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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
668f90355fba57bcb4fb60386433c90f | 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": 10, "source": 0, "... | {"states": [171, 107], "expectation_value": -22.549004690774357, "params": [[-0.0422, -0.0026000000000000003, 0.0126], [0.0697, 0.07010000000000001, 0.0694]], "bitstrings": ["01010100", "10010100"], "total_optimization_steps": 10, "probabilities": [0.016205820854216124, 0.018011985968329036], "optimization_time": 4.405... | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 5.0 * Z(0) + 7.5 * Z(1) + 14.0 * Z(2) + 13.0 * Z(4) + 2.0 * Z(3) + 13.5 * Z(6) + 4.5 * Z(5) + 13.0 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 117.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.03151214468051604) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(-0.03151214468051604) q[2];
cx q[0], q[2];
rz(-1.5704264103695476) q[0];
rx(-1.5760082004320597) q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.03151214468051604) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIZII",
"IIIIZZII",
"IIIZZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5,
7.5,
14,
13,
2,
13.5,
4.5,
13
] | 0.924291 | [
-0.03151214468051604,
-1.5704264103695473,
1.5705991780520145,
1.5706765641735296,
1.5707989169663568,
-1.57058498502492,
1.5712808281552364,
-1.5760082004320595
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 204 |
0411bb1d6e6dbee927745193cc5513fc | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [525, 527], "expectation_value": -97.60060562207079, "params": [[[1.0868, -0.0028], [0.1895, 0.0028], [0.0383, -0.00030000000000000003], [0.4475, -0.004200000000000001], [0.4469, -0.0016], [0.0023, -0.0061], [1.0946, 0.6629], [0.10840000000000001, 0.7012], [0.5383, 0.7235], [0.7596, 0.1565]], [[0.5211, -0.00... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(3) @ Z(6)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(9) @ Z(6)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(9)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(8) @ Z(7)) + 14.0 * Z(0) + -5.5 * Z(1) + 3.5 * Z(4) + 15.5 * Z(6) + 3... | 15 | 10 | 4 | {"smallest_eigenvalues": [-102.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -96.5, "smallest_bitstrings": ["0111110000"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.1875927105193598) q[0];
ry(0.27986557455181726) q[1];
ry(-0.15433106690291537) q[2];
ry(0.5864971806373135) q[3];
ry(0.37078531746557186) q[4];
ry(0.05947375883768198) q[5];
ry(1.1369911079912849) q[6];
ry(0.04304071856881464) q[7];
ry(0.7206585290080753) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIIZ",
"IIIZIIZIII",
"IIIZZIIIII",
"ZIIZIIIIII",
"ZIIIIIZIII",
"IIZIIIIIIZ",
"IIZIIZIIII",
"ZIZIIIIIII",
"IZIIZIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"ZIIIIIIIII",
"IIZIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
14,
-5.5,
3.5,
15.5,
3.5,
1.5,
19.5,
22,
12,
-9.5
] | 0.972602 | [
1.1875927105193598,
0.27986557455181726,
-0.15433106690291537,
0.5864971806373135,
0.37078531746557186,
0.05947375883768198,
1.1369911079912849,
0.04304071856881464,
0.7206585290080753,
0.8799186681043127,
0.08650217859581108,
-0.03044606232719897,
-0.06480267808755716,
0.01731209573503017... | {
"n_parameters": 80,
"n_qubits": 10,
"optimal_eigenvalue": -102.5,
"target_ratio": 0.97,
"target_value": -99.425
} | 30 |
7e799239f8573f120a2c5e15cda2e88f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [0, 8], "expectation_value": -2.2705789126748552, "params": [0.4066, 0.005200000000000001, 0.0009000000000000001, 0.31820000000000004, 0.0028, 0.223, 0.002, 0.29760000000000003, 0.40650000000000003, 0.0066, 0.0054, 0.31620000000000004, 0.0046, 0.2896, 0.0015, 0.29760000000000003, 0.4001, 0.0077, 0.0012000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3) | 18 | 4 | 4 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0111"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.013661432647873829) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.47799463725369296) q[1];
h q[2];
ry(1.609883237122917) q[2];
h q[3];
ry(1.609883237122917) q[3];
h q[4];
cx q[4], q[1];
ry(0.47799463725369296) q[1];
cx q[4], q[1];
ry(-0.6440649203767641) q[1];
ry(0.9857223264... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IZZI",
"IIZZ",
"IZIZ",
"IZZZ",
"ZIIZ",
"IIZI",
"IZII",
"IIIZ",
"ZIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.75,
-0.75,
-0.25,
-1
] | 0.994711 | [
-1.5961244559276881,
1.609883237122917,
-0.9559892745073859,
0.7778346010594781,
-0.4321667361998622,
0.4157754507244771,
-0.42379636835380385,
0.245207488748664,
-0.0379388834944252,
0.03472662903914467,
0.0730459640739915,
0.07797912356133081,
-0.0856693429277921
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 1 |
a748f2da2700c98e3b57fef1b29c5a5b | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [508, 511], "expectation_value": -14.259531545883098, "params": null, "bitstrings": ["1000000011", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.12688845922082453, 0.4182739452820695], "optimization_time": 203.25519704818726} | -2.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.13434474463766727) q[0];
ry(0.04514134453244986) q[1];
ry(-0.10348894410373284) q[2];
ry(-0.13603164567968565) q[3];
ry(-0.10348894410373284) q[4];
ry(-0.020858194535045928) q[5];
ry(0.03380889313738458) q[6];
ry(0.19149599443985504) q[7];
ry(-0.2259623913990188)... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5706) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIIZZIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIIIZ"... | [
-2,
-2,
-2,
-2,
-2,
-2,
-1.5,
-1.5,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970699 | [
-0.13434474463766727,
0.04514134453244986,
-0.10348894410373284,
-0.13603164567968565,
-0.020858194535045928,
0.03380889313738458,
0.19149599443985504,
-0.2259623913990188,
0.07708681214372058,
3.094538471773446,
-0.07339828994543168,
-0.14187370937801355,
0.03836023652465803,
-0.128300943... | {
"n_parameters": 17,
"n_qubits": 10,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 32 |
bb78aafd3760534f3907e4f69dd6636f | 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": 1}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 2, "source": ... | {"states": [2048, 2047], "expectation_value": -13.491786359449804, "params": [[[-0.0111, -0.5615], [0.0071, -0.031100000000000003], [0.0019, -0.0025], [0.003, 0.0036000000000000003], [0.0028, 0.0025], [0.0021000000000000003, 0.0019], [0.0023, 0.002], [0.0022, -0.0019], [0.0021000000000000003, 0.0025], [0.0025, 0.0011],... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(10) @ Z(1)) + -0.25 * (Z(10) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(10)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(11) @ Z(1)) + -0.25 * (Z(11) @ Z(10)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(10)) + -0.5 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(11)) + -0.... | 15 | 12 | 4 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.4039418545305201) q[0];
ry(0.17171995756921088) q[1];
ry(0.020867470426914864) q[2];
ry(0.004964469121684292) q[3];
ry(0.02548658170073107) q[4];
ry(0.026019479781423) q[5];
ry(0.0009254070972236268) q[6];
ry(-0.03349558598214186) q[7];
ry(0.026019479781423) 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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IZIIIIIIIIZI",
"IZIIIIIIIIIZ",
"IIIIIZIIIIZI",
"IZIIIZIIIIII",
"IIIIZIIIIIZI",
"ZIIIIIIIIIZI",
"ZZIIIIIIIIII",
"IIIIIIIIIZZI",
"IZIIIIIIIZII",
"IIIIIZIIIZII",
"IIIIZIIIIZII",
"ZIIIIIIIIZII",
"IIIIIIIZIIZI",
"IIIIIZIZIIII",
"IZIZIIIIIIII",
"IIIZIZIIIIII",
"IIIZZIIII... | [
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-1,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
... | 0.973582 | [
0.4039418545305201,
0.17171995756921088,
0.020867470426914864,
0.004964469121684292,
0.02548658170073107,
0.026019479781423,
0.0009254070972236268,
-0.03349558598214186,
-0.014958136742279762,
-0.8256794975014188,
-0.005810749587001762,
-0.5347689507992558,
-0.15419949337583663,
-0.0092277... | {
"n_parameters": 61,
"n_qubits": 12,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 74 |
d92b7c12d97dc605feea13254bd8dff9 | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [43, 41], "expectation_value": -6.26666521656577, "params": null, "bitstrings": ["1010100", "1010110"], "total_optimization_steps": 28, "probabilities": [0.2134849812769365, 0.21348894007073743], "optimization_time": 21.019670248031616} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + -0.75 * Z(4) + 0.75 * Z(6) + 0.75 * Z(3) + 0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["1110110", "1110100", "1010100", "1010110"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.1613355818092186) q[0];
h q[1];
ry(-0.12233573057545974) q[2];
rz(-pi) q[2];
h q[3];
ry(1.3171455343153773) q[3];
h q[4];
ry(-1.4549864237177321) q[4];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.1613355818092186) q[0];
cx q[6], q[0];
ry(-1.3359098122324058) q[0];... | 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(-1.5681) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IIZZIII",
"ZIIZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
1.75,
-0.25,
-0.5,
-0.5,
0,
-0.25,
-1,
-0.75,
0.75,
0.75,
0.5
] | 0.978301 | [
-0.3226711636184372,
1.0297858894541518,
-1.3860618782316705,
-1.4549864237177321,
-1.2701039327304473,
1.3171455343153773,
0.6533473382192567,
-0.13161175900391658,
-0.23704437420561295,
-0.36147363198884425,
0.07668172061107403,
0.05424147455893963,
0.18792758690886313,
-0.12479743597553... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 14 |
-8103220920717917465 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [0, 1], [2, 4], [1, 5], [0, 6]]} | {"states": [70, 90], "expectation_value": -2.2191423124885197, "params": null, "bitstrings": ["0111001", "0100101"], "total_optimization_steps": 51, "probabilities": [0.052063601619959925, 0.7254796052825258], "optimization_time": 46.65211844444275} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["0111001", "1011010", "0100101", "1000110"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.09013907920832127) q[1];
h q[2];
h q[3];
h q[4];
ry(-0.09013907920832127) q[4];
cx q[3], q[4];
ry(0.09013907920832127) q[4];
cx q[3], q[4];
ry(-0.32828417538533905) q[4];
cx q[2], q[4];
ry(0.32828417538533905) q[4];
cx q[2], q[4];
ry(0.530772193397... | 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[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIZZIII",
"IIIIIZZ",
"IIZIZII",
"IZIIIZI",
"ZIIIIIZ",
"IIZIIII",
"IIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.973179 | [
-0.18027815841664255,
1.5150462185668154,
-0.706414470203178,
1.6501033922076924,
-1.1808454514785505,
0.3193661164071389,
0.012155438351387049,
-0.6565683507706781,
1.0615443867941243,
0.636940108108955,
-0.702052203732011,
-0.2557668350299917,
-1.0088176010217886,
0.12634687828483052,
... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 26 |
a3a1ede6c1588ccbe2b203bec8f93c99 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2514, 2386], "expectation_value": -105.9016998442323, "params": [-0.0022, 0.6245, 1.2032, 0.059300000000000005, 0.42500000000000004, 0.637, -0.0024000000000000002, 0.8091, 1.208, 0.0117, 0.7709, -0.2726, 1.1945000000000001, -0.0867, 0.7112, 0.5365, 1.2066000000000001, 0.366, 0.0026000000000000003, 0.8198000... | 8.5 * (Z(1) @ Z(2)) + 8.5 * (Z(0) @ Z(6)) + 8.5 * (Z(4) @ Z(6)) + 8.5 * (Z(3) @ Z(4)) + 8.5 * (Z(5) @ Z(6)) + 8.5 * (Z(5) @ Z(4)) + 8.5 * (Z(8) @ Z(2)) + 8.5 * (Z(7) @ Z(1)) + 8.5 * (Z(7) @ Z(8)) + 8.5 * (Z(11) @ Z(5)) + 8.5 * (Z(12) @ Z(11)) + 0.5 * Z(2) + 7.0 * Z(1) + 15.5 * Z(6) + -5.5 * Z(0) + 15.0 * Z(4) + -8.0 * ... | 16 | 13 | 2 | {"smallest_eigenvalues": [-155.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -138.0, "smallest_bitstrings": ["1011010101101"], "largest_eigenvalue": 163.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.09577726388775751) q[0];
rz(0.4080263464433269) q[0];
rx(1.3325199346140013) q[1];
rz(-0.2715425497949696) q[1];
cx q[1], q[0];
rz(-0.018008760985731464) q[0];
cx q[1], q[0];
rx(0.09577726388775752) q[0];
rz(-0.24474838635657692) q[0];
rz(0.21371537352562014) 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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZI",
"IIIIIIZIIIIIZ",
"IIIIIIZIZIIII",
"IIIIIIIIZZIII",
"IIIIIIZZIIIII",
"IIIIIIIZZIIII",
"IIIIZIIIIIZII",
"IIIIIZIIIIIZI",
"IIIIZZIIIIIII",
"IZIIIIIZIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIIZII",
"IIIIIIIIIIIZI",
"IIIIIIZIIIIII",
"IIIIIIIIIIIIZ",
"IIIIIIIIZIIII",
"IIIIIIIIIZI... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
0.5,
7,
15.5,
-5.5,
15,
-8,
9,
6.5,
4.5,
5.5,
-5,
-12.5,
-12
] | 0.970034 | [
0.09577726388775751,
0.3900175854575954,
1.3325199346140013,
-0.2715425497949696,
0.03663187838248156,
0.6551540770083686,
0.033004285571075584,
0.663572308808395,
1.322038461684583,
0.07151031713521933,
0.22393419077611815,
-0.34207049169481885,
1.4933199757523115,
-0.041288820882221466,
... | {
"n_parameters": 70,
"n_qubits": 13,
"optimal_eigenvalue": -155,
"target_ratio": 0.97,
"target_value": -150.35
} | 17 |
b5518f36afa4dbdb0f95543c602afa47 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 1, "source": 2, "target": 3}, {"weight": 18, "source": 2, "target": 6}, {"weight": 17, "source": 2, "targ... | {"states": [366, 110], "expectation_value": -11.671466982746454, "params": [[-0.016300000000000002, 0.040100000000000004], [0.011300000000000001, -0.0536]], "bitstrings": ["010010001", "110010001"], "total_optimization_steps": 10, "probabilities": [0.0032246995170109234, 0.003513341158046296], "optimization_time": 7.49... | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["110010001"], "largest_eigenvalue": 194.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.286325205538855) q[0];
ry(0.1953118769536368) q[0];
rz(-2.3052829769044867) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.04979024122263945) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.04979024122263945) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.04979024122263945)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
0.5,
22.5,
11.5,
21,
21,
11,
9.5,
-7.5
] | 0.970367 | [
0.04979024122263945,
-1.2395641058626865,
1.6072661776984662,
-1.2975643784720312,
0.8841029895329524,
-1.446418733116507,
-1.4355238644249626,
1.3859267980444265,
1.189824641938442,
1.5301831548502773,
0.2543065660981385,
1.5984645142055647,
-1.0908269470905945,
1.456728143422818,
0.875... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -97,
"target_ratio": 0.97,
"target_value": -94.09
} | 65 |
9c3f86affe867d86b1a933450f0ead98 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [2, 1], "expectation_value": -9.134829720899567, "params": [[0.0572], [-0.0813]], "bitstrings": ["111101", "111110"], "total_optimization_steps": 10, "probabilities": [0.02460944547873325, 0.026113530705297996], "optimization_time": 2.457714080810547} | 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 | 6 | 1 | {"smallest_eigenvalues": [-40.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.25, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 119.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08159444532943627) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08159444532943627) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.08159444532943627) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.08159444532943627) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
-13,
-13,
-13.25,
-13,
-13,
-12.25
] | 0.972546 | [
0.08159444532943627,
0.316411072313747,
1.4274685730664627,
1.5697177918156073,
0.6556767612910719,
0.5389446975291273,
-0.02784567768025009,
-0.5301187784688065,
0.4226894690015448,
0.20765044488818968,
-0.5369605142119381,
0.8276321080557579,
-0.20067121769985835,
0.021804244236934816,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -40.25,
"target_ratio": 0.97,
"target_value": -39.0425
} | 59 |
589a81c8fd04d28f25b3e8e25563f55c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 3, "source": 3, ... | {"states": [128, 127], "expectation_value": -1.0262572607075526, "params": [[0.07440000000000001, 0.0673, 0.051300000000000005], [-0.0816, -0.0699, -0.0543]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007859382172743847, 0.008596822327130653], "optimization_time": 3.665... | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * Z(7) + -0.25 * Z(0) + 0.0 * Z(4) + -0.25 * Z(1) + 1.25 * Z(3) + -1.25 * Z(2) + -0.5 * Z(6) + 1.25 * Z(5) | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5130369850171268) q[0];
h q[1];
ry(0.6921837006580918) q[1];
ry(-2.9297706304665203) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4827454569868557) q[3];
h q[4];
ry(0.7494136005938985) q[4];
h q[5];
ry(0.7413727284934278) q[5];
cx q[3], q[5];
ry(-0.7413727284934278) 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": []} | [
"ZIIIIIIZ",
"IIIZIIZI",
"IIIIZIZI",
"IIIIZZII",
"ZZIIIIII",
"IZIZIIII",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII"
] | [
0.25,
-0.5,
-0.75,
-1,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
0,
-0.25,
1.25,
-1.25,
-0.5,
1.25
] | 0.987277 | [
1.4827454569868557,
1.3843674013161835,
1.498827201187797,
1.4332589832961582,
-1.0260739700342536,
1.4650064478335973,
-0.45148341590726787,
0.1454629789395838,
0.03571598507532223,
0.17021348520364954,
0.09444752324091105,
-0.05078619528911972,
0.03558495876298554,
0.0021142938081167356,... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
b993a5a7e57c18bd4205eb03339dcbdb | max_flow | 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": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [355, 487], "expectation_value": -5.72904216151849, "params": [[0.2581], [-0.27540000000000003]], "bitstrings": ["111010011100", "111000011000"], "total_optimization_steps": 30, "probabilities": [0.0023148481506810293, 0.0023148481506810297], "optimization_time": 6.331066131591797} | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"], "largest_eigenvalue": 29.666666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(-0.7539683417504123) q[0];
h q[1];
ry(-0.7849190935755255) q[1];
ry(-0.5117930615902674) q[2];
rz(-pi) q[2];
h q[3];
ry(0.8027330867228042) q[3];
h q[4];
h q[5];
ry(0.6610369723445622) q[5];
h q[6];
ry(1.6427196587087884) q[6];
cx q[6], q[3];
ry(-0.802733086... | 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[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIIIZZIII",
"IZZIIIIIIIII",
"IZIIIIIIZIII",
"IZIIIIIZIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIZIII",
"ZIIIIIIZIIII",
"ZZIIIIIIIIII",
"IIIIIIZII... | [
0.5,
0.5,
1,
-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,
1,
-0.5,
-0.5,
-0.5,
-0.5,
0.33333333333333337,
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,
-1.5,
2.5,
2.5,
-1.333333333333333,
-1.... | 0.994326 | [
1.6427196587087884,
-1.569838187151051,
1.428071510041552,
1.6054661734456084,
-1.5079366835008245,
-1.479467181204076,
1.0509882011382135,
1.3220739446891243,
-1.3407671105792736,
-0.8743627779952217,
-0.15137910993803103,
-0.36928097441881536,
-0.04643846630258572,
0.18962590822056274,
... | {
"n_parameters": 36,
"n_qubits": 12,
"optimal_eigenvalue": -9.999999999999998,
"target_ratio": 0.97,
"target_value": -9.699999999999998
} | 1 |
