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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6446c2e39f9d792cb9f32c544e2de260 | 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": 4, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 9, "source": 2, "target": 3}, {"weight": 15, "source": 2, "targ... | {"states": [444, 188], "expectation_value": -15.741010695152616, "params": [[-0.0408, 0.069], [0.0772, -0.0357]], "bitstrings": ["001000011", "101000011"], "total_optimization_steps": 10, "probabilities": [0.0050492205285404095, 0.006632118962810421], "optimization_time": 3.364345073699951} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 13.0 * Z(1) + -2.5 * Z(0) + 12.0 *... | 1 | 9 | 2 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101000011"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.015041700456482638) q[0];
cx q[1], q[0];
rz(1.4443264567556788) q[0];
rx(1.619282026596157) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.015041700456482638) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.015041700456482638) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIZIIIZII",
"IIIZIIIZI",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
13,
-2.5,
12,
13.5,
12,
12,
17.5,
2.5,
7
] | 0.975026 | [
-0.015041700456482638,
-1.5570698361898603,
1.4443264567556788,
-1.5438767477979454,
0.832318823873067,
-1.7666330798977976,
1.725742337624804,
1.903105399228118,
1.619282026596157,
0.06117202732973989,
1.5038150213013086,
-0.7673798844218126,
2.540222997992164,
0.46278776046781567,
1.63... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -77.5,
"target_ratio": 0.97,
"target_value": -75.175
} | 63 |
8d8fa5ee6a82ad17d0d6120aef30e861 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [1, 33], "expectation_value": -11.74999348972191, "params": null, "bitstrings": ["1111110", "1011110"], "total_optimization_steps": 17, "probabilities": [0.4999996713631394, 0.4999996713631394], "optimization_time": 13.831813097000122} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -1.5 * Z(4) + 2.25 * Z(6) + 1.5 * Z(1) + -1.25 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["1111110", "1011110"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.4347318003186254) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.16558273416228064) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(0.026421426916743207) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(-0.43592444188839763) ... | 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[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", "... | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIIIZZI",
"IIZIIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
-0.5,
-1,
-0.75,
-0.25,
2.5,
-0.75,
-0.75,
-1.25,
-1,
-0.25,
0.25,
-1.5,
2.25,
1.5,
-1.25
] | 0.970144 | [
-0.4347318003186254,
-0.16558273416228064,
0.026421426916743207,
-0.5217462601275333,
0.4586231555137733,
-0.43592444188839763,
-0.33453436399480646,
-0.03001001646313847,
-0.1127609036020698,
0.2503598948291178,
-1.103129003830037,
-0.7059981088306357,
-0.21330762283364263,
0.040023523320... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 182 |
8a7a8257c4c88591ed859836a708a59e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1476, 1474], "expectation_value": -124.54688365380333, "params": [[0.6283000000000001, -0.0029000000000000002, 1.0654000000000001, 0.2821, 1.114, -0.0916, -0.0109, -0.002, 0.2625, -0.6247, -0.0016], [0.6192000000000001, 0.0094, 0.7499, -0.1492, 0.8143, 0.025400000000000002, -0.0161, -0.0025, 0.3431, -0.642,... | 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(3) @ Z(0)) + 8.0 * (Z(3) @ Z(5)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(6) @ Z(2)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(8) @ Z(3)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(4)) + 22.5 * Z(0) + 15.0 * Z(2) + 4.0 * Z(1) + 4.5 * Z(5) + 1... | 10 | 11 | 4 | {"smallest_eigenvalues": [-127.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -121.0, "smallest_bitstrings": ["01000111101"], "largest_eigenvalue": 196.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.6087912131621177) q[0];
ry(0.04322903079848292) q[1];
ry(1.2048820898239474) q[2];
ry(0.4272056401261197) q[3];
ry(0.9703395138161902) q[4];
ry(0.10256160907112577) q[5];
ry(-0.023272672776806468) q[6];
ry(-0.021485152937846766) q[7];
ry(0.28221756702048023) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIZZIIII",
"IIIIIIIZIIZ",
"IIIIIZIZIII",
"IIIIIIZZIII",
"IIIIZIIIZII",
"IIZIIIIIIIZ",
"IIZIIIIZIII",
"IZZIIIIIIII",
"ZIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIZIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
22.5,
15,
4,
4.5,
15,
26,
-6.5,
13,
0,
-4.5,
-11
] | 0.972283 | [
0.6087912131621177,
0.04322903079848292,
1.2048820898239474,
0.4272056401261197,
0.9703395138161902,
0.10256160907112577,
-0.023272672776806468,
-0.021485152937846766,
0.28221756702048023,
-0.9045138882475043,
-0.01935618693321558,
0.7930893042905638,
-0.035986928426871095,
0.8481930883773... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -127,
"target_ratio": 0.97,
"target_value": -123.19
} | 6 |
3687685335413553432 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 7], [8, 5], [1, 6], [4, 7], [8, 3], [4, 6], [1, 3], [1, 2], [2, 5], [3, 6], [0, 3], [8, 7], [2, 6], [0, 1], [3, 7], [2, 3], [0, 6]]} | {"states": [199, 327], "expectation_value": -3.7215480452245897, "params": null, "bitstrings": ["100111000", "010111000"], "total_optimization_steps": 71, "probabilities": [0.07576219285887431, 0.5919157290291844], "optimization_time": 150.5549283027649} | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["101000111", "010111000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(0.032518780714972995) q[1];
cx q[0], q[1];
ry(-0.032518780714972995) q[1];
cx q[0], q[1];
ry(-0.009053126578961688) q[1];
ry(0.7185833940377896) q[0];
h q[2];
ry(0.2984799408148926) q[2];
h q[3];
ry(-0.057302357798752625) q[3];
h q[4];
ry(-0.199434712... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[8], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"IZIZIIIII",
"ZZIIIIIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IZIIZIIII",
"IIZIZIIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIZIIZIII",
"IIIIIZIZI",
"IIIZIIZII",
"IIZIIIZII",
"IIIIIIZZI",
"IIIIIZZII",
"IIZIIIIIZ",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IZIIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"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,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.976299 | [
-0.11460471559750525,
0.5969598816297852,
0.16853990422227405,
-0.39886942466915604,
1.4724998211120894,
0.06503756142994599,
1.4357772358509442,
1.4371667880755792,
-0.018106253157923375,
0.216472886809111,
1.9394287068133282,
-1.408949504838821,
-1.4785748066514142,
-0.36443479862908895,... | {
"n_parameters": 47,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 194 |
8c44c442a25e00dfae4e1647b2faf79f | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 1, "target": 4}]} | {"states": [14261, 14190], "expectation_value": -1.2449292931011988, "params": [[0.1076], [-0.111]], "bitstrings": ["100100001001010", "100100010010001"], "total_optimization_steps": 20, "probabilities": [5.6097199135370643e-05, 5.609719913537065e-05], "optimization_time": 103.97554850578308} | 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(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 1 | 15 | 1 | {"smallest_eigenvalues": [-9.500000000000053], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.500000000000005, "smallest_bitstrings": ["100100010010001"], "largest_eigenvalue": 28.50000000000005} | 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] 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",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
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,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1.25,
1.25,
1.25,
1,
1,
1,
1,
1,
1,
... | 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 |
50803b752054f0512687e537ee7368f9 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [0, 20], "expectation_value": -3.4999057430342013, "params": null, "bitstrings": ["11111", "01011"], "total_optimization_steps": 15, "probabilities": [1.7262809281757173e-05, 0.9999394817654882], "optimization_time": 5.16800594329834} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(2) + -1.0 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-3.118963683468091) q[0];
ry(-0.017918109517936636) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5232555292397325) q[2];
ry(-0.11982451051349112) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.0455035030484382) q[3];
cx q[2], q[3];
cx q[2], q[0];
ry(-0.07016976767686646) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IZZII",
"ZIZII",
"IZIIZ",
"IIIZI",
"IIIIZ",
"IZIII",
"IIZII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-1
] | 0.997671 | [
-1.5523952299069044,
-1.4054683132329673,
1.5232555292397325,
-0.0910070060968764,
0.14033953535373292,
-0.02773759371322497,
-0.0009659747401112133
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
c24dd733315066f7c7da3d578f954d8c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 2}]} | {"states": [4, 0], "expectation_value": -2.544911536768462, "params": null, "bitstrings": ["11011", "11111"], "total_optimization_steps": 6, "probabilities": [0.003905797211247971, 0.9825329383933348], "optimization_time": 7.956478118896484} | 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0... | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5625, "smallest_bitstrings": ["11111"], "largest_eigenvalue": 4.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-3.109822845335567) q[0];
h q[1];
ry(-1.5582063124952958) q[1];
rz(-pi) q[2];
ry(-3.109822845335567) q[2];
rz(-pi) q[3];
ry(-3.109822845335567) q[3];
h q[4];
ry(1.469755261649514) q[4];
rz(-pi) q[5];
ry(-3.135276556501939) q[5];
cx q[4], q[5];
ry(-0.107... | 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(-1.4868) 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]... | [
"IIZIZ",
"IZIIZ",
"ZIIIZ",
"IIIZZ",
"IZZII",
"ZIZII",
"IIZZI",
"ZZIII",
"IZIZI",
"ZIIZI",
"IZZIZ",
"ZIZIZ",
"IIZZZ",
"ZZIIZ",
"IZIZZ",
"ZIIZZ",
"ZZZII",
"IZZZI",
"ZIZZI",
"ZZIZI",
"ZZZIZ",
"IZZZZ",
"ZIZZZ",
"ZZIZZ",
"ZZZZI",
"ZZZZZ",
"IIIIZ",
"IIZII",
"IZIII",... | [
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,
-0.5625,
-0.5625,
-0.5625,
-0.5625,
-... | 0.994345 | [
-1.5582063124952958,
1.469755261649514,
0.21471432446647404,
0.2656217467992172,
0.18133959097226313
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
06ec716f7c6c63b1aba8eac15fa44d26 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [64, 63], "expectation_value": -0.07799454201204124, "params": [[0.0017000000000000001, -0.016800000000000002, -0.0333], [-0.0221, -0.0022, 0.025]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008308670350708222, 0.008344867175812114], "optimization_time": 5.3952... | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -0.5 * Z(1) + 0.5 * Z(2) + -1.0 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.14662944682209153) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.03207041332105976) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.004657991275908549) q[2];
cx q[5], q[2];
cx q[1], q[2];
rz(0.14662944682209153) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"IZIIIZI",
"IZIIZII",
"IIIIZZI",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"ZZIIIII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.25,
-1.5,
-0.75,
-0.25,
-0.75,
-0.25,
-1.25,
-0.75,
-0.5,
0.5,
-0.5,
1,
-0.25,
-0.5,
0.5,
-1,
0.75,
-0.5
] | 0.946282 | [
0.14662944682209153,
0.03207041332105976,
-0.004657991275908549,
-0.06255413879699266,
-0.11688910112479409,
-1.1040750932319774,
-1.0882832930196775,
-1.1385645611061024,
-1.0610330425854635,
1.4322711339057295,
0.5063761691342662,
0.28481786844050344,
0.26423677171838056,
-0.262978351077... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 500 |
d6ef88caa86def69cf0a93d5f7ae1334 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 4, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [32, 31], "expectation_value": -0.9372364227980976, "params": [[0.0589, 0.0483, 0.06810000000000001, 0.046400000000000004], [-0.0669, -0.034800000000000005, -0.0539, -0.0402]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.025845651108288605, 0.026343524634334488], "... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.5 * Z(4) + -1.0 * Z(1) + -0.25 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "100000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.142596775395089) q[0];
h q[1];
ry(-2.805862209723741) q[2];
rz(-pi) q[2];
h q[3];
ry(1.6727279779329813) q[3];
cx q[3], q[2];
ry(-0.006612696294308967) q[2];
cx q[3], q[2];
h q[4];
ry(0.18808620509776625) q[4];
h q[5];
cx q[5], q[4];
ry(-0.1880862050977662... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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",
"IIZZII",
"IZZIII",
"IZIZII",
"IIZIZI",
"ZIIIIZ",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
-0.25,
-0.25,
-1,
-0.25,
-1,
0.5,
-0.75,
2,
-0.25,
0,
-0.5,
-1,
-0.25
] | 0.977265 | [
1.6727279779329813,
0.3761724101955325,
1.2284531866345352,
0.427136098034033,
-2.285193550790178,
-0.23338856410801373,
-0.22032755357472006,
0.013225392588617935,
0.6739447709084712,
0.7214781933643197,
0.33930929519387343,
-2.1923364254591933,
0.19110177979600335,
0.7238842759854223,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 132 |
5964534709385774514 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3], [5, 6], [1, 4], [0, 4], [1, 6], [3, 6], [2, 6], [4, 6], [0, 2], [1, 2]]} | {"states": [30, 97], "expectation_value": -0.12833361564439663, "params": [[0.0777], [-0.0852]], "bitstrings": ["1100001", "0011110"], "total_optimization_steps": 10, "probabilities": [0.009523889279393646, 0.009523889279393646], "optimization_time": 1.6090290546417236} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011110", "1100001"], "largest_eigenvalue": 5.0} | 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(0.5888175331008385) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(0.5888175331008385) q[4];
cx q[0], q[4];
cx q[0], q[2];
rz(0.5888175331008385) q[2];
cx q[0], q[2];
rx(-0.7172775096423168) q[0];
h q[5];
h q[6];
cx q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(x0) q[6];
cx q[3], q[6];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q[5];
cx q[6], q[1];
... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIZIII",
"ZZIIIII",
"ZIIIIZI",
"IIZIIIZ",
"ZIZIIII",
"IIZIIZI",
"IIIIZIZ",
"ZIIIZII",
"IIIIZZI",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII"
] | [
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
] | 0.404295 | [
0.5888175331008385,
1.0702101505743568e-12,
-0.7172775096423168
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 90 |
98ff52dd3a46eb29e6baf499c47cc739 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [5, 9], "expectation_value": -2.411633546218451, "params": null, "bitstrings": ["11010", "10110"], "total_optimization_steps": 17, "probabilities": [0.06012617716668137, 0.7888212083319179], "optimization_time": 11.103192329406738} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["00111", "11010", "10110", "01011"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx q[2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"IZIZI",
"IZZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 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 |
5721bc29b750ff2e0c5d4fb6d5e7d30b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [24, 31], "expectation_value": -15.054281768098955, "params": [[[0.0024000000000000002, -0.0025, 0.001, 0.0002], [-0.0025, 0.0115, 0.0025, 0.0028], [0.0025, 1.1798, 0.0025, 0.0098], [0.0024000000000000002, 0.0001, -0.0029000000000000002, 0.0023], [1.5878, 0.0032, 1.5855000000000001, 0.0063], [1.3148, -0.0034... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6) | 11 | 8 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.05898088205563733) q[0];
rz(-0.11516861982324494) q[0];
ry(-0.11516861982324494) q[1];
rz(-0.0014218957630719592) q[1];
cx q[1], q[0];
ry(0.03363785873728879) q[1];
rz(0.12232056754132889) q[1];
ry(0.03363785873728879) q[2];
rz(1.340588803478647) q[2];
ry(-0.05898... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"ZIZIIIII",
"ZZIIIIII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-2,
-2,
-2,
-1,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.975423 | [
-0.05898088205563733,
-0.11516861982324494,
-0.0014218957630719592,
0.03363785873728879,
1.340588803478647,
0.5140510440946262,
1.6881156119275331,
-0.07432694386371438,
1.1423508360410763,
0.11537448107570408,
0.280001861598485,
2.5617041670342586,
0.10075285320723114,
0.12232056754132889... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 10 |
b426b8aff164c6823b185eb6b091738d | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [51, 53], "expectation_value": -2.5928785863055515, "params": null, "bitstrings": ["1001100", "1001010"], "total_optimization_steps": 45, "probabilities": [0.07553581477216839, 0.7557774249569611], "optimization_time": 45.22643566131592} | 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... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["1001010", "0110100"], "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... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4449) q[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",
"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 |
48ae5229d964a116a3ebee0f6167a21b | 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": 4}, {"capacity": 6, "source": 0, "target": 9}, {"capacity": 7, "source": ... | {"states": [2048, 2047], "expectation_value": -40.51050891339421, "params": [[[-0.0055000000000000005, 0.0028], [-0.0024000000000000002, -0.0022], [-0.0041, -0.0028], [-0.0029000000000000002, 0.0029000000000000002], [0.0006000000000000001, 0.0027], [0.0066, -0.0029000000000000002], [0.0115, -0.003], [0.0001, -0.0031000... | -0.5 * (Z(0) @ Z(6)) + -1.5 * (Z(11) @ Z(0)) + -1.75 * (Z(1) @ Z(6)) + -1.25 * (Z(1) @ Z(11)) + -1.5 * (Z(5) @ Z(11)) + -1.75 * (Z(5) @ Z(1)) + -2.0 * (Z(8) @ Z(11)) + -1.0 * (Z(8) @ Z(1)) + -1.25 * (Z(9) @ Z(11)) + -0.5 * (Z(9) @ Z(1)) + -1.75 * (Z(9) @ Z(8)) + -3.0 * (Z(2) @ Z(11)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z... | 15 | 12 | 3 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.0, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 32.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.11599043621590667) q[0];
