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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
4bc37b26da0f51222429a67e38d55b8f | 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": 4}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [256, 255], "expectation_value": -0.22611190645835236, "params": [[-0.0732], [0.07100000000000001]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0025295418426278687, 0.0025819332773640664], "optimization_time": 2.788699150085449} | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + 0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -1.0 * (Z(1) @ Z(7)) + -0.5 * (Z(1) @ Z(8)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-1.7347128891183488e-08) q[0];
cx q[4], q[0];
h q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(-1.7347128891183488e-08) q[7];
cx q[4], q[7];
cx q[0], q[7];
rz(-1.7347128891183488e-08) q[7];
cx q[0], q[7];
h q[8];
cx 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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IZIIZIIII",
"IZIIIIIIZ",
"ZIIIZIIII",
"ZIIIIIIIZ",
"IIIIZIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIIZZII",
"ZIIZIIIII",
"IIIZIIZII",
"IIIZIZIII",
"IZZIIIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"... | [
-0.25,
-0.25,
-0.25,
-0.25,
0.75,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.75,
0.25,
0.25,
1,
0.5,
0
] | 0.668474 | [
-1.7347128891183488e-8,
1.2533586225251228e-7,
-2.8523106027489244e-8,
-1.1183967720600031e-7,
-0.6878848908241337,
-1.570796261220588,
-1.570796324452154,
-1.5707962293283368,
-1.5707963097025133,
1.5707963605924862
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 311 |
e6f5f7344f65c4a1f156bb9648ed863a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 4}, ... | {"states": [77, 78], "expectation_value": -1.397147580128852, "params": [[-0.0737, -0.07540000000000001, -0.0616], [0.07350000000000001, 0.0747, 0.068]], "bitstrings": ["0110010", "0110001"], "total_optimization_steps": 10, "probabilities": [0.015837717795064443, 0.016108097104030248], "optimization_time": 4.8216176033... | 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(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(4) + -0.5 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110010", "0110001"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.1374338262775128) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.5141024789065256) q[1];
h q[2];
ry(-1.5141024789065256) q[2];
h q[3];
ry(1.4590942705866212) q[3];
h q[4];
ry(1.4590942705866212) q[4];
h q[5];
ry(-0.5141218154998566) q[5];
h q[6];
cx q[6], q[5];
ry(0.5141218154... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZZII",
"IZIIIZI",
"IZIIZII",
"IIZIIZI",
"ZIIIZII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-2,
-0.5,
-1,
0,
-0.5
] | 0.997421 | [
-1.5141024789065256,
1.4590942705866212,
-1.0282436309997132,
0.7068623946813855,
-0.3995033358839512,
0.5047482531940948,
-0.4899081905812286,
0.27040199392320335,
-0.22448066528365312,
0.21508645779198987,
0.11251527262301743,
0.13551759362693228,
0.036679109681780155,
-0.042493123121424... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
a9df2c16e7d96c32af9751f0e1a9f46a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [216, 90], "expectation_value": -3.939742885180696, "params": [0.8973000000000001, -0.17470000000000002, 0.8991, 0.0015, 0.9028, -0.062400000000000004, 0.9062, 0.0098, -0.0051, 0.39330000000000004, 0.0038, 0.0089, 0.9093, -0.060000000000000005, 0.9114000000000001, 0.00030000000000000003, 0.9036000000000001, ... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * Z(5) + -0.5 * Z(0) + -0.5 * Z(6) + 0.0 * Z(1) + -1.5 * Z(2) + -0.5 * Z(... | 5 | 8 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["00100111", "00101110", "10100101", "10101100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.9062625778470087) q[0];
rz(0.1469040189925021) q[0];
ry(0.04688011247713439) q[1];
ry(-0.035280598705792324) q[2];
ry(0.2603406271841221) q[3];
ry(1.0030732452165743) q[4];
ry(1.7089166071150488) q[5];
ry(2.3667584163061086) q[6];
ry(1.6127464577692254) 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": []} | [
"IIZIIIIZ",
"IZZIIIII",
"IZIIIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IIIIZZII",
"IIIZIZII",
"ZIZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"IIZIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-0.5,
0,
-1.5,
-0.5,
-0.5,
-1
] | 0.98346 | [
0.9062625778470087,
0.04688011247713439,
-0.035280598705792324,
0.2603406271841221,
1.0030732452165743,
1.7089166071150488,
2.3667584163061086,
1.6127464577692254,
0.001588727257674491,
2.203277107831404,
1.7373195780478687,
0.2938080379850042,
0.1068690756630959,
0.7217816754589331,
-0.... | {
"n_parameters": 40,
"n_qubits": 11,
"optimal_eigenvalue": -4.90625,
"target_ratio": 0.97,
"target_value": -4.7590625
} | 58 |
20a60ed013bc1976376f734be7d8d92c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 12], "expectation_value": -1.9998648604775686, "params": null, "bitstrings": ["1111", "0011"], "total_optimization_steps": 13, "probabilities": [1.9001409473807688e-05, 0.9999183586751094], "optimization_time": 4.054786682128906} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0011"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
e2da53f2601911b6330135d24d63d089 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "ta... | {"states": [2922, 2938], "expectation_value": -2.8416246307558186, "params": [[[0.9267000000000001, -0.00030000000000000003], [0.6514, -0.33140000000000003], [1.3045, -0.0013000000000000002], [1.3003, -0.0019], [0.1437, -0.5828], [1.2964, 0.0016], [1.3070000000000002, -0.0017000000000000001], [0.812, 0.1256000000000000... | 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... | 1 | 12 | 2 | {"smallest_eigenvalues": [-4.625, -4.625, -4.625, -4.625], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.625, "smallest_bitstrings": ["100000011100", "010010000101", "100001000101", "000110010100"], "largest_eigenvalue": 7.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rz(1.925807257390188) q[0];
ry(2.8865928955564844) q[0];
rz(-1.3025906877857891) q[0];
rz(-1.8854878343324604) q[1];
ry(0.11453992321966486) q[1];
rz(1.5462369731675878) q[1];
rz(1.2546896258587337) q[2];
ry(2.9114132210326087) q[2];
rz(-1.5462675411740592) q[2];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIZI",
"IIIIIZIIIIZI",
"IIIIZIIIIIZI",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIIZZIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
... | 0.971667 | [
1.3492032621311592,
0.08780766555731653,
-0.050999588996601605,
-0.5485071043826558,
1.27960618334703,
-0.07116894564547403,
1.7650027090512987,
0.0685816074750682,
0.01857928720625495,
-0.4533508645413217,
1.3944181990712468,
0.07795141407357836,
1.313308185702431,
0.06116900813553497,
... | {
"n_parameters": 44,
"n_qubits": 12,
"optimal_eigenvalue": -4.625,
"target_ratio": 0.97,
"target_value": -4.48625
} | 18 |
348c13052b9cd507aa792296e385f0a4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [0, 1], "expectation_value": -6.635924648234976, "params": [[[-0.0012000000000000001, 0.4456], [0.0028, 0.5664], [-0.0018000000000000002, -0.0106], [0.0022, 0.5900000000000001], [0.0026000000000000003, 0.5216000000000001], [0.0022, 0.5946], [0.8053, 0.0034000000000000002]], [[-0.0009000000000000001, 0.0067],... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.06478935654218318) q[0];
rz(0.010473094700834906) q[0];
rx(-0.21029945099044114) q[1];
rz(0.36193904458961335) q[1];
rx(-0.12407138095515016) q[2];
rz(0.046088532858524545) q[2];
rx(0.1874119633339978) q[3];
rz(0.35704809683533245) q[3];
rx(-0.0838195345979585) 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",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-1,
-1,
-0.75,
-0.5,
2,
-1,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
0.75,
1.5,
-1,
-0.5,
-0.25
] | 0.979758 | [
0.06478935654218318,
0.20218073164039307,
-0.21029945099044114,
0.4704675727431508,
-0.12407138095515018,
0.33009272048242233,
0.18741196333399776,
0.12867352073879185,
-0.08381953459795849,
-0.28813328048276804,
0.29408685795202144,
-0.42763869643912095,
0.9971024611824714,
0.068911216138... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 8 |
d553277f50a2caebf7d64bfa2366fbf1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4... | {"states": [0, 1], "expectation_value": -8.055944191715774, "params": [[[0.0026000000000000003, 0.004], [0.0024000000000000002, 0.0058000000000000005], [0.0024000000000000002, 0.006900000000000001], [0.0024000000000000002, 0.005], [-0.0027, 0.0064], [0.0027, 0.0061], [1.5988, 0.003]]], "bitstrings": ["1111111", "111111... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + -2.25 * Z(4) + 2.0 * Z(1) + -1.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.0, "smallest_bitstrings": ["1111110", "1111100", "1010100", "1000100", "1011100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6244170222714969) q[0];
h q[1];
ry(0.7824975594798811) q[1];
h q[2];
ry(-1.2488340445429937) q[2];
h q[3];
ry(0.750036580810066) q[3];
h q[4];
ry(-1.2488340445429937) q[4];
h q[5];
ry(0.7963883987253267) q[5];
h q[6];
cx q[6], q[0];
ry(0.6244170222714969) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZIIIZ",
"IIIZIZI",
"IIZIIZI",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IZZIIII",
"IZIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
-1,
-0.75,
-1,
-1.25,
-0.75,
-0.75,
-0.25,
-0.25,
-1,
2,
-1,
0.5,
-0.25,
-2.25,
2,
-1.5,
0.5,
1
] | 0.96275 | [
-1.2488340445429937,
1.6043294875879333,
-1.0691927359798892,
1.5927767974506535,
1.5649951189597622,
2.892550652166787,
-0.8386926862915725,
1.500073161620132,
-2.8460184121839456,
-0.03428641686045621,
-0.14060491147893758,
-0.758107943261047,
0.6149085041257748,
0.16605770370895406,
1... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 500 |
613ef125dc4e28340a6427c0ac6373f5 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 3, "target": 2}, {"capacity": 3, "source": 3, "target": 6... | {"states": [58360, 58364], "expectation_value": -6.6168294988138765, "params": [1.612, 0.0026000000000000003, 1.6046, 0.007, 1.6115000000000002, 0.0012000000000000001, 0.0025, 0.0023, 0.0025, 0.0089, 0.0027, 0.0039000000000000003, 1.6117000000000001, 0.0011, 1.6083, 0.0013000000000000002, 1.6038000000000001, 0.0032, 1.... | 0.875 * (Z(0) @ Z(1)) + 0.875 * (Z(2) @ Z(1)) + 0.4375 * (Z(2) @ Z(0)) + 2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(8)) + 1.0 * (Z(10) @ Z(11)) + 3.0 * (Z(12) @ Z(11)) + 1.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(13)) + 1.0 * (Z(14) @ Z(13... | 18 | 16 | 1 | {"smallest_eigenvalues": [-37.624999999999694], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.749999999999716, "smallest_bitstrings": ["0001110000000011"], "largest_eigenvalue": 84.37499999999994} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(2.33246591973068) q[0];
rz(-1.4797298029163883) q[0];
rx(3.034262380501139) q[1];
rz(-1.3671634194239497) q[1];
rx(2.844954897000549) q[2];
rz(-0.1507424939227966) q[2];
rx(0.09303229139166129) q[3];
rz(-0.1919721744733692) q[3];
rx(0.09303229139166129) q[4];
rz(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIZZIIIIII",
"IIIIIIIZZIIIIIII",
"IIIIIIIZIZIIIIII",
"IIIIIIZIZIIIIIII",
"IIIIIIZIIZIIIIII",
"IIIIIIZZIIIIIIII",
"IIIIZZIIIIIIIIII",
"IIIZZIIIIIIIIIII",
"IIIZIZIIIIIIIIII",
"IIZIIIIIIIIIZIII",
"IZZIIIIIIIIIIIII",
"IZIIIII... | [
0.875,
0.875,
0.4375,
2,
1,
0.5,
2,
1,
1,
1,
3,
1.5,
-0.5,
1,
-1,
1,
-1,
2,
-1,
0.875,
-2,
-2,
-0.5,
0.4375,
-1,
-1,
0.875,
3.5,
1.75,
1.75,
9,
4.5,
3,
6,
6,
3,
9,
0.5,
-0.75,
1,
1,
-1.5,
-0.75
] | 0.975514 | [
2.33246591973068,
-0.9324153315878805,
3.034262380501139,
-1.3671634194239497,
2.844954897000549,
-0.1507424939227966,
0.09303229139166129,
-0.1919721744733692,
0.48148107538044876,
0.2220551215114627,
1.071389716391299,
2.8122451934812642,
-0.11827595875594393,
2.998101331925135,
-1.094... | {
"n_parameters": 40,
"n_qubits": 16,
"optimal_eigenvalue": -37.624999999999694,
"target_ratio": 0.97,
"target_value": -36.496249999999705
} | 33 |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [57019, 57015], "expectation_value": -19.287807447236577, "params": null, "bitstrings": ["0010000101000100", "0010000101001000"], "total_optimization_steps": 100, "probabilities": [0.13803487135549652, 0.6661905481251028], "optimization_time": 1345.2469396591187} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 1 | 16 | 1 | {"smallest_eigenvalues": [-19.999999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999893, "smallest_bitstrings": ["0010000101001000"], "largest_eigenvalue": 68.00000000000026} | 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 | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5709) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3... | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIZIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIIZZIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 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 |
e98b53e0167756e0364419ca81191dd8 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [7, 120], "expectation_value": -0.14771285265394307, "params": [[-0.0217, -0.0091, 0.0763], [0.0264, 0.042100000000000005, -0.048100000000000004]], "bitstrings": ["1111000", "0000111"], "total_optimization_steps": 10, "probabilities": [0.008929102756159818, 0.009061386410381199], "optimization_time": 3.98666... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0000111"], "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];
cx q[4], q[0];
rz(-0.24909120364595053) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.24909120364595053) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.24909120364595053) q[2];
cx q[4], q[2];
rz(1.193373369563484) q[4];
rx(0.88264671234436... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"IIZIZII",
"ZIIIZII",
"IZIZIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1,
-0.5,
-0.5
] | 0.9471 | [
-0.24909120364595053,
1.193373369563484,
-2.0987034762529904,
0.8826467123443694,
0.7130854719426324,
-1.607622645586924,
2.3151552480734114,
-1.156367733753227,
0.5197043517845391,
-1.2593119444119423,
1.382078940991915,
-0.6706278912224314
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 359 |
9a44f437194a4879d426f5b6a5686299 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [38, 7], "expectation_value": -23.13645609781897, "params": null, "bitstrings": ["11011001", "11111000"], "total_optimization_steps": 85, "probabilities": [0.10998425517769823, 0.6193304682934831], "optimization_time": 154.09802412986755} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 11 | 8 | 3 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08091434685478957) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08091434685478957) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.08091434685478957) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.08091434685478957) q[3];
cx q[1], q[3]... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"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,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
-7.25,
-7,
-7,
-7,
-7.25,
-6.25,
-6.5,
-6.25
] | 0.97193 | [
0.08091434685478957,
0.19683262780482505,
-0.5276026023285014,
-0.2585790863730953,
0.6015554638553474,
0.11689174019538448,
-0.45237660767138255,
-0.07816655406896592,
-0.26502704531832566,
-0.8206004991266179,
-0.7539224517840958,
0.3364543138354996,
0.531455957300341,
-0.599578090869826... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 94 |
a887d91f9606dc8ffadccd46fa1ed57b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capaci... | {"states": [23, 17], "expectation_value": -1.8985476647886208, "params": [[0.0604, 0.0609, 0.059500000000000004], [-0.046200000000000005, -0.0459, -0.050800000000000005]], "bitstrings": ["101000", "101110"], "total_optimization_steps": 10, "probabilities": [0.029861646684017723, 0.032211989751794574], "optimization_tim... | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 3.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + -2.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.5 * Z(5) + 1.0 * Z(1) + -0.75 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["101110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-2.7026747242885296) q[0];
ry(0.04369070613606717) q[0];
rz(-2.3989077382019692) q[0];
rz(1.2390313594475595) q[1];
ry(2.7029776244779247) q[1];
rz(-1.8931095271762974) q[1];
rz(1.2296356242845414) q[2];
ry(0.07252810464454057) q[2];
rz(-0.8196100966248716) q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"ZIIIZI",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
-1.5,
-1.25,
3,
-1,
-0.5,
-0.5,
-0.75,
-2,
-0.25,
0.5,
1.5,
1,
-0.75
] | 0.983616 | [
-0.10851937358898682,
0.4487744318096143,
1.03540924260132,
-0.08402551519855138,
0.11521988296733376,
0.42557088328310494,
-0.050850343758797184,
0.2581494561174059,
-0.14082975527251856,
0.5348791684932794,
0.6541134772230921,
-0.015841090960918423,
0.10336452295257065,
0.568926069772383... | {
"n_parameters": 34,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 11 |
21fb824db9d4571acc6db752df147323 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [243, 182], "expectation_value": -22.831283337751408, "params": [[-0.0347, -0.0019, -0.0184], [0.0606, 0.0465, 0.0623]], "bitstrings": ["100001100", "101001001"], "total_optimization_steps": 10, "probabilities": [0.008456959665827206, 0.00956931491799677], "optimization_time": 5.851804971694946} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 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(8) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(8)) + 11.5 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 159.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.25549267704344236) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.25549267704344236) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(0.25549267704344236) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.30410009839415686) q[1];
rx(0.1258136... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIZIIII",
"ZIZIIIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11.5,
4,
9.5,
17,
17.5,
6.5,
14.5,
4.5,
11
] | 0.956651 | [
0.25549267704344236,
-0.3041000983941558,
0.9848763284385804,
1.2188036063518455,
-1.2756975813505953,
-1.8944588483939733,
0.2657877683668698,
-1.754342394793927,
-1.3441944115109647,
0.1258136736015813,
-0.15876278426209414,
-1.4367388359047493,
0.1028262008911357,
-0.011542361849532222,... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 500 |
-7757969477431106495 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 4, 5], [0, 4], [0, 1, 3], [0, 2], [1, 5], [1, 4], [0, 5]]} | {"states": [15, 52], "expectation_value": -0.03432703995925588, "params": [[0.0553], [-0.0514]], "bitstrings": ["110000", "001011"], "total_optimization_steps": 10, "probabilities": [0.01645936349067564, 0.016459683673478137], "optimization_time": 1.460573434829712} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.5 ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.499999999999999, "smallest_bitstrings": ["001011"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.09111091586215381) q[3];
cx q[4], q[3];
h q[5];
cx q[4], q[5];
rz(-0.09111091586215381) q[5];
cx q[4], q[5];
cx q[3], q[5];
cx q[4], q[0];
rz(0.7859303096513693) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.785930... | 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[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} | [
"IZZIII",
"ZZIIII",
"ZIZIII",
"IZIIIZ",
"IIZIIZ",
"ZIIIIZ",
"IZIIZI",
"IIZIZI",
"ZIIIZI",
"IIIIZZ",
"IIIZIZ",
"IZIIII",
"IIZIII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666674,
