669197016) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.5828140966267514) q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0011718750000000002,
-0.0011718750000000002,
0.25,
0.000390625,
-0.0011718750000000002,
0.000390625,
-0.0011718750000000002,
0.25,
0.0001953125,
0.0001953125,
-0.0013671875000000001,
0.0001953125,
0.0001953125,
-0.0013671875000000001,
0.25,
-0.0011718750000000002,
0.000390... | 0.977509 | [
-1.5828140966267514,
-0.014155834669197016,
-0.02116396070815279,
-0.013337028446488167,
0.04356747679686805,
-0.008037532779039583,
0.10057400069633016,
0.009481270663633676,
0.7191847124874255
] | {
"n_parameters": 9,
"n_qubits": 16,
"optimal_eigenvalue": -2.0216796874999727,
"target_ratio": 0.97,
"target_value": -1.9610292968749734
} | 24 |
d06b5679e2be320273eb90aa2db95162 | 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": 1, "target": 3}, {"source": 2, "target": 7}, {"source": 3, "target": 5}, {"source": 3, "ta... | {"states": [164, 166], "expectation_value": -4.651038154344415, "params": [[0.789, -0.0068000000000000005, 0.7827000000000001, 0.0032, -0.0635, 1.1007, 0.0732, -0.002], [0.7851, -0.0034000000000000002, 0.7809, -0.0029000000000000002, -0.09190000000000001, 1.0981, 0.6738000000000001, -0.0019], [0.7833, -0.00260000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(7) + 0.0 * Z(2) + -1.0 * Z(5) + -1.0 * Z(6) + -0.... | 10 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["01011001", "10011001"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.5738964163389707) q[0];
ry(0.06163359687105825) q[1];
ry(0.7984974298401184) q[2];
ry(0.04857174575954506) q[3];
ry(-0.01910908024366574) q[4];
ry(1.1718987336080118) q[5];
ry(-0.09660777298044664) q[6];
ry(-0.11644304943893496) q[7];
cz q[7], q[6];
cz q[6], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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",
"IIIIZIZI",
"IIIIZIIZ",
"ZIIIIZII",
"IIZIZIII",
"ZIZIIIII",
"IZIIZIII",
"ZZIIIIII",
"IIZZIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"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,
0,
-1,
-1,
-0.5
] | 0.971809 | [
0.5738964163389707,
0.06163359687105825,
0.7984974298401184,
0.04857174575954506,
-0.01910908024366574,
1.1718987336080118,
-0.09660777298044664,
-0.11644304943893496,
0.8503788075666227,
0.052357893808003396,
0.8056036089926425,
0.10150500009462295,
-0.06688404232600517,
1.314853090804118... | {
"n_parameters": 32,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 5 |
92e0d9744e7b0376f2c61fec7a621b77 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [120, 105], "expectation_value": -2.844103864995406, "params": null, "bitstrings": ["0000111", "0010110"], "total_optimization_steps": 45, "probabilities": [0.07574251269908065, 0.7565050367377619], "optimization_time": 50.29808282852173} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(1) @ Z(4)) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.5133697055041112) q[0];
h q[1];
ry(1.6084249374386541) q[1];
h q[2];
ry(1.6084249374386541) q[2];
ry(-0.053550572212937055) q[3];
rz(-pi) q[3];
ry(-0.053550572212937055) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.5133697055041112) q[0];
cx q[5], q[0];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5486) 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", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIZZIII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIZIIZ",
"IIZIIZI",
"ZIIIIZI",
"ZIZIIII",
"ZIZIIZI",
"ZIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25
] | 0.992524 | [
-1.5021443221766975,
1.6084249374386541,
-1.0267394110082224,
0.7506936281381614,
-0.5870557688839062,
0.4771553588124247,
-0.38953925180142007,
0.19253854567295237,
0.02981104842832527,
0.18877927704919473,
0.13517748060633164,
-0.03020286481052407,
-0.11241436734008918
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