ae38f088eb7d13f4a1aaeed7b82ca76a | 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": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5... | {"states": [19, 1], "expectation_value": -15.28160671909044, "params": null, "bitstrings": ["1101100", "1111110"], "total_optimization_steps": 28, "probabilities": [0.1492731531067702, 0.8377857041610112], "optimization_time": 25.074562072753906} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -1.25 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(6) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.006377179496119643) q[0];
rz(-0.061727897011168764) q[0];
rx(0.07989972346595989) q[1];
rz(0.6688407505745477) q[1];
rx(-0.16796998349578554) q[2];
rz(-0.07201860300141405) q[2];
rx(-0.1915935582937144) q[3];
rz(-0.5729443126343039) q[3];
rx(-0.007459390818392585)... | 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(1.5708) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"IIIIZZI",
"IIIZIZI",
"IIZIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.75,
-1,
-1.25,
-1.75,
-0.5,
-0.5,
-1.75,
-1.25,
-1.75,
-0.5,
-0.25,
2.5,
-0.75,
1.25,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
1.5
] | 0.974333 | [
-0.006377179496119642,
0.1957621554646426,
0.07989972346595989,
0.4359881860868983,
-0.1679699834957855,
-0.38497263604562815,
-0.19159355829371438,
-0.39383051225245713,
-0.007459390818392586,
0.49935880698787366,
0.050047209993752936,
0.22941381389651128,
0.9696121434380058,
0.0608901470... | {
"n_parameters": 55,
"n_qubits": 7,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 5 |
12625ff7963f220cedd44f15c6035b49 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 4, "so... | {"states": [1764, 1765], "expectation_value": -17.64708481146184, "params": [0.0027, 0.9800000000000001, 0.0026000000000000003, 0.9164, 1.1094000000000002, 1.0376, 1.3842, 0.392, -0.0196, 0.9356000000000001, 1.3965, 0.007200000000000001, 1.4023, -0.0019, 1.3913, 0.0079, 0.0024000000000000002, 0.9515, 0.0021000000000000... | -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 *... | 18 | 13 | 2 | {"smallest_eigenvalues": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -18.75, "smallest_bitstrings": ["1110000010010", "1110000001101", "1110000001010", "1100100011010", "1100100011101", "1101000011010", "1101000011101", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(0.0337115844172802) q[5];
cx q[6], q[5];
h q[7];
cx q[6], q[7];
rz(0.018414539975709646) q[7];
cx q[6], q[7];
cx q[5], q[7];
rz(-2.0778790141223) q[6];
rx(1.332290205529361) q[6];
rz(0.0337115844... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIZIIIIIZII",
"IIIIIIIIIZZII",
"IIIIZIIIIZIII",
"IIIIIIIIZIZII",
"IIIIZIIIZIIII",
"IIIIIIIIZZIII",
"IIIZIIIIIIZII",
"IIIZZIIIIIIII",
"IIIZIIIIIZIII",
"IIIZIIIIZIIII",
"IIIIIIZZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIZIIIII",
"IIIIIIIIIIZIZ",
"IIIIZIIIIIIIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZII... | [
-1,
2,
-2,
2,
-2,
4,
-1,
1,
-2,
-2,
1,
2,
1,
0.5,
-0.5,
1,
1,
-0.5,
0.5,
-0.5,
1,
1,
-0.5,
0.25,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
-1,
1,
-2,
-2,
1,
-1,
-1,
1,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
0.5,
1,
2,
-2,
4,
... | 0.934646 | [
-0.017945495095570838,
0.018414539975709646,
-0.01256029963426791,
-0.822997322774261,
0.0337115844172802,
0.09403212308213957,
-0.049568322743649015,
-0.09733760106877386,
-2.0778790141223,
-0.6586234365540318,
1.117303174346778,
1.332290205529361,
0.16829227678709818,
-0.1470933503730152... | {
"n_parameters": 34,
"n_qubits": 13,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 500 |
4ff6cd3ae35a7505dd00eb5f37bcfa52 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}], "edges": [{"weight": 2, "source": 0, "target": 3}, {"weight": 8, "... | {"states": [29, 93], "expectation_value": -34.313936543477794, "params": null, "bitstrings": ["11100010", "10100010"], "total_optimization_steps": 100, "probabilities": [0.1091240078813684, 0.22009271386072485], "optimization_time": 167.66089415550232} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(4)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + -3.0 * Z(0) + 15.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.09219022397749128) q[0];
cx q[1], q[0];
rz(-1.2871422316693653) q[0];
rx(0.10379619859919222) q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.09219022397749128) q[4];
cx q[1], q[4];
cx q[1], q[2];
rz(0.09219022397749128) q[2];
cx q[... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(7.7632) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIIIZZI",
"IIIZIZII",
"IIIIZIZI",
"IIIZZIII",
"IIIIZZII",
"IIZIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
-3,
15,
12,
17,
12.5,
5,
11.5
] | 0.979572 | [
0.09219022397749128,
0.8982429000207126,
-1.2871422316693646,
0.24599877936251585,
-0.9798884543189016,
0.6694199466030656,
0.8683968766675187,
-0.3547308698519625,
0.9369223338993231,
0.10379619859919209,
-0.08770470281201148,
0.5841101200094906,
-0.6227792457430795,
1.1403942607354456,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 37 |
5b1b8be5e968ea2e2c88472859e2d934 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 10}, {"capacity": 5, "source": 0, "target": 11}, {"capacity": 1, "source"... | {"states": [0, 2047], "expectation_value": -18.587842258944256, "params": [[[0.004200000000000001, -0.5413], [-0.0029000000000000002, 0.00030000000000000003], [-0.0032, -0.0022], [-0.0031000000000000003, 0.0021000000000000003], [-0.0033, -0.0022], [-0.0026000000000000003, 0.002], [-0.0022, -0.0025], [-0.0028, -0.003], ... | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(2)) + 0.75 * (Z(3) @ Z(0)) + -1.5 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(3)) + -0.25 * (Z(1) @ Z(7)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(1)) + -1.0 * (Z(9) @ Z(3)) + -0.75 * (Z(9) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(9)) + -1.0 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ ... | 15 | 12 | 2 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.25, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 32.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.12979768535035865) q[0];
ry(-0.005159215432228456) q[1];
ry(0.045359759450975826) q[2];
ry(0.017015341713928822) q[3];
ry(-0.034501380695975525) q[4];
ry(0.18337295216062818) q[5];
ry(-0.1957496682117164) q[6];
ry(0.15682832767453742) q[7];
ry(-0.2394921201247145... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIZIIIIZII",
"IIIIZIIIZIII",
"IIIIZIIIIIZI",
"IIIZIIIIZIII",
"IIIZIIIIIIZI",
"IIZIIIIIZIII",
"IIZIIIIIIIZI",
"IIIIIIIZIIZI",
"IIZIIIIZIIII",
"IIIIIIZIIZII",
"IIZIIIZIIIII",
"IIIIIIZZIIII",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IZIIIIIII... | [
-0.5,
-1.25,
0.75,
-1.5,
-1.25,
-0.25,
-0.75,
-0.25,
-1,
-0.75,
-0.5,
-0.5,
-1,
-0.5,
-1.5,
-0.25,
-1,
-0.5,
-1,
-1,
-1.5,
-0.75,
-1.5,
3.75,
-0.25,
-5.5,
-2,
0.75,
0.5,
0.25,
1.5,
-3,
-0.25,
2,
2.25
] | 0.970049 | [
-0.12979768535035865,
-0.005159215432228456,
0.045359759450975826,
0.017015341713928822,
-0.034501380695975525,
0.18337295216062818,
-0.1957496682117164,
0.15682832767453742,
-0.23949212012471457,
0.005027699293024372,
-1.1284665703303074,
-0.16059897981806692,
-0.013014334539601782,
0.022... | {
"n_parameters": 55,
"n_qubits": 12,
"optimal_eigenvalue": -19.25,
"target_ratio": 0.97,
"target_value": -18.6725
} | 58 |
aff16494716409c93ae0c6b924acb428 | 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": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 7, "source": 1, "target": 2... | {"states": [9, 1], "expectation_value": -16.028299188387976, "params": null, "bitstrings": ["1110110", "1111110"], "total_optimization_steps": 26, "probabilities": [0.0842399858326309, 0.8771664858399296], "optimization_time": 20.61137557029724} | -1.5 * (Z(0) @ Z(3)) + -1.25 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -2.25 * Z(3) + -0.25 * Z(0) + 0.75 * Z(5) + 3.0 * Z(6) + 1.25 * Z(1) + -2.5 * Z(2) + 0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.17213197499966565) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(0.07476442289212104) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.47901700998870134) q[4];
cx q[3], q[4];
rz(0.3504210231928404) q[3];
rx(0.01985686519069... | 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(1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIZZII",
"IZIIZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-1.5,
-1.25,
3,
-0.25,
-0.25,
-0.5,
-2,
-0.5,
-1.25,
-0.75,
-2.25,
-0.25,
0.75,
3,
1.25,
-2.5,
0
] | 0.970352 | [
-0.17213197499966565,
-0.00464843643423988,
0.009698808451135995,
0.07476442289212104,
-0.47901700998870134,
0.02577905338994005,
-0.24727051080343204,
0.3504210231928386,
0.3119955203211965,
-0.8454856564029164,
0.2802866890985153,
-0.36926583491198095,
0.01985686519069632,
0.143665584847... | {
"n_parameters": 46,
"n_qubits": 7,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 130 |
-6439289798540471241 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 4], [9, 2, 5, 1], [0, 2, 3], [0, 2, 4, 6], [9, 2, 4], [8, 9, 2, 3], [8, 0, 7], [8, 2, 6], [0, 2, 5], [8, 0, 6]]} | {"states": [643, 899], "expectation_value": -2.9680653277194433, "params": [1.5748, 1.5726, 0.9608000000000001, 0.9012, 2.2523, 0.926, -0.09580000000000001, 0.1263, 0.0645, -0.0699, 0.0005, 0.0061, 0.4626, 0.4736, -0.023200000000000002, 0.0097, 1.087, 2.1359, 1.5211000000000001, 1.5616, 0.4893, 0.528, 0.0149, 0.2388, 1... | 0.5 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(9) @ Z(4)) + 0.08333333333333333 * (Z(9) @ Z(8)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(8)) + 0.3333333333333333 * (Z(2) @ Z(9)) + 0.08333333333333333 * (Z(5) @ Z(9)) + 0.25 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(9)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.1666666666666674], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0833333333333344, "smallest_bitstrings": ["0001111100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.4604252720319264) q[0];
rz(pi/2) q[0];
ry(1.01546954718562) q[1];
ry(2.3517817059980586) q[2];
ry(-0.061148830157334605) q[3];
ry(0.01093879674225309) q[4];
ry(0.1728673453608892) q[5];
ry(0.032753876675187664) q[6];
ry(0.10092147181051739) q[7];
ry(1.207291896583... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IZIIIZIIII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"IIIIIZIZII",
"IZIIIIIZII",
"ZIIIIIIZII",
"ZIIIZIIIII",
"IIIIZIIZII",
"ZIIIIIIIZI",
"IIIIIIIZZI",
"IIIIZIIIZI",
"IIIIIZIIIZ",
"IZIIIIIIIZ",
"IIIIIIIZIZ",
"IIIIZIIIIZ",
"IZIIIIZIII",
"ZIIIIIZIII",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIZIZIIII"... | [
0.5,
0.16666666666666666,
0.08333333333333333,
0.25,
0.25,
0.3333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.41666666666666663,
0.16666666666666666,
0.08333333333333333,
0.083333333... | 0.970258 | [
1.4604252720319264,
1.01546954718562,
2.3517817059980586,
-0.061148830157334605,
0.01093879674225309,
0.1728673453608892,
0.032753876675187664,
0.10092147181051739,
1.207291896583628,
1.5532368516148218,
0.4202452972925531,
1.4692985681071362,
1.6198821348878443,
0.11975192897880696,
1.8... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -3.1666666666666674,
"target_ratio": 0.97,
"target_value": -3.071666666666667
} | 12 |
7998604051731201131 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 11, 6, 7], [4, 7], [11, 5, 7], [9, 5], [1, 10, 11], [9, 4], [3, 11, 6], [11, 1, 3, 5], [8, 1, 10, 4], [2, 7], [8, 5, 6, 7], [8, 9, 3, 6], [0, 2, 4, 6], [0, 11, 5, 6], [0, 8, 4, 5], [0, 9, 11, 6], [3, 7], [8, 1, 6, 7], [1, 2, 10], [8, 2], [8, 1, 3], [1... | {"states": [2938, 890], "expectation_value": -6.728003080625447, "params": [1.5190000000000001, 0.0077, 0.6643, 0.0092, 3.1446, 0.0098, 2.7846, 0.0016, -0.0021000000000000003, 0.0098, 3.1445000000000003, 0.0061, 2.7547, 0.0047, 3.1445000000000003, 0.001, 3.1445000000000003, 0.0005, 0.0025, 0.0068000000000000005, 3.1446... | 0.16666666666666666 * (Z(11) @ Z(3)) + 0.41666666666666663 * (Z(8) @ Z(3)) + 0.49999999999999994 * (Z(8) @ Z(11)) + 0.25 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(11)) + 0.49999999999999994 * (Z(9) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(11)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.5 *... | 16 | 12 | 1 | {"smallest_eigenvalues": [-7.166666666666663], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.833333333333331, "smallest_bitstrings": ["110010000101"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.076984476132248) q[0];
rz(-0.0044825505473813365) q[0];
rx(0.24969004797503527) q[1];
rz(-0.25121642630906904) q[1];
cx q[1], q[0];
rz(-0.07469042944148171) q[0];
cx q[1], q[0];
rz(0.02138655436677422) q[1];
rx(3.0642883964558623) q[2];
rz(0.15544318400788004) 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": []} | [
"ZIIIIIIIZIII",
"IIIZIIIIZIII",
"ZIIZIIIIIIII",
"IIZIIIIIZIII",
"ZIZIIIIIIIII",
"IIZZIIIIIIII",
"IIIIIZIIZIII",
"ZIIIIZIIIIII",
"IIIZIZIIIIII",
"IIZIIZIIIIII",
"IIIIZIIIZIII",
"ZIIIZIIIIIII",
"IIIZZIIIIIII",
"IIZIZIIIIIII",
"IIIIZZIIIIII",
"IIIIIIIIZIZI",
"IIIZIIIIIIZI",
"IIZIIIIII... | [
0.16666666666666666,
0.41666666666666663,
0.49999999999999994,
0.25,
0.16666666666666666,
0.49999999999999994,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.25,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333... | 0.971137 | [
1.076984476132248,
-0.07917297998886319,
0.24969004797503527,
-0.25121642630906904,
3.0642883964558623,
0.09453937179653976,
2.903271934179289,
-0.10078762064228022,
0.12520368278568442,
3.0931532456507562,
-0.09888295308482975,
2.9271814460443037,
0.04277310873354844,
0.2558631011583958,
... | {
"n_parameters": 28,
"n_qubits": 12,
"optimal_eigenvalue": -7.166666666666663,
"target_ratio": 0.97,
"target_value": -6.9516666666666636
} | 7 |
e0516bb518ee285d23a8010370ebd407 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [96, 108], "expectation_value": -6.499934083914853, "params": null, "bitstrings": ["0011111", "0010011"], "total_optimization_steps": 35, "probabilities": [1.3834362571562368e-05, 0.9999481823871559], "optimization_time": 33.593350410461426} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(5) + -1.5 * Z(6) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0010011"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.04328000785297783) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.04328000785297783) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.04328000785297783) q[5];
cx q[0], q[5];
h q[6];
cx q[2], q[6];
rz(0.04328000785297... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIIIZZI",
"ZIIIIZI",
"IIIZZII",
"IZIZIII",
"ZIIZIII",
"IIZIZII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1,
-1.5,
-1.5,
-0.5,
-1,
-0.5
] | 0.980511 | [
0.04328000785297783,
-1.455649869643561,
1.4052522464945618,
-1.5874463397838816,
1.6147429593034577,
-1.4666268071066326
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 28 |
e2a1dd8d1e083192a6b4cbfd3d9c358e | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [78, 76], "expectation_value": -2.289572674308328, "params": [[[0.6093000000000001, -0.0034000000000000002], [0.1539, 0.2318], [0.0017000000000000001, 0.44320000000000004], [0.5476, -0.0057], [0.6044, 0.002], [0.5145000000000001, -0.0332], [0.0038, 0.37510000000000004]], [[0.6065, -0.0035], [0.1565, 0.2318],... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(4) @ Z(2)) + -0.125 * (Z(0) @ Z(4) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(4) @ Z(2... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["0110011", "0111001"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(2.561127667182971) q[0];
ry(3.0195808714253123) q[0];
rz(-0.4520108398180862) q[0];
rz(1.7445075787898734) q[1];
ry(0.11574428247104591) q[1];
rz(-1.3436041184858614) q[1];
rz(-2.2531635464792834) q[2];
ry(0.037223626689449285) q[2];
rz(-2.7063584668997773) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIIZZII",
"IIZIZII",
"IIZZIII",
"IIIZZIZ",
"IIZIZIZ",
"IIZZIIZ",
"IIZZZII",
"IIZZZIZ",
"IZIZIII",
"ZZIIIII",
"IIZIIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
-0.125,
-0.5,
-0.625,
-0.125,
-0.125,
-0.5,
-1
] | 0.974239 | [
1.4488290548844476,
-0.015782899398086414,
-0.15977208976832585,
0.41519064662032595,
-0.23497257928300502,
0.8055126599094278,
1.2553479660937912,
0.13199639482680087,
0.8906888029167648,
0.015318618946984969,
-0.17372367290419877,
-0.25290279496706136,
-0.11046954972514925,
-0.2301598033... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 18 |
0d4975981166b2874d2e3fb8df49ba97 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [246, 214], "expectation_value": -74.26411687454824, "params": [0.0344, 0.37870000000000004, 0.7943, 0.0009000000000000001, 0.7943, 0.08410000000000001, 0.3427, 0.2462, 0.7851, 0.11950000000000001, 0.1885, 0.3123, 0.7899, -0.0041, 0.7912, 0.16620000000000001, 0.1814, 0.3527, 0.0297, 0.38170000000000004, 0.79... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 14.0 * Z(1) + 0.5 * Z(0) + 18.5 * Z(4) + 13.5 * Z(2) + 7... | 18 | 9 | 4 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.162757405416695) q[0];
ry(-2.0563557565526267) q[1];
rz(-pi) q[1];
h q[2];
ry(64.29142043296271) q[2];
cx q[2], q[1];
ry(0.09694622257236636) q[1];
cx q[2], q[1];
ry(9.39298353706952) q[2];
cx q[1], q[2];
ry(-9.39298353706952) q[2];
cx q[1], q[2];
ry(0.173... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"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,
14,
0.5,
18.5,
13.5,
7.5,
5,
7.5,
2.5,
7
] | 0.970603 | [
0.0532888134221188,
63.41435872412596,
64.29142043296271,
1.8613625272880303,
-0.19389244514473272,
18.78596707413904,
1.3280109631111439,
0.34751548818583144,
-0.22022091549443135,
-3.3690305503862925,
-0.10375331964482451,
-0.007905693228739755,
-0.2950197673207729,
0.8827595868957637,
... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -81,
"target_ratio": 0.97,
"target_value": -78.57
} | 113 |
7e799239f8573f120a2c5e15cda2e88f | 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": 2, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [24502, 22454], "expectation_value": -6.155575256516435, "params": [[[3.1459, 0.0055000000000000005], [1.0731, 0.0059], [3.1473, 0.0041], [1.512, 0.0027], [3.1398, 0.004], [3.14, 0.0051], [2.5222, 0.0037], [3.1384000000000003, 0.007500000000000001], [1.3061, 0.0092], [3.1454, 0.0005], [2.2721, 0.004500000000... | 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 | 15 | 1 | {"smallest_eigenvalues": [-7.99999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.999999999999974, "smallest_bitstrings": ["010100001001001"], "largest_eigenvalue": 24.0000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.013661432647873829) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.47799463725369296) q[1];
h q[2];
ry(1.609883237122917) q[2];
h q[3];
ry(1.609883237122917) q[3];
h q[4];
cx q[4], q[1];
ry(0.47799463725369296) q[1];
cx q[4], q[1];
ry(-0.6440649203767641) q[1];
ry(0.9857223264... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIIIIIIIZIIZIII",
"IIIIIIIZIIZIIII",
"IIIIIIIIIIZZIII",
"IIIIIIZIIZIIIII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1,
1,
1,
1.25,
1.25,
1.25,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75
] | 0.994711 | [
-1.5961244559276881,
1.609883237122917,
-0.9559892745073859,
0.7778346010594781,
-0.4321667361998622,
0.4157754507244771,
-0.42379636835380385,
0.245207488748664,
-0.0379388834944252,
0.03472662903914467,
0.0730459640739915,
0.07797912356133081,
-0.0856693429277921
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 1 |