0.3333333333333333,
0.16666666666666674,
0.16666666666666674,
0.16666666666666674,
0
] | 0.552659 | [
-0.09111091586215381,
0.7859303096513693,
1.5740684013032924,
0.07019098985681702,
-0.8346450844076689
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 163 |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 1, "target": 3}]} | {"states": [1965, 3501], "expectation_value": -6.999472037177982, "params": null, "bitstrings": ["100001010010", "001001010010"], "total_optimization_steps": 100, "probabilities": [0.06089639755844991, 0.8704307752137688], "optimization_time": 261.7048056125641} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 2 | {"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, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -6.0, "smallest_bitstrings": ["100100010010", "100100010001", "100100001010", "010010001001", "010001100100", "010010001100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | 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(1.5681) 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];... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIIIIZIII",
"IZIIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
5144181ac27497fdfa9bdb5b8b799630 | edge_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": [1, 0], "expectation_value": -1.4960387657262855, "params": null, "bitstrings": ["10", "11"], "total_optimization_steps": 3, "probabilities": [0.003959394488014906, 0.9960387873231064], "optimization_time": 0.46961283683776855} | 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];
| null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[2] c;\nqubit[2] q;\nh q[0];\nh q[1];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[2] c;\nqubit[2] q;\nh q[0];\nh q[1];\nry(-1.5681) q[0];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = mea... | [
"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 |
a20be77afa1a8b9b75f27972fb6e9517 | 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": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, ... | {"states": [1, 75], "expectation_value": -1.6762667437682528, "params": [[-0.0796], [0.0727]], "bitstrings": ["11111110", "10110100"], "total_optimization_steps": 10, "probabilities": [0.0064753859288800425, 0.006677260034008905], "optimization_time": 5.598460912704468} | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + 3.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -1.75 * (Z(1) @ Z(6)) + -1.25 * (Z(1) @ Z(7)) + -3.5 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["10110100"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.05785398922763691) q[0];
rz(0.9342280145004445) q[0];
rx(0.7626187134539208) q[1];
rz(-0.24053467267746909) q[1];
rx(-0.10035809769432782) q[2];
rz(0.6211498284047625) q[2];
rx(0.04463559473375353) q[3];
rz(0.8788715835127476) q[3];
rx(0.8867672592479486) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIIIIZ",
"IZIIZIII",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIIIZZII",
"IIZIIZII",
"IIIIIZZI",
"IIIZIIZI",
"IIIZIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII"
] | [
-1.25,
-1.5,
-0.25,
-0.5,
3.5,
-1,
-0.5,
-1.75,
-1.25,
-3.5,
-0.25,
-0.5,
-0.5,
-0.75,
-1,
-0.25,
-0.75,
-1.5,
1.25,
1.5,
-0.5,
1.25
] | 0.978259 | [
-0.05785398922763691,
0.9626868323019014,
0.7626187134539207,
0.07050497449428902,
-0.10035809769432782,
1.126467781728492,
0.044635594733753524,
0.6411558748450237,
0.8867672592479487,
0.1939324997068545,
-0.10644275659624078,
0.5923681216939789,
0.8686606758937725,
0.5371592941047285,
... | {
"n_parameters": 89,
"n_qubits": 8,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 13 |
34fec832591d56601cbd146a15fec9ed | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 18, "source": 1, "target": 3}, {"weight": 16, "source": 1, "target": 4}, {... | {"states": [250, 122], "expectation_value": -57.482932825328035, "params": [0.3784, 0.20650000000000002, 0.7846000000000001, -0.0005, 0.7848, -0.0027, 0.782, 0.0041, 0.7825000000000001, 0.07440000000000001, 0.37020000000000003, 0.3074, 0.7884, -0.1052, 0.30610000000000004, -0.2361, 0.37610000000000005, 0.19990000000000... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 13.5 * Z(1) + 10.0 * Z(0) + 17.0 *... | 18 | 8 | 4 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.08399526504899095) q[0];
rz(0.2825788937886795) q[0];
rx(0.7951459296419685) q[1];
rz(0.2003437432581271) q[1];
rx(1.0221893354097433) q[2];
rz(-0.3092263127594003) q[2];
rx(1.0231214214866293) q[3];
rz(0.10389188217607151) q[3];
rx(0.970134509765303) q[4];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
10,
17,
20,
13.5,
5,
5,
6
] | 0.974076 | [
-0.08399526504899095,
0.11179873042160347,
0.7951459296419685,
0.2003437432581271,
1.0221893354097433,
-0.3092263127594003,
1.0231214214866293,
0.10389188217607151,
0.970134509765303,
0.1704895690175754,
0.36114319075678797,
0.4543183591063792,
0.6989834795043587,
-0.038232563756867066,
... | {
"n_parameters": 93,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 9 |
0615486ccb356b09654d7a8dd1e9f354 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -2.220043358794536, "params": [[0.061200000000000004, 0.0734, 0.0784], [-0.0446, -0.0644, -0.07100000000000001]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.02435002068188039, 0.026598325635234992], "optimization_time": 3.82449769973... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1111110", "1111100"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.007324372560228134) q[0];
rz(-0.3217446099573232) q[0];
rx(-0.32112615429581043) q[1];
rz(0.2552145491671141) q[1];
rx(0.05797674138136179) q[2];
rz(-0.45678662559611716) q[2];
rx(0.05797674138136179) q[3];
rz(-0.1372770562752476) q[3];
rx(-0.17000396403266071) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIIZZI",
"IIZIZII",
"IIIZIZI",
"IIZZIII",
"IIIZZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-0.75,
-1,
-0.75,
-0.75,
-0.25,
-1.5,
-0.75,
-1.25,
-0.25,
1.75,
-0.5,
-0.75,
-0.25,
-0.25,
0.5,
-0.75,
-1,
1,
0.75
] | 0.97204 | [
-0.007324372560228134,
-0.3217446099573232,
-0.32112615429581043,
0.2552145491671141,
0.05797674138136179,
-0.45678662559611716,
-0.1372770562752476,
-0.17000396403266071,
1.27681703400942,
0.03300015164953574,
2.905576028200642,
-0.0747657468147398
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 8 |
004fec6dde465c635092e241587799d2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -22.23111787673806, "params": [0.0018000000000000002, -0.0018000000000000002, 0.0041, -0.0004, 0.0049, -0.0016, 0.2008, 0.2026, 0.0018000000000000002, 0.009300000000000001, 0.0029000000000000002, 0.0028, 0.0067, -0.0011, 0.0013000000000000002, 0.0053, 0.0032, 0.0047, 0.00680000... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(7)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(8)) + -0.75 * (Z(10) @ Z(0)) + -0.25 * (Z(10) @ Z(5)) + -0.75 * (Z(10) @ Z(7)) + -0.25 * (Z... | 14 | 12 | 4 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.036603444507143236) q[0];
rz(pi/2) q[0];
ry(-0.1770629942720438) q[1];
ry(0.10848540845482582) q[2];
ry(0.41998100884814926) q[3];
ry(-0.036603444507143236) q[4];
ry(-0.13297238769801667) q[5];
ry(-0.12933091288117352) q[6];
ry(0.11406664992615917) q[7];
ry(-0.09... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIZIIIIZ",
"IIIIZIIIIIIZ",
"IIIZIIIIIIIZ",
"IIIZIIZIIIII",
"IIIZZIIIIIII",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IZIIIIIIIIIZ",
"IZIIIIZIIIII",
"IZIIZIIIIIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIIIZII... | [
-0.5,
-0.75,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
-1,
-0.75,
-0.25,
-0.75,
-0.25,
-1,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-1.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
-0.25,
-0.... | 0.971584 | [
-0.036603444507143236,
-0.1770629942720438,
0.10848540845482582,
0.41998100884814926,
-0.13297238769801667,
-0.12933091288117352,
0.11406664992615917,
-0.09527787620251557,
0.03587711974143865,
0.12324902507602095,
0.01746353473568535,
0.2999484069967422,
-0.017250151119821644,
-0.12251026... | {
"n_parameters": 146,
"n_qubits": 12,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 6 |
4a01a984c253fac78cca60269d01efc1 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [81, 73], "expectation_value": -3.047616589177586, "params": [0.8045, 0.003, -0.0146, 0.4645, 0.8019000000000001, 0.5349, 0.8004, 0.44260000000000005, 0.17300000000000001, 0.32320000000000004, -0.0088, 0.41960000000000003, 0.8105, 0.2169, 0.8092, 0.0037, -0.0135, 0.0009000000000000001, 0.7936000000000001, 0.... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.5 * Z(5) + -1.5 * Z(1) + -0.5 * Z(2) + -1.0 * Z(3) + -0.5 * Z(6) | 3 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101110", "0011110", "0110110", "1101001"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.6793430139584373) q[0];
rz(-0.5475083314169016) q[0];
rx(0.09515557675715071) q[1];
rz(0.4627722943263448) q[1];
rx(1.739060974583087) q[2];
rz(0.6202117139471692) q[2];
rx(0.042183941876142855) q[3];
rz(0.392309081606653) q[3];
rx(-0.11805148560226901) 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": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IZIIIZI",
"IIIIZZI",
"IZIZIII",
"IIIZIZI",
"IIIZZII",
"ZIZIIII",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1.5,
-1.5,
-0.5,
-1,
-0.5
] | 0.982293 | [
1.6793430139584373,
-0.2659334535269083,
0.09515557675715071,
0.3302807664246088,
1.739060974583087,
0.3162368239205352,
0.042183941876142855,
0.5392977024642969,
-0.11805148560226902,
0.5788311737990788,
0.08362319787918186,
0.5828470670098009,
1.4443840052954673,
0.3194847730018116,
0.... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 14 |
fc603aae74a127a53d7b15155a35177e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 12, "source": 1, "target": 2}, {"weight": 18, "source": 1, "target": 7}, {"weight": 7, "source": 2, "tar... | {"states": [252, 220], "expectation_value": -65.27000601380094, "params": [0.3378, -0.2338, 0.7894, 0.02, 0.7948000000000001, 0.020800000000000003, 0.38870000000000005, 0.192, 0.7899, -0.0055000000000000005, 0.7889, 0.0089, 0.7842, -0.0932, 0.2891, -0.219, 0.0721, 0.3684, 0.34240000000000004, -0.2605, 0.787600000000000... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 13.5 * Z(2) ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 161.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.12600111597027835) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.12600111597027835) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.12600111597027835) q[1];
cx q[0], q[1];
rz(-0.7094581060834471) q[0];
rx(0.06131908867994372) q[0];
h q... | 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] 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 flo... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
13.5,
5,
15,
12.5,
18,
12,
15,
6.5,
0.5
] | 0.974056 | [
-0.12600111597027835,
1.3067247501817936,
-0.7094581060834483,
1.2847492232068922,
-0.6159332494798558,
1.8244581211638342,
1.4514479566830987,
-0.7129505066649858,
-1.0491840220649427,
0.06131908867994373,
0.0752940319779882,
-0.4954143064920319,
-0.13474376247105507,
0.052450775178995906... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -76,
"target_ratio": 0.97,
"target_value": -73.72
} | 61 |
3801215515983026246 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 7, 8, 9], [0, 3], [8, 4], [9, 5], [5, 6]]} | {"states": [463, 459], "expectation_value": -0.7883057152545543, "params": [0.627, -0.187, 0.49110000000000004, 0.0017000000000000001, 0.8098000000000001, 0.0488, 0.8071, 0.0043, 0.8089000000000001, 0.0492, 0.798, 0.0039000000000000003, 0.8086, 0.0649, 0.7988000000000001, 0.008400000000000001, 0.8051, -0.04400000000000... | 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(8) @ Z(2)) + 0.05 * (Z(8) @ Z(1)) + 0.05 * (Z(8) @ Z(7)) + 0.05 * (Z(9) @ Z(2)) + 0.05 * (Z(9) @ Z(1)) + 0.05 * (Z(9) @ Z(7)) + 0.05 * (Z(9) @ Z(8)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + 0.... | 6 | 10 | 1 | {"smallest_eigenvalues": [-2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2], "number_of_smallest_eigenvalues": 30, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["01010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.14316797175038293) q[0];
rz(1.457948909881848) q[0];
rx(2.176710658589622) q[1];
rz(2.2740183021549143) q[1];
rx(0.16860642316842833) q[2];
rz(1.7368765684963305) q[2];
rx(1.7829052162851906) q[3];
rz(1.6988420129138966) q[3];
rx(0.4181867493221704) q[4];
rz(1.715... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIIZZI",
"IIZIIIIZII",
"IIZIIIIIZI",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIZIIZ",
"IZIIIZIIII",
"ZIIIZIIIII",
"IIIZZIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIZIII"... | [
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,
0.1,
0.1,
0.1,
0.09999999999999998,
0.09999999999999998,
0,
0,
0,
0,
0
] | 0.977425 | [
0.14316797175038296,
-0.1128474169130479,
2.176710658589622,
0.7032219753600184,
0.16860642316842833,
0.16608024170143426,
1.7829052162851906,
0.12804568611899983,
0.4181867493221705,
0.14483979241766343,
-0.5241921271377973,
0.09008135645699225,
2.15015184548095,
-0.19584888197323191,
1... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -2.2,
"target_ratio": 0.97,
"target_value": -2.134
} | 154 |
781a5cbaedfad51177446aee58aa4ef9 | 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": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 8}, {"sour... | {"states": [268, 396], "expectation_value": -4.923209658633479, "params": [[[0.6002000000000001, -0.0007], [0.6041000000000001, 0.0015], [0.0, 0.2866], [-0.0056, 0.3239], [0.3236, 0.0654], [0.6039, -0.0038], [0.6099, 0.0037], [-0.022500000000000003, 0.3108], [-0.016300000000000002, -0.3121]], [[0.6055, -0.0007], [0.602... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(7) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["001111010", "101111000", "011100011", "001110011", "010100111"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.34474393867558) q[0];
ry(2.8496748015276547) q[0];
rz(2.1297874536861583) q[0];
rz(2.837741945527105) q[1];
ry(3.070033154328602) q[1];
rz(-0.06732781726738679) q[1];
rz(1.579910129126195) q[2];
ry(0.2628825067643377) q[2];
rz(-1.238071229580376) q[2];
rz(-0.57209... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IZIIIIIIZ",
"IIIIIIZZI",
"IZIIZIIII",
"IIIIZIIZI",
"IIZIIIZII",
"ZIIIIIZII",
"ZIIIZIIII",
"IZIIIZIII",
"IIIIZZIII",
"IIZIIZIII",
"ZIIIIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZIZIII",
"IZIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"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,
-1.5,
0,
-1,
-0.5,
-1.5,
-0.5,
-1.5,
-2,
-1
] | 0.971902 | [
1.0857766173482153,
-0.03939777129925263,
1.167815925246234,
0.0380440924994683,
0.12890667684351254,
0.1560783654046572,
-0.0835121141754016,
0.1934971587536377,
-0.12689497654607673,
0.3518610241348738,
0.6618186505820802,
0.0033061686442420815,
0.9635269386096543,
0.08719720060799273,
... | {
"n_parameters": 48,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 13 |
bb51b85a8f0cca1e878093cb2d4e9f25 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [225, 236], "expectation_value": -0.22335042794911628, "params": [[0.0608, 0.0641, 0.0687], [-0.0494, -0.0495, -0.060000000000000005]], "bitstrings": ["00011110", "00010011"], "total_optimization_steps": 10, "probabilities": [0.005574506619081924, 0.0062773656542263676], "optimization_time": 9.66608524322509... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["00010011"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IIZZIIIZ",
"IZIZIIIZ",
"IZZIIIIZ",
"IZZZIIII",
"IZZZIIIZ",
"IIIZIIZ... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.125,
0.125,
-0.625,
0.125,
... | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
-2686085399355553765 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 4, 5, 6, 7], [1, 3, 4, 5, 6, 7, 8], [0, 2, 3, 4, 5, 6, 8], [1, 2, 4, 5, 6, 7, 8], [2, 3, 5, 6, 7, 8]]} | {"states": [252, 499], "expectation_value": -0.41138819975444857, "params": [[-0.3498], [0.3548]], "bitstrings": ["100000011", "000001100"], "total_optimization_steps": 40, "probabilities": [0.00311321978558042, 0.003150504742462876], "optimization_time": 9.887319326400757} | 0.05714285714285714 * (Z(0) @ Z(2)) + 0.08095238095238094 * (Z(4) @ Z(2)) + 0.05714285714285714 * (Z(4) @ Z(0)) + 0.11428571428571427 * (Z(5) @ Z(2)) + 0.05714285714285714 * (Z(5) @ Z(0)) + 0.10476190476190475 * (Z(5) @ Z(4)) + 0.11428571428571427 * (Z(6) @ Z(2)) + 0.05714285714285714 * (Z(6) @ Z(0)) + 0.10476190476190... | 1 | 9 | 1 | {"smallest_eigenvalues": [-0.9714285714285715], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9714285714285713, "smallest_bitstrings": ["000001100"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.02134949200875242) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.022413948289666915) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.02134949200875242) q[4];
cx q[0], q[4];
h q[5];
cx q[2], q[5];
rz(-0.9209257677941867)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIIZZI",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIIIIZZII",
"... | [
0.05714285714285714,
0.08095238095238094,
0.05714285714285714,
0.11428571428571427,
0.05714285714285714,
0.10476190476190475,
0.11428571428571427,
0.05714285714285714,
0.10476190476190475,
0.13809523809523808,
0.09047619047619047,
0.03333333333333333,
0.08095238095238094,
0.114285714285714... | 0.880379 | [
-0.02134949200875242,
-0.022413948289666915,
-0.9209257677941867,
-0.0495512051522503,
0.4871901773412453,
0.6906557378802944,
-0.005886298242176261,
-0.001118901046591704,
-0.013243039990093538,
0.0007058752492532102,
-0.09038167837976777,
-1.5701981139555163,
-1.5748517619967042,
0.01959... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -0.9714285714285715,
"target_ratio": 0.97,
"target_value": -0.9422857142857144
} | 374 |
410de2f5e7b085a9584492471fcec789 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"sour... | {"states": [145, 146], "expectation_value": -6.440074454467763, "params": [[-0.01, 0.6092000000000001, -0.0109, 0.1481, 0.5995, -0.0256, 0.3946, 0.5959, 0.6009], [-0.008700000000000001, 0.6083000000000001, -0.0036000000000000003, 0.184, 0.603, -0.02, 0.3992, 0.5957, 0.6081], [0.0195, 0.6061000000000001, -0.018000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ 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(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) ... | 10 | 9 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -6.5, "smallest_bitstrings": ["111011010", "101110011", "101111001", "110111001", "101100111", "101111010", "111010011", "101101110", "101101101"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.17184980415359202) q[0];
ry(1.3095299978766257) q[1];
ry(-0.14694001712269134) q[2];
ry(0.07165593829439787) q[3];
ry(0.8629317787092313) q[4];
ry(0.019688720525559825) q[5];
ry(0.14744705118820456) q[6];
ry(0.7537683714961805) q[7];
ry(0.8425069824343094) q[8];
cz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZIZIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZZI",
"IIIIZIZII",
"IIIZIIZII",
"ZIIIIIZII",
"IIIIIZIZI",
"IIIIZZIII",
"IZIIIZIII",
"IIIIIZZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2.5,
-1.5,
-1.5,
-0.5,
-1.5,
-1.5,
-2,
-1.5
] | 0.97538 | [
0.17184980415359202,
1.3095299978766257,
-0.14694001712269134,
0.07165593829439787,
0.8629317787092313,
0.019688720525559825,
0.14744705118820456,
0.7537683714961805,
0.8425069824343094,
0.1261435072950652,
0.7493093705772537,
0.27837256676308586,
-0.046336641371872975,
0.9615818164434443,... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 12 |