5309148990881866697 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[5, 6], [2, 3], [0, 5], [3, 6], [4, 6], [1, 6], [0, 1], [1, 2]]} | {"states": [46, 81], "expectation_value": -0.03560439056641736, "params": [[-0.0427], [0.052500000000000005]], "bitstrings": ["1010001", "0101110"], "total_optimization_steps": 10, "probabilities": [0.008379898567148797, 0.008379898567148797], "optimization_time": 1.3873820304870605} | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 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) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0101110", "1010001"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(-0.7006067146843641) q[5];
cx q[6], q[5];
cx q[5], q[0];
rz(-0.7006067146843641) q[0];
cx q[5], q[0];
rz(1.0882278633772557e-08) q[5];
rx(0.7853981405970012) q[5];
cx q[6], q[3];
rz(-0.70060671468... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q[5];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[5], q[0];
... | null | {"circuits": [], "gradients": []} | [
"ZZIIIII",
"ZIIZIII",
"IIIZZII",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIZI",
"IIIIZZI",
"IIIIIZZ",
"ZIIIIII",
"IZIIIII",
"IIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.429346 | [
-0.7006067146843641,
1.0882278668797176e-8,
0.7853981405970012
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 92 |
3179afe1dc957b5c6c41286c03203dc8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [282, 346], "expectation_value": -1.9794068968017067, "params": [[[0.5977, -0.0025], [0.1865, -0.0041], [0.6023000000000001, -0.0557], [-0.015600000000000001, -0.0495], [0.6086, 0.2424], [0.5997, 0.1729], [0.18460000000000001, -0.1418], [0.3896, 0.5937], [0.5899, -0.018600000000000002]], [[0.5842, 0.0415], [... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 15 | 9 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["010100110", "010100101", "001100101", "100100101", "011100100", "010110010", "010101100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13519463971453738) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.13519463971453738) q[5];
cx q[0], q[5];
h q[6];
cx q[1], q[6];
rz(-0.13519463971453738) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIIZ",
"IIIZIZIIZ",
"IIIZZIIIZ",
"IIIZZZIII",
"IIIZZZIIZ",
"IIZIZIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"IIIZIIZII",
"IZIIIIZII",
"ZIIIIIZII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
-0.25,
0.125,
-0.625,
-0.125,
0.25,
-... | 0.886931 | [
-0.13519463971453738,
-1.6691644219825768,
-0.6313546200021425,
0.11027252980613785,
1.1036832609062868,
-1.79926365316697,
1.0758154656507484,
1.9622076409523441,
-2.3901140905378706,
-1.0044660673943189,
-0.4784452543272119
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 352 |
711ad2e2f8a4e054441bc38b2a916b46 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [174, 302], "expectation_value": -93.73761825347299, "params": [0.0028, 0.6976, 1.576, 0.6393, 1.7552, -0.36150000000000004, -0.0027, 2.0798, 1.5670000000000002, 0.1655, 0.0023, 1.7574, 1.5723, 0.003, 1.5687, 0.0032, 1.9099000000000002, -0.431, -0.0029000000000000002, -0.0589, 0.0026000000000000003, 0.006900... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(9) @ Z(6)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(9)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(3) @ Z(8)) + 0.0 * Z(1) + 3.5 * Z(2) + 8.5 * Z(4) + -4.5 * Z(5) + 19.5 * Z(6) + 7.5 * Z(9) ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.5, "smallest_bitstrings": ["1011010001"], "largest_eigenvalue": 154.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.0584671967825669) q[0];
rz(0.720846191254207) q[0];
rx(1.7525478653500968) q[1];
rz(0.6533080009937435) q[1];
rx(1.706362655612648) q[2];
rz(-0.4500090523997621) q[2];
rx(0.20621317124576788) q[3];
rz(2.096646338260145) q[3];
rx(1.470198239837332) q[4];
rz(0.23706... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIZZIIII",
"IIIZIZIIII",
"ZIIZIIIIII",
"IIZIIIIZII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IZIIIIZIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"IIIIIIZIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