885062aa0c1a31cf5a193f1a32bffef7 | 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": 4}, ... | {"states": [40, 22], "expectation_value": -2.6247718801942987, "params": [[-0.0613, -0.06620000000000001, -0.07250000000000001, -0.08510000000000001], [0.07200000000000001, 0.0711, 0.0711, 0.0772]], "bitstrings": ["1010111", "1101001"], "total_optimization_steps": 10, "probabilities": [0.021541298226766196, 0.025602713... | 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(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1101001"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.021072593850822063) q[0];
rz(0.2765857801497469) q[0];
rx(0.16950039477152695) q[1];
rz(0.0695790676876844) q[1];
rx(2.5687485906629814) q[2];
rz(-0.5370194150143539) q[2];
rx(0.197336122499063) q[3];
rz(0.1788281523420414) q[3];
rx(2.8557809246288337) q[4];
rz(0.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IZIIIZI",
"ZIIIIZI",
"ZIIIZII",
"ZIZIIII",
"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,
0.5,
0.5,
-2,
-1.5,
-1.5,
-1,
-1.5,
-0.5,
-1.5
] | 0.970975 | [
0.021072593850822063,
0.2191158966212049,
0.16950039477152695,
-0.24923337257882106,
2.5687485906629814,
-0.5190896520238735,
0.19733612249906302,
0.19794826629618956,
2.8557809246288337,
-0.09660850004403976,
3.1276761766022516,
-0.11637809025585549,
-0.10041881598941219,
0.15828056727644... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 16 |
eba59f50c284ea491834da7e16fa8fc7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [37, 197], "expectation_value": -2.3794095308376977, "params": [0.49920000000000003, -0.0028, 0.4338, 0.0036000000000000003, 0.4939, 0.0067, 0.28550000000000003, 0.0196, 0.49770000000000003, -0.0001, 0.505, -0.0022, 0.27540000000000003, -0.0455, 0.5, 0.0089, 0.4988, -0.0025, 0.4304, 0.0022, 0.4827, 0.0035, 0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(7) + -0.5 * Z(4) + 0.0 * Z(5) | 4 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["00110110", "11001001", "00111010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.38052690791396165) q[0];
rz(0.12876224261210822) q[0];
rx(0.4129431632583738) q[1];
rz(-0.06465084134299584) q[1];
cx q[1], q[0];
rz(-0.16858860617837823) q[0];
cx q[1], q[0];
rz(1.5592973732717885) q[0];
ry(0.7000341781004477) q[0];
rz(-1.6857574732511131) q[0];
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": []} | [
"IIIIZIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"IZIIIIZI",
"IIIIIZZI",
"ZZIIIIII",
"ZIIIIZII",
"IIIZZIII",
"IIZZIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-0.5,
-0.5,
-0.5,
0
] | 0.971281 | [
0.3805269079139617,
-0.039826363566269986,
0.4129431632583738,
-0.06465084134299584,
0.0026392553186233812,
0.17111628982817592,
0.16301495096394006,
0.10067041393419487,
0.02266213442633431,
0.1936882971656938,
0.45767754317687187,
0.07251452325467028,
-0.001591014420485962,
0.27170146128... | {
"n_parameters": 144,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 3 |
473775bc8d8b4cca680d00f7b64c1aa1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [373, 501], "expectation_value": -0.19862019217729587, "params": [1.2979, 0.004200000000000001, 1.6393, 0.0085, 1.6044, 0.009600000000000001, 1.7021000000000002, 0.0036000000000000003, 1.6978, 0.0019, 1.7028, 0.009300000000000001, 1.3241, 0.0095, 1.7095, 0.0045000000000000005, 1.4761, 0.0023, 1.7060000000000... | 0.5 * (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(0) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0)... | 18 | 10 | 1 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["1000001010", "0110000010"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022388232708840404) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022388232708840404) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022388232708840404) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.022388232708840404) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIZIIZII",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIIZZIZ",
"IIIIIZIZIZ",
"IIIIZIIZIZ",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIIZZIIIZ",
"IIIIIZZZII",
"IIIIZIZZII",
"IIIIZZIZII"... | [
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.25,
0.25,
0.25,
-0.25,
... | 0.970792 | [
0.022388232708840404,
-0.16546972504389865,
1.387189998889542,
1.1317721305414625,
-1.0291416278486831,
1.3553919116902904,
-0.24772195907827305,
-0.6852193775874179,
1.0091668921719015,
0.9126657422045303,
0.15550491965267638,
0.23151516878776346
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 42 |
8abcecb9be692ba9d31a27398366ffa4 | 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": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [0, 1], "expectation_value": -7.632997161509947, "params": [[[0.0033, 0.0061], [0.0025, 0.003], [0.0023, 0.0029000000000000002], [0.0023, 0.0043], [0.0022, 0.003], [0.0023, 0.0059], [1.6088, 0.006500000000000001]]], "bitstrings": ["1111111", "1111110"], "total_optimization_steps": 160, "probabilities": [0.48... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @... | 1 | 7 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5490827494225263) q[0];
rz(-pi) q[1];
ry(-0.28233305796915187) q[1];
h q[2];
ry(-1.5490827494225263) q[2];
h q[3];
ry(-1.5490827494225263) q[3];
h q[4];
ry(-1.5490827494225263) q[4];
h q[5];
ry(-1.5490827494225263) q[5];
h q[6];
ry(1.5893740482243686) q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIIZ",
"IIZIZII",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
-0.75,
2,
-0.25,
0.75,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
1.75
] | 0.997733 | [
1.5893740482243686,
-1.5490827494225263,
-1.8450825844559562,
-0.01609360061618495
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 1 |
cccde4707d298ae394e20cc161e11586 | 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": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "s... | {"states": [1, 9], "expectation_value": -13.763232060664365, "params": [0.0021000000000000003, 0.7080000000000001, 0.0025, 1.1698, -0.0013000000000000002, 0.009000000000000001, 0.0027, 1.1782000000000001, 0.0029000000000000002, 1.1819, -0.7998000000000001, 0.0009000000000000001, 0.0027, 1.1691, 0.0027, 1.1807, 1.5861, ... | -0.5 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z... | 4 | 9 | 2 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["111110110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.05421342206995221) q[0];
rz(2.472793468584289) q[0];
rx(-0.09375759374281041) q[1];
rz(2.917477635073352) q[1];
rx(0.25161845486511375) q[2];
rz(1.5974753074152792) q[2];
rx(0.005844577706896247) q[3];
rz(2.6587657285286665) q[3];
rx(0.01727117515975269) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIIIIIZI",
"IIZIZIIII",
"IZZIIIIII",
"IIZIIIIZI",
"IIIIZIZII",
"IZIIIIZII",
"IIIIIIZZI",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"ZIIIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"... | [
-0.5,
-0.75,
-0.25,
-1,
-1,
-0.5,
-0.75,
-2,
-1,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
2.25,
-0.5,
-0.25,
-0.25,
-0.25,
0.5,
-0.25,
-1,
1.25,
-2.75,
0.25,
0.5,
0.5,
1
] | 0.970013 | [
-0.05421342206995221,
0.9019971417893926,
-0.0937575937428104,
1.3466813082784552,
0.25161845486511375,
0.02667898062038268,
0.005844577706896246,
1.0879694017337702,
0.01727117515975269,
1.0719536248129202,
-0.9736904409911167,
0.037313040150841414,
1.1827146526257986,
1.164820999137664,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 3 |
-188556801649056268 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 6], [1, 4, 6], [0, 7], [8, 1, 2, 6], [8, 4], [2, 5], [3, 6], [3, 4], [8, 7], [3, 7], [4, 7]]} | {"states": [425, 86], "expectation_value": -0.056845419329578276, "params": [[0.058100000000000006], [-0.0492]], "bitstrings": ["001010110", "110101001"], "total_optimization_steps": 10, "probabilities": [0.0021239606576863306, 0.0021317510232047037], "optimization_time": 2.467496395111084} | 0.5 * (Z(0) @ Z(6)) + 0.25 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(8) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(6))... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["110101001"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.624773952488678) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(0.34874234092809886) q[1];
cx q[6], q[1];
cx q[6], q[4];
rz(0.031766441651253814) q[4];
cx q[6], q[4];
cx q[1], q[4];
rz(0.031766441651253... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[0];
rz(x0) q[0];
... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IIZIIIIZI",
"IIZIZIIII",
"IIIIZIIZI",
"IZIIIIIIZ",
"IZIIZIIII",
"ZIZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZZIIIIIII",
"IIZIIIZII",
"IIIIIIZZI",
"ZIIIIIZII",
"IIIZIIZII",
"IIZIIZIII",
"IIIIZZIII",
"IZIIIZIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"... | [
0.5,
0.25,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.5,
0.29166666666666674,
0,
0.29166666666666663,
0.16666666666666674,
0,
0.124... | 0.448044 | [
0.624773952488678,
0.34874234092809886,
0.031766441651253814,
0.09483650467329006,
0.7089282088944683,
-0.28618394839430766,
0.45417315198706143,
-0.7401003507715498
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 178 |
2398b0b8852b758caa629303970b584b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [843, 859], "expectation_value": -2.5674334024690895, "params": [1.5807, 0.0078000000000000005, 1.3591, 0.405, 0.1716, 0.8161, 1.5859, 0.41590000000000005, 0.42010000000000003, 0.8188000000000001, 0.8417, 0.3105, 1.5809, 0.3166, -0.0046, 0.7887000000000001, 1.5812000000000002, -0.0016, 1.3403, 0.001300000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(3) @ Z(7)) + ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["0010100100", "1000010001", "0011000001", "0100010100"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.039254698902790326) q[0];
rz(pi/2) q[0];
ry(0.3648670593836806) q[1];
ry(0.3376361431186225) q[2];
ry(0.37423268336375176) q[3];
ry(0.5746655888699254) q[4];
ry(-0.09537820387184358) q[5];
ry(0.4618259931807873) q[6];
ry(0.43542575300609276) q[7];
ry(0.45015024645... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZZZIII",
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIIZIIZIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIZIIZIIZ",
"IIZIIIZIIZ",
"IIZZIIIIIZ",
"IIZZIIZIII",
"IIZZIIZIIZ",
"IIIIIZIIZI"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
... | 0.9724 | [
0.039254698902790326,
0.3648670593836806,
0.3376361431186225,
0.37423268336375176,
0.5746655888699254,
-0.09537820387184358,
0.4618259931807873,
0.43542575300609276,
0.45015024645460006,
0.02352608316433561,
0.3808695150484027,
-0.32131097767290606,
0.1267658218374237,
-0.03091676333232282... | {
"n_parameters": 152,
"n_qubits": 10,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 36 |
-5903830051335657599 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 6], [3, 7], [2, 3], [1, 3, 4], [3, 6], [0, 1, 3], [0, 5, 6], [1, 3, 5], [4, 5], [1, 2, 5], [0, 1, 6]]} | {"states": [231, 235], "expectation_value": -3.0505351943980954, "params": null, "bitstrings": ["00011000", "00010100"], "total_optimization_steps": 62, "probabilities": [0.06529836290381333, 0.7365945190667014], "optimization_time": 92.80721807479858} | 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.166... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334, -3.333333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["00010100", "10010100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.5764804491305426) q[0];
h q[1];
ry(1.1513366756084322) q[1];
h q[2];
ry(0.5225852204386415) q[2];
h q[3];
ry(-0.2863488853112691) q[3];
h q[4];
h q[5];
ry(-0.4551124711265876) q[5];
cx q[4], q[5];
ry(0.4551124711265876) q[5];
cx q[4], q[5];
ry(-0.3837166100... | 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(1.5592) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIZIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IIIZZIII",
"IIIIZIIZ",
"IZIIZIII",
"ZIIIZIII",
"IIIIZZII",
"IIIZIIZI",
"IIIIIIZZ",
"IZIIIIZI",
"IIIIZIZI",
"IIIIIZZI",
"IIZZIIII",
"IIZIIIIZ",
"IZZIIIII",
"IIZIZIII",
"IIZIIZII",
"IIZIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIZII... | [
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
... | 0.970331 | [
1.1513366756084322,
1.5764804491305426,
-0.5726977706225382,
1.5148769913597147,
-0.2010257835233621,
1.045170440877283,
1.344961364168834,
-0.591046516546527,
-0.9102249422531752,
0.6071013316188874,
-0.7674332201934873,
0.3650101599890121,
-0.6381251849643713,
0.30566644203048476,
0.22... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -3.333333333333334,
"target_ratio": 0.97,
"target_value": -3.233333333333334
} | 35 |
12ada348b9c11023d80d21b40d9fce6b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "so... | {"states": [15, 1], "expectation_value": -1.3529598995007102, "params": [[0.0728, 0.0695, 0.0682, 0.0603], [-0.07640000000000001, -0.06760000000000001, -0.0675, -0.0635]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.06515957168647382, 0.0746505665112486], "optimization_time": 3... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.5 * Z(4) + 1.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["11110", "11010"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.421275234044104) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.08975213145237756) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.2466738875561171) q[3];
cx q[0], q[3];
rz(-0.7548770243522678) q[3];
rx(-1.1727560892462083) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.5,
-1,
-0.25,
-0.5,
1,
-1,
-0.5,
-0.25,
-0.75,
0.5,
1
] | 0.970009 | [
-0.421275234044104,
-0.08975213145237756,
-0.2466738875561171,
0.2764818189504322,
-0.754877024352268,
-0.039697426295050006,
-1.1727560892462083,
-0.6047490633200694,
-0.04582608500570343,
-0.35589128305044065,
0.4950866191469228,
-0.3850968734273578,
1.0521907678224391,
-1.08956021545216... | {
"n_parameters": 28,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 132 |
8141295796942225981 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3], [0, 1, 2, 5], [1, 3, 5], [1, 2, 3, 7], [2, 6], [1, 5, 7], [8, 1, 6], [0, 5, 6, 7], [8, 0, 5], [1, 4, 7], [1, 6, 7], [0, 3], [1, 3, 4], [3, 5, 6, 7], [8, 2, 4, 7], [0, 4, 7], [8, 1, 5], [8, 1, 4]]} | {"states": [391, 451], "expectation_value": -0.3250664260249897, "params": [[0.0748], [-0.0816]], "bitstrings": ["001111000", "000111100"], "total_optimization_steps": 10, "probabilities": [0.0023010386710428255, 0.0023649330357465546], "optimization_time": 4.179405927658081} | 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.41666666666666663 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(8)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(8)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.833333333333331], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.416666666666667, "smallest_bitstrings": ["000111100"], "largest_eigenvalue": 16.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[8];
rz(-1.343274201063045e-07) q[8];
cx q[3], q[8];
cx q[3], q[0];
rz(-1.343274201063045e-07) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-1.9042455009265778e-08) q[1];
cx q[3], q[1];
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] 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] ... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZIII",
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"ZIIIIIIZI",
"IIIIIIIZZ",
"IIIIIZZII",
"ZIIIIIZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIZIZIII",
"ZIIZIIIII",
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IZIIIZIII",
"ZZIIIIIII",
"IZIIIIIIZ",
"IZIIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"... | [
0.5,
0.5,
0.16666666666666666,
0.41666666666666663,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.25,
0.3333333333333333,
0.3333333333333333,
0.5833333333333333,
0.08333333333333333,
0.16666666666666666,
0.083333333333... | 0.664928 | [
-1.343274201063045e-7,
-1.4854434029019065e-8,
-1.9042455009265778e-8,
1.126288482376873e-8,
-2.8857386179218423e-8,
-1.5817852926586833e-8,
-0.34419687605425564,
1.5707963448899145,
-1.5707963117179007,
1.570796466899029,
1.5707962318869377,
1.5707962994510454,
-1.570796403669773
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -4.833333333333331,
"target_ratio": 0.97,
"target_value": -4.688333333333331
} | 371 |
cd58673a4ab07f9a1050a15279b9ca9d | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [725, 981], "expectation_value": -1.6037456449400234, "params": [[0.4433, 1.0991, 0.8214, 1.099, 1.1013, 0.27990000000000004, 1.0716, 0.17550000000000002, 0.9327000000000001, 0.49450000000000005, 0.782], [0.2697, 0.3931, 0.0823, 0.2649, 0.159, 0.23600000000000002, 1.0934000000000001, 0.07780000000000001, 0.9... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(3) @ Z(7)) + 0.25 * (Z(4) @ Z(8))... | 10 | 11 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 28, "first_excited_energy": -2.125,... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.319392169422761) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.319392169422761) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(0.319392169422761) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.319392169422761) q[3];
cx q[4], 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIZZZIII",
"IIIIZIIZIII",
"IIIZIIIZIII",
"IIIZZIIIIII",
"IIIZZIIZIII",
"IIZIIIZIIII",
"IZIIIIZIIII",
"IZZIIIIIIII",
"IZZIIIZIIII",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIZIIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
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,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0,
0... | 0.625125 | [
0.319392169422761,
-1.0537101994007863,
-0.7268077540546146,
-0.9017745433686443
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 113 |
b6baad67864f2ddcbb0ef04d2a8f04ff | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [399, 143], "expectation_value": -59.68384069452312, "params": [0.4685, 0.29460000000000003, 0.8994000000000001, -0.0008, 0.0029000000000000002, -0.5853, 0.0034000000000000002, 0.4555, 0.078, 0.4083, 0.8942, 0.0061, 0.8984000000000001, -0.0002, 0.9036000000000001, 0.011300000000000001, 0.8971, 0.164, 0.4631,... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(2) @ Z(6)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(7) @ Z(8)) + 6.0 * (Z(4) @ Z(7)) + 5.5 * Z(1) + 7.0 * Z(0) + -2.5 * Z(3) + 13.5 * Z(5) + 8.0 * Z(6) + -5.5 * Z(2) + 15.5 * Z(8) + 9.0 * Z(7) + -1.0 * Z(4) | 18 | 9 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["101110000"], "largest_eigenvalue": 103.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.2933309083289678) q[0];
rz(0.4712901820939188) q[0];
rx(0.9277313463207489) q[1];
rz(0.12206891551122488) q[1];
rx(0.08181217928249501) q[2];
rz(-0.6230874411143144) q[2];
rx(-0.18403746722365788) q[3];
rz(0.3355731337602824) q[3];
rx(-0.07720395646609882) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIZIIIIZ",
"IIZZIIIII",
"IIZIIIZII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIZIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
5.5,
7,
-2.5,
13.5,
8,
-5.5,
15.5,
9,
-1
] | 0.977045 | [
0.2933309083289678,
0.22192888204112185,
0.9277313463207489,
0.12206891551122488,
0.08181217928249501,
-0.6230874411143144,
-0.18403746722365788,
0.3355731337602824,
-0.07720395646609882,
0.37957231890682075,
1.2470339149155112,
-0.03133266575085392,
0.848476215980806,
-0.01825485739059242... | {
