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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6a865e73d4e6861d0009457718f7c0e7 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [99, 98], "expectation_value": -5.652007077661494, "params": [[[0.8679, 0.0032], [2.4003, 0.0043], [-0.0019, -0.0033], [0.0023, -0.0018000000000000002], [0.0036000000000000003, -0.0036000000000000003], [1.0027000000000001, 0.8484], [2.2739000000000003, -0.9642000000000001]]], "bitstrings": ["0011100", "00111... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * Z(2) ... | 15 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["0011101", "0011110"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rx(1.052767296367402) q[0];
rz(1.734067282606989) q[0];
rx(1.482795815494667) q[1];
rz(1.7017603609172856) q[1];
rx(0.0068950644822173834) q[2];
rz(2.098322727352551) q[2];
rx(-0.016557334720073695) q[3];
rz(0.9175952001748406) q[3];
rx(0.08624653593471021) q[4];
rz(2.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIIIZZI",
"IIIZIZI",
"IIZIIZI",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1,
-2,
-1.5,
-1,
-1.5,
-1
] | 0.970859 | [
1.0527672963674022,
0.16327095581209236,
1.482795815494667,
0.13096403412238927,
0.0068950644822173834,
0.5275264005576541,
-0.016557334720073695,
-0.6532011266200554,
0.08624653593471021,
0.5244226051858115,
1.0723714721411683,
0.022999901950381763,
1.2208840667300707,
-0.1541568350571987... | {
"n_parameters": 80,
"n_qubits": 14,
"optimal_eigenvalue": -4.093750000000002,
"target_ratio": 0.97,
"target_value": -3.9709375000000016
} | 21 |
c4451fd603527c531475e6481aa4ec9b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 6}, {"sour... | {"states": [106, 234], "expectation_value": -3.5115314033501006, "params": [0.0007, 0.0038, 1.5893000000000002, 0.0063, 1.6133000000000002, 0.0037, 1.6137000000000001, 0.0071, 0.1226, 0.0058000000000000005, 1.6131, 0.001, 0.3794, 0.006500000000000001, 1.6126, 0.0088, 0.3745, 0.009600000000000001, 0.0081, 0.008700000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(6) + -1.0 * Z(8) + -0.5 * Z... | 3 | 9 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.0006556554173883109) q[0];
rz(0.07311555944981052) q[0];
rx(2.733815340800314) q[1];
rz(-0.2310884109719371) q[1];
rx(-3.086748436241237) q[2];
rz(-0.10857585088589161) q[2];
rx(2.7460527676675803) q[3];
rz(0.14328710544531464) q[3];
rx(-0.10209959842871852) 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": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIZIIZIII",
"IIIIZZIII",
"IZIIZIIII",
"IIIZZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IZIIIIIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
-1,
-1,
-0.5,
-1,
0,
0
] | 0.976678 | [
-0.0006556554173883108,
0.0035132783876906104,
2.733815340800314,
-0.09142866067512717,
3.1964368709383497,
-0.08467724854987485,
2.7460527676675803,
0.3286388212129195,
-0.10209959842871852,
0.07616603748975416,
2.898424449270881,
1.0558983912589404,
0.1780817402915142,
-0.057989191759591... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 13 |
5ab0d413e91c40c8571cb2ab0e0009e7 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 8}, {"source": ... | {"states": [0, 832], "expectation_value": -20.586353346897326, "params": [0.31970000000000004, -0.21630000000000002, 0.3154, -0.3795, -0.3675, 0.6073000000000001, -0.3325, 0.6502, 0.0006000000000000001, 0.6217, 0.0013000000000000002, 0.7230000000000001, -0.3687, 0.012700000000000001, -0.36810000000000004, 0.6085, 0.015... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -3.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + -3.0 * (Z(2) @ Z(9)) + -2.5 ... | 6 | 10 | 3 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["0010111111"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.5574713118117607) q[0];
rz(1.7493992270792322) q[0];
rx(-0.4594540979603695) q[1];
rz(1.8252919771661595) q[1];
rx(0.02046867567771737) q[2];
rz(2.152754468132616) q[2];
rx(-0.36388622198717396) q[3];
rz(1.7051223684501764) q[3];
rx(-0.08839192898698094) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IZIIIZIIII",
"IIZIIZIIII",
"IIZIZIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"ZIIIZIIIII",
"IZIIIIIZII",
"IIIIIZIZII",
"IIZIIIIZII",
"IIIIZIIZII",
"ZIIIIIIZII",
"IZIZIIIIII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIZZIIIII",
"ZIIZIIIIII",
"IIIZIIIZII"... | [
-1.5,
-1.5,
0.5,
-2,
0.5,
-2,
0.5,
-3,
-2.5,
0.5,
0.5,
1,
0.5,
-3,
-2.5,
0.5,
0.5,
0.5,
-3,
-2.5,
0.5,
0.5,
0.5,
1,
-2,
-2.5,
1,
1.5,
-2.5,
1
] | 0.971363 | [
-0.5574713118117606,
0.17860290028433565,
-0.4594540979603695,
0.2544956503712633,
0.02046867567771737,
0.5819581413377195,
-0.363886221987174,
0.13432604165527892,
-0.08839192898698095,
0.472490915671105,
-0.1404617520731622,
1.2070778612727862,
0.02394998335109433,
0.35084461764043817,
... | {
"n_parameters": 191,
"n_qubits": 10,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 226 |
8f21ecaec272429f1bdc72f298b44a30 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "so... | {"states": [30, 15], "expectation_value": -3.721322339349961, "params": [[0.0704, 0.066, 0.07, 0.0772], [-0.07970000000000001, -0.0695, -0.0698, -0.08020000000000001]], "bitstrings": ["00001", "10000"], "total_optimization_steps": 10, "probabilities": [0.09867973897256, 0.10843653565523538], "optimization_time": 3.6848... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + 1.75 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.0 * Z(4) + -0.25 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08724389564847751) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.011836385549881461) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-1.047686382723164) q[1];
rx(1.1987979393789188) q[1];
rz(-0.44952800909731894) q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.25,
-1.5,
-1.25,
1.75,
-1.75,
-2.75,
1.25,
-0.25,
-0.75,
0,
-0.25
] | 0.891714 | [
-0.08724389564847751,
0.011836385549881461,
-0.44952800909731894,
-0.29147368059620293,
0.7280283660373118,
0.7662136357667987,
-1.047686382723164,
-0.36229933156876115,
-0.0461740530584128,
1.1987979393789185,
0.02516654379014708,
-0.005014422258785183,
-0.30548343106272147,
-1.1670616733... | {
"n_parameters": 19,
"n_qubits": 5,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 500 |
5d474162f07dfb1b3248afb7c4b90a85 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, ... | {"states": [1, 3], "expectation_value": -23.606582687309192, "params": [[[0.1447, -0.3316], [0.5706, 0.0018000000000000002], [0.2169, -0.27890000000000004], [0.2621, 0.21080000000000002], [0.1773, -0.324], [0.7913, 0.0025], [0.7993, -0.0044]], [[0.1495, 0.007500000000000001], [0.5710000000000001, 0.0008], [0.2172, 0.00... | 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)) + 2.75 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 1 | 7 | 2 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.33842977011630987) q[0];
rz(-0.1108368416663894) q[0];
rx(0.3147269537321503) q[1];
rz(0.4403416265327494) q[1];
rx(-0.051370858575326604) q[2];
rz(-0.22672638531976275) q[2];
rx(0.03931970306589702) q[3];
rz(0.9073276713830547) q[3];
rx(0.0661833452113321) 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[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
3,
3,
2.75,
3,
2.75,
3,
3,
3,
3,
-10,
-10.5,
-10,
-10,
-10.25,
-9.5,
-9.25
] | 0.976782 | [
-0.33842977011630987,
-0.1108368416663894,
0.3147269537321503,
0.4403416265327494,
-0.051370858575326604,
-0.22672638531976275,
0.03931970306589702,
0.9073276713830547,
0.0661833452113321,
-0.5231724704730886,
2.88377300871935,
-1.119200286847717,
2.8464014046151784,
-0.7664925011163902
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -30.75,
"target_ratio": 0.97,
"target_value": -29.8275
} | 16 |
3568935625424245825 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [1, 7], [3, 7], [2, 6], [3, 4], [2, 7], [4, 5]]} | {"states": [116, 139], "expectation_value": -0.0743107259246057, "params": [[-0.0775], [0.0697]], "bitstrings": ["10001011", "01110100"], "total_optimization_steps": 10, "probabilities": [0.00451325954865653, 0.00451325954865653], "optimization_time": 0.5470340251922607} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["10001011", "01110100"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.8190768760876861) q[0];
cx q[3], q[0];
rz(-1.8713845140183594e-08) q[0];
rx(0.7853981393740376) q[0];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(-0.8190768760876861) q[7];
cx q[3], q[7];
cx q[3], q[4];
rz(-0.81... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[7];
rz(x0) q[7];
cx q[3], q[7];
cx q[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[7]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"ZIIIZIII",
"ZIIIIIZI",
"ZIIIIZII",
"IZIIIZII",
"IIIZZIII",
"IIZZIIII",
"IIIIZIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.497255 | [
-0.8190768760876861,
-1.871384517840014e-8,
0.7853981393740377
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 92 |
fcba12f78dbb04a944afdfe31d032329 | 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": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [192, 65], "expectation_value": -8.757710758125171, "params": null, "bitstrings": ["00111111", "10111110"], "total_optimization_steps": 29, "probabilities": [0.14460675854263316, 0.8514784116344465], "optimization_time": 30.720569849014282} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10111110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4254799601393619) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.4254799601393619) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.0294819745702197) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0294819745702197) ... | 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(-1.5681) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IIIIZZII",
"IIIZIZII",
"IZIIIZII",
"ZIIIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"IIZIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIZI... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
1.75,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-1,
0,
-0.25,
-0.5,
0.25,
0.5,
1,
0,
-1
] | 0.965139 | [
0.4254799601393619,
0.0294819745702197,
-0.8480239773916536,
0.4187717515697565,
0.6696261157821541,
0.305487811964182,
0.5015073803258601,
-0.3150905293887279,
0.8566058060930665,
0.5723667175968977,
-0.1886534447062073,
-0.03350896778430279,
1.0910279095719788,
-0.16547738044583582,
-0... | {
"n_parameters": 37,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 500 |
6ef59a543be30939ac7c067bacbb4427 | 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": [1209, 1177], "expectation_value": -69.47026362233944, "params": [1.202, -0.08610000000000001, 1.2068, 0.004200000000000001, 0.7625000000000001, 0.30910000000000004, 0.7598, 0.0083, 0.0022, -0.5245000000000001, 0.0027, 0.00030000000000000003, 1.1993, 0.0915, 1.1946, 0.0082, 0.7541, -0.2534, 0.7559, 0.0044, 0... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(9) @ Z(3)) + 7.0 * (Z(9) @ Z(6)) + 7.0 * (Z(10) @ Z(1)) + 10.0 * Z(0) + 4.5 * Z(1) + 12.5 * Z(3) + 4.5 * Z(4) + 22.5 * Z(6) + 16.0 * Z(... | 5 | 11 | 1 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["01101100110"], "largest_eigenvalue": 183.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.8603833329222073) q[0];
rz(0.01660076278034417) q[0];
rx(0.2599180216952541) q[1];
rz(1.1464401884743873) q[1];
rx(0.16943968695669737) q[2];
rz(-0.5771005660604684) q[2];
rx(2.179521628041299) q[3];
rz(0.23857917241798443) q[3];
rx(0.27799615557015367) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZZIII",
"IIIIZIIZIII",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IIIIIZIIIIZ",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IZIIIIIZIII",
"IZIIZIIIIII",
"ZIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"IIIIIZIIIII",
"IZIIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
10,
4.5,
12.5,
4.5,
22.5,
16,
7.5,
4,
2,
-10,
-13
] | 0.972605 | [
0.8603833329222073,
-0.04159531131490031,
0.259918021695254,
0.9350216453263605,
0.16943968695669737,
-0.8311864129074,
2.179521628041299,
0.16067748026509313,
0.27799615557015367,
-0.732697601370243,
-0.08965444878053584,
-0.5467869011738677,
1.340616096907306,
0.1724078910471455,
1.102... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -114.5,
"target_ratio": 0.97,
"target_value": -111.065
} | 57 |
fdd193cb015e57ef85d2ae5c4eb54ede | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [34, 12], "expectation_value": -2.1023062656789304, "params": [[0.0589, 0.0673, 0.0737, 0.08], [-0.027, -0.0478, -0.0575, -0.0684]], "bitstrings": ["1011101", "1110011"], "total_optimization_steps": 10, "probabilities": [0.01788962440442955, 0.01791175482655185], "optimization_time": 8.248961687088013} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101111", "1011101", "1111010", "1001111", "1101011", "0111101", "1110011", "0111110"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.07570942245496524) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.07570942245496524) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.07570942245496524) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.07570942245496524) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIZI",
"ZIIZIII",
"IIIZZII",
"ZIIIZII",
"IZIZIII",
"IZZIIII",
"ZZIIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2,
-1,
-1.5,
-1,
-1.5
] | 0.970736 | [
0.07570942245496524,
-1.1207471745353512,
-0.2307855789221866,
-1.2240404964433413,
-1.2523499073318871,
0.6384391318483287,
-0.8265045417678176,
-0.6678735821875842,
-2.1284699588688407,
-0.30330827614393213,
0.5683998775361413,
-2.4878442729812242,
-1.3799902050266712,
-1.836426382423593... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 122 |
2595393ec6a8cf85d387fa4d443f68fe | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [48, 58], "expectation_value": -4.499934074184779, "params": null, "bitstrings": ["001111", "000101"], "total_optimization_steps": 27, "probabilities": [1.3833773570316686e-05, 0.999948184162596], "optimization_time": 21.365750074386597} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["000101"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.039378763522295586) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.039378763522295586) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(0.039378763522295586) q[4];
cx q[3], q[4];
rz(-1.5354177947497778) q[3];
rx(-1.63381938549... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIZIIZ",
"ZIIIIZ",
"IIZIZI",
"ZIIIZI",
"ZIIZII",
"IZZIII",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1.5,
-0.5,
0,
-0.5
] | 0.980264 | [
0.039378763522295586,
-1.5354177947497778,
1.43026941588834,
-1.4957618524327259,
1.2143430960656043,
-1.6338193854963232
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
eb9f82d0aaa03fdb655e5d6e72b145a4 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "... | {"states": [4047, 4095], "expectation_value": -1.3515991175027182, "params": [[-0.0747], [0.0741]], "bitstrings": ["000000110000", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.00044386628179050186, 0.00044386628179050186], "optimization_time": 2.2802634239196777} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -2.0 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(10))... | 1 | 12 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000000000", "000000110000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(0.5301722356918784) q[0];
h q[1];
ry(0.5748119771964393) q[1];
h q[2];
ry(1.1499114714993717) q[2];
h q[3];
cx q[3], q[0];
ry(-0.5301722356918784) q[0];
cx q[3], q[0];
cx q[0], q[1];
ry(-0.5748119771964393) q[1];
cx q[0], q[1];
ry(0.9449741928033618) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIZZIIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIIZ... | [
-2,
0.5,
-2,
-1.5,
-2,
0.5,
-1,
-1.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.89238 | [
1.0603444713837569,
0.16918204378627502,
1.1496239543928786,
0.7032905662349646,
1.8899483856067236,
0.7745385637699488,
2.2998229429987433,
1.5839209315650926,
1.2261711812779916,
-1.0765374946053805,
1.373405715426794,
0.029184257633368564,
0.0018154042909311694,
0.31326701541446766,
1... | {
"n_parameters": 70,
"n_qubits": 12,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 500 |
ec558389e30bd7bb5460c94de21a4e69 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [102, 100], "expectation_value": -3.724016927474316, "params": [-0.0026000000000000003, 0.5556, 0.8453, 0.2313, 0.9074000000000001, 0.005200000000000001, 0.16740000000000002, 0.5653, 0.3592, 0.6487, 0.9092, 0.029400000000000003, 0.7342000000000001, 0.0419, 0.0025, 0.4364, -0.0021000000000000003, 0.003, 0.846... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + ... | 3 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -4.0, "smallest_bitstrings": ["10001111", "11101100", "11110001", "11001101", "11011001", "11110100", "10110011", "10011011", "01111001"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.0055169282585947055) q[0];
rz(0.9588821086926842) q[0];
rx(1.476724804063016) q[1];
rz(0.2135243763826482) q[1];
rx(1.7661477053488295) q[2];
rz(-0.2222321886083236) q[2];
rx(-0.11609969448725246) q[3];
rz(0.7958855181517492) q[3];
rx(0.015202900550804409) 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": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"IZIIIIZI",
"IIZIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1,
-1,
-1,
-1.5,
0,
-0.5
] | 0.979413 | [
-0.0055169282585947055,
0.6124871881449991,
1.4767248040630163,
0.3658644658852349,
1.7661477053488295,
0.10253519255719334,
-0.11609969448725246,
0.5354263853994,
0.015202900550804407,
0.5271296606702913,
1.8479479306989801,
0.07076800050304646,
0.19097211892772598,
0.3932307923249252,
... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 16 |
ec35ce3891ac4bb821f68ab1691bd73d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 8}, {"source": 6, "target": 8}, {"sour... | {"states": [0, 255], "expectation_value": -7.126632381659089, "params": [[[-0.002, 1.6131], [0.0025, -0.0021000000000000003], [0.0016, 0.0029000000000000002], [0.0034000000000000002, 0.003], [0.0034000000000000002, -0.003], [0.0016, 0.0022], [0.0027, 0.0027], [0.0031000000000000003, 0.0029000000000000002]]], "bitstring... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + -1.5 * Z(7) + 1.0 * Z(5) + 1.0 * Z(6) | 15 | 8 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["00000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.6889297525202944) q[0];
cx q[1], q[0];
rz(0.14575789635027325) q[0];
rx(0.9040475238941487) q[0];
rz(0.14575789635027325) q[1];
rx(0.9040475238941487) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(1.2782695310528267) q[2];
cx q[4], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x1... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"ZIZIIIII",
"ZZIIIIII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1.5,
-1.5,
0.5,
-1,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
1
] | 0.566198 | [
1.6889297525202944,
1.2782695310528267,
0.14575789635027314,
0.9040475238941488
] | {
"n_parameters": 4,
"n_qubits": 8,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 133 |
b3b1cb1520c3aa30d4f7e1cee02a4b43 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 0, "target":... | {"states": [290, 354], "expectation_value": -9.062068494057609, "params": [-0.0018000000000000002, -0.0018000000000000002, 1.5679, 1.5691000000000002, -0.0023, -0.0023, -0.8470000000000001, -0.8498, 1.5726, 1.5754000000000001, 0.0033, 0.0033, 0.0022, 0.0022, -0.0031000000000000003, -0.0031000000000000003, 1.6224, 1.515... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["1010011101", "1001111001"], "largest_eigenvalue": 26.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.013340623731848886) q[0];
rz(0.625634916732649) q[0];
ry(1.540686854315829) q[1];