0,
3.5,
8.5,
-4.5,
19.5,
7.5,
21,
20,
-3.5,
-11
] | 0.97062 | [
0.05846719678256691,
0.781226512013978,
1.7525478653500968,
0.6533080009937435,
1.706362655612648,
-0.4500090523997621,
0.20621317124576788,
2.096646338260145,
1.470198239837332,
0.23706602377554914,
-0.03375138294089618,
1.8832780314219453,
1.480878814420449,
-0.041949965079639384,
1.53... | {
"n_parameters": 53,
"n_qubits": 10,
"optimal_eigenvalue": -96.5,
"target_ratio": 0.97,
"target_value": -93.605
} | 6 |
faf2b7fc4343189ac2e56cc09666a273 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [971, 963], "expectation_value": -5.724965748389505, "params": [[-0.1643], [0.1708]], "bitstrings": ["0000110100", "0000111100"], "total_optimization_steps": 20, "probabilities": [0.006242861273661962, 0.006890344610816737], "optimization_time": 2.7994961738586426} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["0000111100"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.7689013419582041) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.7689013419582041) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.7689013419582041) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.31750430274430447) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1]... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIZIZIIIII",
"IIZIIZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII"... | [
-2,
-2,
-2,
1,
-2,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-2,
-2,
0.5,
0.5
] | 0.572819 | [
0.7689013419582041,
0.31750430274430447,
-0.22859977140858023,
1.3416691960488754,
1.0485734878963489
] | {
"n_parameters": 5,
"n_qubits": 10,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 162 |
2f31ddb9c26310a1bd4af8e197801efe | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [236, 173], "expectation_value": -20.66065050269296, "params": [[-0.0323, 0.009300000000000001], [0.07680000000000001, 0.067]], "bitstrings": ["100010011", "101010010"], "total_optimization_steps": 10, "probabilities": [0.0061026156254758435, 0.006999388676236006], "optimization_time": 3.0707852840423584} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(3)) + 18.5 * Z(1) + -2.0 * Z(0) + 7.0 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["101010010"], "largest_eigenvalue": 158.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.19804912839267297) q[0];
cx q[1], q[0];
rz(1.475046686421626) q[0];
rx(-0.24196611321349795) q[0];
h q[2];
cx q[1], q[2];
rz(-0.19804912839267297) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-0.19804912839267297) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
18.5,
-2,
7,
22,
8,
14,
10,
3,
12.5
] | 0.98049 | [
-0.19804912839267297,
-1.679403513779362,
1.475046686421626,
1.392191668223079,
-2.4080619295310086,
0.6413277281088066,
-0.6573715905737088,
-1.4760064310182701,
0.3506748050485653,
-1.984946702049887,
-0.2419661132134978,
0.21405819534545178,
0.07256711962595909,
0.14878865610405526,
0... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 60 |
4106138224803273353 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 3], [11, 5], [0, 2], [1, 5], [10, 2], [9, 1], [1, 6], [3, 6], [1, 4], [2, 5], [9, 11], [6, 7], [10, 5], [5, 6], [3, 7], [11, 3], [4, 5], [11, 4], [0, 1], [8, 1], [2, 6], [1, 7]]} | {"states": [2687, 2683], "expectation_value": -0.759595852247681, "params": [0.9840000000000001, 0.9891000000000001, 0.5909, 0.5913, 0.9571000000000001, 0.9584, 0.614, 0.6165, 0.5884, 0.5890000000000001, 0.9504, 0.9511000000000001, 0.9554, 0.9557, 0.9603, 0.9604, 0.9372, 0.9407000000000001, 0.7334, 0.7316, 0.9857, 0.99... | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(11) @ Z(1)) + 0.5 * (Z(11) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8... | 13 | 12 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -5.0, "smallest_bitstrings": ["100001110111", "101001101011", "000011110111", "100011110111", "010110010100", "011100001000", "010110000100", "1010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.0879667208295556) q[0];