"n_parameters": 73,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 8 |
d53bc6bd432bf4983d084051835cbd3e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capac... | {"states": [0, 1], "expectation_value": -19.12689569800542, "params": [-0.00030000000000000003, 0.1198, 0.0004, 0.12480000000000001, 0.0029000000000000002, 0.1713, -0.0007, 0.15710000000000002, 0.0009000000000000001, 0.15560000000000002, 0.0037, 0.1612, 0.0037, 0.1545, 0.004200000000000001, 0.1617, 0.1663, -0.000900000... | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.75 * (Z(8) @ Z(1)) + -1.25 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(7)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(8)) + -1.0 * (Z(9) @ Z(1)) + 3.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @... | 7 | 10 | 4 | {"smallest_eigenvalues": [-22.5, -22.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["1111011110", "1111111110"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.030749817030848964) q[0];
rz(0.21538979376135003) q[0];
rx(0.05867453631174802) q[1];
rz(0.3331691612562093) q[1];
cx q[1], q[0];
rz(0.056022003248748876) q[0];
cx q[1], q[0];
rz(-0.3225033086314686) q[0];
ry(0.055182333475569126) q[0];
rz(0.5973725958459539) 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... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIZIIIZI",
"IIIZZIIIII",
"IZIIZIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"IIIIZIIZII",
"ZIIIIIIZII",
"IIZIIIZIII",
"IZIIIIZIII",
"IIIIIIZZII",
"IIIIIZIIZI"... | [
-1.25,
-0.25,
-0.75,
-1,
-0.75,
-1.25,
-1.25,
-1,
-0.25,
-1,
-1.5,
-1,
3.75,
-0.5,
-1,
-0.5,
-0.5,
-1,
-1.5,
-0.75,
-1.25,
-1,
-1.5,
-0.25,
1,
-1.25,
-1.25,
-0.25,
1.75,
-0.25,
-1,
3
] | 0.972457 | [
-0.030749817030848964,
0.2714117970100993,
0.05867453631174802,
0.3331691612562093,
-0.07492837598717378,
0.17808332995731574,
-0.0098721246404792,
0.2568756831721276,
0.25717541436435515,
0.13939214004418699,
-0.04948319280864416,
0.2899315474044505,
-0.046836128513936065,
0.0910924625991... | {
"n_parameters": 164,
"n_qubits": 10,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 6 |
98ff52dd3a46eb29e6baf499c47cc739 | graph_coloring | qaoa | {"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": 1, "target": 4}, {"source": 3, "target": 4}]} | {"states": [27507, 23979], "expectation_value": -4.6281115237213575, "params": [[0.25120000000000003], [-0.24080000000000001]], "bitstrings": ["001010010001100", "010001001010100"], "total_optimization_steps": 30, "probabilities": [0.00034912668317020124, 0.0003491266831702013], "optimization_time": 45.27210330963135} | 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 * ... | 5 | 15 | 1 | {"smallest_eigenvalues": [-9.499999999999977], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999941, "smallest_bitstrings": ["010001001010100"], "largest_eigenvalue": 28.50000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0];
rz(x0) q[0];
cx q[... | {"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,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1.5,
... | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
890404114302194751 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 6], [3, 4], [3, 5], [2, 3], [1, 5], [1, 3], [1, 4], [0, 2], [0, 3], [0, 6]]} | {"states": [71, 86], "expectation_value": -2.5875318507321055, "params": null, "bitstrings": ["0111000", "0101001"], "total_optimization_steps": 55, "probabilities": [0.05426619141030724, 0.7727246450417131], "optimization_time": 63.32853293418884} | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0101001", "1010110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.5389605112881823) q[1];
h q[2];
h q[3];
ry(-0.18434209110495148) q[3];
h q[4];
h q[5];
cx q[5], q[3];
ry(0.18434209110495148) q[3];
cx q[5], q[3];
ry(-0.11109835829667422) q[3];
cx q[4], q[3];
ry(0.11109835829667422) q[3];
cx q[4], q[3];
ry(0.74928... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"ZIIIZII",
"IIIZZII",
"IIZZIII",
"IZIZIII",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"ZIIIIIZ",
"IIIIZIZ",
"IIIZIIZ",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"IIIIIIZ"
] | [
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
] | 0.970244 | [
-0.36868418220990296,
1.1383111704587128,
-0.4082363982189458,
-0.22219671659334844,
1.4744685128139825,
1.4985718371885823,
-1.0854311519240984,
-1.0779210225763647,
0.9373273746333124,
-0.6046728476757096,
0.3939009115417115,
0.49755046363302097,
0.29955934246540633,
-0.28541590531576067... | {
"n_parameters": 43,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 31 |
5ab0d413e91c40c8571cb2ab0e0009e7 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 8}, {"source": ... | {"states": [0, 832], "expectation_value": -20.323907378251587, "params": [-1.1744, -0.0058000000000000005, 0.9752000000000001, 0.004, -1.1848, -0.0011, 0.8778, 0.0027, 0.002, 1.5533000000000001, -0.0025, 0.0095, -1.0929, 0.0047, 0.31720000000000004, 0.0037, 0.0018000000000000002, 1.9509, -0.002, 0.003, 0.00170000000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -3.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + -3.0 * (Z(2) @ Z(9)) + -2.5 ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["0010111111"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.5574713118117607) q[0];
rz(1.7493992270792322) q[0];
rx(-0.4594540979603695) q[1];
rz(1.8252919771661595) q[1];
rx(0.02046867567771737) q[2];
rz(2.152754468132616) q[2];
rx(-0.36388622198717396) q[3];
rz(1.7051223684501764) q[3];
rx(-0.08839192898698094) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IZIIIZIIII",
"IIZIIZIIII",
"IIZIZIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"ZIIIZIIIII",
"IZIIIIIZII",
"IIIIIZIZII",
"IIZIIIIZII",
"IIIIZIIZII",
"ZIIIIIIZII",
"IZIZIIIIII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIZZIIIII",
"ZIIZIIIIII",
"IIIZIIIZII"... | [
-1.5,
-1.5,
0.5,
-2,
0.5,
-2,
0.5,
-3,
-2.5,
0.5,
0.5,
1,
0.5,
-3,
-2.5,
0.5,
0.5,
0.5,
-3,
-2.5,
0.5,
0.5,
0.5,
1,
-2,
-2.5,
1,
1.5,
-2.5,
1
] | 0.971363 | [
-0.5574713118117606,
0.17860290028433565,
-0.4594540979603695,
0.2544956503712633,
0.02046867567771737,
0.5819581413377195,
-0.363886221987174,
0.13432604165527892,
-0.08839192898698095,
0.472490915671105,
-0.1404617520731622,
1.2070778612727862,
0.02394998335109433,
0.35084461764043817,
... | {
"n_parameters": 191,
"n_qubits": 10,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 226 |
473775bc8d8b4cca680d00f7b64c1aa1 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [2, 3], "expectation_value": -12.195711801838554, "params": [0.1296, 0.2253, 0.055600000000000004, 0.2579, 0.06520000000000001, 0.2858, 0.3902, 0.2482, 0.4646, 0.24130000000000001, 0.459, 0.216, 0.13490000000000002, 0.2361, 0.0579, 0.2609, 0.0655, 0.2909, 0.36710000000000004, 0.2576, 0.46740000000000004, 0.2... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 3 | 6 | 4 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 70.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022388232708840404) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022388232708840404) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022388232708840404) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.022388232708840404) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
-6.25,
-5.75,
-6.25,
-5.75,
-5.5,
-5.5
] | 0.970792 | [
0.022388232708840404,
-0.16546972504389865,
1.387189998889542,
1.1317721305414625,
-1.0291416278486831,
1.3553919116902904,
-0.24772195907827305,
-0.6852193775874179,
1.0091668921719015,
0.9126657422045303,
0.15550491965267638,
0.23151516878776346
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 42 |
43f346f2449aaad74bd3d1617b2cab32 | 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": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [22, 13], "expectation_value": -0.10263083868374515, "params": [[0.0669], [-0.056]], "bitstrings": ["101001", "110010"], "total_optimization_steps": 10, "probabilities": [0.017049643268426045, 0.01704964326842605], "optimization_time": 1.0414507389068604} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "110010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4099597405997399) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4099597405997399) q[3];
cx q[0], q[3];
rz(0.5379425344598752) q[3];
rx(-1.0181627007712197) q[3];
h q[4];
cx q[2], q[4];
rz(0.4099597405997399) q[4];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"ZZIIII",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0,
-1,
-0.5,
-0.5
] | 0.756698 | [
0.4099597405997399,
-0.5276923746122105,
0.5379425344598753,
-0.15590122747147514,
-1.0181627007712197,
0.9194045375777744,
-1.0915528273895585,
-0.4028415862936717,
-0.5859290117404532
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 223 |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [15851, 32235], "expectation_value": -17.697760956914557, "params": [1.1889, 0.2083, 1.2, 0.0046, 1.1204, 0.2748, 0.7941, 0.0095, 1.1935, 0.1073, 1.1827, 0.0082, 1.1875, 0.10990000000000001, 1.1755, 0.0006000000000000001, 1.1915, 0.1076, 1.1908, 0.00030000000000000003, 1.1987, 0.134, 1.1916, 0.0002, 1.1714, ... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 6 | 16 | 1 | {"smallest_eigenvalues": [-19.999999999999847], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999815, "smallest_bitstrings": ["1000001000010100"], "largest_eigenvalue": 68.00000000000027} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIZIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIIZZIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
-284893241982961315 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [2, 6], [2, 3], [0, 1, 3], [2, 4], [4, 5]]} | {"states": [13, 77], "expectation_value": -2.615418103067031, "params": null, "bitstrings": ["1110010", "0110010"], "total_optimization_steps": 37, "probabilities": [0.13119251306295882, 0.6627894060846187], "optimization_time": 37.68439078330994} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + 0.16666666666666674 * Z(3) + 0.0 * Z(2) + 0.0 * Z(6) + 0.16666666666666666 * Z(0) +... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333334, -2.833333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["0110010", "1010010"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.2767839231860599) q[1];
cx q[0], q[1];
ry(0.2767839231860599) q[1];
cx q[0], q[1];
ry(-0.15296730588841656) q[0];
cx q[1], q[0];
ry(0.15296730588841656) q[0];
cx q[1], q[0];
ry(0.5899663192814911) q[0];
ry(-0.0911186011641832) q[1];
h q[2];
ry(-0.3... | 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[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IZIZIII",
"IIIZZII",
"ZIIIZII",
"IIIZIIZ",
"IIIZIZI",
"IIIIIZZ",
"IZZIIII",
"IIZIZII",
"IZIIIII",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0,
0.16666666666666674,
0,
0,
0.16666666666666666,
0.16666666666666666,
0
] | 0.970691 | [
-0.7064274565247526,
1.5986406860359352,
-1.3061993242927965,
1.3446398886031643,
-0.6472853295191618,
1.4893184555885326,
-0.34858523055700985,
0.14759086420262413,
-0.2861994879897465,
0.15719856423055376,
-0.5535678463721198,
-0.10102900577344684,
-0.3059346117768331,
0.3911972840139732... | {
"n_parameters": 27,
"n_qubits": 7,
"optimal_eigenvalue": -2.833333333333334,
"target_ratio": 0.97,
"target_value": -2.748333333333334
} | 9 |
-4213807148665555383 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 5], [2, 5], [0, 3], [0, 4], [1, 4]]} | {"states": [28, 14], "expectation_value": -2.1164770392798538, "params": null, "bitstrings": ["100011", "110001"], "total_optimization_steps": 38, "probabilities": [0.05359105797771597, 0.7532337500760429], "optimization_time": 20.56111454963684} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["110001", "001110"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.012086707945597387) q[0];
h q[1];
ry(-0.012086707945597387) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
ry(0.012086707945597387) q[0];
cx q[4], q[0];
cx q[4], q[1];
ry(0.012086707945597387) q[1];
cx q[4], q[1];
ry(-0.5454248876318473) q[0];
ry(-0.77561809... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"ZIZIII",
"ZIIZII",
"IIZIIZ",
"IZIIIZ",
"IZIIZI",
"ZIIIII",
"IIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.981326 | [
-0.024173415891194774,
1.5381368720063335,
-0.4573821572923954,
0.9763952712155289,
-0.845716518209892,
1.0101221297536276,
-1.0908497752636945,
0.27839620419797967,
0.42118138129561444,
-0.8205862969811011,
0.20105834779571147,
-0.17581748571897043,
0.46347820326853995,
0.0899363944198171... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 27 |
570854331bf757be794b813c390e4e40 | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [334, 318], "expectation_value": -1.607123524914561, "params": [[[0.499, 0.0152, 0.00030000000000000003, 0.0011], [0.5034000000000001, 0.007, 0.3814, 0.0262], [0.3413, 0.0234, 0.29350000000000004, -0.0323], [0.35800000000000004, -0.1373, 0.4924, 0.0471], [0.4887, 0.0654, 0.4914, -0.0078000000000000005], [0.1... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 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(4) @ Z(0)) + 0.125 * (Z(7) @ Z(0)) + 0.125 * (Z(8) @ Z(0)) + 0.125 * (Z(7) @ Z(4)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(7) @ Z(0) @ Z(4)) + ... | 11 | 10 | 4 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.6875, "smallest_bitstrings": ["1011000001", "1011000010", "1011001000", "1010101000", "0110101000", "0111000010"], "largest_eigenvalue": 6.3125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5156376950234425) q[0];
rz(0.1986763463716926) q[0];
ry(1.6123484720869226) q[1];
rz(-0.15083038097189586) q[1];
cx q[1], q[0];
ry(-0.10924469545426371) q[0];
rz(0.28030714252007716) q[0];
ry(-0.536280490040061) q[1];
rz(-0.10196973599542483) q[1];
ry(-0.014114088... | 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": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIIZZIZIII",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIZIIZIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IIZIIZIIIZ",
"IZIIIZIIIZ",
"IZZIIIIIIZ",
"IZZIIZIIII",
"IZZIIZIIIZ",
"IIIIIIIZZI",
"IIIIZIIIZI",
"IIZIIIIIZI"... | [
0.5,
0.5,
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,
0.0625,
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,
... | 0.972182 | [
1.5156376950234425,
0.1986763463716926,
1.6123484720869226,
-0.15083038097189586,
-0.014114088504483029,
0.1289500314465707,
0.04396475312805043,
0.35853910138358724,
0.05143029229932082,
1.2162655931971267,
-0.00034759176628042926,
-0.4521588481618358,
0.29991237854465774,
0.1471145211260... | {
"n_parameters": 140,
"n_qubits": 10,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 262 |
2df5083eec714b9fdc0c8843b7695063 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [133, 141], "expectation_value": -33.53738691639231, "params": [[[1.5697, 0.002], [0.0028, 1.0885], [0.0022, -1.0315], [-0.0022, 1.3956000000000002], [0.7901, -0.006500000000000001], [1.5672000000000001, -0.003], [0.0017000000000000001, 0.9655], [1.576, 0.0019]], [[1.5758, 0.0051], [0.0028, 0.005500000000000... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(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(7) @ Z(6)) + -1.5 * Z(0) + -3.5 * Z(2) + -4.5 * Z(1) + -7.0 * Z(3) + -6.0 * Z(4) + 1.0 * Z(5) + -2.0 * Z(6) + -1.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.5, "smallest_bitstrings": ["01110010"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.02726385121418927) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.02726385121418927) q[1];
cx q[0], q[1];
rz(-1.6027682660398161) q[0];
rx(-1.644335621650184) q[0];
cx q[2], q[1];
rz(0.02726385121418927) q[1];
cx q[2], q[1];
h q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIZZIII",
"IIZIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
-1.5,
-3.5,
-4.5,
-7,
-6,
1,
-2,
-1
] | 0.980224 | [
0.02726385121418927,
-1.6027682660398161,
1.6612621026647572,
1.5140893262708621,
-1.4142046096662184,
1.5607466052674113,
-1.2355434411882795,
1.7777638269702782,
1.9424021471281856,
-1.6443356216501843,
0.5585330208204107,
0.006381188169456237,
1.8639243363114775,
-0.2903186153987083,
... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -54.5,
"target_ratio": 0.97,
"target_value": -52.865
} | 48 |
9aa4886cb5635222092ad472ddfdf453 | 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": [347, 339], "expectation_value": -91.26782037054795, "params": [0.0026000000000000003, 0.893, -0.0018000000000000002, 0.8492000000000001, 1.2048, 0.0589, -0.0012000000000000001, 0.6797000000000001, 1.1966, 0.0574, 0.6945, 0.24960000000000002, 1.2012, 0.1441, 0.7705000000000001, 0.2157, 0.0032, -0.71110000000... | 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(2)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(9) @ Z(6)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(8) @ Z(10)) + -6.5 * Z(1) + 7.5 * Z(2) + 25.0 * Z(4) + -4.0 * Z(3) + 4.5 * Z(5) + 21.5 * Z(... | 18 | 11 | 2 | {"smallest_eigenvalues": [-130.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -115.0, "smallest_bitstrings": ["11010101100"], "largest_eigenvalue": 179.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.09263402576053484) q[0];
rz(0.9203619964312058) q[0];
rx(0.032806872821702374) q[1];
rz(0.7514658802081091) q[1];
rx(1.3460473728513147) q[2];
rz(0.0004260123025328008) q[2];
rx(0.10227288253307418) q[3];
rz(0.4638000764465511) q[3];
rx(1.5563071120924563) 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, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIZZIII",
"IIIIIZIIZII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IZIIIIZIIII",
"IZIIZIIIIII",
"IZIZIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"IZIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-6.5,
7.5,
25,
-4,
4.5,
21.5,
8.5,
16,
2,
-6,
-14.5
] | 0.973311 | [
-0.09263402576053484,
0.948206148613129,
0.032806872821702374,
0.7514658802081091,
1.3460473728513147,
0.0004260123025328008,
0.10227288253307418,
0.4638000764465511,
1.5563071120924563,
-0.026171811638137414,
-0.1356516082756975,
0.38175535838550667,
1.311002785563394,
0.31203300796846195... | {
"n_parameters": 62,
"n_qubits": 11,
"optimal_eigenvalue": -130,
"target_ratio": 0.97,
"target_value": -126.1
} | 17 |
4c20f1c198d9974c2e06b7b7ac531193 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.9448557433126809, "params": [[-0.0639, -0.0468], [0.07490000000000001, 0.06420000000000001]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.006548662800676553, 0.006947778985246591], "optimization_time": 3.1100962162017822} | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + 0.75 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) + 0.5 * Z(3) + 1.25 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["10000100", "10000000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.22157641917024928) q[0];
ry(0.00898152646378737) q[1];
ry(0.02472649820771007) q[2];
ry(0.05763287371265249) q[3];
ry(0.0036084805931868484) q[4];
ry(-0.04749337088044957) q[5];
ry(1.0911704212811806) q[6];
ry(0.2493891450036926) q[7];
cx q[7], q[0];
cx q[6], q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-0.25,
-1.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-1.25,
-1,
0.75,
-1.25,
-0.5,
-0.25,
1.5,
0.5,
1.25,
-1,
-1,
-0.5
] | 0.971183 | [
-0.22157641917024928,
0.00898152646378737,
0.02472649820771007,
0.05763287371265249,
0.0036084805931868484,
-0.04749337088044957,
1.0911704212811806,
0.2493891450036926,
-0.9012942735590549,