ry(-0.16764728462717093) q[1];
ry(-0.07434448133189409) q[2];
ry(-0.07997441519736506) q[3];
ry(0.09525284981596152) q[4];
ry(0.18454967944791129) q[5];
ry(0.0357430282823052) q[6];
ry(0.06943189543051333) q[7];
ry(0.07727593870541795) 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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIIZ",
"ZIIIIIIIIIIZ",
"IIIIIZIIIIZI",
"ZIIIIIIIIIZI",
"ZIIIIIZIIIII",
"IIIIIIZIIIZI",
"ZIIZIIIIIIII",
"IIIZIIIIIIZI",
"ZIZIIIIIIIII",
"IIZIIIIIIIZI",
"IIZZIIIIIIII",
"ZIIIIIIIIZII",
"IIIIIIIIIZZI",
"IIIIIIZIIZII",
"IIIZIIIIIZII",
"ZIIIIIIZIIII",
"IIIIIIZZIIII",
"IIIZIIIZI... | [
-0.5,
-1.5,
-1.75,
-1.25,
-1.5,
-1.75,
-2,
-1,
-1.25,
-0.5,
-1.75,
-3,
-1,
-1.25,
-1,
-2.5,
-0.75,
-1.75,
-3.25,
-2.25,
-1.25,
2.25,
-1.75,
-1,
-1.75,
-1.25,
-1.5,
-0.5,
-1.75,
-0.75,
-0.25,
-1.75,
5.75,
-0.75,
0.5,
0,
-0.75,
-0.75,
1.5,
... | 0.970596 | [
-0.11599043621590667,
-0.16764728462717093,
-0.07434448133189409,
-0.07997441519736506,
0.09525284981596152,
0.18454967944791129,
0.0357430282823052,
0.06943189543051333,
0.07727593870541795,
0.03472277971019748,
-1.3911241020174998,
-0.018732080613752644,
0.07951231942790511,
-0.008139036... | {
"n_parameters": 55,
"n_qubits": 12,
"optimal_eigenvalue": -41,
"target_ratio": 0.97,
"target_value": -39.769999999999996
} | 19 |
-5741738818463455340 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 10, 7], [8, 3, 4], [8, 10, 7], [8, 11, 4], [8, 2, 10], [9, 10, 3], [0, 4, 7], [9, 7], [11, 3], [11, 7], [3, 6], [11, 5], [9, 6], [2, 11], [1, 3, 7], [9, 2, 3], [8, 6], [8, 5], [0, 11, 4], [0, 8], [10, 4], [1, 11], [1, 5, 7], [9, 4, 5], [3, 5], [0, 3],... | {"states": [3794, 3826], "expectation_value": -3.6641946716161686, "params": [[1.5869, -0.0024000000000000002, 1.3031000000000001, 0.7423000000000001, 0.17420000000000002, 1.5410000000000001, -0.004, 1.6, 0.2882, -0.0187, 1.5771000000000002, 0.18030000000000002], [1.5814000000000001, 1.5973000000000002, 1.5997000000000... | 0.3333333333333333 * (Z(0) @ Z(10)) + 0.3333333333333333 * (Z(7) @ Z(10)) + 0.3333333333333333 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.3333333333333333 * (Z(3) @ Z(10)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.3333333333333333 * (Z(3)... | 10 | 12 | 1 | {"smallest_eigenvalues": [-6.999999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.666666666666668, "smallest_bitstrings": ["000100001101"], "largest_eigenvalue": 20.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(2.0217835909256205) q[0];
ry(-0.0032346397661442983) q[1];
ry(1.9663872223389305) q[2];
ry(-0.06722008692984954) q[3];
ry(-0.0263500247403069) q[4];
ry(1.4696637783922604) q[5];
ry(-0.0037058377878518194) q[6];
ry(2.371469684587147) q[7];
ry(-0.14158331995521062) 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": []} | [
"IZIIIIIIIIIZ",
"IZIIZIIIIIII",
"IIIIZIIIIIIZ",
"IZIZIIIIIIII",
"IIIZIIIIIIIZ",
"IIIZZIIIIIII",
"IZIIIIIIZIII",
"IIIIIIIIZIIZ",
"IIIIZIIIZIII",
"IIIZIIIIZIII",
"IZIIIIIZIIII",
"IIIIIIIZIIIZ",
"IIIIZIIZIIII",
"IIIZIIIZIIII",
"IIIIIIIZZIII",
"ZZIIIIIIIIII",
"ZIIIIIIIIIIZ",
"ZIIIZIIII... | [
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,... | 0.971453 | [
2.0217835909256205,
-0.0032346397661442983,
1.9663872223389305,
-0.06722008692984954,
-0.0263500247403069,
1.4696637783922604,
-0.0037058377878518194,
2.371469684587147,
-0.14158331995521062,
0.09098688175992263,
1.5006022023635737,
0.11959010335236106,
1.1483722359156583,
2.78337253434812... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -6.999999999999998,
"target_ratio": 0.97,
"target_value": -6.789999999999998
} | 34 |
e4f5057259aaeddd1dd7f4f1ea49da8b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 3, "source": 1, ... | {"states": [65, 1], "expectation_value": -4.982927976471636, "params": [[-0.06910000000000001, -0.061500000000000006, -0.061700000000000005], [0.07780000000000001, 0.0726, 0.07250000000000001]], "bitstrings": ["10111110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.016102935913168102, 0.01760051462... | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(1) @ Z(6)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + 1.5 * Z(3) + -0.25 * Z(0) + -3.25 * Z(4) + -1.5 * Z(5) + -0.25... | 1 | 8 | 3 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["11111110", "10111110"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.022546435908237288) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(0.14518918596484848) q[4];
cx q[0], q[4];
h q[5];
cx q[0], q[5];
rz(0.022546435908237288) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(0.7517255380687702) 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": []} | [
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZIIIIZI",
"IIIIZZII",
"IIIZIZII",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII"
] | [
-1.25,
-1.5,
-1.25,
-0.25,
-0.5,
-1,
-0.75,
-1.5,
-1,
-0.75,
4.25,
1.5,
-0.25,
-3.25,
-1.5,
-0.25,
0.75,
-0.5,
3.5
] | 0.957735 | [
0.022546435908237288,
0.14518918596484848,
0.7517255380687702,
0.6453322187153919,
0.0005547510135491637,
0.01648942695497035,
-0.24567836598873122,
0.7103534844820352,
1.2276522599760762,
-0.7579580526703535,
-0.6595794244215516,
1.6514152238781217,
0.05475463053088248,
0.2385240506869008... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 500 |
b4844a241e7c75ea7eb690acd3c4c004 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 7, "source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -0.9999997459468893, "params": [[[-0.0007, 0.006200000000000001, 0.0038, 0.003]]], "bitstrings": ["0", "1"], "total_optimization_steps": 10, "probabilities": [1.2702655531813395e-07, 0.9999998729734446], "optimization_time": 2.0823378562927246} | -1.0 * Z(0) | 12 | 1 | 1 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": 1.0, "smallest_bitstrings": ["1"], "largest_eigenvalue": 1.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
bit[1] c;
qubit[1] q;
ry(x0) q[0];
rz(x1) q[0];
c[0] = measure q[0]; | {"start_node": 0, "end_node": 2} | {"circuits": [], "gradients": []} | [
"Z"
] | [
-1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
a39a3824925ca3f185931d7eff3d69ed | 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": [558, 557], "expectation_value": -109.13101493643727, "params": [[[0.0712, 0.002], [0.0466, -0.0025], [0.0952, -0.003], [0.0094, 0.0056], [1.1, 0.1812], [-0.0119, 0.1905], [0.7594000000000001, 0.068], [0.0224, 0.7311000000000001], [0.45320000000000005, 1.0146], [0.08460000000000001, 0.6396000000000001]], [[1... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 9.5 * Z(0) + -3.0 * Z(1) + -7.0 * Z(2) + 14.5 * Z(4) + -5.0 * Z(3) + 9.5 * Z(5... | 15 | 10 | 3 | {"smallest_eigenvalues": [-111.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -107.0, "smallest_bitstrings": ["0111010010"], "largest_eigenvalue": 153.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.0913803534884503) q[0];
ry(0.013586060792634427) q[1];
ry(0.09552104828285442) q[2];
ry(0.11647978528606961) q[3];
ry(1.1253714743179077) q[4];
ry(-0.14885145715469808) q[5];
ry(0.8575415864948442) q[6];
ry(0.051499484677011424) q[7];
ry(0.41221947872707065) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZIIZIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
9.5,
-3,
-7,
14.5,
-5,
9.5,
17,
17.5,
11,
5.5
] | 0.973352 | [
0.0913803534884503,
0.013586060792634427,
0.09552104828285442,
0.11647978528606961,
1.1253714743179077,
-0.14885145715469808,
0.8575415864948442,
0.051499484677011424,
0.41221947872707065,
0.09351037945097442,
-0.10773559553883108,
-0.04630886360529313,
-0.02592466483576046,
0.021442133285... | {
"n_parameters": 60,
"n_qubits": 10,
"optimal_eigenvalue": -111,
"target_ratio": 0.97,
"target_value": -107.67
} | 33 |
605742faa50c2e92c07356e058fd303f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [24, 6], "expectation_value": -1.3921899229198085, "params": [[0.0673, 0.0654, 0.057300000000000004, 0.07690000000000001], [-0.0762, -0.0732, -0.0519, -0.0629]], "bitstrings": ["100111", "111001"], "total_optimization_steps": 10, "probabilities": [0.030515073256498264, 0.030515073256498288], "optimization_ti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["101011", "100111", "101110", "011011", "111001", "011110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2519734558329277) q[0];
rz(0.3651187390109438) q[0];
rx(0.549123536582348) q[1];
rz(0.1729633947430669) q[1];
rx(0.43121785023168274) q[2];
rz(-0.3977475527083846) q[2];
rx(0.7480155259603805) q[3];
rz(0.11334574533755185) q[3];
rx(0.9524074886463487) q[4];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZZII",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1.5,
-0.5,
-1
] | 0.973344 | [
-0.25197345583292763,
0.2954298013317361,
0.549123536582348,
0.1729633947430669,
0.43121785023168274,
-0.3977475527083846,
0.7480155259603805,
0.11334574533755185,
0.9524074886463487,
0.09007031560592105,
-0.034370920448749724,
0.1359556355151768,
0.6730941809643614,
0.021375644081781026,
... | {
"n_parameters": 106,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 14 |
-8918761665355681149 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 6], [0, 7], [8, 7], [2, 3], [1, 4], [3, 5]]} | {"states": [457, 349], "expectation_value": -2.5873937337501194, "params": null, "bitstrings": ["000110110", "010100010"], "total_optimization_steps": 70, "probabilities": [0.046017826329143335, 0.5912439139592598], "optimization_time": 75.249272108078} | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(8) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 9 | 1 | {"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": ["000110110", "010100010", "101011101", "100110101", "011001010", "111001001", "001011110", "110100001"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-0.5910445708991574) q[1];
h q[2];
h q[3];
ry(-0.5910445708991574) q[3];
h q[4];
h q[5];
cx q[5], q[3];
ry(0.5910445708991574) q[3];
cx q[5], q[3];
ry(-0.18028206386866497) q[3];
cx q[2], q[3];
ry(0.18028206386866497) q[3];
cx q[2], q[3];
ry(0.9647058... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"IIZIIIIZI",
"IZIIIIIIZ",
"ZZIIIIIII",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZIZIII",
"IIZIIIIII",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973817 | [
-1.1820891417983148,
1.4354242635648269,
-0.36056412773732993,
1.929411637802374,
-0.5640093694960666,
0.23990724796769153,
-0.3876110295933201,
-0.16915264926447618,
-0.659629132113393,
-0.6451871039173489,
-0.5117620419067861,
-0.7884209820389937,
-0.32916145333572977,
0.6910246613691885... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 49 |
646c4ffdec7c3b688313fcfec6df6ea9 | edge_cover | 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": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [20, 21], "expectation_value": -0.4291192667865138, "params": [0.9387000000000001, 0.006200000000000001, 1.6902000000000001, 0.0097, 0.9275, 0.0051, 1.6664, 0.0045000000000000005, 0.9168000000000001, 0.0044, 1.663, 0.0036000000000000003, 0.0048000000000000004, 0.006900000000000001, 0.0088, 0.0092, 0.0022, 0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z... | 18 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["001110", "110001", "010101", "101010", "011100", "100011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(1.9669260845713552) q[0];
ry(0.1024795632901214) q[0];
rz(-1.7618896224722536) q[0];
rz(1.3195676915300085) q[1];
ry(2.675781808525202) q[1];
rz(-2.101131985716676) q[1];
rz(0.659445598074063) q[2];
ry(2.9276292745841843) q[2];
rz(-2.5769113250260087) q[2];
rz(-1.592... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIZI",
"ZIIZII",
"IZZIII",
"ZIZIII",
"ZZIIII",
"ZZZIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.973844 | [
-0.03861409541289346,
0.30559213356773784,
0.7326018024600061,
-0.06435106480608022,
0.9547122432617727,
-0.15670419204282596,
1.266054401368888,
0.002295537787968205,
-0.1307986670653961,
0.03183210554700622,
0.016147551089138828,
-0.018645541425944934,
1.0077607251862293,
1.0367697074034... | {
"n_parameters": 27,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 9 |
7bc4dde9a09d0b94c5097b219891d81a | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [4, 1], "expectation_value": -4.265930684645759, "params": [[-0.0369, -0.0403, -0.0431, -0.038200000000000005], [0.0499, 0.0444, 0.0522, 0.052500000000000005]], "bitstrings": ["1011", "1110"], "total_optimization_steps": 10, "probabilities": [0.11476758809537066, 0.1221807355475766], "optimization_time": 2.6... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + -4.5 * Z(1) + -4.75 * Z(0) + -4.5 * Z(2) + -4.25 * Z(3) | 9 | 4 | 4 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1110"], "largest_eigenvalue": 29.0} | 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[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
-4.5,
-4.75,
-4.5,
-4.25
] | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
fafc6efdddfc79ee772c32f1548fe7dd | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [762, 698], "expectation_value": -2.0136518392831873, "params": [[[0.6948000000000001, -0.0004], [0.2189, 0.20770000000000002], [0.7048, 0.0004], [0.48160000000000003, 0.09620000000000001], [0.7019000000000001, -0.0007], [0.7035, -0.0017000000000000001], [0.6986, 0.0009000000000000001], [0.0678, -0.323200000... | 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 | 10 | 3 | {"smallest_eigenvalues": [-4.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.125, "smallest_bitstrings": ["0101000101"], "largest_eigenvalue": 7.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(1.6057355315955633) q[0];
ry(3.0137370139402777) q[0];
rz(-1.4363652832418947) q[0];
rz(-1.671268531679388) q[1];
ry(0.17930713412972987) q[1];
rz(1.3629008775903806) q[1];
rz(-1.6723588676270504) q[2];
ry(2.872388959630802) q[2];
rz(2.1180381277331666) q[2];
rz(-1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZIZ",
"IIIIIZIZIZ",
"IIIIIZZIIZ",
"IIIIIZZZII",
"IIIIIZZZIZ",
"IIIIIIIZZI",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIIZIIZZI",
"IIZZIIIIII",
"IIIZIIZIII",
"IZIIIIZIII",
"IZIZIIIIII"... | [
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,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
-0.125,
-0.25,
0.125,
0.125,
-0.125,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5
] | 0.970285 | [
0.760275246031013,
0.0025164500792719743,
-0.3360577791119443,
0.08512667902077287,
1.0490537427334659,
0.016504779074301784,
-0.130905561252448,
0.19187200201201327,
1.1846836588719045,
-0.0033559305166572725,
1.4473078687395284,
0.09546587118559224,
1.1607692263129525,
-0.085213800277270... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 47 |
73d533dc900ade1f39f82d1daf03a1c8 | 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": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 4... | {"states": [9, 27], "expectation_value": -9.656134434931806, "params": null, "bitstrings": ["1110110", "1100100"], "total_optimization_steps": 45, "probabilities": [0.21130126320595546, 0.6415753811416571], "optimization_time": 39.6255145072937} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + -2.75 * Z(1) + -0.25 * Z(0) + -1.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["1100100"], "largest_eigenvalue": 11.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6453148803699713) q[0];
h q[1];
ry(-1.2906297607399426) q[1];
h q[2];
ry(0.20763618927947922) q[2];
h q[3];
ry(1.5707963228051525) q[3];
h q[4];
ry(-1.2906297607399426) q[4];
h q[5];
cx q[5], q[2];
ry(-0.20763618927947922) q[2];
cx q[5], q[2];
ry(-0.212059... | 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", ... | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIIZZI",
"IIZIZII",
"IZZIIII",
"IZIIZII",
"IIIZIZI",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.75,
-1,
1.75,
-0.25,
-0.25,
-0.75,
-2.75,
-0.25,
-1,
1.25,
0.5,
1.75,
0.5
] | 0.93217 | [
-1.2906297607399426,
0.9633644251176647,
-0.8643128177065958,
1.5707963228051525,
0.6074318337665492,
-0.061168553258004583,
0.41527237855895843,
-0.42411995153383697,
-9.531955346250186e-9,
-1.2449153971741117e-7,
0.8307106868012877,
0.9070901524241489,
1.6098834234627052e-7,
0.0210102808... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 432 |
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": -6.239546095225372, "params": [[0.054], [-0.0539]], "bitstrings": ["01010100", "10010100"], "total_optimization_steps": 10, "probabilities": [0.006613894165703882, 0.006866156260161085], "optimization_time": 1.5726046562194824} | 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 | 1 | {"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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[1];
rz(x0) q[1];
cx q[0],... | {"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 |
c835fa1e3e69cb531a622e34cffeb2bc | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 7}, {"weight": 20, "source": 0, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [250, 218], "expectation_value": -25.69924748907159, "params": [[0.0006000000000000001, -0.0228, -0.003, 0.005200000000000001], [0.010400000000000001, 0.0555, 0.057100000000000005, 0.0512]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.005556486279363428, 0.00... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 180.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.012688580307125708) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.012688580307125708) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.012688580307125708) q[1];
cx q[0], q[1];
rz(1.5707728208002596) q[0];
rx(1.5719309045425545) q[0];
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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"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,
11.5,
3.5,
19,
18.5,
4.5,
18.5,
3,
23.5,
11
] | 0.951132 | [
0.012688580307125708,
-1.5707841880784301,
1.5707728208002592,
-1.5707826865525911,
-1.5708294960872318,
1.5707747758463055,
-1.5707792663486049,
1.5707593339003678,
1.5719309045425545
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -91.5,
"target_ratio": 0.97,
"target_value": -88.755
} | 231 |
