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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
4604930777967587027 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 5, 7], [0, 3, 4, 6], [0, 1, 3, 6], [2, 6], [8, 7]]} | {"states": [54, 182], "expectation_value": -1.6361407934207608, "params": null, "bitstrings": ["111001001", "101001001"], "total_optimization_steps": 74, "probabilities": [0.09832213437690493, 0.49242747889581023], "optimization_time": 147.41831469535828} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.08333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["000001101", "011010001", "001100001", "000000110", "101000010", "101001001"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.014584098591969685) q[3];
cx q[4], q[3];
h q[5];
cx q[4], q[5];
rz(0.05065156303705011) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.05065156303705011) q[5];
cx q[3], q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(0.05065... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.3016) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IZIIZIIII",
"IZIIIZIII",
"IZIZIIIII",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIZIZIIII",
"IIZIIZIII",
"IIZIIIIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIZII",
"ZZIIIIIII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIIIZ",
"... | [
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.083333333333333... | 0.971523 | [
0.014584098591969685,
0.05065156303705011,
-2.999650431684232,
-1.730827652616139,
-1.0521113295864424,
-1.389996720006117,
1.5509111255346282,
1.555581414400307
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -1.75,
"target_ratio": 0.97,
"target_value": -1.6975
} | 63 |
9228e28ac03945898edc42576cc2cbcf | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 8}, {"sour... | {"states": [73, 77], "expectation_value": -4.056658004160712, "params": [[0.0067, -0.0217, 0.8216, 0.0026000000000000003, -0.0183, 0.7854, 0.2844, -0.0381, 0.7946000000000001], [0.0035, 0.0029000000000000002, 0.7888000000000001, 0.0023, -0.020900000000000002, 0.904, 0.9065000000000001, 0.0175, 0.7704000000000001], [-0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + 0.0 * Z(8) + -0.5 * Z(7) + 0.0... | 10 | 9 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.5, "smallest_bitstrings": ["110011010", "010111010", "110110010", "110001110", "100110011", "011111000", "111110000", "001111001", "101110001", "000111011"], "largest_e... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.06417568371031358) q[0];
ry(0.031177780820139105) q[1];
ry(1.0624676296860502) q[2];
ry(-0.03323241474704787) q[3];
ry(-0.1019678475859791) q[4];
ry(0.6136425410646218) q[5];
ry(0.3783607703450506) q[6];
ry(0.018035975678165436) q[7];
ry(0.613597487986477) q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIIIZIZI",
"ZIIIIIIZI",
"IZIIIZIII",
"IZIIIIZII",
"IIZIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-0.5,
0,
-0.5,
0,
0
] | 0.972961 | [
-0.06417568371031358,
0.031177780820139105,
1.0624676296860502,
-0.03323241474704787,
-0.1019678475859791,
0.6136425410646218,
0.3783607703450506,
0.018035975678165436,
0.613597487986477,
-0.09425457002999932,
0.0076715362595767694,
0.6374558831558299,
-0.18936404917500768,
-0.008196991670... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 10 |
2e176b1388169c31718c374b42e0c725 | 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": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [70, 63], "expectation_value": -3.8557345323839898, "params": null, "bitstrings": ["0111001", "1000000"], "total_optimization_steps": 52, "probabilities": [0.061725432789195255, 0.6825766806121321], "optimization_time": 50.895758628845215} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 0.0 * Z(1) + -0.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.3830779787968251) q[0];
ry(-0.14730277028732375) q[1];
ry(0.2538099171114016) q[2];
ry(-0.257984861099843) q[3];
ry(-0.3976519478359509) q[4];
ry(-0.08193555877137179) q[5];
ry(2.987372434386749) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIIZZI",
"IZIZIII",
"ZIIZIII",
"IIIZZII",
"IZZIIII",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
0.25,
-0.25,
-0.75,
0,
-0.25,
0.25,
0.75
] | 0.973055 | [
-0.3830779787968251,
-0.14730277028732375,
0.2538099171114016,
-0.257984861099843,
-0.3976519478359509,
-0.08193555877137179,
2.987372434386749,
-0.2506718433023688,
0.13138656850175684,
0.08791202870362592,
0.05729874253553658,
-0.066058617225672,
-0.008338066771797888,
0.0017510417082033... | {
"n_parameters": 27,
"n_qubits": 7,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 42 |
7526625195088069559 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 2, 4, 5, 7, 8, 9], [2, 5, 6, 7, 8, 9], [1, 5, 7, 8, 9], [3, 7], [1, 2, 4, 5, 8, 9], [1, 3, 4, 8, 9]]} | {"states": [957, 829], "expectation_value": -1.3629654295251765, "params": [1.0736, 1.1814, 1.4455, 1.4912, 0.6346, 0.6069, 0.1749, 0.1179, 1.4973, 1.4972, 1.4788000000000001, 1.473, 1.4979, 1.4978, 1.4803000000000002, 1.4798, 1.4979, 1.487, 1.4814, 1.4791, 1.3113000000000001, 1.4898, 1.395, 0.6114, 0.2717, 0.435, 0.06... | 0.023809523809523808 * (Z(0) @ Z(2)) + 0.05714285714285714 * (Z(4) @ Z(2)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.09047619047619047 * (Z(5) @ Z(2)) + 0.023809523809523808 * (Z(5) @ Z(0)) + 0.05714285714285714 * (Z(5) @ Z(4)) + 0.05714285714285714 * (Z(7) @ Z(2)) + 0.023809523809523808 * (Z(7) @ Z(0)) + 0.0238095238... | 14 | 10 | 1 | {"smallest_eigenvalues": [-1.4904761904761905, -1.4904761904761905, -1.4904761904761905, -1.4904761904761905, -1.4904761904761905, -1.4904761904761905, -1.4904761904761905, -1.4904761904761905, -1.4904761904761905], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.49047619047619, "smallest_bitstrings": [... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5069915083826693) q[0];
rz(pi/2) q[0];
ry(1.4231371025185766) q[1];
ry(0.22562064305036333) q[2];
ry(-0.0654091621484381) q[3];
ry(1.5808259751860896) q[4];
ry(1.4981299044581078) q[5];
ry(1.5602908902604395) q[6];
ry(1.5712209748246957) q[7];
ry(1.560290890260439... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIIIZIIZII",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZIIZIIII",
"IIZIZIIIII",
"IZIIIIIZII",
"IZIIIIIIIZ",
"IZIIIZIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIIZIIIII",
"ZIZIIIIIII"... | [
0.023809523809523808,
0.05714285714285714,
0.023809523809523808,
0.09047619047619047,
0.023809523809523808,
0.05714285714285714,
0.05714285714285714,
0.023809523809523808,
0.023809523809523808,
0.10714285714285715,
0.09047619047619047,
0.023809523809523808,
0.10714285714285715,
0.140476190... | 0.972359 | [
1.5069915083826693,
1.4231371025185766,
0.22562064305036333,
-0.0654091621484381,
1.5808259751860896,
1.4981299044581078,
1.5602908902604395,
1.5712209748246957,
1.4279168561922455,
1.379836040219377,
0.02587456206496838,
0.5823475504536536,
0.6822392477010453,
0.08875861261633491,
0.215... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -1.4904761904761905,
"target_ratio": 0.97,
"target_value": -1.4457619047619048
} | 21 |
081a3ef2a02910794db9cb14b9d27e2c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [10, 17], "expectation_value": -0.31438948501822556, "params": [[-0.0507, -0.061500000000000006, -0.0781], [0.0495, 0.0614, 0.0712]], "bitstrings": ["10101", "01110"], "total_optimization_steps": 10, "probabilities": [0.041407813887111636, 0.041407813887111636], "optimization_time": 2.4106645584106445} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10101", "01110", "11100", "10011", "01011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3032958163120794) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3032958163120794) q[0];
cx q[2], q[0];
rz(0.8552742360724439) q[0];
rx(0.459671657095483) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.3032958163120794) q[3];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"IZZII",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.971835 | [
-0.3032958163120794,
0.8552742360724437,
0.459671657095483,
-0.19969798362318422,
-0.5347021902916858,
0.39881531451821206,
-0.8390846379262727,
0.5552620141921045,
0.31915477986402796,
-0.8857236685748646,
1.4111741889625347,
0.36007566681044045
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 49 |
-307435640922553512 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 4, 6], [8, 9, 2, 4], [0, 1, 2, 3, 4], [0, 3, 4, 6, 7], [0, 3, 5, 6, 7], [0, 1, 9, 7], [8, 9, 0, 6], [9, 2, 5, 1], [8, 1, 4, 0], [9, 3, 6], [9, 5, 6], [1, 3, 7], [1, 2, 3, 6, 8], [9, 3, 1], [2, 3, 4, 7, 8], [0, 1, 2, 4, 9], [0, 2, 5, 7], [8, 1, 5, 7], [0, 1... | {"states": [0, 986], "expectation_value": 0.9950794881928889, "params": [0.7063, -0.0021000000000000003, 0.7076, 0.0073, 0.6996, 0.0026000000000000003, 0.6961, 0.0032, 0.7036, -0.0021000000000000003, 0.7028, 0.007200000000000001, 0.7028, 0.0023, 0.7059000000000001, 0.009600000000000001, 0.7032, 0.0029000000000000002, 0... | 0.4833333333333333 * (Z(1) @ Z(2)) + 0.31666666666666665 * (Z(4) @ Z(2)) + 0.35 * (Z(4) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.18333333333333335 * (Z(8) @ Z(2)) + 0.21666666666666667 * (Z(8) @ Z(1)) + 0.21666666666666667 * (Z(8) @ Z(... | 6 | 10 | 1 | {"smallest_eigenvalues": [-5.000000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.58333333333333, "smallest_bitstrings": ["0000100101"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.5120688527843615) q[0];
rz(1.5367634770572751) q[0];
rx(0.9966163930035564) q[1];
rz(1.5905385069736884) q[1];
rx(1.7468066449569604) q[2];
rz(1.5367634770572751) q[2];
rx(1.583201493177061) q[3];
rz(1.5127477042192474) q[3];
rx(2.9683054636499726) q[4];
rz(1.7287... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIZIIIZII",
"IIIZIIIIZI",
"IIIZIZIIII",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZIZIIIIII",
"ZIIIIIIZII",
"ZIIIIIIIZI",
"ZIIIIZIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIZIIIZ",
"IIIZIIIIIZ",
"IZIIIIIIIZ"... | [
0.4833333333333333,
0.31666666666666665,
0.35,
0.13333333333333333,
0.13333333333333333,
0.13333333333333333,
0.18333333333333335,
0.21666666666666667,
0.21666666666666667,
0.13333333333333333,
0.21666666666666667,
0.3833333333333333,
0.13333333333333333,
0.41666666666666663,
0.166666666... | 0.970071 | [
2.5120688527843615,
-0.0340328497376217,
0.9966163930035564,
0.019742180178792354,
1.7468066449569601,
1.583201493177061,
-0.058048622575648794,
2.9683054636499726,
0.15792979136070784,
0.734229122781662,
-0.026066826289391765,
1.5825269156144983,
0.01313495394757578,
3.3144643161273595,
... | {
"n_parameters": 45,
"n_qubits": 10,
"optimal_eigenvalue": -5.000000000000002,
"target_ratio": 0.97,
"target_value": -4.850000000000001
} | 314 |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [14, 7], "expectation_value": -12.718128961070258, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 66, "probabilities": [0.10584323864462455, 0.6130206780999486], "optimization_time": 113.78823518753052} | 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(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 16 | 7 | 1 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-1.5707963530338787) q[0];
rx(1.5707962896601955) q[0];
h q[1];
rz(2.6179939068628233) q[1];
rx(1.5707962896601952) q[1];
h q[2];
rz(1.570796224356533) q[2];
rx(1.5707962896601952) q[2];
h q[3];
rz(2.6179939068628233) q[3];
rx(1.5707962896601952) q[3];
h q[4]... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-2.75,
-2.75
] | 0.84375 | [
9.350486944272168e-10,
1.570796358080628,
-1.5707963530338784,
2.6179939068628233,
1.5707962243565334,
1.5707962896601955
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 161 |
f3001bcf3b02245c00ca9c4405d33229 | 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": 1, "source": 0, "target": 1}, {"weight": 19, "source": 1, "target": 2}, {"weight": 9, "source": 2, "target": 3}, {"weight": ... | {"states": [500, 372], "expectation_value": -93.99128390790096, "params": [0.15610000000000002, 0.01, 0.8488, 0.2086, 1.086, 0.3195, 0.9325, 0.0966, 0.8403, 0.0488, 1.034, -0.019700000000000002, 0.10830000000000001, -0.1393, 1.0468, -0.10020000000000001, -0.6028, -0.27, 0.2727, 0.40700000000000003, 0.15660000000000002,... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) @ Z(7)) + 15.0 * Z(1) + -5.0 * Z(0) + 15.5 *... | 4 | 10 | 3 | {"smallest_eigenvalues": [-102.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["1010001011"], "largest_eigenvalue": 177.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.17159998284329872) q[0];
rz(1.4034219742397411) q[0];
rx(0.7589150770927459) q[1];
rz(1.573788765689832) q[1];
rx(1.2484387399870223) q[2];
rz(2.005049775138753) q[2];
rx(0.8925363702546435) q[3];
rz(1.623330721330503) q[3];
rx(0.7881212032392343) q[4];
rz(1.5497... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIZIIZII",
"IIIIIZIZII",
"IIIIZZIIII",
"IIZIIIZIII",
"IIIZIZIIII",
"IIZZIIIIII",
"ZIIIIIZIII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
15,
-5,
15.5,
21,
13.5,
13,
14.5,
0.5,
10,
-8
] | 0.970159 | [
-0.1715999828432987,
-0.16737435255515418,
0.7589150770927459,
0.0029924388949353065,
1.2484387399870223,
0.43425344834385665,
0.8925363702546435,
0.05253439453560626,
0.7881212032392342,
-0.02103520949182408,
0.7778677343767012,
-0.16448312591226436,
0.262581653368322,
-0.2126691184634316... | {
"n_parameters": 87,
"n_qubits": 10,
"optimal_eigenvalue": -102.5,
"target_ratio": 0.97,
"target_value": -99.425
} | 13 |
a09fd8263c85c42edd74a3289977a8b3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, ... | {"states": [89, 83], "expectation_value": -3.9991518136789104, "params": null, "bitstrings": ["0100110", "0101100"], "total_optimization_steps": 31, "probabilities": [0.0662083106340674, 0.9331798199285191], "optimization_time": 29.89132595062256} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(6) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101000", "0100110", "0101100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.4446042738877054) q[0];
h q[1];
ry(-1.512918051750911) q[1];
h q[2];
ry(1.4083247625887707) q[2];
h q[3];
ry(-0.5293131049864891) q[3];
ry(-0.06356997376493063) q[4];
rz(-pi) q[4];
cx q[0], q[4];
ry(0.06807093250432301) q[4];
cx q[0], q[4];
ry(0.04569507312... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIZIIIZ",
"IZIIIZI",
"ZIIIIZI",
"IIIIZZI",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
0,
0,
-0.5
] | 0.997461 | [
-1.512918051750911,
-1.439155420525643,
1.4083247625887707,
1.4446042738877054,
-1.0586262099729782,
0.8527889513936574,
-0.5206824694219505,
0.47082154490311495,
-0.373057902669777,
0.1724643384691928,
-0.05455145390818787,
-0.13614186500864603,
0.09139014624875148,
0.11011063072071392,
... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
3d2c4840fc401bce028fec43ca4ea0a2 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [1918, 1882], "expectation_value": -6.5620274769490665, "params": [[-0.045700000000000005, -0.0322, -0.1086], [0.15080000000000002, 0.13290000000000002, 0.1426]], "bitstrings": ["00010000001", "00010100101"], "total_optimization_steps": 20, "probabilities": [0.0020616005689756325, 0.0020616005689756346], "op... | 0.5 * (Z(0) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.8571428571428572 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.4285714285714286 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(9)) + 0.8571428571428572 * (Z(2) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(0)) + -1.0 * (Z... | 1 | 11 | 3 | {"smallest_eigenvalues": [-10.857142857142858, -10.857142857142858], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.857142857142856, "smallest_bitstrings": ["00010100101", "00010100011"], "largest_eigenvalue": 47.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[8], q[0];
rz(0.15782028983107857) q[0];
cx q[8], q[0];
h q[9];
cx q[8], q[9];
rz(0.36812915075286373) q[9];
cx q[8], q[9];
cx q[0], q[9];
cx q[8], q[1];
rz(0.36812915075286373) q[1];
cx 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": 4} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIZ",
"IZZIIIIIIII",
"IZIIIIIIIIZ",
"IIZIIIIIIZI",
"IIIIIIIIIZZ",
"IZIIIIIIIZI",
"IIZIIIIIZII",
"IIIIIIIIZIZ",
"IZIIIIIIZII",
"IIIIIIIIZZI",
"IIZIIZIIIII",
"IIIIIZIIIIZ",
"IZIIIZIIIII",
"IIIIIZIIIZI",
"IIIIIZIIZII",
"IIZIZIIIIII",
"IIIIZIIIIIZ",
"IZIIZIIIIII",
"IIIIZIIII... | [
0.5,
1,
0.5,
1,
0.8571428571428572,
1,
0.5,
0.4285714285714286,
0.5,
0.8571428571428572,
-1,
-0.5,
-1,
-1,
-0.5,
-2,
-1,
-2,
-2,
-1,
2,
-2,
-1,
-2,
-2,
-1,
2,
4,
-0.5,
-1,
0.8571428571428572,
-1,
0.2142857142857142,
-1,
0.4285714285714288,
0.2142... | 0.904037 | [
0.15782028983107857,
0.36812915075286373,
0.05367908482160037,
0.2464404202822934,
-0.04684657549976737,
0.042948120839398043,
-0.0008992340614827807,
-0.00236230102455015,
-1.2184746032078073,
1.3077127976608063,
-0.02531249096974855,
0.572218930085531,
-1.3081093294457733,
0.787084670344... | {
"n_parameters": 26,
"n_qubits": 11,
"optimal_eigenvalue": -10.857142857142858,
"target_ratio": 0.97,
"target_value": -10.531428571428572
} | 500 |
f7a2e822dca9db2509fff57c86b9eea0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [129, 131], "expectation_value": -4.524889373446898, "params": [0.8037000000000001, 0.1316, 0.8087000000000001, 0.004200000000000001, 0.3276, -0.3708, 0.3164, 0.00030000000000000003, 0.7228, 0.4033, 0.7255, 0.0058000000000000005, -0.0037, 0.4313, -0.0037, 0.0057, -0.0025, -0.26830000000000004, -0.0059, 0.009... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * Z(1) ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["01011101", "01111100", "10101110", "10100111"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.7929204230509156) q[0];
rz(-0.5109508370064488) q[0];
rx(0.21626521534281903) q[1];
rz(-0.8299115932104035) q[1];
rx(1.153099708596557) q[2];
rz(1.0504680097714756) q[2];
rx(-0.005436768466226404) q[3];
rz(0.4833676928970707) q[3];
rx(0.0225341734164298) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IIIIZZII",
"IIZIIZII",
"IIZZIIII",
"IZIZIIII",
"IIIZIZII",
"ZIZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-2,
-1,
-1.5,
-1.5,
-1
] | 0.972056 | [
0.7929204230509156,
-0.26495979259510904,
0.216265215342819,
-0.6059711657533251,
1.1530997085965573,
0.5119181577599518,
-0.0054367684662264045,
0.8192577407640544,
0.022534173416429798,
0.5229223069257739,
0.07300317850553054,
0.11239636509788024,
0.8785252095767249,
-0.32279888181433125... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 68 |
eb532b3fe9f318ccb3658a6712436b91 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [5, 1], "expectation_value": -2.6282767796224737, "params": [[0.0499, 0.06860000000000001, 0.0766, 0.0781], [-0.010700000000000001, -0.041100000000000005, -0.0574, -0.0685]], "bitstrings": ["11111010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.013976470274756785, 0.014677324725410546],... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110", "11111010"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.06974099551047935) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.5890406829503434) q[1];
rz(-pi) q[2];
ry(-0.0021096615779952286) q[2];
ry(-0.008898726702413838) q[3];
rz(-pi) q[3];
rz(-pi) q[4];
ry(-0.15495898986146583) q[4];
h q[5];
h q[6];
ry(-1.5890406829503434) q[6];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIZZII",