-0.24745318900433683,
-0.01707069937213386,
-0.08040860354516637,
-0.03283962223876556,
0.089752880... | {
"n_parameters": 58,
"n_qubits": 8,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 51 |
62ca4fdc3f835f51dee1780376d2bf19 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [38, 50], "expectation_value": -0.43700305806780093, "params": [[-0.0347, -0.0606, -0.0218], [0.0155, 0.0668, 0.0475]], "bitstrings": ["011001", "001101"], "total_optimization_steps": 10, "probabilities": [0.020465025006680237, 0.020465025006680237], "optimization_time": 5.613729953765869} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03311259666018414) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.03311259666018414) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.03311259666018414) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.033... | OPENQASM 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": []} | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"IIIZZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-0.5,
-0.5
] | 0.970979 | [
-0.03311259666018414,
-0.926740016131006,
1.1332781721574576,
-0.6828999435483087,
0.048848077717694956,
-0.6892557923561745,
-0.9341746867604942,
-1.0526159075651214,
1.562787464657171,
-0.6479653873188044,
-0.7809022078920977,
-0.48800858196832586,
-0.05786698635618916,
-3.23403462105192... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 139 |
abfbe99ad8a7b3ce3391f1e624bdf663 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 7, "source": 0, "target": 5}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 9}, {"capac... | {"states": [512, 511], "expectation_value": -17.3818698278065, "params": [[[-0.0, -0.0041], [-0.0021000000000000003, 0.219], [-0.0005, -0.0017000000000000001], [-0.0021000000000000003, -0.0029000000000000002], [-0.0046, -0.0028], [-0.0031000000000000003, 0.0021000000000000003], [-0.0018000000000000002, -0.0023], [-0.00... | -1.75 * (Z(0) @ Z(5)) + -1.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(5)) + -2.5 * (Z(2) @ Z(1)) + 2.0 * (Z(9) @ Z(0)) + -1.5 * (Z(9) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(9)) + -1.5 * (Z(6) @ Z(3)) + -1.5 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(3)) + -1.0 * (Z(8) @ Z(6)) + -1.25 * (Z(4) @ ... | 15 | 10 | 3 | {"smallest_eigenvalues": [-18.0, -18.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.0, "smallest_bitstrings": ["1000000000", "1000100000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.07168029089302068) q[0];
ry(-0.0887868752379074) q[1];
ry(-0.0886917366562172) q[2];
ry(-0.0887868752379074) q[3];
ry(0.02254361888648892) q[4];
ry(0.02492283631619445) q[5];
ry(-0.05273438026645277) q[6];
ry(-0.07324288365701848) q[7];
ry(1.6574056681480789) 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIIIIIZZI",
"ZIIIIIIIIZ",
"ZIIIIIIIZI",
"IIIIIIZZII",
"IIIZIIIIZI",
"ZIIZIIIIII",
"IIIZIIZIII",
"IZIIZIIIII",
"IZIIIIZIII",
"IZIZIIIIII",
"IIIZIZIIII",
"ZIZIIIIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"IIIIZIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI"... | [
-1.75,
-1.25,
-0.25,
-2.5,
2,
-1.5,
-0.75,
-0.75,
-1,
-1.5,
-1.5,
-0.75,
-1,
-1.25,
-0.5,
-1.25,
-1.5,
1.25,
-0.25,
0,
0,
-1,
0,
3.75,
-0.25,
-1.25,
-2.25
] | 0.971574 | [
-0.07168029089302068,
-0.0887868752379074,
-0.0886917366562172,
0.02254361888648892,
0.02492283631619445,
-0.05273438026645277,
-0.07324288365701848,
1.6574056681480789,
-0.2588485362215787,
0.024785727987104607,
0.10375231761510936,
0.031603757146654296,
-0.0538614952085408,
-0.0043520881... | {
"n_parameters": 46,
"n_qubits": 10,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 48 |
4310bc53cfb94463debd420e41a01e97 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [262, 294], "expectation_value": -39.31476532841933, "params": [[[0.6074, -0.0021000000000000003], [0.28290000000000004, 0.16490000000000002], [0.0015, -0.1986], [0.6044, -0.0007], [0.0051, 0.38280000000000003], [0.28600000000000003, 0.1666], [0.606, -0.0014], [0.6036, 0.0033], [0.0007, 0.3249]], [[0.5998, -... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(7)) + 5.0 * (Z(6) @ Z(8)) + -4.5 * Z(1) + -1.5 * Z(0) + -10.0 * Z(2) + 4.5 * Z(3) + -6.5 * Z(5) + -6.5 * Z... | 1 | 9 | 3 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["011011001"], "largest_eigenvalue": 86.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.0060413839438933) q[0];
ry(2.862356306154591) q[0];
rz(-1.611208629293614) q[0];
rz(-1.2625963711373016) q[1];
ry(0.08289932483572642) q[1];
rz(1.1319133719156182) q[1];
rz(1.5420938465825946) q[2];
ry(0.17292184237878286) q[2];
rz(-1.6262445704814683) q[2];
rz(1.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZZIIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIZIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-4.5,
-1.5,
-10,
4.5,
-6.5,
-6.5,
1.5,
-10,
2
] | 0.972279 | [
0.5519999904359474,
-0.09718655816453713,
-0.04249801951916979,
0.12579937823975237,
0.09177927175101894,
-0.09151027568746542,
0.785923486049262,
-0.023067668278100383,
-0.002577188317219009,
0.5968493293356667,
0.02919800854314375,
-0.07931222946512849,
0.9642131374454745,
0.289520422370... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -69,
"target_ratio": 0.97,
"target_value": -66.92999999999999
} | 16 |
20a60ed013bc1976376f734be7d8d92c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 6], "expectation_value": -1.9998648604775688, "params": null, "bitstrings": ["1111", "1001"], "total_optimization_steps": 13, "probabilities": [1.900140947380775e-05, 0.9999183586751094], "optimization_time": 5.10561990737915} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"ZZII",
"IZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
19bf2792303f03225b401563534cb3e3 | 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": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [90, 30], "expectation_value": -4.9991051670407485, "params": null, "bitstrings": ["0100101", "1100001"], "total_optimization_steps": 31, "probabilities": [0.06621413829401404, 0.9331545887175341], "optimization_time": 27.59154176712036} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + -2.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100100", "0100101", "1100001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5123921700884125) q[0];
h q[1];
ry(-1.5478607893892393) q[1];
h q[2];
ry(1.4932408525726673) q[2];
h q[3];
ry(1.4932408525726673) q[3];
h q[4];
cx q[4], q[0];
ry(0.5123921700884125) q[0];
cx q[4], q[0];
ry(-0.5529709167691285) q[0];
ry(0.69836918907653) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\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",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"IIIZIZI",
"IZIIIZI",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1,
-1,
-1,
0,
0,
0
] | 0.996226 | [
-1.5478607893892393,
-1.2763218074855838,
1.4932408525726673,
-1.024784340176825,
0.453724466409899,
-0.34607674993476084,
0.48928944533326213,
-0.4137883336687353,
0.3703911734717731,
-0.21034828475149078,
-0.18108714827030487,
0.14412734431833038,
0.2361998788122091,
0.14614298833229686,... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
bbe36c72142a04c8b1698fed3f77c25c | hamiltonian_path | adaptive_vqe | {"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": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 91.43595099449158} | 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 ... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.981439 | [
-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 |
30ba64f2314d12dd7a4bba52fce6e2f0 | min_cut | 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": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 2, "target": 4}, {"capaci... | {"states": [62, 31], "expectation_value": -2.094044128140679, "params": [[-0.0702, -0.0545, -0.0601, -0.0238], [0.0823, 0.07010000000000001, 0.0761, 0.06280000000000001]], "bitstrings": ["000001", "100000"], "total_optimization_steps": 10, "probabilities": [0.040562129394613344, 0.04611011305358768], "optimization_time... | -0.75 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -1.75 * (Z(2) @ Z(4)) + -0.75 * (Z(1) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + 0.75 * Z(1) + 0.25 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.25, "smallest_bitstrings": ["111110", "101110", "100000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.013998913927963777) q[0];
rz(-0.17149443553368027) q[0];
rx(0.9176296645850912) q[1];
rz(-0.008414519479911217) q[1];
rx(-0.07133329756888002) q[2];
rz(-0.28009948850485156) q[2];
rx(-0.07133329756888002) q[3];
rz(-0.21658522262626537) q[3];
rx(0.050114731907889454... | OPENQASM 3.0;
include "stdgates.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",
"IZZIII",
"IZIIIZ",
"IZIZII",
"IIIZZI",
"ZIZIII",
"ZIIIIZ",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIIIZI",
"ZIIIII"
] | [
-0.75,
-1,
-0.25,
-1.75,
-0.75,
-1,
1.25,
0.25,
-0.25,
-0.5,
-0.5,
0.75,
0.25
] | 0.974597 | [
0.013998913927963777,
-0.17149443553368027,
0.9176296645850912,
-0.008414519479911217,
-0.07133329756888002,
-0.28009948850485156,
-0.21658522262626537,
0.050114731907889454,
0.09333842897412256,
2.434106439818495,
0.40266511199623956
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 9 |
d0689a6dbeb7a066dbec17f8f325db83 | 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": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [35, 1], "expectation_value": -0.11894197063179987, "params": [[-0.041], [0.0448]], "bitstrings": ["1011100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.008449205026276727, 0.008538928237950124], "optimization_time": 1.339550256729126} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(6) + -1.0 * Z(1) + 1.0 * Z(4) + 0.75 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.75, "smallest_bitstrings": ["1111110", "1111100", "1111010", "1111000"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.06898382804863952) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.9136619903538868) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(0.5171590410598331) q[3];
cx q[0], q[3];
rz(0.5171590410598332) q[3];
rx(1.1733415603473807) q[3];
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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IIZIZII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.75,
1.5,
-0.25,
-1,
-0.75,
-1.25,
-0.25,
-0.75,
1.5,
-1,
1,
0.75
] | 0.592362 | [
0.06898382804863952,
0.5171590410598331,
-0.8546453602015381,
0.9136619903538868,
0.22139306930217686,
1.2118619337300773,
-1.3839135840822527,
-1.3195322834720893,
1.1733415603473807
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 208 |
18f51c81d01a61d58a5d6da20c55ce9d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [1023, 135], "expectation_value": -1.6576364681590214, "params": [[-0.041100000000000005], [0.0517]], "bitstrings": ["0000000000", "1101111000"], "total_optimization_steps": 10, "probabilities": [0.001402668748256854, 0.0014324262753319383], "optimization_time": 2.5663974285125732} | -2.5 * (Z(0) @ Z(3)) + -3.5 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(0)) + -3.5 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(6)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(6)) + -3.0 * (Z(5) @ Z(1)) + 1.0... | 5 | 10 | 1 | {"smallest_eigenvalues": [-28.0, -28.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -25.0, "smallest_bitstrings": ["0000000000", "1101111000"], "largest_eigenvalue": 33.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.13073336812900155) q[0];
rz(2.3125814195312717) q[0];
rx(-0.022863559920685953) q[1];
rz(2.6074573354717945) q[1];
rx(-0.6999719192594032) q[2];
rz(0.7666142932163726) q[2];
rx(-0.10078216518072208) q[3];
rz(1.1992446106943841) q[3];
rx(0.2775570395800168) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIZIIIIZI",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIZIZIIII",
"IIIIIZIIZI",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIZZIIIII",
"IIIIZIIIZI",
"IIIIZZIIII",
"ZIZIIIIIII",
"ZIIIIIIZII",
"IIZIIIIZII",
"ZZIIIIIIII",
"IZZIIIIIII"... | [
-2.5,
-3.5,
-3,
-3.5,
1,
-3,
1,
0.5,
-3,
-2.5,
1.5,
0.5,
-3.5,
-3,
1,
-2,
0.5,
-1.5,
-1.5,
0.5,
-2.5,
1,
1.5,
1.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5
] | 0.972686 | [
0.13073336812900155,
0.7417850927363753,
-0.022863559920685953,
1.036661008676898,
-0.699971919259403,
-0.8041820335785246,
-0.10078216518072207,
-0.3715517161005127,
0.2775570395800168,
0.1652549542095049,
-0.057320429884227274,
0.5763437102242233,
-0.08716646181105751,
0.4355435746943682... | {
"n_parameters": 189,
"n_qubits": 10,
"optimal_eigenvalue": -28,
"target_ratio": 0.97,
"target_value": -27.16
} | 356 |
d2afe27b0de0de0693309013bd4cb7f6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [118, 115], "expectation_value": -14.884815027721652, "params": [[-0.0509, -0.008400000000000001], [0.07590000000000001, 0.056]], "bitstrings": ["10001001", "10001100"], "total_optimization_steps": 10, "probabilities": [0.011615102224861696, 0.013943104961914147], "optimization_time": 3.7587883472442627} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 5.5 * Z(0) + 9.5 * Z(2) + 15.5 * Z(3) + 1.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-60.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10001100"], "largest_eigenvalue": 127.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.6603319576342586) q[0];
rz(-pi) q[1];
ry(-3.09132270976154) q[1];
h q[2];
ry(-1.59277342892783) q[2];
h q[3];
ry(10.929252278696099) q[3];
h q[4];
rz(-pi) q[5];
ry(-3.0980243226886683) q[5];
rz(-pi) q[6];
ry(-1.4685334302306399) q[6];
cx q[3], q[6];
ry(-0.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11,
5.5,
9.5,
15.5,
1,
11,
14,
12
] | 0.970121 | [
10.929252278696099,
-0.5854890024487437,
-15.870510362502078,
-2.371832064547635,
3.190282941504731,
0.5296199822347359,
-3.151836567617419,
33.118537899059916,
-1.59277342892783,
1.6603319576342586,
10.629557319388375,
3.048407594216927,
-37.408128681922456,
-0.017677031990097333,
-0.14... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -60.5,
"target_ratio": 0.97,
"target_value": -58.684999999999995
} | 63 |
944d1e10c1efdd3cf89f3eb5fd93918c | connected_components | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [0, 3], "expectation_value": -3.998043785566831, "params": null, "bitstrings": ["11111", "11100"], "total_optimization_steps": 17, "probabilities": [0.24799819414047652, 0.7500155702920361], "optimization_time": 6.277666091918945} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * Z(1) + 1.0 * Z(0) + -1.0 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) | 5 | 5 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["00100", "11100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.02677676912273383) q[0];
rz(1.7791030721526582) q[0];
rx(0.14185500204046736) q[1];
rz(2.5051147100231335) q[1];
rx(0.20184054179175628) q[2];
rz(2.4106890750013985) q[2];
rx(-0.9808682906550414) q[3];
rz(1.5743759524828) q[3];
rx(-0.35098050451486523) q[4];
rz(0.... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
-1.5,
0.5,
-1,
-1.5,
1,
-1,
0.5,
0.5
] | 0.97098 | [
-0.02677676912273383,
0.20830674535776214,
0.1418550020404674,
0.9343183832282367,
0.20184054179175626,
0.8398927482065018,
-0.9808682906550414,
0.0035796256879041567,
-0.35098050451486523,
0.21567347580531265,
1.2543159242063746,
-0.07935135923841413,
0.2010068271577604,
0.293429892568229... | {
"n_parameters": 75,
"n_qubits": 5,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 10 |
44dacfe202593d38d27b1900f1e3c9cb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [112, 104], "expectation_value": -4.996515624145526, "params": null, "bitstrings": ["0001111", "0010111"], "total_optimization_steps": 24, "probabilities": [0.06700894031405208, 0.9297461660320782], "optimization_time": 23.94021224975586} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * Z(4) + -1.0 * Z(0) + -2.0 * Z(5) + -1.5 * Z(6) + 0.0 * Z(1) + -1.0 * Z(... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010011", "0010111", "0001111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.498214373555806) q[0];
h q[1];
ry(1.5729680172307) q[1];
h q[2];
ry(-0.5206531089606106) q[2];
h q[3];
cx q[3], q[2];
ry(0.5206531089606106) q[2];
cx q[3], q[2];
ry(-0.7572028223353544) q[2];
ry(0.9590918998445399) q[3];
cx q[1], q[3];
ry(-0.201581106472779... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"ZZIIIII",
"ZIIIIZI",
"IIZIZII",
"IZIIZII",
"IZIZIII",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2,
-1.5,
0,
-1,
-0.5
] | 0.998543 | [
-1.5344843944901116,
-1.5502120455956891,
-1.4138900630759628,
1.5729680172307,
1.498214373555806,
-1.0413062179212211,
0.7575107933717606,
-0.5341146279279245,
0.40316221294555876,
-0.44617638881486005,
0.3195043901026477,
-0.08398047723390256,
0.00900809255209721,
0.09919787981410061,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
9645644fcb46d75a104e4de81b9201a7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [3, 1], "expectation_value": -0.16559977357328004, "params": [[-0.0863], [0.0805]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.00927626575242705, 0.009496445920509983], "optimization_time": 1.3947608470916748} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(6) + 1.0 * Z(3) + -0.75 * Z(1) + -0.75 * Z(4) + 0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1010100", "1111100"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5968952478819238) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.06171327633547268) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.415918497861762) q[1];
cx q[3], q[1];
h q[4];
cx q[2], q[4];
rz(-0.06171327633547268) 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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[6];
rz(x1) q[6];
cx q[0], q[6]... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"ZIIIIIZ",
"IIIZZII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
0.5,
1,
-0.75,
-0.75,
0.5
] | 0.926178 | [
-0.5968952478819238,
0.4526712559046789,
-0.06171327633547268,
-0.415918497861762,
-0.6502010492922798,
-1.6181973367743598,
-0.8278971628393553,
0.9201213440736843,
-0.14848852993025277,
-1.0885472675907426,
-0.6577968816211469,
-1.0712293365854164
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 324 |
1e66658283a5aa7556a964c41aeb84ff | 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": 7}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -1.1159730878162877, "params": [[-0.0582, 0.06720000000000001], [0.0782, -0.032]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005762046115708519, 0.005821243618871048], "optimization_time": 3.1756505966186523} | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(7)) + -1.25 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -1.5 * (Z(4) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(0.005559243985634868) q[0];
cx q[7], q[0];
rz(-0.05468477954647444) q[0];
rx(1.4808495225559397) q[0];
cx q[7], q[1];
rz(-0.2251769942614919) q[1];
cx q[7], q[1];
cx q[7], q[2];
rz(-0.2251... | OPENQASM 3.0;
include "stdgates.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": []} | [
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIIIIZII",
"IIIIIZZI",
"ZIZIIIII",
"IIZIIIZI",
"IZIIIIZI",
"IZZIIIII",
"IIIIZZII",
"ZIIZIIII",
"IIIZIIZI",
"IIIZIZII",
"IZIZIIII",
"IIIZZIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.25,
-1.25,
-1.25,
-1,
-0.5,
-1.5,
-0.5,
-1.75,
-0.25,
-0.75,
-0.25,
-0.75,
-0.25,
-1.5,
-3.5,
-0.25,