2548882ad4081bf6af959ce2e70710f1 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target":... | {"states": [254, 255], "expectation_value": -16.689246070810807, "params": null, "bitstrings": ["100000001", "100000000"], "total_optimization_steps": 100, "probabilities": [0.05069918314737553, 0.3660069107252913], "optimization_time": 270.8439185619354} | -2.5 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + -3.5 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(5)) + 1.0 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(1)) + -3.5 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(2)) + -3.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-35.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 38.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(0.7544583391881676) q[1];
h q[2];
ry(0.7939614720948391) q[2];
h q[3];
ry(0.7406465879393128) q[3];
h q[4];
ry(-0.15792229190634466) q[4];
h q[5];
h q[6];
h q[7];
ry(0.8792011261581768) q[7];
h q[8];
ry(0.7862720267863845) q[8];
cx q[5], q[8];
ry(-0.7... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[5], 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... | [
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"IIIZIZIII",
"IIIZIIIZI",
"IIIZZIIII",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IZIIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZIIIIZII",
"ZIIIIZIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIIZIIIII",
"ZIIIIIZII",
"ZZIIIIIII",
"IIZIIIIZI",
"... | [
-2.5,
-2.5,
-3,
1,
-3.5,
1.5,
0.5,
1,
1,
1,
1,
-3.5,
-3.5,
-2.5,
-3.5,
1.5,
-3.5,
-4,
-3,
-3,
0.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.922735 | [
1.572544053572769,
1.7584022523163536,
0.8405661044920982,
-2.010341305488433,
0.11461744759943902,
-0.3158445838126893,
-0.06311259151142926,
1.2763883235505067,
1.5879229441896783,
-0.015738269431764217,
0.6517194175978477,
1.632722299906158,
1.4812931758786256,
1.5089166783763353,
-0.... | {
"n_parameters": 78,
"n_qubits": 9,
"optimal_eigenvalue": -35,
"target_ratio": 0.97,
"target_value": -33.949999999999996
} | 500 |
ee9ffaf88497dd32ef902dfb90acd8c9 | 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": [2251, 2187], "expectation_value": -113.49309460477521, "params": [0.9066000000000001, -0.0575, 0.4655, -0.24700000000000003, -0.0007, -0.22740000000000002, -0.0102, 0.0007, 0.8996000000000001, -0.019, 0.4459, 0.319, -0.0049, -0.3284, 0.2151, -0.007500000000000001, 0.9039, -0.0027, 0.3269, -0.0436, 0.8695, 0... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(4)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(10) @ Z(9)) + 8.0 * (Z(5) @ Z(11)) + 4.0 * Z(1) + 10.0 * Z(0) + 6.5 * Z(4) + -7.0 * Z(2) + -4.0 * Z(3) + -6.0 * Z(6) + 17.0 * Z(8) + ... | 4 | 12 | 3 | {"smallest_eigenvalues": [-135.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -124.5, "smallest_bitstrings": ["011101110100"], "largest_eigenvalue": 120.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.1682343435558393) q[0];
rz(1.4740172658708879) q[0];
rx(-0.0014864200233102205) q[1];
rz(1.542780206494058) q[1];
rx(0.05228739197681547) q[2];
rz(1.576045976994025) q[2];
rx(-0.06420863546226216) q[3];
rz(1.428325687644346) q[3];
rx(0.8662974348222955) 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] x100;
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 floa... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIZIIIIIZ",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"IZIIIIIIIIZI",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"ZIIIIIZIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIZIIII",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIIZIIIIII",
"IIIZIIIIIIII",
"IIIIZIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
4,
10,
6.5,
-7,
-4,
-6,
17,
-5.5,
0.5,
14.5,
2,
-3.5
] | 0.971951 | [
1.1682343435558395,
-0.09677906092400813,
-0.0014864200233102205,
-0.028016120300839942,
0.05228739197681548,
0.005249650199128361,
-0.06420863546226216,
-0.14247063915055025,
0.8662974348222956,
-0.18102969966085336,
0.21015165689913579,
0.37381296514360884,
-0.06686811112429976,
-0.65874... | {
"n_parameters": 101,
"n_qubits": 12,
"optimal_eigenvalue": -135.5,
"target_ratio": 0.97,
"target_value": -131.435
} | 18 |
a645ae3643161db4224eacb5097991ef | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [883, 891], "expectation_value": -2.2853739668670237, "params": [0.11670000000000001, 0.47200000000000003, 0.0838, 0.4212, 0.6980000000000001, -0.0019, 0.6849000000000001, -0.1106, 0.2101, -0.2318, 0.6985, 0.0097, 0.7032, -0.0009000000000000001, 0.6684, 0.0285, 0.4163, 0.1879, 0.2076, 0.255, 0.69080000000000... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 18 | 12 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 31, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010000100",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.36080722853948355) q[0];
rz(0.0996859129594938) q[0];
rx(-0.13056929312637028) q[1];
rz(0.19671215211179605) q[1];
rx(0.6735834332027599) q[2];
rz(0.10719354986465578) q[2];
rx(0.7023405252413965) q[3];
rz(0.23632430860056663) q[3];
rx(0.04762823733000421) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIZIIZII",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIIZZZII",
"IIIIIIZIZZII",
"IIIIIIZZIZII",
"IIIIIIZZZIII",
"IIIIIIZZZZII",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIZIIIZII",
"IIIIZIIIIZII",
"IIIIZZIII... | [
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,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
... | 0.973415 | [
0.36080722853948344,
0.09626794605094101,
-0.13056929312637028,
0.19671215211179605,
0.6735834332027599,
0.10719354986465578,
0.7023405252413965,
0.23632430860056663,
0.04762823733000421,
-0.376581061409579,
0.6521420165365777,
0.007883441816705363,
0.6497910334820518,
0.14400396751876127,... | {
"n_parameters": 139,
"n_qubits": 12,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 20 |
d742f18d9d61b691ec5b2dbe8d1ae52d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 5}, {"weight": 19, "source": 1, "ta... | {"states": [237, 236], "expectation_value": -10.022468596120287, "params": [[-0.041600000000000005], [0.066]], "bitstrings": ["100010010", "100010011"], "total_optimization_steps": 10, "probabilities": [0.0036512575624744197, 0.004196372127598375], "optimization_time": 2.02441668510437} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 10.5 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 158.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.17395330551120458) q[0];
rz(0.6431646181740795) q[0];
rx(1.6954688567067546) q[1];
rz(-0.028620454418304114) q[1];
rx(1.5403158318592238) q[2];
rz(0.023881487221566803) q[2];
rx(1.5635728311765713) q[3];
rz(-0.27303456014271554) q[3];
rx(0.2823681779893861) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIZII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10.5,
9.5,
20.5,
9.5,
17,
5,
14.5,
10,
-1
] | 0.976931 | [
0.17395330551120458,
0.31144105261471694,
1.6954688567067546,
-0.028620454418304114,
1.5403158318592238,
0.023881487221566803,
1.5635728311765713,
-0.27303456014271554,
0.2823681779893861,
-0.3016098009609442,
1.5244076922853529,
-0.07739591827432267,
1.456717966923092,
0.13818020010777404... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -75.5,
"target_ratio": 0.97,
"target_value": -73.235
} | 14 |
5dad688a93671469362a3d3d00961b05 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [17, 12], "expectation_value": -0.1810285884904701, "params": [[0.06380000000000001, 0.077], [-0.0629, -0.07640000000000001]], "bitstrings": ["01110", "10011"], "total_optimization_steps": 10, "probabilities": [0.037871050584018476, 0.03787105058401848], "optimization_time": 1.7585406303405762} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(4) + -0.75 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.25, "smallest_bitstrings": ["11010", "01110", "10011"], "largest_eigenvalue": 4.75} | 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... | OPENQASM 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"ZIZII",
"IZZII",
"ZZIII",
"ZZZII",
"ZIIZI",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75
] | 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 |
-4019223225135766265 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 3, 4, 5, 6, 8, 10], [2, 3, 5, 6, 8, 9, 11], [2, 3, 6, 8, 9, 10, 11], [4, 5, 7, 8, 10], [0, 1, 3, 4, 5, 7, 9, 11], [0, 1, 2, 4, 5, 6, 7, 8, 11], [0, 1, 2, 3, 4, 7, 8, 9, 10], [10, 11, 5, 6], [0, 1, 3, 5, 10, 11], [1, 5, 7, 9, 10], [0, 1, 2, 4, 5, 6, 9,... | {"states": [1459, 1971], "expectation_value": -4.092642020452494, "params": [0.23770000000000002, 1.0136, 0.23770000000000002, 0.0018000000000000002, 1.8772, 0.5012, 1.2652, 0.0015, 0.8222, -0.41150000000000003, 0.8904000000000001, 0.0057, 1.3433000000000002, -0.1268, 1.7816, 0.009300000000000001, 1.6424, 0.0014, 1.492... | 0.1599206349206349 * (Z(1) @ Z(3)) + 0.11706349206349206 * (Z(4) @ Z(3)) + 0.17261904761904762 * (Z(4) @ Z(1)) + 0.1365079365079365 * (Z(5) @ Z(3)) + 0.17063492063492064 * (Z(5) @ Z(1)) + 0.17063492063492064 * (Z(5) @ Z(4)) + 0.2853174603174603 * (Z(6) @ Z(3)) + 0.10277777777777777 * (Z(6) @ Z(1)) + 0.1527777777777778 ... | 7 | 12 | 1 | {"smallest_eigenvalues": [-4.319047619047619], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.263492063492064, "smallest_bitstrings": ["100001001100"], "largest_eigenvalue": 23.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.02538474025734454) q[0];
rz(1.4831815181816808) q[0];
rx(1.6556196922238842) q[1];
rz(0.43512514850747125) q[1];
cx q[1], q[0];
rz(-0.4275816246808579) q[0];
cx q[1], q[0];
rx(-0.025384740257344544) q[0];
rz(-0.26357220537711407) q[0];
rx(1.2761062411142412) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZI",
"IIIIIIIZZIII",
"IIIIIIIZIIZI",
"IIIIIIZIZIII",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IIIIIZIIZIII",
"IIIIIZIIIIZI",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIZIIIIZIII",
"IIIZIIIIIIZI",
"IIIZIIIZIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IZIIIIIIZIII",
"IZIIIIIIIIZI",
"IZIIIIIZI... | [
0.1599206349206349,
0.11706349206349206,
0.17261904761904762,
0.1365079365079365,
0.17063492063492064,
0.17063492063492064,
0.2853174603174603,
0.10277777777777777,
0.1527777777777778,
0.2099206349206349,
0.14682539682539683,
0.14642857142857144,
0.1869047619047619,
0.1492063492063492,
0... | 0.9716 | [
-0.025384740257344544,
1.055599893500823,
1.6556196922238842,
0.43512514850747125,
1.2286988263233505,
-0.28405645643087474,
1.2947945955266436,
-0.06368171166390055,
1.603383315708184,
-0.0861361957498277,
-0.10053442955687256,
-0.8184014433212454,
1.6769013696120811,
-0.0284168172120862,... | {
"n_parameters": 55,
"n_qubits": 12,
"optimal_eigenvalue": -4.319047619047619,
"target_ratio": 0.97,
"target_value": -4.18947619047619
} | 11 |
ed01866ce53def5a36a69737a2fd120b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [65, 67], "expectation_value": -4.520971679928006, "params": [[[0.0028, 0.0061], [3.1609000000000003, 0.0078000000000000005], [0.0027, 0.0005], [0.0024000000000000002, 0.0099], [0.0025, 0.0068000000000000005], [0.0025, 0.007500000000000001], [1.6136000000000001, 0.0055000000000000005], [3.1612, 0.0022]]], "b... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.25 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000100", "10001100", "10011100", "10111100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.129145857303265) q[0];
rz(-0.04281809130716757) q[0];
rx(3.3646756556499158) q[1];
rz(-0.07126208372567235) q[1];
rx(0.2591409259719783) q[2];
rz(0.304554161903536) q[2];
rx(0.009149764329273965) q[3];
rz(-0.1564246855355176) q[3];
rx(-0.039435622912399666) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIIIZII",
"ZZIIIIII",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII"
] | [
-0.25,
-0.25,
-0.5,
-0.25,
1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
0,
-0.25,
0,
-1,
0.25,
0.25,
0.25,
0.5
] | 0.974438 | [
-0.129145857303265,
-0.04281809130716757,
3.3646756556499158,
-0.07126208372567235,
0.2591409259719783,
0.304554161903536,
0.009149764329273965,
-0.1564246855355176,
-0.039435622912399666,
-0.14455685554995432,
0.29369761094609903,
2.532166941005374,
-0.020718965674505502,
3.10609841605757... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
a145449c5913a1392d811f2ccc6af5aa | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [42581, 43605], "expectation_value": -2.0146664561395147, "params": [1.1505, 0.8210000000000001, 0.7088, 0.6589, 0.7687, 0.8035, 0.0021000000000000003, 0.0032, -1.1005, -0.5935, 0.7187, 0.73, 0.7807000000000001, 0.796, -0.0045000000000000005, 0.007500000000000001, 0.002, 0.001, 0.7839, 0.7862, -0.007, 0.0052... | 0.25 * (Z(0) @ Z(1)) + -0.0006714876033057851 * (Z(2) @ Z(0)) + -0.0006714876033057851 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0005165289256198348 * (Z(4) @ Z(0)) + -0.0005165289256198348 * (Z(4) @ Z(2)) + -0.0005165289256198348 * (Z(5) @ Z(1)) + -0.0005165289256198348 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 13 | 16 | 2 | {"smallest_eigenvalues": [-2.0231404958677466], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0231404958676933, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0092975206609784} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.0447966557957313) q[0];
rz(0.07131423416667737) q[0];
ry(0.662644638222067) q[1];
ry(0.8185137027801855) q[2];
ry(-0.051136446580891164) q[3];
ry(-1.0371650388098332) q[4];
ry(0.6025664805427163) q[5];
ry(0.6151331597724534) q[6];
ry(-0.1448694802391766) 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": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0006714876033057851,
-0.0006714876033057851,
0.25,
-0.0005165289256198348,
-0.0005165289256198348,
-0.0005165289256198348,
-0.0005165289256198348,
0.25,
-0.0006714876033057851,
-0.0006714876033057851,
-0.0005165289256198348,
-0.0006714876033057851,
-0.0006714876033057851,
-0.000... | 0.979863 | [
1.0447966557957313,
0.662644638222067,
0.8185137027801855,
-0.051136446580891164,
-1.0371650388098332,
0.6025664805427163,
0.6151331597724534,
-0.1448694802391766,
-0.014179578177504175,
0.8156568204305812,
-0.03050633494376635,
0.6498597396482383,
0.06694987679109128,
0.760685844686245,
... | {
"n_parameters": 124,
"n_qubits": 16,
"optimal_eigenvalue": -2.0231404958677466,
"target_ratio": 0.97,
"target_value": -1.962446280991714
} | 1 |
-7519521110846919070 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 5], [1, 5], [0, 3], [1, 2], [3, 4]]} | {"states": [51, 43], "expectation_value": -2.0487974271784957, "params": null, "bitstrings": ["001100", "010100"], "total_optimization_steps": 43, "probabilities": [0.03147689554420772, 0.7534349315161607], "optimization_time": 36.32807374000549} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101011", "010100"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.7382467231228353) q[0];
h q[1];
ry(0.0023525293488659837) q[1];
h q[2];
h q[3];
ry(0.0023525293488659837) q[3];
h q[4];
h q[5];
cx q[5], q[3];
ry(-0.0023525293488659837) q[3];
cx q[5], q[3];
cx q[5], q[1];
ry(-0.10259089348554211) q[3];
cx q[4], q[3];
ry(0.... | 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[5], 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 ... | [
"ZIZIII",
"ZIIIZI",
"IIZIIZ",
"IIIZZI",
"IZZIII",
"ZIIIII",
"IIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.980652 | [
0.0047050586977319675,
1.4379786821556038,
-0.20518178697108422,
1.3905943955822477,
1.4764934462456707,
-0.8262593516508492,
0.06813645182011432,
-0.4746906809694254,
0.2906476889766572,
0.6764545325474014,
0.11925025444267218,
-0.6626688118796074,
-0.045556010865526575,
-0.26140070777036... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 29 |
5922738481475965753 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5], [1, 2], [5, 6], [3, 4], [2, 5], [4, 5], [2, 3], [0, 5]]} | {"states": [42, 85], "expectation_value": -0.08891172711771154, "params": [[0.07490000000000001], [-0.076]], "bitstrings": ["1010101", "0101010"], "total_optimization_steps": 10, "probabilities": [0.008895085235867732, 0.008895085235867732], "optimization_time": 1.264357328414917} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(0) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110101", "0001010", "0101010", "1010101"], "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];
cx q[5], q[1];
rz(0.6664083698956057) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(0.6664083698956057) q[2];
cx q[5], q[2];
cx q[1], q[2];
rz(0.6664083698956057) q[2];
cx q[1], q[2];
rz(1.7405073826637363e-08) q[1];
rx(-0.736780... | 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[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[5], q[6];
... | null | {"circuits": [], "gradients": []} | [
"IZIIIZI",
"IZIIZII",
"IIIIZZI",
"ZZIIIII",
"IIIZZII",
"IZZIIII",
"IIZZIII",
"IZIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IIIIIIZ"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.489707 | [
0.6664083698956057,
1.7405073925702257e-8,
-0.7367802448361848
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 85 |
b5e7e2797d8b3a448650a56d35ed7f4a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [0, 1], "expectation_value": -9.347959618052826, "params": [[[0.0033, 0.0033], [0.0023, 0.0041], [0.0024000000000000002, 0.0013000000000000002], [0.0024000000000000002, 0.0073], [0.0025, 0.0077], [0.0022, 0.0008], [0.0023, 0.0067], [1.6035000000000001, 0.004200000000000001]]], "bitstrings": ["11111111", "111... | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + -0.75 * Z(6) + -0.75... | 1 | 8 | 1 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.008805449081746186) q[0];
rz(0.008805449081746186) q[0];
rx(-0.06507551884342087) q[1];
rz(0.07837949212351895) q[1];
rx(0.11121083091104535) q[2];
rz(-0.12325739099878535) q[2];
rx(0.11121083091104535) q[3];
rz(-0.19545083417781706) q[3];
rx(0.23085209549836783) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IIIIIZZI",
"IIIZIZII",
"IZIZIIII",
"IIZIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.5,
-0.25,
-0.5,
-2.25,
-0.5,
-0.75,
-1.75,
-0.5,
-0.75,
1.75,
-0.25,
0.5,
-0.25,
0.5,
-0.75,
-0.75,
0,
-0.75,
1.5
] | 0.982302 | [
0.008805449081746186,
-0.06507551884342087,
0.07837949212351895,
0.11121083091104535,
-0.12325739099878535,
-0.19545083417781706,
0.23085209549836783,
0.25202255510293076,
0.018150580089486897,
0.04944532338292,
0.24812448242597843,
2.8641026750519627,
0.20462351945670706
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 10 |
e7056fbb187e68baa5d05b0b9cb6a901 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [141, 157], "expectation_value": -1.7819903844041507, "params": [0.6980000000000001, 0.3632, 0.341, 0.367, 0.4217, 0.4446, 0.6939000000000001, 0.2571, 0.7042, 0.0006000000000000001, 0.7005, 0.0044, -0.0017000000000000001, 0.4577, 0.7046, -0.040600000000000004, 0.6225, 0.4133, 0.2929, 0.40890000000000004, 0.2... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(4) @ Z(2) @ Z(5)) + 0.12... | 18 | 8 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01100010", "10010010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.3483964545021323) q[0];
h q[1];
ry(1.3483964545021323) q[1];
h q[2];
ry(-1.5377717834128013) q[2];
h q[3];
ry(-0.5718354355912505) q[3];
ry(-0.060597795734454125) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[3];
ry(0.5718354355912505) q[3];
cx q[5], q[3];
ry(-0.5... | 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",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZIZII",
"IIZIIZII",
"IIZZIIII",
"IIIZIZIZ",
"IIZIIZIZ",
"IIZZIIIZ",
"IIZZIZII",
"IIZZIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"ZIIIIIZI",
"IIIZZIII",
"ZIIIZIII",
"ZIIZIIII",
"IIIZZIZI",
"ZIIIZIZI",
"ZIIZIIZI",
"ZIIZZII... | [