106b85c534ef809e9d9776d75d2752ac | 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": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"source": 2, "target":... | {"states": [579, 835], "expectation_value": -3.8820530269135713, "params": [0.9082, -0.0011, 0.9049, 0.0008, 0.8482000000000001, -0.0009000000000000001, 0.8553000000000001, 0.007, 0.7187, 0.0548, 0.7200000000000001, 0.0071, 0.8544, 0.0054, 0.8592000000000001, 0.0041, -0.007, 0.5553, -0.0046, 0.0, 0.0001, 0.5997, -0.002... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(5)) + -1.5 * Z(7) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) + -... | 7 | 10 | 1 | {"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": ["0100111100", "0101110100", "0010101101", "0011110100", "0010111100", "0100101101"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.2947932702421174) q[0];
rz(0.08338435669613276) q[0];
rx(1.633595147655473) q[1];
rz(-0.17919870351841152) q[1];
cx q[1], q[0];
rz(-0.14693441761183856) q[0];
cx q[1], q[0];
rx(2.1095872847073758) q[0];
rz(0.1510683261535941) q[0];
rx(1.2062922843953656) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIIZ",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIZIIZIII",
"IIZIZIIIII",
"IIIIZZIIII",
"IIIZZIIIII",
"IZIIIZIIII",
"ZIIIIZIIII",
"ZIIIZIIIII",
"IIZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIIIZIII",
"IIIIZIIIII"... | [
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,
-0.5,
-1,
-1.5,
-0.5,
0,
-1.5,
0,
-0.5
] | 0.976295 | [
1.2947932702421174,
-0.06355006091570589,
1.633595147655473,
-0.17919870351841152,
0.05554364211352798,
0.08308804352147701,
1.5253326815474824,
0.386801108388227,
0.029002502134889654,
0.6521677931077186,
0.003900750942736106,
0.7432998857924877,
-0.08133415575451369,
-0.28844019103707713... | {
"n_parameters": 46,
"n_qubits": 10,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 20 |
047a6db213ec2347412434e39dcab446 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "so... | {"states": [381, 511], "expectation_value": -3.7120091903666035, "params": [[0.061000000000000006, 0.0551, 0.0471, 0.0379], [-0.0639, -0.0459, -0.0454, -0.0361]], "bitstrings": ["11010000010", "11000000000"], "total_optimization_steps": 10, "probabilities": [0.0012413619861616487, 0.00124136198616165], "optimization_ti... | -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(10) @ Z(2)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(10)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(10)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(3)) +... | 1 | 11 | 4 | {"smallest_eigenvalues": [-9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332], "number_of_sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-0.7895976344915955) q[0];
h q[1];
ry(-0.7810861968429474) q[1];
h q[2];
h q[3];
ry(1.6087583371568581) q[3];
h q[4];
ry(1.6087583371568581) q[4];
cx q[4], q[1];
ry(0.7810861968429474) q[1];
cx q[4], q[1];
cx q[4], q[0];
ry(0.7895976344915955) q[0];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIIIIIZII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IIIIIIZIZII",
"IZIIIIZIIII",
"ZIIIIIZIIII",
"IIIIIIZZIII",
"IIIIIZIIZII",
"IZIIIZIIIII",
"ZIIIIZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIIIZIIZI... | [
-0.5,
-0.5,
1,
0.5,
-1,
-1,
0.5,
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
1,
-0.3333333333333333,
1,
-2.5,
-2.5,
2.5,
2.5,
1.5,
1.5,
1.5,
1.5,
-1,
... | 0.97411 | [
1.6087583371568581,
-1.5621723936858949,
-1.579195268983191,
-1.7000663403512135,
1.0380739879293168,
0.7350162679663793,
1.5754527001879863,
-0.7775594481828644,
-1.3800772367519494,
0.28813208000335316,
-0.7211051201233013,
1.3146153603862532,
-0.355182142317478,
-0.2241765857557586,
0... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -9.333333333333332,
"target_ratio": 0.97,
"target_value": -9.053333333333333
} | 5 |
d0581e93a19f65d437b5ac853666a984 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [298, 186], "expectation_value": -1.2274958792935662, "params": [[[0.4922, -0.0246, 0.008400000000000001, 0.0018000000000000002], [0.4787, 0.09670000000000001, 0.4893, 0.14300000000000002], [0.1226, -0.32430000000000003, 0.055, -0.3098], [0.4995, 0.1688, 0.2853, -0.030600000000000002], [0.496, 0.0454, 0.5004... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(2) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 ... | 11 | 9 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.125, "smallest_bitstrings": ["101000110", "101000101", "011000101", "010110001", "011010001", "010101010", "011001001", "011001010", "010100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.7618361869705192) q[0];
rz(0.38874165600839744) q[0];
ry(0.6662301050880198) q[1];
rz(0.33220782116889225) q[1];
cx q[1], q[0];
ry(0.15874988843944288) q[0];
rz(-0.34691518286664486) q[0];
ry(0.5965155345103594) q[1];
rz(0.9622791877662273) q[1];
ry(0.0328011315758... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZZZIIII",
"IIIIZIZII",
"IZIIIIZII",
"IZIIZIIII",
"IZIIZIZII",
"ZZIIIIIII",
"IIIIIZIIZ",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IIIZIZIII",
"ZIIIIZIII",
"ZIIZIIIII",
"IIIZIZIIZ",
"ZIIIIZIIZ",
"ZIIZIIIIZ",
"ZIIZIZIII",
"... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.125,
-0.5,
-0.25,
-0.125,
0,
0.125,
-0.25,
-0.25,
-0.125
] | 0.971404 | [
1.7618361869705192,
0.38874165600839744,
0.6662301050880198,
0.33220782116889225,
0.03280113157585013,
-0.4192975141754374,
-0.0051116786155068,
-0.058879821296199356,
0.6812877187730751,
0.096192320252199,
-0.05720599407542326,
0.11004452479141505,
-0.400626397736523,
0.036990678075437516... | {
"n_parameters": 128,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 168 |
11576eab70c2ec583415b5e8bd58f9e2 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [13, 7], "expectation_value": -6.6950309953721945, "params": null, "bitstrings": ["110010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10881682250307842, 0.5951549079003051], "optimization_time": 64.53721642494202} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 12 | 6 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
-0.75,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
e406f122c9b00528f4ddd8dd03d61067 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [104, 105], "expectation_value": -3.5879915314452515, "params": [0.4055, -0.0599, 0.4058, 0.0218, 0.4051, -0.0256, 0.4086, -0.0054, -0.0011, 0.20220000000000002, -0.004, 0.19840000000000002, 0.4078, -0.046200000000000005, 0.40040000000000003, 0.003, -0.0023, 0.012, -0.0035, -0.075, -0.0023, 0.205700000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(3) + -0.5 * Z(6) | 5 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0010110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.7324893840416054) q[0];
rz(-0.1470235731435885) q[0];
rx(0.5882295235274103) q[1];
rz(0.00903064432231826) q[1];
rx(-0.15496819803023265) q[2];
rz(0.16920534762510897) q[2];
rx(1.1150770576582407) q[3];
rz(-0.06413991736941238) q[3];
rx(0.00690198510851904) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IZIIZII",
"IZIIIIZ",
"IZZIIII",
"IIIIZZI",
"IIZIIZI",
"IIIZZII",
"ZIZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-0.5,
0,
-0.5
] | 0.97792 | [
0.7324893840416052,
-0.1890873684029086,
0.5882295235274103,
-0.09930060178152415,
-0.15496819803023268,
0.12909221266052637,
1.1150770576582407,
-0.0039102523580491905,
0.006901985108519042,
-0.03951905108846494,
0.4228763866593093,
0.7048842654517478,
-0.20743144851447615,
-0.18992726256... | {
"n_parameters": 66,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 15 |
dba6edf645eaaf1a507a17055e7164ef | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [762, 746], "expectation_value": -2.3723754541570434, "params": [[[0.7298, 0.042300000000000004, 0.0033, 0.005200000000000001], [0.4853, -0.10980000000000001, 0.8534, 0.0555], [0.39080000000000004, -0.4782, 0.2064, 0.2939], [0.049, 0.6573, 0.1597, 0.4721], [0.7148, -0.19090000000000001, 0.5139, 0.0912], [-0.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 11 | 10 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.25, "smallest_bitstrings": ["1010001001", "0100110100", "0010011001", "0001101100", "0011101000", "010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.1859007606528923) q[0];
rz(0.1277309969404848) q[0];
ry(0.6373581281621916) q[1];
rz(0.40391422363380924) q[1];
cx q[1], q[0];
ry(-0.3494780626691644) q[0];
rz(0.23269403163719315) q[0];
ry(0.4001222395678607) q[1];
rz(-0.2582472936170673) q[1];
ry(-0.025818624057... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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] x11;
input float[64] x12;
input float[64] x13;
inpu... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZZIIIZ",
"IIIZIIIIZI",
"IIZZIIIIII",
"IIZIIIIZII",
"IZIIIIIZII",
"IZZIIIIIII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
-0.125,
0.12... | 0.974622 | [
0.1859007606528923,
0.1277309969404848,
0.6373581281621916,
0.40391422363380924,
-0.025818624057445873,
-1.2207959965169293,
-0.01719509851365882,
0.6672042623739143,
0.3535564440001057,
-0.14448587096729418,
-0.14265470491067128,
0.11653979094772494,
-0.26099188668928275,
0.50058431121305... | {
"n_parameters": 107,
"n_qubits": 10,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 118 |
70084b84ab6bcd1923895c004533d5a8 | 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": 0, "target": 5}, {"source": 1, "target": 5}, ... | {"states": [44, 14], "expectation_value": -4.489065418609435, "params": null, "bitstrings": ["1010011", "1110001"], "total_optimization_steps": 33, "probabilities": [0.060236508418680626, 0.8645372942771353], "optimization_time": 33.93212175369263} | 0.5 * (Z(0) @ 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(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["1110001", "1001011", "1010011", "1101001", "1101010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.4960585747588648) q[0];
h q[1];
ry(-0.5052428947976614) q[1];
h q[2];
ry(-0.5772024041563384) q[2];
h q[3];
cx q[3], q[2];
ry(0.5772024041563384) q[2];
cx q[3], q[2];
ry(-0.6843464657039956) q[2];
ry(0.973719037814723) q[3];
h q[4];
ry(1.7203592481318517) ... | 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",
"IIIZZII",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIZI",
"ZIIZIII",
"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,
-1,
-2,
-0.5,
-1,
0,
-1,
-1
] | 0.991463 | [
-1.4960585747588648,
-1.5174008634150173,
1.7203592481318517,
-1.0104857895953228,
-1.1544048083126768,
0.7914555896480011,
-0.5119869416647143,
0.36452689633344415,
-0.34471904807856296,
0.48328583578776585,
0.26529526617155025,
-0.053145709070203745,
-0.01628721250378412,
0.0760722069734... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
93141c357d164fcf2a36ba666f8f01e3 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [1, 8], "expectation_value": -9.567863056373476, "params": null, "bitstrings": ["1110", "0111"], "total_optimization_steps": 18, "probabilities": [0.26405862346310693, 0.6224927337877648], "optimization_time": 7.878815650939941} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + -4.75 * Z(1) + -4.5 * Z(0) + -4.75 * Z(2) + -4.5 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1110", "0111"], "largest_eigenvalue": 29.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-0.5729) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
-4.75,
-4.5,
-4.75,
-4.5
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
aa9a137beae174c5d90acdfa52f10db2 | 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": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [0, 2047], "expectation_value": -17.726381668986914, "params": [0.0137, 1.8575000000000002, -0.010400000000000001, 1.2803, -0.0251, -0.6225, -0.07490000000000001, 2.0202, -0.2503, -0.6369, -0.2852, -0.9372, 1.3761, 1.6483, -0.08270000000000001, 1.855, -0.46330000000000005, 0.4551, 0.0039000000000000003, 1.42... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -2.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + -1.5 * (Z(9) @ Z(8)) + -2.0 * (Z(3) @ Z(10)) + -1.5 * (Z(2) @ Z(10)) +... | 6 | 11 | 2 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.007757021735012715) q[0];
rz(-2.5561629911943093) q[0];
rx(0.022053710928356465) q[1];
rz(0.3287011040622043) q[1];
rx(-0.1677927063105967) q[2];
rz(1.2397961310416932) q[2];
rx(-3.0780616025981415) q[3];
rz(-2.7390249317711355) q[3];
rx(-0.11927582601191732) q[4]... | 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] x11;
input float[64] x12;
input float[64] x13;
inpu... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZIIIIIIZIII",
"ZIIIIIIIZII",
"IIIIIIIZZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIIZIII... | [
-2,
-2,
-2,
-2,
1,
-2,
-2,
0.5,
-2,
0.5,
-2,
-1.5,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5
] | 0.970182 | [
0.007757021735012715,
2.1562259891903808,
0.022053710928356465,
-1.2420952227326922,
-0.1677927063105967,
-0.33100019575320455,
3.205123704581445,
1.9733640486135549,
-0.11927582601191729,
0.15698278197084117,
-0.07616449399940625,
0.20336896632674176,
-0.06828313546055638,
0.3615577757813... | {
"n_parameters": 107,
"n_qubits": 11,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 391 |
-7365051391097993006 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3, 4, 6], [0, 2, 3, 5, 6], [0, 2, 4, 5, 7], [0, 1, 4, 7, 8], [1, 2]]} | {"states": [373, 375], "expectation_value": -1.3060162083638156, "params": null, "bitstrings": ["010001010", "010001000"], "total_optimization_steps": 63, "probabilities": [0.31164386608708183, 0.4939775363472848], "optimization_time": 142.60624837875366} | 0.08333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.13333333333333333 * (Z(4) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.05 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(1)) + 0.1 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(6)) + 0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.35, -1.35, -1.35, -1.35], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.3499999999999999, "smallest_bitstrings": ["110000000", "110001000", "010001000", "010001010"], "largest_eigenvalue": 4.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(1.2518380214020177e-08) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(1.2518380214020177e-08) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-2.007467548870032e-09) q[4];
cx q[1], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(-2.0074... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.2129) 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] = m... | [
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"IIZIIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIIIIZIIZ",
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IIIIIZZII",
"IIIIIIZZI",
"IIIIZIZII",
"IIZIIIZII",
"IIIIIIZIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIZZIIIII",
"IIIZIIIIZ",
"IIIZIIZII",
"IZIIIIIZI",
"... | [
0.08333333333333333,
0.08333333333333333,
0.13333333333333333,
0.13333333333333333,
0.08333333333333333,
0.08333333333333333,
0.05,
0.05,
0.1,
0.05,
0.05,
0.5,
0.05,
0.05,
0.1,
0.05,
0.05,
0.05,
0.1,
0.1,
0.05,
0.1,
0.1,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0... | 0.927423 | [
1.2518380214020177e-8,
-2.007467548870032e-9,
-1.394627612642726e-8,
0.04050407090002088,
3.1415927180629084,
1.570796298886785,
1.5707964568036918,
1.5707964205324005,
-1.5707962089304552,
-1.5707963092841537
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -1.35,
"target_ratio": 0.97,
"target_value": -1.3095
} | 255 |
d2e3f71e5c020057da0dd1812bdf6517 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [57214, 56190], "expectation_value": -13.176796542667459, "params": [[[0.9384, 0.0044, 0.0058000000000000005, 0.0077], [-0.1275, 0.2786, 0.2094, 0.0024000000000000002], [0.113, 0.1927, 0.0031000000000000003, 0.2006], [0.6187, -0.048600000000000004, 0.8939, 0.0031000000000000003], [-0.0656, -0.131400000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z... | 12 | 16 | 4 | {"smallest_eigenvalues": [-13.999999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.999999999999911, "smallest_bitstrings": ["0010010010000001"], "largest_eigenvalue": 45.99999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1661276350304126) q[0];
rz(0.1368317091350482) q[0];
ry(0.04120953092979138) q[1];
rz(0.6237278116787298) q[1];
cz q[1], q[0];
ry(0.8639209804903288) q[0];
rz(-0.20514548926058004) q[0];
ry(0.1701074616062198) q[1];
ry(0.11262869094573309) q[2];
rz(0.3181473576708... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"number_of_colors": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0... | 0.975208 | [
1.1661276350304126,
0.1368317091350482,
0.04120953092979138,
0.6237278116787298,
0.11262869094573309,
0.3181473576708103,
0.734978694415438,
-0.2651028550205645,
-0.11298443044296277,
-0.5003240831397697,
0.31670140934387114,
0.2559084340847741,
0.0720191758938528,
0.2177008887266607,
0.... | {
"n_parameters": 181,
"n_qubits": 16,
"optimal_eigenvalue": -13.999999999999932,
"target_ratio": 0.97,
"target_value": -13.579999999999934
} | 75 |
e9fb8593211145d726423aa6ab4e37d0 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 2, "source": 0, "target":... | {"states": [256, 1021], "expectation_value": -10.845719420242249, "params": [[[-0.6253000000000001, 0.8108000000000001], [0.0028, 0.8082], [0.8047000000000001, -0.0022], [0.0027, 0.002], [0.0025, -0.0028], [0.0027, -0.0029000000000000002], [0.0027, 0.0021000000000000003], [0.0026000000000000003, -0.0027], [0.0027, 0.00... | -0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(9) @ Z(5)) + -0.5 * (Z(9) @ Z(0)) + -0.5 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(10)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(10)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(6) @ Z(9)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6... | 15 | 11 | 2 | {"smallest_eigenvalues": [-12.5, -12.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.5, "smallest_bitstrings": ["10000000010", "10000000011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-1.5780684556171958) q[0];
ry(0.008422270340302893) q[1];
ry(1.0334520172531592) q[2];
ry(-0.14984633379478898) q[3];
ry(0.056032308091626536) q[4];
ry(-0.14984633379478898) q[5];
ry(-0.14984633379478898) q[6];
ry(0.01720840892046245) q[7];
ry(-0.14984633379478898) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIZ",
"IZIIIZIIIII",
"IZIIIIIIIIZ",
"ZIIIIIIIIIZ",
"IIIIIZIIIZI",
"ZIIIIIIIIZI",
"IIIIIZIZIII",
"IIIIIIIZIZI",
"IIIIIZZIIII",
"ZIIIIIZIIII",
"IIIIIIZIIZI",
"IZIIZIIIIII",
"IIIIZIIIIZI",
"IIIIZIIZIII",