4,
-0.75,
-1.25,
0,
-0.25,
2
] | 0.840546 | [
0.005559243985634868,
-0.2251769942614919,
0.014078273455673817,
-0.13258183894919015,
-0.6507055880512345,
-0.07610002195760088,
-0.05468477954647449,
-0.009310548940203356,
1.0145287463405748,
-0.984669273512638,
-0.31651126330196433,
-1.526871870686111,
1.48084952255594,
-0.006048706674... | {
"n_parameters": 25,
"n_qubits": 8,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 500 |
37b183b4dc70145272a31a80cccd7f15 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [0, 1], "expectation_value": -10.762527453569032, "params": [0.0054, 0.132, 0.0027, 0.3109, 0.0014, 0.30510000000000004, 0.0054, -0.221, 0.0015, 0.30910000000000004, 0.0001, 0.3181, 0.0008, 0.3154, 0.39840000000000003, 0.0002, 0.0016, 0.2149, 0.0053, 0.3034, 0.0066, 0.31120000000000003, 0.0014, -0.2188000000... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(5) @ Z(1)) + -2.25 * (Z(5) @ Z(2)) + -1.25 * (Z(7) @ Z(4)) + 1.5 * (Z(7) @ Z(0)) + 0.75 * Z(4) + -... | 3 | 8 | 4 | {"smallest_eigenvalues": [-11.25, -11.25, -11.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000", "11111110", "10000010"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.11174149834812648) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.5516557895705306) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(-0.317004216547579) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[0], q[6];
rz(0.04186691593615... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIZIIIZ",
"IZIIIIIZ",
"IIIZIIZI",
"IZIIIIZI",
"IZIIIZII",
"IIIIIZZI",
"IIIZZIII",
"IIIIZIZI",
"IIIIZZII",
"IIZIIIZI",
"IIZIIZII",
"ZIIZIIII",
"ZIIIIIIZ",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.75,
-0.5,
-0.25,
-0.25,
-0.25,
-1,
-2,
-1,
-1,
-1.25,
-2.25,
-1.25,
1.5,
0.75,
-0.25,
0,
0.75,
-2.5,
-0.5,
1.5,
0.25
] | 0.845041 | [
-0.11174149834812648,
0.04186691593615775,
-0.5516557895705306,
-0.6331641652637868,
-0.317004216547579,
-0.2894627742225626,
-0.5891981736167695,
0.1701236134999354,
0.13608382337417127,
-0.24570874744628493,
-0.0015216716957055067,
0.8217944700284973,
-1.232959284409201,
-0.2646386024022... | {
"n_parameters": 25,
"n_qubits": 8,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 489 |
3d1dde02abe951da208ed22501079cfd | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [69, 7], "expectation_value": -7.864388332421609, "params": [[-0.030000000000000002, -0.0161, 0.0648], [0.038400000000000004, 0.0429, -0.0395]], "bitstrings": ["10111010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.005846031848403507, 0.006205828171896469], "optimization_time": 9.981382... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 16 | 8 | 3 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(0.01916910831901575) q[0];
ry(0.040011321484877946) q[0];
rz(-0.3297910839494538) q[0];
rz(-0.6279459329093449) q[1];
ry(0.04144721688536006) q[1];
rz(1.3890117666592916) q[1];
rz(1.2678448526061201) q[2];
ry(0.3643402784305616) q[2];
rz(-2.253218816818194) 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[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7,
-7,
-7,
-7.5,
-6.25,
-6.5,
-6.25
] | 0.973939 | [
-0.06665264922991992,
-0.536085762019275,
0.05219494770080912,
0.4134012993974177,
0.2394787235997971,
-0.7739367453951336,
0.4866368394148667,
-0.0401288681240079,
0.008567340947978966,
0.15545946273142092,
1.3726489496448595,
0.04126656472357189,
0.9034759098953484,
1.9977648676974686,
... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 17 |
b426b8aff164c6823b185eb6b091738d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [11, 53], "expectation_value": -2.4356248852359443, "params": [[[1.5618, -0.0013000000000000002], [-0.3267, 0.012], [-0.5101, 0.0176], [1.3615000000000002, 0.5195000000000001], [-0.0724, 1.2528000000000001], [0.3462, 0.9123], [-1.0159, 1.0704]], [[0.7859, 0.0267], [-0.31970000000000004, 1.3034000000000001], ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.2... | 15 | 7 | 2 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0110100", "1001010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IZZIIII",
"IIZZIII",
"ZIIZIII",
"ZIZIIII",
"ZIZZIII",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
0
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
dc72488dd6090670edbeccc77e6da35f | min_cut | 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": [0, 1], "expectation_value": -3.553034116255606, "params": [[[0.0, 0.19920000000000002], [0.0012000000000000001, 0.3079], [0.0044, 0.2934], [0.003, 0.3099], [0.4071, 0.0032]], [[-0.0009000000000000001, 0.199], [0.0026000000000000003, 0.3105], [-0.0019, 0.31670000000000004], [0.0006000000000000001, 0.3195], [... | -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 | 4 | {"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]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"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 |
b95be6dbc5fc375936c03ff5c02bb5b2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [578, 579], "expectation_value": -9.811609719257083, "params": [[[2.1018, 0.0066], [-0.0015, 0.0088], [-0.0016, 0.0057], [2.1041000000000003, 0.0029000000000000002], [-0.0025, 0.008], [0.0033, 0.007200000000000001], [0.0032, 0.0012000000000000001], [0.0031000000000000003, 0.007200000000000001], [2.1113, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["0110111100"], "largest_eigenvalue": 31.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.6121102320301186) q[0];
rz(0.007863457458195194) q[0];
rx(-0.02105538997927113) q[1];
rz(-0.209735423066978) q[1];
rx(-0.1695486560766115) q[2];
rz(-0.1339525910482834) q[2];
rx(2.6769885693785627) q[3];
rz(0.12323237828028498) q[3];
rx(-0.0474386743775867) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZIIZIIIII",
"IZIZIIIIII",
"ZIIIIIIIZI",
"ZIIIIIIZII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"IIIZIIZIII",
"IIZIIIZIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-2,
-1.5,
-2.5,
-2.5,
-1.5,
-2,
-2,
-1,
-1.5
] | 0.970158 | [
2.6121102320301186,
0.007863457458195194,
-0.02105538997927113,
-0.209735423066978,
-0.1695486560766115,
-0.1339525910482834,
2.6769885693785627,
0.12323237828028498,
-0.0474386743775867,
0.04827041036901171,
-0.02445590251609169,
0.3756776873022502,
-0.11952157833031277,
0.150007335450158... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 10 |
eedfffae46889ceabb09be93decddfde | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [100, 27], "expectation_value": -0.04944338633427933, "params": [[-0.0333], [0.0453]], "bitstrings": ["0011011", "1100100"], "total_optimization_steps": 10, "probabilities": [0.008167947978468584, 0.008214680636211075], "optimization_time": 1.3150267601013184} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(6) + -1.5 * Z(1) + -0.5 * Z(3) + 0.0 * Z(5) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(4.217220369268761e-08) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(4.217220369268761e-08) q[1];
cx q[2], q[1];
rz(1.2027812523740522e-08) q[2];
rx(1.5707964081955679) q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[0], q[6];
rz(4.21722036... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q[6]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"ZIIIIIZ",
"IIIIZZI",
"ZIIIIZI",
"IIIZIZI",
"IZIIIZI",
"ZIZIIII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-1.5,
-0.5,
0,
-0.5
] | 0.555556 | [
4.217220369268761e-8,
1.2027812282288794e-8,
1.5707961882202157,
1.570796334854686,
-1.5707962765535362,
1.570796408195568
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 169 |
71bc29fb36488a293ce19bf05d480b6c | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [14, 7], "expectation_value": -11.896620911381653, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 62, "probabilities": [0.2659414976749875, 0.3663991039278829], "optimization_time": 72.52128982543945} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 15 | 7 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6612840374081045) q[0];
rz(-pi) q[1];
ry(-0.03150573110831684) q[1];
h q[2];
ry(-0.43599685318391757) q[2];
h q[3];
h q[4];
ry(1.546350830551531) q[4];
h q[5];
cx q[5], q[2];
ry(0.43599685318391757) q[2];
cx q[5], q[2];
cx q[5], q[0];
ry(0.6612840374081045... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.25,
-3.75,
-3.25,
-3.25,
-3.25,
-2.75,
-3,
-3.25
] | 0.972365 | [
-1.523491197219107,
-0.20073046165090452,
-0.8719937063678351,
1.546350830551531,
-1.322568074816209,
0.7336476421619882,
-0.5561918284302394,
1.2696012849732945,
-0.16936496001740498,
0.30413099721442094,
-0.6531582873808613,
0.3365504327496698,
-0.7065468577519943,
0.3133726368643047,
... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 71 |
58927404864b316a7a7c3805d96a54c5 | 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": 3}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "s... | {"states": [25, 157], "expectation_value": -8.54403379804964, "params": [[-0.1512, -0.0925], [0.1709, 0.17200000000000001]], "bitstrings": ["111100110", "101100010"], "total_optimization_steps": 20, "probabilities": [0.024888376038215476, 0.030808280058566985], "optimization_time": 4.216492176055908} | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(8) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(7)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-16.75, -16.75, -16.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -15.75, "smallest_bitstrings": ["101100010", "111100110", "111100010"], "largest_eigenvalue": 19.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.08852221454871459) q[0];
rz(1.4850305891108242) q[0];
rx(-0.022460498049271173) q[1];
rz(-1.2119263256872301) q[1];
rx(0.0036018593934876234) q[2];
rz(0.6680531664906) q[2];
rx(0.003601859393487624) q[3];
rz(1.1010038153947903) q[3];
rx(1.1101477110823375) 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIIZIII",
"ZIIIZIIII",
"IZIIZIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IZIZIIIII",
"IIIZZIIII",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IZIIIIIII",
"IIIIZIIII",
"... | [
-1,
1.25,
-1.5,
-2.75,
-0.25,
-0.5,
-1.25,
-1.5,
-0.75,
-0.5,
-0.75,
-1,
-0.25,
-1,
-2,
-0.25,
0.75,
-0.5,
-1,
-2.5,
2.25,
-0.25,
3.5
] | 0.972394 | [
-0.0885222145487146,
1.0881884443741296,
-0.022460498049271173,
-0.7092743797278183,
0.0036018593934876234,
1.2418359084736181,
1.1036348045591202,
1.1101477110823375,
0.06106459732284491,
1.3559333559132691,
0.05674914092623268,
0.16301984510572173,
0.7644558023851116,
-0.2009512409085926... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 5 |
6032940321691925985 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 5, 1], [8, 5, 7], [0, 3], [3, 5, 6], [9, 2, 4, 1], [8, 4], [1, 5, 6], [8, 1, 2, 3], [8, 9, 2, 3], [0, 9, 4, 7], [9, 7, 1, 6], [0, 4, 5, 7], [8, 9, 7]]} | {"states": [501, 373], "expectation_value": -3.428114739185813, "params": [0.31220000000000003, 0.2721, 1.5717, 1.5702, 1.5497, 1.409, 1.5843, 1.5804, 1.2802, 1.2052, 1.5508000000000002, 1.5784, 0.5562, 0.5482, 1.5650000000000002, 1.5789, 1.5845, 1.5808, 1.5804, 1.5823, 0.1771, 1.5751000000000002, 1.5842, 0.49920000000... | 0.3333333333333333 * (Z(8) @ Z(9)) + 0.08333333333333333 * (Z(5) @ Z(9)) + 0.25 * (Z(5) @ Z(8)) + 0.25 * (Z(1) @ Z(9)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.25 * (Z(1) @ Z(5)) + 0.3333333333333333 * (Z(7) @ Z(9)) + 0.3333333333333333 * (Z(7) @ Z(8)) + 0.25 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.0... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.9166666666666674], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.833333333333334, "smallest_bitstrings": ["1010001010"], "largest_eigenvalue": 12.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.008745373084223837) q[0];
rz(pi/2) q[0];
ry(1.410682742850904) q[1];
ry(1.6643471191188013) q[2];
ry(1.3947200166160234) q[3];
ry(1.702051672728824) q[4];
ry(1.6119254405659558) q[5];
ry(0.06021442345712694) q[6];
ry(1.7958349042186597) q[7];
ry(1.5592369801420471... | OPENQASM 3.0;
include "stdgates.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": []} | [
"ZZIIIIIIII",
"ZIIIZIIIII",
"IZIIZIIIII",
"ZIIIIIIIZI",
"IZIIIIIIZI",
"IIIIZIIIZI",
"ZIZIIIIIII",
"IZZIIIIIII",
"IIZIZIIIII",
"IIZIIIIIZI",
"ZIIIIIIIIZ",
"IIIIZIIIIZ",
"IIZIIIIIIZ",
"ZIIIIIZIII",
"IZIIIIZIII",
"IIIIZIZIII",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"ZIIZIIIIII",
"IIIZZIIIII"... | [
0.3333333333333333,
0.08333333333333333,
0.25,
0.25,
0.16666666666666666,
0.25,
0.3333333333333333,
0.3333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.083333333... | 0.972241 | [
0.008745373084223837,
1.410682742850904,
1.6643471191188013,
1.3947200166160234,
1.702051672728824,
1.6119254405659558,
0.06021442345712694,
1.7958349042186597,
1.5592369801420471,
1.6626023024536485,
0.20836223130570874,
-0.24240344035377323,
0.19902038667104696,
1.1386795710023034,
-0.... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -3.9166666666666674,
"target_ratio": 0.97,
"target_value": -3.7991666666666672
} | 16 |
78fa1de4f4a21ed4fe88b300377e8f4a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [58, 57], "expectation_value": -4.999883762767255, "params": null, "bitstrings": ["1000101", "1000110"], "total_optimization_steps": 31, "probabilities": [1.6414156562294317e-05, 0.9999151816608713], "optimization_time": 31.377305269241333} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000110"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.1304718053592922) q[0];
rz(0.08317965897522939) q[0];
rx(0.2900504482646137) q[1];
rz(-0.18829532181346575) q[1];
rx(0.5890408046485281) q[2];
rz(-0.04048806474972233) q[2];
rx(0.48578622321668796) q[3];
rz(-0.1889192019892203) q[3];
rx(-0.06916883436876675) q[4];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZZIIII",
"ZIZIIII",
"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,
-1.5,
-0.5,
-0.5,
-1.5,
-1,
-0.5
] | 0.973257 | [
-0.1304718053592922,
0.05152563206170092,
0.2900504482646138,
-0.195018097202669,
0.5890408046485284,
-0.0005057222015976623,
0.48578622321668796,
-0.06278194468713005,
-0.06916883436876677,
0.15393805400353994,
0.13914744505617316,
0.03389002351417578,
0.6013866359115193,
-0.1438901959192... | {
"n_parameters": 96,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 12 |
6e37aef8e2f10c2778e28c9dc9b1affa | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [56, 67], "expectation_value": -0.3745790629417728, "params": [[-0.0714], [0.0661]], "bitstrings": ["1000111", "0111100"], "total_optimization_steps": 10, "probabilities": [0.008928725885755311, 0.009266640614199906], "optimization_time": 1.7480003833770752} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111100"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.2775732297863516) q[0];
rz(-0.3305087434857717) q[0];
ry(0.6345449181272201) q[1];
rz(0.15931776173284024) q[1];
cx q[1], q[0];
ry(0.17013468057679076) q[0];
rz(0.23989733092694884) q[0];
ry(-0.09336591035330995) q[1];
rz(-0.3558798878985864) q[1];
ry(0.6843886038... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIIIZZI",
"IIZIZII",
"IIZIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"IZZIIII",
"ZIIIZII",
"ZIIZIII",
"ZIIIIZI",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"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,
0.5,
0.5,
-2,
-0.5,
-1,
-1.5,
-1.5,
-1.5,
-1.5
] | 0.970122 | [
0.2775732297863516,
-0.3305087434857717,
0.6345449181272201,
0.15931776173284024,
0.6843886038977415,
0.19151158251558112,
0.03791266297523649,
-0.4190659203460903,
-0.17971102873783695,
-0.5348340876475711,
-0.07570081925425122,
-0.5629568151206856,
1.1222819806574604,
0.4239342889584007,... | {
"n_parameters": 144,
"n_qubits": 13,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 91 |
b3e6c46187b92b8e35e519545febf9fa | 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": [1158, 1159], "expectation_value": -95.7671078600224, "params": [3.0061, 0.0008, 1.1129, 0.0013000000000000002, 0.1875, 0.0055000000000000005, 2.9930000000000003, 0.007200000000000001, 0.0024000000000000002, 0.0018000000000000002, 0.003, 0.007200000000000001, -0.002, 0.0071, 0.0025, 0.0034000000000000002, 2.... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(5) @ Z(8)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(6) @ Z(9)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(10) @ Z(3)) + 6.0 * Z(0) + 10.0 * Z(1) + 16.0 * Z(3) + 0.5 * Z(2) + 6.0 * Z(8) + -3.0 * Z(5) + 9.0 * Z(9) + -5.0 * Z(6) + 6.0 * Z(10) ... | 18 | 11 | 1 | {"smallest_eigenvalues": [-106.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.0, "smallest_bitstrings": ["01101111000"], "largest_eigenvalue": 143.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(3.039930542685286) q[0];
rz(0.2564282611353592) q[0];
rx(0.41162859501201043) q[1];
rz(-0.042771365669558414) q[1];
rx(-0.11018907514548926) q[2];
rz(0.17499829227533104) q[2];
rx(3.2247400561007833) q[3];
rz(0.42291287409057426) q[3];
rx(-0.03586714016218343) 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, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIZIIZIIIII",
"IZZIIIIIIII",
"IZIIZIIIIII",
"ZIIIIIIIIZI",
"ZIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIZIIIIIIII",
"IIIIIZIIIII",
"IZIIIIIIIII",
"IIIIZIIIIII",
"ZIIIIIIIIII",
"IIIIIIZII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
6,
10,
16,
0.5,
6,
-3,
9,
-5,
6,
-11,
-14.5
] | 0.970364 | [
3.039930542685286,
0.30622994065683246,
0.41162859501201043,
-0.042771365669558414,
-0.11018907514548926,
0.17499829227533104,
3.2247400561007833,
0.42291287409057426,
-0.03586714016218343,
0.01381408045624883,
0.06450009491157807,
-0.13658556791906534,
0.09406575931843361,
-0.030218139261... | {
"n_parameters": 30,
"n_qubits": 11,
"optimal_eigenvalue": -106,
"target_ratio": 0.97,
"target_value": -102.82
} | 9 |
d6991d057b315b177a32f1a4a2aac75c | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [346, 858], "expectation_value": -3.108510813451856, "params": [[[0.6231, 0.0472, 0.0014, 0.0012000000000000001], [0.7486, -0.0656, 0.0531, 0.0015], [-0.15960000000000002, 0.07690000000000001, 0.006, 0.0766], [0.5690000000000001, -0.0322, 0.7001000000000001, 0.0094], [0.0032, -0.0035, 0.01, 0.0007], [0.3709,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 12 | 10 | 3 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.9375, "smallest_bitstrings": ["1000100101", "0010100101", "0101000101", "1000000111", "0100010101", "1100000101", "0100100101"], "largest_eigenvalue": 6.0625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.8721926881825792) q[0];
rz(pi/2) q[0];
ry(0.011994780182612724) q[1];
ry(1.8959561267241176) q[2];
ry(1.622167989491603) q[3];
ry(1.936090818574434) q[4];
ry(1.7222393404414162) q[5];
ry(1.7301073604748325) q[6];
ry(-0.5782804483051742) q[7];
ry(1.405056998412797... | OPENQASM 3.0;
include "stdgates.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",
"IIIIZIIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIIZZIIIZ",
"IIIIZZZIII",
"IIIIZZZIIZ",
"IIIZIIZIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIZZIIZIII",
"IIIIIZIIZI"... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.... | 0.977666 | [
-0.8721926881825792,
0.011994780182612724,
1.8959561267241176,
1.622167989491603,
1.936090818574434,
1.7222393404414162,
1.7301073604748325,
-0.5782804483051742,
1.4050569984127974,
-0.07157364265413833,
-0.009412620610943542,
0.06943085401228247,
1.0178640686710358,
0.0472153602388203,
... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -3.9375,