rz(0.12096921970324441) q[0];
ry(-0.12921315787002624) q[1];
ry(0.45634242697306493) q[2];
ry(0.327179253091342) q[3];
ry(0.1296485518888194) q[4];
ry(0.7952181839435714) q[5];
ry(1.9215301532520763) q[6];
ry(1.8140875169382618) q[7];
ry(2.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIIIIIIIZZ",
"IIIIZIIZIIII",
"IIIIIIIZIIIZ",
"IIIIZIIIIZII",
"IIIIIIIZIZII",
"ZIIIIIIIIIZI",
"ZIIIIIIIZIII",
"IIIZIIZIIIII",
"IIIZIIIIIIZI",
"IIIZZIIIIIII",
"IIIZIIIZIIII",
"IIIIIZIIIIZI",
"IIIIIZIIZIII",
"IIIIZZIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.986271 | [
1.0879667208295556,
-0.12921315787002624,
0.45634242697306493,
0.327179253091342,
0.1296485518888194,
0.7952181839435714,
1.9215301532520763,
1.8140875169382618,
2.5517406277028964,
-0.372217621954965,
1.0734291917797358,
0.4967776530919099,
0.24193843940648882,
0.1523624958925366,
-0.34... | {
"n_parameters": 46,
"n_qubits": 12,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 55 |
1dfc8624fda96162c7d1b6eca3607f2c | 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": 5, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 7, "source": 2, "target": 3}, {"weight": ... | {"states": [343, 342], "expectation_value": -96.58505741791912, "params": [0.0057, 0.3599, 0.0007, 0.3634, 0.5252, 0.0221, 0.5274, 0.006500000000000001, 0.0037, 0.3317, 0.0036000000000000003, 0.33130000000000004, 0.5247, 0.0135, 0.5222, 0.004200000000000001, 0.1585, 0.23370000000000002, 0.1573, 0.2366, 0.52760000000000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) @ Z(7)) + 5.5 * (Z(9) @ Z(8)) + 21.0 * Z(1) ... | 7 | 10 | 3 | {"smallest_eigenvalues": [-102.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["1010101001"], "largest_eigenvalue": 177.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.12830045702536677) q[0];
rz(0.15487571651391185) q[0];
rx(0.4550303315591468) q[1];
rz(0.1826034957316165) q[1];
cx q[1], q[0];
rz(0.08359825338966498) q[0];
cx q[1], q[0];
rz(1.9957007527670285) q[0];
ry(0.11678225509496054) q[0];
rz(-1.3642546476047621) 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... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"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,
20,
-2,
8.5,
16.5,
14,
1.5,
13,
10.5
] | 0.974153 | [
-0.1283004570253668,
0.23847396990357717,
0.4550303315591468,
0.1826034957316165,
-0.06630999556176673,
0.474846082298942,
0.5370423761426627,
-0.0783163392384501,
-0.060478852610740486,
0.5336372706040955,
0.5631531554270568,
0.14599990731294737,
0.24164445798379677,
0.19579843749524947,
... | {
"n_parameters": 133,
"n_qubits": 10,
"optimal_eigenvalue": -102,
"target_ratio": 0.97,
"target_value": -98.94
} | 9 |
5f9b75a11ee0488aded9e68068b4bda7 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.024258582671741975, "params": [[0.07730000000000001], [-0.07980000000000001]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.6816872228884835e-05, 1.6816872228884845e-05], "optimization_time": 13.18793821334... | 0.25 * (Z(0) @ Z(1)) + 0.0005859375000000001 * (Z(2) @ Z(0)) + 0.0005859375000000001 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0001953125 * (Z(4) @ Z(0)) + -0.00126953125 * (Z(4) @ Z(2)) + 0.0001953125 * (Z(5) @ Z(1)) + -0.00126953125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0011718750000000002 * (Z(6) @ Z(0)) + -0... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.016406249999974], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0164062499999376, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0218749999999943} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.5324997208576805) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.02557903183250008) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.02557903183250008) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.5324997208576805) q[3];
cx q[2], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"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,
0.0005859375000000001,
0.0005859375000000001,
0.25,
0.0001953125,