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,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.125,
-0.125,
-0.125,
-0.125,
0.25,
0.125,
-0.75,... | 0.996817 | [
-1.5377717834128013,
-1.4355349010589802,
1.3483964545021323,
-1.143670871182501,
0.7256483222204215,
-0.3397090750168832,
0.4854071333661133,
-0.3806094686092039,
0.2510875381992757,
-0.09032787450619814,
0.08059260300373108,
0.19771184529814245,
-0.14932726000292476,
-0.10015168483220893... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
89f9d52c565383e4dbce8a5723ffbf81 | 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": [1103, 1101], "expectation_value": -83.71170030935625, "params": [0.5935, 0.5957, 0.20020000000000002, 0.1951, 0.0026000000000000003, 0.0014, 0.001, 0.0054, 0.6025, 0.5949, 0.020300000000000002, 0.0016, 0.3471, 0.3114, 0.5956, 0.5994, 0.5913, 0.5979, 0.3932, 0.3876, 0.5977, 0.5957, 0.5918, 0.5937, 0.20120000... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(4) @ Z(0)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(10) @ Z(1)) + 7.0 * (Z(10) @ Z(8)) + 7.0 * (Z(10) @ Z(9)) + 1.0 * Z(1) + 17.0 * Z(0) + 13.5 * Z(4) + -5.0 * Z(5) + 17.0 * Z(7) + 0.5 * ... | 14 | 11 | 2 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["01110110010"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.9412677031887948) q[0];
rz(pi/2) q[0];
ry(0.15946318632822984) q[1];
ry(0.11635803530746566) q[2];
ry(-0.042858719398179014) q[3];
ry(0.9041964884151457) q[4];
ry(0.012795641123970684) q[5];
ry(-0.08494765481926883) q[6];
ry(0.6154732474362147) q[7];
ry(1.00337049... | OPENQASM 3.0;
include "stdgates.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]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIZIIIIIIZ",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IIZIZIIIIII",
"IZZIIIIIIII",
"ZIIIIIIIIZI",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IZIIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
1,
17,
13.5,
-5,
17,
0.5,
12.5,
5,
12.5,
-10.5,
-12
] | 0.971251 | [
0.9412677031887948,
0.15946318632822984,
0.11635803530746566,
-0.042858719398179014,
0.9041964884151457,
0.012795641123970684,
-0.08494765481926883,
0.6154732474362147,
1.0033704915397226,
-0.16056493678807318,
0.762880967359321,
1.0521732076581927,
-0.45802956813882784,
-0.231188963188481... | {
"n_parameters": 81,
"n_qubits": 11,
"optimal_eigenvalue": -114.5,
"target_ratio": 0.97,
"target_value": -111.065
} | 19 |
a580428593ca2a54e0f078f27f8703fa | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [254, 127], "expectation_value": -0.5780172945630008, "params": [[-0.0755], [0.0717]], "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005147620632584195, 0.0052955991104135835], "optimization_time": 1.956594467163086} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "10011010", "10001010", "10000010"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7323893184553074) q[0];
h q[1];
ry(1.6021768552422677) q[1];
h q[2];
ry(0.8045778722749679) q[2];
h q[3];
ry(0.8154121842764465) q[3];
h q[4];
h q[5];
ry(0.8024040181420935) q[5];
cx q[1], q[5];
ry(-0.8024040181420935) q[5];
cx q[1], q[5];
cx q[5], q[3];
r... | 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": []} | [
"IIIIIZIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"ZIZIIIII",
"IIZIIIZI",
"IIZIZIII",
"IIIZZIII",
"IZIIZIII",
"IZZIIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
-0.25,
0.5,
-0.25,
-1,
-0.25,
-0.5,
-1.25,
-1,
-1.25,
-0.5,
-1.25,
0.25,
-0.25,
0,
1.25,
0,
1.5,
0.25,
-3
] | 0.993954 | [
-1.6414614992998269,
1.6021768552422677,
1.604808036284187,
1.630824368552893,
1.6091557445499358,
1.4196572032246375,
-1.4647786369106148,
0.09519838854373029,
-0.21010186821471288,
0.22777370581489204,
-0.0839483296551511,
0.24515748303306414,
-0.07700521961837196
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 1 |
fb6267fe9e00f958431b621d7db08da1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [63, 1], "expectation_value": -0.05438797002733134, "params": [[0.0546], [-0.0478]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.008431489742570644, 0.008558191131594301], "optimization_time": 3.582456111907959} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.8256979864230616) q[0];
ry(-0.06047270206602687) q[1];
rz(-pi) q[1];
ry(-0.014969240940445772) q[2];
rz(-pi) q[2];
h q[3];
rz(-pi) q[4];
ry(-0.03264831394078908) q[4];
h q[5];
ry(0.38986338903582735) q[5];
cx q[3], q[5];
ry(-0.38986338903582735) q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIIZZI",
"IZIZIII",
"IIIZIZI",
"IIIZZII",
"IZZIIII",
"IIZIIZI",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
0.25,
-0.25,
0.5,
-1,
0,
0.25,
0.25
] | 0.9716 | [
-1.4905875067940901,
1.6866535584938058,
-1.6513959728461232,
0.7797267780716547,
-0.9916435268869962,
-1.0342852189492289,
-1.045626493862757,
-1.5904426894702208,
-0.4859469214319778,
-1.4056839420523877,
-0.3002862876041261,
0.19491589361314454,
-0.12374949131886509,
-0.0260039025309298... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 4 |
dc8ac5f82febba9dcace181eb5c76eb3 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [102, 58], "expectation_value": -0.31581710082810477, "params": [[0.0669, 0.0719, 0.0608], [-0.057300000000000004, -0.0653, -0.052700000000000004]], "bitstrings": ["0011001", "1000101"], "total_optimization_steps": 10, "probabilities": [0.012786364747621482, 0.012786364747621501], "optimization_time": 7.6600... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011001", "1000101"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"IIZZIZI",
"IZIZIZI",
"IZZIIZI",
"IZZZIII",
"IZZZIZI",
"IIZIZII",
"ZZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.25,
0.125,
-0.25,
-0.125,
-0.125,
-0.125,
-1
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
b2987b745cb916df3f5a63553d1bb231 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 4... | {"states": [1016, 984], "expectation_value": -3.672503975374365, "params": [0.7908000000000001, 0.7984, 0.7932, 0.7971, 0.8048000000000001, 0.8001, 0.807, 0.8026000000000001, 0.8082, 0.805, 0.8086, 0.8052, 0.8057000000000001, 0.8038000000000001, 0.8082, 0.8044, 0.801, 0.8029000000000001, 0.0016, 0.0039000000000000003, ... | 1.0 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -1.0 * (Z(10) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(10)) + 0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2... | 14 | 11 | 1 | {"smallest_eigenvalues": [-8.666666666666668, -8.666666666666668, -8.666666666666668, -8.666666666666668], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.666666666666666, "smallest_bitstrings": ["01000100111", "01000101011", "10000101011", "10000100111"], "largest_eigenvalue": 22.333333333333332} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-0.42489732038415) q[0];
h q[1];
cx q[1], q[0];
ry(0.42489732038415) q[0];
cx q[1], q[0];
ry(-0.181574895014258) q[0];
ry(0.22365458351727543) q[1];
h q[2];
h q[3];
ry(1.5129755350558685) q[3];
h q[4];
ry(1.5129755350558685) q[4];
h q[5];
ry(-0.6828907176516... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIIIIZIIIZI",
"IIIIIIIIIZZ",
"ZIIIZIIIIII",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"IIZIZIIIIII",
"ZIZIIIIIIII",
"IIZZIIIIIII",
"IIIIIIZIZII",
"IIIIIIIZZII",
"IIIIIZIIZII",
"IZIIIIZIIII",
"IZIIIIIZIII",
"IZIIIZIIIII",
"IZIIZIIII... | [
1,
0.5,
0.5,
-0.5,
-0.5,
0.33333333333333337,
-1,
0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
2.5,
2.5,
1,
0.16666666666666674,
0.16666666666666674,
1.5,
-1.5,
1,
1,
1.3333333333333335,
-1
] | 0.975182 | [
1.5129755350558685,
1.2940641662349193,
-1.4434681259045128,
-1.365781435303222,
-1.0381781223982296,
-0.9460806634509542,
-1.3563210276497097,
0.4232448186560208,
-0.8497946407683,
0.6077418778647552,
-0.5785294489967114,
0.7760594618815354,
-0.017943551017564507,
-0.363149790028516,
-0... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -8.666666666666668,
"target_ratio": 0.97,
"target_value": -8.406666666666668
} | 1 |
9b6c90aee56ab84919f7c826e678a024 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [21, 35], "expectation_value": -0.06924244514435833, "params": [[-0.0207, -0.046400000000000004, -0.019700000000000002], [0.0013000000000000002, 0.0546, 0.0379]], "bitstrings": ["101010", "011100"], "total_optimization_steps": 10, "probabilities": [0.017391233201222003, 0.017391233201222017], "optimization_t... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(2) @ Z(5)) + 0.12... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.375, "smallest_bitstrings": ["101010", "011010", "011100"], "largest_eigenvalue": 4.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZZIII",
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"IIZZII",
"ZIIZII",
"ZIZIII",
"IIZZIZ",
"ZIIZIZ",
"ZIZIIZ",
"ZIZZII",
"ZIZZIZ",
"IZIIZI",
"ZIIIZI",
"ZZIIII",
"ZZIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.125,
-0.25,
-0.625,
-0.125,
-0.25,
0.125
] | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
9537b03a0720fea9486a83164aae2375 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4}, {"capaci... | {"states": [62, 1], "expectation_value": -5.238254755356023, "params": [[0.0743, 0.0736, 0.059500000000000004], [-0.0799, -0.08020000000000001, -0.06430000000000001]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.05462862922335435, 0.06728007806374135], "optimization_time": 3.... | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.75 * (Z(2) @ Z(3)) + -3.5 * (Z(2) @ Z(4)) + 3.25 * (Z(5) @ Z(0)) + -1.75 * (Z(5) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(4) + -1.25 * Z(2) + 1.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.25, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.04459291637044844) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.13836609871095987) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.04459291637044844) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.13836609871095987) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IIIZZI",
"IIZZII",
"IZIZII",
"ZIIIIZ",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-1,
-1.5,
-1,
-0.5,
-1.75,
-3.5,
3.25,
-1.75,
0,
-0.25,
-0.75,
0.75,
-1.25,
1.5
] | 0.971099 | [
-0.04459291637044844,
-0.13836609871095987,
-0.0035492850593641656,
-0.050246306238886776,
-0.3040872882365267,
0.09375049462482174,
-1.3952808476570036,
-0.935560578412678,
-0.6808490296717252,
-0.8285443807602375,
-0.9401926242259768,
0.8324490365775066,
-1.6550995825587071,
-0.140733839... | {
"n_parameters": 37,
"n_qubits": 6,
"optimal_eigenvalue": -15.25,
"target_ratio": 0.97,
"target_value": -14.7925
} | 85 |
4b2b5ba04f490b1a55b5e14f626537a5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [76, 28], "expectation_value": -5.496464084735464, "params": null, "bitstrings": ["0110011", "1100011"], "total_optimization_steps": 27, "probabilities": [0.06634840432148624, 0.9303662506151494], "optimization_time": 26.046062231063843} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(5) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110011", "1100011"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6070261127721035) q[0];
h q[1];
ry(-1.551331179186838) q[1];
h q[2];
cx q[2], q[0];
ry(0.6070261127721035) q[0];
cx q[2], q[0];
ry(-0.6149725597461607) q[0];
ry(0.9885050351854432) q[2];
h q[3];
ry(1.495667010488557) q[3];
h q[4];
ry(1.495667010488557) 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",
"IZIIIIZ",
"IZIIZII",
"ZIIIIIZ",
"ZIIIZII",
"ZZIIIII",
"IIIZIZI",
"IZIZIII",
"ZIIZIII",
"IIZIIZI",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
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,
-1.5,
-1.5,
-1.5,
-1.5,
-1,
0
] | 0.998608 | [
-1.551331179186838,
-1.584904635171181,
1.495667010488557,
-1.214052225544207,
0.7319726548460825,
-0.3768706356320442,
0.5130647606787211,
-0.4762038482282329,
0.35645834763980605,
-0.17531532782789122,
0.19033161818229352,
0.18406705281432265,
0.0246127673755438,
0.0846861305640349
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
6f68752aa11bf29d2c5bf70b7aee5702 | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5},... | {"states": [1022, 2047], "expectation_value": -13.67662807534012, "params": [[[-1.0305, 1.112], [-0.0019, 1.1051], [-0.0015, -0.0017000000000000001], [-0.0022, 0.0016], [-0.0032, -0.0025], [-0.003, 0.6725], [-0.0028, -0.0028], [-0.0015, -0.0019], [0.0015, 0.0017000000000000001], [-0.0029000000000000002, 0.0019], [0.002... | -1.5 * (Z(0) @ Z(4)) + -2.0 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(5) @ Z(6)) + -2.5 * (Z(9) @ Z(6)) + -2.0 * (Z(9) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(3)) + -1.5 * (Z(2) @ Z(3)) + 0.... | 15 | 11 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.3306161346832662) q[0];
ry(0.1282936864632926) q[1];
ry(-0.1569323560708638) q[2];
ry(-0.17406561676359228) q[3];
ry(-0.1813239548317277) q[4];
ry(0.021904441913818906) q[5];
ry(-0.018163160549723424) q[6];
ry(-0.1569323560708638) q[7];
ry(0.0786847030964946) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIIZIIZI",
"IIIIIIIIIZZ",
"IIIIZZIIIII",
"IZIIZIIIIII",
"IZIIIZIIIII",
"IIIZZIIIIII",
"IIIZIZIIIII",
"IZIZIIIIIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"IZZIIIIIIII",
"ZIIIIIIZIII",
"IIIIIIIZZII",
"ZIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIZIIII... | [
-1.5,
-2,
0.5,
-2,
-2.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
0.5,
1,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970768 | [
-0.3306161346832662,
0.1282936864632926,
-0.1569323560708638,
-0.17406561676359228,
-0.1813239548317277,
0.021904441913818906,
-0.018163160549723424,
0.0786847030964946,
-0.13862069923391235,
0.09046781149723293,
3.0756514376030974,
0.10109525453870331,
0.03851081522772909,
0.0473190008752... | {
"n_parameters": 18,
"n_qubits": 11,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 58 |
35eb9d942c7a41333657e8c3e5a9166a | 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": [215, 213], "expectation_value": -34.88178077030941, "params": [1.5092, 0.0068000000000000005, 0.0026000000000000003, 0.008400000000000001, 1.3934, 0.0023, 1.8086, 0.0098, 1.8068000000000002, 0.0013000000000000002, 1.5130000000000001, 0.0038, 1.8047000000000002, 0.0002, 0.7026, 0.0047, 1.8044, 0.003100000000... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(0) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(4)) + 7.5 * (Z(10) @ Z(0)) + 16.0 * Z(3) + 0.5 * Z(2) + 24.0 * Z(4) + 1.0 * Z(0) + ... | 18 | 11 | 1 | {"smallest_eigenvalues": [-136.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -121.5, "smallest_bitstrings": ["11100101010"], "largest_eigenvalue": 183.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.006362140037937115) q[0];
rz(0.30205789432897845) q[0];
rx(0.13110511013328713) q[1];
rz(-0.0552897905076877) q[1];
rx(0.1094134832773643) q[2];
rz(-0.4120081711499459) q[2];
rx(3.0929155747703785) q[3];
rz(-0.44865455108498953) q[3];
rx(3.332174217413523) 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",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIIZIZIII",
"IIIIZZIIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZIIIIIZIIII",
"ZIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIZIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
16,
0.5,
24,
1,
1,
17,
13.5,
-2.5,
1,
8.5,
-13.5
] | 0.977684 | [
-0.006362140037937114,
0.38655321266764114,
0.13110511013328713,
-0.0552897905076877,
0.1094134832773643,
-0.4120081711499459,
3.0929155747703785,
-0.44865455108498953,
3.332174217413523,
0.944935093328662,
-0.13715742277068424,
0.790763539916941,
2.8902360652566594,
-0.1616839886096682,
... | {
"n_parameters": 31,
"n_qubits": 11,
"optimal_eigenvalue": -136.5,
"target_ratio": 0.97,
"target_value": -132.405
} | 23 |
0f1d9308b8b1d06d30bfa4de6cbc9040 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [17, 56], "expectation_value": -0.32421706568975317, "params": [[-0.079], [0.07200000000000001]], "bitstrings": ["101110", "000111"], "total_optimization_steps": 10, "probabilities": [0.017471610907908573, 0.018196356126613057], "optimization_time": 1.2524991035461426} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6230010565610689) q[0];
rz(0.06856754591903558) q[0];
rx(0.05228651755820995) q[1];
rz(0.2247192988641979) q[1];
rx(0.623001056561069) q[2];
rz(0.422733719531101) q[2];
rx(-0.04142085028007082) q[3];
rz(0.5561544826034971) q[3];
rx(0.03278011693440643) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"ZIZIII",
"ZIIIIZ",
"IIZIZI",
"IZZIII",
"ZZIIII",
"IZIIZI",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-0.5,
-1.5,
-1
] | 0.972312 | [
0.623001056561069,
0.312284130557242,
0.05228651755820995,
0.2247192988641979,
0.422733719531101,
-0.04142085028007082,
0.5561544826034971,
0.03278011693440643,
0.14994131830223134,
0.8695450938462626,
1.3203077449435106,
-0.04661008090570343,
0.2783265346359588,
0.09648654899272954,
1.0... | {
"n_parameters": 113,
"n_qubits": 10,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 27 |
6097cf775599b8557e7af2c2f7eca9b3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [50, 51], "expectation_value": -4.335694080989821, "params": [-0.016900000000000002, 0.2702, -0.016900000000000002, 0.2684, 0.5019, -0.1169, 0.5055000000000001, 0.0143, 0.5067, -0.1228, 0.5043, -0.0196, 0.055, 0.2497, 0.0473, 0.2907, -0.0047, 0.2711, -0.0053, 0.26380000000000003, 0.5049, -0.1268, 0.5082, -0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + -1.0 * Z(3) + -2.0 * Z(4) + 0.0 * Z(2) | 5 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.17349410514767027) q[0];
rz(0.08031441587324295) q[0];
rx(0.9169583174344421) q[1];
rz(0.06589120691276662) q[1];
rx(0.8485481032409208) q[2];
rz(-0.09356931584706807) q[2];
rx(0.01443467024941106) q[3];
rz(0.5895262852757224) q[3];
rx(-0.07012639157574801) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZIZI",
"ZIIZIII",
"IIZIIZI",
"IZZIIII",
"ZIZIIII",
"IIZZIII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1,
-1,
-2,
0
] | 0.972301 | [
-0.1734941051476703,
0.197823354069303,
0.9169583174344422,
-0.08214820098416294,
0.8485481032409208,
-0.06751398233261285,
0.014434670249411058,
0.4584043213272069,
-0.07012639157574801,
0.40963988139525653,
0.7041567545778239,
-0.2917325500719837,
0.5137890923078036,
-0.08890028440950837... | {
"n_parameters": 68,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 14 |
d2e3f71e5c020057da0dd1812bdf6517 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 15, "source": 1, "targe... | {"states": [31, 30], "expectation_value": -11.511437034983445, "params": [[-0.0385, 0.0716], [0.0675, -0.046900000000000004]], "bitstrings": ["100000", "100001"], "total_optimization_steps": 10, "probabilities": [0.025460202007313665, 0.031639121624391774], "optimization_time": 4.440765857696533} | 2.5 * (Z(0) @ Z(1)) + 2.5 * (Z(2) @ Z(1)) + 2.5 * (Z(2) @ Z(0)) + 2.5 * (Z(3) @ Z(1)) + 2.5 * (Z(3) @ Z(0)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(5) @ Z(4)) + 13.0 * Z(1) + 8.5 * Z(0) + 14.0 * Z(2) + 12.5 * Z(3) + 1... | 1 | 6 | 2 | {"smallest_eigenvalues": [-46.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -43.0, "smallest_bitstrings": ["100001"], "largest_eigenvalue": 100.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1661276350304126) q[0];
rz(0.1368317091350482) q[0];
ry(0.04120953092979138) q[1];
rz(0.6237278116787298) q[1];
cz q[1], q[0];
ry(0.8639209804903288) q[0];
rz(-0.20514548926058004) q[0];
ry(0.1701074616062198) q[1];
ry(0.11262869094573309) q[2];
rz(0.3181473576708... | OPENQASM 3.0;
include "stdgates.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... | {"matching": "perfect", "extra": "{\"n\": 4}"} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
13,
8.5,
14,
12.5,
13.5,
8.5
] | 0.975208 | [
1.1661276350304126,
0.1368317091350482,
0.04120953092979138,
0.6237278116787298,