"IIZIIZIIIII",
"ZIZIIIIIIII",
"IIZIIIIIIZI",
"IIZIIIZIIII",
"IIIIIZIIZ... | [
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
1.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-1,
-0.5,
2.25,
-1,
0,
-0.25,
0.25,
0.25,
0.75
] | 0.978842 | [
-1.5780684556171958,
0.008422270340302893,
1.0334520172531592,
-0.14984633379478898,
0.056032308091626536,
0.01720840892046245,
0.023774063000948788,
1.660309979266087,
1.4015314237077996,
-0.2240513245655065,
-0.12256448860923999,
0.02304502229913298,
-0.0818573434496026,
-0.0893477878843... | {
"n_parameters": 27,
"n_qubits": 11,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 31 |
cd58673a4ab07f9a1050a15279b9ca9d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [6, 88], "expectation_value": -0.09320970991156108, "params": [[0.046200000000000005], [-0.0371]], "bitstrings": ["1111001", "0100111"], "total_optimization_steps": 10, "probabilities": [0.008110693925817857, 0.008273858389031013], "optimization_time": 1.5453801155090332} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * Z(4) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0100111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.319392169422761) 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] x2;
input float[64] x3;
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[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIZI",
"IIZIZII",
"ZIIIZII",
"IIIIZZI",
"IIZZIII",
"IZIZIII",
"IIIZIZI",
"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,
-1,
-1,
-1,
-1,
-1
] | 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 |
a6ea63ce7afda0458cb5e7d5c63027a7 | 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": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 6... | {"states": [127, 63], "expectation_value": -0.5327740541955337, "params": [[0.0753], [-0.0813]], "bitstrings": ["0000000", "1000000"], "total_optimization_steps": 10, "probabilities": [0.010525185384694824, 0.010924512876148559], "optimization_time": 2.401487112045288} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + 1.25 * Z(2) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0017376199511947208) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0017376199511947208) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.20288321499629142) q[4];
cx q[1], q[4];
h q[5];
cx q[2], q[5];
rz(-0.14254887280689... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIIZZI",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"IZZIIII",
"ZIIIIIZ",
"ZIIIIZI",
"ZIZIIII",
"ZZIIIII",
"IIIZZII",
"IZIZIII",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
-0.25,
-0.25,
-0.5,
-0.75,
-0.25,
-0.75,
0.5,
-0.25,
-1,
-1,
-0.5,
-1.75,
-0.25,
1.25,
-0.25,
0.75,
1.25,
-0.5,
-2,
-0.5
] | 0.716399 | [
-0.0017376199511947208,
-0.20288321499629142,
-0.14254887280689885,
0.26610324065355456,
-0.055925380870436796,
-1.4523531504272442,
1.389482031566515,
1.5293789649009613,
-1.4359026134477408,
-1.0918522412024452
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 243 |
fbfefcfa74040d0ce51ad9f65d60106e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [47, 127], "expectation_value": -11.53331067575609, "params": null, "bitstrings": ["11010000", "10000000"], "total_optimization_steps": 100, "probabilities": [0.06277200153905405, 0.5103310153946397], "optimization_time": 221.99178981781006} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + 2.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-3.000859291377131) q[1];
rz(-pi) q[1];
h q[2];
ry(0.7748292037323219) q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(0.7748292037323219) q[6];
cx q[4], q[6];
ry(-0.7748292037323219) q[6];
cx q[4], q[6];
cx q[6], q[2];
ry(-0.7748292037323219) q[2];
cx q[6], q[2];
r... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2796) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"ZIIZIIII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIZII",
"ZZIIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIII... | [
-0.75,
-1,
-1.25,
2.25,
-1.25,
-0.75,
-0.5,
-1.25,
-1.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-1.5,
-1.75,
-1.25,
-2.5,
4,
-0.25,
0.5,
-0.75,
-0.25,
-1.5,
-1.25,
-0.5
] | 0.971108 | [
1.343239533146487,
1.5496584074646438,
1.363289995080834,
0.49621708094972544,
0.17364686287149478,
0.8685694332296491,
-0.9034655796711664,
0.019652428940172502,
0.07498731643459305,
0.010575954165949066,
-0.054917433053030165,
-0.5287275655163913,
0.6373367627171431,
-0.02023287143337967... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 309 |
7949641e97bcab9c31f97aeb7e7e8a53 | 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": 6}, {"source": 0, "target": 9}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target":... | {"states": [772, 836], "expectation_value": -4.546709612320066, "params": [0.8027000000000001, 0.8025, 0.7997000000000001, 0.7987000000000001, 0.4621, 0.32480000000000003, 0.7921, 0.7899, -0.0086, -0.0175, 0.7791, 0.7742, 0.0033, 0.0035, 0.7984, 0.7964, 0.7678, 0.7832, 0.16190000000000002, 0.1428, 0.5786, 0.5212, 0.780... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -5.5, "smallest_bitstrings": ["1011101010", "0010111101", "0010111011", "1010111010", "0110011011", "0101101101", "0101101011", "0100111101", "0011101101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.478561686569015) q[0];
rz(pi/2) q[0];
ry(1.06534939620209) q[1];
ry(-0.23760678835269244) q[2];
ry(1.2982167131650553) q[3];
ry(0.011737206257205188) q[4];
ry(-0.41049954692941687) q[5];
ry(0.032702986616002114) q[6];
ry(-0.055230889693405616) q[7];
ry(1.941866503... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIZIIIIIZ",
"ZIIIIIIIIZ",
"IIIZIIIIZI",
"IIIZIIIZII",
"ZIIIIIIZII",
"IIIIIIIZZI",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIIZZIIIII",
"IIIIZZIIII",
"IIIIZIZIII",
"ZZIIIIIIII",
"IZIIIZIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"IIIZIIIIII",
"IIIIIIIIIZ",
"ZIIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII"... | [
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,
-0.5,
-1,
-1,
-1.5,
-1.5,
-1,
0,
-1,
-0.5
] | 0.974676 | [
1.478561686569015,
1.06534939620209,
-0.23760678835269244,
1.2982167131650553,
0.011737206257205188,
-0.41049954692941687,
0.032702986616002114,
-0.055230889693405616,
1.9418665032898401,
0.24279627720421448,
0.09247714145503458,
-0.03309793755989458,
-0.6112871749184128,
-0.37972853381063... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 43 |
1813eddd2784340ccecb0cdb4ddfccf4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [486, 358], "expectation_value": -86.06854314839859, "params": [0.0018000000000000002, 0.5972000000000001, 0.7847000000000001, 0.2262, 0.34340000000000004, 0.2795, 0.7858, -0.0099, 0.7859, 0.22690000000000002, -0.0007, 0.45740000000000003, 0.0059, 0.5172, 0.7894, -0.0031000000000000003, 0.7848, 0.14830000000... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(9)) + 9.5 * Z(1) + 12.0 * Z(2) + 23.0 * Z(3) + -2.5 * Z(5) + 0.5 * Z(4) + 13.0 * Z(7) + -4.0 * Z(6) + 9.5 ... | 18 | 10 | 4 | {"smallest_eigenvalues": [-95.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["1010011001"], "largest_eigenvalue": 159.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.15166934302630056) q[0];
rz(0.27005207007008103) q[0];
rx(0.7383661939899107) q[1];
rz(0.18327659785464134) q[1];
rx(-0.20457846115857767) q[2];
rz(0.2439764567419641) q[2];
rx(0.7800115498526548) q[3];
rz(-0.01993934742983543) q[3];
rx(0.6252428247144278) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIZZIIII",
"IIZIIIZIII",
"IIZZIIIIII",
"ZIIIIIZIII",
"ZIZIIIIIII",
"IZIIIIIZII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIIIZ"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
9.5,
12,
23,
-2.5,
0.5,
13,
-4,
9.5,
8,
-11.5
] | 0.970223 | [
0.15166934302630056,
0.564140041657094,
0.7383661939899107,
0.18327659785464134,
-0.20457846115857767,
0.2439764567419641,
0.7800115498526548,
-0.01993934742983543,
0.6252428247144278,
0.36390790005857593,
0.0654792917134087,
0.495280615294579,
-0.1160359852497643,
0.6291250878195538,
0.... | {
"n_parameters": 113,
"n_qubits": 10,
"optimal_eigenvalue": -95.5,
"target_ratio": 0.97,
"target_value": -92.63499999999999
} | 8 |
bea6a6cdb0580b6327676d65fbabaa30 | 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": 5, "source": 0, "target": 4}, {"capacity": 3, "source": ... | {"states": [0, 256], "expectation_value": -26.649648256192776, "params": [-0.6577000000000001, 0.0002, 0.6602, 0.009600000000000001, -0.3121, -0.0017000000000000001, 0.2888, 0.0071, -0.0533, 0.26880000000000004, 0.034300000000000004, 0.0013000000000000002, 0.7031000000000001, 0.0035, 0.7063, 0.003, 0.3554, 0.0016, -0.2... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(9) @ Z(1)) + -0.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(6)) + -0.75 * (Z(11) @ Z(1)) + -0.25 * (Z(11) @ Z(0)) + -0.75 * (Z(11) @ Z(6)) + -0.5 * (Z(11) @ Z(9)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(9)) + -0.25 * (Z(2) @ Z(11)) + -1.25 * (Z(5) @ Z(1)) + -1.75 *... | 6 | 12 | 1 | {"smallest_eigenvalues": [-32.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.75, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 25.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.5735251502738256) q[0];
rz(1.5515736899658599) q[0];
rx(-0.41539300852147365) q[1];
rz(1.533267362037531) q[1];
rx(-0.2450946823209308) q[2];
rz(1.7768671322741536) q[2];
rx(1.501804879795295) q[3];
rz(1.645758292421326) q[3];
rx(0.6387878703641199) q[4];
rz(1.77... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIZIIIIIZ",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIIZIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIIZIZ",
"IIZIIIIIIZII",
"ZIIIIIIIIZII",
"IIIIIIZIIIZI",
"IIIIIZZIIIII",
"IIZIIIZIIIII",
"ZIIIIIZIIIII",
"IIIIIIZIIZII",
"IZIIIIIII... | [
-0.25,
-1.25,
-1.25,
-0.75,
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-1,
-1,
-0.25,
-1.25,
-1.75,
-1.75,
-0.75,
-0.5,
-0.75,
-1.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-1.25,
-0.25,
3.75,
-0.75,
-0.5,
-0.25,
-0.75,
-1.25,
2.25,
-0.25,
0.25,
-3,
1.75,
0.2... | 0.970173 | [
-0.5735251502738257,
-0.01922263682903594,
-0.4153930085214737,
-0.037528964757366834,
-0.2450946823209308,
0.20607080547925727,
1.501804879795295,
0.07496196562642952,
0.6387878703641199,
0.2068193775564685,
0.04590854464015422,
0.688089426804895,
0.20272586403655804,
0.4744130907089895,
... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -32.75,
"target_ratio": 0.97,
"target_value": -31.7675
} | 12 |
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": 4.539292335510254} | 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 | 3 | {"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 |
5144181ac27497fdfa9bdb5b8b799630 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}]} | {"states": [245, 437], "expectation_value": -4.4997224841983945, "params": null, "bitstrings": ["100001010", "001001010"], "total_optimization_steps": 68, "probabilities": [0.06097763732302738, 0.8720226172622207], "optimization_time": 97.71993350982666} | 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 | 9 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001010100", "001100010", "001001010", "001001100", "010001100", "010010100", "010010001", "010100001", "100100001", "100001010",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| null | {"number_of_colors": 3} | {"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",
"IIZIIIIIZ",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIZIIZIII",
"IZIIZIIII",
"IIIIZZIII",
"ZIIZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"... | [
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,
0.75,
0.75,
0.75,
1,
1,
1,
0.75,
0.75,
0.75
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
8424489216386973021 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2], [1, 3, 4, 5], [0, 2], [2, 3], [0, 1, 4]]} | {"states": [52, 53], "expectation_value": -0.4310640545182895, "params": [[-0.25680000000000003], [0.27090000000000003]], "bitstrings": ["001011", "001010"], "total_optimization_steps": 30, "probabilities": [0.03086092852365811, 0.0312500592807987], "optimization_time": 0.9448363780975342} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.25 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.1... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["001010"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.015783388713043352) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.015783388713043352) q[3];
cx q[2], q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(-0.015783388713043352) q[0];
cx q[2], q[0];
rz(1.5716929422778243) q[2];
rx(1.496... | 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[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[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], ... | null | {"circuits": [], "gradients": []} | [
"IIIZZI",
"IIZZII",
"IIZIZI",
"IZIIZI",
"IZZIII",
"ZIIIZI",
"ZIZIII",
"ZZIIII",
"IIIZIZ",
"IIIIZZ",
"IZIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIIZ"
] | [
0.5,
0.5,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0,
0.29166666666666685,
0.1250000000000001,
0.29166666666666663,
0.125,
0.16666666666666663
] | 0.60006 | [
-0.015783388713043352,
-0.000589317597233177,
0.007194123558513725,
-0.40151045999231244,
1.571692942277824,
-1.5229338222066429,
-1.568615865390897,
1.4969195107037914
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -2.0833333333333335,
"target_ratio": 0.97,
"target_value": -2.0208333333333335
} | 206 |
59c7bf586b1b6ff0483e10c6bee5d678 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [14, 7], "expectation_value": -7.681608682707755, "params": [[-0.0604, -0.035, 0.0055000000000000005], [0.083, 0.0801, 0.0685]], "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.021334735847578876, 0.022364759552226852], "optimization_time": 9.435138702392578} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 11 | 7 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.09852088117442483) q[0];
rz(0.2464321943833836) q[0];
rx(0.013740361534353596) q[1];
rz(0.12256695080273028) q[1];
rx(0.05080481933461604) q[2];
rz(0.549588069015392) q[2];
rx(0.06690848796093422) q[3];
rz(0.38811176682309867) q[3];
rx(0.877826886335347) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.25,
2.5,
2.5,
2.5,
-3.25,
-3.75,
-3.5,
-3.25,
-3,
-2.75,
-3
] | 0.972546 | [
0.09852088117442481,
0.29714743619100425,
0.013740361534353596,
0.1099884739568158,
0.050804819334616044,
0.589456889889742,
0.06690848796093424,
0.10021892232913784,
0.8778268863353469,
0.10725033732893174,
0.6196906577153632,
0.08294956462237285,
0.6366887474608689,
0.13202917432697883,
... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 12 |
d1df537b8f7eacc6f0ca14b18760c116 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [441, 509], "expectation_value": -8.499302853593848, "params": null, "bitstrings": ["1001000110", "1000000010"], "total_optimization_steps": 98, "probabilities": [0.23031531104549027, 0.7031321229121374], "optimization_time": 229.9331259727478} | 1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z... | 1 | 10 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000000001", "1000000010", "1001000110", "1001000101"], "largest_eigenvalue": 28.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.7937705898048096) q[0];
h q[1];
ry(0.6192559707330874) q[1];
h q[2];
ry(1.545665404851387) q[2];
h q[3];
ry(0.8722854136704878) q[3];
h q[4];
ry(1.545665404851387) q[4];
cx q[4], q[1];
ry(-0.6192559707330874) q[1];
cx q[4], q[1];
cx q[4], q[0];
ry(0.79377... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5708) q[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]... | [
"IIIIIIIZZI",
"IIZIIIZIII",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIZIIZIIII",
"IIIIZIZIII",
"IIZIZIIIII",
"IIIIZZIIII",
"IIIZIIZIII",
"IIZZIIIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIZIIIZ",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZIIIIIIIZ"... | [
1,
-1,
0.5,
0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
2,
2,
1.5,
-1.5,
2.5,
1.5,
1.5,
0.5,
-1,
-1
] | 0.99397 | [
1.545665404851387,
1.7445708273409757,
1.5815739478927993,
1.2385119414661747,
-1.5875411796096193,
1.0341795361675983,
1.443948565645053,
-1.2687313125160538,
0.7910102675394354,
-0.49367531849502655,
0.5884490707767628,
-0.34137358121040356,
0.3593949234668095,
0.15884005412046098,
0.3... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 1 |
497ee7bf44af41c8b30000bed1ee6591 | 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": 2, "target": 3}, ... | {"states": [6630, 6646], "expectation_value": -2.081701851620094, "params": [[[0.2523, 0.09860000000000001, 0.005200000000000001, 0.0028], [0.1748, 0.2777, 0.7933, -0.0694], [0.7961, 0.057800000000000004, 0.79, -0.0659], [0.7844, -0.21330000000000002, 0.7958000000000001, 0.0644], [0.7934, 0.2071, 0.7867000000000001, -0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(3) @ Z(7)) + 0.0625 * (Z(3) @ Z(8)) + 0.0625 * (Z(5) @ Z(6... | 11 | 13 | 2 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.050282712528339664) q[0];
rz(0.3819994313632922) q[0];
rx(0.7278983687254371) q[1];
rz(0.26595169645320116) q[1];
rx(1.0710332974474701) q[2];
rz(0.10802912403681283) q[2];
rx(0.7917834020909341) q[3];
rz(0.008618002309822284) q[3];
rx(0.6737907487059026) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIIIZZIII",
"IIIIIIIIZZIIZ",
"IIIIIIIZIZIII",
"IIIIIIZIIZIII",
"IIIIIZIIIZIII",
"IIIIZIIIIZIII",
"IIIIIIZZIIIII",
"IIIIIZIZIIIII",
"IIIIZIIZIIIII",
"IIIIIZZIIIIII",
"IIIIZIZIIII... | [
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,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
... | 0.972317 | [
-0.050282712528339664,
0.5010991574351781,
0.7278983687254371,
0.26595169645320116,
1.0710332974474701,
0.10802912403681283,
0.7917834020909341,
0.008618002309822284,
0.6737907487059026,
-0.018196290142947116,
0.7405529885929926,
-0.015136811624490466,
0.977292248982019,
0.1120789656178997... | {
"n_parameters": 150,
"n_qubits": 13,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 23 |