-0.00126953125,
0.0001953125,
-0.00126953125,
0.25,
-0.0011718750000000002,
-0.0009765625,
0.0001953125,
-0.0011718750000000002,
-0.0009765625,
0.0001953125,
0.25,
-0.00078125,
-0.000390625,
0.000390625,
0.... | 0.977548 | [
1.5324997208576805,
0.02557903183250008,
0.03233188732103052,
0.0832662920723559,
0.01856956090956142,
-0.7321057974863426
] | {
"n_parameters": 6,
"n_qubits": 16,
"optimal_eigenvalue": -2.016406249999974,
"target_ratio": 0.97,
"target_value": -1.9559140624999747
} | 17 |
cb2d5cacc34fdd8ea2bb854f18413d55 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [3228, 3224], "expectation_value": -147.59577481806403, "params": [1.3003, 0.007200000000000001, 1.2983, 0.2599, 0.3604, 0.523, -0.0021000000000000003, 0.8179000000000001, 1.306, 0.014700000000000001, -0.0032, 0.7822, 0.2967, -0.4591, 1.2955, -0.0088, 1.3005, 0.06860000000000001, 0.7527, 0.224, -0.0018000000... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(3) @ Z(8)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(7) @ Z(0)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(10)... | 18 | 12 | 2 | {"smallest_eigenvalues": [-178.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -153.5, "smallest_bitstrings": ["001101100111"], "largest_eigenvalue": 246.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.458565417436229) q[0];
rz(-0.24851224924630255) q[0];
rx(1.3856325778258323) q[1];
rz(0.45014269260870704) q[1];
rx(0.006405252950497625) q[2];
rz(0.47565619342625587) q[2];
rx(0.079789872702321) q[3];
rz(0.8975647631238844) q[3];
rx(1.7895164440088611) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIIIZZ",
"IIIIIIIZIIIZ",
"IIIIIIZZIIII",
"IIIZIIIIZIII",
"IIIZIZIIIIII",
"IIIIZIIIIIIZ",
"IIIIZIIZIIII",
"IIIZZIIIIIII",
"IIIIZZIIIIII",
"IIZIIIIIIIIZ",
"IIZIIIIZIIII",
"IIZIZIIIIIII",
"IZIIIIIIIIZI",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
15.5,
31,
23.5,
-6.5,
16,
-7,
0.5,
31,
10.5,
-4.5,
-15.5
] | 0.974519 | [
1.4585654174362288,
0.042066443556872384,
1.3856325778258323,
0.45014269260870704,
0.006405252950497625,
0.47565619342625587,
0.079789872702321,
0.8975647631238844,
1.7895164440088611,
0.06823316847894188,
-0.021904070686529373,
1.2502312374509053,
-0.06474882256675882,
-0.1760075935973808... | {
"n_parameters": 67,
"n_qubits": 12,
"optimal_eigenvalue": -178.5,
"target_ratio": 0.97,
"target_value": -173.14499999999998
} | 11 |
-2734888469241241909 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3], [0, 5], [4, 6], [3, 4], [0, 1], [1, 3], [2, 4], [1, 4], [1, 2]]} | {"states": [102, 38], "expectation_value": -0.005351614510876554, "params": [[[1.5501, 0.0013000000000000002], [1.6085, 0.008700000000000001], [1.5089000000000001, 0.0092], [1.5374, 0.0092], [1.6191, 0.0097], [1.612, 0.0004], [1.5005000000000002, 0.0039000000000000003]]], "bitstrings": ["0011001", "1011001"], "total_op... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.5, "smallest_bitstrings": ["0011011", "1000100", "1100100", "0101011", "1010100", "0111011", "0100110", "1011001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.024098191269280936) q[0];
rz(0.10524355101333904) q[0];
rx(3.067480798899388) q[1];
rz(-2.4795487615594722) q[1];
rx(1.4157644610210667) q[2];
rz(-1.2341834220046084) q[2];
rx(3.36051929023539) q[3];
rz(-1.2341834220046084) q[3];
rx(0.14671254289912325) 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] 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": []} | [
"IIIZIIZ",
"IZIIIIZ",
"IIZZIII",
"ZIZIIII",
"IIIZIZI",
"IIIIIZZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII"
] | [
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
] | 0.98536 | [
-0.024098191269280936,
0.10524355101333904,
3.067480798899388,
-2.4795487615594722,
1.4157644610210667,
-1.2341834220046084,
3.36051929023539,
0.14671254289912325,
0.6324692582136666,
3.1755019404194624,
2.7242921554374817,
2.9709060603581516,
1.1094108561068616
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 33 |
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