0.11262869094573309,
0.3181473576708103,
0.734978694415438,
-0.2651028550205645,
-0.11298443044296277,
-0.5003240831397697,
0.31670140934387114,
0.2559084340847741,
0.0720191758938528,
0.2177008887266607,
0.... | {
"n_parameters": 181,
"n_qubits": 16,
"optimal_eigenvalue": -13.999999999999932,
"target_ratio": 0.97,
"target_value": -13.579999999999934
} | 75 |
ccc75c37fec3353f90dd581f2dccee63 | 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": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [112, 88], "expectation_value": -6.496515641776741, "params": null, "bitstrings": ["0001111", "0100111"], "total_optimization_steps": 28, "probabilities": [0.06700895329536706, 0.9297461640992183], "optimization_time": 25.95672583580017} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -1.5 * Z(4) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["0001111", "0100111", "1100011"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.369257418809364) q[0];
h q[1];
ry(-0.518272022789717) q[1];
h q[2];
ry(1.5393951423361902) q[2];
h q[3];
cx q[3], q[1];
ry(0.518272022789717) q[1];
cx q[3], q[1];
ry(-0.7513951832887684) q[1];
ry(1.1364619027543497) q[3];
cx q[2], q[3];
ry(-0.22300864672577... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"IZIZIII",
"ZIIZIII",
"IIIZIZI",
"IZIIZII",
"ZIIIZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2.5,
-2.5,
-1.5,
-1,
-0.5
] | 0.997873 | [
-1.5505528970944424,
-1.417266205241047,
1.5393951423361902,
1.369257418809364,
-1.036544045579434,
0.913453256028574,
-0.6749117521695421,
0.44601729345155106,
-0.15296686223845277,
0.22091931333721174,
-0.03462276784399819,
-0.15612762696814192,
0.2402740536854266,
0.16178691756223332,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
8930984217390217498 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [0, 6], [0, 4], [4, 5], [4, 6], [1, 2], [3, 4], [1, 3]]} | {"states": [92, 98], "expectation_value": -0.06105597199857772, "params": [[0.0703], [-0.055200000000000006]], "bitstrings": ["0100011", "0011101"], "total_optimization_steps": 10, "probabilities": [0.008300682503563028, 0.008300682503563028], "optimization_time": 0.6724886894226074} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -1.0, "smallest_bitstrings": ["0100111", "1100100", "1100011", "1100010", "1011100", "1011011", "1011010", "0100110", "0100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(0.6354597764865111) q[3];
cx q[5], q[3];
cx q[5], q[4];
rz(0.6354597764865111) q[4];
cx q[5], q[4];
cx q[3], q[4];
rz(0.6354597764865111) q[4];
cx q[3], q[4];
cx q[3], q[1];
rz(0.6354597764865111) q[1];
c... | 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[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[3], q[4];
... | null | {"circuits": [], "gradients": []} | [
"IZIZIII",
"ZIIIIIZ",
"IZZIIII",
"IIZZIII",
"ZIZIIII",
"IIZIIIZ",
"IIIZIZI",
"IIIIZZI",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.683267 | [
0.6354597764865111,
2.794806680898156e-8,
-0.6766526875631957
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 93 |
44024677ca28b32241620a387d32f127 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [0, 1], "expectation_value": -13.598882879935974, "params": [-0.0032, 0.24530000000000002, 0.0022, 0.2904, 0.0039000000000000003, 0.3037, 0.005200000000000001, 0.2645, 0.3176, 0.031900000000000005, 0.0011, 0.3099, 0.0007, 0.3131, 0.4091, 0.007500000000000001, -0.0037, 0.2651, 0.0046, 0.27030000000000004, 0.0... | -1.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.0 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(7)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(4) ... | 3 | 8 | 4 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["11111110", "11110110"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.19218907498559545) q[0];
rz(0.09291448036761274) q[0];
rx(-0.04967512536563515) q[1];
rz(-0.16789485095899792) q[1];
rx(-0.02711705055853979) q[2];
rz(0.05319382007744444) q[2];
rx(-0.12111715079099174) q[3];
rz(0.1279624991313213) q[3];
rx(0.23015179240913114) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IZIIIZII",
"IZIIZIII",
"ZZIIIIII",
"IZIIIIZI",
"IIZIIZII",
"IIZIZIII",
"ZIZIIIII",
"IZZIIIII",
"IIIZZIII",
"IIIZIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIZIIIII",
"IIIZIII... | [
-1.25,
-0.75,
-1.25,
2.75,
-1,
-1,
-1.25,
-0.5,
-0.75,
-1,
-0.75,
-1.25,
-1.25,
-1,
-1.25,
-2.5,
-0.25,
-2,
1,
-1,
2.25,
0.25,
2.25
] | 0.979512 | [
-0.19218907498559545,
0.24226762152849585,
-0.04967512536563515,
0.03839223908092401,
-0.027117050558539788,
0.1805599682181002,
-0.12111715079099175,
0.15017832014264118,
0.23015179240913117,
-0.2140719017473917,
-0.10195516285177114,
0.3252229958863298,
0.08491686831584225,
0.41598657944... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 6 |
5144181ac27497fdfa9bdb5b8b799630 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}]} | {"states": [38, 42], "expectation_value": -0.7562669615834439, "params": [0.8037000000000001, 0.7995, 0.0027, 0.0016, 1.1475, 0.5717, 0.7061000000000001, 0.6912, 0.8103, 0.7951, -0.0026000000000000003, -0.0026000000000000003, 0.7687, 0.7651, 0.0028, 0.0018000000000000002, -0.0151, -0.22870000000000001, 0.7419, 0.845100... | 0.25 * (Z(0) @ Z(1)) + -0.003125 * (Z(2) @ Z(0)) + -0.003125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.003125 * (Z(4) @ Z(0)) + 0.0015625 * (Z(4) @ Z(2)) + -0.003125 * (Z(5) @ Z(1)) + 0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.006249999999999978 * Z(1) + -0.006249999999999978 * Z(0) + -0.001562499999999994... | 13 | 6 | 2 | {"smallest_eigenvalues": [-0.759375, -0.759375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.753125, "smallest_bitstrings": ["101010", "010101"], "largest_eigenvalue": 0.7718750000000001} | 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] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIZI",
"IIZZII",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
-0.003125,
-0.003125,
0.25,
-0.003125,
0.0015625,
-0.003125,
0.0015625,
0.25,
-0.006249999999999978,
-0.006249999999999978,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944
] | 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 |
0f1d9308b8b1d06d30bfa4de6cbc9040 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [24, 56], "expectation_value": -3.639270114613711, "params": [0.20600000000000002, 0.2033, 0.20520000000000002, 0.20450000000000002, 0.20170000000000002, 0.19920000000000002, -0.0034000000000000002, 0.0011, -0.004, -0.0031000000000000003, 0.0046, 0.0049, 0.20500000000000002, 0.2018, 0.20370000000000002, 0.19... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(4) + -1.0 * Z(2) | 14 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6230010565610689) q[0];
rz(0.06856754591903558) q[0];
rx(0.05228651755820995) q[1];
rz(0.2247192988641979) q[1];
rx(0.623001056561069) q[2];
rz(0.422733719531101) q[2];
rx(-0.04142085028007082) q[3];
rz(0.5561544826034971) q[3];
rx(0.03278011693440643) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"ZIZIII",
"ZIIIIZ",
"IIZIZI",
"IZZIII",
"ZZIIII",
"IZIIZI",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-0.5,
-1.5,
-1
] | 0.972312 | [
0.623001056561069,
0.312284130557242,
0.05228651755820995,
0.2247192988641979,
0.422733719531101,
-0.04142085028007082,
0.5561544826034971,
0.03278011693440643,
0.14994131830223134,
0.8695450938462626,
1.3203077449435106,
-0.04661008090570343,
0.2783265346359588,
0.09648654899272954,
1.0... | {
"n_parameters": 113,
"n_qubits": 10,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 27 |
9915ff93784d747e82bcd9a73a2399e5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [28, 14], "expectation_value": -0.4869605104799329, "params": [[-0.0426, -0.0563, -0.043300000000000005, -0.048600000000000004], [0.0472, 0.0631, 0.0541, 0.0577]], "bitstrings": ["00011", "10001"], "total_optimization_steps": 10, "probabilities": [0.046009246219883955, 0.04600924621988397], "optimization_tim... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["10001", "00011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
0,
0
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
531e4441eff4c5873b966bf834cf52d8 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [119, 127], "expectation_value": -7.999386321843015, "params": null, "bitstrings": ["110001000", "110000000"], "total_optimization_steps": 80, "probabilities": [0.49992320745240526, 0.49992320745240526], "optimization_time": 167.97729063034058} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(8)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(3)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["110000000", "110001000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7769864129060373) q[0];
h q[1];
ry(-0.7952159371434646) q[1];
h q[2];
ry(1.5372083132000285) q[2];
h q[3];
ry(0.8697430703869377) q[3];
h q[4];
ry(0.8697430703869377) q[4];
cx q[2], q[4];
ry(-0.8697430703869377) q[4];
cx q[2], q[4];
ry(-0.04839656505682846... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IIIZIIZII",
"ZIIIIIZII",
"IIIIZIIZI",
"ZIIIZIIII",
"IIIIZIZII",
"IIZZIIIII",
"ZIZIIIIII",
"IIZIIIZII",
"IIZIZIIII",
"IIIIIZIZI",
"IIIZIZIII",
"ZIIIIZIII",
"IIIIZZIII",
"IIZIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"IZIIIZIII",
"... | [
-0.5,
-0.25,
-0.25,
1,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
-0.75,
-0.25,
-0.75,
-0.25,
1.5,
0.5,
-1,
0.25,
0.75
] | 0.993261 | [
1.5372083132000285,
1.7394861407738753,
1.6035429444931923,
-1.5539728258120746,
-1.5904318742869292,
-0.04839656505682846,
0.03689823600225966,
-0.023558954156701756,
-0.03628253472063196,
-0.022960330714711843,
0.03791568017069479,
-0.06984764664183707,
0.12461453077618921
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 1 |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [48615, 48855], "expectation_value": -13.822741391523788, "params": [[-0.1192, -0.0742, -0.114], [0.1426, 0.08660000000000001, 0.1145]], "bitstrings": ["0100001000011000", "0100000100101000"], "total_optimization_steps": 20, "probabilities": [0.0008711233456876089, 0.0008720073137429025], "optimization_time"... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 1 | 16 | 3 | {"smallest_eigenvalues": [-19.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999897, "smallest_bitstrings": ["0100000100101000"], "largest_eigenvalue": 68.00000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIZIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIIZZIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 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 |
1e8eda70963a542719de9c9e93de4b5d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": ... | {"states": [0, 262], "expectation_value": -18.76284502820701, "params": [-0.0, 0.26780000000000004, 0.0049, 0.28390000000000004, 0.0036000000000000003, 0.3045, 0.0014, 0.3119, 0.0006000000000000001, 0.3161, 0.0036000000000000003, 0.3171, 0.4091, -0.0013000000000000002, 0.4052, -0.0011, 0.0031000000000000003, 0.29910000... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(0)) + 2.25 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(8)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) ... | 6 | 12 | 2 | {"smallest_eigenvalues": [-21.25, -21.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["111011111001", "111011111101"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.03476591865861654) q[0];
rz(1.9570487491394992) q[0];
rx(-0.06201772275285634) q[1];
rz(1.3378609438728013) q[1];
rx(-0.1025729556225086) q[2];
rz(1.9695427859486898) q[2];
rx(0.7881709612814095) q[3];
rz(1.3031255824584296) q[3];
rx(-0.12710683926095898) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIZIIIIIIZ",
"IIIZIIIZIIII",
"IIIZIIIIIIIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIZI",
"IIIZIIIIIIZI",
"IIIIIIIIZIZI",
"IIIIIIZZIIII",
"IIIIZIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZIIIZI",
"IIIIIIIZIZII",
"IIIIZIIIIZII",
"IIIIIIZIIZII",
"IIIZIZIIIIII",
"IIIIIZIIIIZI",
"IIIIIZIII... | [
-0.75,
-0.5,
-0.25,
-0.75,
2.25,
-0.5,
-0.75,
-0.75,
-0.25,
-1,
-0.25,
-1,
-1.25,
-1,
-0.25,
-1.25,
-0.5,
-1.75,
-0.75,
-0.5,
-0.25,
-1,
-0.25,
-1,
-0.75,
-0.75,
-0.5,
-1.5,
-0.25,
-0.5,
0.5,
0.25,
-1.75,
0.25,
0.25,
-0.5,
-1,
1,
3.25
] | 0.970238 | [
0.03476591865861654,
0.3862524223446028,
-0.062017722752856344,
-0.2329353829220962,
-0.1025729556225086,
0.39874645915379325,
0.7881709612814095,
-0.26767074433646654,
-0.12710683926095895,
0.2771883198130702,
0.060401837250453325,
0.6324062174254571,
0.13234244883759477,
0.31418414805979... | {
"n_parameters": 97,
"n_qubits": 12,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 28 |
-6134423169788333202 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[10, 5], [1, 10], [0, 9, 3, 1], [1, 4], [1, 5], [0, 2], [0, 4, 5, 7, 11], [9, 2], [11, 1, 3, 7], [8, 1, 7], [10, 4], [0, 4, 5, 7, 8, 9], [0, 5, 8, 9, 11], [11, 2, 3, 5], [3, 6, 7, 8, 11], [8, 2, 11], [0, 3, 4, 5, 6, 11], [8, 1, 11], [11, 9, 3]]} | {"states": [2525, 2269], "expectation_value": -4.036553750704068, "params": [[[2.9974000000000003, 0.0091], [0.8849, 0.0057], [0.5547000000000001, 0.009000000000000001], [1.5598, 0.0014], [3.0011, 0.006], [2.9972000000000003, 0.0007], [1.1893, 0.0001], [1.9878, 0.0034000000000000002], [2.9982, 0.007], [2.99530000000000... | 0.5 * (Z(10) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(10)) + 0.16666666666666669 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333334 * (Z(9) @ Z(5)) + 0.08333333333333333 * (Z(9) @ Z(1)) + 0.16666666666666669 * (Z(9) @ Z(0)) + 0.11666666666666667 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.7333333333333325], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.700000000000001, "smallest_bitstrings": ["011100100010"], "largest_eigenvalue": 15.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.079682196565137) q[0];
rz(0.1423057806608436) q[0];
rx(-0.23256980474457692) q[1];
rz(0.30173157679126644) q[1];
rx(0.03686469051762095) q[2];
rz(0.15176414118335757) q[2];
rx(1.2756243045903373) q[3];
rz(0.32729010190857977) q[3];
rx(3.13376031669906) 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": []} | [
"IZIIIIZIIIII",
"IIIIIIZIIIZI",
"IZIIIIIIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIIIIIZZ",
"IIZIIIZIIIII",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIIIIIZIZIII",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIZIIIIIZIII",
"IIIIIIZZIIII",
"IZIIIIIZIIII",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIZIIIIZIIII",
"IIIIIIIZZ... | [
0.5,
0.5,
0.5,
0.16666666666666669,
0.08333333333333333,
0.08333333333333334,
0.08333333333333333,
0.16666666666666669,
0.11666666666666667,
0.16666666666666666,
0.11666666666666667,
0.25,
0.11666666666666667,
0.5,
0.5,
0.11666666666666667,
0.03333333333333333,
0.03333333333333333,... | 0.973465 | [
3.079682196565137,
0.1423057806608436,
-0.23256980474457692,
0.30173157679126644,
0.03686469051762095,
0.15176414118335757,
1.2756243045903373,
0.32729010190857977,
3.13376031669906,
-0.11715450606193209,
3.099171062510231,
-0.3493255765844765,
0.9188232789443651,
-0.07800419629882417,
2... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -4.7333333333333325,
"target_ratio": 0.97,
"target_value": -4.591333333333332
} | 11 |
-3610850663371186821 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 3, 4, 5, 7, 9, 10], [2, 5, 6, 7], [0, 1, 3, 4, 6, 7, 9, 10], [0, 2, 3, 4, 5, 8, 9, 10], [1, 2, 4, 5, 6, 10], [8, 5, 7], [9, 4, 5, 6], [0, 1, 2, 3, 5, 6], [0, 3, 5, 6, 7], [2, 3, 6, 7, 9, 10], [0, 2, 3, 5, 7, 9, 10], [0, 1, 2, 3, 6, 7, 8, 10], [2, 3, 4,... | {"states": [1335, 1847], "expectation_value": -2.5611878126636425, "params": [2.7373000000000003, 0.0021000000000000003, 0.21680000000000002, 0.0013000000000000002, 1.9453, 0.0358, 1.6974, 0.004, 2.6645000000000003, 0.0028, 0.38720000000000004, 0.0026000000000000003, 2.2467, 0.1241, 0.1752, 0.007500000000000001, 0.9564... | 0.0869047619047619 * (Z(0) @ Z(1)) + 0.0869047619047619 * (Z(3) @ Z(1)) + 0.17857142857142858 * (Z(3) @ Z(0)) + 0.06904761904761905 * (Z(4) @ Z(1)) + 0.05357142857142857 * (Z(4) @ Z(0)) + 0.0869047619047619 * (Z(4) @ Z(3)) + 0.08452380952380953 * (Z(5) @ Z(1)) + 0.14285714285714285 * (Z(5) @ Z(0)) + 0.14285714285714285... | 6 | 11 | 1 | {"smallest_eigenvalues": [-2.6357142857142866], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6214285714285723, "smallest_bitstrings": ["00011001000"], "largest_eigenvalue": 13.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(2.775789913355275) q[0];
rz(1.5968898128395104) q[0];
rx(2.331816518509612) q[1];
rz(1.59786578840394) q[1];
rx(2.9685984419076505) q[2];
rz(1.9908473552846022) q[2];
rx(1.8067383793394596) q[3];
rz(1.8163163738925006) q[3];
rx(0.6866347940223329) q[4];
rz(1.6943090... | OPENQASM 3.0;
include "stdgates.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",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIIZIII",
"IIIZIIZIIII",
"IIIZIZIIIII",
"IZIIIIIIIZI",
"IZIIIIIIIIZ",
"IZIIIIIZIII",
"IZIIIIZII... | [
0.0869047619047619,
0.0869047619047619,
0.17857142857142858,
0.06904761904761905,
0.05357142857142857,
0.0869047619047619,
0.08452380952380953,
0.14285714285714285,
0.14285714285714285,
0.1523809523809524,
0.05357142857142857,
0.12738095238095237,
0.1607142857142857,
0.03571428571428571,
... | 0.973524 | [
2.775789913355275,
0.02609348604461332,
2.331816518509612,
0.027069461609042972,
2.9685984419076505,
0.4200510284897052,
1.8067383793394596,
0.2455200470976041,
0.686634794022333,
0.12351271985054202,
1.809130656773487,
0.03315273450561519,
2.2912383895336164,
0.032036363735009205,
2.020... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -2.6357142857142866,
"target_ratio": 0.97,
"target_value": -2.556642857142858
} | 62 |
f222dfb2324275edf5e9240be57dcb14 | 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": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, ... | {"states": [101, 109], "expectation_value": -1.389536909642962, "params": [0.0023, 0.5532, 0.7604000000000001, 0.44210000000000005, 0.7953, 0.328, 0.8042, -0.4234, 0.7172000000000001, -0.3305, 0.798, -0.0082, 0.8075, 0.006500000000000001, 0.002, 0.6025, 0.8002, -0.00030000000000000003, 0.0023, 0.0088, 0.728100000000000... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(6)) + -0.125 * (Z(0) @ Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + 0.12... | 18 | 9 | 2 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.875, "smallest_bitstrings": ["110010010", "110100010", "101010010"], "largest_eigenvalue": 6.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.07648152232230113) q[0];
rz(0.9216052864556517) q[0];
rx(1.7238757987083333) q[1];
rz(0.5715058600387561) q[1];
rx(0.5367869467538573) q[2];
rz(0.022857746598916207) q[2];
rx(1.8244911597998281) q[3];
rz(-0.23271919603398716) q[3];
rx(-0.32748779038630377) 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": []} | [
"IIIIIIZZI",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IIIZIZIIZ",
"IIZIIZIIZ",
"IIZZIIIIZ",
"IIZZIZIII",
"IIZZIZIIZ",
"IIIIZIIZI",
"IIIZIIIZI",
"ZIIIIIIZI",
"IIIZZIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"IIIZZIIZI",
"ZIIIZIIZI",
"... | [
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,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.... | 0.970993 | [
-0.07648152232230113,
0.6285015174134017,
1.7238757987083333,
0.5715058600387561,
0.5367869467538573,
0.022857746598916207,
1.8244911597998281,
-0.23271919603398716,
-0.32748779038630377,
0.01580364509740706,
2.1030469978115702,
0.30694892068083535,
1.2562968153353444,
0.25420176798302757,... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 28 |