ry(0.024242171048985475) q[2];
ry(-0.9380557787639318) q[3];
ry(1.639350577384123) q[4];
ry(-0.03441632070373967) q[5];
ry(-0.04131588075418091) q[6];
ry(-0.17189908340531368) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIZIIIZIII",
"IIZIIIIIIZ",
"IIZIIZIIII",
"IZIIIIIIIZ",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIZIIIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"ZIIIIIIZII",
"IIIZIIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZIZIIIII",
"IIIZZIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-2,
-2,
-0.5,
-1.5,
-2,
0,
-2,
-2
] | 0.973888 | [
0.013340623731848886,
1.540686854315829,
0.024242171048985475,
-0.9380557787639318,
1.639350577384123,
-0.03441632070373967,
-0.04131588075418091,
-0.17189908340531368,
1.613883848064353,
0.05152364855966572,
1.251269833465298,
-0.04605797115101748,
-1.2075456274570149,
1.3717898914537883,... | {
"n_parameters": 34,
"n_qubits": 10,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 7 |
f0e8bbb7550def231670f6898b4af761 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [1023, 960], "expectation_value": -0.09094228715473693, "params": [[-0.013600000000000001], [0.0074]], "bitstrings": ["0000000000", "0000111111"], "total_optimization_steps": 10, "probabilities": [0.0010024415014805589, 0.001002448886353352], "optimization_time": 3.5296835899353027} | -2.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(6)) + -3.0 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(4)) + -3.0 * (Z(8) @ Z(6)) + -3.5 * (Z(8) @ Z(4)) + -3.5 * (Z(8) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + -2.5 * (Z(9) @ Z(4)) + -... | 1 | 10 | 1 | {"smallest_eigenvalues": [-34.0, -34.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -31.0, "smallest_bitstrings": ["0000000000", "0000111111"], "largest_eigenvalue": 30.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.8181935209475955) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.0588649254128955) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.8181935209475955) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.07551204736516777) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIZIIZIIII",
"IZIZIIIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIIIIZIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IIZIZIIIII",
"IZIIZIIIII"... | [
-2,
-1.5,
-2,
0.5,
-2,
0.5,
-3,
-3,
-2.5,
-3,
-3.5,
-3.5,
1,
-2.5,
-2.5,
1,
-3,
1,
1,
-3,
0.5,
0.5,
0.5,
0.5,
1.5,
1,
1,
-2.5,
0.5,
-1.5
] | 0.607118 | [
0.8181935209475955,
1.0588649254128955,
0.07551204736516777,
0.5122259495679617,
0.7084658388541925,
0.48386568575692396,
0.24458774703271377,
0.4088014775924705,
1.0637987209271864
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -34,
"target_ratio": 0.97,
"target_value": -32.98
} | 227 |
4d63f4ebf529d16921552ca8fd853591 | 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": [159, 155], "expectation_value": -76.53877184935723, "params": [0.3633, 0.3052, 0.9976, -0.0005, 0.0011, 0.7375, 0.0048000000000000004, 0.5476, 0.9942000000000001, 0.0, 0.9937, 0.1265, 0.5548000000000001, 0.25670000000000004, 0.9956, 0.0036000000000000003, 0.9820000000000001, -0.1082, 0.3678, 0.2969, 0.9958,... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(5) @ Z(0)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(7) @ Z(0)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(8)) + 6.5 * Z(0) + 17.5 * Z(1) + 21.0 * ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-90.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["101100100"], "largest_eigenvalue": 178.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.20060331994860475) q[0];
rz(-0.46836232959700075) q[0];
rx(1.352636320436524) q[1];
rz(0.06429469275826485) q[1];
rx(0.05559131770660522) q[2];
rz(1.116110092738427) q[2];
rx(0.019899293255107506) q[3];
rz(1.0860821646449368) q[3];
rx(1.4145065271608537) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIIZIIIIZ",
"IIZZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIZIIIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
6.5,
17.5,
21,
-3.5,
13.5,
13.5,
16.5,
14.5,
-7
] | 0.972522 | [
0.20060331994860472,
-0.3570112648160292,
1.352636320436524,
0.06429469275826485,
0.05559131770660522,
1.116110092738427,
0.019899293255107506,
1.0860821646449368,
1.4145065271608537,
-0.05304327743100826,
1.6037142614731437,
-0.1389404271735575,
0.2564198436231425,
-0.25921569777881276,
... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -90,
"target_ratio": 0.97,
"target_value": -87.3
} | 8 |
0d8d9440607c15706cae5380bc7bfd0c | 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": [43669, 43605], "expectation_value": -1.6294628877850195, "params": [[1.351, 0.27, 1.5919, 0.268, 1.5959, 0.28950000000000004, 1.5946, 0.3592, 1.5466, 1.5506, 0.35350000000000004, 1.5836000000000001, 0.31520000000000004, 1.5915000000000001, 0.2879, 0.34490000000000004], [1.6134000000000002, 0.2933, 1.5894000... | 0.25 * (Z(0) @ Z(1)) + -0.0008264462809917356 * (Z(2) @ Z(0)) + -0.0008264462809917356 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006714876033057851 * (Z(4) @ Z(0)) + 0.0003099173553719008 * (Z(4) @ Z(2)) + -0.0006714876033057851 * (Z(5) @ Z(1)) + 0.0003099173553719008 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0006... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.023657024793354], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0236570247932644, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0127066115701893} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.4727607728675043) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.015102868074323261) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.015102868074323261) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.4727607728675043) q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"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,
-0.0008264462809917356,
-0.0008264462809917356,
0.25,
-0.0006714876033057851,
0.0003099173553719008,
-0.0006714876033057851,
0.0003099173553719008,
0.25,
-0.0006714876033057851,
-0.0008264462809917356,
-0.0006714876033057851,
-0.0006714876033057851,
-0.0008264462809917356,
-0.00067... | 0.977555 | [
1.4727607728675043,
0.015102868074323261,
-0.023651607089155036,
0.0692664265920943,
-0.7789650931180839
] | {
"n_parameters": 5,
"n_qubits": 16,
"optimal_eigenvalue": -2.023657024793348,
"target_ratio": 0.97,
"target_value": -1.9629473140495475
} | 20 |
23eecc982a2f211d1eabd60eb6402f3e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 1, "target": 4}, {"weight": 9, "source": 2, "target": 3}, {"weight": ... | {"states": [378, 346], "expectation_value": -88.2598028697412, "params": [0.0848, 0.0772, 0.1771, 0.06720000000000001, 0.5940000000000001, 0.0103, 0.5951000000000001, 0.020900000000000002, 0.17930000000000001, -0.2535, 0.1792, -0.2571, 0.5906, -0.0114, 0.5898, 0.028, 0.3849, -0.2117, 0.34740000000000004, -0.221, 0.5956... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(6)) + 5.5 * (Z(9) @ Z(8)) + 13.0 * Z(1) + -4.0 * Z(0) + 13.5 *... | 6 | 10 | 2 | {"smallest_eigenvalues": [-100.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.5, "smallest_bitstrings": ["1010100101"], "largest_eigenvalue": 152.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.0005467274157845009) q[0];
rz(1.5244542403519494) q[0];
rx(0.5649667109389005) q[1];
rz(1.1292353726065425) q[1];
rx(0.09255628869619949) q[2];
rz(1.0593417961784333) q[2];
rx(0.7880339376447654) q[3];
rz(1.200115868967364) q[3];
rx(-0.1431890312110038) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIZIIZIII",
"IIIZIZIIII",
"IIZIZIIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
13,
-4,
13.5,
-1,
12,
18.5,
12.5,
2,
14,
0.5
] | 0.970211 | [
0.0005467274157845009,
-0.04634208644294724,
0.5649667109389004,
-0.4415609541883537,
0.09255628869619949,
-0.5114545306164638,
0.7880339376447654,
-0.3706804578275321,
-0.14318903121100376,
0.2871102549199795,
0.7732929315979936,
0.1659380891013925,
0.8002717540022454,
0.13404824144487426... | {
"n_parameters": 98,
"n_qubits": 10,
"optimal_eigenvalue": -100.5,
"target_ratio": 0.97,
"target_value": -97.485
} | 106 |
094c21a567eedc9b0544914371dc9998 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": ... | {"states": [958, 1022], "expectation_value": -18.173583113043925, "params": null, "bitstrings": ["0001000001", "0000000001"], "total_optimization_steps": 100, "probabilities": [0.05859965874871071, 0.27429200147955524], "optimization_time": 380.9104337692261} | -3.5 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(0)) + 1.0 * (Z(6) @ Z(3)) + -4.0 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -3.0 * (Z(8) @ Z(3)) + -3.0 * (Z(8) @ Z(0)) + -3.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + -2.5 * (Z(1) @ Z(6)) + 0.5 *... | 1 | 10 | 1 | {"smallest_eigenvalues": [-42.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -41.5, "smallest_bitstrings": ["0000000001"], "largest_eigenvalue": 38.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.5328121734964022) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.25263276255427825) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.6087210124373932) q[5];
cx q[0], q[5];
h q[6];
cx q[3], q[6];
rz(0.252632762554278... | null | {"node": 10} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[0], 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] = measu... | [
"IIIIIIZIIZ",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IZIIIIZIII",
"IZIIIIIIIZ",
"IZIIZIIIII",
"IZIZIIIIII",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IZIIIIIIZI",
"IIIIIIZZII",
"IIIIIIIZIZ",
"IIIIZIIZII",
"IIIZIIIZII",
"IZIIIIIZII"... | [
-3.5,
1,
-3,
1,
-4,
1,
-3,
-3,
-3,
1,
0.5,
0.5,
0.5,
-2.5,
0.5,
-3.5,
1.5,
0.5,
-3.5,
-3.5,
-3,
0.5,
1,
-3.5,
-3.5,
0.5,
-3,
1,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.526642 | [
0.5328121734964022,
0.25263276255427825,
0.6087210124373932,
0.361463275018582,
0.169631693660652,
0.7721883297262973,
0.3027856264707631,
1.5707963446703674,
1.012453341456965
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -42.5,
"target_ratio": 0.97,
"target_value": -41.225
} | 260 |
0f435eed505f807fb8dc44643dfd43ce | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target"... | {"states": [8, 1], "expectation_value": -13.840561154722874, "params": [[-0.0477, -0.020800000000000003, 0.0063, -0.0105], [0.0753, 0.07100000000000001, 0.060500000000000005, 0.0653]], "bitstrings": ["10111", "11110"], "total_optimization_steps": 10, "probabilities": [0.08583038652094557, 0.09462513233611804], "optimiz... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.25 * Z(1) + -8.5 * Z(0) + -8.25 * Z(2) + -8.25 * Z(3) + -7.75 * Z(4) | 11 | 5 | 4 | {"smallest_eigenvalues": [-21.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.75, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 64.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h 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[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
-8.25,
-8.5,
-8.25,
-8.25,
-7.75
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
16d309fbf50eb3de0ab671378ee18bce | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.0843016686736028, "params": [[0.013800000000000002], [-0.0239]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0040455083391163285, 0.004050923022964584], "optimization_time": 2.4863438606262207} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(6) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.12021306467003467) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.12021306467003467) q[5];
cx q[3], q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(0.619045472878983) q[1];
cx q[3], q[1];
rz(0.6629361776915914) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} | [
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"ZIIIIIZI",
"IIIIZZII",
"IIZIIZII",
"IIZZIIII",
"ZIIZIIII",
"IIIZIZII",
"IZIIZIII",
"IZIIIZII",
"IZIZIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIZII",
"IIIZIII... | [
-0.25,
-0.25,
-1.5,
-1.75,
-0.5,
2,
-0.75,
-0.25,
-1.5,
-1.25,
-0.25,
-1.25,
-0.5,
-1.5,
-1.75,
-2,
0.75,
-0.25,
0.5,
-0.5,
-0.75,
1.5,
1.5,
-2.75
] | 0.753128 | [
0.12021306467003467,
0.6629361776915914,
0.619045472878983,
0.28570574726183656,
-0.5663852669872758,
0.1273970154663604,
0.3375480158663885,
0.5843197981729872,
-0.1663806001123737,
-0.3111552012899571,
-0.24267714715287347,
0.014118320570961941,
1.2171445897763404,
0.1959828147103447,
... | {
"n_parameters": 26,
"n_qubits": 8,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 500 |
93141c357d164fcf2a36ba666f8f01e3 | edge_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": [25, 22], "expectation_value": -1.5007434388240293, "params": null, "bitstrings": ["00110", "01001"], "total_optimization_steps": 29, "probabilities": [0.06723978163605852, 0.6325175128957774], "optimization_time": 25.97515630722046} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["00110", "01001"], "largest_eigenvalue": 4.0} | 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[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.3016) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"IIIZZ",
"IIZIZ",
"IIZZI",
"IIZZZ",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"ZZIIZ",
"IZIZI",
"ZIZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0,
-0.25,
-0.25,
-0.25,
-0.25
] | 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 |
8790253148889747345 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4, 6], [0, 5, 6], [2, 3, 4, 6], [0, 2, 3], [3, 4, 5]]} | {"states": [59, 109], "expectation_value": -0.6378819742562787, "params": [[-0.37770000000000004], [0.3759]], "bitstrings": ["1000100", "0010010"], "total_optimization_steps": 40, "probabilities": [0.01814649048749764, 0.01814649048749764], "optimization_time": 1.445974349975586} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.4166666666666665, "smallest_bitstrings": ["1000100", "0010010"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-3.265880934331335e-07) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(6.528031409580129e-08) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-3.265880934331335e-07) q[4];
cx q[1], q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(6.528031... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
c... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIZIZII",
"IIZIIZI",
"ZIIIZII",
"ZIIIIZI",
"ZIZIIII",
"IIIIZIZ",
"ZIIIIIZ",
"IZZIIII",
"ZZIIIII",
"IZIIIIZ",
"IIIZZII",
"IIZZIII",
"ZIIZIII",
"IIIZIIZ",
"IZIZIII",
"IIIIZII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII"
] | [
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.25,
0.08333333333333333,
0.16666666666666666,
0... | 0.777778 | [
-3.265880934331335e-7,
6.528031409580129e-8,
1.869133147207742e-7,
-1.5707960846192763,
1.5707957556395913,
-1.5695655734534026,
1.570796726802584,
1.5707962077837205
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 289 |
fd959b015d7c5b50b2cd05831ed95a60 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [211, 122], "expectation_value": -9.404319062645522, "params": [[-0.046700000000000005], [0.06280000000000001]], "bitstrings": ["00101100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006900645380483314, 0.007800740072998409], "optimization_time": 2.097930431365967} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 155.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
17,
11,
12,
20,
12.5,
4,
17.5,
5
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
69144809aea48cb46eae9c3950f24a15 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [12, 3], "expectation_value": -0.10491946281549398, "params": [[-0.0594, -0.0723], [0.0714, 0.0723]], "bitstrings": ["0011", "1100"], "total_optimization_steps": 10, "probabilities": [0.07255385089182942, 0.07255385089182943], "optimization_time": 1.6356072425842285} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + 0.0 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1100", "0110", "0011"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx... | null | {"circuits": [], "gradients": []} | [
"IZIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"IIZI",
"ZIII"
] | [
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
0
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
ff12bd2c4927dd09879cd9143bdb8472 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 5}, {"weight": 4... | {"states": [119, 118], "expectation_value": -10.593220299170742, "params": [[0.0534], [-0.07880000000000001]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.008045424903024796, 0.009004869848287422], "optimization_time": 2.167055606842041} | 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(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) @ Z(6)) + 15.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 140.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.05402196679930514) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.05402196679930514) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.05402196679930514) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.05402196679930514) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIZII",
"IIZIIIZI",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
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,
5,
15.5,
8.5,
9,
16.5,
13.5,
8
] | 0.973272 | [
-0.05402196679930514,
1.9309508006179656,
-1.1087691465097824,
1.1365272156861124,
-0.9576550446646068,
1.3475536784622788,
1.6787387413020332,
-0.8076971171792336,
-1.040413476265019,
0.17535856771882383,
-0.3398795500131562,
-0.12376385071992982,
0.5838218808104491,
-0.18493009400659796,... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -68.5,
"target_ratio": 0.97,
"target_value": -66.445
} | 74 |
1674724299570904343 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 5], [0, 5], [0, 2], [0, 3], [3, 4], [2, 3], [1, 2], [5, 7], [3, 7], [6, 7], [8, 6], [0, 4], [8, 5], [1, 6], [3, 5], [0, 6], [8, 0], [2, 6], [0, 7], [8, 2], [8, 4], [8, 1], [1, 7], [2, 4]]} | {"states": [188, 412], "expectation_value": -4.186335725046351, "params": null, "bitstrings": ["101000011", "001100011"], "total_optimization_steps": 71, "probabilities": [0.07270855057404164, 0.7627988374049823], "optimization_time": 161.92919850349426} | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100011", "010111100", "110011100", "101000011"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(0.3925822107342894) q[2];
cx q[5], q[2];
cx q[5], q[0];
rz(0.3925822107342894) q[0];
cx q[5], q[0];
cx q[2], q[0];
rz(0.3925822107342894) q[0];
cx q[2], q[0];
cx q[5], q[3];
rz(0.3925822107342894) q[3];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[8], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"IIIZIIZII",
"IIIZIIIIZ",
"IIIIIIZIZ",
"IIIZIZIII",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIIIZZI",
"IZIZIIIII",
"IZIIIIIIZ",
"IZIIIZIII",
"IZIIIIIZI",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZIIIIZI",
"IZZIIIIII",
"ZIIZIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.417868 | [
0.3925822107342894,
-5.924105143414508e-9,
-0.5760513268434997
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 94 |
ab957251534d09507f870c3a6ef42154 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "... | {"states": [2394, 1701], "expectation_value": -0.020742554587379024, "params": [[-0.0876], [0.0804]], "bitstrings": ["011010100101", "100101011010"], "total_optimization_steps": 10, "probabilities": [0.00026529797358671863, 0.0002652979735867188], "optimization_time": 4.7645485401153564} | 0.25 * (Z(0) @ Z(1)) + 0.00034722222222222224 * (Z(2) @ Z(0)) + 0.00034722222222222224 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010416666666666667 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + -0.0010416666666666667 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0006944444444444445 * (Z(6)... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5131944444444438, -1.5131944444444438, -1.5131944444444438, -1.5131944444444438], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5104166666666665, "smallest_bitstrings": ["100101011010", "101010010101", "010101101010", "011010100101"], "largest_eigenvalue": 1.52291666666666... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.8371932544002377) q[0];