775e030e99ff32cea6c4b1020b987e5f | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": ... | {"states": [1023, 1022], "expectation_value": -1.1162712400816293, "params": [[-0.0526], [0.0574]], "bitstrings": ["0000000000", "0000000001"], "total_optimization_steps": 10, "probabilities": [0.001468318021546333, 0.0014861141550362726], "optimization_time": 2.996551752090454} | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -2.0 * (Z(1) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(5)) + -2.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["0000000001"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.8456577567171069) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.0027584152931827573) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.5353877474183707) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.0027584152931827573) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
... | {"node": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIZIZIIIII",
"IZZIIIIIII",
"IZIIZIIIII",
"IIZZIIIIII",
"IIIZZIIIII",
"IZIZIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIIIIIZI"... | [
-2,
0.5,
-2.5,
0.5,
-2.5,
-2,
1,
-2,
-2,
-2,
1,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.552969 | [
0.8456577567171069,
0.0027584152931827573,
0.5353877474183707,
0.47609579346220293,
1.5707964117018383,
0.9841419398750206
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 162 |
42fc1cab65130010b16c5206f9faaa99 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [37, 7], "expectation_value": -22.048378033372657, "params": null, "bitstrings": ["11011010", "11111000"], "total_optimization_steps": 92, "probabilities": [0.07807308879076097, 0.6009750956398249], "optimization_time": 199.12477135658264} | 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... | 7 | 8 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020585712478965273) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.020585712478965273) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020585712478965273) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020585712478965273) q[3];
cx q[1], ... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.197) 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[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
-7.25,
-7,
-7.5,
-7,
-7,
-6.25,
-6.5,
-6.5
] | 0.972491 | [
0.020585712478965273,
-0.10740732213659304,
0.9806179744216011,
1.2066222500302057,
0.807373465491872,
-0.7383480177614887,
-0.583309434460934,
1.229770317245662,
0.029731332749984192,
-0.4028832613860345,
-0.11890009039048421,
0.19530480659012922,
0.3300174811368061,
-0.05473954150926055,... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 85 |
d4175c3ce7b82603ce58205ac044a840 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": ... | {"states": [0, 448], "expectation_value": -10.64478265255713, "params": [0.0021000000000000003, 0.0064, 0.0029000000000000002, 0.0019, 0.002, 0.0054, -0.5656, -0.5307000000000001, 0.0053, -0.0007, 0.0064, 0.0004, 0.001, 0.004200000000000001, 0.0039000000000000003, -0.0002, 0.0018000000000000002, 0.0043, 0.0044, 0.00210... | -0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(10) @ Z(0)) + -0.5 * (Z(10) @ Z(6)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(10)) + -0.75 * (Z(1) @ Z(7)) + -0.5 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(10)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z... | 14 | 12 | 4 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000000000", "111000111111", "111010111111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.06168957703368168) q[0];
rz(pi/2) q[0];
ry(0.10758376472103794) q[1];
ry(0.12974254324542597) q[2];
ry(-0.5305950565785704) q[3];
ry(-0.010504971432121597) q[4];
ry(-0.21712191112053497) q[5];
ry(-0.23191795714990737) q[6];
ry(-0.07280669111549543) q[7];
ry(-0.09... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IZIIIIIIIIIZ",
"IZIIIZIIIIII",
"IIIIZZIIIIII",
"IZIIZIIIIIII",
"IIIIZIIIIIZI",
"IZIIIIIIIZII",
"IIIIIIIIIZZI",
"IIIIIIZZIIII",
"IZIIIIIZIIII",
"IIIZIZIIIIII",
"IIIZIIIIIZII",
"IIIZIIIZIIII",
"IIIIIIZIZIII",
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIIZIIIIZ... | [
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
1.25,
-0.5,
-0.25,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
0.5,
-0.25,
-0.25,
0.75,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
0,
1.25,
-0.5
] | 0.975404 | [
-0.06168957703368168,
0.10758376472103794,
0.12974254324542597,
-0.5305950565785704,
-0.010504971432121597,
-0.21712191112053497,
-0.23191795714990737,
-0.07280669111549543,
-0.0996009790837984,
0.13739552147279763,
0.23307967914440478,
0.23233319183177809,
0.26815854368547154,
-0.68478418... | {
"n_parameters": 162,
"n_qubits": 12,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 29 |
66118b4a39d9f94415b36602b745f3db | 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": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.47683253112037094, "params": [[0.07050000000000001, 0.0611, 0.044700000000000004], [-0.0794, -0.0674, -0.0476]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.013427810482450668, 0.014456338802158322], "optimization_time": 3.513960... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + 0.25 * Z(1) + -0.5 * Z(5) + 0.5... | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.12524510593503183) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.2057321989079934) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(-0.12524510593503183) q[5];
cx q[4], q[5];
cx q[1], q[5];
cx q[4], q[2];
rz(-0.2057... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IIZIIZI",
"IZZIIII",
"IZIIIZI",
"IIZIZII",
"IIIIZZI",
"IZIIZII",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
-0.25,
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
-0.5,
0.5,
0,
0.5
] | 0.959452 | [
-0.12524510593503183,
-0.2057321989079934,
0.18692089032363474,
0.6210941574237907,
0.4969742707579973,
0.9038872847986754,
-1.528486332966517,
-0.26931922132779773,
-0.442174215049874,
0.3538515939923324,
1.0125796270904612,
0.4397668488203588,
-1.1536132104223544,
-0.5382064669199504,
... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
8fcf50f85ec3dd02c0199581a34889e9 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [0, 1008], "expectation_value": -7.399571831630282, "params": [0.4441, 2.2577000000000003, 0.18710000000000002, 0.0059, 0.8791, 1.7424000000000002, 0.7456, 0.0031000000000000003, -0.9024000000000001, 1.0417, 0.2235, 0.0079, -0.9091, 0.6676000000000001, 0.38470000000000004, 0.0078000000000000005, 0.9081, 0.65... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 1.0 * Z(7) + -1.5 * Z(6) + -1.5 * Z(9)... | 6 | 10 | 1 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["0000001111", "0000000011", "0000001100"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.17964282078365862) q[0];
rz(-1.4325178214387142) q[0];
rx(0.13177528306522893) q[1];
rz(1.6866205701580137) q[1];
rx(3.0459017455715838) q[2];
rz(1.6140134416492646) q[2];
rx(-2.3270221287958153) q[3];
rz(1.4220167681406473) q[3];
rx(2.1839997313437873) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIZZIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII"
] | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
-1.5,
1
] | 0.971241 | [
0.17964282078365862,
3.2798711589459755,
0.1317752830652289,
0.11582424336311689,
-3.237283561608003,
0.0432171148543675,
-2.3270221287958153,
-0.1487795586542503,
2.1839997313437873,
0.13580493609640423,
-1.7368219800039917,
0.12714822573027604,
0.005937208965064021,
1.3158115210729797,
... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 220 |
4b4df5d05df608c0366af92253893227 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -8.763819661157592, "params": [0.0017000000000000001, 0.0064, 0.0023, 0.0027, 0.0023, 0.0086, 0.0023, 0.003, 0.0026000000000000003, 0.0002, 0.0023, 0.0036000000000000003, 0.0024000000000000002, 0.0015, 0.0026000000000000003, 0.0091, 1.5985, 0.0097, 0.006900000000000001, 0.001, 0.... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(1)) + 1.25 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(4)... | 3 | 9 | 1 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["100000000", "111111110"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.07637812189088654) q[0];
rz(-0.031662487070781786) q[0];
rx(0.03006134840422924) q[1];
rz(0.009404066348106976) q[1];
rx(0.030061348404229242) q[2];
rz(0.0003548583340777789) q[2];
rx(0.03006134840422924) q[3];
rz(0.0980014272162335) q[3];
rx(-0.022922211057974238)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IZIIIIIIZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIIZZI",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIIZI",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIZI",
"IZIZIIIII",
"IIIZIZIII",
"IZZIIIIII",
"IIZIIIZII",
"IIZZIIIII",
"... | [
-0.5,
-0.5,
-0.25,
1.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
0.25,
-0.25,
-0.75,
0.25,
0,
0.75,
-1.25,
0,
1
] | 0.974044 | [
0.07637812189088654,
-0.09440168892613927,
0.030061348404229242,
0.08536205555556856,
-0.025878329910601128,
0.017053295738432672,
-0.022922211057974238,
0.04609335158263715,
-0.1446803862162822,
0.10750055413767842,
0.1605299272953793,
0.16234299225842572,
2.1505603347659568,
-0.018128199... | {
"n_parameters": 21,
"n_qubits": 9,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 4 |
ec9ff3207d000463c19c23961aa86ce6 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [888, 1017], "expectation_value": -13.728475942175086, "params": null, "bitstrings": ["0010000111", "0000000110"], "total_optimization_steps": 100, "probabilities": [0.1324281634878713, 0.39768590057362624], "optimization_time": 153.83466053009033} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + -1.0 * Z(8) + -1.0 * Z(7) + 0.5 * Z(... | 5 | 10 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0000000110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.5052530082090905) q[0];
h q[1];
ry(-0.009243059390101133) q[1];
h q[2];
ry(0.7897296108867939) q[2];
h q[3];
ry(0.3684999598537079) q[3];
h q[4];
cx q[4], q[3];
ry(-0.3684999598537079) q[3];
cx q[4], q[3];
cx q[3], q[0];
ry(-0.5052530082090905) q[0];
cx q[... | null | {"node": 6} | {"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[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIZZIIIII",
"IZZIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"IIIIIIIZII",
"ZIIIIIIIII"
] | [
-2,
-2,
-2,
1,
-2,
-2,
-1,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5
] | 0.946003 | [
0.7369999197074159,
1.010506016418181,
-0.018486118780202267,
2.786678331503421,
-0.35516717076301857,
0.0030376569410825657,
1.3419868022816568,
-0.03517863644216987,
-0.05231290514712812,
-1.3470583962394158,
-1.7271316915640658,
1.5794592217735879,
1.2534933124978211,
0.3305700410441207... | {
"n_parameters": 47,
"n_qubits": 10,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 500 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": ... | {"states": [21, 7], "expectation_value": -6.592440922385128, "params": null, "bitstrings": ["101010", "111000"], "total_optimization_steps": 55, "probabilities": [0.1059757887840329, 0.601976266942785], "optimization_time": 59.36293292045593} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 18 | 6 | 2 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], 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];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
3eae9571be99206e8d251c5f1caa9c72 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}, {"source": 6, "target":... | {"states": [0, 511], "expectation_value": -7.350433102308698, "params": [-0.2058, 0.6489, 0.6327, 0.006200000000000001, -0.8410000000000001, 0.4304, 0.795, 0.0068000000000000005, -0.9607, 0.7079000000000001, 0.3387, 0.0011, 0.9444, 0.9356000000000001, -0.013000000000000001, 0.0091, 0.8914000000000001, 1.3028, -0.120400... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -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 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3) + 0.5 * Z(2) + -1.0 * Z(4) + 0.5 * Z(8) + 0.5 * Z(5) + 0.... | 6 | 9 | 1 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.38195054971176035) q[0];
rz(1.4906148942791582) q[0];
rx(-1.3991219864922113) q[1];
rz(1.5285724814751944) q[1];
rx(-2.767107125818454) q[2];
rz(1.495278141948834) q[2];
rx(-3.124706048720333) q[3];
rz(2.452913844629382) q[3];
rx(0.2831625939787221) q[4];
rz(2.661... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIZZIIIII",
"ZZIIIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"ZIIIIIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
-1,
-1.5,
-2,
0.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.970036 | [
-0.3819505497117604,
-0.08018143251573825,
-1.3991219864922115,
-0.04222384531970143,
-2.767107125818454,
-0.07551818484606285,
3.158479258459254,
0.8821175178344853,
0.28316259397872207,
1.0906726956194261,
0.1384470194445426,
1.2876044893166538,
-0.10831868776595631,
0.8385119930996024,
... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 158 |
b35b67be6f13e1c7d0fe900b84e9f3d0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [82, 83], "expectation_value": -3.2035603731669675, "params": [[[1.7047, 0.009600000000000001], [0.039, 0.0071], [1.7018, 0.0073], [1.4913, 0.0021000000000000003], [-0.0017000000000000001, 0.0081], [1.7113, 0.0067], [1.6284, 0.0017000000000000001]]], "bitstrings": ["0101101", "0101100"], "total_optimization_... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101100", "0100101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-3.1044154877547934) q[0];
ry(-0.14624712835197728) q[1];
rz(-pi) q[1];
h q[2];
ry(1.517125227600992) q[2];
h q[3];
ry(-0.46439454295052995) q[3];
h q[4];
ry(-1.658138407290251) q[4];
h q[5];
ry(1.517125227600992) q[5];
h q[6];
cx q[6], q[3];
ry(0.46439... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIZIIIZ",
"IIZIZII",
"IIIIZZI",
"IIZZIII",
"IIIZIZI",
"IZZIIII",
"IZIIIZI",
"ZIZIIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-1,
-1,
-0.5,
-0.5
] | 0.993886 | [
-1.658138407290251,
-1.3759637991255074,
1.517125227600992,
-0.9287890859010599,
0.5798954614756153,
-0.5155606941877574,
0.49240477016956247,
-0.38839652885064646,
0.12744775508000605,
-0.18718229301267325,
0.18169653005780909,
0.1441821903289413,
0.11969662451446915,
0.2736294279178377,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
95b1142ae8d79cc944e68dc71d440182 | 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": 7, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [32, 1], "expectation_value": -1.0156872471906353, "params": [[0.0606, 0.0731], [-0.050800000000000005, -0.059500000000000004]], "bitstrings": ["011111", "111110"], "total_optimization_steps": 10, "probabilities": [0.023918191359139203, 0.024361752331873248], "optimization_time": 1.9286937713623047} | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(3)) + -2.75 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 0.25 * Z(3) + -0.25 * Z(0) + 0.25 * Z(5) + -0.25 * Z(2) + -1.25 * Z(1) + 1.25 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["111110", "110000", "100000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.7452102939404112) q[0];
ry(-0.29282599220256483) q[1];
rz(-pi) q[1];
h q[2];
ry(0.7800172314783907) q[2];
h q[3];
h q[4];
ry(0.8044577856235101) q[4];
cx q[3], q[4];
ry(-0.8044577856235101) q[4];
cx q[3], q[4];
ry(1.2080582990283706) q[3];
ry(0.48108184132... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"ZIIIIZ",
"ZIIZII",
"IIZIZI",
"IZZIII",
"IZIZII",
"IZIIZI",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIIIZI",
"IZIIII"
] | [
-0.75,
1,
-0.75,
-0.75,
-2.75,
-1,
-0.5,
0.25,
-0.25,
0.25,
-0.25,
-1.25,
1.25
] | 0.974145 | [
1.6089155712470202,
1.0304510352944072,
0.4810818413241434,
0.3552145274679267,
1.5600344629567815,
1.6286797946394622,
-1.4904205878808223,
-1.2881797724217239,
-0.016202039678616637,
0.011782440981039097,
0.020418875658783947,
0.006648626917140368,
-0.03701390813287764,
-0.02840884860849... | {
"n_parameters": 22,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 2 |
40f73a69cc5b4385088859a36eaf639e | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"sour... | {"states": [418, 482], "expectation_value": -5.9791017957425705, "params": [0.9091, 0.004200000000000001, 0.9068, 0.0094, 0.9027000000000001, 0.0002, 0.9064000000000001, 0.0001, 0.7939, 0.0149, 0.7895000000000001, 0.0088, 0.9054000000000001, -0.0012000000000000001, 0.9024000000000001, 0.0095, 0.0038, 0.529, 0.0038, 0.0... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(7) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["000011101", "001010101"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.961477221641816) q[0];
rz(0.26218704936223425) q[0];
rx(1.7644143554215024) q[1];
rz(-0.0018002361227388505) q[1];
cx q[1], q[0];
rz(-0.20360112794028928) q[0];
cx q[1], q[0];
rx(1.288880650078247) q[0];
rz(0.49233976251100287) q[0];
rx(1.408265401812398) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IIIIZIIZI",
"IIIIZIZII",
"IIZIIIZII",
"IIIZZIIII",
"IIZZIIIII",
"IIIZIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIIIIZIII",
"IZIIZIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"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,
0.5,
0.5,
-3,
-0.5,
-2,
0,
-1.5,
-1.5,
-2,
0,
0
] | 0.979252 | [
1.961477221641816,
0.058585921421945186,
1.7644143554215024,
-0.0018002361227388505,
1.4921331062716865,
0.16615045435575132,
1.35074240709407,
-0.0850814647392898,
-0.050314805331877877,
-0.002924239392226302,
0.09809239327578306,
-0.23386048816391347,
-0.09038838951145368,
-0.79359080616... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 22 |
a267e3e1d64f15054caebe2b896f4f20 | 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": [174, 173], "expectation_value": -121.78517298453907, "params": [0.0029000000000000002, -2.4891, -0.0027, -0.8933000000000001, 0.0028, 0.9245000000000001, 1.9936, 0.0183, 0.0026000000000000003, 0.11470000000000001, 2.0003, 0.48910000000000003, -0.0033, 2.3603, 1.5743, 0.0396, 1.5688, 0.0023, 1.0042, 0.286500... | 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(0) @ Z(5)) + 8.0 * (Z(7) @ Z(3)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(8) @ Z(9)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(10) @ Z(9)) + 15.0 * Z(3) + -7.0 * Z(2) + 11.0 * Z(4) + 9.5 * Z(5) + -7.0 * Z(0) + 22.5 * Z... | 16 | 11 | 2 | {"smallest_eigenvalues": [-128.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -117.5, "smallest_bitstrings": ["11101010010"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.07805499953864266) q[0];
rz(-1.9824619774317265) q[0];
rx(-0.04137708918768473) q[1];
rz(-1.0645678892394086) q[1];
cx q[1], q[0];
rz(-0.44493967892084496) q[0];
cx q[1], q[0];
rx(-0.07805499953864266) q[0];