"target_ratio": 0.97,
"target_value": -3.819375
} | 48 |
-1260524339113921665 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 5, 7], [0, 4], [8, 9, 2, 1], [8, 3], [9, 7], [2, 3], [0, 1, 2], [0, 9], [0, 6], [1, 2, 7], [3, 7], [8, 1, 5, 0], [3, 5, 6]]} | {"states": [918, 662], "expectation_value": -2.478320535035411, "params": [1.1921000000000002, 0.0376, 1.1957, 0.0083, 1.1301, 0.1107, 1.1035000000000001, 0.0001, 1.1986, -0.0771, 1.1943000000000001, 0.0089, 0.5362, 0.4066, 0.5319, 0.0056, 0.3845, -0.39780000000000004, 0.3826, 0.0033, 1.2046000000000001, -0.1068, 1.204... | 0.25 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(... | 5 | 10 | 1 | {"smallest_eigenvalues": [-4.916666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.250000000000001, "smallest_bitstrings": ["0101101001"], "largest_eigenvalue": 9.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.4832039823437795) q[0];
rz(0.020477411274367974) q[0];
rx(0.49405250088846026) q[1];
rz(1.9390733801550706) q[1];
rx(1.5530328919287102) q[2];
rz(-0.09426807124788361) q[2];
rx(0.005601283869350743) q[3];
rz(2.1159020844759038) q[3];
rx(-0.13187415010135117) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZI",
"IIZIZIIIII",
"IIZIIIIIZI",
"IIIIZIIIIZ",
"IIIIIIIIZZ",
"IIIIIZIIIZ",
"IZIIZIIIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIIIZZI",
"IIZIIIIZII",
"IIIIIIIZIZ",
"IZIIIIIZII",
"ZIIIIIIZII",
"IIIIZIZIII",
"IIZIIIZIII"... | [
0.25,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.25,
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.08333333333333333,
0.41666666666666663,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08... | 0.975774 | [
0.4832039823437795,
-0.017005810816444214,
0.4940525008884603,
1.7050256342837993,
1.5530328919287102,
-0.11887036642475834,
0.005601283869350743,
1.3931595649938882,
-0.13187415010135117,
-1.3852416118933821,
1.8105505023438568,
0.3532233228980925,
0.17623121812594167,
-1.539848805994786,... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -4.916666666666665,
"target_ratio": 0.97,
"target_value": -4.769166666666665
} | 78 |
1cf62c7ab33fc7566dad05641a882509 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [2749, 2750], "expectation_value": -2.379318036096714, "params": [[[0.771, 0.0054], [0.041100000000000005, 0.0095], [0.8509, 0.1462], [0.2861, 0.0891], [0.7694000000000001, 0.22560000000000002], [0.0775, 0.41550000000000004], [0.09870000000000001, 0.8953000000000001], [0.2958, 0.5351], [0.6148, 0.5171], [-0.... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(4) @ Z(2)) + -0.125 * (Z(0) @ Z(4) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(4) @ Z(2... | 15 | 12 | 3 | {"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, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 35, "first_excited_energy": -2.5, "smallest_bitst... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.5205687494505836e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-3.5205687494505836e-08) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-3.5205687494505836e-08) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-3.520568749... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIZZIZ",
"IIIIIIIZIZIZ",
"IIIIIIIZZIIZ",
"IIIIIIIZZZII",
"IIIIIIIZZZIZ",
"IIIIIIZIIZII",
"IIIIIZIIIZII",
"IIIIIZZIIIII",
"IIIIIZZIIZII",
"IIIIZIIIZIII",
"IIIZIIIIZ... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
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... | 0.727273 | [
-3.5205687494505836e-8,
1.5707963620190255,
-1.570796337047965,
1.1245655931830818e-8,
1.5707962720945496
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 160 |
94dd9c8568f88dcb3e4d7e2fe1b8d82a | 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": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [63, 1], "expectation_value": -1.0744691669621553, "params": [[-0.054700000000000006, -0.031, -0.0344], [0.0738, 0.045700000000000005, 0.044500000000000005]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.013820776141438994, 0.013915686253147663], "optimization_tim... | -0.5 * (Z(0) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(6) + -0.5 * Z(1) + -0.25 * Z(2) + -1.75 * Z(5) + 2.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1000000", "1111110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.01696964563984058) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.6257158851690002) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.8826680353858664) q[2];
cx q[3], q[2];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.44149109525872793) q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIIIIZ",
"IIIZIZI",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IIZIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"IIZIIII"
] | [
-0.5,
0.75,
-1.25,
-0.5,
-1,
-0.25,
-0.75,
-1,
-1.5,
0.5,
-0.25,
0.25,
-0.5,
-0.25,
-1.75,
2
] | 0.872663 | [
0.01696964563984058,
0.12295109747947061,
0.6257158851690002,
0.8826680353858664,
0.5860523152796467,
0.44149109525872793,
0.33128169600839774,
0.2852731024582777,
-1.0288623657695086,
0.5339911888699572,
-0.13975071708561476,
1.1869116100653803,
0.04328033325172488,
-0.8178563442900494,
... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 500 |
4ab3a9f98a5ea141820b159d6cb4ba53 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, ... | {"states": [0, 1], "expectation_value": -7.572375931910472, "params": [0.0009000000000000001, 0.43920000000000003, 0.0024000000000000002, 0.5999, 0.0029000000000000002, 0.5920000000000001, 0.0028, 0.5314, 0.0025, 0.5132, 0.0028, 0.5901000000000001, 0.0026000000000000003, 0.6064, 0.8103, 0.0018000000000000002, 0.0011, 0... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(6) @... | 3 | 8 | 2 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.0013706428279065723) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.00010981936015503954) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.0013706428279065723) q[1];
cx q[4], q[1];
cx q[4], q[3];
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": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIIZZIII",
"IIZIZIII",
"IIIIZIZI",
"ZIIIIIIZ",
"ZIZIIIII",
"ZIIIIIZI",
"IIIZIZII",
"IIIIIZZI",
"IZZIIIII",
"IZIIIZII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IZIIIII... | [
-0.5,
-0.25,
-1,
-0.5,
-0.75,
-0.75,
-0.25,
-1,
1.75,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
1.5,
-0.25,
-2,
0.25,
-0.5,
0.75,
0.25,
0
] | 0.888779 | [
-0.0013706428279065723,
-0.00010981936015503954,
-0.34349356379920065,
0.00130053351478626,
-0.04402465492122473,
0.3214620856398223,
-1.3872688537466278,
1.3541775381691896,
1.2769370230312556,
0.2943504933839812,
-1.6935386960659888,
-0.0012981114320172187,
-0.0032326859986172365,
-1.409... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 500 |
-234329353063358157 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 6], [0, 1, 2, 3, 4, 5], [0, 1, 2, 3, 4, 6, 7], [2, 3, 4, 5, 7]]} | {"states": [186, 122], "expectation_value": -0.23101446624857483, "params": [[-0.25930000000000003], [0.26630000000000004]], "bitstrings": ["01000101", "10000101"], "total_optimization_steps": 30, "probabilities": [0.005704172316381029, 0.005704172316381031], "optimization_time": 3.4538521766662598} | 0.5 * (Z(5) @ Z(6)) + 0.023809523809523808 * (Z(0) @ Z(6)) + 0.03333333333333333 * (Z(0) @ Z(5)) + 0.023809523809523808 * (Z(1) @ Z(6)) + 0.03333333333333333 * (Z(1) @ Z(5)) + 0.05714285714285714 * (Z(1) @ Z(0)) + 0.023809523809523808 * (Z(2) @ Z(6)) + 0.08333333333333334 * (Z(2) @ Z(5)) + 0.05714285714285714 * (Z(2) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.0904761904761904, -1.0904761904761904], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0571428571428572, "smallest_bitstrings": ["10000101", "01000101"], "largest_eigenvalue": 3.4999999999999996} | 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];
cx q[6], q[5];
rz(-1.561990056928649) q[5];
cx q[6], q[5];
cx q[6], q[0];
rz(0.10424429656047235) q[0];
cx q[6], q[0];
cx q[5], q[0];
rz(-0.08604918290923019) q[0];
cx q[5], q[0];
cx q[6], q[1];
rz(0.10424429656047... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IZZIIIII",
"IZIIIIIZ",
"IIZIIIIZ",
"IZIIIIZI",
"IIZIIIZI",
"IIIIIIZZ",
"IZIIIZII",
"IIZIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IZIIZIII",
"IIZIZIII",
"IIIIZIIZ",
"IIIIZIZI",
"IIIIZZII",
"IZIZIIII",
"IIZZIIII",
"IIIZIIIZ",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"ZZIIIIII",
"ZIZIIII... | [
0.5,
0.023809523809523808,
0.03333333333333333,
0.023809523809523808,
0.03333333333333333,
0.05714285714285714,
0.023809523809523808,
0.08333333333333334,
0.05714285714285714,
0.05714285714285714,
0.023809523809523808,
0.08333333333333334,
0.05714285714285714,
0.05714285714285714,
0.1071... | 0.88905 | [
-1.561990056928649,
0.10424429656047235,
-0.08604918290923019,
-0.1154714603610035,
-0.12311986816561989,
-0.3895155874869657,
-0.08491837527228809,
-0.14404542405675205,
0.07824806616870042,
-0.07908879396002985,
-1.3972881119173737,
-0.5906747210879046,
-1.4383759864270675,
0.83256480988... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -1.0904761904761904,
"target_ratio": 0.97,
"target_value": -1.0577619047619047
} | 423 |
e29bfda33a1d7f43206bf01d0ef0c119 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "... | {"states": [3960, 4088], "expectation_value": -1.956996930897868, "params": [[0.07440000000000001], [-0.0673]], "bitstrings": ["000010000111", "000000000111"], "total_optimization_steps": 10, "probabilities": [0.0004684078774453114, 0.0004852201626338137], "optimization_time": 3.5569190979003906} | -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)) + -1.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(8)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.0, "smallest_bitstrings": ["000000000111"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6760414157611511) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.6760414157611511) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.12342633440920707) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.6760414157611511) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0... | {"node": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIII... | [
-2.5,
-2.5,
0.5,
-2.5,
0.5,
-1.5,
-2.5,
0.5,
0.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1
] | 0.550153 | [
-0.6760414157611511,
-0.12342633440920707,
-1.1321214278680807,
-0.7007872687284011,
-1.268838784335187,
-0.21287944484350652,
-0.9787581622068204
] | {
"n_parameters": 7,
"n_qubits": 12,
"optimal_eigenvalue": -25,
"target_ratio": 0.97,
"target_value": -24.25
} | 192 |
f15718e6d4296c5c025e3fcbce33b7f7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"sour... | {"states": [248, 216], "expectation_value": -3.5700114337160276, "params": [0.11950000000000001, 0.116, 0.4037, 0.40950000000000003, 0.40030000000000004, 0.39380000000000004, 0.39330000000000004, 0.3957, 0.4097, 0.4016, 0.4025, 0.4086, 0.1356, 0.13970000000000002, -0.0053, -0.0019, -0.004200000000000001, -0.0043, 0.118... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(6) + -1.5 * Z(7) + ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["101010011", "100110011", "101000111", "011000111", "010100111", "100100111", "110110001"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.20160644853656157) q[0];
rz(-0.0588750856899241) q[0];
ry(0.9967511972665292) q[1];
ry(0.6331741581808028) q[2];
ry(0.31168246705772396) q[3];
ry(0.6842261289706837) q[4];
ry(0.9155427382050754) q[5];
ry(-0.2334276068884334) q[6];
ry(-0.22993636919363894) q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIZIIIIIZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIZIII",
"IIIIIZZII",
"ZIZIIIIII",
"ZIIIIZIII",
"ZIIIIIZII",
"IIZIZIIII",
"IZIIZIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"IZIIIIIII",
"IIIIIZIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIZIIII",
"IIIZIIIII"
] | [
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,
-1.5,
-1,
-0.5,
-1.5,
-0.5,
0
] | 0.974683 | [
0.20160644853656157,
0.9967511972665292,
0.6331741581808028,
0.31168246705772396,
0.6842261289706837,
0.9155427382050754,
-0.2334276068884334,
-0.22993636919363894,
0.03896689465705784,
-0.1177501713798482,
-0.29622975370502386,
0.015496629170842983,
-0.26585297703025684,
0.073930646034441... | {
"n_parameters": 69,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 18 |
887595949ae6925e33a681a58519a274 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [15642, 15674], "expectation_value": -46.74422944022387, "params": [0.4269, 0.7335, 0.43310000000000004, 0.739, 1.8764, 0.011600000000000001, 1.5651000000000002, -0.0018000000000000002, 1.5690000000000002, -0.005, 0.9693, 0.0016, 0.0029000000000000002, 1.4172, 1.5747, 0.0007, -0.0028, 1.4108, -0.002400000000... | 2.0 * (Z(2) @ Z(3)) + 2.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -1.0 * (Z(6) @ Z(8)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(9) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @ Z(4)) + 1.0 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(5)) + -1.... | 18 | 16 | 2 | {"smallest_eigenvalues": [-48.74999999999992], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.74999999999929, "smallest_bitstrings": ["1100001011000101"], "largest_eigenvalue": 170.25000000000048} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.13984682369290952) q[0];
rz(1.5938811126123158) q[0];
ry(0.7610427262618326) q[1];
rz(0.07031768406246493) q[1];
cz q[1], q[0];
ry(0.3140276442107706) q[0];
rz(0.7636300721559677) q[0];
ry(-1.0156869910184512) q[1];
ry(0.4264636834722848) q[2];
rz(0.0552000000090... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZZIII",
"IIIIIIIIIIIZIZII",
"IIIIIIIZIIIIZIII",
"IIIIIIIZIIIIIZII",
"IIIIIIIZIIIZIIII",
"IIIIIIIZIIZIIIII",
"IIIIIIIZIZIIIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIZIIIIIZIII",
"IIIIIIZIIIIIIZII",
"IIIIIIZIIIIZIIII",
"IIIIIIZZIIIIIIII",
"IIIIIIZIIIZIIIII",
"IIIIIIZ... | [
2,
2,
1,
-1,
-0.5,
-0.5,
-0.5,
-1,
2,
-1,
-0.5,
-0.5,
1,
-0.5,
-1,
-0.5,
0.5,
1,
-0.5,
1,
0.5,
0.5,
-0.5,
-0.5,
1,
0.5,
0.5,
-0.5,
-0.5,
0.25,
1,
0.5,
0.5,
-0.5,
-0.5,
-1,
-0.5,
0.5,
0.5,
2,
1,
1,
-1,
-1,
-2,
-1,
1,
1,
2... | 0.973359 | [
-0.13984682369290952,
1.5938811126123158,
0.7610427262618326,
0.07031768406246493,
0.4264636834722848,
0.05520000000902982,
0.7598598941311168,
-0.005774750135631135,
0.5747719579600107,
0.05223522100477087,
-0.036998059032669756,
1.8760773287378025,
0.023285197553815994,
0.457270073551858... | {
"n_parameters": 126,
"n_qubits": 16,
"optimal_eigenvalue": -48.74999999999992,
"target_ratio": 0.97,
"target_value": -47.28749999999992
} | 20 |
8c44c442a25e00dfae4e1647b2faf79f | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [2, 3], "expectation_value": -3.7192477611620056, "params": [[[0.39740000000000003, 0.08990000000000001], [0.2016, -0.19310000000000002], [0.20270000000000002, -0.19360000000000002], [0.5935, 0.0027], [0.5992000000000001, -0.0027]], [[0.3962, 0.0898], [0.1988, -0.1927], [0.1995, -0.19360000000000002], [0.601... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
1.75,
2,
2,
1.75,
-2.75,
-2.5,
-2.75,
-2.5,
-2.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
58f2180ba6d9be6eae82fcbd77eed4c9 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 9},... | {"states": [0, 1792], "expectation_value": -33.0838983945714, "params": [-1.0359, -0.9034000000000001, -0.003, -0.0015, 0.0036000000000000003, -0.008, -0.0026000000000000003, -0.0025, -0.0026000000000000003, -0.0026000000000000003, -0.0027, -0.0023, -0.0025, -0.0025, -0.0022, -0.0025, -0.0021000000000000003, -0.0029000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(5)) + 1.0 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(3)) + 1.0 * (Z(9) @ Z(5)) + -3.0 * (Z(9) @ Z(3)) + 1.0 * (Z(9) @ Z(8)) + 1.0 * (Z(10) @ Z(5)) + -3.5 * (Z(10) @ Z(3)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + -3.5 * (Z(4) @ Z(5)) + 1... | 14 | 11 | 1 | {"smallest_eigenvalues": [-35.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["00011111111"], "largest_eigenvalue": 48.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-1.2693475545317798) q[0];
rz(pi/2) q[0];
ry(-0.2874418871047527) q[1];
ry(0.3238371278994494) q[2];
ry(0.011838344967576613) q[3];
ry(0.011838344967576613) q[4];
ry(-0.0730339721311416) q[5];
ry(-0.012664994594084763) q[6];
ry(-0.007957661282536723) q[7];
ry(0.0307... | OPENQASM 3.0;
include "stdgates.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": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIZIZIII",
"IIZIIZIIIII",
"IIZIIIIZIII",
"IZIIIZIIIII",
"IZIIIIIZIII",
"IZZIIIIIIII",
"ZIIIIZIIIII",
"ZIIIIIIZIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIZZIIII",
"IIIIIIZZIII",
"IIZIIIZIIII",
"IZIIIIZIIII",
"ZIIIIIZIIII",
"IIIIZZIII... | [
-1.5,
0.5,
-1.5,
-3.5,
1,
-3,
1,
-3,
1,
1,
-3.5,
0.5,
0.5,
-3.5,
1,
0.5,
0.5,
-3.5,
0.5,
0.5,
-2.5,
-3,
1,
0.5,
0.5,
1,
-3,
-2.5,
0.5,
0.5,
0.5,
-3,
2,
-3,
-3,
1,
-3.5,
1.5,
-3
] | 0.97116 | [
-1.2693475545317798,
-0.2874418871047527,
0.3238371278994494,
0.011838344967576613,
-0.0730339721311416,
-0.012664994594084763,
-0.007957661282536723,
0.03071416258131042,
-0.12614866820274184,
-0.10961387978787893,
-1.4537528190281366,
0.1298137896409342,
2.1664934215859843,
2.08144190814... | {
"n_parameters": 39,
"n_qubits": 11,
"optimal_eigenvalue": -35,
"target_ratio": 0.97,
"target_value": -33.949999999999996
} | 20 |
a603da1a0fa48a0c889ceccbdae517d6 | 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": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [56, 35], "expectation_value": -0.6147776031958856, "params": [[0.061500000000000006, 0.0631, 0.0494, 0.0597], [-0.0514, -0.0616, -0.0461, -0.050100000000000006]], "bitstrings": ["1000111", "1011100"], "total_optimization_steps": 10, "probabilities": [0.01359298651241247, 0.013592986512412471], "optimization... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000111", "0111100", "0110101", "1010101", "0101011", "1011100", "0100111", "0111010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.12013546374620043) q[0];
rz(-2.7657142779613313) q[0];
rx(2.422375160516799) q[1];
rz(1.7107104948808987) q[1];
rx(2.971844809689707) q[2];
rz(1.9173206430283765) q[2];
rx(-0.06343407625664142) q[3];
rz(1.7368643240472572) q[3];
rx(1.8818951710672067) q[4];
rz(1.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IZZIIII",
"IZIIZII",
"ZIIIZII",
"IIZZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.97452 | [
-0.12013546374620043,
1.946674702423359,
2.422375160516799,
0.1399141680860021,
2.971844809689707,
0.3465243162334797,
-0.0634340762566414,
0.16606799725235954,
1.8818951710672067,
0.02925917178505204,
2.866478378027777,
0.8664717337629608,
0.26591522697777975,
1.2093847600605423,
-1.709... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 15 |
0c36283121e8c25f75256b89b8ad4f89 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target":... | {"states": [396, 384], "expectation_value": -2.1750647604910656, "params": [[0.0685], [-0.0582]], "bitstrings": ["001110011", "001111111"], "total_optimization_steps": 10, "probabilities": [0.0030568089487869525, 0.0031400634411112346], "optimization_time": 3.348651885986328} | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + 1.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(4)) + -3.5 * (Z(8) @ Z(3)) + 1.5 * (Z(8) @ Z(2)) + -3.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 *... | 5 | 9 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["001111111"], "largest_eigenvalue": 43.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.638822702751636) q[0];