"IIIZZIII",
"IZIIZIII",
"IIZIIIZI",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII"
] | [
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-1,
2.75,
-1,
-0.75,
-0.5,
-0.5,
-0.75,
-0.25,
-1.5,
-0.25,
-0.25,
-0.75,
-0.75,
1.75,
0.75,
1
] | 0.995387 | [
1.4393368061031235,
-1.4512118663580789,
-1.5890406829503434,
-1.7277524128220563,
-1.5364768252188215,
-1.6101287227830505,
-0.07285832630814085,
-0.09968692985267691,
-0.03243337430224796,
0.003994192331387751,
0.0964622453811357
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 1 |
7e23eef08dcdb4e5133f79c5680febb8 | 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": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [3325, 3327], "expectation_value": -27.111768015389718, "params": [-0.0016, -0.008400000000000001, -0.0017000000000000001, -0.0056, 0.6278, 0.6239, 0.4657, 0.4641, 0.0051, 0.033100000000000004, -0.0038, -0.0009000000000000001, 0.26080000000000003, 0.35850000000000004, 0.42050000000000004, 0.48000000000000004... | -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(7)) + 0.5 * (Z(11... | 14 | 14 | 3 | {"smallest_eigenvalues": [-27.833333333333176], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.83333333333282, "smallest_bitstrings": ["11001100000000"], "largest_eigenvalue": 73.16666666666697} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(0.9697042079768213) q[0];
ry(0.02137141410040138) q[1];
ry(-0.6584530523431026) q[2];
ry(0.8085638439349074) q[3];
ry(-0.09039089717759916) q[4];
ry(-0.8567762635500705) q[5];
ry(0.22205659028297364) q[6];
ry(1.220541338251762) q[7];
ry(0.959214360246603) q[8];
ry(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] 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": []} | [
"IIIIIIIIIZIIIZ",
"IIIIIIIIZZIIII",
"IIIIIIIIZIIIIZ",
"IIIIIIIZIZIIII",
"IIIIIIIZIIIIIZ",
"IIIIIIIZZIIIII",
"IIIIIIIIIZIIZI",
"IIIIIIIIIIIIZZ",
"IIIIIIIIZIIIZI",
"IIIIIIIZIIIIZI",
"IIIIZIZIIIIIII",
"IIIZZIIIIIIIII",
"IIIZIIZIIIIIII",
"IIZIZIIIIIIIII",
"IIZIIIZIIIIIII",
"IIZZIIIIIIIIII"... | [
-0.5,
1,
-1,
0.5,
-0.5,
1,
-1,
0.8333333333333334,
-2,
-1,
0.5,
1,
1,
0.5,
0.5,
1,
1,
2,
2,
1,
0.5,
1,
1,
2,
0.8333333333333334,
-0.5,
-1,
-0.5,
-1,
-1,
-2,
-1,
-2,
2,
0.5,
-0.7499999999999998,
1,
0.5,
-1.4999999999999998,
3.5,
5,
7,
... | 0.97152 | [
0.9697042079768213,
0.02137141410040138,
-0.6584530523431026,
0.8085638439349074,
-0.09039089717759916,
-0.8567762635500705,
0.22205659028297364,
1.220541338251762,
0.959214360246603,
0.20299378187023998,
1.1998495248517866,
-0.08788875140151774,
1.3343632175648381,
0.12120878242922446,
... | {
"n_parameters": 106,
"n_qubits": 14,
"optimal_eigenvalue": -27.833333333333176,
"target_ratio": 0.97,
"target_value": -26.99833333333318
} | 74 |
f2268dbc2cd9e9d8be6517cd34bc9399 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [4, 5], "expectation_value": -7.4999999999720615, "params": null, "bitstrings": ["1011", "1010"], "total_optimization_steps": 13, "probabilities": [4.65539676913598e-12, 0.9999999999953437], "optimization_time": 4.149869918823242} | -1.25 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(3) + 1.75 * Z(1) | 1 | 4 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08466080018590566) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.4712491131715458) q[1];
cx q[2], q[1];
rz(0.6656506840572414) q[2];
rx(1.5126955950453878) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04495793256312783) q[3];
cx q[0], q[3];
... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\n... | [
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
-1.25,
1.5,
-0.25,
-1.5,
-1.5,
-0.25,
0,
1.75
] | 0.564109 | [
0.08466080018590566,
-0.04495793256312783,
0.4712491131715458,
0.6656506840572409,
-1.5403474266364232,
-1.5490134012367487,
1.5126955950453878
] | {
"n_parameters": 7,
"n_qubits": 4,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 191 |
72ec18873d3dc55875c8efef46485470 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [32, 31], "expectation_value": -1.4175034407057994, "params": [[0.060500000000000005, 0.0471], [-0.055, -0.0409]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.025694669671072486, 0.02607592875334389], "optimization_time": 2.3219287395477295} | -1.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + -2.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + 2.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(4) + -0.25 * Z(1) + 0.75 * Z(2) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(0.6718764267967782) q[1];
h q[2];
h q[3];
ry(0.6718764267967782) q[3];
cx q[2], q[3];
ry(-0.6718764267967782) q[3];
cx q[2], q[3];
ry(1.5535753734037667) q[2];
cx q[2], q[1];
ry(-0.6718764267967782) q[1];
cx q[2], q[1];
ry(0.8533483681362799) q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IZIIZI",
"IIZZII",
"IZIZII",
"IIIZZI",
"ZIZIII",
"ZIIIIZ",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.25,
-0.75,
-1,
-1.25,
-2.5,
-2.25,
-1,
-1.25,
2.25,
-1,
1,
-0.25,
-1.25,
-0.25,
0.75,
0
] | 0.97048 | [
1.3437528535935563,
1.5535753734037667,
0.8533483681362799,
-0.9362082007339845,
0.4623959360555589,
0.35436786059694586,
0.04302867212514143,
0.0500982270858599,
-1.6453394811112914,
-0.9180761020979388,
-1.558383651126498,
1.0819988838696692,
1.0170011116603797,
-0.25552214888759683,
-... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 108 |
a38675d53d722227ef740a74a5426a27 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [98, 41], "expectation_value": -1.3802242158133216, "params": [[-0.052000000000000005, -0.0648, -0.06960000000000001, -0.08610000000000001], [0.054200000000000005, 0.06960000000000001, 0.0697, 0.0777]], "bitstrings": ["0011101", "1010110"], "total_optimization_steps": 10, "probabilities": [0.0173474701564720... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(6) + -1.5 * Z(4) + 0.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(5) | 1 | 7 | 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": ["1010110", "1000111", "0001111", "1010101", "0011101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5141994421129809) q[0];
h q[1];
ry(1.390141942064535) q[1];
h q[2];
ry(-0.5141994421129809) q[2];
h q[3];
cx q[3], q[0];
ry(0.5141994421129809) q[0];
cx q[3], q[0];
ry(-0.6573848412878611) q[0];
ry(1.0688525533137359) q[3];
h q[4];
ry(-1.560193965859156) 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": []} | [
"IIIZIIZ",
"ZIIIIIZ",
"IIZZIII",
"IIZIIZI",
"ZIIIZII",
"IIZIZII",
"ZZIIIII",
"IZZIIII",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII"
] | [
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,
-1,
-1
] | 0.99545 | [
-1.560193965859156,
-1.6256424106349383,
1.390141942064535,
-1.0283988842259617,
0.8351950134156189,
-0.46570245239628766,
0.4673150797962339,
-0.3833647777831469,
0.17942834723555207,
0.2603514411697678,
-0.015966545811498617,
-0.09901389533504207,
0.1486764616653704,
-0.04676080723319257... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
148c98be54f48380a1d59caea5fb9c95 | 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": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, ... | {"states": [33, 1], "expectation_value": -1.00897701838591, "params": [[0.048600000000000004], [-0.0623]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 20, "probabilities": [0.005573061565082813, 0.006082850820285038], "optimization_time": 3.3629555702209473} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.03939289528804486) q[0];
rz(0.6104138206589251) q[0];
rx(-0.00681563279887627) q[1];
rz(-0.9006858468689849) q[1];
rx(-0.021959365881757037) q[2];
rz(0.3356439632631911) q[2];
rx(0.03471226526304572) q[3];
rz(0.8790273908335049) q[3];
rx(-0.006815632798876268) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IIIIIZZI",
"IIIZIZII",
"IIZIIZII",
"IIIIZIZI",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIII... | [
-0.25,
-1.5,
-2.25,
-0.25,
-0.25,
-1,
-1.25,
-1.5,
-1.25,
-0.25,
-0.25,
-0.75,
-0.5,
-1.5,
-0.25,
-1,
-1,
3.5,
-0.5,
0.75,
-0.25,
0.5,
0,
-0.5,
0.25,
-3.75,
3
] | 0.976469 | [
-0.03939289528804486,
0.3056415618650099,
-0.006815632798876269,
-0.5864878321915629,
-0.021959365881757044,
0.5716771692755518,
0.03471226526304572,
0.731257367887284,
-0.33277460038548357,
-0.06527320802077959,
-0.4876274159857306,
-0.0662292616450873,
1.4837848577123118,
0.1080116767710... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 8 |
c5d64ed1606b01b0449fbdbfaa48958e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [50, 69], "expectation_value": -1.3588975570286639, "params": [[0.0592, 0.0709, 0.0594, 0.0733], [-0.0317, -0.06770000000000001, -0.054400000000000004, -0.0625]], "bitstrings": ["1001101", "0111010"], "total_optimization_steps": 10, "probabilities": [0.017855029010390135, 0.019378155655531377], "optimization... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(3) + -1.0 * Z(1) + -1.5 * Z(4) + -1.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100101", "1001101", "0111010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.1549721848291327) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(1.492760804569908) q[2];
h q[3];
ry(-0.44016084752831497) q[3];
cx q[1], q[3];
ry(0.44016084752831497) q[3];
cx q[1], q[3];
ry(0.8936963047981609) q[1];
ry(-0.5255148306806048) q[3];
h q[4];
ry(-1.5627506543... | OPENQASM 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": []} | [
"IIIIZIZ",
"IZIIIIZ",
"IIIZIZI",
"IIZIZII",
"IZZIIII",
"IIZZIII",
"IIZIIZI",
"ZZIIIII",
"ZIIZIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"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,
-1,
-1,
-1,
-1.5,
-1
] | 0.995333 | [
-1.5627506543770027,
-1.6426853524511658,
-1.259998280348624,
1.492760804569908,
-0.8803216950566299,
0.5985232422840356,
-0.31165172323427953,
-0.3767145391135873,
0.5903461250282505,
-0.29760058313403503,
0.20451498588347222,
-0.30673651465012075,
-0.02234127085458512,
0.0993486788775276... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
eee150816444ab6c0c032eb91552e06d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [230, 118], "expectation_value": -19.118428919770466, "params": [[-0.0274, -0.016, 0.0717], [0.0526, 0.0663, -0.032100000000000004]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.011183072200078874, 0.014476230967282845], "optimization_time": 5.392583131790161} | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 6.5 * Z(0) + 14.5 * Z(3) + 16.0 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 147.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.08359153405910102) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.08359153405910102) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(-0.08359153405910102) q[2];
cx q[0], q[2];
rz(-0.6230116833480315) q[0];
rx(-0.14138809184834245) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIIZIIZI",
"IZIZIIII",
"IIZIIZII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6.5,
14.5,
16,
20.5,
5,
7,
16.5,
2.5
] | 0.974155 | [
-0.08359153405910102,
-0.6230116833480315,
1.5653275161268936,
1.0310613862456777,
1.5347143697465482,
0.46865926777689526,
0.8463733394794115,
2.317186358225583,
-0.5940988830094119,
-0.14138809184834245,
-0.0711672622474596,
-0.6201044770192409,
0.4086438400107286,
-0.32713169483651033,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 63 |
8198021928293f705270038472b9e016 | 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": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 7, "source": 0, "target": 3}, {"capacity": 7, "s... | {"states": [65, 1], "expectation_value": -5.022419222698805, "params": [[0.0787, 0.0627], [-0.0844, -0.0685]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0076190893399865145, 0.010591611538353477], "optimization_time": 4.359182596206665} | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(0)) + -1.75 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + 5.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-33.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 23.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2154578741281564) q[0];
rz(0.34104839509878815) q[0];
rx(0.014353031530877552) q[1];
rz(-0.20570222180983766) q[1];
rx(0.08050603302810429) q[2];
rz(-0.008367973851877153) q[2];
rx(0.08050603302810427) q[3];
rz(0.16236793919225168) q[3];
rx(0.12664392325642937) 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIZIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"IZIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-1,
-0.5,
-1,
-0.5,
-1.75,
-1.75,
-1.5,
5.75,
-0.5,
-1,
-0.5,
-1.25,
-2.75,
-0.5,
-0.25,
-0.25,
-0.25,
-1.75,
-1,
-0.75,
-0.25,
-0.75,
0.25,
-1,
5.25,
0,
-0.5,
-2.25
] | 0.970861 | [
-0.21545787412815637,
0.3285993477694789,
0.014353031530877552,
-0.021653355952673856,
0.08050603302810427,
-0.07075527064291534,
0.1259199627627,
0.12664392325642937,
-0.06670408457052271,
-0.12000144934019084,
0.21144554096104196,
-0.14863542639379768,
-0.11968746102607022,
0.24510922225... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -33.25,
"target_ratio": 0.97,
"target_value": -32.2525
} | 9 |
-51701444481128926 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [4, 7], [2, 5], [5, 6, 7], [0, 1, 6], [0, 2], [0, 5], [0, 3]]} | {"states": [135, 142], "expectation_value": -2.2505139090857114, "params": null, "bitstrings": ["01111000", "01110001"], "total_optimization_steps": 69, "probabilities": [0.08798385849306917, 0.7060607703983373], "optimization_time": 100.18388938903809} | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.666666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.666666666666666, "smallest_bitstrings": ["01110001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(-0.6726620318822047) q[0];
cx q[7], q[0];
cx q[0], q[2];
rz(-0.6726620318822047) q[2];
cx q[0], q[2];
cx q[7], q[4];
rz(-0.6726620318822047) q[4];
cx q[7], q[4];
rz(0.17789698707603563) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2292) q[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[... | [
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIZIZ",
"ZIZIIIII",
"IIZIIIIZ",
"IIZIIZII",
"ZZIIIIII",
"IZIIIIIZ",
"IZZIIIII",
"IIIIIIZZ",
"IZIIIIZI",
"IIIIZIIZ",
"ZIIIIIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666674,
0.16666666666666696,
0,
0,
0.16666666666666674,
0.3333333333333333,
0.16666666666666666,
0
] | 0.515842 | [
-0.6726620318822047,
-0.1515731315085999,
0.1778969870760356,
-1.4261247747859607,
0.7367319471896152
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -2.666666666666668,
"target_ratio": 0.97,
"target_value": -2.586666666666668
} | 147 |
4574989881802094617 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 3, 5, 6], [0, 10, 4], [2, 3, 5, 6], [9, 3, 6], [1, 4, 9, 7], [8, 10, 4, 5], [8, 0, 6], [1, 2, 7], [8, 9, 3, 0], [8, 9, 5, 0], [1, 3, 9, 7], [1, 4, 5, 6], [10, 7], [9, 2, 4, 5], [0, 8, 1], [0, 1, 10, 2], [0, 1, 3, 7], [8, 9, 4, 1], [2, 4, 7], [1, 3, 4, 5]]... | {"states": [939, 1003], "expectation_value": -3.2376803368847393, "params": [[[0.16770000000000002, 0.0001, 0.005200000000000001, 0.008], [0.5717, -0.0028, 1.2801, 0.0032], [1.6045, 0.0036000000000000003, 0.0081, 0.0004], [0.3835, 0.0016, 1.5613000000000001, 0.0095], [1.596, 0.0048000000000000004, 0.0027, 0.002], [0.38... | 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(6)) + 0.25 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.33333333333333... | 12 | 11 | 1 | {"smallest_eigenvalues": [-4.916666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.916666666666666, "smallest_bitstrings": ["10000010100"], "largest_eigenvalue": 19.500000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.2038135293382475) q[0];
rz(0.2072928748195234) q[0];
ry(0.8614644267751095) q[1];
rz(-0.1503397256519078) q[1];
cz q[1], q[0];
ry(2.2987795596122718) q[1];
ry(3.2648750246468636) q[2];
rz(0.2560613873858635) q[2];
ry(0.1021794277613296) q[3];
rz(0.292586796678096... | OPENQASM 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",
"IIIIZIZIIII",
"IIIIZIIIIIZ",
"IIIZIIZIIII",
"IIIZIIIIIIZ",
"IIIZZIIIIII",
"IIIIIIIIZIZ",
"IIIIZIIIZII",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIIIZIIZII",
"IIIIIIZZIII",
"IIIIIIIZIIZ",
"IIIIZIIZIII",
"IIIZIIIZIII",
"IIIIIIIZZII",
"IIIIIZIZI... | [
0.25,
0.25,
0.16666666666666666,
0.3333333333333333,
0.25,
0.25,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.083333333333333... | 0.971397 | [
-0.2038135293382475,
0.2072928748195234,
0.8614644267751095,
-0.1503397256519078,
3.2648750246468636,
0.2560613873858635,
0.1021794277613296,
0.2925867966780966,
2.638885148057029,
-0.16731386154657107,
0.1844872753398766,
-0.013119979185051714,
-0.009953589478452207,
0.5419938604222642,
... | {
"n_parameters": 30,
"n_qubits": 11,
"optimal_eigenvalue": -4.916666666666668,
"target_ratio": 0.97,
"target_value": -4.769166666666668
} | 22 |
d718199120caa09970ec0112edaecdf9 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [18, 3], "expectation_value": -18.42285369386236, "params": [[0.0317, -0.056, -0.030500000000000003, -0.0006000000000000001], [-0.0613, 0.052000000000000005, 0.060200000000000004, 0.0627]], "bitstrings": ["1101101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.019390608776662637, 0.0214793... | 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... | 16 | 7 | 4 | {"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(-0.04015044538224883) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.04015044538224883) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.04015044538224883) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.04015044538224883) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"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,
2.75,
3,
3,
3,
3,
3,
-10.25,
-10,
-10.25,
-10,
-10,
-9.25,
-9.25
] | 0.978301 | [
-0.04015044538224883,
-0.15324628777449456,
-1.689169402787427,
-1.6217749557604155,
1.3668630378637412,
-1.508421696431749
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 23 |
b2c25a19a038d07471a5450910ba4971 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 4}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [22270, 22254], "expectation_value": -7.123470348556475, "params": [1.1862000000000001, 0.006500000000000001, 0.4647, 0.0095, 1.1802000000000001, -0.0055000000000000005, 1.1873, 0.0036000000000000003, 1.1938, 0.007, 0.6618, 0.0011, 1.1856, -0.0012000000000000001, 1.1596, 0.007500000000000001, 1.1895, 0.004, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(10) @ Z(4)) + 0.5 * ... | 6 | 15 | 1 | {"smallest_eigenvalues": [-8.74999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999957, "smallest_bitstrings": ["010100100010001"], "largest_eigenvalue": 26.250000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIIIIIIZZIII",
"IIIIIIIIIZZIIII",
"IIIIIIIIIZIZIII",
"IIIIIZIIIIIZIII",
"IIIIZIIIIIZIIII",
"IIIIZZIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
0.75,
0.75,
0.75,
1,
1,
1,
1.25,
1.25,
1.25
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
1933e8b73d4f27169594b5a37f23f4e2 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [1396, 1397], "expectation_value": -2.3582690215827378, "params": [[[0.4807, -0.0091], [0.0864, -0.0034000000000000002], [0.7021000000000001, -0.0918], [0.2857, -0.1203], [0.7005, 0.1496], [0.2755, 0.2651], [0.38780000000000003, 0.2414], [0.057600000000000005, 0.33590000000000003], [0.1786, 0.4878], [0.68590... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 15 | 11 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.625, "smallest_bitstrings": ["10000101001", "10010001001", "01000101010", "01000011010", "0101000101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.8785617532809386) q[0];