32d50d405d38e83e6c7f47307ed0b38a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 6}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 5, "source": 0, "target": 8}, {"capac... | {"states": [0, 1], "expectation_value": -21.07717805763593, "params": [[[-0.0903, -0.4307, 0.0028, 0.0077], [-0.005, 0.5147, 0.003, 0.38870000000000005], [-0.0026000000000000003, 1.3217, -0.0032, -0.4882], [-0.0027, -0.41490000000000005, -0.32280000000000003, 0.0033], [-0.0021000000000000003, 1.1962000000000002, -0.002... | -1.0 * (Z(0) @ Z(6)) + -1.5 * (Z(7) @ Z(0)) + -1.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(7)) + -0.75 * (Z(2) @ Z(7)) + -1.5 * (Z(2) @ Z(8)) + -1.5 * (Z(3) @ Z(7)) + -1.25 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(7)) + -1.5 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(2)) + -1.25 * (Z(1) @ Z(8)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(5) @ Z... | 11 | 10 | 4 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.32855655499469305) q[0];
rz(-0.6704629424629668) q[0];
ry(-0.058796683797237695) q[1];
rz(0.8429026611014208) q[1];
cx q[1], q[0];
ry(-0.07827464396839996) q[0];
rz(-0.18944759545098558) q[0];
ry(-0.09069817083843507) q[1];
rz(0.568921148174502) q[1];
ry(-0.07049... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IZZIIIIIII",
"IIZIIIIZII",
"IZIIIIIZII",
"IIZIIIZIII",
"IIIIIIZZII",
"IIZIIZIIII",
"IZIIIZIIII",
"IIIIIZIZII",
"IZIIIIIIZI",
"IIIIIIZIZI",
"IIIZZIIIII",
"IIIIZIIZII",
"ZIIZIIIIII",
"ZIIIIIIIIZ",
"IIIZIIIIII",
"IIIIIIIIIZ",
"IIZIIIIIII"... | [
-1,
-1.5,
-1.25,
-0.5,
-0.75,
-1.5,
-1.5,
-1.25,
-1.5,
-1.5,
-0.5,
-1.25,
-0.5,
-1.25,
-1.25,
-0.5,
4,
0.75,
-0.25,
-4.75,
-3.5,
2.75,
0.75,
2.5,
-1.75,
0,
3.5
] | 0.971423 | [
-0.32855655499469305,
-0.6704629424629668,
-0.058796683797237695,
0.8429026611014208,
-0.07049921444240503,
1.1293553365174211,
0.0036138488749070247,
-0.5497289663777212,
-0.0980908452189389,
0.9776347528217738,
0.09453422390130703,
-0.4511285971118597,
0.03580831130052094,
0.786522551055... | {
"n_parameters": 126,
"n_qubits": 10,
"optimal_eigenvalue": -27.5,
"target_ratio": 0.97,
"target_value": -26.675
} | 78 |
c342bef2de813f1345cbd4fd6b87e999 | 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": 7, "source": 0, "target": 1}, {"capacity": 7, "source": 0, "target": 2}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [27, 1], "expectation_value": -5.591878865683313, "params": [[-0.0787, -0.053500000000000006], [0.0779, 0.06520000000000001]], "bitstrings": ["11100100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.012863011079492535, 0.016639208607448688], "optimization_time": 3.0988900661468506} | -1.75 * (Z(0) @ Z(1)) + -3.25 * (Z(2) @ Z(1)) + -1.75 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(1)) + -1.75 * (Z(4) @ Z(0)) + 5.5 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(4)) + -1.75 * (Z(5) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -2.25 * Z(1) +... | 1 | 8 | 2 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0832683964858586) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.04333263113339251) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0832683964858586) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.3245076564815849) q[4];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIIIZ",
"ZIIIIIIZ",
"ZIIZIIII",
"IIZIIZII",
"IIIIZIZI",
"IIIZZIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-1.75,
-3.25,
-1.75,
-1.5,
-1.75,
5.5,
-1.5,
-1.75,
-1.75,
-1.75,
-0.25,
-1.5,
-1.5,
-2.25,
-0.25,
0.25,
-1.5,
4,
-2,
1.75,
0
] | 0.935817 | [
0.0832683964858586,
-0.04333263113339251,
0.3245076564815849,
-0.20576754096395392,
0.6312116206380989,
0.8048710908471846,
0.6712060563960475,
-0.6980052307749317,
0.7479323714829692,
0.8056059620735309,
1.0163843547714837,
1.6167287627922624,
0.18033812340052247,
-0.07046647749020202,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 500 |
52dd575f6b3baf37cbe77a1b25d4d01f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -17.89913762669465, "params": [0.0021000000000000003, 0.1832, 0.0051, 0.0034000000000000002, 0.0025, -0.4747, 0.0025, 0.009000000000000001, 0.8044, 0.0597, 0.7997000000000001, 0.0013000000000000002, 0.0025, -0.5933, 0.0025, 0.0085, 0.003, -0.5918, 0.0031000000000000003, 0.0027,... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -0.25 * (Z(10) @ Z(1)) + -1.0 * (Z(10) @ Z(0)) + 3.0 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(10)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(10)) + -0.75 * (Z(7) @ Z(10)) + -0.25 * (Z(7) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(... | 5 | 11 | 1 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.0010366139599990302) q[0];
rz(0.17299554829095776) q[0];
rx(0.010765513396717694) q[1];
rz(-0.5742690940089137) q[1];
rx(1.4280640887520941) q[2];
rz(0.38644664951705954) q[2];
rx(0.010765513396717694) q[3];
rz(-0.5574917078191923) q[3];
rx(0.0988303871437863) 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"ZIIIIIIIIZI",
"ZIIIIIIIIIZ",
"IIIIIIIIZIZ",
"ZIIIIIIIZII",
"IIIIIIZIIZI",
"IIIIIIZZIII",
"ZIIIIIZIIII",
"ZIIZIIIIIII",
"IIIZIIZIIII",
"IIIIIZIIIZI",
"ZIIIIZIIIII",
"IIIZIZIIIII",
"IIIIZIIZIII",
"ZIIIZIIIIII",
"IIIIZZIIIII",
"IIZZIIIII... | [
-1,
-1.5,
-0.75,
-0.25,
-1,
3,
-0.75,
-0.5,
-0.75,
-0.5,
-0.75,
-0.25,
-0.5,
-0.75,
-1,
-1,
-0.25,
-1.5,
-0.25,
-1.25,
-0.25,
-0.75,
-0.75,
-2.75,
-0.25,
-0.25,
0,
2.25,
0.5,
2,
0.25,
0.5,
-1,
-1.25
] | 0.978666 | [
-0.0010366139599990304,
0.08481599312903582,
0.010765513396717694,
-0.556260298584222,
1.4280640887520941,
0.021763812815253587,
-0.5050204408357789,
0.09883038714378628,
-0.3995705642195091,
0.06388929421609922,
-0.4858503858731281,
0.11544781148096178,
-0.6883952528049914,
-0.59943664468... | {
"n_parameters": 40,
"n_qubits": 11,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 11 |
d972279ded7f316374e6dacb276633a3 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, ... | {"states": [17, 127], "expectation_value": -0.4425737523063347, "params": [[-0.061900000000000004], [0.0603]], "bitstrings": ["11101110", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004889806846304788, 0.004923139657073766], "optimization_time": 2.2872769832611084} | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.75 * (Z(6) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.75, -8.75, -8.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.75, "smallest_bitstrings": ["10000000", "11000000", "11101110"], "largest_eigenvalue": 11.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.13442413146705395) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.07286226668025671) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1861896832309193) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(-0.07286226668025671) q[2];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZZIIII",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IZIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"ZIIIIIII"
] | [
-1,
-0.5,
-0.25,
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-1,
-1.75,
2,
-1.25,
-1,
-0.5,
-0.25,
1,
0.25,
0.25,
0.75,
-1.25,
-0.25
] | 0.670838 | [
0.13442413146705395,
-0.07286226668025671,
-0.1861896832309193,
0.1849566279514951,
2.809786825153633,
-1.1485726075418965,
0.38576139094804596,
-1.4038660711190325,
-1.540477952854178,
1.5029054381745803,
1.162846184501586
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 322 |
7371010807312947920 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 6], [2, 3], [0, 5], [1, 4, 5], [0, 1, 4, 6], [3, 4, 5, 6]]} | {"states": [85, 23], "expectation_value": -1.9836272316656451, "params": null, "bitstrings": ["0101010", "1101000"], "total_optimization_steps": 37, "probabilities": [0.0643702488296594, 0.8426979680105576], "optimization_time": 47.55109357833862} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["1101000"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.063366046153012) 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(0.063366046153012) q[6];
cx q[2], q[6];
cx q[0], q[6];
cx q[2], q[3];
rz(1.5219275947211173) q[3];
cx q[2], q[3];
rz(0.06336604615301189) ... | 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(1.3603) 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", "... | [
"IIIIZIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIIZZII",
"ZIIZIII",
"IZIIIIZ",
"ZZIIIII",
"IZIZIII",
"IIIIIZZ",
"ZIIIIZI",
"IZIIIZI",
"IIZIIIZ",
"ZIZIIII",
"IIZZIII",
"IZZIIII",
"IIZIIZI",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IZIIIII",
"IIIIIZI",
"IIZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.25,
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.25,
0.16666666666666663,
0.... | 0.738574 | [
0.063366046153012,
0.17638480591535988,
1.5219275947211173,
-0.05871367487151922,
0.030558875322946745,
1.4118113025788246,
-0.0755371454049692,
-0.8777140855298197
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -2.0833333333333335,
"target_ratio": 0.97,
"target_value": -2.0208333333333335
} | 191 |
a39b078c44de13c5ffa9960b27a9b57f | 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": [126, 118], "expectation_value": -71.36622034694297, "params": [[[0.6921, 0.38720000000000004], [0.4408, 0.5], [0.3637, 0.6408], [0.6961, 0.6244000000000001], [-0.038700000000000005, 0.49510000000000004], [0.5176000000000001, 0.3038], [-0.1148, 0.1744], [0.22710000000000002, 0.2237]], [[0.27240000000000003, ... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(4)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(6)) + 6.5 * (Z(3) @ Z(5)) + 2.5 * Z(0) + 9.0 * Z(1) + 14.0 * Z... | 15 | 8 | 4 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 215.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.1757152017233197) q[0];
ry(0.3598850557499599) q[1];
ry(0.15747141576251658) q[2];
ry(0.884133800342979) q[3];
ry(0.17264982791686215) q[4];
ry(0.5610932157528348) q[5];
ry(-0.07452765751311091) q[6];
ry(0.09417700634835782) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIZII",
"IZIIIIZI",
"IZIZIIII",
"IZIIIZII",
"IIZZIIII",
"IIZIIZII",
"IZZIIIII",
"IIIIZIIZ",
"IIIZZIII",
"IIIIZZII",
"IZIIZIII",
"IIZIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"IIIIZIII",
"ZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
2.5,
9,
14,
19.5,
27.5,
21.5,
28,
-9
] | 0.975419 | [
1.1757152017233197,
0.3598850557499599,
0.15747141576251658,
0.884133800342979,
0.17264982791686215,
0.5610932157528348,
-0.07452765751311091,
0.09417700634835782,
0.24710748251992695,
0.27053066179786156,
0.12890050320698743,
0.47698893402122544,
0.500732774982654,
0.1588374324310316,
-... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -91.5,
"target_ratio": 0.97,
"target_value": -88.755
} | 57 |
5539202201690248627 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 3, 5, 8, 9, 10, 12], [2, 5, 6, 7, 8, 10, 11, 12], [1, 5], [8, 4]]} | {"states": [474, 1498], "expectation_value": -1.0756147391171587, "params": [[[1.5342, 0.0039000000000000003], [0.47250000000000003, 0.004200000000000001], [1.5714000000000001, 0.0017000000000000001], [1.5451000000000001, 0.0035], [1.7147000000000001, 0.0], [2.5839000000000003, 0.0079], [2.5728, 0.0018000000000000002],... | 0.017857142857142856 * (Z(0) @ Z(5)) + 0.017857142857142856 * (Z(6) @ Z(5)) + 0.017857142857142856 * (Z(6) @ Z(0)) + 0.03571428571428571 * (Z(8) @ Z(5)) + 0.017857142857142856 * (Z(8) @ Z(0)) + 0.017857142857142856 * (Z(8) @ Z(6)) + 0.03571428571428571 * (Z(11) @ Z(5)) + 0.017857142857142856 * (Z(11) @ Z(0)) + 0.017857... | 1 | 13 | 1 | {"smallest_eigenvalues": [-1.3571428571428572, -1.3571428571428572, -1.3571428571428572, -1.3571428571428572, -1.3571428571428572, -1.3571428571428572, -1.3571428571428572, -1.3571428571428572, -1.3571428571428572, -1.3571428571428572, -1.3571428571428572, -1.3571428571428572, -1.3571428571428572, -1.3571428571428572, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(2.8205614519933184) q[0];
rz(-0.4111962702571804) q[0];
rx(0.03357037164500687) q[1];
rz(-0.26283227071846904) q[1];
rx(-0.025318725969448674) q[2];
rz(-0.2771341524125305) q[2];
rx(2.9722748590646955) q[3];
rz(-0.23922676564557033) q[3];
rx(1.243583718344915) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIIZ",
"IIIIIIZZIIIII",
"IIIIIIZIIIIIZ",
"IIIIZIIZIIIII",
"IIIIZIIIIIIIZ",
"IIIIZIZIIIIII",
"IZIIIIIZIIIII",
"IZIIIIIIIIIIZ",
"IZIIIIZIIIIII",
"IZIIZIIIIIIII",
"ZIIIIIIZIIIII",
"ZIIIIIIIIIIIZ",
"ZIIIIIZIIIIII",
"ZIIIZIIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIZIIZII",
"IIIIIIIIIIZ... | [
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.03571428571428571,
0.017857142857142856,
0.017857142857142856,
0.03571428571428571,
0.017857142857142856,
0.017857142857142856,
0.03571428571428571,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.01785... | 0.975459 | [
2.8205614519933184,
-0.4111962702571804,
0.03357037164500687,
-0.26283227071846904,
-0.025318725969448674,
-0.2771341524125305,
2.9722748590646955,
-0.23922676564557033,
1.243583718344915,
-0.048555805048928716,
3.162759782605037,
-0.5368333909734234,
2.9820600818319143,
-0.449743177834381... | {
"n_parameters": 26,
"n_qubits": 13,
"optimal_eigenvalue": -1.3571428571428572,
"target_ratio": 0.97,
"target_value": -1.3164285714285715
} | 36 |
1ed9ba04ea328fdad94a00f61e3a128c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 11}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 5, "source":... | {"states": [0, 2045], "expectation_value": -25.512617882670956, "params": [[[-0.0008, 0.7974], [-0.0585, -0.0054], [0.004200000000000001, 0.0028], [0.0048000000000000004, 0.0024000000000000002], [0.0014, 0.0021000000000000003], [0.0015, -0.0028], [0.0024000000000000002, 0.0021000000000000003], [0.0008, -0.0028], [0.002... | 0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.25 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -1.75 * (Z(6) @ Z(1)) + -1.25 * (Z(9) @ Z(4)) + -1.0 * (Z(9) @ Z(6)) + -0.25 * (Z(10) @ Z(4)) + -0.25 * (Z(10) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + -1.5 * (Z(7)... | 15 | 12 | 3 | {"smallest_eigenvalues": [-26.0, -26.0, -26.0, -26.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -25.0, "smallest_bitstrings": ["100000000000", "100000000110", "100000000100", "100000000010"], "largest_eigenvalue": 28.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.014365245870419395) q[0];
ry(-0.1801737237339883) q[1];
ry(0.010954167108101945) q[2];
ry(-0.022241248730258085) q[3];
ry(0.09732259254129802) q[4];
ry(0.09240028581349569) q[5];
ry(-0.021204099147915965) q[6];
ry(-0.11974456134840789) q[7];
ry(-0.149775005524760... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIZ",
"IIIIIIIZIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIZIIIZI",
"IIIIIZIZIIII",
"IIIIIZIIIIZI",
"IIZIIIIZIIII",
"IIZIIZIIIIII",
"IZIIIIIZIIII",
"IZIIIZIIIIII",
"IIIIZIIIZIII",
"IIIIZZIIIIII",
"IIZIZIIIIIII",
"IZIIZIIIIIII",
"IIIIIIIZIZII",
"IIZIIIIIIZII",
"IIIIZIIII... | [
0.25,
-0.5,
-0.5,
-0.75,
-1.25,
-1,
-1.75,
-1.25,
-1,
-0.25,
-0.25,
-1,
-1.25,
-1.5,
-1.5,
-0.5,
-1.25,
-1.25,
-1.25,
-0.5,
-1.5,
-1,
-0.75,
-0.75,
-1.25,
-1.5,
-3.25,
-0.25,
-0.5,
2,
0,
1.25,
-5,
-2,
1.25,
-0.5,
4.75,
2.25
] | 0.972221 | [
-0.014365245870419395,
-0.1801737237339883,
0.010954167108101945,
-0.022241248730258085,
0.09732259254129802,
0.09240028581349569,
-0.021204099147915965,
-0.11974456134840789,
-0.14977500552476075,
0.025261411010719742,
0.07997212320478807,
0.10185379856986486,
0.9042490287066014,
-0.15867... | {
"n_parameters": 50,
"n_qubits": 12,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 26 |
0615486ccb356b09654d7a8dd1e9f354 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -0.2786924681416792, "params": [[-0.0468], [0.0591]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.009410914513974243, 0.009555086527784626], "optimization_time": 1.8767383098602295} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1111110", "1111100"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.007324372560228134) q[0];
rz(-0.3217446099573232) q[0];
rx(-0.32112615429581043) q[1];
rz(0.2552145491671141) q[1];
rx(0.05797674138136179) q[2];
rz(-0.45678662559611716) q[2];
rx(0.05797674138136179) q[3];
rz(-0.1372770562752476) q[3];
rx(-0.17000396403266071) 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIIZZI",
"IIZIZII",
"IIIZIZI",
"IIZZIII",
"IIIZZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-0.75,
-1,
-0.75,
-0.75,
-0.25,
-1.5,
-0.75,
-1.25,
-0.25,
1.75,
-0.5,
-0.75,
-0.25,
-0.25,
0.5,
-0.75,
-1,
1,
0.75
] | 0.97204 | [
-0.007324372560228134,
-0.3217446099573232,
-0.32112615429581043,
0.2552145491671141,
0.05797674138136179,
-0.45678662559611716,
-0.1372770562752476,
-0.17000396403266071,
1.27681703400942,
0.03300015164953574,
2.905576028200642,
-0.0747657468147398
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 8 |
fe37a95fb62cde91e69aee116b6773bd | 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": 2, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "tar... | {"states": [237, 236], "expectation_value": -11.96603950407199, "params": [[0.0424], [-0.0796]], "bitstrings": ["100010010", "100010011"], "total_optimization_steps": 10, "probabilities": [0.004315651357412439, 0.005211639812823789], "optimization_time": 4.236623048782349} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 165.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.036805554208728865) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.036805554208728865) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.036805554208728865) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.036805554208728865) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
21.5,
5.5,
14.5,
10,
11.5,
19.5,
16,
1,
-1.5
] | 0.980584 | [
-0.036805554208728865,
1.5653143209845872,
-1.520759303138704,
1.6043065486405803,
1.6061779043506268,
-0.9411390712476695,
1.5451499827051354,
1.6462955105064652,
-1.6219264994733438,
-1.3909117298929286,
-1.5458587504655341
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 43 |
8826185983395437449 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[3, 4, 7], [3, 5], [8, 6], [8, 1, 10, 7], [0, 1, 3, 7, 9, 10], [0, 1, 2, 5, 9, 10], [0, 4, 5, 7, 8], [3, 2, 10, 7], [8, 0, 2, 4], [1, 2, 3, 4, 8, 10], [0, 2, 6, 7]]} | {"states": [1422, 1934], "expectation_value": -2.898026790744416, "params": [[[3.1442, 0.006900000000000001], [1.6563, 0.0099], [3.1446, 0.0022], [3.1446, 0.0077], [0.6316, 0.003], [-0.002, 0.005200000000000001], [0.0019, 0.0074], [3.1446, 0.0081], [3.1441000000000003, 0.0043], [3.1446, 0.0038], [0.5840000000000001, 0.... | 0.19999999999999998 * (Z(3) @ Z(4)) + 0.21666666666666667 * (Z(7) @ Z(4)) + 0.2833333333333333 * (Z(7) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.03333333333333333 * (Z(8) @ Z(3)) + 0.13333333333333333 * (Z(8) @ Z(7)) + 0.05 * (Z(8) @ Z(5)) + 0.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-3.099999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0333333333333337, "smallest_bitstrings": ["00001110001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(3.191983486666899) q[0];
rz(0.05160682333679713) q[0];
rx(2.229057114289737) q[1];
rz(0.06270692980798658) q[1];
rx(3.032755704329131) q[2];
rz(0.12185180253654077) q[2];
rx(3.032755704329131) q[3];
rz(-0.18413827508551867) q[3];
rx(0.27777896924967604) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZIII",
"IIIZIIZIIII",
"IIIZIIIZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIZIZIIIII",
"IIZIIIZIIII",
"IIZIIIIZIII",
"IIZZIIIIIII",
"IIZIIZIIIII",
"IIIZZIIIIII",
"IIZIZIIIIII",
"IIIIIIZIIZI",
"IIIIIIIZIZI",
"IIIZIIIIIZI",
"IIIIIZIIIZI",
"IIZIIIIIIZI",
"ZIIIIIZIIII",
"ZIIIIIIZI... | [
0.19999999999999998,
0.21666666666666667,
0.2833333333333333,
0.05,
0.5,
0.05,
0.16666666666666666,
0.03333333333333333,
0.13333333333333333,
0.05,
0.08333333333333333,
0.5,
0.03333333333333333,
0.06666666666666667,
0.11666666666666667,
0.03333333333333333,
0.11666666666666667,
0.0... | 0.974989 | [
3.191983486666899,