rz(0.20858065204347453) q[0];
ry(-0.45655694041749045) q[1];
ry(0.4641984393163029) q[2];
ry(-0.19028136922153194) q[3];
ry(1.019406464640929) q[4];
ry(-0.07467794364198581) q[5];
ry(0.1078744572788903) q[6];
ry(0.5781622452340566) q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
0.00034722222222222224,
0.00034722222222222224,
0.25,
-0.0010416666666666667,
-0.0015625,
-0.0010416666666666667,
-0.0015625,
0.25,
0.0006944444444444445,
0.00034722222222222224,
-0.0010416666666666667,
0.0006944444444444445,
0.00034722222222222224,
-0.0010416666666666667,
0.25,
... | 0.97248 | [
0.8371932544002377,
-0.45655694041749045,
0.4641984393163029,
-0.19028136922153194,
1.019406464640929,
-0.07467794364198581,
0.1078744572788903,
0.5781622452340566,
-0.09758270765337963,
0.42316099187094136,
-0.019552344140408177,
0.5019802359551023,
0.41716130408694907,
-0.391375460764549... | {
"n_parameters": 94,
"n_qubits": 12,
"optimal_eigenvalue": -1.5131944444444438,
"target_ratio": 0.97,
"target_value": -1.4677986111111105
} | 23 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [9, 35], "expectation_value": -0.2497109855908984, "params": [[0.0458, 0.052000000000000005], [-0.0367, -0.0364]], "bitstrings": ["110110", "011100"], "total_optimization_steps": 10, "probabilities": [0.017309818882551856, 0.017661282550528408], "optimization_time": 3.594424247741699} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) q[4... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-0.5,
0
] | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
23ed60bc96758366e843c21e3bc9a3e0 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [70, 7], "expectation_value": -10.036678621378986, "params": [[0.032600000000000004, -0.008700000000000001, -0.0685], [-0.0476, -0.041, 0.0502]], "bitstrings": ["10111001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.006503834032690419, 0.0070342958633742335], "optimization_time": 11.007... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.... | 10 | 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;
rz(2.2678692430954843) q[0];
ry(0.133982112329514) q[0];
rz(-1.6423171496700617) q[0];
rz(2.865239814634158) q[1];
ry(0.10791559648463672) q[1];
rz(-2.28638342328192) q[1];
rz(1.9493878355086798) q[2];
ry(0.421390967996594) q[2];
rz(-1.6340873891194703) q[2];
rz(1.60446... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
2.75,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.5,
-6.5
] | 0.970676 | [
-0.1009869528208311,
0.2011463194306295,
-0.18388450202335396,
0.11641300867557425,
-0.1790840385320124,
0.2759826702065239,
0.2521979674672631,
-0.4285969017555645,
-0.1906059886326268,
0.9293906646938866,
0.9046304454595955,
0.13113208583620667,
1.1395547029818167,
-0.04090143663475966,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 14 |
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": -0.45379706409624054, "params": [[0.008400000000000001, -0.06620000000000001], [-0.046400000000000004, 0.059000000000000004]], "bitstrings": ["11101110", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004916316912517562, 0.0049550807215623036], "optimization_... | -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 | 2 | {"smallest_eigenvalues": [-8.75, -8.75, -8.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.75, "smallest_bitstrings": ["11101110", "10000000", "11000000"], "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] 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",
"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 |
-3140751740122865952 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[2, 6, 7], [0, 4], [8, 1], [9, 10], [1, 5, 9], [0, 10, 3], [1, 2, 6], [0, 2, 6], [9, 3, 1], [10, 7], [8, 9, 6], [3, 5, 7], [8, 10], [0, 5, 6], [1, 10], [0, 7], [8, 2, 3, 6], [4, 6], [0, 1], [1, 4, 9, 7], [0, 2, 3]]} | {"states": [1214, 1182], "expectation_value": -4.893035978785487, "params": [1.5102, -0.0014, 1.4805000000000001, 0.0027, 0.0023, 1.5284, 0.0024000000000000002, 0.0012000000000000001, 2.4570000000000003, 0.8827, 2.4577, 0.007, 2.2096, -0.3951, 0.9097000000000001, 0.00030000000000000003, -0.002, 1.5381, -0.002, 0.0067, ... | 0.5833333333333334 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(6)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.25 * (Z(8) @ Z(6)) + 0.0833... | 7 | 11 | 1 | {"smallest_eigenvalues": [-5.250000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.083333333333334, "smallest_bitstrings": ["01101100001"], "largest_eigenvalue": 16.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.457522803428682) q[0];
rz(0.6918369262261743) q[0];
rx(-0.0011559571088527315) q[1];
rz(1.431570371551604) q[1];
cx q[1], q[0];
rz(-0.7130251373284915) q[0];
cx q[1], q[0];
rx(1.5876666367385681) q[0];
rz(0.11126921049555731) q[0];
rx(-0.06599199022837954) q[1];
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": []} | [
"IIIIZIIIZII",
"IIIZZIIIIII",
"IIIZIIIIZII",
"IIIIZIIIIIZ",
"IIIIIIIIZIZ",
"IIIZIIIIIIZ",
"IIIIZIZIIII",
"IIIZIIZIIII",
"IIIIIIZIIIZ",
"IIZIZIIIIII",
"IIZIIIIIZII",
"IIIIZIIIIZI",
"IIIIIIIIZZI",
"IIIZIIIIIZI",
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIZIIIIIIZI",
"IZIIZIIIIII",
"IZIZIIIII... | [
0.5833333333333334,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.5,
0.5,
0.08333333333333333,
0.5,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.5,
0.16666666666666666,
... | 0.971186 | [
1.457522803428682,
-0.02118821110231735,
-0.0011559571088527315,
1.431570371551604,
2.9754219972420133,
0.4628421120785654,
2.5162082123447855,
-0.316387038056016,
0.027914387522628606,
1.8825566224421055,
0.7645023787418683,
1.4383052873385325,
1.4325229021978565,
1.460773686407587,
0.0... | {
"n_parameters": 47,
"n_qubits": 11,
"optimal_eigenvalue": -5.250000000000001,
"target_ratio": 0.97,
"target_value": -5.092500000000001
} | 15 |
513c00093dea827c03c59c65710798db | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [74, 42], "expectation_value": -2.1933425632479793, "params": [[0.5750000000000001, 0.6034, 0.0029000000000000002, 0.6028, 0.22640000000000002, 0.6076, 0.0028], [0.5992000000000001, 0.6014, 0.0027, 0.6025, 0.317, 0.6025, 0.0026000000000000003], [0.4983, 0.5899, 0.0029000000000000002, 0.607, 0.2858, 0.604, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(6) @ Z(5)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.75 * Z(2) + -0.25 * Z(... | 10 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010101", "0111001"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.37077761555759625) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.37077761555759625) q[5];
cx q[0], q[5];
rz(0.03009543590334829) q[0];
rx(1.2688047511317464) q[0];
h q[6];
cx q[3], q[6];
rz(-0.370777615557... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZZIII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIZIIZ",
"IIZIIZI",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.5,
-0.75,
-0.25,
-0.5,
0,
-0.75
] | 0.7778 | [
-0.37077761555759625,
0.9066675348977866,
0.03009543590334805,
-0.8005422509188833,
1.2688047511317466,
-0.9186314981035741,
0.8070252633421148,
0.5332769516375501,
0.6583745163391305
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 229 |
8516997533418799677 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 3], [0, 1, 2], [0, 1, 3], [2, 4], [3, 4, 6], [0, 4], [3, 5], [0, 6], [2, 5, 6], [1, 4, 5], [1, 2, 5]]} | {"states": [45, 39], "expectation_value": -0.16151281403002002, "params": [[0.08080000000000001], [-0.0879]], "bitstrings": ["1010010", "1011000"], "total_optimization_steps": 10, "probabilities": [0.009067484791595136, 0.009070520475900443], "optimization_time": 0.7401580810546875} | 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(4) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.000000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["1011000"], "largest_eigenvalue": 9.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.7192567772801893) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.07459052155410345) q[3];
cx q[2], q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(-0.07459052155410345) q[0];
cx q[2], q[0];
rz(0.15894804323605355) q[3];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIIZZII",
"IIIZIZI",
"IIIIZIZ",
"IIIIIZZ",
"IIIZIIZ",
"IIZIZII",
"IIZIIZI",
"IIZZIII",
"IIZIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IZIIZII",
"IZIIIZI",
"IZIZIII",
"IZZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"ZII... | [
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.5,
0.1666666... | 0.587432 | [
0.7192567772801893,
-0.07459052155410345,
0.15894804323605355,
-0.005104027991294466,
1.0377071784430674,
-0.831266488780881
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -3.000000000000001,
"target_ratio": 0.97,
"target_value": -2.9100000000000006
} | 152 |
7c42f5cbaf3924d31d7b57a9c6bb4341 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capaci... | {"states": [7902, 3806], "expectation_value": -17.313417734462647, "params": [0.6194000000000001, -0.018000000000000002, 0.5253, 0.1524, -0.5126000000000001, -0.021, -0.4697, 0.0309, -0.7679, -0.008700000000000001, -0.7537, -0.0066, 0.7785000000000001, -0.025, 0.7618, -0.0162, -0.1003, 0.0794, -0.3149, 0.0298, 0.685700... | 0.5 * (Z(5) @ Z(10)) + 2.0 * (Z(11) @ Z(10)) + 1.0 * (Z(11) @ Z(5)) + 0.5 * (Z(6) @ Z(10)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(11)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(10)) + -1.0 * (Z(4) @ Z(11)) + -0.5 * (Z(4) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 2.0 * (Z(8) @ Z(7)) + -... | 6 | 13 | 2 | {"smallest_eigenvalues": [-17.7, -17.7, -17.7, -17.7], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -17.5, "smallest_bitstrings": ["1000100100001", "0010000000001", "1000000001001", "0001000000001"], "largest_eigenvalue": 61.50000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
ry(0.6083128533175811) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.5433802547305959) q[3];
cx q[2], q[3];
ry(0.5433802547305959) q[3];
cx q[2], q[3];
ry(-0.12424007866959128) q[2];
cx q[3], q[2];
ry(0.12424007866959128) q[2];
cx q[3], q[2];
ry(-0.23321258548325835) q[3... | 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": 5} | {"circuits": [], "gradients": []} | [
"IIZIIIIZIIIII",
"IZZIIIIIIIIII",
"IZIIIIIZIIIII",
"IIZIIIZIIIIII",
"IIIIIIZZIIIII",
"IZIIIIZIIIIII",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIZIIIIIZIIII",
"IZIIIIIIZIIII",
"IIIIIZIIZIIII",
"IIIIZIIZIIIII",
"IIIIZIZIIIIII",
"IIIIZZIIIIIII",
"IIIIZIIIZIIII",
"IIIIIIIZIIIIZ",
"IIIIIIZIIII... | [
0.5,
2,
1,
0.5,
1,
1,
0.5,
0.5,
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-1,
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1,
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0.8,
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0.5,
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0.5,
0.5,
0.4,
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1,
-0.5,
-0.5,
-0.5,
-0.5... | 0.970096 | [
0.7477673644688541,
0.9613846404015145,
0.02252293532538234,
1.5616557246565106,
0.9542620641413359,
1.6119115251631717,
1.8023138374237322,
0.001050069666346673,
1.4367050094327156,
1.3726695543954694,
0.5003227925975694,
-1.5038302062652915,
1.666993785983208,
1.3206167549388435,
0.401... | {
"n_parameters": 67,
"n_qubits": 13,
"optimal_eigenvalue": -17.7,
"target_ratio": 0.97,
"target_value": -17.169
} | 5 |
d0cf443e701d6863baf077a7ace5620a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 9, "source": 2, "target": 3}, {"weight": 12, "source": 3, "target": 8}, {"weight": ... | {"states": [490, 234], "expectation_value": -91.49611097966526, "params": [0.0016, 0.3074, 0.0012000000000000001, 0.3078, 0.18330000000000002, 0.09670000000000001, 0.18860000000000002, 0.0941, 0.39530000000000004, 0.0181, 0.3937, 0.0263, 0.39230000000000004, 0.003, 0.38820000000000005, 0.0001, 0.3957, 0.0002, 0.3895, 0... | 5.5 * (Z(1) @ Z(4)) + 5.5 * (Z(2) @ Z(4)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(9) @ Z(8)) + 17.0 * Z(4) ... | 7 | 10 | 4 | {"smallest_eigenvalues": [-104.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.0, "smallest_bitstrings": ["1100010101"], "largest_eigenvalue": 189.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.13643567069367527) q[0];
rz(0.388773470449423) q[0];
rx(0.3150325322124885) q[1];
rz(0.028131338010074336) q[1];
cx q[1], q[0];
rz(0.13975547723755088) q[0];
cx q[1], q[0];
rz(-1.7430149451461632) q[0];
ry(0.13302614276909822) q[0];
rz(2.731507431600777) q[0];
rx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZI",
"IIIIIZIZII",
"IIIIIIIZZI",
"IIIIIZZIII",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"IIIIIZIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
17,
10,
16.5,
26,
8,
13.5,
2,
10,
0.5,
-8.5
] | 0.973049 | [
0.13643567069367527,
0.5285289476869741,
0.3150325322124885,
0.028131338010074336,
0.39389618183113506,
0.22043744153270747,
0.3189007639166758,
0.042376704479650515,
0.566952593244557,
0.00008318827405244533,
0.4065334553839868,
0.2527012067694072,
-0.048920137558694406,
0.001470212870969... | {
"n_parameters": 137,
"n_qubits": 10,
"optimal_eigenvalue": -104,
"target_ratio": 0.97,
"target_value": -100.88
} | 9 |
9e8a866d2c0011b6946d4c64e758f31c | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 17, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [188, 124], "expectation_value": -37.8184138275246, "params": null, "bitstrings": ["01000011", "10000011"], "total_optimization_steps": 100, "probabilities": [0.1356070492565516, 0.23366831123903148], "optimization_time": 192.54503464698792} | 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(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(0)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 159.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0097347073373075) q[0];
rz(-0.14101462084387117) q[0];
rx(-0.38750982357956676) q[1];
rz(-0.3057211553890907) q[1];
cx q[1], q[0];
rz(0.13275230381341913) q[0];
cx q[1], q[0];
rx(1.3782189303544248) q[0];
rz(-0.29267031617775396) q[0];
rz(-0.09789635874452761) q[1]... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(9.9081) q[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[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
15.5,
12,
15.5,
16.5,
19.5,
16,
4.5,
3.5
] | 0.971229 | [
1.0097347073373075,
-0.008262317030451896,
-0.38750982357956676,
-0.3057211553890907,
1.2302795857067115,
-0.013592108438004277,
1.1428987618315947,
0.21610326377545203,
-0.0945257361764085,
0.05751696828617267,
1.1584777199858318,
-0.024575436526478617,
1.269911032440262,
0.08978829929159... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 20 |
9e3fd441307ea46e321a51e29b173f1a | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [239, 511], "expectation_value": -15.642131759604682, "params": null, "bitstrings": ["11100010000", "11000000000"], "total_optimization_steps": 100, "probabilities": [0.10389550088160228, 0.6207979075228155], "optimization_time": 250.60188579559326} | 2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(10) @ Z(6)) + 1.0 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(6)) + -... | 1 | 11 | 3 | {"smallest_eigenvalues": [-17.25, -17.25, -17.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -16.25, "smallest_bitstrings": ["11100010000", "11000000000", "11010010000"], "largest_eigenvalue": 55.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.000890822842480871) q[0];
rz(pi/2) q[0];
ry(-0.15670603725100302) q[1];
ry(-0.20648486180727027) q[2];
ry(0.45144887671116174) q[3];
ry(0.34931390918915306) q[4];
ry(0.14890652132398377) q[5];
ry(0.14818692661575433) q[6];
ry(0.44502625653055666) q[7];
ry(0.424953... | null | {"source": 0, "sink": 5} | {"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(-0.0267) 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] = m... | [
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIZIIZII",
"IIIIIIZIZII",
"IIIIZIIIZII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"IIIIIZIZIII",
"IIIIIIZZIII",
"IIIIZIIZIII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IIIIIIIZZII",
"IIIZIZIIIII",
"IIIZIIZII... | [
2,
1,
0.5,
0.5,
0.5,
1,
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-1,
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2,
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1,
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8,
4,
3,
1.5,
1.5,
-3,
-3,
2.5,
5,
-0.5,
-0.5
] | 0.971849 | [
0.000890822842480871,
-0.15670603725100302,
-0.20648486180727027,
0.45144887671116174,
0.34931390918915306,
0.14890652132398377,
0.14818692661575433,
0.44502625653055666,
0.4249533755281996,
0.25680042464988484,
0.4419502268595168,
0.1799489528204672,
-0.37170555535813404,
-0.0445425003681... | {
"n_parameters": 129,
"n_qubits": 11,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 11 |
c0497b20d0e680cacc77174a13e8b8b4 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [49, 35], "expectation_value": -0.4462489356017779, "params": [[0.0648, 0.07590000000000001], [-0.0649, -0.0755]], "bitstrings": ["1001110", "1011100"], "total_optimization_steps": 10, "probabilities": [0.010546958167669498, 0.010546958167669505], "optimization_time": 3.357537031173706} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(6) + 0.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["1011100", "0011101", "0111001", "1001110", "0001111", "0101011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.0034026311700899) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-0.0034026311700899) q[0];
cx q[6], q[0];
rz(0.08707718680774468) q[0];
rx(1.6068609355902328) q[0];
cx q[6], q[4];
rz(-0.00340263117008... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZ",
"IIIZIZI",
"ZIZIIII",
"IIZZIII",
"IIZIIZI",
"IIIZZII",
"IZIZIII",
"IZIIZII",
"ZIIIIII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
-0.5,
-1,
-0.5,
-0.5
] | 0.970369 | [
-0.0034026311700899,
-0.26301475790782497,
0.08707718680774458,
1.5595170852256997,
1.5988629064548665,
1.6068609355902328,
-1.5706328661308941,
1.6822012540344695,
-0.1845861633258411,
1.1352603352915303,
0.43534770012848195,
-0.05375233225482663,
-0.1953687365154703,
3.189745870967778,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 166 |
6509202438049210650 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 5], [0, 3, 6], [2, 3, 5], [0, 5], [0, 7], [3, 4]]} | {"states": [240, 23], "expectation_value": -0.06952884885644639, "params": [[-0.0854], [0.08070000000000001]], "bitstrings": ["00001111", "11101000"], "total_optimization_steps": 10, "probabilities": [0.004399169949858719, 0.004399452568203951], "optimization_time": 0.7232024669647217} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["00001111", "11101000"], "largest_eigenvalue": 4.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.28543953006864703) q[1];
cx q[3], q[1];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.07900163309624209) q[5];
cx q[3], q[5];
cx q[1], q[5];
cx q[3], q[0];
rz(-0.28543953006864703) q[0];
cx q[3], q[0];
rz(-0.28543953006864703)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[5];
rz(x1) q[5];
cx q[3], q[5];
cx q[1], q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZI",
"IIZIZIII",
"IIZIIIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IZIIZIII",
"IZIIIIIZ",
"IIIIZZII",
"IIZIIZII",
"ZIIIIIIZ",
"IIIZZIII",
"IIIIZIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"ZIIIIIII",