rz(0.12992452533616294) q[0];
rz(-0.44849532047777557) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIIZIIIZIII",
"IIIZIIZIIII",
"IZIZIIIIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IIZIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIIIIIIIZ",
"IIIZIIIIIII",
"IZIIIIIIIII",
"IIZIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
15,
-7,
11,
9.5,
-7,
22.5,
8.5,
14,
-4,
-2,
-15
] | 0.972003 | [
-0.07805499953864264,
-2.4274016563525715,
-0.04137708918768473,
-1.0645678892394086,
-0.10824895646773759,
0.9255987777485988,
2.1634898714493516,
-0.04809522134654434,
-0.02524200398296615,
0.12947696075737258,
2.033189667113542,
0.48934327461653643,
-0.203796701315235,
2.128703386403022... | {
"n_parameters": 57,
"n_qubits": 11,
"optimal_eigenvalue": -128.5,
"target_ratio": 0.97,
"target_value": -124.645
} | 7 |
f9bee249f44c25e9cf092d52cb18e2af | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 12, "source": 1, "target": 5}, {"weight": 15, "sourc... | {"states": [482, 226], "expectation_value": -31.68202768654898, "params": [[[0.6902, 0.1575], [0.9953000000000001, -0.0017000000000000001], [1.006, 0.0027], [0.9969, -0.0025], [0.0025, 0.7249], [0.0024000000000000002, 0.7363000000000001], [0.0828, -0.46540000000000004], [1.0057, 0.0022], [0.5920000000000001, -0.1904]],... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(7)) + 4.5 * Z(1) +... | 1 | 9 | 2 | {"smallest_eigenvalues": [-56.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["100011101"], "largest_eigenvalue": 108.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(2.1834866315992185) q[0];
ry(0.28348127742607304) q[0];
rz(-1.1359164064152871) q[0];
rz(0.184861908511734) q[1];
ry(2.9219910892200622) q[1];
rz(-2.9054799216026126) q[1];
rz(-2.226233043282372) q[2];
ry(2.987959282107838) q[2];
rz(1.4187598235609062) q[2];
rz(2.011... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIIIZII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
4.5,
1,
7.5,
4,
-12,
-6.5,
-5,
8,
0
] | 0.971227 | [
0.010539211654694763,
0.6341529060025493,
1.739486642281003,
-0.22047974125973435,
1.7618477553055107,
0.09362907027569467,
1.6384167748752243,
0.16865810162217929,
0.062246327814559854,
0.5565107899327164,
-0.08212885008150264,
0.4595154859835038,
0.09410734705296069,
-0.6202825391766212,... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -56.5,
"target_ratio": 0.97,
"target_value": -54.805
} | 14 |
1309997039305607003 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 5], [1, 3, 4, 6, 8], [8, 0, 3, 4], [1, 2, 4, 7, 8, 9], [1, 2, 3, 4], [0, 1, 4, 5, 6, 7, 8], [2, 5, 6, 7, 9], [0, 9], [1, 2, 5, 8, 9], [2, 4, 5, 8, 9], [9, 4, 6]]} | {"states": [958, 954], "expectation_value": -2.6169384911772937, "params": [1.2481, -0.0137, 1.2564, 0.006, 1.4904000000000002, -0.2753, 1.4833, -0.5369, 1.4848000000000001, 0.4622, 1.4925000000000002, 0.0035, 0.2544, -0.7535000000000001, 0.2073, -0.6799000000000001, 1.4925000000000002, 0.0007, 1.4936, 0.0064, 1.4191, ... | 0.5 * (Z(3) @ Z(5)) + 0.07380952380952381 * (Z(1) @ Z(5)) + 0.13333333333333333 * (Z(1) @ Z(3)) + 0.07380952380952381 * (Z(4) @ Z(5)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.1904761904761905 * (Z(4) @ Z(1)) + 0.07380952380952381 * (Z(6) @ Z(5)) + 0.05 * (Z(6) @ Z(3)) + 0.07380952380952381 * (Z(6) @ Z(1)) + 0.24047619... | 8 | 10 | 1 | {"smallest_eigenvalues": [-2.9761904761904763], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8928571428571423, "smallest_bitstrings": ["0001000101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.5597203758694098) q[0];
rz(1.6046855618381866) q[0];
rx(1.5059073621135366) q[1];
rz(-0.025452162726318853) q[1];
cx q[1], q[0];
ry(-0.1976088268043795) q[0];
cx q[1], q[0];
ry(1.652440553112249) q[0];
rz(-1.5155750231844625) q[0];
rx(1.1045866669062803) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZIII",
"IIIIZIIIZI",
"IIIIIIZIZI",
"IIIIZZIIII",
"IIIIIZZIII",
"IIIIIZIIZI",
"IIIZZIIIII",
"IIIZIIZIII",
"IIIZIIIIZI",
"IIIZIZIIII",
"IZIIZIIIII",
"IZIIIIZIII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZIZIIIIII",
"IIIIZIIIIZ",
"IIIIIIZIIZ",
"IIIIIIIIZZ",
"IIIIIZIIIZ",
"IIIZIIIIIZ"... | [
0.5,
0.07380952380952381,
0.13333333333333333,
0.07380952380952381,
0.21666666666666667,
0.1904761904761905,
0.07380952380952381,
0.05,
0.07380952380952381,
0.24047619047619045,
0.12380952380952381,
0.13333333333333333,
0.15714285714285714,
0.24047619047619045,
0.07380952380952381,
0.0... | 0.972064 | [
1.5597203758694098,
0.03388923504329002,
1.5059073621135366,
-0.025452162726318853,
1.5861646423290379,
-0.027692086211949754,
-0.06405311515197179,
-0.7540363877461279,
1.3918107236148543,
-0.13569071912634761,
1.5268429589314123,
0.007744802862232824,
1.469110469307601,
-0.1298754301189,... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -2.9761904761904763,
"target_ratio": 0.97,
"target_value": -2.886904761904762
} | 12 |
74c477dbe35486055f0a39f50499e44b | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [19, 35], "expectation_value": -4.496304669534965, "params": null, "bitstrings": ["1101100", "1011100"], "total_optimization_steps": 26, "probabilities": [0.06706465420812466, 0.929503514656955], "optimization_time": 20.32011365890503} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 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(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(2) + -1.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101100", "1011100", "1110100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.568945961229374) q[0];
h q[1];
h q[2];
ry(-0.5024873650502395) q[2];
cx q[1], q[2];
ry(0.5024873650502395) q[2];
cx q[1], q[2];
ry(0.8057412380043845) q[1];
ry(-0.6760381192098136) q[2];
ry(-0.0029617717683342185) q[3];
rz(-pi) q[3];
rz(-pi) q[4];
ry(-0.00... | 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",
"IIZIIIZ",
"IZIIIIZ",
"IZZIIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"IIIZIZI",
"IIZZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1.5,
-0.5,
-0.5,
-0.5,
-1
] | 0.996487 | [
-1.568945961229374,
-1.559719298141302,
-1.5352660551683317,
1.4579616084211091,
-1.004974730100479,
0.6444560256809038,
-0.48152347261538897,
0.3225704246469614,
-0.3890292931888493,
0.4142452803912122,
-0.07952619820417396,
-0.06513699971646146,
0.28140873634541574,
0.05302805438889746,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
3226404029621620096 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8], [2, 5], [4, 5], [3, 5], [1, 4], [4, 6], [0, 7]]} | {"states": [368, 396], "expectation_value": -0.06953436396983428, "params": [[0.0703], [-0.0719]], "bitstrings": ["010001111", "001110011"], "total_optimization_steps": 10, "probabilities": [0.0022369369305031556, 0.0022369369305031556], "optimization_time": 0.5614454746246338} | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(7) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["101110000", "110001100", "010001111", "001110011"], "largest_eigenvalue": 3.5} | 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];
cx q[5], q[2];
rz(0.9090567190169905) q[2];
cx q[5], q[2];
rz(1.4348740151604034e-07) q[2];
rx(-0.7853981964435243) q[2];
cx q[5], q[4];
rz(0.9090567190169905) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(0.9090567190169905) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[8], q[0];
rz(x0) q[0];
cx q[8], q[0];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIZ",
"IIIZIIZII",
"IIIZZIIII",
"IIIZIZIII",
"IIIIZIIZI",
"IIZIZIIII",
"IZIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIZIIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.535036 | [
0.9090567190169905,
1.434874014763973e-7,
-0.7853981964435243
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 100 |
c56c2877af399618eed59922d59f8e87 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 1, "target": 2}, {"source": 3, "ta... | {"states": [183, 55], "expectation_value": -3.4078469188403946, "params": [0.33, -0.0032, 0.12380000000000001, 0.0048000000000000004, 0.395, 0.0001, 0.40130000000000005, 0.0027, 0.0392, 0.1301, 0.399, 0.0014, 0.40080000000000005, 0.0005, 0.4098, -0.0025, 0.3335, -0.0015, 0.1015, 0.0066, 0.40180000000000005, -0.001, 0.4... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * Z(2) + 0.0 * Z(0) + -1.5 * Z(1) + -2.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(7) + 0.0 * Z(3) + 0.0 * Z(6) | 4 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["11001000", "01101000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.04052163053141423) q[0];
rz(1.612626911941164) q[0];
rx(0.2060237417024173) q[1];
rz(1.5879912536568384) q[1];
rx(0.8695278739532503) q[2];
rz(1.6441074389091828) q[2];
rx(0.8537587479325162) q[3];
rz(1.4388618100455233) q[3];
rx(0.01608202282045027) q[4];
rz(1.781... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"ZIIIIIZI",
"ZIIZIIII",
"IIIZZIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
-2,
-0.5,
-0.5,
0,
0
] | 0.981974 | [
0.04052163053141422,
0.0418305851462678,
0.2060237417024173,
0.017194926861941948,
0.86952787395325,
0.07331111211428566,
0.8537587479325162,
-0.13193451674937284,
0.01608202282045027,
0.21053964208337417,
0.5235390903879795,
-0.03732032588440523,
0.4744612096092802,
0.09669413733847705,
... | {
"n_parameters": 87,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 25 |
1b85dbadf49d5e00f9e47be861e776c4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [46, 42], "expectation_value": -4.131138826512445, "params": [[[-0.0031000000000000003, 0.0023], [1.641, 0.00030000000000000003], [-0.0061, 0.0043], [1.7000000000000002, 0.0025], [1.5243, 0.0025], [1.7014, 0.0001], [-0.0047, 0.006200000000000001]]], "bitstrings": ["1010001", "1010101"], "total_optimization_s... | 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(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1110001", "1010101"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.13453324330091465) q[0];
rz(1.0753513770848593) q[0];
rx(2.975746346254277) q[1];
rz(-0.6781668590082865) q[1];
rx(-0.2367256632155181) q[2];
rz(-0.22310665326415446) q[2];
rx(2.89712186884282) q[3];
rz(-0.1081053917582111) q[3];
rx(0.3607917338098562) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-1.5,
-0.5,
-1.5,
-1.5,
0
] | 0.974192 | [
-0.13453324330091465,
1.0753513770848593,
2.975746346254277,
-0.6781668590082865,
-0.2367256632155181,
-0.22310665326415446,
2.89712186884282,
-0.1081053917582111,
0.3607917338098562,
3.4678529874554633,
1.0387317108088614,
-0.09274751190222191,
-0.35032557567080463
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 16 |
273e88646827d92b6c5865b20625f93e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1612, 589], "expectation_value": -60.576912316482925, "params": [[[0.48800000000000004, 0.114], [0.6043000000000001, 0.1308], [0.1996, 0.1125], [-0.0201, 0.029500000000000002], [0.5982000000000001, 0.4183], [0.1925, 0.5954], [0.18280000000000002, 0.0393], [0.13620000000000002, 0.6024], [0.1796, 0.5991000000... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(4)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(3) @ Z(7)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(9) @ Z(8)) + 6.5 * (Z(10) @ Z(0)) + 6.5 * (Z(10) @ Z(8)) + 6.5 * (Z(10) @ Z(9)) + 3.5 * Z(0) + 5.5 * Z(1) + 7.0 * Z(4) + -2.0 * Z(2) + 0.5 * Z(5) + 5.5 * Z(7... | 15 | 11 | 4 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.0, "smallest_bitstrings": ["10110110010"], "largest_eigenvalue": 120.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.7180270978520188) q[0];
ry(1.0162898749278786) q[1];
ry(0.03679280392719699) q[2];
ry(-0.02129922800358014) q[3];
ry(1.0028240801675548) q[4];
ry(-0.03135158323501579) q[5];
ry(-0.05190844395293847) q[6];
ry(0.2865998676837038) q[7];
ry(0.19674696757782453) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIZII",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIZIIIZIII",
"IIIZZIIIIII",
"IIZIZIIIIII",
"IZZIIIIIIII",
"ZIIIIIIIIIZ",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIIIIZII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIIIIZIII",
"IIIIZIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
3.5,
5.5,
7,
-2,
0.5,
5.5,
-6,
5,
12.5,
3.5,
13.5
] | 0.971011 | [
0.7180270978520188,
1.0162898749278786,
0.03679280392719699,
-0.02129922800358014,
1.0028240801675548,
-0.03135158323501579,
-0.05190844395293847,
0.2865998676837038,
0.19674696757782453,
0.35752802353250795,
0.2655650892907899,
0.0660421395633645,
0.009895316526506059,
0.06216467212534454... | {
"n_parameters": 87,
"n_qubits": 11,
"optimal_eigenvalue": -98,
"target_ratio": 0.97,
"target_value": -95.06
} | 68 |
2285c8c3b79d7ff02ba0dadb13c19c7a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 1, "ta... | {"states": [61, 29], "expectation_value": -2.0315950985388045, "params": [0.08710000000000001, -0.3528, 0.09330000000000001, 0.3582, 0.7834, 0.15130000000000002, 0.7989, -0.0001, 0.7907000000000001, -0.0005, 0.7982, 0.18810000000000002, 0.5934, 0.47990000000000005, 0.8086, 0.058100000000000006, 0.0876, 0.00930000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(6) + -1.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(3) + 0.0 * Z(5) | 3 | 8 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["11001010", "11001100", "11100100", "01101010", "11100010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.3077263988835566) q[0];
rz(-0.38763697434333544) q[0];
rx(-0.005551205914203799) q[1];
rz(0.3915557941793324) q[1];
rx(-0.3326226793711689) q[2];
rz(-0.3883975260403112) q[2];
rx(1.8237088796489198) q[3];
rz(0.19347827079338709) q[3];
rx(2.58356448439763) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIZII",
"IIIZIIIZ",
"IZIIIIIZ",
"IZIIIIZI",
"ZIIIIIZI",
"IIIIZIZI",
"IZZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIZIII",
"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,
0,
0
] | 0.973688 | [
-0.30772639888355646,
-0.4316294078727488,
-0.0055512059142037995,
0.39878683157661515,
-0.33262267937116885,
-0.4046239450042072,
1.82370887964892,
0.08900786354235,
2.58356448439763,
-0.5079344776276302,
1.5703983439352895,
-0.033185150682215676,
-0.14493869179831706,
0.3674288481503181,... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 32 |
919ebe96150ea33963e1b88a334f3105 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 3, ... | {"states": [123, 127], "expectation_value": -4.227183179284814, "params": null, "bitstrings": ["10000100", "10000000"], "total_optimization_steps": 73, "probabilities": [0.3544920382352946, 0.5374424118356347], "optimization_time": 95.7890830039978} | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.25 * Z(7) + -0.25 * Z(0) + -2.5 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.47997180051034355) q[0];
h q[1];
ry(0.7419521490927121) q[1];
h q[2];
ry(0.7805616775622914) q[2];
h q[3];
ry(1.6653574126053823) q[3];
h q[4];
ry(0.8326787063026911) q[4];
h q[5];
ry(0.8326787063026911) q[5];
cx q[3], q[5];
ry(-0.8326787063026911) q[5];
c... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... | [
"ZIIIIIIZ",
"IZIIIIZI",
"IIIIIZZI",
"IZIIZIII",
"IZIZIIII",
"IIIZIZII",
"IIIZZIII",
"ZIZIIIII",
"IZZIIIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.25,
-1.25,
-1,
-0.75,
-0.75,
-0.75,
-1.5,
-0.5,
-0.25,
-1.75,
-0.25,
-1.25,
-0.25,
-0.25,
-2.5,
-1.5,
0.25,
2.5,
-0.25,
2
] | 0.982925 | [
1.6653574126053823,
1.561123355124583,
1.4839042981854242,
1.4663457416610364,
-0.9599436010206871,
1.605096316058872,
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0.1743353193150963,
0.01566324934925098,
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0.5585485193403721,
0.1633788020804623,
-0.4348264220333006,
-0.22682935549148475,
0... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 5 |
ce01a8dd69efe051660e041c3c8742f7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"sour... | {"states": [161, 169], "expectation_value": -5.311464688933112, "params": [[0.32, 0.5995, -0.012700000000000001, 0.6108, 0.08710000000000001, 0.596, -0.0211, -0.02, 0.6057], [0.279, 0.6042000000000001, -0.0085, 0.6089, 0.23700000000000002, 0.6035, -0.0128, -0.0244, 0.6083000000000001], [0.5727, 0.5992000000000001, -0.0... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) ... | 10 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.0, "smallest_bitstrings": ["001111100", "101010110", "001001111", "001011110", "000101111"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.10817888227674628) q[0];
ry(1.4050376236525257) q[1];
ry(-0.12308485800628692) q[2];
ry(1.1845573112567458) q[3];
ry(0.043953196345625584) q[4];
ry(0.7703714182927857) q[5];
ry(-0.30489737009395934) q[6];
ry(-0.010236569307063792) q[7];
ry(0.7551302831257907) 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": []} | [
"IIIZIIIIZ",
"IIZZIIIII",
"IIZIIIIIZ",
"IIZIIIIZI",
"IIIZIIZII",
"IIZIIIZII",
"IIIIIZZII",
"IZIZIIIII",
"IZIIIIZII",
"IZIIIZIII",
"ZIIIIIZII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"... | [
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,
-0.5,
-2,
0,
-2,
-0.5,
-1.5,
-0.5,
-1.5
] | 0.985392 | [
-0.10817888227674628,
1.4050376236525257,
-0.12308485800628692,
1.1845573112567458,
0.043953196345625584,
0.7703714182927857,
-0.30489737009395934,
-0.010236569307063792,
0.7551302831257907,
-0.06613182221175329,
0.9679675271298586,
-0.11419644704056958,
1.0927321743944298,
-0.055620809673... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 21 |
2c6d895f788675d7b5a17eb0b56c7f21 | 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": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -11.363320815829212, "params": [0.0034000000000000002, 0.4887, 0.0028, 0.607, 0.0028, 0.5991000000000001, 0.0028, 0.6028, 0.0026000000000000003, 0.5823, 0.0027, 0.6023000000000001, 0.0022, 0.6039, 0.0005, 0.3125, 0.8035, -0.0037, 0.0034000000000000002, -0.2992, 0.0028, 0.068, 0.0... | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + 2.5 * (Z(8) @... | 4 | 9 | 2 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 12.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(4.3629072007041083e-08) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(-1.5707963418346225) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(4.3629072007041083e-08) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(2.7517660026727992... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIZZIII",
"IIIIZIIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIZII",
"IIIIIIZZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZIIIIZI",