rz(1.5021759791746723) q[0];
rx(0.18750221656773378) q[1];
rz(1.610386357447335) q[1];
rx(0.6526873554626819) q[2];
rz(1.5639732718255024) q[2];
rx(-0.012452119729280793) q[3];
rz(1.6670235805521898) q[3];
rx(0.18135410988127476) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZZIII",
"IIIIZIZZIII",
"IIIIZZIZIII",
"IIIIZZZIIII",
"IIIIZZZZIII",
"IIIIIIIZIIZ",
"IIZIIIIIIIZ",
"IZIIIIIIIIZ",
"IIZIIIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
... | 0.98096 | [
0.8785617532809387,
-0.06862034762022431,
0.18750221656773375,
0.03959003065243816,
0.6526873554626819,
-0.006823054969394506,
-0.012452119729280793,
0.09622725375729248,
0.18135410988127476,
-0.46988664665471536,
-0.0942321217772507,
0.12610127432036736,
0.7918857798860538,
-0.11918754873... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 10 |
15100e222fa25033a8fce0705323829c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 3}, {"weight": 20, "source": 1, "target": 6}, {"weight":... | {"states": [952, 440], "expectation_value": -76.1949454905062, "params": [1.2011, 0.263, 1.2029, 0.0086, 1.1877, 0.0896, 0.7585000000000001, 0.007200000000000001, 1.1958, 0.1111, 1.1888, 0.0014, 1.0412000000000001, -0.2519, 0.7851, 0.0077, 1.2011, 0.1323, 1.1885000000000001, 0.0055000000000000005, 1.1978, 0.1383, 1.188... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(5)) + 21.0 * Z(2) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-103.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.0, "smallest_bitstrings": ["1001000111"], "largest_eigenvalue": 192.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.933328841726907) q[0];
rz(2.0410652868694648) q[0];
rx(2.0469186955433383) q[1];
rz(1.6166790437148197) q[1];
rx(0.4392814054850587) q[2];
rz(1.5612985483172181) q[2];
rx(0.918653031702869) q[3];
rz(1.4372670766618256) q[3];
rx(2.933328841726907) q[4];
rz(1.148070... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIZIIZIIII",
"IIZZIIIIII",
"IZIIIIIZII",
"IZIIZIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
21,
3,
16.5,
13.5,
12,
21,
11.5,
2,
4,
-10.5
] | 0.972377 | [
2.933328841726907,
0.470268960074568,
2.0469186955433383,
0.045882716919923835,
0.43928140548505873,
-0.009497778477678603,
0.918653031702869,
-0.1335292501330713,
-0.4227260197525864,
2.5862248838032302,
-0.00931902582309524,
1.4623245513168883,
-0.0805985916592501,
0.6205424305261183,
... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -103,
"target_ratio": 0.97,
"target_value": -99.91
} | 169 |
11e3db404ceab325d959c6faf4c54e2e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [43, 41], "expectation_value": -3.50111752315476, "params": [-0.0024000000000000002, 0.0014, 0.3038, 0.3049, -0.0102, -0.013800000000000002, 0.303, 0.3048, 0.038, 0.036500000000000005, 0.11660000000000001, 0.11910000000000001, 0.30510000000000004, 0.30060000000000003, 0.0009000000000000001, 0.000600000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(3) | 14 | 7 | 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": ["1110100", "1011010", "1001110", "1010110", "1111000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.007049071499525501) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.007049071499525501) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(-0.007049071499525501) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.007049071499525501) 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] x11;
in... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"IIZIZII",
"IZIIZII",
"IIZZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-1,
0,
-1,
-0.5
] | 0.970471 | [
-0.007049071499525501,
-0.9242864463836944,
1.4859283289212186,
1.648141262809948,
-1.3020927796447306,
1.3981695767054998,
-0.4690203450985888,
0.0064032613649141965,
0.6023180138289096,
0.14348718682098022,
0.27088386843300305
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 42 |
8c1c06822ec07a553a5922749cce1f78 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"sour... | {"states": [255, 248], "expectation_value": -0.7346738310928626, "params": [[0.046], [-0.0414]], "bitstrings": ["00000000", "00000111"], "total_optimization_steps": 10, "probabilities": [0.004980842346442222, 0.005081972423990436], "optimization_time": 2.561882734298706} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6376348788811962) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.6376348788811962) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.136004528418737) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.6376348788811962) 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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2.5,
-2.5,
0.5,
-2.5,
0.5,
1,
-2.5,
0.5,
-2,
-2,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
1.5,
-1.5,
-1.5
] | 0.593765 | [
-0.6376348788811962,
-0.136004528418737,
-0.5305199640623396,
-0.9804845581823455,
0.09275361370898015,
-0.14881416205998768,
-1.0421589381513796
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 197 |
247ede82bbc36285f5765c81a230f94f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, {"source": 6, "target":... | {"states": [0, 511], "expectation_value": -10.606333684345396, "params": [[[-0.0025, 1.6012000000000002], [0.0022, 0.0025], [0.0016, 0.0018000000000000002], [0.0016, 0.0018000000000000002], [0.0022, 0.002], [-0.0034000000000000002, 0.0023], [-0.0022, 0.0027], [0.0029000000000000002, -0.0027], [-0.0027, 0.0027]]], "bits... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + -1.5 * Z(7) + 1.0 * Z(6) + 1.0 * Z(8) | 15 | 9 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0783724732087645) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.8060979239424118) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.8060979239424118) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.1477328261951266) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-2,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
1
] | 0.549908 | [
1.0783724732087645,
0.8060979239424118,
0.1477328261951266,
1.6446462710040042,
0.940547812914101
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 155 |
888b5a08b75b032464d2b3e4c6358fb3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [231, 230], "expectation_value": -98.62193446069038, "params": [0.0149, -0.2363, 0.0076, -0.2508, 0.04, -0.24230000000000002, 0.0298, -0.2541, 0.5308, 0.0821, 0.5364, 0.020900000000000002, 0.5391, 0.10450000000000001, 0.5353, 0.020200000000000003, 0.5316000000000001, 0.08950000000000001, 0.5315, 0.0253, 0.00... | 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(0) @ Z(4)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(0)) + 5.5 * (Z(7) @ Z(9)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(9)) + 5.5 * (Z(8) @ Z(7)) + 20.5 * Z(2) ... | 5 | 10 | 3 | {"smallest_eigenvalues": [-101.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["1100011001"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.0885824386939109) q[0];
rz(-0.43526698429738664) q[0];
rx(0.2751424755663749) q[1];
rz(-0.24486216007410944) q[1];
rx(0.6266226723933483) q[2];
rz(-0.09481222710811377) q[2];
rx(0.2931054479289389) q[3];
rz(0.07027046952104854) q[3];
rx(0.6625836477947303) 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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIZIIIZ",
"IIIIZZIIII",
"IIIZIIIZII",
"ZIIIIIZIII",
"IIZIIZIIII",
"IIZIIIIIIZ",
"ZIZIIIIIII",
"IZIIIIIZII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIIIIIIZ",
"IIIIZIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
20.5,
2.5,
12,
14,
2.5,
-2.5,
1,
10.5,
19.5,
16.5
] | 0.972569 | [
0.0885824386939109,
-0.4121192043222049,
0.2751424755663749,
-0.11447508262258582,
0.6266226723933482,
-0.2044883770196902,
0.2931054479289389,
0.08133411888704796,
0.6625836477947303,
0.06971475278883757,
0.07574960967743426,
0.33614842024847313,
-0.007706336935940111,
0.18014654857772777... | {
"n_parameters": 143,
"n_qubits": 10,
"optimal_eigenvalue": -101.5,
"target_ratio": 0.97,
"target_value": -98.455
} | 38 |
26d400edae9380ebddd44e45014fda78 | 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": [1357, 1349], "expectation_value": -115.22595343462676, "params": [0.6990000000000001, 0.1612, 0.1516, 0.31720000000000004, 0.6979000000000001, 0.0709, 0.0006000000000000001, 0.382, 0.6998000000000001, 0.0058000000000000005, -0.0037, 0.44770000000000004, -0.00030000000000000003, 0.4419, 0.3718, 0.16340000000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(0)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(1)) + 7.5 * (Z(10) @ Z(8)) + 7.5 * (Z(10) @ Z(9)) + 1.0 * Z(1... | 18 | 11 | 4 | {"smallest_eigenvalues": [-141.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -124.5, "smallest_bitstrings": ["01010111010"], "largest_eigenvalue": 225.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.7731744333975828) q[0];
rz(0.07005374604683734) q[0];
rx(-0.009987814916269787) q[1];
rz(0.2391827279314097) q[1];
rx(0.8273232150292642) q[2];
rz(0.3940402114589943) q[2];
rx(-0.009102751221812727) q[3];
rz(0.2453955610480705) q[3];
rx(0.7185199570820626) 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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIZZIIII",
"IIIZIIIIZII",
"IIIZIIZIIII",
"IIZIIIIIZII",
"IIZIIIZIIII",
"IIZZIIIIIII",
"IZIIIIIIIIZ",
"IZZIIIIIIII",
"ZIIIIIIIIZI",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIZII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
1,
6.5,
23,
-3.5,
21,
-6.5,
10.5,
32,
10.5,
13.5,
-12.5
] | 0.981892 | [
0.7731744333975826,
0.17480503233730207,
-0.009987814916269787,
0.2391827279314097,
0.8273232150292642,
0.3940402114589943,
-0.009102751221812727,
0.2453955610480705,
0.7185199570820626,
0.03565602501741877,
-0.10526505219007692,
0.37141828220653794,
0.18682353200745921,
0.546067126544538,... | {
"n_parameters": 122,
"n_qubits": 11,
"optimal_eigenvalue": -141.5,
"target_ratio": 0.97,
"target_value": -137.255
} | 10 |
93db31296f7d5ce33b206de7cd778a2f | 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": [732, 728], "expectation_value": -121.31845835986522, "params": [0.1978, 0.6319, 1.3984, 0.31880000000000003, 0.0024000000000000002, 1.0134, 1.3973, 0.0081, 1.4011, -0.0114, 0.5948, -0.39980000000000004, 1.3909, -0.2041, 1.401, -0.0017000000000000001, 0.7774000000000001, 0.306, 0.0024000000000000002, 0.798, ... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(6) @ Z(1)) + 8.0 * (Z(3) @ Z(6)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(4) @ Z(6)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(8) @ Z(1)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(9) @ Z(7)) + 0.5 * Z(0) + 18.0 * Z(1) + 33.0 * ... | 16 | 11 | 2 | {"smallest_eigenvalues": [-145.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -132.0, "smallest_bitstrings": ["10100100111"], "largest_eigenvalue": 246.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.08642532083446408) q[0];
rz(0.6403841546866138) q[0];
rx(1.57799911626771) q[1];
rz(0.2288553549155979) q[1];
cx q[1], q[0];
rz(-0.3656186889374811) q[0];
cx q[1], q[0];
rx(-0.0003751196969296947) q[0];
rz(0.08018235677734253) q[0];
rz(-0.5206820093347245) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIZIIIIZI",
"IIIIZIIZIII",
"IIIIIIZIIIZ",
"IIIIZIZIIII",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIZIIIIIIZI",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IZIZIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIZIIIIII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
0.5,
18,
33,
16.5,
21.5,
10,
13,
10,
-5,
-11,
-13.5
] | 0.970003 | [
0.08642532083446407,
0.27476546574913263,
1.57799911626771,
0.2288553549155979,
0.01668075839758501,
1.0538461563496364,
1.3262930314567496,
-0.11702159592463629,
1.4806821741729155,
-0.03538873554418623,
0.2182682628013709,
-0.4064769375074777,
1.6889487913200654,
-0.1431346348484465,
1... | {
"n_parameters": 59,
"n_qubits": 11,
"optimal_eigenvalue": -145,
"target_ratio": 0.97,
"target_value": -140.65
} | 11 |
cf9a1540b011355d554ff1ed574e9153 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [44, 172], "expectation_value": -2.3918775972101143, "params": [[[0.5009, -0.0207, 0.0091, 0.0055000000000000005], [0.40340000000000004, 0.2116, 0.4166, -0.2018], [0.0857, 0.20520000000000002, -0.0466, 0.2096], [-0.12100000000000001, 0.19410000000000002, 0.4918, 0.1262], [0.0823, -0.3803, 0.0511, -0.22740000... | 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(3) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.12... | 11 | 8 | 4 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["01010011"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027904492225509954) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.027904492225509954) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.027904492225509954) q[2];
cx q[1], q[2];
rz(1.342829921786847) q[1];
rx(1.4533457... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIIZZIIZ",
"IIZIZIII",
"IIIZIIZI",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IZZIIZII",
"ZIZIIZII",
"ZZIIIZII",
"ZZZIIIII",
"ZZZIIZII",
"IIIIIIIZ",
"IIIIIIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
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,
-0.25,
0.125,
-0.25,
-0.25,
-0.125,
-0.625,
-0.625
] | 0.970395 | [
0.027904492225509954,
1.3428299217868471,
-1.3973477579863305,
1.1084896251587875,
-1.2207028245392655,
1.4533457571386144,
-0.40356853974988083,
1.2087457512520743,
0.5067522003052877,
0.6097643117392808,
0.41447285258051847
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 47 |
4cd28f9bc761b26f6d6f15aeccbaedea | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 20, "source": 0, "target": 3}, {... | {"states": [122, 121], "expectation_value": -13.096644581052578, "params": [[-0.0342, -0.0263], [0.0541, 0.0526]], "bitstrings": ["10000101", "10000110"], "total_optimization_steps": 10, "probabilities": [0.009098837688813434, 0.009668637458873574], "optimization_time": 4.135225534439087} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 18.0 * Z(1) + 12.5 * Z(0) + 17.5 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000110"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.00016732716707271525) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.00016732716707271525) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.00016732716707271525) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.00016732716707271525) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIIZI",
"IZIIIZII",
"IZIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
18,
12.5,
17.5,
17,
8.5,
0,
8.5,
11
] | 0.920635 | [
0.00016732716707271525,
-0.5924455788903747,
1.1202157596152196,
-2.1299919140966863,
-0.921283751470345,
-0.9259638537657344,
0.656788748097326,
0.05566707846777746,
-0.2350099582362983,
-0.00025338828965832576,
-0.7056870444167618,
0.6002165622279372,
0.40321396654204583,
-0.860670749125... | {
"n_parameters": 33,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 500 |
fe37a95fb62cde91e69aee116b6773bd | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "tar... | {"states": [252, 236], "expectation_value": -76.31607209159763, "params": [0.9779, 0.0031000000000000003, 3.0025, 0.0059, 3.0001, 0.0053, 2.9953000000000003, 0.0039000000000000003, 1.5673000000000001, 0.0047, 2.9958, 0.007200000000000001, 2.9939, 0.0038, 0.3845, 0.0088, 0.0023, 0.0009000000000000001, 0.0035, 0.00550000... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 165.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.036805554208728865) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.036805554208728865) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.036805554208728865) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.036805554208728865) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
21.5,
5.5,
14.5,
10,
11.5,
19.5,
16,
1,
-1.5
] | 0.980584 | [
-0.036805554208728865,
1.5653143209845872,
-1.520759303138704,
1.6043065486405803,
1.6061779043506268,
-0.9411390712476695,
1.5451499827051354,
1.6462955105064652,
-1.6219264994733438,
-1.3909117298929286,
-1.5458587504655341
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 43 |
6de3ca972134e3b2df718cabf76739a9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [33, 49], "expectation_value": -0.04789017711028544, "params": [[-0.0291], [0.0267]], "bitstrings": ["011110", "001110"], "total_optimization_steps": 10, "probabilities": [0.01586912014159015, 0.0159670395355558], "optimization_time": 1.2706739902496338} | 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(4) @ 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)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9895735627532725) q[0];
rz(-pi) q[0];
h q[1];
ry(1.649206030902672) q[1];
cx q[1], q[0];
ry(0.020750894699326963) q[0];
cx q[1], q[0];
ry(0.06475921605593957) q[1];
ry(-0.025621518648993244) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08561498708161709) q[3];
h q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IZIIZI",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
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,
-2,
0,
-1
] | 0.9963 | [
-1.588799124059266,
-1.6939350649793659,
-1.4943029822572422,
1.649206030902672,
1.4395281306577028,
-0.10174365177732247,
-0.04150178939865393,
0.14037315026251265,
0.12951843211187913,
0.07504750220570425,
0.07097634417369998,
-0.03891395490893547,
-0.02859920646304469,
-0.09101380963563... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
339c7fe0000b9f3d24083d98998c20d8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [1, 17], "expectation_value": -0.8758286650829095, "params": [[-0.051500000000000004], [0.0623]], "bitstrings": ["111110", "101110"], "total_optimization_steps": 10, "probabilities": [0.021203527099275574, 0.021555577878287303], "optimization_time": 2.177826166152954} | -1.5 * (Z(0) @ Z(3)) + -2.25 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * Z(3) + -0.25 * Z(0) + -2.75 * Z(4) + 3.0 * Z(5) + 1.75 * Z(1) + -0.5 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["101110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.2133399821377441) q[0];
rz(-pi) q[0];
h q[1];
ry(0.7495760698632566) q[1];
h q[2];
ry(-0.08887877219422799) q[3];
rz(-pi) q[3];
ry(-0.19278541536231975) q[4];
rz(-pi) q[4];
h q[5];
ry(1.391295280431935) q[5];
cx q[5], q[4];
ry(-0.3176700012489248) q[4];
cx q[5], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZZIII",
"IZIIIZ",
"ZIIIIZ",
"IZIIZI",
"ZIIIZI",
"IIZZII",
"IZIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
-1.5,
-2.25,
-1.75,
3.5,
-1.25,
-0.5,
-0.5,
-1,
-1.25,
-0.25,
-2.75,
3,
1.75,
-0.5
] | 0.975641 | [
1.391295280431935,
-2.0329462789083035,
-1.6956809126815016,
-1.1529907529787395,
0.6353400024978496,
-0.45032158544803697,
-0.6578536032438583,
1.4991521397265133,
-0.28415573829494634,
-1.8771011169893437,
0.14516579000424013,
1.3509798685023018,
-0.8662456018688108,
-1.517406511507313,
... | {
"n_parameters": 23,
"n_qubits": 6,
"optimal_eigenvalue": -19.25,
"target_ratio": 0.97,
"target_value": -18.6725
} | 21 |