"IIIZIIII"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.3333333333333335,
0.16666666666666674,
0.16666666666666666,
0.166666666666... | 0.543631 | [
-0.28543953006864703,
-0.07900163309624209,
-0.9593928921561213,
0.5379648686516204,
0.860264289868096
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 136 |
66b128262b8b8ee59605a98d8b63bbdd | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "ta... | {"states": [0, 112], "expectation_value": -17.6773442020227, "params": [1.0415, 0.8777, 0.004, -0.0036000000000000003, 0.0269, -0.017400000000000002, 0.0035, -0.0079, -0.0025, -0.0025, -0.0025, -0.0025, 0.0004, -0.005, -1.336, -0.4824, 1.3646, 0.0046, 1.4769, 2.0043, 0.11800000000000001, 2.0057, -0.0114, -0.0008, 1.524... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(5) + 1.5 * Z(3) + -2.0 * Z(6) + -1.5 * Z(4) | 14 | 7 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0001111"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.6741509527557863) q[0];
rz(1.180181324857263) q[0];
rx(-0.677201631943732) q[1];
rz(2.270348142888958) q[1];
rx(-0.67869283016957) q[2];
rz(1.7507597624722813) q[2];
rx(-0.08788335748374992) q[3];
rz(2.254323657422198) q[3];
rx(0.12866765222860715) q[4];
rz(2.61483... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZIZIII",
"ZZIIIII",
"ZIIZIII",
"IZZIIII",
"IIZZIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
-1.5,
-1.5,
0.5,
-2.5,
-2.5,
-2.5,
-2.5,
1,
-2.5,
0.5,
0.5,
0.5,
-2,
1.5,
-2,
-1.5
] | 0.973192 | [
0.6741509527557862,
-0.39061500193763365,
-0.6772016319437321,
0.6995518160940616,
-0.67869283016957,
0.17996343567738385,
-0.08788335748374991,
0.6835273306273011,
0.12866765222860718,
1.0440338562475437,
-0.028967045105453143,
0.9676952915365993,
-0.0698180477930957,
1.176882747446405,
... | {
"n_parameters": 63,
"n_qubits": 7,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 36 |
f490a28ecdd83f85cb7689547a0eb0f1 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 2, "target": 5}, {"weight": 1, "... | {"states": [1386, 2709], "expectation_value": -0.015067785478603131, "params": [[0.0757], [-0.06720000000000001]], "bitstrings": ["101010010101", "010101101010"], "total_optimization_steps": 10, "probabilities": [0.00025936385233561146, 0.0002593638523356115], "optimization_time": 6.104593276977539} | 0.25 * (Z(0) @ Z(1)) + -0.0015625 * (Z(2) @ Z(0)) + -0.0015625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010416666666666667 * (Z(4) @ Z(0)) + 0.00034722222222222224 * (Z(4) @ Z(2)) + -0.0010416666666666667 * (Z(5) @ Z(1)) + 0.00034722222222222224 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005208333333333333 * (Z(6... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5131944444444443], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5131944444444438, "smallest_bitstrings": ["010101101010"], "largest_eigenvalue": 1.5201388888888894} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.4559220094194139) q[1];
ry(-0.12411763596727048) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4736134322386227) q[3];
ry(-0.031683301563526195) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.5472362963496462) q[5];
cx q[0], q[5];
ry(0.5472362963496462) q[5];
cx q[0], q[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;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0015625,
-0.0015625,
0.25,
-0.0010416666666666667,
0.00034722222222222224,
-0.0010416666666666667,
0.00034722222222222224,
0.25,
-0.0005208333333333333,
0.0005208333333333333,
0.0010416666666666667,
-0.0005208333333333333,
0.0005208333333333333,
0.0010416666666666667,
0.25,
... | 0.991196 | [
-1.582323973277357,
-1.3643355409729596,
1.4736134322386227,
1.4559220094194139,
-1.0944725926992924,
0.7522403135211317,
-0.3532284044695118,
0.4812526455354951,
-0.22809332507390656,
0.3572804273733394,
-0.1631535345356533,
-0.16468629970933335,
0.1857552217475515,
0.08779101460740774,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
1dd52cb9dd602cf4736096516b4b8baf | 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": [303, 295], "expectation_value": -76.59349855956498, "params": [0.8953000000000001, 0.0528, 0.0035, 0.534, 0.2722, -0.3171, 0.9023, 0.0522, 0.0054, 0.49710000000000004, 0.46290000000000003, -0.2351, 0.903, -0.012, 0.8932, 0.0014, 0.8989, 0.0031000000000000003, 0.9039, 0.0891, 0.0032, 0.5381, 0.2803, -0.3174,... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(2) @ Z(6)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(8) @ Z(2)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(7) @ Z(8)) + 19.0 * Z(0) + -4.0 * Z(1) + 19.5 * Z(3) + -4.0 * Z(4) + ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["011011000"], "largest_eigenvalue": 154.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.025048447294055) q[0];
rz(0.3103301228941131) q[0];
rx(-0.009337071739292775) q[1];
rz(0.7328920915664585) q[1];
rx(0.07707364564833333) q[2];
rz(-0.29882822121061514) q[2];
rx(1.2177366018199631) q[3];
rz(0.16766746396510235) q[3];
rx(0.22140847102532188) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIZIIIZII",
"ZIZIIIIII",
"ZIIIIIZII",
"IZIIIIIIZ",
"IZIIIZIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
19,
-4,
19.5,
-4,
7,
9,
1.5,
14,
20
] | 0.979809 | [
1.025048447294055,
0.22602615245606045,
-0.009337071739292775,
0.7328920915664585,
0.07707364564833333,
-0.29882822121061514,
1.2177366018199631,
0.16766746396510235,
0.22140847102532188,
0.46018361796900253,
0.10077001651051122,
-0.24829869334544147,
0.9766498117552977,
0.2081733816755590... | {
"n_parameters": 78,
"n_qubits": 9,
"optimal_eigenvalue": -93,
"target_ratio": 0.97,
"target_value": -90.21
} | 8 |
ad2c8808e4e24f79d1ce4f9a8d64bbe1 | 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": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [0, 61], "expectation_value": -6.867576546358282, "params": [-0.011000000000000001, 1.6434, 0.0046, 0.9581000000000001, -0.0061, 0.18810000000000002, 0.0024000000000000002, 0.27490000000000003, -0.3665, 0.887, -0.3231, 0.5717, -0.332, 0.3715, -0.38970000000000005, 0.4863, -0.27590000000000003, 0.324300000000... | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ ... | 6 | 8 | 4 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["11000010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.014854315310046964) q[0];
ry(-0.03729676010121815) q[1];
rz(-pi) q[1];
h q[2];
ry(0.8055963103906512) q[2];
h q[3];
ry(1.5413867232941334) q[3];
h q[4];
ry(0.8055963103906512) q[4];
cx q[3], q[4];
ry(-0.8055963103906512) q[4];
cx q[3], q[4];
h q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIZIIIZI",
"ZIZIIIII",
"IZIIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IIIIZIZI",
"ZIIIZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIZIIII",
"IIZZIIII",
"IZIZIIII",
"IIIZIZII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZI... | [
-0.5,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.25,
0.25,
-0.75,
-0.25,
1.25,
1
] | 0.998931 | [
1.5413867232941334,
1.6111926207813023,
1.5582303119186558,
1.5849264559127798,
-1.5965526985559542,
-1.4420256266999978,
-1.5801916192047236,
-0.18294787998736117,
-0.01192451884967978,
0.04787332815945153,
0.021804112902021354,
0.06662708175304768,
0.08666792215002461
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 1 |
8292612205294179782 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3, 4, 7], [5, 6], [2, 6, 7], [0, 8, 3, 6], [2, 3, 4, 5, 7, 8], [1, 4, 6], [1, 3, 4, 5], [8, 3, 4, 6]]} | {"states": [229, 167], "expectation_value": -0.36980299902260594, "params": [[0.1804], [-0.1796]], "bitstrings": ["100011010", "101011000"], "total_optimization_steps": 20, "probabilities": [0.0028761012582124634, 0.0028761012582124647], "optimization_time": 8.1274254322052} | 0.05 * (Z(1) @ Z(2)) + 0.08333333333333334 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333334 * (Z(4) @ Z(2)) + 0.3 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(1)) + 0.08333333333333334 * (Z(7) @ Z(3)) + 0.08333333333333334 * (Z(7) @ Z(4)) + 0.03333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.1333333333333333, -2.1333333333333333, -2.1333333333333333, -2.1333333333333333], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.116666666666667, "smallest_bitstrings": ["100011010", "011001001", "010001011", "101011000"], "largest_eigenvalue": 7.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.9973003933496545) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.31454742098205946) q[1];
ry(-2.4665988410888393) q[2];
rz(-pi) q[2];
ry(-2.881673553689653) q[3];
rz(-pi) q[3];
h q[4];
ry(1.642740876824781) q[4];
h q[5];
ry(-0.5902808362583392) q[5];
h q[6];
ry(1.4293947128569... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"IIIZIIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IZIZIIIII",
"IIZIIIZII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IZZIIIIII",
"IIZZIIIII",
"... | [
0.05,
0.08333333333333334,
0.13333333333333333,
0.08333333333333334,
0.3,
0.25,
0.25,
0.05,
0.08333333333333334,
0.08333333333333334,
0.03333333333333333,
0.08333333333333333,
0.11666666666666667,
0.11666666666666667,
0.03333333333333333,
0.16666666666666666,
0.16666666666666666,
0... | 0.975709 | [
1.642740876824781,
1.4293947128569129,
-1.1805616725166783,
1.15589624236299,
0.26274658961985975,
-0.2747717228263329,
0.30996196906353274,
-0.6290948419641189,
-0.696493852745355,
-0.27591897044656893,
0.634257348932882,
-0.39176524016193,
0.5230903307221213,
-0.558702302963458,
0.3227... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -2.1333333333333333,
"target_ratio": 0.97,
"target_value": -2.0693333333333332
} | 1 |
87224c590a6c623e4385c63f6a5a56ea | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [0, 27], "expectation_value": -3.4872913638406473, "params": [0.3269, 0.6262, 0.3017, 0.6366, 0.33840000000000003, 0.5239, 0.3034, 0.6341, -0.3023, 0.2207, -0.2652, 0.434, -0.3568, 0.5563, -0.3381, 0.6404000000000001, -0.35350000000000004, 0.5732, -0.3297, 0.6532, 0.2904, 0.632, -0.2987, 0.5523, 0.2945000000... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + -0.5 * Z(2) | 6 | 5 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["00100"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(0.822243038742368) q[0];
rz(3.125872941516012) q[0];
rx(0.17974168344967256) q[1];
rz(1.949880926627925) q[1];
rx(-0.41477122068286326) q[2];
rz(2.8554970925143763) q[2];
rx(-0.8755271994602615) q[3];
rz(1.8212531758931725) q[3];
rx(-0.7064676113500707) q[4];
rz(0.71... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZZIII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IZIII",
"IIZII"
] | [
-1,
-1,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970003 | [
0.822243038742368,
1.5550766147211155,
0.1797416834496726,
0.37908459983302883,
-0.4147712206828633,
1.2847007657194796,
-0.8755271994602616,
0.25045684909827637,
-0.7064676113500707,
0.7160535821608828,
0.5186655708969602,
-0.1118533432386061,
-0.35466960996538094,
-0.6054146290312105,
... | {
"n_parameters": 100,
"n_qubits": 5,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 153 |
d335d344da78456c467f5a7e06677868 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [265, 269], "expectation_value": -8.073192717581945, "params": [1.6122, 0.00030000000000000003, -0.0201, 0.003, -0.0023, 0.0043, 0.0011, 0.0014, -0.0037, 0.0053, 1.6095000000000002, 0.0027, 1.604, 0.0005, 0.0012000000000000001, 0.00030000000000000003, 1.6043, 0.0018000000000000002, 0.005, 0.0098, 0.004200000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["011110010"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-2.885415456934208) q[0];
rz(-0.173422783467716) q[0];
rx(0.06441936096145225) q[1];
rz(-0.12344734115352773) q[1];
rx(-0.04654987129151389) q[2];
rz(0.8892050610959394) q[2];
rx(-0.11066405891029252) q[3];
rz(-0.36181467051221716) q[3];
rx(-0.11352504879689383) 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": []} | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIIZIIZI",
"IIIIIZZII",
"IIIIZZIII",
"IIIIIZIZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIIIZI",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-2.5,
-2,
-2.5,
-1.5,
-0.5,
-2,
-2.5
] | 0.987471 | [
3.397769850245379,
-0.05097080009987083,
0.06441936096145225,
0.06699757997634005,
-0.046549871291513896,
0.8228410058519645,
-0.11066405891029252,
-0.3601199260380509,
-0.11352504879689382,
-0.7587679672024403,
2.6278643703118,
0.49248602591518875,
2.931109382239383,
0.3967084839325517,
... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 16 |
788893f2d0502b688315a8e438b63984 | 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": 6, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 7, "s... | {"states": [253, 255], "expectation_value": -8.416181428221824, "params": null, "bitstrings": ["100000010", "100000000"], "total_optimization_steps": 100, "probabilities": [0.18559397922120133, 0.2781558327462927], "optimization_time": 234.59290552139282} | -0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(0)) + 4.25 * (Z(8) @ Z(0)) + -1.5 * (Z(8) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.75 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -1.5 * (Z(7) @ Z(6)) + -1.75 * (Z(7) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-22.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 21.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.2093917706819032) q[0];
ry(0.04127060081754783) q[1];
ry(-0.019569081278429344) q[2];
ry(-0.019569081278429344) q[3];
ry(0.02197258751737647) q[4];
ry(0.007840515537099434) q[5];
ry(0.017628468198506612) q[6];
ry(-0.16118253539208177) q[7];
ry(1.187256182683395) q[... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(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] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIIIIZI",
"IZIIIIZII",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIIZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZZIIIII",
"ZIIZIIIII",
"IIIZIZIII",
"... | [
-0.5,
-1.5,
-1.5,
-0.25,
-0.5,
-1.75,
4.25,
-1.5,
-0.75,
-1,
-1.75,
-0.5,
-1.5,
-1.75,
-1.75,
-1.5,
-1,
-1,
-1.25,
-1,
-1.5,
-2.25,
-2.5,
-0.25,
-1.5,
0.75,
2.5,
0,
0.5,
1,
-0.5
] | 0.970357 | [
0.2093917706819032,
0.04127060081754783,
-0.019569081278429344,
0.02197258751737647,
0.007840515537099434,
0.017628468198506612,
-0.16118253539208177,
1.187256182683395,
-0.443443102884173,
0.006207324591877363,
-0.005541982139036582,
-0.03896894827650145,
-0.01956509030862061,
-0.00227828... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -22.75,
"target_ratio": 0.97,
"target_value": -22.0675
} | 56 |
1945c14bbcec92b7e4f7655d5da7795f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [254, 127], "expectation_value": -2.0077975380042528, "params": [[0.0601, 0.0717, 0.0641], [-0.035500000000000004, -0.059800000000000006, -0.0611]], "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 10, "probabilities": [0.010215143460301734, 0.010619159581642], "optimization_time": 11.2619... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["10000000", "11111110", "10011010", "10111110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7829208339556055) q[0];
h q[1];
h q[2];
ry(-1.565841667911211) q[2];
h q[3];
ry(-1.565841667911211) q[3];
h q[4];
ry(-1.6049620459691951) q[4];
ry(-0.02737154603416445) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.5671790015514286) q[6];
h q[7];
cx q[7], q[0];
ry(0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIZII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IIIIIZZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZIZI",
"ZIIIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
-0.75,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.75,
-0.75,
2,
-0.5,
-0.5,
-0.25,
-0.25,
0,
1.5,
-0.5,
1.25,
-2,
0.25
] | 0.971076 | [
-1.565841667911211,
-1.5671790015514286,
-1.6049620459691951,
0.6420941017453372,
-0.27825456102521207,
0.670535929579305,
-0.3414240103559716,
-1.3886537724625685,
-0.8050574439941292,
-0.281509916078036,
-0.3095420165963274,
-0.05839965564258676
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 4 |
8400dfc59c687750e53928e5f0a8ca8d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 6}, {"capac... | {"states": [0, 511], "expectation_value": -1.7184643867130278, "params": [[-0.0656], [0.0565]], "bitstrings": ["1111111111", "1000000000"], "total_optimization_steps": 20, "probabilities": [0.0016990961040111894, 0.0017127344690652524], "optimization_time": 3.5831656455993652} | -1.25 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + -2.0 * (Z(6) @ Z(2)) + -0.75 * (Z(9) @ Z(1)) + 1.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(2)) + -1.5 * (Z(9) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(9)) + -0.5 * (Z(8) @ Z(1)) + -1.5 * (Z(8) @ Z(2)) + -1.75 * (Z(8) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-26.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 26.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.08957962352499253) q[0];
ry(0.2037516946214518) q[1];
ry(-0.09877152810391529) q[2];
ry(0.030775074362227636) q[3];
ry(-0.004978525185395981) q[4];
ry(-0.09652404336030149) q[5];
ry(0.07886397654307031) q[6];
ry(-0.09877152810391529) q[7];
ry(0.05318018898971929)... | OPENQASM 3.0;
include "stdgates.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... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIZIIIIZI",
"IIIZIIIZII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIZIIIIII",
"IIIIIIZZII",
"IIIZIIZIII",
"ZIIIIIZIII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IZIIIIZIII",
"IIIZIZIIII",
"IZIIIZIIII",
"IIIIZIIIZI",
"IIIZZIIIII"... | [
-1.25,
-2.5,
-0.75,
-2,
-0.75,
1.5,
-0.75,
-1.5,
-1.5,
-1.25,
-0.75,
-0.5,
-1.5,
-1.75,
-1.25,
-1.5,
-1.5,
-1,
-1,
-1.75,
-0.25,
-1,
-0.75,
-0.75,
-0.25,
-2.75,
0.25,
-3.5,
4,
3,
-1.5,
1,
0.5
] | 0.971063 | [
-0.08957962352499253,
0.2037516946214518,
-0.09877152810391529,
0.030775074362227636,
-0.004978525185395981,
-0.09652404336030149,
0.07886397654307031,
0.05318018898971929,
2.1593256825826113,
0.011575758826274728,
-0.01573785635466554,
0.035353900188569015,
0.005392259967599903,
0.0055252... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -26.25,
"target_ratio": 0.97,
"target_value": -25.4625
} | 25 |
4426156142540857195 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6, 7], [1, 2], [2, 5, 7], [0, 5], [4, 6], [2, 3], [0, 3, 6], [5, 6], [0, 2], [0, 1, 6], [1, 3]]} | {"states": [147, 195], "expectation_value": -2.863021536026919, "params": null, "bitstrings": ["01101100", "00111100"], "total_optimization_steps": 49, "probabilities": [0.1350359148858828, 0.6798506192264513], "optimization_time": 63.821324825286865} | 0.3333333333333333 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.166... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["00111100"], "largest_eigenvalue": 7.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(-0.2692984284685138) q[1];
h q[2];
h q[3];
cx q[3], q[1];
ry(0.2692984284685138) q[1];
cx q[3], q[1];
ry(0.713407468122499) q[1];
ry(-0.2051665426495816) q[3];
cx q[2], q[3];
ry(0.2051665426495816) q[3];
cx q[2], q[3];
ry(-0.010255268609112224) q[3];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[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[... | [
"IZIIZIII",
"ZZIIIIII",
"ZIIIZIII",
"IZIIIIZI",
"IIIIZIZI",
"IIIIZZII",
"ZIIIIZII",
"IIIIIZZI",
"IZZIIIII",
"ZIZIIIII",
"IIZIIZII",
"IZIIIIIZ",
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIIZIZ",
"IIZIIIIZ",
"IZIZIIII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIII... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.4999999999999998,
0.333333333333333... | 0.978198 | [
1.3944206365107874,
-1.681400128993806,
-0.4402655802464598,
0.6888502200595191,
-0.4761827950375644,
-0.5385968569370276,
1.2766660466264093,
0.6546605371893921,
-0.31637069216735436,
-0.4103330852991632,
0.713407468122499,
-0.020510537218224448,
0.24164686331313992,