"IIZIIIZII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIIIIIZII",
"IZIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"... | [
-0.75,
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-0.75,
-0.5,
-0.75,
-0.25,
-1,
-1.25,
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-0.5,
-0.75,
2.5,
-0.5,
-0.5,
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-2.25,
-0.25,
0.5,
-0.25,
0,
1.25,
-0.25,
1.5,
-0.25
] | 0.54985 | [
4.3629072007041083e-8,
-1.5707963418346225,
2.7517660026727992e-8,
-1.5707964746258296,
1.6390483142239273e-8,
-4.2150383213254934e-8,
-1.074872969603381,
5.2347251263603584e-8,
-7.188886353220329e-8,
6.350576054583836e-8,
1.5707962606345,
-1.4575326280026895
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 317 |
fbed7eb759f2b5af245b5b20e03cfb23 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [3, 34], "expectation_value": -2.4666677299505984, "params": [[0.0714, 0.0683, 0.07440000000000001, 0.0658], [-0.07780000000000001, -0.066, -0.0728, -0.0608]], "bitstrings": ["111100", "011101"], "total_optimization_steps": 10, "probabilities": [0.03563797111693057, 0.03563797111693059], "optimization_time":... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(1) + -1.5 * Z(0) + -2.0 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["111100", "111001", "011101"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.09362127717423929) q[0];
rz(0.15898723948650006) q[0];
rx(0.01271788291818901) q[1];
rz(-0.3274973128640216) q[1];
rx(-0.2979108091192296) q[2];
rz(-0.003237763520752778) q[2];
rx(-0.02397760534694167) q[3];
rz(0.10163948195161117) q[3];
rx(0.1688669766569415) 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": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IZIIZI",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
-1.5,
-1.5,
-0.5
] | 0.970137 | [
0.09362127717423929,
0.15898723948650006,
0.01271788291818901,
-0.3274973128640216,
-0.2979108091192296,
-0.003237763520752778,
-0.02397760534694167,
0.10163948195161117,
0.1688669766569415,
0.1069285924342987,
2.117206731621425,
0.2152560063760715
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -40,
"target_ratio": 0.97,
"target_value": -38.8
} | 5 |
e0ade851c431314b420faf30ab55361c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [95, 127], "expectation_value": -0.14938176341125353, "params": [[-0.0558], [0.0592]], "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.00440821424502412, 0.004457254723850501], "optimization_time": 1.9251980781555176} | -0.25 * (Z(0) @ Z(3)) + -1.0 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + -1.0 * Z(7) + 1.0 * Z(4) + -0.5 * Z(2) + 0.25... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000000", "10100000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.19637994446285023) q[0];
ry(0.004434294848134298) q[1];
ry(-0.1529448115883161) q[2];
ry(0.301627268796102) q[3];
ry(0.10999680651813609) q[4];
ry(-0.26260379773277104) q[5];
ry(1.1283519390608232) q[6];
ry(-0.21232730790856036) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
r... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIIZIIII",
"IIIZIZII",
"IZIIZIII",
"IZIZIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII"
] | [
-0.25,
-1,
-0.5,
0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-1.5,
-0.25,
0,
-0.25,
0.25,
-1,
1,
-0.5,
0.25,
0.25
] | 0.97048 | [
0.19637994446285023,
0.004434294848134298,
-0.1529448115883161,
0.301627268796102,
0.10999680651813609,
-0.26260379773277104,
1.1283519390608232,
-0.21232730790856036,
0.03586905306606689,
0.052918349226921346,
0.06425495830263805,
-0.0252208040845944,
-0.06921812913884703,
0.0616679116071... | {
"n_parameters": 42,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 62 |
-1790666968945599466 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1], [9, 7], [1, 7], [8, 1], [1, 4], [9, 10], [9, 2], [1, 2], [8, 7], [3, 5], [5, 6], [9, 3], [4, 7], [8, 9], [10, 4], [9, 4], [3, 6], [8, 6], [0, 8], [0, 9], [3, 7], [4, 6], [0, 2], [10, 3], [2, 5], [4, 5], [10, 7]]} | {"states": [485, 453], "expectation_value": -5.488791394482802, "params": [[[1.1409, -0.0036000000000000003, 0.0009000000000000001, 0.0053], [0.0545, -0.0036000000000000003, 3.0675000000000003, 0.0074], [1.5715000000000001, 0.0027, 1.5744, 0.0041], [-0.002, -1.1469, -0.002, 0.0016], [1.5738, -0.0028, 1.5677, 0.0025], [... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(... | 11 | 11 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -5.5, "smallest_bitstrings": ["01000111011", "01000110011", "00111000100", "00111000101", "10111001100", "11000111011", "01000111010", "00111001100", "10111000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.357988567165015) q[0];
rz(0.1646204589912317) q[0];
ry(-0.10696875404940595) q[1];
rz(0.1646204589912317) q[1];
cx q[1], q[0];
ry(3.160862579996841) q[1];
rz(0.012983246344188959) q[1];
ry(1.4954888367627304) q[2];
rz(-0.02702823562557337) q[2];
ry(-0.011585459271... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IZIIIIIIIIZ",
"IIIZIIIIIZI",
"IZIZIIIIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IZZIIIIIIII",
"IIZZIIIIIII",
"IIIIIIZIIZI",
"IZIIIIZIIII",
"IIIZIIZIIII",
"ZZIIIIIIIII",
"ZIIZIIIIIII",
"ZIIIIIZIIII",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IZIIIIIIZII",
"IZIIIIIZIII",
"IIIZIIIZI... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970728 | [
1.357988567165015,
0.1646204589912317,
-0.10696875404940595,
1.4954888367627304,
-0.02702823562557337,
-0.011585459271069146,
-1.0510851714933853,
1.49310014017999,
0.06367250187433167,
3.0601998878258914,
-1.0451993635766974,
1.6265644917817523,
0.08487299540729083,
1.7031765655407607,
... | {
"n_parameters": 37,
"n_qubits": 11,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 11 |
a7f4483aef8d784b8eb74cfa73b44512 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [200, 216], "expectation_value": -2.8118603585635062, "params": [[[1.6129, 0.0023], [1.5993000000000002, 0.0038], [-0.0024000000000000002, 0.007500000000000001], [1.5992000000000002, 0.0077], [1.6061, 0.0067], [0.0021000000000000003, 0.0055000000000000005], [0.9989, 0.0064], [0.002, 0.001]]], "bitstrings": [... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(3) @ Z(0) @ Z(1)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(5... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.875, "smallest_bitstrings": ["00100111"], "largest_eigenvalue": 7.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(3.0917939187026944) q[0];
rz(0.2904185815313262) q[0];
rx(2.785202396948293) q[1];
rz(0.46613496486166967) q[1];
rx(0.10576316076455992) q[2];
rz(0.5240138534555867) q[2];
rx(2.980980972973647) q[3];
rz(-0.9739905904108447) q[3];
rx(2.913789240005765) q[4];
rz(-0.344... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIZZIIII",
"IIIZIIIZ",
"IZIIIIIZ",
"IZIZIIII",
"IZIZIIIZ",
"IZIIIIZI",
"ZIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.125,
-0.125,
-0.625,
-0.125,
-0.25,
-1,
-0.25,
-1
] | 0.985164 | [
3.0917939187026944,
0.2904185815313262,
2.785202396948293,
0.46613496486166967,
0.10576316076455992,
0.5240138534555867,
2.980980972973647,
-0.9739905904108447,
2.913789240005765,
-0.3444858949552634,
-0.03571019147062529,
0.6167451590987563,
-0.08110847048626792,
-0.007573432631595545,
... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -4.875,
"target_ratio": 0.97,
"target_value": -4.72875
} | 15 |
20b257e7ab3ea05503daa46ec3868b05 | 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": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1, 3], "expectation_value": -10.548323228983083, "params": [[[0.2992, -0.25720000000000004], [0.37720000000000004, -0.2175], [0.3786, 0.2156], [0.1993, 0.29460000000000003], [0.7971, 0.0006000000000000001], [0.7968000000000001, 0.0002]], [[0.30210000000000004, 0.001], [0.3728, 0.0035], [0.38020000000000004,... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5... | 1 | 6 | 2 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.5548614983032758) q[0];
h q[1];
ry(-0.4336582153180486) q[1];
h q[2];
ry(-1.5596846869202525) q[2];
h q[3];
ry(1.5548614983032758) q[3];
ry(-0.026435782347820826) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[1];
ry(0.4336582153180486) q[1];
cx q[5], q[1];
ry(-0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"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,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
-5.75,
-6,
-5.75,
-6.25,
-5.5,
-5.25
] | 0.998061 | [
-1.5596846869202525,
-1.4823995321635313,
1.5548614983032758,
-0.8673164306360972,
0.7054725837623831,
-0.4872816670639519,
0.6442048738368666,
-0.5016801554814053,
0.16957923580848894,
-0.12340870985442795,
0.17931583905653592,
-0.021905959185723592,
-0.12392202456708895,
0.03449940289991... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
646c4ffdec7c3b688313fcfec6df6ea9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [17, 14], "expectation_value": -0.586487075321032, "params": [[-0.049300000000000004, -0.053500000000000006, -0.0523, -0.035], [0.0641, 0.0601, 0.0601, 0.0577]], "bitstrings": ["01110", "10001"], "total_optimization_steps": 10, "probabilities": [0.051562620328123865, 0.053919569790485886], "optimization_time... | 0.5 * (Z(0) @ 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(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["10001"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(1.9669260845713552) q[0];
ry(0.1024795632901214) q[0];
rz(-1.7618896224722536) q[0];
rz(1.3195676915300085) q[1];
ry(2.675781808525202) q[1];
rz(-2.101131985716676) q[1];
rz(0.659445598074063) q[2];
ry(2.9276292745841843) q[2];
rz(-2.5769113250260087) q[2];
rz(-1.592... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"IZIIZ",
"ZIIZI",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-0.5,
-1
] | 0.973844 | [
-0.03861409541289346,
0.30559213356773784,
0.7326018024600061,
-0.06435106480608022,
0.9547122432617727,
-0.15670419204282596,
1.266054401368888,
0.002295537787968205,
-0.1307986670653961,
0.03183210554700622,
0.016147551089138828,
-0.018645541425944934,
1.0077607251862293,
1.0367697074034... | {
"n_parameters": 27,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 9 |
74a9039e61abdfc370e0e9ccbda58085 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [33, 34], "expectation_value": -2.5990800713440496, "params": null, "bitstrings": ["011110", "011101"], "total_optimization_steps": 17, "probabilities": [0.07397724748225105, 0.9005658146173622], "optimization_time": 16.058140754699707} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.625, -2.625, -2.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.625, "smallest_bitstrings": ["011110", "101101", "011101"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.477440440231795) q[0];
ry(-0.06728346725284151) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.022464637706429983) q[2];
ry(-0.14026191198045032) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-0.5587307208019142) q[5];
cx q[4], q[5];
ry(0.5587307208019142) q[5];
cx q[4],... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5158) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIIZ",
"IZIIIZ",
"IIIZIZ",
"IZZIII",
"IIZZII",
"IZIZII",
"IZZIIZ",
"IIZZIZ",
"IZIZIZ",
"IZZZII",
"IZZZIZ",
"ZIIIZI",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
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,
-0.125,
-0.5,
-0.625,
-0.125,
-0.625,
-0.5
] | 0.985036 | [
-1.51259205572021,
-1.455297284188031,
-1.5790493769346474,
1.477440440231795,
-1.1174614416038284,
0.8138164984265778,
-0.3239264793788754,
0.4355121917407859,
-0.29038767173572155,
-0.09643115070804845,
-0.028423175133358375,
0.06490628447523733,
0.1641152818115272,
-0.1905830969119133,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -2.625,
"target_ratio": 0.97,
"target_value": -2.54625
} | 1 |
38980211450f7282c15e0ab435ff2cd6 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [0, 1], "expectation_value": -6.4999926984005585, "params": null, "bitstrings": ["111111", "111110"], "total_optimization_steps": 13, "probabilities": [1.8109829322873913e-06, 0.9999981818028625], "optimization_time": 6.943362474441528} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(3) + 1.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.18057532849171046) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.18057532849171046) q[3];
cx q[2], q[3];
h q[4];
cx q[0], q[4];
rz(0.15240128173497133) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(0.4649246212783777) q[1];
cx q[4... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5681) 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 \"stdgat... | [
"IIIZIZ",
"IZIIIZ",
"IZIIZI",
"IIZZII",
"IZZIII",
"IIZIZI",
"ZIIZII",
"ZIIIIZ",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIZIII",
"ZIIIII"
] | [
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-1,
-0.25,
1.25,
0.25,
-0.25,
0,
-0.5,
-0.5,
1
] | 0.970699 | [
0.18057532849171046,
0.15240128173497133,
0.4649246212783777,
-0.16816126659960623,
-0.38958804491802196,
0.6933538979276795,
0.5762777327646811,
-0.6736008592295458,
1.3898734088318323,
0.35834720452177266,
0.2611471404449328,
0.6354636015951395,
-0.12256652965784247,
-0.6716227081292513,... | {
"n_parameters": 25,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 144 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": ... | {"states": [21, 7], "expectation_value": -6.592440922385128, "params": null, "bitstrings": ["101010", "111000"], "total_optimization_steps": 55, "probabilities": [0.1059757887840329, 0.601976266942785], "optimization_time": 70.23515582084656} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 14 | 6 | 4 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], 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];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
d7b0c7f1325be63dba8a56754a3fdc05 | 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": [1278, 1110], "expectation_value": -66.256674607243, "params": [[[-0.0339, 0.008700000000000001], [1.6794, 1.2907], [-0.0228, 1.2973000000000001], [-0.0155, 0.42260000000000003], [-1.5677, 1.5709000000000002], [1.5568000000000002, 1.5772000000000002], [1.5768, 1.5770000000000002], [1.0061, 1.5755000000000001... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(0)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(10) @ Z(1)) + 7.5 * (Z(10) @ Z(3)) + 7.5 * (Z(8) @ Z(10)) + 7.5 * (Z(9) @ Z(10)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(11) @ Z(9)) + 14.5 * Z(1) + 3.5 * Z(0) + 0.5 * Z(3) + 6.0 * Z(5) ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-138.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -117.5, "smallest_bitstrings": ["101110101001"], "largest_eigenvalue": 169.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.1217465951240947e-08) q[0];
ry(pi) q[1];
ry(6.929826008031832e-09) q[2];
ry(1.1018828415268387e-08) q[3];
ry(-1.5707963377368301) q[4];
ry(0.5774354869457072) q[5];
ry(1.5707963388705346) q[6];
ry(0.4804958291584188) q[7];
ry(1.5707963029612377) q[8];
ry(1.0796774... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIIZIIIIIIZ",
"IIIIZZIIIIII",
"IZIIIIIIIIZI",
"IZIIIIIIZIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIZZIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIZIII",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"IIIIIZIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
14.5,
3.5,
0.5,
6,
-5.5,
4.5,
8.5,
22.5,
1,
16,
-3.5,
-11.5
] | 0.729242 | [
1.1217465951240947e-8,
3.1415926505253218,
6.929826008031832e-9,
1.1018828415268387e-8,
-1.5707963377368301,
0.5774354869457072,
1.5707963388705346,
0.4804958291584188,
1.5707963029612377,
1.0796774930636249e-8,
-2.845680511149993e-8,
-3.3617807308145104e-9,
1.518941094331901e-8,
-7.831185... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -138.5,
"target_ratio": 0.97,
"target_value": -134.345
} | 490 |
c57625ce2de67c1086ad1c24582707c2 | 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": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [17, 1], "expectation_value": -1.0105389845615846, "params": [[0.0717, 0.07100000000000001, 0.0708, 0.0746], [-0.0755, -0.0668, -0.060700000000000004, -0.06470000000000001]], "bitstrings": ["101110", "111110"], "total_optimization_steps": 10, "probabilities": [0.03464526653556188, 0.03702142635333564], "opti... | -0.75 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.5 * Z(1) + -0.75 * Z(4) + 0.75 * Z(5) + 0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.25, "smallest_bitstrings": ["111110", "111010", "101010", "101110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-0.04555174660829865) q[0];
h q[1];
rz(-pi) q[2];
ry(-0.04555174660829865) q[2];
h q[3];
h q[4];
ry(-0.7617454856021101) q[4];
h q[5];
ry(1.6259872692335873) q[5];
cx q[5], q[4];
ry(0.7617454856021101) q[4];
cx q[5], q[4];
ry(0.03538166069087447) 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": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIZZI",
"IZIZII",
"ZIIZII",
"ZIIIIZ",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
-0.75,
-0.5,
-0.25,
-0.25,
1,
-0.5,
-0.75,
-0.25,
0.5,
-0.75,
0.75,
0.5
] | 0.994308 | [
1.6259872692335873,
-1.6769397797965455,
-1.5234909712042202,
0.07076332138174894,
0.09535941020082443,
0.07848445490394958,
0.12118341278670078
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 1 |
726a5ae01318539d56f80c3be6bbd791 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1497, 1502], "expectation_value": -3.0015976388331067, "params": [0.5179, 0.5367000000000001, 0.0059, -0.0025, 0.5149, 0.5195000000000001, 0.5206000000000001, 0.5239, 0.5247, 0.5249, -0.01, 0.0097, 0.5218, 0.5207, 0.6940000000000001, 0.7043, -0.3965, -0.377, 1.0911, 0.35250000000000004, 0.3745, 0.4141, 0.52... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 13 | 11 | 3 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.625, "smallest_bitstrings": ["00010101000", "00011000010", "01000100001", "01000010010", "00100100100", "10000000110"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.26735938862423486) q[0];
rz(0.10893230624247693) q[0];
ry(0.1491965529302104) q[1];
ry(0.1605882734467805) q[2];
ry(0.5179101632285602) q[3];
ry(0.44091074970939437) q[4];
ry(0.20939928831505905) q[5];
ry(1.2941176658595661) q[6];
ry(0.9604711128290605) q[7];
ry(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIIZ",
"IIIIZIZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
... | 0.97497 | [