1d579e37a468bd880bcb1092848cc668 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 4, "source": 4, "target": 1... | {"states": [63, 1], "expectation_value": -0.11375734086443312, "params": [[0.0373], [-0.0381]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.008257927844084995, 0.008257927844084998], "optimization_time": 1.4083361625671387} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + 0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(6) + -2.0 * Z(3) + 0.0 * Z(2) + 2.0 * Z(4) + 1.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1111110", "1011010", "1111100", "1011000", "1111010", "1001010", "1111000", "1101000", "1001000", "11010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6941259116557518) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.7530958440334765) q[3];
h q[4];
ry(1.6275648338062378) q[4];
cx q[4], q[3];
ry(0.7530958440334765) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.6941259116557518) q[0];
cx q[6], q[0];
ry(-0.3... | 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;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.5,
0.75,
-1,
-1,
-1,
-1,
-1,
-0.25,
0.25,
-2,
0,
2,
1
] | 0.975008 | [
1.6275648338062378,
-1.506191688066953,
-1.3882518233115035,
1.0437940616691472,
-0.6850023722970648,
0.430917419283484,
-0.20458261231373315,
0.03557786349020009,
-0.11303820837731039,
0.224256866592883,
-0.03744596523400791,
-0.08823505966052633,
0.07360138473543015
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
33608a6bdc29d689d9048d5e37091322 | 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": 1, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 4, "source": ... | {"states": [2048, 2047], "expectation_value": -26.506207698693494, "params": [[[-0.0102, 0.002], [-0.001, -0.0028], [-0.00030000000000000003, -0.0029000000000000002], [0.0068000000000000005, -0.0031000000000000003], [0.0034000000000000002, -0.0031000000000000003], [0.0115, -0.0031000000000000003], [-0.01, -0.0029000000... | -0.25 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(0)) + 1.5 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + -1.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -0.25 * (Z(10) @ Z(5)) + -1.25 * (Z(10) @ Z(6)) + -0.25 * (Z(10) @ Z(4)) + -0.5 * (Z(1... | 15 | 12 | 3 | {"smallest_eigenvalues": [-27.0, -27.0, -27.0, -27.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -26.0, "smallest_bitstrings": ["100000000000", "100001000000", "100001000010", "100001100010"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.14734000773658393) q[0];
ry(0.15872376377827674) q[1];
ry(-0.016342377225937142) q[2];
ry(-0.0734234516316549) q[3];
ry(0.018249974376364324) q[4];
ry(0.19618428370695298) q[5];
ry(-0.09972823128742506) q[6];
ry(-0.15307719692121494) q[7];
ry(0.17987753829522976) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIIIIIZIIZ",
"IIIIIIZIIIZI",
"IIIIIZIIIZII",
"IIIIIIIIZZII",
"IIIIIIIIIZZI",
"IIIIIZIZIIII",
"IIIIIIIZZIII",
"IIIIIIIZIZII",
"IZIIIIZIIIII",
"IZIIIZIIIIII",
"IZIIIIIZIIII",
"ZIIIIIIIIZII",
"ZIIIIIIZIIII",
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIZIIIIII... | [
-0.25,
-1,
1.5,
-0.5,
-0.5,
-1.25,
-0.75,
-1.25,
-0.25,
-1.5,
-0.25,
-1.25,
-0.25,
-0.5,
-1.5,
-0.25,
-2.25,
-0.75,
-1.25,
-0.5,
-2.75,
-0.5,
-0.25,
-1.5,
-1,
-0.75,
-1.25,
-2.5,
-0.75,
-0.25,
-2,
-0.25,
-1.75,
-1.25,
0.5,
1.75,
0,
-2.5,
-2... | 0.970304 | [
0.14734000773658393,
0.15872376377827674,
-0.016342377225937142,
-0.0734234516316549,
0.018249974376364324,
0.19618428370695298,
-0.09972823128742506,
-0.15307719692121494,
0.17987753829522976,
0.043307573898355455,
-1.6218947546130764,
-0.0735682839849374,
-0.088413750624148,
-0.026968914... | {
"n_parameters": 57,
"n_qubits": 12,
"optimal_eigenvalue": -27,
"target_ratio": 0.97,
"target_value": -26.189999999999998
} | 31 |
fbc810d823c786f11446f413aea7702a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"s... | {"states": [8191, 255], "expectation_value": -34.002036517581956, "params": [[[0.0026000000000000003, 0.0001], [0.0027, 0.0073], [0.0024000000000000002, 0.005200000000000001], [0.0024000000000000002, 0.002], [1.5772000000000002, 0.0079], [0.0024000000000000002, 0.0035], [-0.0025, 0.007], [0.0024000000000000002, 0.0016]... | -3.0 * (Z(2) @ Z(4)) + -3.0 * (Z(0) @ Z(4)) + -2.5 * (Z(0) @ Z(2)) + -3.0 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(2)) + -2.0 * (Z(1) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(5) @ Z(6)) + 1.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + -2.5 * (Z(8) @ Z(6)) + -2.... | 2 | 13 | 1 | {"smallest_eigenvalues": [-34.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -33.5, "smallest_bitstrings": ["1111100000000"], "largest_eigenvalue": 35.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.029569650090886357) q[0];
rz(-0.025800327429204135) q[0];
rx(0.08887025431266239) q[1];
rz(-0.024429197961531902) q[1];
rx(-0.05462816166691585) q[2];
rz(0.0470482688106206) q[2];
rx(-0.05462816166691585) q[3];
rz(-0.044082950919376016) q[3];
rx(1.867055342243128... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZII",
"IIIIIIIIZIIIZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIZIIZI",
"IIIIIIIIIIZZI",
"IIIIIIIIIIIZZ",
"IIIIIIIIZZIII",
"IIIIIIIIIZZII",
"IIIIIIIIIZIIZ",
"IIIIIIIIIZIZI",
"IIIIIIZZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIZIIIII",
"IIIIZIZIIIIII",
"IIIIZIIZIIIII",
"IIIIZZIIIIIII",
"IIIZIIZIIII... | [
-3,
-3,
-2.5,
-3,
1,
-2,
-3,
0.5,
0.5,
0.5,
-2.5,
1.5,
-2.5,
-2.5,
-2,
-2.5,
-2.5,
1,
-2.5,
1,
-1.5,
-1.5,
0.5,
-2.5,
-1.5,
1.5,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.98243 | [
-0.029569650090886357,
-0.025800327429204135,
0.08887025431266239,
-0.024429197961531902,
-0.05462816166691585,
0.0470482688106206,
-0.044082950919376016,
1.8670553422431286,
-0.09889587563512704,
-0.07304518667954274,
-0.12270648321056389,
-0.030301358982361457,
-0.02807165330522586,
-0.1... | {
"n_parameters": 22,
"n_qubits": 13,
"optimal_eigenvalue": -34.5,
"target_ratio": 0.97,
"target_value": -33.464999999999996
} | 1 |
dc8ac5f82febba9dcace181eb5c76eb3 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [15, 7], "expectation_value": -0.5640004629321097, "params": [[[0.62, -0.13040000000000002], [0.6668000000000001, -0.1316], [0.7729, 0.0043], [0.8894000000000001, -0.0014], [0.8023, 0.0148], [0.7994, 0.0142]], [[0.6178, 0.0002], [0.6634, 0.0098], [0.7698, 0.0048000000000000004], [0.89, 0.0088], [0.8018000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
1.75,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.75,
-1,
-0.5,
-0.5,
-0.5,
-0.25
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
bbe36c72142a04c8b1698fed3f77c25c | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 3}, {"weight": 7, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 24, "source":... | {"states": [371, 427], "expectation_value": -1.5657910227289094, "params": [[-0.0577, -0.0687, -0.061900000000000004], [0.06960000000000001, 0.0743, 0.07060000000000001]], "bitstrings": ["010001100", "001010100"], "total_optimization_steps": 10, "probabilities": [0.004492718793868308, 0.004492718793868312], "optimizati... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
f0c12db79dee0b687c7216d34d2c80e9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 6... | {"states": [1, 17], "expectation_value": -5.801025960747375, "params": [-0.0031000000000000003, 0.7646000000000001, -0.0049, 0.8073, -0.56, -0.0006000000000000001, -0.0025, 0.8193, -0.0049, 0.7222000000000001, -0.0056, 0.7958000000000001, 1.0658, 0.0016, -0.0006000000000000001, 0.7099000000000001, -0.0008, 0.7759, -0.5... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + -0.75 * Z(4) + 0.7... | 3 | 7 | 3 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1101110"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.45605851751608306) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.45605851751608306) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.45605851751608306) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.45605851751608306) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IZIZIII",
"IIIZZII",
"ZIIIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
1.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
0.75,
-0.25,
-0.5,
-0.75,
0.75,
-0.75,
0.75
] | 0.570419 | [
-0.45605851751608306,
-0.12274039644831539,
0.1713832364029646,
1.4202059135694185,
-1.2442458492292447,
-1.3380302371622426
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 159 |
917f40919ed5cce8c36c9746617c7a98 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 2, "source": 2, "target": 3}, {"weight": 19, "source": 2, "target": 6}, {"weight": 19, "source": 2, "targ... | {"states": [241, 124], "expectation_value": -29.601408963903488, "params": [[0.015600000000000001, -0.0358, -0.0012000000000000001, 0.0723], [-0.0352, 0.065, 0.0614, -0.0195]], "bitstrings": ["100001110", "110000011"], "total_optimization_steps": 10, "probabilities": [0.006353485183033354, 0.0075111155261273], "optimiz... | 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(1) @ Z(5)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.5, "smallest_bitstrings": ["110000011"], "largest_eigenvalue": 208.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.00044453658841897564) q[0];
rz(-0.5788197044321004) q[0];
rx(0.4068324238987415) q[1];
rz(-0.11490205461069954) q[1];
rx(3.211647336478497) q[2];
rz(-0.018285896484799113) q[2];
rx(3.068768369175414) q[3];
rz(0.3240571938421825) q[3];
rx(3.2961556426951257) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIZIIZII",
"IIIZIIIZI",
"IIIIIIZZI",
"IIIZZIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIZIZIII",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIZII",
"IZIIIZIII",
"ZIIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
19.5,
23,
14.5,
27.5,
20,
10,
4.5,
7.5,
-5.5
] | 0.970785 | [
0.0004445365884189756,
-0.6284213388249793,
0.4068324238987415,
-0.11490205461069954,
3.211647336478497,
-0.018285896484799113,
3.068768369175414,
0.3240571938421825,
3.2961556426951257,
0.19379084717326944,
3.00879211742487,
-0.28753631262510954,
3.14958888918463,
-0.12561512912265832,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -92.5,
"target_ratio": 0.97,
"target_value": -89.725
} | 12 |
6446c2e39f9d792cb9f32c544e2de260 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 9, "source": 2, "target": 3}, {"weight": 15, "source": 2, "targ... | {"states": [252, 188], "expectation_value": -70.25661882716923, "params": [0.0032, 0.6582, 1.0655000000000001, 0.026600000000000002, 0.5404, 0.253, 1.0714000000000001, -0.0022, 1.0663, -0.0043, 1.0669, 0.0034000000000000002, 1.0706, -0.1834, 0.1683, -0.44970000000000004, 0.3299, 0.39990000000000003, 0.0015, 0.6709, 1.0... | 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(6) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 13.0 * Z(1) + -2.5 * Z(0) + 12.0 *... | 18 | 9 | 3 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101000011"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.015041700456482638) q[0];
cx q[1], q[0];
rz(1.4443264567556788) q[0];
rx(1.619282026596157) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.015041700456482638) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.015041700456482638) 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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIZIIIZII",
"IIIZIIIZI",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"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,
13,
-2.5,
12,
13.5,
12,
12,
17.5,
2.5,
7
] | 0.975026 | [
-0.015041700456482638,
-1.5570698361898603,
1.4443264567556788,
-1.5438767477979454,
0.832318823873067,
-1.7666330798977976,
1.725742337624804,
1.903105399228118,
1.619282026596157,
0.06117202732973989,
1.5038150213013086,
-0.7673798844218126,
2.540222997992164,
0.46278776046781567,
1.63... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -77.5,
"target_ratio": 0.97,
"target_value": -75.175
} | 63 |
bb51b85a8f0cca1e878093cb2d4e9f25 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 7, "source": 1, "target": 2}, {"weight": 43, "source": 1, "target": 3}, {"weight": 42, "source": 1, "target": 4}, {"weight": 5... | {"states": [47070, 59325], "expectation_value": -11.509254691745959, "params": [[0.22560000000000002], [-0.3352]], "bitstrings": ["0100100000100001", "0001100001000010"], "total_optimization_steps": 40, "probabilities": [0.0007636307417080848, 0.0007636307417080849], "optimization_time": 80.53361344337463} | 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(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-15.999999999999963], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999948, "smallest_bitstrings": ["0001100001000010"], "largest_eigenvalue": 56.00000000000003} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0)... | {"start_node": 0, "end_node": 5} | {"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,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0... | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
024eb4eb919bdf65c57ab94cec1f06e3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [13, 21], "expectation_value": -1.5320876783935051, "params": [[0.0719, 0.0644, 0.0526, -0.0247], [-0.08270000000000001, -0.0736, -0.0616, -0.0269]], "bitstrings": ["1110010", "1101010"], "total_optimization_steps": 10, "probabilities": [0.015806218006744595, 0.016559284638784907], "optimization_time": 7.241... | 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(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1110010"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.026826525433737123) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.6308976674274145) q[1];
h q[2];
ry(-0.4852982136203111) q[2];
h q[3];
cx q[3], q[2];
ry(0.4852982136203111) q[2];
cx q[3], q[2];
ry(-0.5282449194677151) q[2];
ry(0.9544954883708758) q[3];
h q[4];
ry(1.541237106... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IZIIZII",
"IZZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-1,
-1,
-1,
0
] | 0.993782 | [
-1.6308976674274145,
-1.6272321698449563,
1.541237106075381,
-0.9705964272406222,
0.797247644555948,
-0.3502112609538205,
0.3144956876298556,
-0.3560673170277892,
0.2806195109599543,
-0.12762364400867643,
0.005054296641712308,
0.00711322139876662,
0.16652473696759373,
-0.16153608992455162
... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
3670c7801b6cdd8a09a5039cdc5a60e0 | 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": 0, "target": 6}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [36, 37], "expectation_value": -1.9176180264957656, "params": [[0.0014, 0.4027, 0.2436, 0.2988, 0.4048, 0.0019, 0.4001], [0.0032, 0.40440000000000004, 0.3063, 0.2679, 0.40180000000000005, 0.002, 0.4035], [0.0024000000000000002, 0.3985, 0.2863, 0.35350000000000004, 0.4001, 0.002, 0.4063], [0.00170000000000000... | 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(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(4)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(2) + -0.75 * Z(0) + -0.5 * Z(... | 10 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["1011010", "1001011"], "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];
h q[4];
cx q[4], q[0];
rz(-6.2236950536555655e-09) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-6.2236950536555655e-09) q[1];
cx q[4], q[1];
rz(-0.5235988385996864) q[4];
rx(1.5707963109233245) q[4];
h q[5];
h q[6];
cx q[0], q[6];
rz(-6.223695... | OPENQASM 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": []} | [
"IIIIZZI",
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZZ",
"IIZZIII",
"IIIZIZI",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"ZZZIIII",
"ZIIIZII",
"IIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.25,
-0.75,
-0.25
] | 0.78125 | [
-6.2236950536555655e-9,
-0.5235988385996866,
1.5707963547349624,
-1.5707963151749573,
1.5707963109233245
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 146 |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 1, "target": 3}]} | {"states": [3309, 2931], "expectation_value": -1.6972934837161002, "params": [[-0.06380000000000001, -0.0689, -0.0495], [0.0698, 0.0723, 0.0631]], "bitstrings": ["001100010010", "010010001100"], "total_optimization_steps": 10, "probabilities": [0.0006016096820550221, 0.0006016096820550224], "optimization_time": 11.6183... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -6.0, "smallest_bitstrings": ["100100010010", "100100010001", "100100001010", "010010001001", "010001100100", "010010001100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | OPENQASM 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[12] c;
qubit[12] q;
h q[0];
h q[1];
... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIIIIZIII",
"IZIIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
-2032701358618028654 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [1, 3], [0, 3]]} | {"states": [1, 14], "expectation_value": -0.02872565382207075, "params": [[0.0694], [-0.07010000000000001]], "bitstrings": ["1110", "0001"], "total_optimization_steps": 10, "probabilities": [0.06610555070004429, 0.06610555070004429], "optimization_time": 0.30516481399536133} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1110", "0001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
ry(0.49187997624181967) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.5544396133547477) q[3];
cx q[2], q[3];
ry(0.5544396133547477) q[3];
cx q[2], q[3];
ry(-0.3686273634823362) q[3];
cx q[1], q[3];
ry(0.3686273634823362) q[3];
cx q[1], q[3];
ry(0.7282128200564459) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
rz(x1) q[3];
rz(x1) q[2];
rz(x1) q[1];
... | null | {"circuits": [], "gradients": []} | [
"ZZII",
"ZIZI",
"ZIIZ",
"ZIII",
"IZII",
"IIZI",
"IIIZ"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.970898 | [
-1.1088792267094953,
1.0849083872470233,
-0.7372547269646724,
1.4564256401128919,
0.9837599524836393,
-0.8230970995136118,
0.1879130233756393,
0.8368556945662969,
0.45915226625810546,
-0.880147795161003,
-0.4560720931233557,
-1.030065802850747,
0.38025973355676446,
0.19857814430317608,
-... | {
"n_parameters": 16,
"n_qubits": 4,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 26 |
91fd701868951eab612ba86420778b2e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [14, 42], "expectation_value": -1.2997902117914828, "params": [[0.0742, 0.067, 0.069, 0.078], [-0.0753, -0.0548, -0.053200000000000004, -0.062]], "bitstrings": ["110001", "010101"], "total_optimization_steps": 10, "probabilities": [0.029779727903636536, 0.02977972790363656], "optimization_time": 6.9027500152... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["010101", "110100", "110001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IZIIZI",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1,
-1,
0,
0
] | 0.970876 | [
-0.7131691907790075,
-0.6029729944224574,
-0.9519977999790217,
-0.0705116018152183,
-0.6867474283253041,
-0.7263254383589139,
-0.20641210917715294,
-0.18314979666666276,
1.246074321202835,
-0.16302890953712407,
0.9836842123631419,
-0.8467113254691783,
-0.29282426768644043,
0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
2ffc27a5b724099342a182a0eeedb400 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [473, 217], "expectation_value": -77.37024824468594, "params": [-0.0019, 0.664, 0.5216000000000001, 0.23620000000000002, 0.9015000000000001, 0.014400000000000001, 0.9019, 0.15360000000000001, 0.2953, 0.3094, 0.8975000000000001, 0.0112, 0.8957, 0.15180000000000002, 0.32170000000000004, 0.314, 0.3647, 0.347400... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(5) @ Z(1)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(9) @ Z(8)) + 11.5 * Z(1) + 13.5 * Z(2) + 14.0 * Z(3) + 3.0 * Z(4) + 2... | 18 | 10 | 3 | {"smallest_eigenvalues": [-106.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -98.5, "smallest_bitstrings": ["1100100110"], "largest_eigenvalue": 195.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.12141639333277594) q[0];