0.3935624772437577,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -3.166666666666666,
"target_ratio": 0.97,
"target_value": -3.071666666666666
} | 27 |
473775bc8d8b4cca680d00f7b64c1aa1 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [44, 41], "expectation_value": -4.996464150018096, "params": null, "bitstrings": ["010011", "010110"], "total_optimization_steps": 25, "probabilities": [0.0663480739860024, 0.9303666439722974], "optimization_time": 17.132969856262207} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["010011", "010110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022388232708840404) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022388232708840404) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022388232708840404) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.022388232708840404) q[3];
cx q[1], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIZI",
"IZIIIZ",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"ZIIIZI",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-2,
-0.5,
-1,
-1
] | 0.970792 | [
0.022388232708840404,
-0.16546972504389865,
1.387189998889542,
1.1317721305414625,
-1.0291416278486831,
1.3553919116902904,
-0.24772195907827305,
-0.6852193775874179,
1.0091668921719015,
0.9126657422045303,
0.15550491965267638,
0.23151516878776346
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 42 |
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": -6.6830394947084635, "params": [0.0027, 0.0023, -1.1251, 1.1311, -0.0019, -0.0018000000000000002, -0.0021000000000000003, -0.0022, -0.0079, -0.0004, 1.5738, 1.5718, -0.0026000000000000003, -0.0022, 3.4202000000000004, -2.6534, 3.6443000000000003, 0.6206, 0.9981000000000001, -1.8... | -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) | 14 | 6 | 1 | {"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 |
8f0cd3e10afb23be120eeba2febc9320 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"sourc... | {"states": [32767, 32705], "expectation_value": -62.6429430208037, "params": [[[0.0029000000000000002, 3.1385], [0.0027, 0.0028], [0.002, -0.0021000000000000003], [-0.002, -0.002], [0.0021000000000000003, 0.0019], [0.0019, 0.0019], [0.0021000000000000003, 0.0019], [0.0023, 0.0018000000000000002], [0.0023, 0.0022], [0.4... | -3.5 * (Z(0) @ Z(3)) + 1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(0)) + -3.5 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -4.0 * (Z(1) @ Z(7)) + -3.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(7)) + -3.5 * (Z(4) @ Z(1)) + -3.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(7)) + -3.0 * (Z(6) @ Z(1)) + -3.0... | 15 | 15 | 1 | {"smallest_eigenvalues": [-65.99999999999994], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.9999999999991, "smallest_bitstrings": ["000000000111110"], "largest_eigenvalue": 60.00000000000003} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(0.034876695599495175) q[0];
ry(0.029295258254450816) q[1];
ry(0.01828349195051531) q[2];
ry(-0.0316249291352574) q[3];
ry(0.027153585008685876) q[4];
ry(-0.0005648198216414669) q[5];
ry(0.027153585008685876) q[6];
ry(0.050232541678707714) q[7];
ry(0.0502325416787077... | OPENQASM 3.0;
include "stdgates.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": 14} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZIIZ",
"IIIIIIIZIIIZIII",
"IIIIIIIZIIIIIIZ",
"IIIIIIIIIIIZIZI",
"IIIIIIIIIIIIIZZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIIIIZZIII",
"IIIIIIIIIIZIIIZ",
"IIIIIIIZIIZIIII",
"IIIIIIIIIIZIIZI",
"IIIIIIIIZIIZIII",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZZIIIIII",
"IIIIIIIIZIIIIZI",
"IIIIIIIIZIZIIII",
"... | [
-3.5,
1,
-3,
-3.5,
1,
-4,
-3.5,
0.5,
1,
-3.5,
-3,
0.5,
0.5,
-3,
-3,
-3.5,
0.5,
0.5,
1.5,
-3.5,
-3,
0.5,
0.5,
-3,
0.5,
1,
0.5,
-3.5,
0.5,
0.5,
-3,
1,
-4,
0.5,
1,
-2.5,
-3,
-3,
-3.5,
0.5,
-2,
0.5,
-2.5,
1,
-3,
1,
0.5,
-3,
... | 0.970511 | [
0.034876695599495175,
0.029295258254450816,
0.01828349195051531,
-0.0316249291352574,
0.027153585008685876,
-0.0005648198216414669,
0.050232541678707714,
0.6855608136579294,
0.024386720635482615,
-0.08638026157141299,
3.174982106849752,
-0.06393550660099474,
-0.007660303988049703,
-0.01964... | {
"n_parameters": 18,
"n_qubits": 15,
"optimal_eigenvalue": -65.99999999999994,
"target_ratio": 0.97,
"target_value": -64.01999999999994
} | 46 |
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": -83.58022200043516, "params": [2.4025000000000003, 0.0091, 0.9213, 0.0026000000000000003, -0.0026000000000000003, 0.0037, 0.0026000000000000003, 0.0034000000000000002, 2.3976, 0.0031000000000000003, -0.003, 0.0022, 0.8251000000000001, 0.0007, 2.4033, 0.0058000000000000005, ... | 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 * ... | 18 | 11 | 1 | {"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 |
9e8a866d2c0011b6946d4c64e758f31c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [246, 182], "expectation_value": -1.4179072006327567, "params": [1.0028000000000001, -0.1273, 0.7704000000000001, -0.1525, 0.9994000000000001, -0.12560000000000002, 1.0035, -0.225, 0.35650000000000004, -0.33240000000000003, 0.9994000000000001, 0.2129, 0.9944000000000001, 0.2169, 0.0023, 0.6752, 0.9989, 0.007... | 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... | 18 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["01001001", "10000011"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0097347073373075) q[0];
rz(-0.14101462084387117) q[0];
rx(-0.38750982357956676) q[1];
rz(-0.3057211553890907) q[1];
cx q[1], q[0];
rz(0.13275230381341913) q[0];
cx q[1], q[0];
rx(1.3782189303544248) q[0];
rz(-0.29267031617775396) q[0];
rz(-0.09789635874452761) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIIZIIIZ",
"IIZIIIZI",
"IZIIIIZI",
"IZZIIIII",
"IZZIIIZI",
"IIZIIZII",
"ZIIIIZII",
"ZIZIIIII",
"ZIZIIZII",
"IIIZZIII",
"IZIIZIII",
"IZIZIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.125,
0.125,
0.125,
0.125,
-0.25,
0,
0,
-0.75
] | 0.971229 | [
1.0097347073373075,
-0.008262317030451896,
-0.38750982357956676,
-0.3057211553890907,
1.2302795857067115,
-0.013592108438004277,
1.1428987618315947,
0.21610326377545203,
-0.0945257361764085,
0.05751696828617267,
1.1584777199858318,
-0.024575436526478617,
1.269911032440262,
0.08978829929159... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 20 |
56e34af205e5dd92b84910e936583f99 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [35413, 43605], "expectation_value": -0.1250870867887584, "params": [0.8927, 0.1375, 0.8868, 0.0024000000000000002, 0.7202000000000001, 0.16010000000000002, 0.6930000000000001, 0.006900000000000001, 0.8779, 0.1448, 0.8583000000000001, 0.0057, 0.7667, 0.1507, 0.7136, 0.0076, 0.864, -0.0698, 0.8543000000000001... | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006875000000000002 * (Z(4) @ Z(0)) + 0.000375 * (Z(4) @ Z(2)) + -0.0006875000000000002 * (Z(5) @ Z(1)) + 0.000375 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005000000000000001 * (Z(6) @ ... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.01762499999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0176249999999487, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0146249999999837} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.534118864284698) q[0];
rz(0.053600456200255664) q[0];
rx(-0.066431778482566) q[1];
rz(0.10671910908302884) q[1];
rx(1.0241502585201754) q[2];
rz(-0.014573254080948672) q[2];
rx(0.002829672745504775) q[3];
rz(1.0502640070447233) q[3];
rx(2.434022032962992) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0008749999999999999,
-0.0008749999999999999,
0.25,
-0.0006875000000000002,
0.000375,
-0.0006875000000000002,
0.000375,
0.25,
-0.0005000000000000001,
-0.00075,
-0.0005000000000000001,
-0.0005000000000000001,
-0.00075,
-0.0005000000000000001,
0.25,
0.0001875,
0.0001250000000... | 0.97298 | [
1.534118864284698,
0.024115119448355163,
-0.06643177848256597,
0.08597448191784926,
1.0241502585201754,
0.01149165564798767,
0.0028296727455047743,
0.7839682344753336,
2.434022032962992,
-0.10658199403695008,
-0.1153613283313035,
-1.3000044165385516,
2.2530885455493195,
0.03274595733083363... | {
"n_parameters": 79,
"n_qubits": 16,
"optimal_eigenvalue": -2.01762499999995,
"target_ratio": 0.97,
"target_value": -1.9570962499999516
} | 165 |
c502b67eb6d91d909ba398fa39bec60c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [20, 23], "expectation_value": -3.499934076181417, "params": null, "bitstrings": ["01011", "01000"], "total_optimization_steps": 19, "probabilities": [1.3833501308055688e-05, 0.9999481856908635], "optimization_time": 8.996371269226074} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(-0.057394609977100594) q[0];
ry(1.5139044986832286) q[1];
ry(0.02914218421175388) q[2];
ry(-0.044368933537627414) q[3];
ry(1.4230068144719492) q[4];
ry(-0.11603950978641897) q[5];
ry(-0.5094548802261205) q[6];
ry(0.04971594069488461) q[7];
ry(0.04895829829331563) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IZIZI",
"ZIIZI",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
0,
0,
0
] | 0.971723 | [
-0.057394609977100594,
1.5139044986832286,
0.02914218421175388,
-0.044368933537627414,
1.4230068144719492,
-0.11603950978641897,
-0.5094548802261205,
0.04971594069488461,
0.04895829829331563,
-0.1877934380534667,
1.2428533808206035,
0.09499352879649384,
2.05426296872183,
0.0193934036593824... | {
"n_parameters": 30,
"n_qubits": 15,
"optimal_eigenvalue": -7.999999999999979,
"target_ratio": 0.97,
"target_value": -7.759999999999979
} | 54 |
7c13ad0365481b8f4c94fe0692e944b8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 6}, {"weight": 13, "source": 0, "target": 2}, {"weight": 14, "source": 1, "target": 5}, {... | {"states": [218, 122], "expectation_value": -16.098513601747232, "params": [[-0.042300000000000004, 0.0012000000000000001, -0.0329], [0.0682, 0.030100000000000002, 0.061000000000000006]], "bitstrings": ["00100101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.013865300395697161, 0.017698877570265698... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 10.5 * Z(1) + 9.5 * Z(0) + 7.5 * Z(2) + 17.0 * Z(3) + 11... | 1 | 8 | 3 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 122.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.5707962879127242) q[0];
h q[0];
rx(1.1096276484305554e-07) q[1];
h q[1];
rx(0.2818339182180038) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10.5,
9.5,
7.5,
17,
11,
1,
12.5,
5.5
] | 0.153846 | [
1.5707962879127242,
1.1096276484305554e-7,
0.2818339182180038,
0.29522327631042783,
1.57079626082328,
-0.35558512854723284,
-0.3488988066315334,
1.570796359971608,
-0.01470265159093928,
-0.2818338345430893,
-1.5707961662067849,
-0.2698570203604268,
0.6860075752835871,
0.4982873472655991,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 394 |
-8681032418437515509 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6], [0, 6], [1, 3], [0, 7], [1, 4], [2, 4], [3, 5]]} | {"states": [71, 103], "expectation_value": -2.764400011752922, "params": [0.49010000000000004, -0.8177000000000001, 0.3811, 0.0092, 1.6858000000000002, 0.1183, 1.4127, 0.0054, 1.0939, 0.4101, 0.5801000000000001, 0.0027, 0.3225, 1.0257, 0.2126, 0.0033, 1.074, 0.7702, 0.8785000000000001, 0.0041, 1.6935, 0.197400000000000... | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 5 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["10011000", "01100111"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.04770309945142765) q[0];
rz(-1.2462279132851055) q[0];
rx(1.9666492688738186) q[1];
rz(0.1304906475601033) q[1];
rx(1.5444016794522553) q[2];
rz(0.426092964029233) q[2];
rx(0.08433456470389725) q[3];
rz(1.3873421987891748) q[3];
rx(0.20764190930474882) q[4];
rz(1.5... | 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": []} | [
"IZIIZIII",
"IZIIIIIZ",
"IIIIZIZI",
"ZIIIIIIZ",
"IIIZIIZI",
"IIIZIZII",
"IIZIZIII",
"IZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.975557 | [
0.04770309945142765,
-0.8708224658028467,
1.9666492688738184,
0.13920804700799944,
1.5444016794522555,
0.44842888632863975,
0.08433456470389725,
1.047899749951685,
0.2076419093047488,
1.286618177816035,
2.059253324412485,
0.33481424942687876,
1.7246099545945948,
0.2060072174348552,
1.621... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 45 |
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": [45, 109], "expectation_value": -2.0413251258699034, "params": [0.34, 0.35800000000000004, 0.4857, 0.2412, 0.5155000000000001, 0.329, 0.24880000000000002, 0.33590000000000003, 0.6032000000000001, -0.0085, 0.6027, 0.00030000000000000003, 0.0008, 0.4465, 0.6012000000000001, -0.010700000000000001, 0.2485, 0.393... | 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 | 4 | {"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 |
b8ec675dd91ebbd5410a74dcc6fca3e0 | 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": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capac... | {"states": [0, 1], "expectation_value": -20.7462199378093, "params": [-0.0033, 0.009600000000000001, 0.0023, 0.0063, -0.0027, 0.0099, 0.0023, 0.0013000000000000002, 0.0023, 0.0, 0.0023, 0.009600000000000001, 0.0027, 0.0064, 0.0026000000000000003, 0.0095, 0.0024000000000000002, 0.0033, 1.6119, 0.0011, 0.0039000000000000... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(... | 3 | 10 | 1 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.14916739820445582) q[0];
rz(-0.3912915985680794) q[0];
rx(0.1029503393944192) q[1];
rz(-0.26317471384044877) q[1];
rx(0.026865085770989703) q[2];
rz(0.27389728934415425) q[2];
rx(0.1029503393944192) q[3];
rz(0.15026689661186277) q[3];
rx(0.10295033939441921) 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIZZIII",
"IZIIIIZIII",
"IIIZIIIIZI",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IZZIIIIIII"... | [
-1,
-1,
-0.25,
-1,
-1,
-1,
-1,
-0.5,
-0.75,
-1,
-1,
-0.5,
-0.25,
-0.75,
-2,
-1,
-0.25,
-1,
-0.75,
-0.5,
-1,
-0.75,
4.25,
-0.5,
1.75,
-0.25,
0.25,
-0.25,
-2.25,
0.5,
-2.75,
-1.25,
1.25,
3
] | 0.976029 | [
-0.1491673982044558,
-0.34816677335191004,
0.1029503393944192,
-0.23727642968270657,
0.0268650857709897,
0.2902393978826723,
0.08763555842106088,
-0.05853565875678633,
0.012603592151487368,
-0.19938294809299215,
0.19741101635126057,
-0.14075336813514608,
0.08771163607100986,
-0.17697626804... | {
"n_parameters": 25,
"n_qubits": 10,
"optimal_eigenvalue": -26.5,
"target_ratio": 0.97,
"target_value": -25.705
} | 8 |
dab40a2f654e93a72357d226e03c7017 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [17, 48], "expectation_value": -3.9741052551015095, "params": null, "bitstrings": ["101110", "001111"], "total_optimization_steps": 15, "probabilities": [0.07397911536985187, 0.9005728489954137], "optimization_time": 10.518112897872925} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -1.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["001111", "101110", "101101", "011011", "110110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-9.732836771679241e-09) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-9.732836771679241e-09) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-9.732836771679241e-09) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-9.73283... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIIZZI",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1,
-0.5,
-1.5
] | 0.875 | [
-9.732836771679241e-9,
1.5707963924426682,
-8.266767826270459e-8,
-1.570796288084588,
1.570796283532113
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 154 |
2c69f66e23c234e31f1d5ec8aa443338 | connected_components | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}]} | {"states": [46, 62], "expectation_value": -4.166182601317923, "params": [0.4187, -0.0258, 0.36110000000000003, 0.3997, 0.41390000000000005, 0.0112, 0.36200000000000004, 0.5549000000000001, -0.3925, 0.3846, -0.3541, 0.06670000000000001, -0.40650000000000003, 0.1904, -0.38720000000000004, 0.4504, -0.40490000000000004, 0.... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -0.5 * Z(5) | 6 | 6 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["000001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(0.04711975617208431) q[0];
ry(-0.1325599692463841) q[1];
ry(0.05687606388497443) q[2];
ry(0.004888508310247848) q[3];
ry(2.426655310760118) q[4];
ry(0.03493424051288598) 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[1];
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[... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZZII",
"IZZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"IZIIII",
"ZIIIII"
] | [
-1,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.972855 | [
0.04711975617208431,
-0.1325599692463841,
0.05687606388497443,
0.004888508310247848,
2.426655310760118,
0.03493424051288598,
3.206370410814248,
0.05299809981433146,
-0.05722795343488331,
-0.15391392497352788,
-0.11681779862718587
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 13 |
2723974204809509610 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2], [2, 3, 4], [1, 2, 3], [0, 3], [3, 5]]} | {"states": [59, 43], "expectation_value": -1.5009566394177927, "params": null, "bitstrings": ["000100", "010100"], "total_optimization_steps": 35, "probabilities": [0.41399031248314533, 0.42492026146821366], "optimization_time": 29.220748901367188} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.3333333333... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.6666666666666663, "smallest_bitstrings": ["110011", "101001", "100011", "010100"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.12518675098431115) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.2996394562328222) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.12518675098431115) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.12518675098431115) q[3];
cx q[1], q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666663,
0.4999999999999999,
0.3333333333333335,
0.16666666666666666,
0
] | 0.638002 | [
-0.12518675098431115,
-0.2996394562328222,
-1.0678572793825871,
0.16676790660144883,
0.8339548742148724
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -1.6666666666666667,
"target_ratio": 0.97,
"target_value": -1.6166666666666667
} | 136 |
-1178919177038198602 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 4, 7, 9], [8, 9], [1, 9], [0, 1, 2, 3, 5, 10], [0, 4, 5, 6], [0, 10, 5, 7], [10, 4, 7], [3, 4, 5, 7], [0, 9, 5, 7], [0, 2, 4, 9, 10], [2, 6, 7, 8, 10], [0, 2, 4, 6, 7, 8], [0, 1, 2, 6], [0, 1, 3, 4, 5, 8], [8, 0, 5, 6], [0, 2, 3, 5, 6], [9, 2, 3, 5], [... | {"states": [694, 1718], "expectation_value": -4.021185606905469, "params": [0.8442000000000001, 0.8567, 1.5786, 1.5693000000000001, 0.1752, 0.1799, 1.5681, 1.5673000000000001, 0.2356, 0.23450000000000001, 1.5699, 1.5674000000000001, 1.5708, 1.5761, 0.16570000000000001, 0.171, 1.8106, 1.3283, 1.6053000000000002, 1.5416,... | 0.35 * (Z(0) @ Z(3)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(0)) + 0.3333333333333333 * (Z(8) @ Z(5)) + 0.18333333333333335 * (Z(10) @ Z(3)) + 0.18333333333333335 * (Z(10) @ Z(0)) + 0.1 * (Z(10) @ Z(5)) + 0.13333333333333333 * (Z(10) @ Z(8)) ... | 13 | 11 | 1 | {"smallest_eigenvalues": [-4.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.2, "smallest_bitstrings": ["00101001001"], "largest_eigenvalue": 16.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.3286188666394105) q[0];
rz(-0.5956416215206219) q[0];
ry(1.165626083335662) q[1];
ry(0.15700337005055215) q[2];
ry(1.5793058239422957) q[3];
ry(0.10656075446236621) q[4];
ry(1.513206179610154) q[5];
ry(1.4809364563583065) q[6];
ry(-0.08424463951042127) q[7];
ry(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": []} | [
"IIIIIIIZIIZ",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIZIIIIZIII",
"IIZIIIIIIIZ",
"IIZIIZIIIII",
"ZIIIIIIZIII",
"ZIIIIIIIIIZ",
"ZIIIIZIIIII",
"ZIZIIIIIIII",
"IZIIIIIZIII",
"IZIIIIIIIIZ",
"IZIIIZIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZIZI",