cx q[1], q[0];
rz(-0.07776755994511442) q[0];
rx(-0.962012343407071) q[0];
rz(-0.07776755994511442) q[1];
rx(-0.962012343407071) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.5680636881758625) q[2];
cx q[3], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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],... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IZIIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIIZIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIZIIZII",
"ZIIZIIIII",
"IIZIIZIII",
"IIZIZIIII",
"ZIZIIIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"... | [
-1,
-3,
1.5,
-3,
-2.5,
1,
-2.5,
-3.5,
1.5,
-3.5,
1,
0.5,
1,
0.5,
0.5,
-3,
-2,
0.5,
0.5,
1.5,
-2.5,
1.5,
0.5,
-3,
-2,
1.5
] | 0.614806 | [
-1.638822702751636,
-0.5680636881758625,
-0.311753831837824,
-0.7293136013734619,
-0.33699145614501813,
-0.5403635621375146,
-0.07776755994511428,
-0.9097872087731514,
-0.962012343407071
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 244 |
62d59a2c57c5a5e03bc57aa993d43fe2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [47, 46], "expectation_value": -2.885844451576202, "params": [-0.0016, -0.0016, -0.0036000000000000003, -0.0018000000000000002, 1.4596, 1.4572, 0.0025, 0.0018000000000000002, 1.4202000000000001, 1.4203000000000001, 1.4967000000000001, 1.504, 0.9806, 0.9682000000000001, 0.7423000000000001, 0.7455, 0.4158, 0.0... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(7... | 13 | 8 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.375, "smallest_bitstrings": ["10110001", "11010001", "11001100", "11011000", "11010010", "11110000"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.0525935599156801) q[0];
rz(0.2970493753315515) q[0];
ry(-0.05280238195070901) q[1];
ry(1.9145293619602348) q[2];
ry(0.11896541183831788) q[3];
ry(1.6776262128736183) q[4];
ry(1.5989812940360673) q[5];
ry(1.6042391584874556) q[6];
ry(0.26475625811985654) q[7];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IZZIIIIZ",
"IIZIZIII",
"ZIIIIIZI",
"IIIZIZII",
"IZIIIZII",
"ZIIIIZII",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"IZIZIZII",
"ZIIZIZII",
"ZZIIIZII",
"ZZIZIIII",
"ZZIZIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.75,
-0.5,
-0.125,
-0.5,
-0.125,
-0.25,
0.125,
-0.125
] | 0.981549 | [
-0.0525935599156801,
-0.05280238195070901,
1.9145293619602348,
0.11896541183831788,
1.6776262128736183,
1.5989812940360673,
1.6042391584874556,
0.26475625811985654,
0.594098750663103,
-0.5369054493384858,
-0.1577385704159672,
0.24970879240192104,
0.9304805543958563,
0.24429898188147828,
... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 12 |
-6842005225108010706 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 11, 5], [10, 3, 5], [0, 2, 3, 7], [9, 11], [1, 4], [8, 9, 10, 1], [0, 5], [9, 2, 3], [8, 10, 6], [10, 11, 4, 7], [3, 1, 11, 7], [10, 2, 5], [8, 6, 7], [0, 2, 3, 6], [8, 1, 2]]} | {"states": [2882, 3042], "expectation_value": -2.11642981147321, "params": [[[1.1542000000000001, 2.1421], [2.0318, 1.2527000000000001], [-0.1531, 1.0511000000000001], [0.0031000000000000003, 0.1892], [1.5723, 1.5676], [1.4357, 1.5739], [-1.5684, 1.5693000000000001], [-0.0106, 1.5750000000000002], [0.2952, 0.2341], [0.... | 0.16666666666666666 * (Z(10) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(10)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(10)) + 0.3333333333333333 * (Z(2) @ Z(7)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @... | 15 | 12 | 1 | {"smallest_eigenvalues": [-4.583333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.499999999999999, "smallest_bitstrings": ["010000011101"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.07314266914384171) q[0];
ry(3.1212789463318127) q[1];
ry(0.0032658701275050175) q[2];
ry(0.20895710419791907) q[3];
ry(2.92608748137202) q[4];
ry(0.10814098013220955) q[5];
ry(-0.030389290985627745) q[6];
ry(-0.07693609463314777) q[7];
ry(0.03223580417011528) 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": []} | [
"IZIIIIIIZIII",
"IIIIZIIIZIII",
"IZIIZIIIIIII",
"IIIIIIIIZZII",
"IZIIIIIIIZII",
"IIIIZIIIIZII",
"IIIIIIZIZIII",
"IIIIZIZIIIII",
"IIIIIIZIIZII",
"IIIIZIIIIIIZ",
"IIIIIIZIIIIZ",
"IZIIIIIZIIII",
"IIIIZIIZIIII",
"IIIIIIIZIZII",
"IIIIIIZZIIII",
"IIIIIIIZIIIZ",
"IIZIIIIIZIII",
"IZZIIIIII... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.25,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16... | 0.973428 | [
0.07314266914384171,
3.1212789463318127,
0.0032658701275050175,
0.20895710419791907,
2.92608748137202,
0.10814098013220955,
-0.030389290985627745,
-0.07693609463314777,
0.03223580417011528,
0.9379792269112952,
-0.09623542455403672,
0.031113592186313273,
3.2744950901980787,
-0.1395145951010... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -4.583333333333333,
"target_ratio": 0.97,
"target_value": -4.445833333333333
} | 391 |
ee0f00774b6823d75df9b3d1e8947ebf | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [6, 65], "expectation_value": -1.9788921825761858, "params": [[-0.047900000000000005, -0.0511, -0.0446, 0.0284], [0.0666, 0.0654, 0.0655, 0.0235]], "bitstrings": ["1111001", "0111110"], "total_optimization_steps": 10, "probabilities": [0.014087332424083636, 0.014087332424083639], "optimization_time": 8.97397... | 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(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111110", "1011011", "1010111", "0011111", "1111001", "1001111"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.1787346229022353) q[0];
rz(1.85169983106438) q[0];
rx(0.6446082778184011) q[1];
rz(1.5337435650242206) q[1];
rx(0.13258855509394268) q[2];
rz(1.742289834858898) q[2];
rx(0.5349338935732003) q[3];
rz(1.4181180172739278) q[3];
rx(0.6230789562836189) q[4];
rz(1.533743... | OPENQASM 3.0;
include "stdgates.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",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
-1.5,
-2,
-0.5,
-2
] | 0.972431 | [
0.1787346229022353,
0.28090350426948285,
0.6446082778184011,
-0.037052761770675964,
0.13258855509394268,
0.17149350806400154,
0.5349338935732003,
-0.1526783095209684,
0.6230789562836189,
-0.03478400855838438,
0.05603757244408017,
-0.07156855077521751,
0.19573188402464922,
-0.39890063889249... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 9 |
f099da2cca44af333dfb81e09032822f | 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": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [323, 327], "expectation_value": -5.561773396575033, "params": [[[0.8064, 0.0031000000000000003], [-0.0035, -0.4186], [0.8056000000000001, -0.0015], [-0.0151, -0.38880000000000003], [0.0018000000000000002, -0.4168], [0.1457, 0.3272], [0.7913, -0.0022], [0.8039000000000001, 0.0009000000000000001], [0.8025, 0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["010111000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.987234389937048) q[0];
ry(2.593163524972309) q[0];
rz(-1.2498228485533796) q[0];
rz(0.9285964368570134) q[1];
ry(0.11308442630087848) q[1];
rz(-1.5524564722667402) q[1];
rz(2.6808513997426946) q[2];
ry(2.832468321597414) q[2];
rz(-0.9018848932692078) q[2];
rz(-1.92... | OPENQASM 3.0;
include "stdgates.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",
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIZZIIII",
"IIIIZIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IIIIIZZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-2,
-2,
-1.5,
-1,
-0.5,
0
] | 0.971888 | [
0.3545305017039303,
0.27642604159209805,
-0.002686044982803587,
-0.6282996754118448,
1.0519102992831564,
0.2957742973296429,
-0.04990483907987246,
-0.7700859495112119,
-0.1815243214246524,
-0.5434547314690426,
-0.2917635239306378,
0.2480628800889803,
1.676311753280283,
0.24714343241486658,... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 24 |
18eef7556e7c99f2056daf5370482c12 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 5}, {"weight": 18, "source": 1, "tar... | {"states": [235, 234], "expectation_value": -28.679365711424673, "params": [[0.0261, -0.009600000000000001, 0.0021000000000000003], [-0.0852, -0.0614, -0.060700000000000004]], "bitstrings": ["100010100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.006330286906487858, 0.00814883693433962], "optimiz... | 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(3) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 170.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.910725201830011) q[0];
rz(-pi) q[0];
h q[1];
ry(14.226814631084332) q[1];
rz(-pi) q[2];
ry(-2.8276055261302573) q[2];
rz(-pi) q[3];
ry(-0.6037335772354969) q[3];
h q[4];
ry(-2.503200618475903) q[5];
rz(-pi) q[5];
cx q[1], q[5];
ry(-0.634351839760383) q[5];
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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"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,
15,
5.5,
23.5,
18,
0.5,
22.5,
13,
5.5,
-1
] | 0.972353 | [
23.579116185633968,
63.12990552371649,
12.80359732253481,
14.226814631084332,
1.268703679520766,
-17.389883838771233,
4.50366295300341,
0.28630146122490274,
2.0891079396670342,
-41.664855259309064,
-18.144190662538225,
50.08291549902295,
-0.7897217290145451,
6.876816994677622,
49.5161117... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -89,
"target_ratio": 0.97,
"target_value": -86.33
} | 104 |
-5440079155544710673 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2], [4, 5], [1, 2], [3, 4]]} | {"states": [50, 53], "expectation_value": -1.7289010002893974, "params": null, "bitstrings": ["001101", "001010"], "total_optimization_steps": 37, "probabilities": [0.05102666925162336, 0.7114661410055767], "optimization_time": 24.821195125579834} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["110010", "110101", "001101", "001010"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
ry(-0.5472347912949566) q[2];
cx q[1], q[2];
ry(0.5472347912949566) q[2];
cx q[1], q[2];
ry(-0.2878028769502838) q[2];
cx q[0], q[2];
ry(0.2878028769502838) q[2];
cx q[0], q[2];
ry(1.3144174089321936) q[1];
ry(0.6550783353511412) q[0];
cx q[1], q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIZIZ",
"ZZIIII",
"IIIZZI",
"IZZIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.970264 | [
-1.0944695825899131,
1.3144174089321936,
-0.5756057539005676,
1.3101566707022825,
0.22590160745889717,
-0.4842378473152197,
0.2962008620676822,
-0.08254885800176756,
-0.2644501693459917,
0.15644409791403166,
-0.33324647207278013,
-0.8407219500075362,
-0.2795774372021377,
-0.747048761362961... | {
"n_parameters": 23,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 25 |
4700601e722e5f0a0c40acc2968ffc97 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [10, 12], "expectation_value": -2.474107462142595, "params": null, "bitstrings": ["10101", "10011"], "total_optimization_steps": 13, "probabilities": [0.0739790737679243, 0.9005751343260909], "optimization_time": 5.676852226257324} | 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(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["10011", "11010", "01011", "10101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-1,
0
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
786fc65b0c160b8b65668d1c378820ac | 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": [243, 179], "expectation_value": -77.82970116036402, "params": [-0.0026000000000000003, 0.3768, 0.2659, 0.2891, 0.7030000000000001, 0.0158, 0.342, 0.2038, 0.6988000000000001, -0.0018000000000000002, 0.7032, 0.0298, -0.0044, 0.42910000000000004, -0.008400000000000001, -0.32120000000000004, 0.6886, 0.1573, 0.6... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(0) @ Z(4)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(9) @ Z(8)) + 3.5 * Z(1) + 7.5 * Z(2) + 7.0 * Z(4) + -4.0 * Z(0) + 10.0 * Z(3) + 14.5 * Z(5) + -5.5 * Z(6) + -3.0 ... | 18 | 10 | 4 | {"smallest_eigenvalues": [-95.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["1101001100"], "largest_eigenvalue": 127.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.10512463059287822) q[0];
rz(0.30787380387697194) q[0];
rx(0.20407726414891592) q[1];
rz(0.103563067383978) q[1];
rx(0.6647885200075784) q[2];
rz(0.017418242679020868) q[2];
rx(0.030621995975445862) q[3];
rz(0.2889003242032795) q[3];
rx(0.8832782976358944) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIIIIZII",
"IZIIIIIIZI",
"ZIIIIIZIII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
3.5,
7.5,
7,
-4,
10,
14.5,
-5.5,
-3,
5.5,
17
] | 0.9775 | [
0.10512463059287822,
0.2981853205908014,
0.20407726414891592,
0.103563067383978,
0.6647885200075784,
0.017418242679020868,
0.030621995975445862,
0.2889003242032795,
0.8832782976358944,
0.025849163022936987,
0.9113245494073663,
0.2105387342009302,
-0.010443190252041233,
0.6605613860345696,
... | {
"n_parameters": 118,
"n_qubits": 10,
"optimal_eigenvalue": -95.5,
"target_ratio": 0.97,
"target_value": -92.63499999999999
} | 9 |
6172ec2f30329f156b64312801e66ef4 | 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": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6... | {"states": [39, 47], "expectation_value": -7.209849215427568, "params": null, "bitstrings": ["1011000", "1010000"], "total_optimization_steps": 43, "probabilities": [0.42743550266038083, 0.4274887006346332], "optimization_time": 39.52417540550232} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1010000", "1011010", "1011000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.15321410223109672) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.15321410223109672) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(-0.003386663219578) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.15321410223109672) q... | 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(1.5708) 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", "... | [
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-1.25,
-1.25,
-0.25,
-1,
1.5,
-0.75,
-0.5,
-1.25,
-0.75,
-1.5,
-0.25,
1.75,
-1.5,
-0.25,
1.25,
0.5
] | 0.80901 | [
-0.15321410223109672,
-0.003386663219578,
1.3792064432981384,
1.6536245255120825,
0.007415038342467658,
-0.00033579823225607776,
-0.04906685260021198,
1.5514059338137396,
1.57108267036554,
1.549966787492532,
-1.43906272514929
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 276 |
b2f3c7c6f0d569b26aa5b37b6f864ae9 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3},... | {"states": [0, 1983], "expectation_value": -12.427596885289978, "params": [-0.0151, 2.0093, -0.0055000000000000005, 0.0097, 0.2174, 3.1224000000000003, 0.47040000000000004, 0.0054, 0.09330000000000001, 0.29100000000000004, -0.381, 0.0045000000000000005, -0.5427000000000001, 3.2106000000000003, -0.6391, 0.0067, -0.6478,... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0... | 6 | 11 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["00001000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.7971580737352716) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.06922539707563155) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.7971580737352716) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-1.1443970926578568) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIZZIIIII",
"IIZZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIZIII... | [
-2,
0.5,
-2,
-1.5,
-2,
0.5,
-1,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.553414 | [
-0.7971580737352716,
-0.06922539707563155,
-1.1443970926578568,
-1.630778302118842,
-1.5707963064248545,
-0.9554007555750966
] | {
"n_parameters": 6,
"n_qubits": 11,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 163 |
f20b14ccaf46fd91ed39b9c05edbe906 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 8, "source":... | {"states": [123, 59], "expectation_value": -20.735066195442844, "params": [[-0.0453, 0.0247, -0.0344], [0.07050000000000001, 0.0325, 0.0673]], "bitstrings": ["0000100", "1000100"], "total_optimization_steps": 10, "probabilities": [0.022066845171696367, 0.024067715745784608], "optimization_time": 6.231079339981079} | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(3) @ Z(2)) + 3.0 * (Z(4) @ Z(1)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + 13.0 * Z(1) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-53.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.0, "smallest_bitstrings": ["1000100"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"IZIIZII",
"IZZIIII",
"ZIIIIZI",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
13,
7.5,
15.5,
16,
13,
9,
14
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [1623, 988], "expectation_value": -2.2315063202596312, "params": [[-0.0407, -0.0577, -0.0565, -0.0369], [0.0176, 0.0597, 0.06620000000000001, 0.06280000000000001]], "bitstrings": ["00110101000", "10000100011"], "total_optimization_steps": 10, "probabilities": [0.0014318810030941795, 0.0014318810030941808], "... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 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)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 1 | 11 | 4 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00110101000", "10000100010", "00100101000", "10000100011"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIIZII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
1.5,
1.25,
1.5,
1,
1,
1,
1.25,
1.5,
1.5,
0.25,
0.25
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
4ecc9ed771dcd331d5bd236a08ecb2e8 | 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": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21802, 21930], "expectation_value": -1.689584692078962, "params": [[1.4447, 1.608, 0.2356, 1.5664, 0.2048, 1.5845, 0.20750000000000002, 1.4526000000000001, 0.24630000000000002, 0.2519, 1.6032000000000002, 0.19360000000000002, 1.568, 0.1903, 1.6041, 0.2521], [0.2716, 1.2973000000000001, 0.2107, 1.5703, 0.197... | 0.25 * (Z(0) @ Z(1)) + 0.00017361111111111112 * (Z(2) @ Z(0)) + 0.00017361111111111112 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006944444444444446 * (Z(4) @ Z(0)) + -0.0006944444444444446 * (Z(4) @ Z(2)) + -0.0006944444444444446 * (Z(5) @ Z(1)) + -0.0006944444444444446 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.020052083333296], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.020052083333257, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.0138020833333212} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.4857159058120326) q[0];
ry(1.65345896141985) q[1];
ry(0.049150286872270486) q[2];
ry(1.3916419501757977) q[3];
ry(0.05203213632920689) q[4];
ry(1.598849010244965) q[5];
ry(0.08507393595632984) q[6];
ry(1.2780529619768426) q[7];
ry(-0.2718397714828258) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.00017361111111111112,
0.00017361111111111112,
0.25,
-0.0006944444444444446,
-0.0006944444444444446,
-0.0006944444444444446,
-0.0006944444444444446,
0.25,
-0.0006944444444444446,
-0.0006944444444444446,
-0.0003472222222222223,
-0.0006944444444444446,
-0.0006944444444444446,
-0.000... | 0.971189 | [
1.4857159058120326,
1.65345896141985,
0.049150286872270486,
1.3916419501757977,
0.05203213632920689,
1.598849010244965,
0.08507393595632984,
1.2780529619768426,
-0.2718397714828258,
-0.18888355982837798,
1.7257529901987163,
0.02136160169509732,
1.7892359196427698,
-0.1205440492362277,
1.... | {
"n_parameters": 32,
"n_qubits": 16,
"optimal_eigenvalue": -2.020052083333296,
"target_ratio": 0.97,
"target_value": -1.959450520833297
} | 21 |
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