rz(0.5875767659390618) q[0];
rx(0.39364531235240824) q[1];
rz(0.022947473662661366) q[1];
rx(1.0939729446782351) q[2];
rz(-0.009552394016500612) q[2];
rx(0.7601870307661348) q[3];
rz(0.08567125003239319) q[3];
rx(0.03242317794669573) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIZIII",
"IIZIZIIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IZIIIIIZII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IZIIIIIIII"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
11.5,
13.5,
14,
3,
22,
3.5,
16,
4,
8,
-10
] | 0.972815 | [
-0.12141639333277596,
0.6046754408867627,
0.39364531235240824,
0.022947473662661366,
1.0939729446782351,
-0.009552394016500612,
0.7601870307661348,
0.08567125003239319,
0.03242317794669573,
0.5366124592176957,
0.9867348449863198,
0.06111205832705176,
1.0099806591443996,
0.29763421777716825... | {
"n_parameters": 87,
"n_qubits": 10,
"optimal_eigenvalue": -106.5,
"target_ratio": 0.97,
"target_value": -103.30499999999999
} | 14 |
0171c2c3e71893b20d430c7580c737fd | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [7594, 7598], "expectation_value": -4.064043477306559, "params": [[[3.1619, 0.00030000000000000003], [3.1609000000000003, 0.0054], [3.1594, 0.0073], [-0.0019, 0.0079], [3.1603000000000003, 0.0023], [3.1611000000000002, 0.0024000000000000002], [0.0024000000000000002, 0.003], [3.1609000000000003, 0.00900000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 1 | 13 | 1 | {"smallest_eigenvalues": [-4.875, -4.875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.875, "smallest_bitstrings": ["0001001001100", "0001001010001"], "largest_eigenvalue": 7.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(3.125414231016404) q[0];
rz(-0.0555741951074008) q[0];
rx(3.2553781206576864) q[1];
rz(0.24045390313499507) q[1];
rx(3.1868317444027094) q[2];
rz(0.320109628322907) q[2];
rx(0.06603727245992423) q[3];
rz(0.13545163544243816) q[3];
rx(3.280586560211983) q[4];
rz(-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": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIZIZI",
"IIIIIIIIIZZII",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIZZ",
"IIIIIIIIIZZIZ",
"IIIIIIIIIZZZI",
"IIIIIIIIIZZZZ",
"IIIIIIIZZIIII",
"IIIIIIZIZIIII",
"IIIIIZIIZIIII",
"IIIIIIZZIIIII",
"IIIIIZIZIIIII",
"IIIIIZZIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
... | 0.979503 | [
3.125414231016404,
-0.0555741951074008,
3.2553781206576864,
0.24045390313499507,
3.1868317444027094,
0.320109628322907,
0.06603727245992423,
0.13545163544243816,
3.280586560211983,
-0.5388525946364753,
3.200791540241317,
0.08945218226156176,
-0.02409748294137877,
-0.04983010500867155,
-0... | {
"n_parameters": 24,
"n_qubits": 13,
"optimal_eigenvalue": -4.875,
"target_ratio": 0.97,
"target_value": -4.72875
} | 14 |
159cd19d829ee4ab847c9545b38e61cb | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [491, 363], "expectation_value": -1.9545695312929268, "params": [0.9772000000000001, 0.0056, 2.2085, 0.0029000000000000002, 1.5276, 0.004, 2.2022, 0.0094, 1.741, 0.0086, 0.42110000000000003, 0.0034000000000000002, 2.205, 0.0082, 0.002, 0.008, 2.1982, 0.0082, 2.2092, 0.0005, 0.0063, 0.005, 0.00170000000000000... | 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(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(3) @ Z(5) @ Z(6)) + 0.125 * (Z(1) @ Z(7)... | 16 | 10 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010010100", "1000001110", "0011000110", "1000110100", "0011010100", "1000010101", "1000011100", "0010110100", "0100110100"], "largest_eigenvalue":... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5023422340445511) q[0];
ry(-0.1078429799343566) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.4881456839634753) q[2];
h q[3];
ry(1.5290680296283448) q[3];
rz(-pi) q[4];
ry(-0.020911826634736206) q[4];
h q[5];
cx q[5], q[2];
ry(0.4881456839634753) q[2];
cx q[5], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIIZZIIZ",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIIZZIZIII",
"IIZIIIIIZI",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"IZZIIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IZZIIIIIZI",
"ZIZIIIIIZI"... | [
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,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0,
... | 0.995232 | [
-1.60784788215442,
-1.6238057458678041,
-1.3844327741504878,
1.5290680296283448,
1.5023422340445511,
-0.9762913679269506,
0.6568418144021216,
-0.4563619175761679,
0.6837342847004768,
-0.30196362952333927,
0.2802325564006584,
-0.06699568295955809,
-0.15704114542010444,
0.15024319719377785,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
1673f94d6d7b328460e91313ffa1d801 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [374, 310], "expectation_value": -77.58419816291024, "params": [0.002, 0.24830000000000002, -0.0085, 0.2441, 0.3987, 0.0161, 0.395, 0.0048000000000000004, -0.0142, 0.2245, -0.0125, 0.2291, 0.17830000000000001, -0.08710000000000001, 0.1771, -0.08610000000000001, 0.398, -0.012100000000000001, 0.3895, -0.012, 0... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(9) @ Z(7)) + 5.5 * (Z(8) @ Z(3)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(9)) + 5.5 * Z(1) + -3.5 * Z(0) + -2.5 * Z(2) + 10.0 * Z(4) + 9... | 7 | 10 | 4 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["1011001001"], "largest_eigenvalue": 143.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.11738065667141742) q[0];
rz(0.3802604208061844) q[0];
rx(0.5627927276445155) q[1];
rz(-0.33707831797989446) q[1];
cx q[1], q[0];
rz(0.018596639519511265) q[0];
cx q[1], q[0];
rz(-0.44953782313726176) q[0];
ry(0.07524867423728887) q[0];
rz(1.0611304306688485) 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] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IZIIIIZIII",
"IZIIZIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
-3.5,
-2.5,
10,
9,
19.5,
8,
15.5,
3,
12
] | 0.970196 | [
-0.11738065667141742,
0.39885706032569446,
0.5627927276445155,
-0.33707831797989446,
-0.03713332900724125,
0.01208964135147875,
-0.07078054257580255,
-0.16450715938403795,
0.28135692972711945,
0.19960319414456948,
0.24608049144424715,
0.148713787253268,
-0.06902933977913103,
0.408648231039... | {
"n_parameters": 181,
"n_qubits": 10,
"optimal_eigenvalue": -92.5,
"target_ratio": 0.97,
"target_value": -89.725
} | 20 |
a645ae3643161db4224eacb5097991ef | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [883, 891], "expectation_value": -2.3975389333480184, "params": [0.056400000000000006, 0.055, 0.0656, 0.06670000000000001, 1.3999000000000001, 1.3999000000000001, 1.4053, 1.4025, 0.3504, 0.35500000000000004, 1.4005, 1.4067, 1.3955, 1.4015, 1.4013, 1.3969, 0.8592000000000001, 0.8410000000000001, 0.3603, 0.351... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 13 | 12 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 31, "first_excited_energy": -2.5, "smallest_bitstrings": ["100001001001",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.36080722853948355) q[0];
rz(0.0996859129594938) q[0];
rx(-0.13056929312637028) q[1];
rz(0.19671215211179605) q[1];
rx(0.6735834332027599) q[2];
rz(0.10719354986465578) q[2];
rx(0.7023405252413965) q[3];
rz(0.23632430860056663) q[3];
rx(0.04762823733000421) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIZIIZII",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIIZZZII",
"IIIIIIZIZZII",
"IIIIIIZZIZII",
"IIIIIIZZZIII",
"IIIIIIZZZZII",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIZIIIZII",
"IIIIZIIIIZII",
"IIIIZZIII... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
... | 0.973415 | [
0.36080722853948344,
0.09626794605094101,
-0.13056929312637028,
0.19671215211179605,
0.6735834332027599,
0.10719354986465578,
0.7023405252413965,
0.23632430860056663,
0.04762823733000421,
-0.376581061409579,
0.6521420165365777,
0.007883441816705363,
0.6497910334820518,
0.14400396751876127,... | {
"n_parameters": 139,
"n_qubits": 12,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 20 |
421dc0e0e103964520cbb860ec0bda39 | 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": 13, "source": 1, "target": 4}, {"weight": 18, "source": 1, "target": 2}, {"weight": 10, "source": 2, "tar... | {"states": [378, 218], "expectation_value": -12.725432300720417, "params": [[0.038400000000000004], [-0.07970000000000001]], "bitstrings": ["010000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.004301734637635444, 0.004961305772867234], "optimization_time": 2.1028950214385986} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 168.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.012388340079966701) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.012388340079966701) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.012388340079966701) q[2];
cx q[0], q[2];
rz(-0.6660843671540144) q[0];
rx(-0.08320873170170164) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
22.5,
2.5,
11,
9.5,
20.5,
14.5,
1,
14,
5
] | 0.970483 | [
0.012388340079966701,
1.4693534097425147,
-0.6660843671540132,
1.5899166718533837,
-0.9827053235728226,
2.2753017489986824,
1.3405976084313063,
0.09933892985721386,
0.4564329047357902,
0.241168567412698,
-0.08320873170170155,
0.011261907487312017,
-0.2729051234428472,
-0.9991115616669448,
... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -87,
"target_ratio": 0.97,
"target_value": -84.39
} | 80 |
504aff5065c6904e02914f6b44da8a9c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target": 3}, {"capaci... | {"states": [3, 15], "expectation_value": -2.625328487836539, "params": [[0.0698, 0.0673, 0.0553], [-0.07390000000000001, -0.0653, -0.0574]], "bitstrings": ["111100", "110000"], "total_optimization_steps": 10, "probabilities": [0.03918441750813127, 0.04067263329173117], "optimization_time": 3.4760069847106934} | -1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -0.25 * Z(0) + 1.5 * Z(4) + 0.25 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["111100", "110000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.218465923766839) q[0];
ry(0.042765624136427545) q[0];
rz(-0.8061052524417334) q[0];
rz(-1.0112966743957195) q[1];
ry(0.07111683196512385) q[1];
rz(2.066693006610179) q[1];
rz(2.322581491682673) q[2];
ry(0.018049925652938198) q[2];
rz(-0.6171351577780197) q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZZIIII",
"IZIZII",
"IIZIZI",
"IZZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
-1.25,
-0.5,
-1,
2,
-0.75,
-0.5,
-0.75,
-0.75,
-2.5,
-1,
-0.25,
1.5,
0.25,
0,
-0.5
] | 0.977881 | [
0.02681023544117119,
1.2949933238767635,
-0.04194887284367421,
1.1182076517744217,
0.012354700342274504,
1.5034941811146303,
1.3630154095874347,
-1.2292150948427067,
-0.139794753745842,
1.624751878363779,
0.02009940461632976,
0.11702147738122079,
-0.06360297258389466,
0.20187600412910067,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 6 |
2167743483924607683 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 5], [2, 3, 7], [4, 7], [0, 1], [1, 2, 6, 7]]} | {"states": [85, 87], "expectation_value": -2.0444621947440758, "params": [[[1.5729, -1.5732000000000002], [1.5731000000000002, 1.5731000000000002], [1.5728, 1.5732000000000002], [1.5729, 1.5729], [1.5728, 1.5682], [1.5732000000000002, 1.5728], [1.5682, 0.0682], [1.5736, 1.5737]]], "bitstrings": ["10101010", "10101000"]... | 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.25 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(7)) + 0.0... | 15 | 8 | 1 | {"smallest_eigenvalues": [-2.0833333333333335, -2.0833333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.083333333333333, "smallest_bitstrings": ["10000101", "10101000"], "largest_eigenvalue": 3.5000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.5405059226058502) q[0];
ry(1.6825361643686179) q[1];
ry(1.5472934617953105) q[2];
ry(1.5405059226058502) q[3];
ry(1.5472934617953105) q[4];
ry(1.5370089052884195) q[5];
ry(1.5961783282742352) q[6];
ry(1.5835516143604056) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx 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;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x0) q[3];
ry(x2) q[4];
ry(x3) q[5];
ry... | null | {"circuits": [], "gradients": []} | [
"IIZIIZII",
"IIIIZZII",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIZZI",
"ZIIIIIZI",
"IIIIIIZZ",
"IZIIIZII",
"ZZIIIIII",
"IZIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII"
] | [
0.5,
0.16666666666666666,
0.25,
0.16666666666666666,
0.5,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0,
0.29166666666666663,
0.16666666666666666,
0.29166666666666663,
0,
0.125,
0,
0.125
] | 0.972891 | [
1.5405059226058502,
1.6825361643686179,
1.5472934617953105,
1.5370089052884195,
1.5961783282742352,
1.5835516143604056,
-1.5468589651894504,
0.11630590812670238,
1.616567178399911
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -2.0833333333333335,
"target_ratio": 0.97,
"target_value": -2.0208333333333335
} | 1 |
dc72488dd6090670edbeccc77e6da35f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 6, "so... | {"states": [16, 1], "expectation_value": -4.203989617693013, "params": null, "bitstrings": ["01111", "11110"], "total_optimization_steps": 12, "probabilities": [0.12843648895208365, 0.8520018438428943], "optimization_time": 6.293170690536499} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + 0.25 * Z(2) + 0.75 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.022458364995426305) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.7680783155629591) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-1.601733329848004) q[3];
cx q[1], q[3];
rz(-0.5097096949881657) q[1];
rx(-1.660495736858362) q[1]... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5706) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"IZIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
-0.25,
0.5,
-0.5,
-1.5,
-0.75,
-1.25,
-0.25,
0.5,
0.25,
0.75
] | 0.981681 | [
-0.022458364995426305,
1.7047053329317832,
-1.7680783155629591,
-1.601733329848004,
-2.8853817213992103,
-0.5097096949881654,
1.464742343611176,
1.1540289150876992,
-1.6604957368583617,
0.003138072776439696,
1.489664131891325,
-1.1346427705466027,
-1.409100124374533,
-1.1761233738238577,
... | {
"n_parameters": 18,
"n_qubits": 5,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 245 |
b4844a241e7c75ea7eb690acd3c4c004 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 2], "expectation_value": -0.8831399904840993, "params": null, "bitstrings": ["110", "101"], "total_optimization_steps": 8, "probabilities": [0.12891599074045149, 0.7538151034229991], "optimization_time": 2.1514761447906494} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\ncry(-1.0398... | [
"IZZ",
"ZIZ",
"ZZI",
"IIZ",
"IZI",
"ZII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
9529baf1c272123f159cd9ccf2735587 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4... | {"states": [19, 63], "expectation_value": -3.893450485743458, "params": null, "bitstrings": ["1101100", "1000000"], "total_optimization_steps": 47, "probabilities": [0.1570018601144807, 0.523779836596342], "optimization_time": 47.03435230255127} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + -0.5 * Z(... | 1 | 7 | 2 | {"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];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.05951716756405023) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.02265479429026638) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.05951716756405023) q[1];
cx q[3], q[1];
h q[4];
cx q[2], q[4];
rz(-0.05951716756405023) q[4];
cx... | 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(1.5158) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.75,
-0.25,
-0.25,
0.75,
-0.25,
-0.5,
0.25,
-0.25,
-0.5,
0.25,
0,
0.5,
-0.25
] | 0.702551 | [
-0.05951716756405023,
0.02265479429026638,
-0.0017078621446601585,
-0.0009216693159784977,
-1.6675830071562805,
-1.5753684037053484,
-1.5740367613126494,
-1.5745622847367713,
1.3452619876330905
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 252 |
50803b752054f0512687e537ee7368f9 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [0, 20], "expectation_value": -3.4999057430342013, "params": null, "bitstrings": ["11111", "01011"], "total_optimization_steps": 15, "probabilities": [1.7262809281757173e-05, 0.9999394817654882], "optimization_time": 7.552781581878662} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(2) + -1.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-3.118963683468091) q[0];
ry(-0.017918109517936636) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5232555292397325) q[2];
ry(-0.11982451051349112) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.0455035030484382) q[3];
cx q[2], q[3];
cx q[2], q[0];
ry(-0.07016976767686646) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) 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",
"IZZII",
"ZIZII",
"IZIIZ",
"IIIZI",
"IIIIZ",
"IZIII",
"IIZII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-1
] | 0.997671 | [
-1.5523952299069044,
-1.4054683132329673,
1.5232555292397325,
-0.0910070060968764,
0.14033953535373292,
-0.02773759371322497,
-0.0009659747401112133
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
422319ba04d136ad73513dac1d0065c7 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [1783, 1767], "expectation_value": -12.31486294001486, "params": [0.0027, 0.7567, 0.9872000000000001, 0.0032, 0.9918, 0.0017000000000000001, 0.0028, 0.7429, 1.0001, -0.0009000000000000001, 0.9864, 0.0001, 0.9822000000000001, -0.1111, 0.5744, -0.2087, 0.0023, 0.7503000000000001, 0.9983000000000001, 0.0033, 1.... | -1.0 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * ... | 18 | 12 | 3 | {"smallest_eigenvalues": [-12.875, -12.875, -12.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.625, "smallest_bitstrings": ["100110001010", "100100011000", "100100000010"], "largest_eigenvalue": 29.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.5166574351848524) q[0];
rz(1.427206026017565) q[0];
rx(0.6652927820984921) q[1];
rz(1.6153204929972311) q[1];
rx(2.5306334617267017) q[2];
rz(1.1988742149468248) q[2];
rx(-0.008157283247904035) q[3];
rz(1.0151177535238425) q[3];
rx(1.154890385314211) q[4];
rz(1.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIIIZIIII",
"IIIIIIZZIIII",
"IIIZIIZIIIII",
"IIIIIZIZIIII",
"IIIZIZIIIIII",
"IIIIIZZIIIII",
"IIIIZIIZIIII",
"IIIZZIIIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIIIZIIIZ",
"IIIZIIIIIIIZ",
"IIZIIIIZIIII",
"IIZZIIIIIIII",
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIZI... | [
-1,
0.5,
-0.5,
0.5,
-0.5,
1,
0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.375,
1,
-1,
4,
4,
1.5,
-0.625,
3,
0.5,
2.25,
2.25,
0.5,
-0.125
] | 0.971317 | [
-0.5166574351848524,
-0.14359030077733115,
0.6652927820984921,
0.044524166202335104,
2.5306334617267017,
-0.3719221118480718,
-0.008157283247904035,
-0.5556785732710541,
1.1548903853142112,
0.15156788401350937,
1.981656772672947,
-0.14850940033601542,
1.1883051429482772,
-0.061917510887196... | {
"n_parameters": 57,
"n_qubits": 12,
"optimal_eigenvalue": -12.875,
"target_ratio": 0.97,
"target_value": -12.48875
} | 97 |