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"ZIIIIIIII... | [
0.35,
0.13333333333333333,
0.25,
0.13333333333333333,
0.25,
0.3333333333333333,
0.18333333333333335,
0.18333333333333335,
0.1,
0.13333333333333333,
0.13333333333333336,
0.2,
0.06666666666666667,
0.08333333333333334,
0.5,
0.16666666666666669,
0.2,
0.03333333333333333,
0.5,
0.083... | 0.970061 | [
1.3286188666394105,
1.165626083335662,
0.15700337005055215,
1.5793058239422957,
0.10656075446236621,
1.513206179610154,
1.4809364563583065,
-0.08424463951042127,
1.7221690548736879,
1.6182755182773219,
-0.11100156011860296,
-1.1912832430412439,
0.01351220742027779,
-0.22810268252020668,
... | {
"n_parameters": 41,
"n_qubits": 11,
"optimal_eigenvalue": -4.333333333333333,
"target_ratio": 0.97,
"target_value": -4.203333333333333
} | 7 |
5484017736745223261 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[6, 7], [1, 5, 6], [1, 2, 3, 4, 6, 8], [8, 0, 4, 6], [0, 2, 4, 5, 6], [1, 3, 5, 7]]} | {"states": [219, 475], "expectation_value": -0.8043542887898041, "params": [[-0.4864], [0.44720000000000004]], "bitstrings": ["100100100", "000100100"], "total_optimization_steps": 50, "probabilities": [0.00684317032611273, 0.007577314364071164], "optimization_time": 2.545861005783081} | 0.5 * (Z(6) @ Z(7)) + 0.08333333333333333 * (Z(1) @ Z(7)) + 0.19999999999999998 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(7)) + 0.21666666666666667 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(1)) + 0.08333333333333334 * (Z(2) @ Z(6)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.05 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7333333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6500000000000006, "smallest_bitstrings": ["000100100"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[6];
rz(1.4726787105689666e-05) q[6];
cx q[7], q[6];
cx q[7], q[1];
rz(-5.971621698612192e-06) q[1];
cx q[7], q[1];
cx q[6], q[1];
rz(6.651411792023383e-06) q[1];
cx q[6], q[1];
cx q[7], q[5];
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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IZZIIIIII",
"IZIIIIIZI",
"IIZIIIIZI",
"IZIZIIIII",
"IIZZIIIII",
"IIIZIIIZI",
"IIZIIIZII",
"IIIIIIZZI",
"IIIZIIZII",
"IZIIIZIII",
"IIZIIZIII",
"IIIIIZIZI",
"IIIZIZIII",
"IIIIIZZII",
"IIZIZIIII",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIZIZII",
"IIIIZZIII",
"ZIZIIIIII",
"ZIIIIIIZI",
"... | [
0.5,
0.08333333333333333,
0.19999999999999998,
0.08333333333333333,
0.21666666666666667,
0.25,
0.08333333333333334,
0.03333333333333333,
0.05,
0.08333333333333333,
0.03333333333333333,
0.11666666666666667,
0.08333333333333333,
0.03333333333333333,
0.16666666666666669,
0.033333333333333... | 0.951923 | [
0.000014726787105689666,
-0.000005971621698612192,
0.000006651411792023383,
-0.00000294298865765862,
-0.000009510797534072548,
-0.000001636565282441068,
0.000005407692447074397,
0.0000024626622537176177,
8.898837316419673e-7,
0.000011587420890666557,
1.5707888850586618,
-1.5707916699759756,
... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -1.7333333333333336,
"target_ratio": 0.97,
"target_value": -1.6813333333333336
} | 500 |
5752a513167eebaf48a0c31e379d2f42 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [167, 163], "expectation_value": -4.60555189387315, "params": [0.276, -0.004200000000000001, 0.28140000000000004, -0.0043, 0.0038, 0.2088, -0.001, 0.21280000000000002, 0.3942, 0.0012000000000000001, 0.40190000000000003, 0.057600000000000005, 0.0028, 0.22460000000000002, -0.0005, 0.2348, -0.0037, 0.2265, 0.00... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + -1.5 * Z(4) + -0.5 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + -1.5 * Z(1) + -1.5 * Z(... | 7 | 8 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["01011100", "11011000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.11011905209215911) q[0];
rz(-0.16347142409491333) q[0];
rx(0.02055539900156096) q[1];
rz(0.11544997764773177) q[1];
cx q[1], q[0];
rz(0.025377032657313545) q[0];
cx q[1], q[0];
rz(1.6238984521878006) q[0];
ry(0.2982285820887361) q[0];
rz(-1.8108009298950338) q[0];... | 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZIZII",
"IIIIIZZI",
"IIIZZIII",
"IIIIZZII",
"IIIIZIZI",
"IZIIIIZI",
"ZIIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
0,
-1,
-1.5,
-1.5,
0,
-1
] | 0.975689 | [
-0.1101190520921591,
-0.1380943914375996,
0.02055539900156096,
0.11544997764773177,
0.3978674577281584,
0.005209304460123942,
0.13442988899920466,
0.06748217231013053,
-0.05956419944124609,
0.05329272443588266,
0.5234004488578096,
-0.01561494853707341,
0.5714159886463139,
0.861872123535654... | {
"n_parameters": 104,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 12 |
-4670749010918333584 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 4, 5, 6, 7], [0, 2, 4, 5, 6], [0, 1, 2, 4, 7], [2, 3, 4]]} | {"states": [221, 157], "expectation_value": -0.81420981124974, "params": null, "bitstrings": ["00100010", "01100010"], "total_optimization_steps": 54, "probabilities": [0.21363333703720946, 0.298041256512488], "optimization_time": 92.80752849578857} | 0.07380952380952381 * (Z(0) @ Z(1)) + 0.023809523809523808 * (Z(3) @ Z(1)) + 0.023809523809523808 * (Z(3) @ Z(0)) + 0.07380952380952381 * (Z(4) @ Z(1)) + 0.12380952380952381 * (Z(4) @ Z(0)) + 0.19047619047619047 * (Z(4) @ Z(3)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.07380952380952381 * (Z(5) @ Z(0)) + 0.02380952380... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -0.9238095238095236, "smallest_bitstrings":... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.03364815657501992) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.033296359552797354) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.033296359552797354) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.03364815657501992) q[4];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.3858) 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[... | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZZI",
"IIIIIZI... | [
0.07380952380952381,
0.023809523809523808,
0.023809523809523808,
0.07380952380952381,
0.12380952380952381,
0.19047619047619047,
0.023809523809523808,
0.07380952380952381,
0.023809523809523808,
0.07380952380952381,
0.023809523809523808,
0.07380952380952381,
0.023809523809523808,
0.073809523... | 0.976762 | [
0.03364815657501992,
-0.033296359552797354,
-0.0937428410172995,
0.7258837092763114,
-0.028783826852688467,
0.10082772321202052,
-0.08736856863883628,
-3.158979002577361,
-1.4899542342317436,
1.830340203842116,
-1.6122871050873742,
-1.5174632718578571,
1.8037217594970403,
1.567768730929428... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -0.9238095238095239,
"target_ratio": 0.97,
"target_value": -0.8960952380952382
} | 86 |
9ccd9f6529d5a9ac74541f04b00ec686 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [255, 1], "expectation_value": -1.411995525089554, "params": [[-0.0653, -0.07970000000000001], [0.059800000000000006, 0.0697]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.004328955683873417, 0.0048924605092368935], "optimization_time": 4.268881797790527} | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(6)) + -0.75 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 11.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6091848325332633) q[0];
h q[1];
ry(-1.588452627671235) q[1];
h q[2];
ry(-1.6276946459033956) q[2];
h q[3];
ry(-1.6276946459033956) q[3];
ry(-0.10662316151948092) q[4];
rz(-pi) q[4];
ry(-0.06371914567816628) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.627694645903395... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIIZII",
"IIIIIIZZI",
"IIIZIZIII",
"IIZIIZIII",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZZIIII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IZIIIIIII",
"... | [
-0.75,
-0.5,
-0.25,
-0.75,
-0.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.75,
-0.5,
-1.5,
-0.75,
-0.5,
-0.75,
1.75,
-0.25,
0.5,
-0.25,
0.25,
-0.25,
1,
0.5,
-2,
-0.5,
0.75
] | 0.971196 | [
-1.6276946459033956,
-1.2183696650665266,
1.3510578111873717,
-0.7713033139955954,
-1.366570324306977,
-1.4860400757306838,
-1.588452627671235,
-1.5667305303450199,
-0.19520568193687776,
-0.03553861133999609,
-0.04207421077209303,
-0.3488304077040262,
-0.07966413657683813
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 12 |
-1414922549263232579 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 6], [1, 6], [5, 7], [3, 4], [0, 3], [4, 6], [2, 4], [8, 1], [5, 6], [6, 7], [3, 5], [8, 7], [1, 2], [2, 5], [3, 6], [1, 7], [8, 0], [1, 3], [8, 2], [1, 4], [8, 5], [0, 4], [2, 3]]} | {"states": [51, 115], "expectation_value": -0.24762536887054293, "params": [0.7220000000000001, -0.108, 0.7264, 0.0013000000000000002, 0.7458, 0.1632, 0.7362000000000001, 0.0024000000000000002, 0.8304, 0.1506, 0.7823, 0.0044, 0.8636, 0.13470000000000001, 0.8581000000000001, 0.0037, 0.8602000000000001, 0.1366, 0.8433, 0... | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.5, "smallest_bitstrings": ["001110011", "110001100", "111001010", "111001000", "000110111", "000110101", "111001100", "000110011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.05676561483452835) q[0];
rz(-0.4306765531101382) q[0];
rx(0.07029199665228401) q[1];
rz(0.07640066565582782) q[1];
rx(0.15032344096059136) q[2];
rz(1.2772152307583777) q[2];
rx(1.5926988011060197) q[3];
rz(-0.11210872905434721) q[3];
rx(2.156080419570045) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZII",
"IIZIIIIZI",
"IIIIIIZZI",
"IIZZIIIII",
"IIIZIIZII",
"IZZIIIIII",
"IZIIIIIZI",
"IZIZIIIII",
"IIZIIZIII",
"IIIIIZZII",
"IIIIIZIZI",
"IIIZIZIII",
"IIZIZIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIIZIIIZ",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIZIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.97096 | [
0.05676561483452835,
-0.1521515152976201,
0.07029199665228401,
-0.1464373381646895,
0.15032344096059136,
1.1524312081894987,
1.5926988011060197,
-0.13357895869594402,
2.156080419570045,
0.26557749725664404,
0.16331319675510486,
0.016363013521905362,
2.1415822174893258,
-0.6445127704647975,... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 72 |
c4fd4922d2c165ab37a0955c733d543f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [164, 166], "expectation_value": -1.1816979632093902, "params": [0.40750000000000003, 0.0013000000000000002, 0.3607, 0.0324, 0.39830000000000004, 0.005200000000000001, 0.3689, 0.0251, 0.17880000000000001, -0.10890000000000001, 0.40190000000000003, -0.0193, 0.3987, -0.0039000000000000003, -0.0, 0.3103, 0.3986... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 3 | 8 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.375, "smallest_bitstrings": ["01001011", "01011001", "00011101"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.029810180010720243) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.029810180010720243) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.029810180010720243) q[2];
cx q[0], q[2];
rz(-0.06686179152681927) q[0];
rx(1.6059265917078847e-08) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIIZIIIZ",
"IIZIIIZI",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"ZZZIIIII",
"IIIZIZII",
"IZIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-0.125,
-0.125,
-0.125,
-0.125,
-0.5,
-0.25,
-0.25,
-0.75
] | 0.923664 | [
-0.029810180010720243,
0.7336274290211755,
-0.06686179152681929,
0.16955226673052048,
1.2441031931681117,
-0.7612827673018912,
0.853920074668443,
2.7115183994821614,
1.6059262359189638e-8,
0.029810161797917772,
0.837168872182548,
-1.5039345290864283,
1.4012440334331926,
0.32669311339272855... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 418 |
8b9699e184b2dee4b86c87a62e9c7e5c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, ... | {"states": [127, 1], "expectation_value": -0.663615555265447, "params": [[0.0637, 0.0393], [-0.058800000000000005, -0.04]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0062690402613140225, 0.006539540171193609], "optimization_time": 4.271236896514893} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.0844300752616571) q[0];
rz(2.1139387912759435) q[0];
rx(-0.1498790866820462) q[1];
rz(2.0836137185059904) q[1];
rx(0.057079340349078155) q[2];
rz(1.904948933670651) q[2];
rx(0.06516424781021761) q[3];
rz(2.045016475467456) q[3];
rx(0.05617938885140029) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIZIIZI",
"IIIZZIII",
"IIIIIZZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IZZIIIII",
"ZIZIIIII",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIII... | [
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
1.5,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-1,
-2,
-0.25,
0.75,
0.75,
0.5,
-0.5,
0.25,
0.5
] | 0.977946 | [
-0.0844300752616571,
0.5431424644810464,
-0.1498790866820462,
0.5128173917110932,
0.05707934034907815,
0.3341526068757544,
0.06516424781021762,
0.4742201486725591,
0.0561793888514003,
0.30027713590591465,
-0.019864683485527335,
0.4609679127881336,
0.03382695698344525,
0.3864669591794765,
... | {
"n_parameters": 58,
"n_qubits": 8,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 4 |
-1410698639661506152 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 4], [1, 2, 5, 6], [0, 2, 3, 4, 5, 6], [1, 2, 3, 4, 6], [1, 4, 5]]} | {"states": [122, 107], "expectation_value": -0.5608539521696585, "params": [[0.3532], [-0.34400000000000003]], "bitstrings": ["0000101", "0010100"], "total_optimization_steps": 40, "probabilities": [0.014568543312540556, 0.01456854331254056], "optimization_time": 2.3114094734191895} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.11666666666666667 * (Z(3) @ Z(0)) + 0.3 * (Z(4) @ Z(1)) + 0.11666666666666667 * (Z(4) @ Z(0)) + 0.16666666666666669 * (Z(4) @ Z(3)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333334 * (Z(2) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.2333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2333333333333332, "smallest_bitstrings": ["0010100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.592133059411577) q[0];
rz(-0.0763011936425868) q[0];
rx(2.0201128484844078) q[1];
rz(-0.11599900612525982) q[1];
rx(0.6095664163402298) q[2];
rz(-0.7702621105854308) q[2];
rx(1.801775843495406) q[3];
rz(-0.15821130770660385) q[3];
rx(0.3942546641216394) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIIIZIZ",
"IIIZZII",
"IIZIZII",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"IZIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"ZIIIZII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZ... | [
0.08333333333333333,
0.13333333333333333,
0.11666666666666667,
0.3,
0.11666666666666667,
0.16666666666666669,
0.13333333333333333,
0.03333333333333333,
0.08333333333333334,
0.08333333333333334,
0.25,
0.03333333333333333,
0.03333333333333333,
0.19999999999999998,
0.11666666666666667,
0.... | 0.971205 | [
1.5921330594115768,
-0.06925906724944868,
2.0201128484844078,
-0.09134970345721198,
0.6095664163402298,
-0.43971746651168764,
1.8017758434954063,
-0.20031854446385877,
0.3942546641216394,
1.0684775205976975,
2.1014936091662886,
0.034226133594800964,
1.539289228442807,
0.2549014097838544,
... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -1.2333333333333334,
"target_ratio": 0.97,
"target_value": -1.1963333333333332
} | 32 |
c4c481d42e823a9c9d606e8266a72503 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"sour... | {"states": [435, 419], "expectation_value": -3.4721532064470013, "params": [0.9106000000000001, 0.0019, 0.9023, 0.0097, 0.9058, 0.0028, 0.9081, 0.0041, 0.2323, 0.5287000000000001, 0.22390000000000002, 0.0002, 0.9062, 0.3321, 0.9025000000000001, 0.0025, 0.7385, -0.0514, 0.7337, 0.0068000000000000005, -0.0016, 0.50340000... | 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(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.5 * Z(5) + -0.5 * Z(0) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) + -0.5 * Z(4) + -0.5... | 7 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["001011100", "101001001", "001001101", "101011000", "000101101", "000111100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.652306904232104) q[0];
rz(0.19831156195425192) q[0];
rx(1.8768171400065736) q[1];
rz(-0.08761800010391757) q[1];
cx q[1], q[0];
rz(-0.08205181893606728) q[0];
cx q[1], q[0];
rx(1.4798932518554346) q[0];
rz(0.08740187579292685) q[0];
rx(1.3856919979156697) 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": []} | [
"IIIZIIIIZ",
"IIZZIIIII",
"IIZIIIIIZ",
"IIIZIIIZI",
"IIZIIIZII",
"IIIIIZZII",
"IIIZZIIII",
"ZIIZIIIII",
"ZIIIZIIII",
"IZIZIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-1,
0,
-0.5,
0,
-0.5,
-0.5,
0
] | 0.973442 | [
1.652306904232104,
0.11625974301818462,
1.8768171400065736,
-0.08761800010391757,
-0.23222398583000467,
0.394376960937048,
2.076715668672651,
0.5290077508073076,
0.10151560134889626,
-0.651615354160481,
-0.23061945252260305,
0.49567830754556663,
-0.4249797677380071,
-0.17052709710128258,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 25 |
6206337d7d1967e1d98c4b708b2f9aeb | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [9, 44], "expectation_value": -0.6790554137136239, "params": [[-0.0553, -0.0623], [0.060200000000000004, 0.0608]], "bitstrings": ["110110", "010011"], "total_optimization_steps": 10, "probabilities": [0.019162873224442233, 0.021148815963219107], "optimization_time": 4.424277067184448} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["010011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-3.104597454054124) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.53500557433382) q[1];
h q[2];
ry(1.4439796999895051) q[2];
cx q[2], q[0];
ry(-0.09228340053169692) q[0];
cx q[2], q[0];
ry(0.12874566237956261) q[2];
h q[3];
ry(1.4415177267275305) q[3];
h q[4];
ry(-1.535005574333... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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 ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZZIIII",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-2,
-1.5,
-0.5,
-1
] | 0.993942 | [
-1.53500557433382,
-1.4376074027751256,
1.4439796999895051,
1.4415177267275305,
0.0014514087102965867,
0.18456680106339385,
0.15085650241299106,
0.25749132475912523,
-0.0014710015415432699,
-0.07056259980137612,
0.21107059744399434,
-0.014355156257897916
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
a296bf4a8467a546a89302f84310fa30 | 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": 5, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 7}, {"weight": 4, "source": 2, "target": 3}, {"weight": 20, "source": 3, "targ... | {"states": [442, 186], "expectation_value": -23.50503991683748, "params": [[-0.023700000000000002, 0.032, 0.0142, 0.010100000000000001], [0.0534, -0.037000000000000005, -0.047, -0.0466]], "bitstrings": ["001000101", "101000101"], "total_optimization_steps": 10, "probabilities": [0.005826676493124364, 0.0077931202615585... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.5, "smallest_bitstrings": ["101000101"], "largest_eigenvalue": 169.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02079609897828741) q[0];
cx q[1], q[0];
rz(-1.5510359160524168) q[0];
rx(-1.049082062418527) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.02079609897828741) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.02079609897828741) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
8,
-2,
23.5,
6.5,
15,
20.5,
9,
16.5,
5
] | 0.970632 | [
-0.02079609897828741,
1.6027801748050579,
-1.5510359160524168,
1.7285300706425282,
-1.5617611290460678,
1.1224687269775335,
1.5717613714268266,
-1.3385969788638588,
1.6882683897198123,
-1.3454953644807968,
-1.0490820624185273,
0.19710993582515887,
0.150016056613286,
-0.2800053757395895,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 48 |