0.26735938862423486,
0.1491965529302104,
0.1605882734467805,
0.5179101632285602,
0.44091074970939437,
0.20939928831505905,
1.2941176658595661,
0.9604711128290605,
-0.3821283109988437,
1.7024078434950567,
0.054818503108896285,
0.21786461248495387,
-0.7416832374606571,
-0.39822474854642687,
... | {
"n_parameters": 126,
"n_qubits": 11,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 62 |
32de2f263b6f98f7178aaf7c61c38eb3 | 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": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [200, 201], "expectation_value": -4.9428114178237825, "params": [1.1, 0.4964, 1.1054000000000002, 0.0073, 1.1027, 0.3844, 1.1076000000000001, 0.0024000000000000002, -0.0006000000000000001, 0.6555000000000001, -0.0055000000000000005, 0.0058000000000000005, 0.0034000000000000002, 0.6504, 0.0032, 0.0099, 1.1022... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["00110110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.4643251259065133) q[0];
rz(0.6998561727497679) q[0];
rx(1.31363143740843) q[1];
rz(0.48997722491605167) q[1];
rx(-0.09684877613102127) q[2];
rz(1.0283784373403861) q[2];
rx(-0.006852278755258263) q[3];
rz(0.7543835852218645) q[3];
rx(1.6118504231086852) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"IIZIIIZI",
"IIIIZZII",
"IIZIIZII",
"IIZZIIII",
"IIIZIZII",
"ZIIIZIII",
"ZZIIIIII",
"ZIZIIIII",
"ZIIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-1.5,
-1.5,
-0.5,
-1.5
] | 0.973029 | [
1.4643251259065133,
0.8213749801366972,
1.3136314374084297,
0.4781594440096455,
-0.09684877613102127,
0.771390013525908,
-0.006852278755258262,
0.5376633983750582,
1.611850423108685,
0.4820166396233164,
-0.0005246953182194564,
0.5195967184069284,
0.1020041214395348,
-0.7982768305320975,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 11 |
98ff52dd3a46eb29e6baf499c47cc739 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [39, 38], "expectation_value": -1.7131361216845251, "params": [1.3942, 0.49970000000000003, 0.0024000000000000002, 0.879, 0.0023, 0.9689000000000001, 1.3942, 0.4, 1.3544, 0.631, 1.01, 0.6295000000000001, 1.3932, 0.0014, 0.0039000000000000003, 0.0047, 0.0024000000000000002, 0.005200000000000001, 1.3911, 0.007... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 18 | 6 | 2 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.125, "smallest_bitstrings": ["010110", "011010", "011001", "101001", "111000", "011100"], "largest_eigenvalue": 4.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZZII",
"IZIZII",
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"IZZIII",
"ZIZIII",
"ZZIIII",
"IZZIIZ",
"ZIZIIZ",
"ZZIIIZ",
"ZZZIII",
"ZZZIIZ",
"ZIIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.125,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125
] | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
5894766706626609507 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2], [1, 6], [2, 4], [1, 4], [3, 5], [2, 6], [0, 1], [3, 6], [2, 3], [5, 6]]} | {"states": [49, 50], "expectation_value": -3.530341685651679, "params": null, "bitstrings": ["1001110", "1001101"], "total_optimization_steps": 52, "probabilities": [0.05767997993795489, 0.8246259335473027], "optimization_time": 60.720486879348755} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110010", "1001101"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.855861048967445) q[0];
h q[1];
ry(0.7602681272289036) q[1];
h q[2];
h q[3];
ry(-0.6725119270481371) q[3];
h q[4];
ry(-0.12808173188290406) q[4];
cx q[2], q[4];
ry(0.12808173188290406) q[4];
cx q[2], q[4];
ry(-0.6375138676339951) q[4];
ry(1.4989658893670177... | 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[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... | [
"IIIIZIZ",
"IIIIIZZ",
"ZIIIZII",
"ZIIIIZI",
"IIZIZII",
"IIZIIZI",
"IIIZZII",
"ZIIZIII",
"ZZIIIII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"ZIIIIII",
"IIZIIII",
"IIIZIII",
"IZIIIII"
] | [
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
] | 0.973492 | [
-0.2561634637658081,
1.4989658893670177,
1.5205362544578072,
-1.71172209793489,
-1.2750277352679902,
-0.4620875869517217,
1.3790816867565614,
-1.3450238540962742,
0.13846756493603873,
-0.6134028002459425,
0.22772716434485296,
0.061678611666288005,
-0.48363266749345846,
0.5271731450375907,
... | {
"n_parameters": 43,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 13 |
0ae9b6f2b61290137ab22e2dafb0c164 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [10, 20], "expectation_value": -0.12399055350732434, "params": [[0.0673], [-0.0609]], "bitstrings": ["10101", "01011"], "total_optimization_steps": 10, "probabilities": [0.03358416987925647, 0.034098441443015465], "optimization_time": 2.4074513912200928} | 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(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11100", "01011", "10101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx q[0], q[... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IZZII",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1,
-1
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
a4887282391b847c36275b441eb6d545 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": ... | {"states": [0, 20], "expectation_value": -5.499864653365336, "params": null, "bitstrings": ["111111", "101011"], "total_optimization_steps": 19, "probabilities": [1.9001409475734576e-05, 0.9999182925217276], "optimization_time": 16.47126579284668} | 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(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) + -2.0 * Z(0) + -2.0 *... | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["111100", "101011"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5947826491304309) q[0];
ry(-3.1353499367076596) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5947826491304309) q[2];
h q[3];
ry(1.4438293180331603) q[3];
ry(-0.08654683917800882) q[4];
rz(-pi) q[4];
cx q[3], q[4];
ry(0.08255773053450952) q[4];
cx q[3], q[4];
ry(-0.08... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-2,
-1.5,
-1.5,
-1.5
] | 0.999195 | [
-1.5947826491304309,
-1.4016917570823781,
1.4438293180331603,
-0.16511546106901903,
0.2414485837592053,
0.10282247901678558
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
5dad688a93671469362a3d3d00961b05 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [12, 5], "expectation_value": -2.2240722867802383, "params": null, "bitstrings": ["10011", "11010"], "total_optimization_steps": 15, "probabilities": [0.0739903318953996, 0.9005293513110026], "optimization_time": 9.287680625915527} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(4) + -0.75 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.25, "smallest_bitstrings": ["11010", "01110", "10011"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(1.054375204004865) q[0];
ry(1.2513372356561656) q[1];
ry(0.2824769594172304) q[2];
ry(1.4848254273950985) q[3];
ry(1.7704547616171795) q[4];
ry(-0.13250446412763625) q[5];
ry(-0.49590506331342876) q[6];
ry(1.052494121858556) q[7];
ry(0.7429880399328006) q[8];
ry(0.4... | 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(-1.5486) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZIZ",
"ZIZII",
"IZZII",
"ZZIII",
"ZZZII",
"ZIIZI",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75
] | 0.975061 | [
1.054375204004865,
1.2513372356561656,
0.2824769594172304,
1.4848254273950985,
1.7704547616171795,
-0.13250446412763625,
-0.49590506331342876,
1.052494121858556,
0.7429880399328006,
0.41317392976743855,
2.5434800341621466,
1.571476038864509,
1.6619437044267633,
0.026188563071984666,
1.62... | {
"n_parameters": 45,
"n_qubits": 15,
"optimal_eigenvalue": -8.749999999999972,
"target_ratio": 0.97,
"target_value": -8.487499999999972
} | 53 |
15a5f37f6b324be94a7fa874923284e5 | kclique | adaptive_vqe | {"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": 0, "target": 6}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -22.347927280266347, "params": null, "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 93, "probabilities": [0.08328509149000893, 0.6008720326604672], "optimization_time": 217.53579950332642} | 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)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2... | 5 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08660647235805458) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.08660647235805458) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.08660647235805458) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.08660647235805458) q[3];
cx q[1], ... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[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... | [
"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,
2.75,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.25
] | 0.9711 | [
-0.08660647235805458,
-0.12731865885304094,
0.486571998827358,
0.7706787253710705,
-0.8608749269636787,
-0.3691202591452013,
0.9610136853971378,
-0.12372097609642718,
0.008478123483654525,
1.277526397553868,
0.6268134313552999,
-0.10538367740546278,
-0.7851989999830177,
0.6744201652912936,... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 86 |
1836f56c6aacade8d2873047a951421e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [0, 85], "expectation_value": -2.3188716056214416, "params": [0.1038, -0.0463, 0.09630000000000001, -0.0375, 0.2006, 0.0025, 0.1983, 0.0033, 0.1874, -0.0027, 0.17750000000000002, -0.0026000000000000003, 0.2003, 0.004200000000000001, 0.2092, 0.0016, 0.20270000000000002, 0.0027, 0.2018, 0.0036000000000000003, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + 0.0 * Z(7) + -1.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(4) | 6 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["11010010", "10110010", "10101010", "10101100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.20266467470833227) q[0];
rz(2.168432193317308) q[0];
rx(0.07081375388277941) q[1];
rz(1.7717666353110797) q[1];
rx(0.13646139574937427) q[2];
rz(1.3847292031501102) q[2];
rx(0.11845607904840359) q[3];
rz(1.5638165193041313) q[3];
rx(-0.36514156036254475) 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... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIIIZZII",
"IZZIIIII",
"IZIIIZII",
"IIIZZIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
0,
-1,
-0.5,
-1,
-0.5
] | 0.972406 | [
-0.20266467470833233,
0.5976358665224123,
0.07081375388277941,
0.2009703085161829,
0.13646139574937427,
-0.18606712364478684,
0.1184560790484036,
-0.0069798074907648205,
-0.3651415603625448,
-0.3989072995223136,
0.27120050297296056,
0.08141328367978312,
0.0618548223809936,
0.44064280983791... | {
"n_parameters": 110,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 91 |
670daa6e034726b8ea64bfcf7b90eb4c | 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}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3},... | {"states": [2047, 2015], "expectation_value": -2.552460115014279, "params": [[0.0746], [-0.0824]], "bitstrings": ["00000000000", "00000100000"], "total_optimization_steps": 10, "probabilities": [0.001085074781399156, 0.0011119451265218818], "optimization_time": 3.8013925552368164} | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + -2.5 * (Z(8) @ Z(7)) + 1.0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["00000100000"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.6489601368927522) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.6489601368927522) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.6489601368927522) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.6489601368927... | 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], q[0];
rz(x0) q[0];
c... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIIIIZIZI",
"IIIZZIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IZZIIIIIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIII... | [
-2.5,
-2.5,
-1.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
0.5,
-2,
-2,
-2,
-2.5,
1,
-2.5,
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
] | 0.532 | [
-0.6489601368927522,
-1.1362236458144548,
-0.11885634869919376,
-0.8266673840557922,
-0.3052664254047174,
-1.570796295666398,
-0.9605498052680749
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -25.5,
"target_ratio": 0.97,
"target_value": -24.735
} | 208 |
0df4df25c74ca38eb293288a64f6d090 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 2, "source": 2, "target": 3}, {"weight": 16, "source": 2, "target": 6}, {"... | {"states": [94, 93], "expectation_value": -7.34593155406864, "params": [[-0.0417], [0.0529]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.006215701785539632, 0.006660795885907683], "optimization_time": 1.9556231498718262} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) + -3.0 * Z(0) + 9.0 * Z(2) + 16.0 * Z(3) + 1... | 1 | 8 | 1 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 127.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.13472719791426957) q[0];
rz(0.7621816108220933) q[0];
rx(0.9797023371778154) q[1];
rz(-0.03741898136041918) q[1];
rx(0.2553948032372724) q[2];
rz(0.2997483345010804) q[2];
rx(0.98149266171691) q[3];
rz(0.021241621987064273) q[3];
rx(0.98018860069722) q[4];
rz(-0.03... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10,
-3,
9,
16,
11,
17.5,
4.5,
14
] | 0.976159 | [
0.13472719791426957,
0.8849967245068193,
0.9797023371778154,
-0.03741898136041918,
0.2553948032372724,
0.2997483345010804,
0.98149266171691,
0.021241621987064273,
0.98018860069722,
-0.037920716797769566,
0.9975135743893738,
-0.1428992541318086,
0.34355392559505205,
0.18303063785957543,
1... | {
"n_parameters": 70,
"n_qubits": 8,
"optimal_eigenvalue": -66,
"target_ratio": 0.97,
"target_value": -64.02
} | 8 |
0d4975981166b2874d2e3fb8df49ba97 | matching | adaptive_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": [238, 214], "expectation_value": -39.926217016728785, "params": null, "bitstrings": ["100010001", "100101001"], "total_optimization_steps": 100, "probabilities": [0.10204263315540714, 0.23230478566247953], "optimization_time": 176.09162735939026} | 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... | 1 | 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... | null | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.1215) 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] = m... | [
"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 |
5684350232888616901 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 4, 5, 7, 8], [1, 4, 6, 7]]} | {"states": [501, 508], "expectation_value": -0.2954147417844707, "params": [[1.5547], [-0.4132]], "bitstrings": ["000001010", "000000011"], "total_optimization_steps": 160, "probabilities": [0.00532245710815228, 0.00532245710815228], "optimization_time": 8.856149196624756} | 0.017857142857142856 * (Z(0) @ Z(1)) + 0.017857142857142856 * (Z(2) @ Z(1)) + 0.017857142857142856 * (Z(2) @ Z(0)) + 0.017857142857142856 * (Z(3) @ Z(1)) + 0.017857142857142856 * (Z(3) @ Z(0)) + 0.017857142857142856 * (Z(3) @ Z(2)) + 0.10119047619047619 * (Z(4) @ Z(1)) + 0.017857142857142856 * (Z(4) @ Z(0)) + 0.0178571... | 1 | 9 | 1 | {"smallest_eigenvalues": [-0.4285714285714286], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.4285714285714285, "smallest_bitstrings": ["000000011"], "largest_eigenvalue": 1.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.07729861772024364) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.07729861772024364) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.07729861772024364) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.07729861772024364) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZIZIIIII",
"... | [
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.10119047619047619,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017... | 0.807116 | [
0.07729861772024364,
0.47735348054721266,
0.17686776882548558,
0.3995306823932018,
1.1070313784257395,
1.461868101196332,
-0.7882255154496585
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -0.4285714285714286,
"target_ratio": 0.97,
"target_value": -0.41571428571428576
} | 185 |
5144181ac27497fdfa9bdb5b8b799630 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [431, 427], "expectation_value": -4.2539130878611955, "params": [1.9261000000000001, 0.006200000000000001, 2.8907000000000003, 0.003, 1.4708, 0.0027, 2.8911000000000002, 0.0081, 1.2875, 0.0039000000000000003, 2.8969, 0.0034000000000000002, 1.4814, 0.0037, 2.8989000000000003, 0.0014, 1.9138000000000002, 0.004... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(... | 18 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001010100", "100010001"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}], "edges": [{"source": 2, "target": 1}, {"source": 1, "target": 0}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIIIIZIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"ZZIIIIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
1.25,
1.25,
1.25,
1.25,
1,
1.25,
1.25,
1.25,
1.25
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
7924811032022698100 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[3, 4], [1, 3], [1, 2], [0, 1], [0, 2], [2, 3], [2, 4]]} | {"states": [18, 19], "expectation_value": -1.3841059733771666, "params": null, "bitstrings": ["01101", "01100"], "total_optimization_steps": 27, "probabilities": [0.10202929943789955, 0.6806318925989161], "optimization_time": 20.634002447128296} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -0.5, "smallest_bitstrings": ["10110", "01001", "10010", "10011", "01101", "11001", "01100", "00110"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(0.6543696814028234) q[0];
h q[1];
ry(-0.5126608706753003) q[1];
h q[2];
ry(-0.5762153931181222) q[2];
h q[3];
h q[4];
cx q[4], q[2];
ry(0.5762153931181222) q[2];
cx q[4], q[2];
ry(-0.19806687174596505) q[2];
cx q[3], q[2];
ry(0.19806687174596505) q[2];
cx q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"ZZIII",
"IZIZI",
"ZIZII",
"IZZII",
"IIZZI",
"IIIZZ",
"IIZIZ",
"ZIIII",
"IZIII",
"IIIZI",
"IIZII",
"IIIIZ"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.971886 | [
-1.1524307862362444,
1.0224361484828497,
-0.3961337434919301,
1.3087393628056467,
-1.0253217413506006,
0.808922851442036,
-0.6062161829433063,
0.4338473650623666,
-0.6259685747832153,
0.5738406518365079,
-0.2969414008236231,
0.33226859792154945,
-0.19630842910780344,
0.18638394291028929,
... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 6 |
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