4933592906219d9862808ddd29c9b319 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [340, 372], "expectation_value": -97.69527476391819, "params": [[[0.4088, 0.1032], [0.8995000000000001, 0.3033], [0.0952, 0.325], [0.8994000000000001, 0.7325], [0.48860000000000003, 0.7731], [0.8926000000000001, 0.8148000000000001], [0.0047, 0.8196], [0.8849, 0.082], [0.8003, 0.0367], [-0.07590000000000001, ... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(3)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(3)) + 15.5 * Z(3) + 0.5 * Z(2) + 14.5 * Z(1) + -7.0 * Z(0) + 1... | 15 | 10 | 3 | {"smallest_eigenvalues": [-124.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -113.5, "smallest_bitstrings": ["1010001011"], "largest_eigenvalue": 170.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.37999860683996833) q[0];
ry(0.6550485849790628) q[1];
ry(0.004079562630673262) q[2];
ry(1.2945684111120417) q[3];
ry(-0.025501865470006088) q[4];
ry(1.1838315577455265) q[5];
ry(-0.25720925692042934) q[6];
ry(0.8136555459669929) q[7];
ry(0.7975877168353006) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IIZIZIIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"ZIIIIIZIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
15.5,
0.5,
14.5,
-7,
15,
17.5,
9.5,
25,
-3.5,
-6.5
] | 0.970767 | [
0.37999860683996833,
0.6550485849790628,
0.004079562630673262,
1.2945684111120417,
-0.025501865470006088,
1.1838315577455265,
-0.25720925692042934,
0.8136555459669929,
0.7975877168353006,
-0.11985213532633195,
-0.04079358551156825,
-0.007057206677813999,
-0.05123715716551869,
0.57455057378... | {
"n_parameters": 59,
"n_qubits": 10,
"optimal_eigenvalue": -124.5,
"target_ratio": 0.97,
"target_value": -120.765
} | 53 |
9b4be5d748a292e481722f1ef8f75020 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}]} | {"states": [45, 13], "expectation_value": -3.925142417377187, "params": [[-0.1618, -0.11080000000000001], [0.1705, 0.1738]], "bitstrings": ["11010010", "11110010"], "total_optimization_steps": 20, "probabilities": [0.016536784194805497, 0.022894662048081944], "optimization_time": 4.787356853485107} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + 0.4 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 1.0 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.6000000000000005, -6.6000000000000005], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.999999999999999, "smallest_bitstrings": ["11110010", "11110101"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14463547101575489) q[0];
rz(-0.9013886526061183) q[0];
rx(0.14200284685399922) q[1];
rz(0.6212693590588447) q[1];
rx(-0.14471618748001755) q[2];
rz(0.4407728646085142) q[2];
rx(-0.14471618748001755) q[3];
rz(-0.9525842351766118) q[3];
rx(1.8131142699027647) 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[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIZIIZI",
"IIIIIIZZ",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IZIZIIII",
"IZIIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZII... | [
-0.5,
-0.5,
0.4,
0.5,
-0.5,
-0.5,
1,
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
1,
-0.2,
2,
-1.7000000000000002,
-1.7000000000000002,
1.5,
3,
1.5,
-0.6000000000000001,
-0.30000000000000004
] | 0.972151 | [
0.1446354710157549,
-0.737814615895959,
0.14200284685399922,
0.6212693590588447,
-0.14471618748001755,
0.4407728646085142,
-0.9525842351766118,
1.8131142699027647,
0.16895032385674386,
0.13369873663334575,
0.20067474335624766,
1.5954489610039433,
0.23189398635567227,
0.7353956036851526,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -6.6000000000000005,
"target_ratio": 0.97,
"target_value": -6.402
} | 16 |
bbe36c72142a04c8b1698fed3f77c25c | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 3}, {"weight": 7, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 24, "source":... | {"states": [350, 413], "expectation_value": -1.5483103544073247, "params": [[-0.0443, -0.0519, -0.039, -0.051000000000000004], [0.0415, 0.0632, 0.053200000000000004, 0.060000000000000005]], "bitstrings": ["010100001", "001100010"], "total_optimization_steps": 10, "probabilities": [0.0044376676676031405, 0.0044376676676... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
-2074563811701182950 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4, 6, 7], [2, 3, 4, 5], [1, 3], [2, 3, 4, 6], [0, 4]]} | {"states": [231, 183], "expectation_value": -0.7819577690785702, "params": [[-0.45320000000000005], [0.4354]], "bitstrings": ["00011000", "01001000"], "total_optimization_steps": 50, "probabilities": [0.013120093809226227, 0.013198077986702032], "optimization_time": 2.4640097618103027} | 0.25 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["01001000", "11100000", "10010001", "11000110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.43291979953506043) q[0];
h q[1];
h q[2];
ry(1.5541677442701485) q[2];
h q[3];
ry(-0.4881230695207709) q[3];
cx q[1], q[3];
ry(0.4881230695207709) q[3];
cx q[1], q[3];
ry(-0.40706319726346946) q[3];
ry(0.9081929005977128) q[1];
h q[4];
cx q[4], q[0];
ry(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[2];
rz(x0) q[2];
cx q[4],... | null | {"circuits": [], "gradients": []} | [
"IIIZIZII",
"IZIZIIII",
"IZIIIZII",
"ZIIZIIII",
"ZIIIIZII",
"ZZIIIIII",
"IIIZZIII",
"IIIIZZII",
"IZIIZIII",
"IIZZIIII",
"IIZIIZII",
"IIZIZIII",
"IIIIZIZI",
"IIIZIIIZ",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII",
"IIIIIIZI",
"IIIIIIIZ"
] | [
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.375,
0.375,
0.24999999999999994,
... | 0.972451 | [
1.5541677442701485,
-0.8658395990701209,
1.0070566592190862,
-0.7629758766928278,
-0.9762461390415418,
0.41345757144044915,
0.6474180333388309,
-0.8141263945269389,
0.5215497345177639,
-0.19429785969104774,
-0.040523609602955875,
0.32732553270866943,
-0.008244177822828366,
0.00518672098286... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -1.75,
"target_ratio": 0.97,
"target_value": -1.6975
} | 24 |
2e5dd8b9b1358cbf1942ca7a552d2e2f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "... | {"states": [0, 4095], "expectation_value": -43.08683310338215, "params": [[[0.0032, 1.6], [0.0021000000000000003, 0.0015], [0.0017000000000000001, 0.002], [0.0033, 0.0023], [0.0035, -0.0031000000000000003], [0.0024000000000000002, 0.0025], [0.003, 0.0022], [0.0026000000000000003, -0.0026000000000000003], [0.0023, 0.003... | -3.5 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -4.0 * (Z(5) @ Z(3)) + -4.5 * (Z(5) @ Z(0)) + -4.0 * (Z(5) @ Z(4)) + 1.0 * (Z(6) @ Z(3)) + -3.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(0)) + 1.0 * (Z(7) @ Z(4)) + -4.5 * (Z(7) @ Z(5)) + -3.0... | 15 | 12 | 1 | {"smallest_eigenvalues": [-46.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.0, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 41.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.07001054004530316) q[0];
ry(0.025909889572915658) q[1];
ry(-0.2590753691901706) q[2];
ry(-0.07251191204272155) q[3];
ry(-0.07671261402336688) q[4];
ry(0.0713670753161929) q[5];
ry(-0.1062993471518335) q[6];
ry(0.06004870850923525) q[7];
ry(-0.07112133298184833) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIIIIIIZIIIZ",
"IIIIIIZIZIII",
"IIIIIIZIIIIZ",
"IIIIIIZZIIII",
"IIIIIZIIZIII",
"IIIIIZIIIIIZ",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIZIIIZIII",
"IIIIZIIIIIIZ",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIIIIZIZI",
"IIIIIIIIIIZZ",
"IIIIIIIZI... | [
-3.5,
1,
-3,
-4,
-4.5,
-4,
1,
-3.5,
0.5,
1.5,
1,
-3.5,
1,
-4.5,
-3,
-3,
1.5,
0.5,
-4.5,
-3.5,
1,
0.5,
1,
0.5,
-4,
0.5,
-2.5,
0.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
1.5,
1,
1,
-3.5,
1,
1,
-2,
1,
0.5,
0.5,
0.5,
0.5
] | 0.972219 | [
0.07001054004530316,
0.025909889572915658,
-0.2590753691901706,
-0.07251191204272155,
-0.07671261402336688,
0.0713670753161929,
-0.1062993471518335,
0.06004870850923525,
-0.07112133298184833,
0.03181973082030453,
2.528745294712344,
-0.04485202801717754,
0.028441314100671918,
-0.00883435328... | {
"n_parameters": 17,
"n_qubits": 12,
"optimal_eigenvalue": -46,
"target_ratio": 0.97,
"target_value": -44.62
} | 18 |
6f98ac79783fe743485024afff5419b3 | 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": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 11, "sourc... | {"states": [430, 234], "expectation_value": -17.59291005226546, "params": [[-0.0178, -0.0193], [0.0426, 0.07010000000000001]], "bitstrings": ["001010001", "100010101"], "total_optimization_steps": 10, "probabilities": [0.004770256225016048, 0.0059185810438670714], "optimization_time": 3.519746780395508} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 182.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027300810277835305) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027300810277835305) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027300810277835305) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.027300810277835305) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIZII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
20.5,
6.5,
20.5,
17.5,
1.5,
19.5,
9.5,
8.5,
3.5
] | 0.970453 | [
0.027300810277835305,
-1.6846101293861904,
0.938784588184504,
-1.1821904956661067,
0.7975934431822864,
-1.4767740366808548,
0.8989824274424834,
-1.3292049087560975,
1.1183003308946238,
1.2125592818158257,
-0.31727518491282247,
-0.3357887155274212,
0.5888730662001501,
-1.0094947394247964,
... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -90.5,
"target_ratio": 0.97,
"target_value": -87.785
} | 56 |
68c7da6fdb681219b05150137870d7db | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}]} | {"states": [5, 1], "expectation_value": -4.7499873347537624, "params": null, "bitstrings": ["1010", "1110"], "total_optimization_steps": 8, "probabilities": [1.2623559847835846e-05, 0.9999873681076068], "optimization_time": 2.963493585586548} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.25 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1110"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4747694771302854) q[0];
cx q[1], q[0];
rz(0.4747694771302853) q[1];
rx(1.6040217911993713) q[1];
h q[2];
cx q[0], q[2];
rz(0.2577776396192456) q[2];
cx q[0], q[2];
rz(0.2577776396192455) q[2];
rx(1.6040217911993713) q[2];
h q[3];
cx q... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(1.5706) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\n... | [
"IIZZ",
"IZIZ",
"ZIIZ",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
-0.25,
-0.75,
1.25,
-0.25,
-0.25,
-0.75,
1.25
] | 0.97003 | [
0.4747694771302854,
0.2577776396192456,
-0.24792115441309612,
1.6040217911993713,
0.6580701942906415,
0.4924019843505966,
-0.4259244675879271,
0.9035120634644073,
0.1777470916142513,
0.29049043206086195,
-0.40365758275486097,
0.5898445102530697,
0.6900131868427873,
0.7498956364737696,
-0... | {
"n_parameters": 16,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 121 |
62cf0b1aa2f21b710dc273bc2e7c1873 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [32, 31], "expectation_value": -0.05806358721252339, "params": [[0.0211], [-0.0263]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.01604197293070865, 0.016076880618637348], "optimization_time": 1.3924777507781982} | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -2.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * Z(4) + -0.25 * Z(0) + -1.25 * Z(5) + 0.25 * Z(1) + 1.25 * Z(2) + 1.75 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000", "100010"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.25137557506976543) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(-0.3034559764764657) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.32149893878205565) q[3];
cx q[4], q[3];
rz(0.05900538221320195) q[4];
rx(0.125911296508555... | OPENQASM 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 ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"ZIIIIZ",
"ZIIIZI",
"IZIZII",
"IIIZZI",
"IZZIII",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
-0.5,
0.75,
-1.5,
-2,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-1.75,
-0.25,
-1.25,
0.25,
1.25,
1.75
] | 0.972404 | [
0.25137557506976543,
-0.30313069804113246,
0.23033659415730043,
-0.3034559764764657,
0.35568709670647886,
0.32149893878205565,
0.05900538221320224,
-0.175513034202568,
-0.3239146546667025,
-0.8972253164971841,
-0.9873010555019224,
0.12591129650855593,
-0.1131226468916046,
0.022047127083097... | {
"n_parameters": 48,
"n_qubits": 6,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 145 |
e187371d430b945e0e1d69926f02e89f | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 4, "source": 2, "target": 5}, {"capacity": 4, "source": 4, "target": 1}, {"capaci... | {"states": [7423, 6655], "expectation_value": -54.72023956083385, "params": [[0.0222, 0.049600000000000005, 0.1275, 0.1854], [-0.6976, -0.398, -0.1787, -0.1495]], "bitstrings": ["110001100000000", "110011000000000"], "total_optimization_steps": 100, "probabilities": [0.015269050661567807, 0.015269050661567809], "optimi... | -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(7)) + -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(3)) + 2.0 * (Z(9) @ Z(8)) + -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5... | 1 | 15 | 4 | {"smallest_eigenvalues": [-59.83333333333255], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.833333333330536, "smallest_bitstrings": ["110011000000000"], "largest_eigenvalue": 153.16666666666669} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(-0.12846654868711385) q[0];
rz(0.14685153751655733) q[0];
rx(0.07075102675611293) q[1];
rz(0.8668088802488729) q[1];
cx q[1], q[0];
rz(0.46804895589914874) q[0];
cx q[1], q[0];
rx(-0.12846654868711388) q[0];
rz(-0.15832510316320736) q[0];
rz(0.05214212492330192) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIIZII",
"IIIIIIIIIIIZZII",
"IIIIIIIZIIIZIII",
"IIIIIIZIIIIIZII",
"IIIIIIZZIIIIIII",
"IIIIIIZIIIIZIII",
"IIIIIZIIIIIIZII",
"IIIIIZIZIIIIIII",
"IIIIIZIIIIIZIII",
"IIIIIZZIIIIIIII",
"IIIIIIIIIIZIIIZ",
"IIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIZ",
"IIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZ",
"... | [
-0.5,
1,
-1,
-1,
2,
-2,
-0.5,
1,
-1,
2,
-0.5,
1,
-1,
0.5,
-0.5,
1,
-1,
0.6666666666666667,
-2,
-1,
0.5,
1,
0.5,
1,
2,
1,
2,
0.5,
1,
0.5,
0.5,
1,
1,
2,
1,
1,
2,
1,
1.5,
3,
1.5,
1.5,
3,
1.5,
3,
-0.5,
7,
-1,
14,
7,
0.5,... | 0.971406 | [
-0.12846654868711382,
0.6149004934157067,
0.07075102675611293,
0.8668088802488729,
1.0620761926639546,
0.07475898552088385,
-1.166640594281076,
0.11603444742160975,
0.15658895274400933,
1.022334621228668,
0.815482292845408,
1.629876098291157,
-0.030601744312807353,
1.0103907102293828,
0.... | {
"n_parameters": 74,
"n_qubits": 15,
"optimal_eigenvalue": -59.83333333333215,
"target_ratio": 0.97,
"target_value": -58.03833333333218
} | 6 |
1ded08f6529a91a75a516e90939bacd1 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 8}, {"source": 2, "target": 4}, {"sour... | {"states": [0, 306], "expectation_value": -2.710340427227036, "params": [0.61, -0.002, 0.6076, 0.0033, 0.5974, -0.003, 0.5604, 0.007200000000000001, 0.5312, -0.0022, 0.3793, 0.0004, 0.6059, 0.0029000000000000002, 0.599, 0.0037, 0.6065, 0.0007, 0.6026, 0.0097, 0.5092, 0.0027, 0.3138, 0.0024000000000000002, 0.53160000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(1) + -0.5 * Z... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["110011100", "110011010", "011011100", "011001101", "001101101", "001100111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.1014676901028397) q[0];
rz(1.7095486686877983) q[0];
rx(0.5594346829523708) q[1];
rz(1.3587324580055888) q[1];
rx(0.3572546617923563) q[2];
rz(1.6732469595030448) q[2];
rx(2.052412737678369) q[3];
rz(1.6378200648245222) q[3];
rx(0.9445386146085545) q[4];
rz(1.47682... | OPENQASM 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",
"IIZIIIIIZ",
"IIIIIZIZI",
"ZIIIIIIZI",
"IIIIZIZII",
"ZIIIZIIII",
"IIIZIIZII",
"IIZZIIIII",
"IIIZIZIII",
"IZZIIIIII",
"IZIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-1.5,
-0.5
] | 0.970427 | [
2.1014676901028397,
0.13875234189290125,
0.5594346829523708,
-0.2120638687893071,
0.3572546617923563,
0.10245063270814833,
2.052412737678369,
0.06702373802962627,
0.9445386146085546,
-0.09397228308045107,
-0.050067259596977956,
0.5935221093931261,
-0.23775495664280927,
-0.5593209296625502,... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 95 |
fcbb218df226fcf3e63ace465c64eb26 | 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": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target... | {"states": [42581, 43605], "expectation_value": -2.017603685278429, "params": [0.5356000000000001, 0.5291, -0.0004, 0.0053, 0.5331, 0.5213, -0.0097, 0.0094, 0.762, 0.6559, 0.46180000000000004, 0.4746, 0.5386000000000001, 0.527, -0.0112, 0.0187, 0.007, 0.005, 0.5316000000000001, 0.5266000000000001, -0.0109, 0.0041, 0.52... | 0.25 * (Z(0) @ Z(1)) + -0.0009297520661157026 * (Z(2) @ Z(0)) + -0.0009297520661157026 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002066115702479339 * (Z(4) @ Z(0)) + -0.0009297520661157026 * (Z(4) @ Z(2)) + 0.0002066115702479339 * (Z(5) @ Z(1)) + -0.0009297520661157026 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008... | 13 | 16 | 3 | {"smallest_eigenvalues": [-2.0229338842974958], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0229338842974673, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.012809917354807} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.4796767432005775) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.1493698907853389) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.1493698907853389) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.4796767432005775) q[3];
cx q[2], q[3];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0009297520661157026,
-0.0009297520661157026,
0.25,
0.0002066115702479339,
-0.0009297520661157026,
0.0002066115702479339,
-0.0009297520661157026,
0.25,
-0.0008264462809917356,
0.0003099173553719008,
-0.0008264462809917356,
-0.0008264462809917356,
0.0003099173553719008,
-0.0008264... | 0.972919 | [
1.4796767432005775,
0.1493698907853389,
-0.11091886730795715,
-0.040183750222890585,
0.004887040775316865,
-0.027779610427973403,
0.08212541687419017,
-0.00958042607699886,
-0.7631704852111495
] | {
"n_parameters": 9,
"n_qubits": 16,
"optimal_eigenvalue": -2.022933884297506,
"target_ratio": 0.97,
"target_value": -1.9622458677685808
} | 28 |
dd5fc1f9f83fb22d203285a7c9a347ac | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 6, "target":... | {"states": [0, 507], "expectation_value": -5.504236519566396, "params": [0.3844, 0.8425, -0.078, 0.48610000000000003, 0.4138, 0.8197, -0.3594, 0.8416, -0.3815, 0.6588, -0.06960000000000001, 0.802, -0.4217, 0.7211000000000001, 0.253, 0.6937, -0.4449, 0.8511000000000001, 0.381, 0.7029000000000001, -0.4546, 0.8791, 0.3807... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(6) | 6 | 9 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["000000100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.8172203096163698) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.8172203096163698) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.6794975297045968) q[1];
cx q[0], q[1];
rz(-0.6794975297045966) q[0];
rx(2.048574796605975) q[0];
rz(-0.67... | 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.583059 | [
-0.8172203096163698,
-0.6794975297045968,
-0.8500188890012612,
1.5707962886514641,
2.048574796605975