bfc5aaca0167d463bd80e3ee9890beee | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 1, "ta... | {"states": [148, 156], "expectation_value": -5.072203847182824, "params": [[0.8844000000000001, 0.0061, 0.1468, 0.8487, 0.37410000000000004, 0.8886000000000001, -0.0103, -0.0068000000000000005], [0.9064000000000001, -0.0009000000000000001, 0.2039, 0.68, -0.3501, 0.433, 0.0049, 0.0233], [0.5972000000000001, 0.0007, 0.09... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * Z(6) + -0.5 * Z(0) + -1.5 * Z(7) + -1.5 * Z(1) + -1.0 * Z(4) + -0.5 * Z... | 10 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["01100011", "01010011"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.0630227141735042) q[0];
ry(0.060996496601230125) q[1];
ry(0.38594333365795463) q[2];
ry(0.7666646288718703) q[3];
ry(0.2592745629078721) q[4];
ry(1.0275555713583653) q[5];
ry(0.15446766350638758) q[6];
ry(-0.13826385893063314) q[7];
cz q[7], q[6];
cz q[6], q[5];
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": []} | [
"IZIIIIIZ",
"ZZIIIIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIIZIIZI",
"IZZIIIII",
"IIZIIIZI",
"IIIIZIZI",
"IIIIZZII",
"IZIIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-1.5,
-1,
-0.5,
-0.5,
0
] | 0.977024 | [
1.0630227141735042,
0.060996496601230125,
0.38594333365795463,
0.7666646288718703,
0.2592745629078721,
1.0275555713583653,
0.15446766350638758,
-0.13826385893063314,
0.8636124210722039,
-0.06160093934479627,
-0.009181051422423668,
0.8203200003621316,
-0.48525032329257956,
0.474899196592764... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 9 |
8868209641266959459 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[2, 5, 6, 7], [0, 5, 6, 7, 9], [8, 9, 2, 10], [0, 1, 2, 4, 7, 10], [0, 1, 6, 8, 9, 10], [1, 2, 3, 4, 5, 8], [0, 1, 2, 6, 7, 10], [0, 1, 5, 8, 9], [1, 2, 3, 4, 6, 10], [0, 2, 3, 7, 8, 9], [3, 5, 6, 7], [0, 1, 3, 4, 5, 10], [2, 3, 5, 6, 8, 9], [1, 3, 4, 5, 7, 8... | {"states": [251, 1530], "expectation_value": -2.6987545431459345, "params": [[[1.5686, 1.5728], [0.93, 1.5688], [-1.5686, 1.5686], [0.0018000000000000002, 1.5686], [-0.0025, 0.0023], [-0.0028, -0.0029000000000000002], [1.3452000000000002, -0.0425], [0.5426, 0.5529000000000001], [1.5685, 1.5684], [1.5678, -1.5676], [1.5... | 0.1738095238095238 * (Z(3) @ Z(6)) + 0.3333333333333333 * (Z(7) @ Z(6)) + 0.21666666666666665 * (Z(7) @ Z(3)) + 0.2583333333333333 * (Z(8) @ Z(6)) + 0.24047619047619045 * (Z(8) @ Z(3)) + 0.36666666666666664 * (Z(8) @ Z(7)) + 0.15714285714285714 * (Z(0) @ Z(6)) + 0.15714285714285714 * (Z(0) @ Z(3)) + 0.15 * (Z(0) @ Z(7)... | 15 | 11 | 1 | {"smallest_eigenvalues": [-3.667857142857142], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.538095238095238, "smallest_bitstrings": ["01000000101"], "largest_eigenvalue": 17.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5707963241019118) q[0];
ry(1.5707979417019113) q[1];
ry(-1.570796285683911) q[2];
ry(-9.549701602123502e-09) q[3];
ry(-1.4620406588543716e-07) q[4];
ry(2.5111720948521216e-08) q[5];
ry(1.7746130924496053e-08) q[6];
ry(-0.21123312887849305) q[7];
ry(1.5707963476260... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIZIIZIII",
"IIIZZIIIIII",
"IIIZIIIZIII",
"IIZIZIIIIII",
"IIZIIIIZIII",
"IIZZIIIIIII",
"IIIIZIIIIIZ",
"IIIIIIIZIIZ",
"IIIZIIIIIIZ",
"IIZIIIIIIIZ",
"ZIIIZIIIIII",
"ZIIIIIIZIII",
"ZIIZIIIIIII",
"ZIZIIIIIIII",
"ZIIIIIIIIIZ",
"IZIIZIIIIII",
"IZIIIIIZIII",
"IZIZIIIIIII",
"IZZIIIIII... | [
0.1738095238095238,
0.3333333333333333,
0.21666666666666665,
0.2583333333333333,
0.24047619047619045,
0.36666666666666664,
0.15714285714285714,
0.15714285714285714,
0.15,
0.20714285714285713,
0.2583333333333333,
0.20714285714285713,
0.23333333333333334,
0.15833333333333333,
0.22380952380... | 0.820513 | [
1.5707963241019118,
1.5707979417019113,
-1.570796285683911,
-9.549701602123502e-9,
-1.4620406588543716e-7,
2.5111720948521216e-8,
1.7746130924496053e-8,
-0.21123312887849305,
1.5707963476260396,
1.5707962504578714,
1.5707963319099867,
1.5707963188106082,
1.570796339785412,
-3.1851420489193... | {
"n_parameters": 19,
"n_qubits": 11,
"optimal_eigenvalue": -3.667857142857142,
"target_ratio": 0.97,
"target_value": -3.5578214285714274
} | 480 |
595740526298443908 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 3, 4, 7, 10], [0, 9, 4, 6], [8, 2, 6], [0, 9, 2, 4], [8, 4], [0, 1, 3, 7, 10], [8, 9, 10], [1, 5, 6, 7], [2, 10, 6], [1, 3, 4, 6], [9, 7], [0, 10, 6], [1, 2, 3, 5, 6], [0, 2, 7], [8, 10, 5], [10, 4, 6, 7], [8, 1], [9, 10, 3, 5], [2, 4, 7], [0, 10, 5, 7], ... | {"states": [2040, 2032], "expectation_value": -5.043519903476432, "params": [1.5753000000000001, 0.1789, 1.0961, 0.0031000000000000003, 1.4451, 0.0833, 1.4124, 0.0033, 1.5764, 0.1042, 1.5616, 0.0009000000000000001, 1.5815000000000001, 0.12990000000000002, 1.5377, 0.0051, 1.5499, -0.2097, 0.8160000000000001, 0.005200000... | 0.1 * (Z(0) @ Z(4)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.18333333333333335 * (Z(8) @ Z(4)) + 0.35 * (Z(8) @ Z(0)) + 0.3833333333333333 * (Z(8) @ Z(5)) + 0.26666666666666666 * (Z(2) @ Z(4)) + 0.35 * (Z(2) @ Z(0)) + 0.13333333333333333 * (Z(2) @ Z(5)) + 0.35 * (Z(2) @ Z(8)) + 0.... | 5 | 11 | 1 | {"smallest_eigenvalues": [-5.6000000000000005, -5.6000000000000005], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.516666666666667, "smallest_bitstrings": ["00000001111", "00001001110"], "largest_eigenvalue": 22.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.8194195443121568) q[0];
rz(0.22676050331186115) q[0];
rx(1.5064778412211481) q[1];
rz(0.12252426189284371) q[1];
rx(1.535451575228885) q[2];
rz(-0.06975087133794666) q[2];
rx(1.5528865700270822) q[3];
rz(0.16359089454611375) q[3];
rx(1.6957336938468377) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIZIIIZIIII",
"IIZIIIIIIIZ",
"IIZIIZIIIII",
"IIIIIIZIZII",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIZIIIIIZII",
"ZIIIIIZIIII",
"ZIIIIIIIIIZ",
"ZIIIIZIIIII",
"ZIZIIIIIIII",
"ZIIIIIIIZII",
"IIIZIIZIIII",
"IIIZIIIIIIZ",
"IIIZIZIIIII",
"IIZZIIIII... | [
0.1,
0.13333333333333333,
0.21666666666666667,
0.18333333333333335,
0.35,
0.3833333333333333,
0.26666666666666666,
0.35,
0.13333333333333333,
0.35,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.25,
0.13333333333333333,
0.41666666666666663,
0.25,
0.16666666... | 0.970494 | [
1.819419544312157,
0.24104380855771435,
1.506477841221148,
0.10782288527209898,
1.535451575228885,
-0.10579170584023329,
1.5528865700270822,
0.18282892650723076,
1.6957336938468375,
-0.2759206703110509,
1.5583382944190038,
0.12177696425247825,
1.5280447688810879,
0.2596065514815691,
0.44... | {
"n_parameters": 55,
"n_qubits": 11,
"optimal_eigenvalue": -5.6000000000000005,
"target_ratio": 0.97,
"target_value": -5.432
} | 72 |
914daa82fa364871fec375c7bd69ac88 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"sour... | {"states": [210, 82], "expectation_value": -7.743575620047887, "params": [[[-0.0015, 0.5045000000000001], [0.7159, -0.055900000000000005], [0.8542000000000001, -0.0029000000000000002], [0.004, 0.4476], [0.9042, -0.0038], [-0.0131, 0.44730000000000003], [0.0012000000000000001, 0.40040000000000003], [0.908, 0.0011], [0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -8.0, "smallest_bitstrings": ["110101101", "110110011", "101011101", "101101101", "010110111"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-0.3990670016992883) q[0];
ry(0.08171889891923724) q[0];
rz(0.527159421717565) q[0];
rz(1.5755059521144705) q[1];
ry(0.4330014501953076) q[1];
rz(-1.5764114563769587) q[1];
rz(1.7022118753518036) q[2];
ry(2.5634126405828805) q[2];
rz(-1.2729092198639456) q[2];
rz(1.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZIZIIII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZZI",
"IIIIIZZII",
"ZIIIIIZII",
"IIIZIIIZI",
"IIIZZIIII",
"IZIZIIIII",
"ZIIZIIIII",
"... | [
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,
-1.5,
-2.5,
-2,
-1.5,
-2,
-1.5,
-3,
-1,
-1.5
] | 0.971067 | [
0.173393989032726,
0.3545218909705328,
0.13184826136613687,
0.006662154291302763,
1.358195718476015,
0.07661085442040182,
0.15159538827485905,
0.3455887205503897,
1.5002096763652093,
-0.13567185910806656,
-0.129196430156439,
0.41801860239560196,
0.27667190370337125,
0.24695041854019478,
... | {
"n_parameters": 34,
"n_qubits": 9,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 17 |
9551046ccc9dd029d28dbd33e8ca0f1e | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [66, 98], "expectation_value": -5.047198147330767, "params": [0.3899, -0.0786, 0.3929, -0.0397, 0.22290000000000001, -0.0216, 0.2225, 0.0034000000000000002, -0.0013000000000000002, 0.23090000000000002, -0.0032, 0.22820000000000001, 0.0028, 0.2592, -0.0047, 0.26, 0.0035, 0.2078, -0.005, 0.2361, 0.3956, 0.0692... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + ... | 5 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011101"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.3663236075024421) q[0];
rz(0.06788378276183282) q[0];
rx(0.2786266742046423) q[1];
rz(0.1607403182741569) q[1];
rx(0.008444709122338223) q[2];
rz(0.15736575455056867) q[2];
rx(0.04037693558044568) q[3];
rz(0.21065412104015957) q[3];
rx(0.017583446972231423) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIIZIZI",
"IIZIIZI",
"ZIZIIII",
"ZIIIIZI",
"IZIIZII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-1.5,
-1,
-0.5
] | 0.971456 | [
0.3663236075024421,
-0.002973983983354467,
0.2786266742046423,
0.046945913968455516,
0.008444709122338221,
0.20323283847374896,
0.04037693558044568,
0.2338359100568723,
0.017583446972231423,
0.3053595873227363,
0.3942089818562906,
0.08070056892999547,
0.21443493750771944,
-0.44391007638670... | {
"n_parameters": 135,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 5 |
b35b67be6f13e1c7d0fe900b84e9f3d0 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [27, 91], "expectation_value": -0.9869364249941711, "params": [0.008, -0.0008, 0.2561, 0.2645, 0.4066, 0.39840000000000003, 0.25470000000000004, 0.2457, 0.4061, 0.4036, 0.40590000000000004, 0.403, 0.30960000000000004, 0.3039, 0.4046, 0.3972, 0.396, 0.3986, -0.00030000000000000003, 0.0032, 0.2581, 0.263300000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(2) @ Z(5) @ Z(6)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(7) @ Z(0)) + 0.0625 * (Z(8) @ Z(0)) ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5625, "smallest_bitstrings": ["100110100", "110000110", "110100100"], "largest_eigenvalue": 6.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-3.1044154877547934) q[0];
ry(-0.14624712835197728) q[1];
rz(-pi) q[1];
h q[2];
ry(1.517125227600992) q[2];
h q[3];
ry(-0.46439454295052995) q[3];
h q[4];
ry(-1.658138407290251) q[4];
h q[5];
ry(1.517125227600992) q[5];
h q[6];
cx q[6], q[3];
ry(0.46439... | OPENQASM 3.0;
include "stdgates.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",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIZZZI",
"IIIIZIIZI",
"IIIZIIZII",
"IIZIIIZII",
"IIZZIIIII",
"IIZZIIZII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IIIZZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIZZIIIZ",
"IZIIZIIIZ",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0... | 0.993886 | [
-1.658138407290251,
-1.3759637991255074,
1.517125227600992,
-0.9287890859010599,
0.5798954614756153,
-0.5155606941877574,
0.49240477016956247,
-0.38839652885064646,
0.12744775508000605,
-0.18718229301267325,
0.18169653005780909,
0.1441821903289413,
0.11969662451446915,
0.2736294279178377,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
e5b0ce535bcb92efe5cd479863c01b12 | 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": 3, "source": 0, "target": 8}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6}, {"capac... | {"states": [447, 511], "expectation_value": -10.100011553036813, "params": null, "bitstrings": ["1001000000", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.27917529266494084, 0.3491310456177419], "optimization_time": 265.9624433517456} | -0.75 * (Z(0) @ Z(8)) + -1.25 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(8)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(8)) + -0.75 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + -2.25 * (Z(2) @ Z(3)) + -1.25 * (Z(7) @ Z(8)) + -0.5 * (Z(7) @ Z(3)) + -1.75 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(2)) + -1.5 * (Z(4) @ Z(8)) + -1.5 * (Z(4) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.25, -22.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.25, "smallest_bitstrings": ["1000000000", "1111111110"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.8223698530604044) q[0];
h q[1];
ry(0.7736775188551226) q[1];
h q[2];
ry(1.5473550377102452) q[2];
h q[3];
ry(1.5473550377102452) q[3];
h q[4];
ry(0.7736775188551226) q[4];
h q[5];
ry(0.7736775188551226) q[5];
h q[6];
h q[7];
ry(0.7736775188551226) 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(1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... | [
"IZIIIIIIIZ",
"IZIIIIIIZI",
"IZIIIIZIII",
"IIIIIIZIZI",
"IZIZIIIIII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIIIIIZZII",
"IZZIIIIIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIZIIIIZII",
"IZIIIZIIII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIZIIZIIII",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"ZIZIIIIIII",
"IZIIZIIIII"... | [
-0.75,
-1.25,
-0.5,
-1.25,
-1,
-0.75,
-0.25,
-2.25,
-1.25,
-0.5,
-1.75,
-1,
-1.5,
-1.5,
-0.25,
-0.25,
1,
-0.5,
-0.25,
-1,
-1,
-2,
-1.5,
0.25,
-0.25,
-0.75,
2.25,
-0.25,
0,
0,
-2,
0.25,
0.5
] | 0.966259 | [
1.5473550377102452,
1.225585876767597,
-0.0009693177649597179,
0.4134048433465159,
-1.186625783996184,
0.9788553307831871,
0.08045431529559613,
-1.683060514304813,
3.233555315217666,
-1.8616712823502095,
0.028242526959921348,
1.578609225656276,
-1.6447397061208089,
-0.4007359729138705,
0... | {
"n_parameters": 62,
"n_qubits": 10,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 500 |
2840456929365522092 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [0, 3], [3, 4], [0, 5], [3, 5], [0, 6], [2, 3], [0, 4], [1, 6]]} | {"states": [112, 114], "expectation_value": -2.2423712038299337, "params": null, "bitstrings": ["0001111", "0001101"], "total_optimization_steps": 54, "probabilities": [0.214268774856139, 0.5074955377829443], "optimization_time": 49.793280839920044} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.5, "smallest_bitstrings": ["0000111", "1101000", "0010111", "0001111", "1110000", "1110010", "0001101", "1111000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-0.28984078044415346) q[3];
h q[4];
ry(-0.26434783492908287) q[4];
cx q[2], q[4];
ry(0.26434783492908287) q[4];
cx q[2], q[4];
ry(-0.7835290196996537) q[4];
ry(0.8668963469053198) q[2];
h q[5];
cx q[5], q[3];
ry(0.28984078044415346) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) 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];\nc[6] = measure q[6... | [
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIZZII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.971843 | [
-0.5796815608883069,
1.4990425878368907,
-0.17649398480782386,
1.2632649030578242,
-0.5286956698581657,
0.8668963469053198,
-1.5670580393993074,
0.0846753912633193,
-0.8610152413388326,
0.5937755216797972,
-0.7036873616665289,
0.21455009940360265,
0.234488976334283,
-0.11306575634106596,
... | {
"n_parameters": 43,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 41 |
d5141e120f90f429ecf4d4dba0d0fe25 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 14, "source": 0, "target": 2}, {"weight": 20, "source": 1, "ta... | {"states": [486, 244], "expectation_value": -10.11292780859144, "params": [[-0.0485], [0.0707]], "bitstrings": ["000011001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.003908495120240945, 0.004302728852244205], "optimization_time": 1.9268193244934082} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 16.0 * Z(1) + 14.0 * Z(0) + 13.5 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 155.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0357441524412547) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.0357441524412547) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0357441524412547) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.0357441524412547) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZZIIIII",
"IZIIZIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16,
14,
13.5,
19,
11.5,
9,
9.5,
0.5,
4
] | 0.970911 | [
-0.0357441524412547,
-1.3243738863478043,
0.20067037682180963,
-1.4627485553969521,
-1.3659985365122655,
-1.1931886195985468,
0.38743448584587753,
-1.2966974164736471,
1.2801504036576643,
0.9174965296837271,
0.749051589337997,
0.00805940144664026,
-0.3813827101871313,
1.0035341088991097,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -73.5,
"target_ratio": 0.97,
"target_value": -71.295
} | 88 |
7afc16820e80f9ff38487d4737c6b4ad | 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}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [229, 182], "expectation_value": -8.919014479793159, "params": [[-0.042300000000000004], [0.0575]], "bitstrings": ["100011010", "101001001"], "total_optimization_steps": 10, "probabilities": [0.003735704181584042, 0.004049706683730694], "optimization_time": 1.8501064777374268} | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(2) @ Z(4)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(8)) + -3.0 * Z(0) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 169.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.06078934848972714) q[0];
rz(0.3440169291461359) q[0];
rx(0.1686371446574001) q[1];
rz(-0.45755136893257475) q[1];
rx(-0.40109356807666746) q[2];
rz(-0.0005748198450810094) q[2];
rx(0.7421075013295217) q[3];
rz(-0.3281553509892112) q[3];
rx(0.3809463555792857) q[4]... | 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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIZII",
"IIIIIZZII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIZIIIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-3,
19.5,
20.5,
12,
8,
4,
15.5,
13.5,
9
] | 0.974159 | [
-0.06078934848972714,
0.39794893072806303,
0.1686371446574001,
-0.13877685765296732,
-0.40109356807666746,
-0.2661933752040481,
0.7421075013295217,
-0.4304980650910389,
0.3809463555792858,
0.0762564394950367,
0.29325606757125827,
0.18293490476311136,
0.4656961348628891,
0.07288474059729982... | {
"n_parameters": 133,
"n_qubits": 9,
"optimal_eigenvalue": -84,
"target_ratio": 0.97,
"target_value": -81.48
} | 91 |
f2fe734c369e4d7183a5c8ea6ef1dc83 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 9}, {"source": 2, "target":... | {"states": [406, 470], "expectation_value": -3.09692944775424, "params": [0.07150000000000001, 0.0695, 0.8118000000000001, 0.8067000000000001, 0.8064, 0.8078000000000001, 0.8024, 0.8, 0.3225, 0.3163, 0.8053, 0.8025, 0.2858, 0.2932, 0.8118000000000001, 0.8117000000000001, 0.8114, 0.8101, -0.015600000000000001, -0.0181, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -1.0 * Z(0) + 0.0 * Z(5) + -0.5 * Z(8) + -1.5 * Z(9) + 0.0 * Z(2) + -0.5 * Z(3) + -0.5... | 13 | 10 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["1000100101", "1001001001", "1000101001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.049719273283599714) q[0];
rz(-0.05156768382357976) q[0];
ry(1.6653295183540657) q[1];
ry(1.3784097378411655) q[2];
ry(1.1828999262095925) q[3];
ry(0.340906106192935) q[4];
ry(1.9062413061506982) q[5];
ry(-0.11416065034622636) q[6];
ry(1.6653295183540657) q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIZIIIIZ",
"IZIIIIIIIZ",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"ZIIIIIIZII",
"ZIIIIIZIII",
"IIIIIZZIII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIZIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
0,
-0.5,
-1.5,
0,
-0.5,
-0.5,
-0.5,
0
] | 0.979064 | [
0.049719273283599714,
1.6653295183540657,
1.3784097378411655,
1.1828999262095925,
0.340906106192935,
1.9062413061506982,
-0.11416065034622636,
1.565355857852402,
-0.0446016584336146,
-0.10313536764715953,
-0.2250068902776529,