0.05160682333679713,
2.229057114289737,
0.06270692980798658,
3.032755704329131,
0.12185180253654077,
-0.18413827508551867,
0.27777896924967604,
-0.035161588636236446,
0.0008691282878129872,
-0.14996318105942386,
-0.07036108918168764,
0.1899501270572831,
0.270358360218355... | {
"n_parameters": 19,
"n_qubits": 11,
"optimal_eigenvalue": -3.099999999999999,
"target_ratio": 0.97,
"target_value": -3.0069999999999992
} | 8 |
839ce7a9ccbbc86e736e03fe391c618a | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6},... | {"states": [527, 15], "expectation_value": -21.401702130834114, "params": null, "bitstrings": ["10111110000", "11111110000"], "total_optimization_steps": 100, "probabilities": [0.2036253028578375, 0.27146240642452474], "optimization_time": 296.2440929412842} | -3.0 * (Z(0) @ Z(1)) + 1.5 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -3.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -4.0 * (Z(2) @ Z(5)) + -3.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -3.0 * (Z(6) @ Z(2)) + 1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(5)) + -3.0 * (Z(3) @ Z(2)) + -3.0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-37.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.5, "smallest_bitstrings": ["11111110000"], "largest_eigenvalue": 39.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
rz(-pi) q[1];
ry(-0.02710296446946218) q[1];
rz(-pi) q[2];
ry(-0.000914288489133316) q[2];
cx q[0], q[2];
ry(0.004955561058340415) q[2];
cx q[0], q[2];
ry(-0.0036865224584566444) q[2];
rz(-pi) q[3];
ry(-0.013134915919238791) q[3];
cx q[0], q[3];
ry(0.0068266845... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(-1.5709) 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] = m... | [
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIIZZIIIII",
"IIIIZIIIZII",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIZIZIII",
"IIIIIIIZZII",
"IIIIZIIZIII",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIIZIZII",
"IIIIIIZZI... | [
-3,
1.5,
-3.5,
-3.5,
1,
-4,
-3,
0.5,
1,
-3,
1.5,
0.5,
-3.5,
-3,
-3,
0.5,
-3,
0.5,
0.5,
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0.5,
-2,
0.5,
-1.5,
-3,
1.5,
-3,
-2.5,
2,
-2.5,
1,
0.5,
0.5,
0.5,
0.5
] | 0.966798 | [
-1.5944719568106718,
-1.5667550542256894,
-0.00991112211668083,
-0.7858169737671938,
-1.5771045581231067,
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-0.007373044916913289,
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0.006357273640025012,
-0.003188883362797136,
0.01060850359800472,
-1.9404498670312713,
-0.00851... | {
"n_parameters": 83,
"n_qubits": 11,
"optimal_eigenvalue": -37.5,
"target_ratio": 0.97,
"target_value": -36.375
} | 500 |
dba6edf645eaaf1a507a17055e7164ef | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [855, 853], "expectation_value": -1.2600053939232023, "params": [0.9989, 0.9974000000000001, 1.0011, 1.0061, 0.7619, 0.7665000000000001, 0.9931000000000001, 0.9884000000000001, 0.3607, 0.36150000000000004, 1.0083, 1.0083, 0.0994, 0.0952, 0.9957, 0.9991000000000001, 0.7696000000000001, 0.7719, 0.9944000000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 13 | 10 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.25, "smallest_bitstrings": ["1010001001", "0100110100", "0010011001", "0001101100", "0011101000", "010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.1859007606528923) q[0];
rz(0.1277309969404848) q[0];
ry(0.6373581281621916) q[1];
rz(0.40391422363380924) q[1];
cx q[1], q[0];
ry(-0.3494780626691644) q[0];
rz(0.23269403163719315) q[0];
ry(0.4001222395678607) q[1];
rz(-0.2582472936170673) q[1];
ry(-0.025818624057... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZZIIIZ",
"IIIZIIIIZI",
"IIZZIIIIII",
"IIZIIIIZII",
"IZIIIIIZII",
"IZZIIIIIII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
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,
0.12... | 0.974622 | [
0.1859007606528923,
0.1277309969404848,
0.6373581281621916,
0.40391422363380924,
-0.025818624057445873,
-1.2207959965169293,
-0.01719509851365882,
0.6672042623739143,
0.3535564440001057,
-0.14448587096729418,
-0.14265470491067128,
0.11653979094772494,
-0.26099188668928275,
0.50058431121305... | {
"n_parameters": 107,
"n_qubits": 10,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 118 |
cc282aa6420cd18a4c9a3c3d0b07ee00 | 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": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.24866024430794573, "params": [[0.2763], [-0.28150000000000003]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 30, "probabilities": [3.924124222309132e-05, 3.9241242223091336e-05], "optimization_time": 16.411456823349} | 0.25 * (Z(0) @ Z(1)) + -0.0006656804733727812 * (Z(2) @ Z(0)) + -0.0006656804733727812 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00029585798816568053 * (Z(4) @ Z(0)) + -0.0003698224852071006 * (Z(4) @ Z(2)) + 0.00029585798816568053 * (Z(5) @ Z(1)) + -0.0003698224852071006 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0167159763312688], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.016715976331264, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.014201183431901} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.6052194452521296) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.027711873500097198) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.027711873500097198) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.6052194452521296) q[3];
cx q[2], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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,
-0.0006656804733727812,
-0.0006656804733727812,
0.25,
0.00029585798816568053,
-0.0003698224852071006,
0.00029585798816568053,
-0.0003698224852071006,
0.25,
-0.0007396449704142012,
-0.0005177514792899408,
-0.0005177514792899408,
-0.0007396449704142012,
-0.0005177514792899408,
-0.000... | 0.972219 | [
1.6052194452521296,
-0.027711873500097198,
-0.015699943205139018,
0.06756554482838503,
-0.036454210043621905,
-0.06724172478865302,
-0.16591237556788868,
-0.052160734063333596,
-0.7221600486714169
] | {
"n_parameters": 9,
"n_qubits": 16,
"optimal_eigenvalue": -2.0167159763312688,
"target_ratio": 0.97,
"target_value": -1.9562144970413307
} | 24 |
b0781d2a7698d63ad5627ee31af2626b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [96, 100], "expectation_value": -6.013337676598672, "params": [0.0004, -0.2257, 0.0048000000000000004, -0.2338, 0.5031, -0.10980000000000001, 0.496, -0.085, 0.5031, -0.015300000000000001, 0.49860000000000004, -0.023200000000000002, 0.0029000000000000002, 0.2805, -0.0049, 0.2766, 0.2233, 0.3219, 0.1383, 0.321... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) ... | 5 | 8 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["10011011", "11010011"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.0018411102749637878) q[0];
rz(-0.2913394671489602) q[0];
rx(0.9082484024243718) q[1];
rz(0.037794930654828196) q[1];
rx(0.9082484024243715) q[2];
rz(-0.06929438372767738) q[2];
rx(0.04916603476184296) q[3];
rz(0.6409090925612415) q[3];
rx(0.1099601280827831) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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",
"IIZIIIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IIIZIIZI",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZIZI",
"ZIIZIIII",
"ZIZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIZII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-2,
-1.5,
-2,
-1,
-2,
-1.5
] | 0.970832 | [
-0.0018411102749637878,
-0.06387897543962608,
0.9082484024243717,
-0.1873728833233766,
-0.011042101624286298,
0.04916603476184296,
0.6474199364230686,
0.1099601280827831,
0.3107104305957481,
0.7051453352057985,
0.05359677846684344,
0.09155280853698433,
0.00788102690820526,
0.11816410220764... | {
"n_parameters": 77,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 9 |
1989c6e4d9ee1fe8169501c304dfc362 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2},... | {"states": [0, 2047], "expectation_value": -48.69395870093498, "params": [[[0.0022, 1.6141], [0.0028, 0.0022], [0.0034000000000000002, -0.003], [0.002, 0.0026000000000000003], [0.0022, 0.0021000000000000003], [-0.0032, 0.0026000000000000003], [0.0017000000000000001, 0.0025], [0.002, 0.002], [0.0029000000000000002, 0.00... | -3.5 * (Z(0) @ Z(4)) + 1.0 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(0)) + -3.5 * (Z(8) @ Z(4)) + -3.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) @ Z(6)) + -3.5 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + -3.0 * (Z(1) @ Z(8)) + 2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + -3.5 * (Z(7) @ Z(8)) + -3.0 ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-53.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.0, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 39.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.022071787931286432) q[0];
ry(-0.11463606847809263) q[1];
ry(-0.17038576474827255) q[2];
ry(-0.09523247077132065) q[3];
ry(-0.022071787931286432) q[4];
ry(-0.08200573377987633) q[5];
ry(0.03707414663274505) q[6];
ry(-0.09523247077132065) q[7];
ry(0.009918685979801... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIZIZIIII",
"IIIIZIIIIIZ",
"IIZIIIZIIII",
"IIZIIIIIIIZ",
"IIZIZIIIIII",
"IIIIIIZIIZI",
"IIIIIIIIIZZ",
"IIIIZIIIIZI",
"IIZIIIIIIZI",
"IIIZIIZIIII",
"IIIZIIIIIIZ",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIIZIIIIIZI",
"IZIIIIZIIII",
"IZIIIIIIIIZ",
"IZIIZIIIIII",
"IZZIIIIII... | [
-3.5,
1,
-2.5,
-3.5,
-3.5,
1,
-3.5,
1,
0.5,
-3,
2,
0.5,
0.5,
-3.5,
-3,
-4,
1.5,
-4,
-4,
-3.5,
-3.5,
-3.5,
0.5,
0.5,
1.5,
1.5,
-3,
-3.5,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1
] | 0.976738 | [
-0.022071787931286432,
-0.11463606847809263,
-0.17038576474827255,
-0.09523247077132065,
-0.08200573377987633,
0.03707414663274505,
0.009918685979801584,
0.11411986989759491,
0.013327190647821216,
2.7145469632575776,
-0.10962011498182797,
0.018001633962292565,
0.09964715445532349,
-0.12460... | {
"n_parameters": 16,
"n_qubits": 11,
"optimal_eigenvalue": -53,
"target_ratio": 0.97,
"target_value": -51.41
} | 22 |
9e72b7dd0d69a46b7f007aaed5517323 | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [19, 22], "expectation_value": -0.07651038133171997, "params": [[-0.052000000000000005], [0.062400000000000004]], "bitstrings": ["101100", "101001"], "total_optimization_steps": 10, "probabilities": [0.01664005825184235, 0.016640058251842352], "optimization_time": 1.000580072402954} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["011100", "011001", "101001", "101100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(x0) q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIZZII",
"ZIIZII",
"ZIZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
-0.5,
-0.5,
0
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
db7bdfb6ee94a36848a9fd983ceba634 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, ... | {"states": [0, 65], "expectation_value": -14.93021660738582, "params": null, "bitstrings": ["11111111", "10111110"], "total_optimization_steps": 44, "probabilities": [0.07856829134064691, 0.7428742592901634], "optimization_time": 41.79625105857849} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.25 * Z(7) + 1.5 * Z(1) + 0.0 * Z(4) + -1.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["10111110"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14039623119325925) q[0];
rz(0.5275495493461682) q[0];
rx(1.320633293684479) q[1];
rz(-0.37084208291648135) q[1];
rx(0.10075084016578803) q[2];
rz(0.0887312811211598) q[2];
rx(0.07445349494960915) q[3];
rz(0.4716776547025745) q[3];
rx(0.0012203990205976458) q[4];
rz... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[7], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZIZII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1.5,
-1,
-1,
2.75,
-1.5,
-1.75,
-0.75,
-1.25,
-0.5,
-0.25,
0,
-0.25,
-0.75,
1.25,
1.5,
0,
-1.5,
-0.25
] | 0.971311 | [
0.14039623119325925,
0.5697069044918339,
1.320633293684479,
0.002656640722524764,
0.10075084016578803,
0.2745350143407175,
0.07445349494960915,
0.21127976559546266,
0.0012203990205976456,
-0.2957591951349129,
0.8364192648053017,
0.179559348742313,
0.6253163906217188,
1.5230369812904816,
... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 14 |
d3d971aba99e7d9c3b11c0d94abf1c8b | 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": [567, 535], "expectation_value": -49.73231632614998, "params": [1.2027, 1.2016, 0.17950000000000002, 0.08020000000000001, 0.5658000000000001, 0.5344, 0.021500000000000002, -0.0584, 0.779, 0.6544, 1.1983000000000001, 1.1983000000000001, 0.5457000000000001, 0.5077, 1.2009, 1.2014, 1.204, 1.2037, 1.1939, 1.195,... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(5)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(2) @ Z(7)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(8) @ Z(2)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * Z(0) + -2.5 * Z(1) + 9.0 * Z(5) + -3.5 * Z(3) + 5.0 * Z(4) + 1.0 * Z(6) + 12.5 * Z(7) + 2.5 * Z(2) + 9.0 * Z(8) + 2.... | 14 | 10 | 1 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["0111101000"], "largest_eigenvalue": 100.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.4459483725865228) q[0];
rz(pi/2) q[0];
ry(-0.1520522786731793) q[1];
ry(0.11328115728380901) q[2];
ry(0.15074886324882375) q[3];
ry(0.19321124269440929) q[4];
ry(1.592859403192003) q[5];
ry(0.009586417935386837) q[6];
ry(1.5983045234568518) q[7];
ry(1.506912010672... | OPENQASM 3.0;
include "stdgates.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]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIIIZ",
"IIZZIIIIII",
"IIZIIIIZII",
"IZZIIIIIII",
"IZIIIIIZII",
"ZIIIIZIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIZIIIII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IIIIIIIZII",
"IZIIIIIIII",
"ZIIIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
-2.5,
9,
-3.5,
5,
1,
12.5,
2.5,
9,
2
] | 0.975606 | [
1.4459483725865228,
-0.1520522786731793,
0.11328115728380901,
0.15074886324882375,
0.19321124269440929,
1.592859403192003,
0.009586417935386837,
1.5983045234568518,
1.5069120106727234,
1.231992133466672,
1.327192847037443,
0.9502542580633276,
-0.009769005066389495,
1.4143792593294404,
-0... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -82,
"target_ratio": 0.97,
"target_value": -79.53999999999999
} | 16 |
5bfd79024282ae69c62758a244a2de56 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [56, 7], "expectation_value": -1.113904259859785, "params": [[0.0029000000000000002, -0.053700000000000005], [-0.046, 0.0541]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.01819487715345212, 0.018383296484158883], "optimization_time": 2.9966518878936768} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 1.75 * (Z(5) @ Z(3)) + 1.75 * ... | 16 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
1.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.75
] | 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 |
bfcc016c6d32554855d911056b5152b6 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [9, 1], "expectation_value": -18.358112019780762, "params": null, "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 58, "probabilities": [0.093312461517512, 0.6817468038862153], "optimization_time": 77.04561805725098} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(6)) + 4.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 25.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.3752757109842413) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.415074937944226) q[5];
ry(-0.43331589186150515) q[6];
rz(-pi) q[6];
h q[7];
ry(1.58887715244145) q[7];
cx q[7], q[6];
ry(0.05190789413979533) q[6];
cx q[7], q[6];
cx q[7], q[0];
ry... | 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(-0.4397) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZZIIIII",
"IIIIZZII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIIIIZII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIII... | [
-0.5,
-0.75,
-1.5,
-1,
-1,
-0.5,
-1,
-1,
-0.25,
-0.5,
-0.5,
-1.5,
4.25,
-1,
-1.75,
-0.75,
1.75,
-0.25,
0,
-1.5,
-5,
-0.25,
3.25,
2
] | 0.971231 | [
-1.085572540793596,
1.58887715244145,
-0.9373400288341168,
-0.10381578827959066,
-0.5163611739530768,
-0.36661780541500905,
-1.415074937944226,
-0.18803730139083544,
-0.3358265592031672,
0.0757377937923358,
-1.7289304795650944,
-1.550591774428836,
-1.498222114092371,
0.04077677087104195,
... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 19 |
b7602418da2fb1da8d0e3bf56e052253 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [46, 39], "expectation_value": -5.4998990634603295, "params": null, "bitstrings": ["1010001", "1011000"], "total_optimization_steps": 35, "probabilities": [1.6414459407698138e-05, 0.9999303761362124], "optimization_time": 33.37842607498169} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5) + -1.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.19413541781266302) q[0];
rz(0.4737143075248884) q[0];
rx(1.3481450265531563) q[1];
rz(0.7101312274980032) q[1];
rx(0.08114689032242231) q[2];
rz(0.39298482269195745) q[2];
rx(0.05382342065610063) q[3];
rz(-0.4688239600116697) q[3];
rx(1.4947674538218447) q[4];
rz(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IZIZIII",
"IIIIZZI",
"IIZIZII",
"IZIIZII",
"ZIIZIII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
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,
-0.5,
-1,
-1.5,
-0.5
] | 0.970244 | [
-0.19413541781266297,
0.4032852255685598,
1.3481450265531563,
0.35847725960509413,
0.08114689032242232,
0.23884228912775574,
0.05382342065610062,
-0.3631398892310509,
1.4947674538218447,
0.14683342555344495,
1.7859017636948948,
0.04798825882582202,
1.7853225188419513,
0.28173152310392174,
... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 21 |
d94808e5cc9b60725b159cb308a4d8c1 | min_cut | 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": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [1, 29], "expectation_value": -6.899213659707339, "params": [0.005200000000000001, 2.2884, 0.2066, -1.5242, 0.6895, 1.2211, -1.1303, 0.9368000000000001, -0.0011, 0.8906000000000001, 1.57, 0.0019, -0.0038, -0.5661, 0.0159, -2.2482, 0.032, 1.6166, -1.0167000000000002, -0.1801, 0.0007, 2.0142, 1.575500000000000... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(3) + -1.5 * Z(4) + 0.5 * Z(5) + -1.25 * Z(2) | 4 | 6 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["100010", "101010"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.3973990978795459) q[0];
h q[1];
ry(0.7210581234742061) q[1];
h q[2];
h q[3];
ry(1.508145619070655) q[3];
cx q[3], q[1];
ry(-0.7210581234742061) q[1];
cx q[3], q[1];
h q[4];
ry(-1.402367103280393) q[4];
h q[5];
cx q[5], q[0];
ry(0.3973990978795459) q[0];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
-0.75,
-1,
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
1.75,
-1,
-1.25,
1.25,
-0.25,
1.25,
-1.5,
0.5,
-1.25
] | 0.973609 | [
-1.402367103280393,
-0.7947981957590918,
1.226614773855988,
1.508145619070655,
1.4421162469484121,
-0.23582571520858747,
0.17368093824506411,
-0.2690797596273954,
0.1449349374403027,
-0.4615274142083343,
-0.04054061261302525,
-0.4541789105974401
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 11 |
87ba346715d7ffd469182fcb7e9830c2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [1, 17], "expectation_value": -14.005285497939969, "params": [[[-0.0029000000000000002, 0.0082], [0.0024000000000000002, 0.008400000000000001], [1.6391, 0.0098], [0.0025, 0.0098], [0.0024000000000000002, 0.0074], [0.0027, 0.0028], [2.8006, 0.003]]], "bitstrings": ["1111110", "1101110"], "total_optimization_s... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.75 * Z(1) + -0.25 * Z(0) + 4.0 * Z(2) + 1.75 * Z(4) + 0.5 * Z(6) + -1.75 * Z(3) + -1... | 1 | 7 | 1 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["1101100", "1101110"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2424713024680878) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.09609449461972433) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.07103718221836942) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.2424713024680878) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIZZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-1,