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 166 |
97aa58ef0b431934bfaa14698e7612e3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [57, 29], "expectation_value": -4.499899063456086, "params": null, "bitstrings": ["000110", "100010"], "total_optimization_steps": 27, "probabilities": [1.6414457491183143e-05, 0.9999303761353588], "optimization_time": 18.44847798347473} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.0651359293991675) q[0];
rz(-pi) q[0];
ry(-2.9863728943382646) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-3.0966768290779063) q[2];
h q[3];
ry(1.416522520487516) q[3];
cx q[3], q[0];
ry(0.0756279699701927) q[0];
cx q[3], q[0];
ry(0.07903094769679948) q[3];
ry(-0.0588420... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"IZIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-2,
0,
0
] | 0.993396 | [
-1.5356385769847074,
-1.4300324274255363,
1.4790868765185854,
1.416522520487516,
-0.1512559399403854,
-0.0018919058882961165,
0.15806189539359897,
0.27325054957639605,
0.06988879116685,
-0.1176840429531697,
-0.012299817357459168
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
d67dce3f5139cf39967f12d8ad7a1f95 | 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": 13, "source": 0, "target": 6}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 1, "ta... | {"states": [250, 234], "expectation_value": -3.619793989994903, "params": [[-0.0324], [0.0257]], "bitstrings": ["100000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.002419077667757944, 0.002613710058997507], "optimization_time": 3.567392110824585} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 12.0 * Z(1) + 9.5 * Z(0) + 11.0 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 141.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.057985733596822256) q[0];
rz(-0.08921433292265135) q[0];
rx(0.8289694419369887) q[1];
rz(-0.25300377968612575) q[1];
rx(0.9066313360301113) q[2];
rz(0.12177703936276048) q[2];
rx(0.6242911106387234) q[3];
rz(0.24462902398542496) q[3];
rx(-0.05191058184150418) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"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,
12,
9.5,
11,
12,
2.5,
18,
1.5,
10,
6.5
] | 0.971565 | [
-0.057985733596822256,
0.02695926161404545,
0.8289694419369887,
-0.25300377968612575,
0.9066313360301113,
0.12177703936276048,
0.6242911106387234,
0.24462902398542496,
-0.05191058184150418,
0.3538364534705118,
1.0072361229926894,
0.24733858529044117,
0.27827590024031423,
0.0244402588190312... | {
"n_parameters": 105,
"n_qubits": 9,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 11 |
e0b9c24fb45ae4a4b516382818d3356a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 888], "expectation_value": -14.333385260576858, "params": [-0.5255000000000001, -0.062400000000000004, 0.5599000000000001, 0.0026000000000000003, 0.799, 1.123, -0.2559, 0.004, -0.0022, 1.5362, 0.0021000000000000003, 0.0086, 0.8438, 0.8328, -0.38280000000000003, 0.0091, 0.8954000000000001, 0.5381, -0.5849... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + -2.5 * (Z(2) @ Z(7)) + 1.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 *... | 6 | 10 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["0010000111"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.5987397247527203) q[0];
rz(1.5565654866125067) q[0];
rx(1.3414863476265921) q[1];
rz(2.5228131811269066) q[1];
rx(-0.07282720449465764) q[2];
rz(2.321246976446698) q[2];
rx(1.0142480694764038) q[3];
rz(2.7706556272319256) q[3];
rx(0.30758239959314104) q[4];
rz(2.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IZZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZIZIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"IIIIIIIZII"... | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-2,
0.5,
-2.5,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-2,
-1.5,
-1.5
] | 0.966147 | [
0.5987397247527204,
-0.01423084018238982,
1.341486347626592,
0.9520168543320097,
-0.07282720449465765,
0.7504506496518019,
1.0142480694764036,
1.1998593004370293,
0.30758239959314104,
0.6038592587708639,
1.4201961472795583,
1.5295534632059757,
0.41169821835850856,
0.5074645511839991,
0.1... | {
"n_parameters": 148,
"n_qubits": 10,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 500 |
266260d621043cabf37512f90b4b26ac | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [102, 86], "expectation_value": -4.9991283032519105, "params": null, "bitstrings": ["0011001", "0101001"], "total_optimization_steps": 36, "probabilities": [0.06552828227119237, 0.9338519872382248], "optimization_time": 38.6616268157959} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(2) + 0.0 * Z(1) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101001", "0011001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.477898318581454) q[0];
h q[1];
ry(-0.4888733129307691) q[1];
h q[2];
cx q[2], q[1];
ry(0.4888733129307691) q[1];
cx q[2], q[1];
ry(-0.6924805366395752) q[1];
ry(1.0450823337261748) q[2];
cx q[0], q[2];
ry(-0.25224595363223157) q[2];
cx q[0], q[2];
cx q[0], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IIIZZII",
"ZIIIZII",
"IIIIZZI",
"IZIZIII",
"ZZIIIII",
"IIZZIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIIIZI",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1,
0,
-0.5,
0
] | 0.998002 | [
-1.5808231262727073,
-1.495224561598988,
1.477898318581454,
-0.9777466258615382,
0.7928363800939433,
-0.4713266192410723,
0.5044919072644631,
-0.44230783479700575,
0.11582191220683138,
-0.1832459711098804,
-0.009696904386748695,
0.19372804678613653,
0.11888128948169988,
0.0742715900397142,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
6632099811496938244 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3], [0, 2], [0, 4], [0, 1], [2, 4]]} | {"states": [14, 15], "expectation_value": -0.006183345386289146, "params": [[[1.502, 0.0004], [1.6299000000000001, 0.009600000000000001], [1.6207, 0.0063], [1.6347, 0.0058000000000000005], [1.597, 0.0047]]], "bitstrings": ["10001", "10000"], "total_optimization_steps": 170, "probabilities": [0.03846828048495339, 0.0405... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.5, "smallest_bitstrings": ["10000", "10001", "10100", "01111", "01110", "01011"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.6686571673948385) q[0];
cx q[3], q[0];
cx q[0], q[2];
rz(0.6686571673948385) q[2];
cx q[0], q[2];
rz(1.8235326137983066e-08) q[3];
rx(-0.6888034531496897) q[3];
h q[4];
cx q[0], q[4];
rz(0.6686571673948385) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"IIZIZ",
"ZIIIZ",
"ZIZII",
"IIIZZ",
"IZIII",
"IIIIZ",
"IIZII",
"ZIIII",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.601516 | [
0.6686571673948385,
1.8235326069356357e-8,
-0.6888034531496897
] | {
"n_parameters": 3,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 105 |
-8266188259455972362 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [0, 1], [1, 2], [4, 6]]} | {"states": [89, 83], "expectation_value": -1.8391930009208826, "params": null, "bitstrings": ["0100110", "0101100"], "total_optimization_steps": 49, "probabilities": [0.050129494132700486, 0.7317076875442983], "optimization_time": 43.47052621841431} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["0101100", "0100011", "1011100", "0100110", "1011001", "0101001", "1010011", "1010110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.4637136746945448) q[1];
h q[2];
cx q[2], q[1];
ry(0.4637136746945448) q[1];
cx q[2], q[1];
ry(-0.43957494939434205) q[1];
cx q[0], q[1];
ry(0.43957494939434205) q[1];
cx q[0], q[1];
ry(0.6835042933923784) q[0];
ry(-0.38901058450551546) q[1];
ry(1.1... | 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[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IZIZIII",
"IIIIIZZ",
"IIIIZZI",
"ZIZIIII",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.971579 | [
-0.9274273493890896,
1.1299093256843704,
-0.8791498987886841,
1.3670085867847568,
-0.4729414048598631,
0.2856894503781211,
0.19815180501664653,
0.46294272547785154,
-0.37181802491295474,
-0.47525683187533907,
-0.051529207126292255,
0.07475027060978395,
0.13018312985332625,
0.14701767616712... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 19 |
df291902c871f6dbb60c148e9571c06f | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target":... | {"states": [254, 510], "expectation_value": -17.467827875157234, "params": null, "bitstrings": ["100000001", "000000001"], "total_optimization_steps": 100, "probabilities": [0.10638938737888678, 0.27958069542595476], "optimization_time": 265.0359058380127} | -3.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 1.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(3)) + -3.5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.0, "smallest_bitstrings": ["000000001"], "largest_eigenvalue": 31.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.5195591691043847) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.28527407850417524) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.43057299297269147) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.682541815658909) q[3];
cx q[1], q[3... | null | {"node": 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];\ncry(1.5708) q[2], 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... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"... | [
-3.5,
1,
-4,
-2.5,
-3,
0.5,
1,
-3.5,
-3,
1,
1,
-3.5,
1.5,
-3,
-3.5,
-3.5,
1.5,
-3,
0.5,
-3.5,
1,
0.5,
1,
-3,
0.5,
1.5,
-3.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.535746 | [
-0.5195591691043847,
-0.28527407850417524,
-0.43057299297269147,
-0.682541815658909,
-0.6336429644516204,
-0.10707601252825519,
-0.3502200525585478,
-1.5707962652472778,
-1.0507199017298698
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -41,
"target_ratio": 0.97,
"target_value": -39.769999999999996
} | 239 |
-3806175369360907504 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 10, 7], [1, 4, 7, 8, 10], [3, 4, 6, 7, 8, 10], [0, 5, 7], [9, 2, 3, 5], [0, 3, 4, 5, 8, 9, 10], [2, 7], [2, 3, 4, 6, 8, 9, 10], [1, 3, 4, 7, 8], [3, 4, 5, 7, 10], [0, 2, 5, 8, 9], [0, 1, 5, 6], [1, 5, 8, 9, 10]]} | {"states": [1509, 2021], "expectation_value": -2.508998684350289, "params": [1.5532000000000001, 1.5837, 0.6311, 0.6897, 0.9129, 0.9292, 1.3111000000000002, 1.8321, 1.5991, 1.5343, 1.7147000000000001, 1.3900000000000001, 1.8833000000000002, 1.4262000000000001, 0.0806, 0.099, 1.582, 1.5549000000000002, 1.440200000000000... | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.18333333333333335 * (Z(10) @ Z(1)) + 0.10714285714285714 * (Z(10) @ Z(0)) + 0.18333333333333335 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(10)) + 0.1 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.18095238095238098 * (Z(4) @ Z(10)) + 0.18... | 14 | 11 | 1 | {"smallest_eigenvalues": [-3.1166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.016666666666667, "smallest_bitstrings": ["00000011010"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.4565566804214707) q[0];
rz(pi/2) q[0];
ry(1.2395957589309916) q[1];
ry(1.596407879887085) q[2];
ry(1.0653544758547075) q[3];
ry(1.4735095066135344) q[4];
ry(2.0159913315366307) q[5];
ry(1.8412273780410557) q[6];
ry(-0.3319286255106216) q[7];
ry(1.6500349662335376)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"ZIIIIIIIIZI",
"ZIIIIIIIIIZ",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"ZIIZIIIIIII",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"ZIIIIIZIIII",
"IIIZIIZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"ZIZIIIIIIII",
"IIZZIIIIIII",
"IIZIIIZIIII",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"ZIIIIIIZIII",
"IIIZIIIZI... | [
0.16666666666666666,
0.18333333333333335,
0.10714285714285714,
0.18333333333333335,
0.25,
0.21666666666666667,
0.1,
0.023809523809523808,
0.18095238095238098,
0.18333333333333335,
0.15000000000000002,
0.07380952380952381,
0.18095238095238098,
0.13333333333333336,
0.18095238095238098,
0... | 0.97092 | [
1.4565566804214707,
1.2395957589309916,
1.596407879887085,
1.0653544758547075,
1.4735095066135344,
2.0159913315366307,
1.8412273780410557,
-0.3319286255106216,
1.6500349662335376,
1.318403878526172,
1.423738475096481,
1.1550192466069338,
1.5397125933100433,
-0.15903701210254007,
0.137814... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -3.1166666666666667,
"target_ratio": 0.97,
"target_value": -3.0231666666666666
} | 32 |
94b4685949b0232e6f45bdcd5b80e7ab | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [54, 58], "expectation_value": -4.999898992057627, "params": null, "bitstrings": ["1001001", "1000101"], "total_optimization_steps": 33, "probabilities": [1.634968701396955e-05, 0.9999303728259872], "optimization_time": 26.035645246505737} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(5) + -1.5 * Z(6) + 0.0 * Z(1) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.6003112138562008) q[0];
h q[1];
ry(1.5341979766004288) q[1];
ry(-3.0257311896122494) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.1006576401825402) q[2];
cx q[1], q[2];
ry(-0.00033704463714811367) q[1];
h q[3];
ry(1.3542772226348128) q[3];
ry(-0.07867566167356... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IZIIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZZIIIII",
"ZIIIIZI",
"IIZIZII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
-0.5,
-1.5,
0,
-0.5
] | 0.996853 | [
-1.6003112138562008,
-1.5712307081150918,
-1.4349152172149955,
1.5341979766004288,
1.3542772226348128,
-0.11441089581268042,
0.2013152803650804,
0.18845931115321368,
-0.11702323405277497,
-0.0006740892742962273,
-0.06790808289822309,
-0.07867789271409684,
0.01138260793953559
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
3f94dd6ecbd55419246df23f10ba4026 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [45, 47], "expectation_value": -54.188442757726904, "params": [[[1.5728, 1.5678], [-1.5682, 1.5679], [1.5732000000000002, 1.5733000000000001], [1.5729, 1.5732000000000002], [1.5732000000000002, 1.5725], [1.5725, -0.6379], [1.5736, 0.0826], [1.5685, 1.5735000000000001]]], "bitstrings": ["11010010", "11010000"... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(0) @ Z(5)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(6) @ Z(7)) + 16.0 * Z(2) + 2.0 * Z(1) + 4.0 * Z(3) + 9.5 * Z(4) + 6.5 * Z(5) + 4.5 * Z(0) + 15.5 * Z(7) + 6.5 * Z(6) | 15 | 8 | 1 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["11010000"], "largest_eigenvalue": 123.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.5123980298648974) q[0];
ry(-1.8621272007672949) q[1];
ry(1.5847488151902969) q[2];
ry(1.4832645392118713) q[3];
ry(1.5847488151902969) q[4];
ry(1.5214823789609917) q[5];
ry(1.6332755459406871) q[6];
ry(1.641028064215234) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx 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] ... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIZIZII",
"IIIZIIZI",
"IIZIIIIZ",
"ZIZIIIII",
"ZIIIIIIZ",
"IZIIZIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IZIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
16,
2,
4,
9.5,
6.5,
4.5,
15.5,
6.5
] | 0.973482 | [
1.5123980298648974,
-1.8621272007672949,
1.5847488151902969,
1.4832645392118713,
1.5214823789609917,
1.6332755459406871,
1.641028064215234,
1.6067178267011064,
1.5836428808162142,
1.526008715541036,
-1.7969355357061532,
1.215361676453609,
1.4827953064779087
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 26 |
-561865825961081192 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 4, 6], [0, 1, 2, 5, 6, 7], [4, 5, 7], [2, 3, 5, 6], [1, 3, 5, 6], [0, 1, 2, 3, 4, 8], [0, 1, 2, 4, 6, 7], [8, 1, 4, 6], [1, 2, 3, 5], [8, 0, 3, 5], [0, 3, 7], [8, 7]]} | {"states": [381, 349], "expectation_value": -2.682886434831212, "params": [2.287, 0.8510000000000001, 0.0179, -0.0119, 1.6343, 1.5221, 2.6637, 1.8359, 1.5676, 1.5699, 1.5333, 1.6153000000000002, 1.5742, 1.5742, 1.6628, 1.4651, 1.5679, 1.5677, 0.001, 2.2411000000000003, 0.0026000000000000003, -0.0028, -0.5753, 0.0069000... | 0.13333333333333333 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.23333333333333334 * (Z(3) @ Z(1)) + 0.31666666666666665 * (Z(3) @ Z(0)) + 0.23333333333333334 * (Z(3) @ Z(2)) + 0.18333333333333335 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(0)) + 0.1 * (Z(4) @ Z(2)) + 0.06666666... | 14 | 9 | 1 | {"smallest_eigenvalues": [-2.7166666666666663, -2.7166666666666663], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.683333333333333, "smallest_bitstrings": ["010100010", "000110001"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(2.252762382970683) q[0];
rz(pi/2) q[0];
ry(-0.0069290451556095825) q[1];
ry(1.5819083337800897) q[2];
ry(2.644024901091591) q[3];
ry(1.6108620103235844) q[4];
ry(1.4214862216056545) q[5];
ry(1.563508966258389) q[6];
ry(1.6952003194248495) q[7];
ry(1.7631031818775142)... | OPENQASM 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",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZZIIIII",
"... | [
0.13333333333333333,
0.21666666666666667,
0.13333333333333333,
0.23333333333333334,
0.31666666666666665,
0.23333333333333334,
0.18333333333333335,
0.1,
0.1,
0.06666666666666667,
0.26666666666666666,
0.1,
0.18333333333333332,
0.2,
0.15,
0.2,
0.11666666666666667,
0.2,
0.33333333333... | 0.978856 | [
2.252762382970683,
-0.0069290451556095825,
1.5819083337800897,
2.644024901091591,
1.6108620103235844,
1.4214862216056545,
1.563508966258389,
1.6952003194248495,
1.7631031818775142,
-0.0005322419741839702,
-1.3355459825721518,
-0.09847922839845337,
1.0428249209257003,
0.012791410260208089,
... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -2.7166666666666663,
"target_ratio": 0.97,
"target_value": -2.635166666666666
} | 1 |
1408358734701937150 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 10], [2, 11], [3, 11], [8, 7], [9, 11, 5, 7], [0, 10, 3, 6], [10, 11], [11, 6], [10, 2, 5, 6], [3, 4], [9, 10, 2, 5], [1, 3, 6], [9, 3, 7], [9, 6, 7], [8, 2]]} | {"states": [764, 732], "expectation_value": -5.106440787777514, "params": [-0.0132, 0.0173, 2.7254, -0.0032, 2.7995, 0.9132, -0.0021000000000000003, 0.8046000000000001, 2.4926, 0.0028, 2.7941000000000003, 0.0037, 2.7972, 0.812, 2.7412, 0.0028, 2.7745, 0.0033, 2.8048, 0.0016, 0.0879, 0.7174, -0.0199, 0.0002, 2.7626, -2.... | 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(10) @ Z(4)) + 0.08333333333333333 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(10)... | 4 | 12 | 1 | {"smallest_eigenvalues": [-5.666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.416666666666665, "smallest_bitstrings": ["110100100011"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.31955054362638363) q[0];
rz(1.7488941399898472) q[0];
rx(2.6332237302760513) q[1];
rz(1.6347470334164784) q[1];
rx(3.007776756771974) q[2];
rz(2.4150262711635255) q[2];
rx(0.11704730143194013) q[3];
rz(2.5837574752582624) q[3];
rx(2.3698100156928237) q[4];
rz(1.47... | OPENQASM 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": []} | [
"IIIIIIIIIZZI",
"IIIIIIIZIZII",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIZIIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IZIIIIIZIIII",
"IIZIIIIIZIII",
"IIZIIIZIIIII",
"IZZIIIIIIIII",
"ZIIIIIIIIZII",
"ZIIIIIIZIIII",
"ZIIIIIIIZIII",
"ZIIIIIZIIIII",
"ZIZIIIIIIIII",
"IIIIZIIIIZII",
"IIIIZIIZI... | [
0.5,
0.16666666666666666,
0.5,
0.5,
0.08333333333333333,
0.16666666666666666,
0.5,
0.5,
0.08333333333333333,
0.16666666666666666,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.41666666666666663,