0.08314115508927897,
0.03156182849421185,
0.16457967204601381,
... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 17 |
bf3ec5b79f8955f472cb6ac1b88c1910 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [3, 63], "expectation_value": -4.335777917378978, "params": null, "bitstrings": ["1111100", "1000000"], "total_optimization_steps": 65, "probabilities": [0.10092551742810486, 0.4968437275028238], "optimization_time": 72.90518140792847} | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.25 * Z(6) + 0.5 * Z(1) + -0.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.030506047325823155) q[0];
h q[1];
ry(0.9626531012769405) q[1];
h q[2];
ry(0.7812508056207816) q[2];
h q[3];
ry(0.7812508056207816) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7812508056207816) q[3];
cx q[4], q[3];
cx q[3], q[1];
ry(-0.9626531012769405) q[1];
cx q[3... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5486) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIZIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IIZZIII",
"IIIZIZI",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII"
] | [
-0.25,
-0.25,
0.5,
-0.75,
-0.5,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0.5,
-0.25,
0.5,
0.25
] | 0.951722 | [
1.5625016112415633,
1.925306202553881,
1.2541936550988508,
1.4110912127349848,
-0.06101209465164631,
-1.7685038255782743,
-1.804348101458756,
1.9589904075550268,
-1.8509833662241,
0.03816537342584572,
-1.3333242559645757,
0.9913171017473899,
-0.01566841648661444,
0.1802021332140572,
2.98... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 500 |
4699833057750606476 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 3, 5, 6], [8, 2], [8, 4, 5], [0, 1, 5, 7, 9], [9, 2, 3, 4], [0, 2, 4, 5, 9], [0, 1, 4], [0, 2, 6], [0, 9, 1, 6], [1, 2, 4, 5, 9], [1, 5, 6, 7], [1, 2, 3, 6], [8, 0, 4, 6], [1, 3, 6, 9]]} | {"states": [440, 441], "expectation_value": -3.3768508788181526, "params": [[[0.6599, 0.006200000000000001, 0.0071, 0.0086], [0.0022, 0.8771, 1.5730000000000002, 0.0079], [3.1437, 0.006500000000000001, 0.0066, 0.0051], [1.5215, 0.003, 0.7654000000000001, 0.0037], [3.1448, 0.007200000000000001, 0.0044, 0.0008], [0.00290... | 0.25 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.26666666666666666 * (Z(5) @ Z(1)) + 0.25 * (Z(6) @ Z(3)) + 0.41666666666666663 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.08333333333333333 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.133333... | 12 | 10 | 1 | {"smallest_eigenvalues": [-3.5666666666666664], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3500000000000005, "smallest_bitstrings": ["1001000110"], "largest_eigenvalue": 13.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.18980644619845516) q[0];
rz(0.11458223127596301) q[0];
ry(0.1099813402383094) q[1];
rz(0.7985675854804392) q[1];
cz q[1], q[0];
ry(2.8276513439365356) q[1];
ry(3.179599514929347) q[2];
rz(-0.17191504009289038) q[2];
ry(1.4824220439040667) q[3];
rz(0.12297147667101... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIZIZI",
"IIIIZIZIII",
"IIIIZIIIZI",
"IIIZIIZIII",
"IIIZIIIIZI",
"IIIZZIIIII",
"IZIIZIIIII",
"IZIZIIIIII",
"IIIIIIZZII",
"IIIIIIIZZI",
"IIIIZIIZII",
"IIIZIIIZII",
"IZIIIIIZII",
"IIIIIZZIII",
"IIIIIZIIZI",
"IIIIZZIIII",
"IIIZIZIIII",
"IZIIIZIIII",
"IIIIIZIZII",
"IIIIIIIIZZ"... | [
0.25,
0.08333333333333333,
0.26666666666666666,
0.25,
0.41666666666666663,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.13333333333333333,
0.1,
0.25,
0.5,
0.08333333333333333,
0.21666666666666667,
0.26666666666666666,
0.08333333333333333,
0.... | 0.971767 | [
0.18980644619845516,
0.11458223127596301,
0.1099813402383094,
0.7985675854804392,
3.179599514929347,
-0.17191504009289038,
1.4824220439040667,
0.1229714766710148,
3.207530779851633,
0.1149630440751058,
-0.05084374978917042,
-0.8038143417375258,
3.083746410624445,
0.11868735392136157,
1.3... | {
"n_parameters": 28,
"n_qubits": 10,
"optimal_eigenvalue": -3.5666666666666664,
"target_ratio": 0.97,
"target_value": -3.4596666666666662
} | 12 |
6125947611399702618 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 5], [0, 4], [3, 5], [0, 3], [1, 3]]} | {"states": [14, 49], "expectation_value": -0.029646048052915652, "params": [[-0.0512], [0.0653]], "bitstrings": ["110001", "001110"], "total_optimization_steps": 10, "probabilities": [0.016493871550225796, 0.016564667226760584], "optimization_time": 0.828948974609375} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * Z(2) + 0.16666666666666674 * Z(0) + 0.16666666666666663 * Z(5) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 *... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.23166934074986875) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.23166934074986875) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.2316693407498689) q[2];
rx(0.7623464179946611) q[2];
rz(-0.23166934074986875) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"IZIIIZ",
"IIZIIZ",
"ZIZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIZIII",
"IIIIZI"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666674,
0.16666666666666663,
0,
0,
0
] | 0.459863 | [
-0.23166934074986875,
-0.8487932375188828,
0.0913284032911582,
0.7623464179946612
] | {
"n_parameters": 4,
"n_qubits": 6,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 113 |
f4866d34fc4832d3ba3211e9f23410a9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 3}, {"weight": 8, "source... | {"states": [248, 220], "expectation_value": -13.032355548073765, "params": [[0.0351], [-0.0852]], "bitstrings": ["100000111", "100100011"], "total_optimization_steps": 10, "probabilities": [0.004482794346201305, 0.0050244979169986334], "optimization_time": 1.7566328048706055} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(5)) + 11.0 * Z(1) + 0.5 * Z(0) + 9.5 * Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 157.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0077842888156029345) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.0077842888156029345) q[2];
cx q[0], q[2];
rz(-1.4012324936476928) q[0];
rx(-1.6022278951510165) q[0];
h q[3];
cx q[2], q[3];
rz(-0.0077842888156029345) q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
11,
0.5,
9.5,
14,
25,
18,
13,
1,
0
] | 0.970901 | [
-0.0077842888156029345,
1.5980764235390623,
-1.401232493647693,
1.7151950705552013,
4.454033071216039,
1.4732084922386033,
1.6990564055392747,
0.99659235501385,
-1.616279104785361,
-1.965619307031236,
-1.6022278951510165
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 61 |
7e799239f8573f120a2c5e15cda2e88f | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [12, 8], "expectation_value": -0.06974579466128787, "params": [[0.0775], [-0.07060000000000001]], "bitstrings": ["0011", "0111"], "total_optimization_steps": 10, "probabilities": [0.06650817902319489, 0.06666276707587734], "optimization_time": 0.917550802230835} | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0111"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.013661432647873829) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.47799463725369296) q[1];
h q[2];
ry(1.609883237122917) q[2];
h q[3];
ry(1.609883237122917) q[3];
h q[4];
cx q[4], q[1];
ry(0.47799463725369296) q[1];
cx q[4], q[1];
ry(-0.6440649203767641) q[1];
ry(0.9857223264... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) ... | null | {"circuits": [], "gradients": []} | [
"IZZI",
"IIZZ",
"IZIZ",
"IZZZ",
"ZIIZ",
"IIZI",
"IZII",
"IIIZ",
"ZIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.75,
-0.75,
-0.25,
-1
] | 0.994711 | [
-1.5961244559276881,
1.609883237122917,
-0.9559892745073859,
0.7778346010594781,
-0.4321667361998622,
0.4157754507244771,
-0.42379636835380385,
0.245207488748664,
-0.0379388834944252,
0.03472662903914467,
0.0730459640739915,
0.07797912356133081,
-0.0856693429277921
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 1 |
5484017736745223261 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[6, 7], [1, 5, 6], [1, 2, 3, 4, 6, 8], [8, 0, 4, 6], [0, 2, 4, 5, 6], [1, 3, 5, 7]]} | {"states": [507, 475], "expectation_value": -1.5349118795516907, "params": [1.4912, 0.0024000000000000002, 1.4854, 0.0097, 1.4487, -0.0023, 1.1248, -0.0019, 1.0914000000000001, -0.37070000000000003, 1.0845, 0.0085, 1.4923000000000002, 0.5253, 1.4957, 0.5364, 1.4887000000000001, -0.0043, 1.4894, 0.0037, 1.4858, 0.020800... | 0.5 * (Z(6) @ Z(7)) + 0.08333333333333333 * (Z(1) @ Z(7)) + 0.19999999999999998 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(7)) + 0.21666666666666667 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(1)) + 0.08333333333333334 * (Z(2) @ Z(6)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.05 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z... | 8 | 9 | 1 | {"smallest_eigenvalues": [-1.7333333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6500000000000006, "smallest_bitstrings": ["000100100"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[6];
rz(1.4726787105689666e-05) q[6];
cx q[7], q[6];
cx q[7], q[1];
rz(-5.971621698612192e-06) q[1];
cx q[7], q[1];
cx q[6], q[1];
rz(6.651411792023383e-06) q[1];
cx q[6], q[1];
cx q[7], q[5];
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": []} | [
"IZZIIIIII",
"IZIIIIIZI",
"IIZIIIIZI",
"IZIZIIIII",
"IIZZIIIII",
"IIIZIIIZI",
"IIZIIIZII",
"IIIIIIZZI",
"IIIZIIZII",
"IZIIIZIII",
"IIZIIZIII",
"IIIIIZIZI",
"IIIZIZIII",
"IIIIIZZII",
"IIZIZIIII",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIZIZII",
"IIIIZZIII",
"ZIZIIIIII",
"ZIIIIIIZI",
"... | [
0.5,
0.08333333333333333,
0.19999999999999998,
0.08333333333333333,
0.21666666666666667,
0.25,
0.08333333333333334,
0.03333333333333333,
0.05,
0.08333333333333333,
0.03333333333333333,
0.11666666666666667,
0.08333333333333333,
0.03333333333333333,
0.16666666666666669,
0.033333333333333... | 0.951923 | [
0.000014726787105689666,
-0.000005971621698612192,
0.000006651411792023383,
-0.00000294298865765862,
-0.000009510797534072548,
-0.000001636565282441068,
0.000005407692447074397,
0.0000024626622537176177,
8.898837316419673e-7,
0.000011587420890666557,
1.5707888850586618,
-1.5707916699759756,
... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -1.7333333333333336,
"target_ratio": 0.97,
"target_value": -1.6813333333333336
} | 500 |
5b1b8be5e968ea2e2c88472859e2d934 | 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": 10}, {"capacity": 5, "source": 0, "target": 11}, {"capacity": 1, "source"... | {"states": [1, 2047], "expectation_value": -18.754116281740156, "params": [[[-0.0028, 0.0026000000000000003], [-0.0028, 1.5799], [-0.0032, -0.003], [0.0028, -0.0029000000000000002], [-0.0016, 0.0022], [-0.003, -0.0024000000000000002], [-0.0032, -0.0031000000000000003], [-0.0029000000000000002, -0.003], [-0.0035, -0.003... | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(2)) + 0.75 * (Z(3) @ Z(0)) + -1.5 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(3)) + -0.25 * (Z(1) @ Z(7)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(1)) + -1.0 * (Z(9) @ Z(3)) + -0.75 * (Z(9) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(9)) + -1.0 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.25, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 32.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.12979768535035865) q[0];
ry(-0.005159215432228456) q[1];
ry(0.045359759450975826) q[2];
ry(0.017015341713928822) q[3];
ry(-0.034501380695975525) q[4];
ry(0.18337295216062818) q[5];
ry(-0.1957496682117164) q[6];
ry(0.15682832767453742) q[7];
ry(-0.2394921201247145... | OPENQASM 3.0;
include "stdgates.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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIZIIIIZII",
"IIIIZIIIZIII",
"IIIIZIIIIIZI",
"IIIZIIIIZIII",
"IIIZIIIIIIZI",
"IIZIIIIIZIII",
"IIZIIIIIIIZI",
"IIIIIIIZIIZI",
"IIZIIIIZIIII",
"IIIIIIZIIZII",
"IIZIIIZIIIII",
"IIIIIIZZIIII",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IZIIIIIII... | [
-0.5,
-1.25,
0.75,
-1.5,
-1.25,
-0.25,
-0.75,
-0.25,
-1,
-0.75,
-0.5,
-0.5,
-1,
-0.5,
-1.5,
-0.25,
-1,
-0.5,
-1,
-1,
-1.5,
-0.75,
-1.5,
3.75,
-0.25,
-5.5,
-2,
0.75,
0.5,
0.25,
1.5,
-3,
-0.25,
2,
2.25
] | 0.970049 | [
-0.12979768535035865,
-0.005159215432228456,
0.045359759450975826,
0.017015341713928822,
-0.034501380695975525,
0.18337295216062818,
-0.1957496682117164,
0.15682832767453742,
-0.23949212012471457,
0.005027699293024372,
-1.1284665703303074,
-0.16059897981806692,
-0.013014334539601782,
0.022... | {
"n_parameters": 55,
"n_qubits": 12,
"optimal_eigenvalue": -19.25,
"target_ratio": 0.97,
"target_value": -18.6725
} | 58 |
d2e3f71e5c020057da0dd1812bdf6517 | graph_coloring | 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}, {"source": 2, "target": 3}]} | {"states": [57214, 56190], "expectation_value": -13.438419707680879, "params": [0.6981, 0.046200000000000005, 1.0027000000000001, -0.0204, 0.8634000000000001, 0.0092, 0.8804000000000001, -0.0323, 0.43760000000000004, 0.47840000000000005, 0.17220000000000002, 0.4602, 0.8449000000000001, 0.0558, 0.8794000000000001, -0.02... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z... | 5 | 16 | 2 | {"smallest_eigenvalues": [-13.999999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.999999999999911, "smallest_bitstrings": ["0010010010000001"], "largest_eigenvalue": 45.99999999999993} | 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] 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... | {"number_of_colors": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0... | 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 |
ed46de376d1660326c9e503ea9950a07 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [1, 3], "expectation_value": -23.349967250771613, "params": [[[0.5644, 0.0181], [0.2558, -0.2451], [0.1484, -0.3244], [0.2172, -0.2851], [0.2076, -0.2884], [0.7922, 0.0038], [0.799, 0.0037]], [[0.5631, 0.0098], [0.25570000000000004, 0.0001], [0.1459, 0.0073], [0.2104, 0.005200000000000001], [0.2024, 0.002], ... | 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... | 1 | 7 | 2 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.06885345192683487) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.06885345192683487) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.06885345192683487) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.06885345192683487) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
-10,
-10,
-10.5,
-10,
-10,
-9.25,
-9.25
] | 0.975493 | [
0.06885345192683487,
0.22761518371396905,
1.6693107203407738,
1.8112030378322537,
-0.6694555841207032,
0.46345917959819155,
-0.0049250157682909634,
-0.1730709160346522,
0.046383083187558294,
-0.13700343575253615,
-0.6684023739074303,
1.0372311699561239,
0.5016828164711846,
0.47691842854795... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 39 |
98ff52dd3a46eb29e6baf499c47cc739 | edge_cover | adaptive_vqe | {"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": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [7, 35], "expectation_value": -2.1181416555577193, "params": null, "bitstrings": ["111000", "011100"], "total_optimization_steps": 24, "probabilities": [0.05107453549901371, 0.9399494395431499], "optimization_time": 23.01382040977478} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ 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(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.125, "smallest_bitstrings": ["010110", "011010", "011001", "101001", "111000", "011100"], "largest_eigenvalue": 4.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx q[2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZZII",
"IZIZII",
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"IZZIII",
"ZIZIII",
"ZZIIII",
"IZZIIZ",
"ZIZIIZ",
"ZZIIIZ",
"ZZZIII",
"ZZZIIZ",
"ZIIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.125,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125
] | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
ab05d106c82b2c06d5e9031643e50140 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -14.29388034287422, "params": [[[-0.0252, 0.0021000000000000003], [0.0025, -0.0019], [-0.0008, -0.0025], [-0.0014, -0.0024000000000000002], [-0.0079, 0.0022], [-0.0035, -0.0021000000000000003], [0.0118, 0.0024000000000000002], [-0.008700000000000001, 0.0023], [0.00240000000... | -0.25 * (Z(0) @ Z(10)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(9) @ Z(10)) + -0.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.75 * (Z(2) @ Z(10)) + 0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(8) @ Z(10)) + -0.75 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(9)) + -1.5 * (Z... | 15 | 11 | 3 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.75, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.11908466725953044) q[0];
ry(-0.0270905732582413) q[1];
ry(0.2190440916766306) q[2];
ry(0.01448872955257352) q[3];
ry(0.2751186901665706) q[4];
ry(0.18781653820385558) q[5];
ry(-0.02296736479026594) q[6];
ry(0.10792146849543316) q[7];
ry(-0.03992143998323143) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"ZIIIIIIIIIZ",
"IIIIIIZIIZI",
"ZZIIIIIIIII",
"IZIIIIZIIII",
"IZIIIIIIIZI",
"ZIIIIIIIZII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IZIIIIIZIII",
"IIIIIIIZZII",
"ZIZIIIIIIII",
"IIZIIIZIIII",
"IZZIIIIIIII",
"IIZIIIIZIII",
"ZIIIIZIIIII",
"IIIIIZZIIII",
"IZIIIZIIIII",
"IIIIIZIIZII",
"IIZIIZIII... | [
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
-0.75,
0.5,
-0.25,
-1,
-0.5,
-1.25,
-0.75,
-0.25,
-1.5,
-0.75,
-0.75,
-0.25,
-0.25,
-1,
-0.5,
-1,
-0.25,
-0.5,
-0.75,
1,
-0.25,
-1,
1,
0.5,
-1.25,
0,
0.75,
-1.5,
0.75,
0
] | 0.972037 | [
-0.11908466725953044,
-0.0270905732582413,
0.2190440916766306,
0.01448872955257352,
0.2751186901665706,
0.18781653820385558,
-0.02296736479026594,
0.10792146849543316,
-0.03992143998323143,
-1.3664008922974786,
-0.259238173041442,
0.006278281986306089,
-0.043971318518778724,
-0.03786061359... | {
"n_parameters": 50,
"n_qubits": 11,
"optimal_eigenvalue": -14.75,
"target_ratio": 0.97,
"target_value": -14.3075
} | 41 |
-753582520431897867 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [0, 1, 3], [3, 5], [1, 2, 3, 6], [4, 5, 6], [0, 6], [2, 5]]} | {"states": [85, 102], "expectation_value": -3.8163916471489756e-17, "params": [[0.0038, 0.003, 0.0006000000000000001, 0.0027, 0.0048000000000000004, 0.0081, 0.0048000000000000004]], "bitstrings": ["0101010", "0011001"], "total_optimization_steps": 10, "probabilities": [0.007813323963290457, 0.007813323963290457], "opti... | 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.25 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.0... | 9 | 7 | 1 | {"smallest_eigenvalues": [-2.4166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3333333333333335, "smallest_bitstrings": ["0011001"], "largest_eigenvalue": 5.000000000000001} | 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[3];
rz(-1.0031696384381728) q[3];
cx q[4], q[3];
cx q[3], q[0];
rz(0.005285646077233666) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.41684429347502816) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.005285646077233666) q[1];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], ... | null | {"circuits": [], "gradients": []} | [
"IIZZIII",
"IIIZIIZ",
"IIIZIZI",
"IIIIIZZ",
"IZZIIII",
"IZIZIII",
"IIIZZII",
"IIIIZZI",
"IZIIZII",
"ZIZIIII",
"ZIIZIII",
"ZIIIIIZ",
"ZIIIIZI",
"ZZIIIII",
"ZIIIZII",
"IIZIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.16666666666666666,
0.25,
0.16666666666666666,
0.16666666666666666,
0.5,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666663,
0.2916666666666665,
0.166... | 0.584568 | [
-1.0031696384381728,
0.005285646077233666,
-0.41684429347502816,
0.11916610801287421,
-0.5479751964704753,
-0.13238989505551232,
0.8185861081948824
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -2.4166666666666665,
"target_ratio": 0.97,
"target_value": -2.3441666666666663
} | 177 |
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