-1.25,
-0.5,
-1,
-0.5,
2.25,
-1.75,
-2.5,
-1.75,
-1.5,
-2.75,
-0.25,
4,
1.75,
0.5,
-1.75,
-1.5
] | 0.970277 | [
-0.2424713024680878,
-0.09609449461972433,
-0.07103718221836942,
0.24484176276753844,
-0.5846079027452293,
-0.03545717743987341,
-0.13831910799219202,
-0.24427600165074528,
-0.4294993140104167,
0.03986173338969032,
-0.32853968363508496,
0.40842551468782123,
-0.9636115791438007,
0.066113856... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 83 |
9c3f86affe867d86b1a933450f0ead98 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [9, 1], "expectation_value": -8.538367853415835, "params": [[-0.0114, 0.052700000000000004], [0.006900000000000001, -0.0644]], "bitstrings": ["110110", "111110"], "total_optimization_steps": 10, "probabilities": [0.02112148319032086, 0.02131235899741269], "optimization_time": 3.0162770748138428} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 18 | 6 | 2 | {"smallest_eigenvalues": [-40.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.25, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 119.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08159444532943627) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08159444532943627) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.08159444532943627) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.08159444532943627) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
-13,
-13,
-13.25,
-13,
-13,
-12.25
] | 0.972546 | [
0.08159444532943627,
0.316411072313747,
1.4274685730664627,
1.5697177918156073,
0.6556767612910719,
0.5389446975291273,
-0.02784567768025009,
-0.5301187784688065,
0.4226894690015448,
0.20765044488818968,
-0.5369605142119381,
0.8276321080557579,
-0.20067121769985835,
0.021804244236934816,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -40.25,
"target_ratio": 0.97,
"target_value": -39.0425
} | 59 |
cd09c9fc0c45a235ddacffa85d40c411 | 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": 0, "target": 3}, {"source": 0, "target": 4},... | {"states": [0, 7], "expectation_value": -60.89214736853323, "params": [-0.0025, 0.0132, 0.0025, 0.012400000000000001, -0.0025, 0.0012000000000000001, -0.0024000000000000002, 0.0074, -0.0025, 0.006, -0.0025, 0.021, -0.0025, 0.012400000000000001, -0.0028, 0.9286000000000001, -0.0018000000000000002, -0.5992000000000001, -... | -4.0 * (Z(0) @ Z(1)) + -4.5 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + -4.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + -4.0 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(2)) + -3.5 * (Z(5) @ Z(3)) + -3.5 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.... | 4 | 11 | 1 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["11111111000"], "largest_eigenvalue": 47.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3959092347754542) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.3617378298419435) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3959092347754542) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.3959092347754542) q[3];
cx q[1], 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[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZIIZII",
"IIIIIZIZIII",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIIZIIIZII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIIIZII",
"IIIZIIIZI... | [
-4,
-4.5,
-4,
-4,
2,
-3.5,
2,
-4,
-3.5,
-3.5,
-3.5,
-3.5,
1.5,
1,
1,
-4,
1,
1,
0.5,
0.5,
-3,
1,
1,
-4,
1,
-3.5,
0.5,
-3,
-1.5,
0.5,
-1.5,
-3.5,
-3,
-3.5,
-3,
-3.5,
-3.5,
1.5,
1.5,
0.5,
0.5,
0.5
] | 0.485383 | [
0.3959092347754542,
0.3617378298419435,
0.2495555571669285,
0.5497148081444604,
0.18532131761863854,
0.2294826956475107,
0.26699189785699434,
0.6938540917762349,
1.119061573304744,
1.09786925716313
] | {
"n_parameters": 10,
"n_qubits": 11,
"optimal_eigenvalue": -62.5,
"target_ratio": 0.97,
"target_value": -60.625
} | 240 |
c5d2a0621e9dcecb65eadc5509d4551e | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [1916, 4092], "expectation_value": -13.922071831424036, "params": null, "bitstrings": ["1100010000011", "1000000000011"], "total_optimization_steps": 100, "probabilities": [0.17890926772252125, 0.6993291558722765], "optimization_time": 516.5356845855713} | -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(7)) + -0.5... | 1 | 13 | 1 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -13.0, "smallest_bitstrings": ["1100110100001", "1100001000101", "1000100100001", "1100110010001", "1100101010001", "1000100010001", "1100010000011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.08743649769424137) q[0];
rz(-1.4403708797533135) q[0];
rx(0.09393894887712548) q[1];
rz(0.5913182157078832) q[1];
rx(1.4078405758086183) q[2];
rz(0.1407318460299953) q[2];
rx(1.590037714848199) q[3];
rz(0.10840208344072243) q[3];
rx(0.18964145807910252) q[4];
rz(... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(-1.5577) q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = me... | [
"IIIIIIIZIIIZI",
"IIIIIIZIIIIZI",
"IIIIIIZZIIIII",
"IIIIIIIIIIZZI",
"IIIIIIIZIIZII",
"IIIIIIZIIIZII",
"IIIIIIIIIZIZI",
"IIIIIIIZIZIII",
"IIIIIIZIIZIII",
"IIIIIIIIIZZII",
"IIIIIZIIIIIZI",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIIZIIII",
"IIIIZIIIIIIZI",
"IIIIZIIZIIIII",
"IIIIZIZIIII... | [
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
1,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,... | 0.97291 | [
-0.0874364976942414,
-0.7782836179307168,
0.09393894887712548,
0.5913182157078832,
1.4078405758086183,
0.1407318460299953,
1.590037714848199,
0.10840208344072243,
0.18964145807910252,
0.07730924175294455,
-0.0250481159919958,
0.7670952990780986,
1.5475571454171502,
0.28663197303578225,
0... | {
"n_parameters": 70,
"n_qubits": 13,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 10 |
6183542129053991521 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 0, 4, 6], [8, 1, 3, 4], [0, 1], [1, 6], [8, 5, 7], [0, 3, 4, 7], [2, 3, 5, 6, 7], [1, 2, 4, 7]]} | {"states": [375, 359], "expectation_value": -2.128537852642049, "params": [1.5899, 0.0984, 1.5626, 0.0049, 0.1893, 0.7876000000000001, 0.18810000000000002, 0.0039000000000000003, 1.5882, 0.13140000000000002, 1.5359, 0.007200000000000001, 1.5924, -0.0025, 1.1769, 0.002, 1.2266000000000001, 0.4506, 0.9870000000000001, 0.... | 0.08333333333333333 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(... | 5 | 9 | 1 | {"smallest_eigenvalues": [-2.366666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2, "smallest_bitstrings": ["010011000"], "largest_eigenvalue": 6.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0], q[8];
rz(0.05276729205864438) q[8];
cx q[0], q[8];
cx q[0], q[4];
rz(-0.08782458735632077) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(0.05276729205864438) q[6];
cx q[0], q[6];
cx q[0], 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": []} | [
"ZIIIIIIIZ",
"IIIIZIIIZ",
"ZIIIZIIII",
"IIZIIIIIZ",
"ZIZIIIIII",
"IIZIZIIII",
"IIIIIIIZZ",
"ZIIIIIIZI",
"IIIIZIIZI",
"IIZIIIIZI",
"IIIIIZIIZ",
"ZIIIIZIII",
"IIIIZZIII",
"IIZIIZIII",
"IIIIIZIZI",
"ZIIZIIIII",
"IIZZIIIII",
"IIIZIZIII",
"IZIIIIIIZ",
"ZZIIIIIII",
"IZIIZIIII",
"... | [
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.5,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.05,
0.08333333333333333,
0.1666666666666666... | 0.670773 | [
0.05276729205864438,
-0.08782458735632077,
-1.0210312461547664,
-0.02122583656891997,
-0.11713769141427999,
-1.2056593815008416,
0.15858739064792032,
-1.5322089620811465,
-0.612246990414889,
-1.4736538255672342,
0.7314295992447162,
-0.8609390782037788,
0.9283338421032177
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -2.366666666666667,
"target_ratio": 0.97,
"target_value": -2.295666666666667
} | 297 |
31bcee1b066a63f64c6901bb1e1b69cb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 35], "expectation_value": -0.10478461180710133, "params": [[0.0721], [-0.07440000000000001]], "bitstrings": ["100011", "011100"], "total_optimization_steps": 10, "probabilities": [0.017636891382484695, 0.017661702389387263], "optimization_time": 0.9930031299591064} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["100011", "101010", "011100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.8134308690563022) q[0];
rz(-0.004340210929724364) q[0];
rx(-0.04386525431228497) q[1];
rz(1.1021752077143088) q[1];
rx(-0.013238833040450147) q[2];
rz(-1.192074686665066) q[2];
rx(1.521660208972273) q[3];
rz(-0.5183062345743958) q[3];
rx(-0.07804897496144539) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZZIII",
"IZIZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
0
] | 0.981324 | [
-0.8134308690563021,
0.02233676954795123,
-0.04386525431228497,
0.6629278156883924,
-0.013238833040450145,
-0.8015821085417717,
1.521660208972273,
-0.03357304081524819,
-0.0780489749614454,
1.036539672959953,
1.1636048445698097,
0.011763346432697531,
0.06040645557731586,
-0.969466387518295... | {
"n_parameters": 47,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 6 |
e7056fbb187e68baa5d05b0b9cb6a901 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 2}, {"weight": 11, "source": 1, "target": 3}, {"weight": ... | {"states": [174, 122], "expectation_value": -9.606838652259437, "params": [[0.045200000000000004], [-0.0608]], "bitstrings": ["01010001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006798377581057306, 0.0074121155878614465], "optimization_time": 2.290818214416504} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 166.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.3483964545021323) q[0];
h q[1];
ry(1.3483964545021323) q[1];
h q[2];
ry(-1.5377717834128013) q[2];
h q[3];
ry(-0.5718354355912505) q[3];
ry(-0.060597795734454125) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[3];
ry(0.5718354355912505) q[3];
cx q[5], q[3];
ry(-0.5... | 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[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];
r... | {"matching": "maximum", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
15.5,
12,
23.5,
12.5,
16.5,
9.5,
16.5,
0.5
] | 0.996817 | [
-1.5377717834128013,
-1.4355349010589802,
1.3483964545021323,
-1.143670871182501,
0.7256483222204215,
-0.3397090750168832,
0.4854071333661133,
-0.3806094686092039,
0.2510875381992757,
-0.09032787450619814,
0.08059260300373108,
0.19771184529814245,
-0.14932726000292476,
-0.10015168483220893... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
0aa0b4969a52500c2fcc8190adfe857e | 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": [331, 333], "expectation_value": -103.5261206131689, "params": [[[1.5728, 1.5728], [-1.5679, 1.5727], [1.5728, 1.5738], [1.5730000000000002, 1.5727], [1.5727, 1.5738], [1.5739, 1.5723], [1.5738, -0.36010000000000003], [1.5730000000000002, 1.5742], [1.5739, -0.0158], [1.5731000000000002, -0.8586], [1.5729, 1.... | 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(7) @ Z(3)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(10) @ Z(5)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(8) @ Z(10)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(9) @ Z(8)) + 15.0 * Z(2) + 2.0 * Z(0) + 3.5 * Z(3) + 14.0 * Z(4) +... | 15 | 11 | 1 | {"smallest_eigenvalues": [-135.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -112.5, "smallest_bitstrings": ["11010110010"], "largest_eigenvalue": 188.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5879572974893406) q[0];
ry(-1.609908650434451) q[1];
ry(1.5879572974893406) q[2];
ry(1.5104424368774445) q[3];
ry(1.564317549523146) q[4];
ry(1.6060593366070428) q[5];
ry(1.5816535719799636) q[6];
ry(1.5104424368774445) q[7];
ry(1.6060593366070428) q[8];
ry(1.5829... | OPENQASM 3.0;
include "stdgates.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... | {"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": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIZIIIZIII",
"IIIZZIIIIII",
"ZIIIIZIIIII",
"IIZIZIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IZZIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
15,
2,
3.5,
14,
1,
8.5,
1.5,
18,
15,
2.5,
-11.5
] | 0.986183 | [
1.5879572974893406,
-1.609908650434451,
1.5104424368774445,
1.564317549523146,
1.6060593366070428,
1.5816535719799636,
1.5829090571529696,
1.5114667801930157,
1.6340087695172532,
-1.4097777119472386,
1.4634299432090772,
-1.6343034353859986,
-1.3271836209014283,
1.4323465888268023
] | {
"n_parameters": 14,
"n_qubits": 11,
"optimal_eigenvalue": -135.5,
"target_ratio": 0.97,
"target_value": -131.435
} | 32 |
93141c357d164fcf2a36ba666f8f01e3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 3], "expectation_value": -2.499905744134611, "params": null, "bitstrings": ["1111", "1100"], "total_optimization_steps": 12, "probabilities": [1.7262802419417304e-05, 0.9999394822330102], "optimization_time": 4.846266984939575} | 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)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["1100"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
a617d44a0e23e197ea031a5e0c78581c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capac... | {"states": [0, 1], "expectation_value": -12.878613367086812, "params": [0.0033, 0.0051, 0.0027, 0.004, 0.0027, 0.007200000000000001, 0.0027, 0.0097, -0.0024000000000000002, 0.0077, 0.0026000000000000003, 0.0021000000000000003, 0.0023, 0.008, 0.0023, 0.005200000000000001, 0.0021000000000000003, -0.9181, 1.60760000000000... | -0.25 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 2.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @... | 4 | 10 | 1 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.037531659889395476) q[0];
rz(0.18803132479075657) q[0];
rx(0.069884462724163) q[1];
rz(1.041360565935543) q[1];
rx(-0.039123129404561724) q[2];
rz(-0.7325016615982598) q[2];
rx(0.06988446272416299) q[3];
rz(1.0196013877167687) q[3];
rx(-0.022615113653527495) 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIZIIIZIII",
"IIZIIIIIIZ",
"IIZIIZIIII",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIZIIIIIZI",
"IIIIIZIZII",
"IIZIIIIZII",
"IIIIIIIZZI",
"IZIIIZIIII",
"IZIIZIIIII",
"IZIIIIIZII",
"IIIZZIIIII"... | [
-0.25,
-1,
-0.75,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
2.5,
-0.75,
-0.5,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.25,
-2,
1,
0.5,
1.75,
-0.25,
1,
0,
-1.5
] | 0.983194 | [
0.037531659889395476,
0.4163815102787586,
0.06988446272416299,
0.5867525179136751,
-0.03912312940456172,
-0.5187914974032167,
0.742040261088507,
-0.02261511365352749,
-0.7288417945968432,
-0.0033134618253322055,
0.6827412917165196,
0.6852408931746257,
0.04434464253219436,
0.362140031035623... | {
"n_parameters": 44,
"n_qubits": 10,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 10 |
2d66a63516707ef6fa08689003d445e4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [25, 31], "expectation_value": -4.247334017010428, "params": null, "bitstrings": ["100110", "100000"], "total_optimization_steps": 35, "probabilities": [0.24945952058901016, 0.7485756074158377], "optimization_time": 31.365073204040527} | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.75 * Z(1) + 0.25 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.045249314476118775) q[0];
ry(-0.09669560328563567) q[1];
ry(-0.03838379751098028) q[2];
ry(0.014164474914697217) q[3];
ry(1.3425228774533042) q[4];
ry(-1.5424621818592792) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[... | 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... | [
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IZZIII",
"IIZIZI",
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.25,
-0.5,
-0.75,
-1,
-0.5,
0.5,
-0.5,
-0.5,
0.25,
-0.25,
0.75,
0.25,
-0.5,
-0.5
] | 0.975709 | [
-0.045249314476118775,
-0.09669560328563567,
-0.03838379751098028,
0.014164474914697217,
1.3425228774533042,
-1.5424621818592792,
0.042932205280697015,
0.41990295334686945,
-0.08410675703429009,
0.011798461387283209,
-0.05732375796055354,
-0.015000365546906917,
-0.27227999211895876,
0.0942... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 97 |
b8267cc32c4ab20719d021fb2a369baa | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target": 6}, {"capac... | {"states": [133, 197], "expectation_value": -3.9375838801027236, "params": null, "bitstrings": ["1101111010", "1100111010"], "total_optimization_steps": 45, "probabilities": [0.20914523694571693, 0.2093668485027805], "optimization_time": 67.93331241607666} | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(9) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(7)) + -0.5 * (Z(5) @ Z(8)) + -0.75 * Z(4) + -0.25 * Z(0) + 0.5 * Z(9) + -0.25 * Z(6) + 0.0 * Z(1) + 0.25 * Z(7) +... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 22, "first_excited_energy": -3.25, "smallest_bitstrings": ["1001101000", "1001110000", "1000100000", "100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.1355773610753305) q[0];
ry(-0.3353391923867195) q[1];
rz(-pi) q[1];
h q[2];
ry(0.5294853029605695) q[2];
h q[3];
ry(-1.0253355745940118) q[4];
rz(-pi) q[4];
ry(-0.1250025367710816) q[5];
rz(-pi) q[5];
ry(-0.49523476804521466) q[6];
rz(-pi) q[6];
h q[7];
c... | 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(-1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... | [
"IIIIIZIIIZ",
"ZIIIIIIIIZ",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIIIIZZIII",
"IZIIIZIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IZIIZIIIII",
"IIIIIZIIII",
"IIIIIIIIIZ",
"ZIIIIIIIII",
"IIIZIIIIII",
"IIIIIIIIZI",
"IIZIIIIIII",
"IIIIIIIZII",
"IIIIIIZIII",
"IZIIIIIIII",
"IIIIZIIIII"... | [
-0.5,
0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.75,
-0.25,
0.5,
-0.25,
0,
0.25,
0.25,
0.5,
0.25,
-0.5
] | 0.971225 | [
-0.271154722150661,
1.4290534914143433,
-0.9237596835129824,
-1.2961719570826769,
-0.8999175831658417,
1.058970605921139,
-0.866564043822378,
-1.1845556587074944,
0.17048076945060944,
-0.417995029854608,
0.6856067111399453,
-0.296903317027565,
-0.10180295140136542,
-0.299243665882276,
-0... | {
"n_parameters": 35,
"n_qubits": 10,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 39 |
bd4d5e09460e489b3a7687d2fb06fc0c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}]} | {"states": [71, 101], "expectation_value": -3.4998406508125877, "params": null, "bitstrings": ["0111000", "0011010"], "total_optimization_steps": 34, "probabilities": [1.7180139773990164e-05, 0.9999071372732502], "optimization_time": 25.53033423423767} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(5) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(1) + -0.5 * Z(3) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.101713997269887) q[0];
rz(-pi) q[0];
h q[1];
ry(1.3824691322518885) q[1];
ry(-0.07133908291424587) q[2];
rz(-pi) q[2];
ry(-0.07133908291424587) q[3];
rz(-pi) q[3];
h q[4];
ry(1.3727000906326838) q[4];
cx q[4], q[3];
ry(0.07548237674769742) q[3];
cx q[4], q[3];
ry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4449) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IZIIIIZ",
"IIIIZIZ",
"IZIIIZI",
"IIIZIZI",
"ZIIIZII",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0,
0
] | 0.996181 | [
-1.4239748671329533,
1.3727000906326838,
1.3824691322518885,
-0.15096475349539484,
0.2968970764462026,
0.07546821301355022,
0.12089166435976527,
0.055497320060175215,
-0.023875771095612494,
0.007170258760450595,
0.037450392513724055
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
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