0.16666666666666666,
0.16666666666666666,
... | 0.983413 | [
0.3195505436263836,
0.17809781319495,
2.6332237302760513,
0.06395070662158207,
3.007776756771974,
0.8442299443686291,
0.11704730143194013,
1.0129611484633656,
2.3698100156928237,
-0.09540225019134663,
3.1732690040187217,
-0.09143569245957997,
3.34668989075479,
0.5869352995586833,
2.86461... | {
"n_parameters": 34,
"n_qubits": 12,
"optimal_eigenvalue": -5.666666666666667,
"target_ratio": 0.97,
"target_value": -5.496666666666667
} | 10 |
0f1d9308b8b1d06d30bfa4de6cbc9040 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [34, 56], "expectation_value": -0.1210403735469342, "params": [[-0.0135, 0.054200000000000005], [0.034800000000000005, -0.038900000000000004]], "bitstrings": ["011101", "000111"], "total_optimization_steps": 10, "probabilities": [0.016274874748062225, 0.01653574856789311], "optimization_time": 2.844655990600... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6230010565610689) q[0];
rz(0.06856754591903558) q[0];
rx(0.05228651755820995) q[1];
rz(0.2247192988641979) q[1];
rx(0.623001056561069) q[2];
rz(0.422733719531101) q[2];
rx(-0.04142085028007082) q[3];
rz(0.5561544826034971) q[3];
rx(0.03278011693440643) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} | [
"IIZIIZ",
"ZIZIII",
"ZIIIIZ",
"IIZIZI",
"IZZIII",
"ZZIIII",
"IZIIZI",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-0.5,
-1.5,
-1
] | 0.972312 | [
0.623001056561069,
0.312284130557242,
0.05228651755820995,
0.2247192988641979,
0.422733719531101,
-0.04142085028007082,
0.5561544826034971,
0.03278011693440643,
0.14994131830223134,
0.8695450938462626,
1.3203077449435106,
-0.04661008090570343,
0.2783265346359588,
0.09648654899272954,
1.0... | {
"n_parameters": 113,
"n_qubits": 10,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 27 |
602e7e43551da616abe4c4df4831fe40 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [111, 109], "expectation_value": -65.22356556274454, "params": [0.3542, 0.26480000000000004, 0.7906000000000001, -0.015600000000000001, 0.7903, 0.1635, 0.1507, 0.35450000000000004, 0.7859, -0.0027, 0.7923, 0.0383, 0.38820000000000005, 0.1885, 0.7879, 0.06470000000000001, 0.34690000000000004, 0.2556, 0.7939, ... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 8.5 * Z(1) + 8.5 * Z(0) + 12.0 * Z... | 18 | 8 | 4 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 165.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.00021696480811712882) q[0];
rz(0.11299576799707767) q[0];
rx(0.8176166171604654) q[1];
rz(0.07405583765192796) q[1];
rx(0.7313260385322925) q[2];
rz(0.2526125778278959) q[2];
rx(-0.021752633386906497) q[3];
rz(0.4588767341463954) q[3];
rx(0.9405122284984047) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
8.5,
8.5,
12,
2,
21,
20,
14.5,
14
] | 0.974603 | [
0.00021696480811712882,
0.1347606152743974,
0.8176166171604654,
0.07405583765192796,
0.7313260385322925,
0.2526125778278959,
-0.021752633386906497,
0.4588767341463954,
0.9405122284984047,
0.05513705964613934,
0.6732959719381568,
0.14996121652947428,
0.3260676100029805,
0.2377761262008859,
... | {
"n_parameters": 94,
"n_qubits": 8,
"optimal_eigenvalue": -75.5,
"target_ratio": 0.97,
"target_value": -73.235
} | 10 |
3796afa0473620b48d81bea69c86f42d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, ... | {"states": [963, 995], "expectation_value": -3.6142008086421513, "params": [-0.0004, 0.0066, 0.3902, 0.3614, 0.3729, 0.37720000000000004, 0.369, 0.36920000000000003, 0.3788, 0.3819, 0.2692, 0.2677, 0.0017000000000000001, 0.0012000000000000001, 0.0079, 0.0032, 0.0041, 0.003, 0.39540000000000003, 0.38580000000000003, 0.3... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 14 | 11 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["10000011100", "10100101000", "11000010100", "10000101010", "11000100010", "10000101100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5899352928247497) q[0];
ry(-3.021496863739739) q[1];
rz(-pi) q[1];
ry(-3.034342491071087) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4030680960288997) q[3];
cx q[3], q[1];
ry(-0.10792990784099249) q[1];
cx q[3], q[1];
ry(0.0988631445583654) q[3];
h q[4];
ry(1.342770... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIZIIZZ",
"IIIIIIIZZIZ",
"IIIIIIZIZIZ",
"IIIIIIZZIIZ",
"IIIIIIIZZZI",
"IIIIIIZIZZI",
"IIIIIIZZI... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
... | 0.997951 | [
-1.5899352928247497,
-1.3672257662143292,
1.4030680960288997,
1.34277062910385,
-0.2907847084955473,
0.21585981568198498,
0.32020556690502916,
0.1209561364945819,
0.1977262891167308,
0.1722406381790694,
-0.06752529045448798
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 1 |
ed01866ce53def5a36a69737a2fd120b | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [6427, 6425], "expectation_value": -5.113306370594681, "params": [-0.0047, -0.0022, -0.0024000000000000002, -0.002, 0.9067000000000001, 0.9087000000000001, 0.8975000000000001, 0.8987, -0.0026000000000000003, -0.0018000000000000002, -0.0008, -0.0047, 0.9053, 0.9106000000000001, -0.0024000000000000002, -0.0001... | 0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(7) @ Z(9)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(9)) + -0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -0.5 * (Z(10) @ Z(12)) + 0.5 * (Z(11) @ Z(9)) + -0.5 * (Z(11) @ Z(12)) + 1.0 * (Z(11) @ Z(10)) + -0.5 * (Z(1) @ Z(12)) + 0.5 * (Z(2) @ Z(... | 13 | 15 | 1 | {"smallest_eigenvalues": [-10.333333333333238], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.33333333333317, "smallest_bitstrings": ["110011011100110"], "largest_eigenvalue": 24.666666666666693} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.129145857303265) q[0];
rz(-0.04281809130716757) q[0];
rx(3.3646756556499158) q[1];
rz(-0.07126208372567235) q[1];
rx(0.2591409259719783) q[2];
rz(0.304554161903536) q[2];
rx(0.009149764329273965) q[3];
rz(-0.1564246855355176) q[3];
rx(-0.039435622912399666) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} | [
"IIIIIZIIIIIIIIZ",
"IIIIIZIZIIIIIII",
"IIIIIIIZIIIIIIZ",
"IIIIIZZIIIIIIII",
"IIIIIIZIIIIIIIZ",
"IIIIIIZZIIIIIII",
"IIZIIZIIIIIIIII",
"IIIIZZIIIIIIIII",
"IIZIZIIIIIIIIII",
"IIIZIZIIIIIIIII",
"IIZZIIIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIZIIIIIIIIIIZI",
"IIIIZIIIIIIIZII",
"IIIZIIIIIIIIZII",
"... | [
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
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1,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.4166666666666667,
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0.5,
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1,
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-0.5,
0,
-1,
3,
3,
-0.08333333333333331,
1.8333333333333335,
1.8333333333333335... | 0.974438 | [
-0.129145857303265,
-0.04281809130716757,
3.3646756556499158,
-0.07126208372567235,
0.2591409259719783,
0.304554161903536,
0.009149764329273965,
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-0.039435622912399666,
-0.14455685554995432,
0.29369761094609903,
2.532166941005374,
-0.020718965674505502,
3.10609841605757... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
82f2332f741b5ec7aa4bb36843cd0c9a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [49, 41], "expectation_value": -4.499937480746297, "params": null, "bitstrings": ["001110", "010110"], "total_optimization_steps": 26, "probabilities": [1.635691870469763e-05, 0.9999687410148395], "optimization_time": 20.93436288833618} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9403241929083443) q[0];
rz(-pi) q[0];
ry(-0.01720215763442262) q[1];
rz(-pi) q[1];
h q[2];
ry(1.3821290800872883) q[2];
cx q[2], q[1];
ry(0.0694860038996782) q[1];
cx q[2], q[1];
ry(0.05613383548624982) q[2];
ry(0.05850050848206348) q[1];
h q[3];
ry(-1.53601897824... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"IZIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-0.5
] | 0.996279 | [
-1.536018978243284,
-1.632424008860247,
-1.484108165260796,
1.351841337460216,
1.3821290800872883,
-0.1389720077993564,
-0.025202427947681655,
0.11226767097249964,
0.06281983496563942,
0.009137857048212211,
0.11700101696412696,
0.06302910739104162,
0.030614649874232056,
0.05044832124532061... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
9d8cdd3ce137f8d1d89fd1fc011d16ae | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [80, 82], "expectation_value": -4.169211058055908, "params": [0.9118, 0.0035, -0.017, 0.5372, 0.9057000000000001, 0.3078, 0.2886, 0.6484, -0.0088, 0.5339, 0.8031, 0.2636, 0.0031000000000000003, 0.6005, 0.9072, 0.0029000000000000002, -0.0224, 0.0058000000000000005, 0.9097000000000001, 0.006200000000000001, 0.... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.5 * Z(1) + -1.0 * Z(2) + -... | 3 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0010111", "0101101"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-9.836064862456478e-09) q[0];
cx q[4], q[0];
rz(-1.5707965476190617) q[0];
rx(1.5707963181757285) q[0];
cx q[4], q[1];
rz(-9.836064862456478e-09) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(-9.836064862456478e-09) q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IIZIIZI",
"IIIIZZI",
"IZZIIII",
"IZIIIZI",
"ZIZIIII",
"ZIIIIZI",
"ZIIIZII",
"ZZIIIII",
"IIIZZII",
"IZIZIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-1,
-1.5,
-2,
-1
] | 0.818182 | [
-9.836064862456478e-9,
1.5707962869286853,
-1.5707965476190617,
1.5707963719222657,
-1.5707963008706793,
1.5707963181757285
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 155 |
9c4ffdc8f25f93e2f8968f50dd7f51ab | 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": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 4, "ta... | {"states": [240, 242], "expectation_value": -3.511993592670712, "params": [0.5081, 0.0049, 0.5007, 0.0036000000000000003, 0.5107, 0.0019, 0.5067, 0.0019, 0.5046, 0.0014, 0.5007, 0.0011, 0.5012, 0.0012000000000000001, 0.5007, -0.0044, 0.0027, 0.16740000000000002, -0.0002, 0.12090000000000001, 0.07930000000000001, 0.2485... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(7) + -0.5 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) + -0.5 * Z(6) | 7 | 8 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["00001101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.608868210443316) q[0];
rz(-0.14733020547082054) q[0];
rx(0.7502829691030971) q[1];
rz(-0.07147560437601679) q[1];
cx q[1], q[0];
rz(-0.0947569921265168) q[0];
cx q[1], q[0];
rz(1.6892735273202746) q[0];
ry(1.7481048599699454) q[0];
rz(-1.561467842372125) q[0];
rx(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIZIIZI",
"ZIIZIIII",
"ZIIIIIZI",
"IIZIIZII",
"IIIZZIII",
"ZZIIIIII",
"IZZIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"ZIIIIIII",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-0.5,
-1,
-0.5,
0,
0,
-0.5
] | 0.975203 | [
0.6088682104433161,
-0.24208719759733738,
0.7502829691030971,
-0.07147560437601679,
0.5883532802498372,
0.24359987068669753,
0.5176092008773064,
0.047220334946775244,
-0.04312982187037024,
0.15416221169274216,
-0.06887866860110603,
0.22066155062854795,
0.727194851296366,
0.0851610946396917... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 10 |
f156f991f453bf2551660b1dc00bf1f6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -15.629842209356408, "params": [-0.0002, -0.13240000000000002, -0.0021000000000000003, -0.1019, -0.0016, -0.218, -0.0038, -0.21760000000000002, -0.0041, -0.21450000000000002, -0.0034000000000000002, -0.2102, -0.0039000000000000003, -0.215, -0.002, -0.21450000000000002, -0.0006000... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(7... | 5 | 9 | 3 | {"smallest_eigenvalues": [-18.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.12570712515330748) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.12570712515330748) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.22704783355376354) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.22704783355376354) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIZIII",
"IZZIIIIII",
"IIZZIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
-0.5,
-0.5,
-1,
-1,
-0.75,
-1,
-0.75,
-1,
-0.25,
-1,
-1.5,
-1,
-1,
-1,
-0.75,
3,
-1,
-0.25,
-3.5,
-0.25,
-0.75,
1.5,
1.5,
-2,
-0.25,
2,
1.75
] | 0.569152 | [
-0.12570712515330748,
-0.22704783355376354,
-0.5549918258138725,
-0.37992434425719607,
-1.068212924335073,
0.9192695580131233,
-1.396744275441003,
0.02980346737333757,
-1.107224868469489,
0.40004090429014577,
0.8474854472406951,
-1.0331853808194436
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 285 |
9ab53f7aa1b34f991ec1ef091b962aaf | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 9}, {"source": 4, "target":... | {"states": [0, 511], "expectation_value": -13.832309730631188, "params": [0.0719, 0.3134, 0.644, -0.9248000000000001, 0.7367, 1.0918, 0.4859, 1.8718000000000001, 0.8607, 0.9640000000000001, 0.0381, 0.9443, 0.8617, 1.5045000000000002, 0.22310000000000002, 1.2326000000000001, 0.859, 1.6768, 0.2617, 0.6013000000000001, 0.... | -1.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(2)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + -2.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(8)) + 0.5 *... | 6 | 9 | 2 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000000", "110000000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-1.5707963110076806) q[1];
cx q[0], q[1];
rz(0.6832137086642707) q[0];
rx(-0.9111440687134774) q[0];
rz(0.6832138826884693) q[1];
rx(-0.9111440687134775) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.8732269411565464) 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] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIZII",
"ZIIIZIIII",
"ZIIIIIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIZIZIIII",
"ZIZIIIIII",
"IIZIIZIII",
"ZIIZIIIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IZIIIZIII",
"IZZIIIIII",
"IZIZIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"... | [
-1.5,
-2,
0.5,
-2,
-2,
0.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
-2,
0.5,
-2.5,
0.5,
-2.5,
-2,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.563858 | [
-1.5707963110076806,
-0.8732269411565464,
-0.17109252809281125,
-0.616256738806983,
0.6832137086642708,
0.683213882688469,
-0.9111440687134776
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 216 |
374946054185001663 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 5], [11, 4], [8, 3], [3, 4], [9, 10], [2, 10], [2, 7], [0, 11], [9, 11], [1, 4], [1, 6], [10, 6], [8, 11], [8, 6], [11, 5], [8, 4], [8, 9], [9, 1], [8, 7], [11, 7], [9, 7], [0, 6], [9, 6], [4, 5], [0, 9], [8, 0], [3, 7], [1, 10]]} | {"states": [1235, 2860], "expectation_value": -3.998991829519567, "params": [[[1.5727, 0.0019], [1.5727, 1.5737], [-0.019100000000000002, 1.5727], [-0.7187, 0.7185], [-1.5734000000000001, 1.5742], [-1.574, 1.5686], [1.5733000000000001, 1.5688], [1.5684, 1.5687], [0.0028, 1.5308000000000002], [-0.0026000000000000003, -0... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(11) @ Z(0)) + 0.5 * (Z(11) @ Z(3)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(2) @ Z(11)) + 0.5... | 15 | 12 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -5.0, "smallest_bitstrings": ["000111011001", "111000010110", "010111011010", "101000101100", "111000100110", "010011010011", "000111101001", "101100101100", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5707963762364534) q[0];
ry(1.5707963762364534) q[1];
ry(-3.0618504276975014e-08) q[2];
ry(-0.7461182403551003) q[3];
ry(-1.570796295101157) q[4];
ry(-1.5707962911442328) q[5];
ry(1.570796306655057) q[6];
ry(1.5707963713581785) q[7];
ry(3.1311812149689974e-08) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIZ",
"IIIIZIIIZIII",
"IIIIIIIIZIIZ",
"IIIIZZIIIIII",
"IIIIIZIIZIII",
"IZIIIIIIIIIZ",
"IZIIIIIIZIII",
"IZIIIZIIIIII",
"IIIIIZZIIIII",
"IZIIIIZIIIII",
"ZIIIIIIIIIIZ",
"ZIIIIIIIZIII",
"ZZIIIIIIIIII",
"ZIIIIIIIIZII",
"IIIIIIIZIZII",
"IIZIIIIIZIII",
"IZZIIIIIIIII",
"IIZIIIZII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.666667 | [
1.5707963762364534,
-3.0618504276975014e-8,
-0.7461182403551003,
-1.570796295101157,
-1.5707962911442328,
1.570796306655057,
1.5707963713581785,
3.1311812149689974e-8,
3.8469262778198156e-8,
-0.22125562505235113,
1.5707963253469366,
0.04590624216887536,
1.5707965150479577,
0.74611810808721... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 373 |
cde6b48ed870286595c1455af7aff8bd | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [1, 0], "expectation_value": -1.7419606411298552, "params": null, "bitstrings": ["110", "111"], "total_optimization_steps": 4, "probabilities": [0.003943316176215607, 0.9919772858285041], "optimization_time": 1.281661033630371} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + -0.75 * Z(0) + -0.75 * Z(1) + -0.75 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-1.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["111"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5486) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5486) q[0];\nry(-1.4449)... | [
"IZZ",
"ZIZ",
"ZZI",
"ZZZ",
"IIZ",
"IZI",
"ZII"
] | [
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.75,
-0.75
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
7694147522867217377 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 6], [8, 1, 4, 5], [8, 2, 3, 6], [2, 3, 4, 6, 7], [0, 4]]} | {"states": [95, 93], "expectation_value": -1.5140217760611643, "params": [0.1097, -0.005200000000000001, -0.0876, 0.0079, 0.35810000000000003, 0.0088, 0.099, 0.0005, 1.2912000000000001, -0.0162, 0.8789, 0.0004, 1.2561, -0.0161, 0.8687, 0.0056, 1.3029000000000002, -0.016300000000000002, 1.2978, 0.0067, 1.2915, -0.008, 1... | 0.5 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(1)) + 0.05 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.1333333... | 6 | 9 | 1 | {"smallest_eigenvalues": [-1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.6999999999999997, "smallest_bitstrings": ["111000000", "111000010", "000010100", "110100010", "10000110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.035799424428865315) q[0];
rz(1.3253558766943536) q[0];
rx(0.19745344362217956) q[1];
rz(1.5004760430111546) q[1];
rx(1.3722228333820687) q[2];
rz(1.6890342667946552) q[2];
rx(0.7764980162821221) q[3];
rz(1.5823400295826726) q[3];
rx(1.5767955652589933) 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": []} | [
"IIZIIIIZI",
"ZIZIIIIII",
"ZIIIIIIZI",
"IIZIZIIII",
"IIIIZIIZI",
"ZIIIZIIII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZZIIII",
"IIZIIIZII",
"ZIIIIIZII",
"IIIIZIZII",
"IIZIIZIII",
"ZIIIIZIII",
"IIIIZZIII",
"IIIIIZZII",
"IZZIIIIII",
"IZIIZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IIIIZIIIZ",
"... | [
0.5,
0.08333333333333333,
0.08333333333333333,
0.05,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.13333333333333333,
0.08333333333333333,
0.05,
0.13333333333333333,
0.08333333333333333,
0.05,
0.13333333333333333,
0.05,
0... | 0.970793 | [
0.035799424428865315,
-0.245440450100543,
0.19745344362217956,
-0.07032028378374254,
1.3722228333820685,
0.11823793999975829,
0.776498016282122,
0.01154370278777618,
1.5767955652589933,
-0.0059245236966754405,
1.4226232732630688,
0.14663085786841268,
1.5118156750169256,
0.06435233388291983... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -1.7000000000000002,
"target_ratio": 0.97,
"target_value": -1.649
} | 39 |
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