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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7b9c246532208479e16ead07d0fd9661 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [60851, 60855], "expectation_value": -18.70207660449901, "params": [[[0.5107, -0.0024000000000000002], [1.1484, 0.0024000000000000002], [1.5689000000000002, -0.0026000000000000003], [-0.29700000000000004, 0.0026000000000000003], [1.1718, -0.0021000000000000003], [1.5721, 0.0016], [-0.034, -0.0016], [1.573200... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(... | 15 | 16 | 2 | {"smallest_eigenvalues": [-20.00000000000009], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999876, "smallest_bitstrings": ["0001001001001000"], "largest_eigenvalue": 68.00000000000017} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0361059844083795) q[0];
rz(0.2538864396112084) q[0];
rx(0.6189462132348078) q[1];
rz(-0.21762453154559475) q[1];
rx(0.6524000169646366) q[2];
rz(0.24446300716621922) q[2];
rx(-0.12421013628383518) q[3];
rz(0.2697688833504035) q[3];
rx(0.7337250473435663) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 3}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIIIIZI",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
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,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 0.971641 | [
1.0361059844083795,
0.04207048271458553,
0.6189462132348078,
-0.21762453154559475,
0.6524000169646366,
0.24446300716621922,
-0.12421013628383518,
0.2697688833504035,
0.7337250473435663,
0.10891100270157394,
0.9285896273892676,
0.30968646813099326,
0.08969789985041493,
0.30290502113283285,
... | {
"n_parameters": 183,
"n_qubits": 16,
"optimal_eigenvalue": -20.00000000000009,
"target_ratio": 0.97,
"target_value": -19.400000000000084
} | 24 |
305451fe42c8e99c594080bbfd8c69fa | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, ... | {"states": [19, 35], "expectation_value": -3.9963269418995533, "params": null, "bitstrings": ["1101100", "1011100"], "total_optimization_steps": 26, "probabilities": [0.06635596786096055, 0.9302847332671536], "optimization_time": 25.31528377532959} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(2) + -1.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1011100", "0011011", "0101011", "1110100", "1101100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.027814750980903902) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(-0.49100116922338494) q[2];
cx q[1], q[2];
ry(0.49100116922338494) q[2];
cx q[1], q[2];
ry(1.0170525385572764) q[1];
ry(-0.507254278499343) q[2];
h q[3];
ry(-1.6292136689337038) q[3];
ry(-0.027814750980903... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-1
] | 0.997185 | [
-1.6292136689337038,
-1.4831408804065311,
1.3973912449279369,
-0.9820023384467699,
0.7457996991728432,
-0.1196813908149234,
-0.3143214037602649,
0.5425056787688665,
-0.38586574947815633,
0.23658047179334926,
-0.3556877717941279,
0.20936317245557942,
0.15268893975321973,
-0.2140717037190976... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
b8aaab24da0004c3e40ded7e0da30763 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [5, 1], "expectation_value": -2.3808884404038655, "params": [[-0.0684, -0.052500000000000005, -0.0519, -0.063], [0.0821, 0.0703, 0.0663, 0.07060000000000001]], "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.02445286791479969, 0.03149119144226883], "optimization_time... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.04755975372679777) q[0];
rz(-pi) q[1];
ry(-0.16357168903548214) q[1];
rz(-pi) q[2];
ry(-0.16357168903548214) q[2];
h q[3];
ry(-1.6848675864644589) q[3];
ry(-0.05392656744408793) q[4];
rz(-pi) q[4];
ry(-0.08761228669430021) q[5];
rz(-pi) q[5];
h q[6];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIIZ",
"IZIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
2.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
2
] | 0.995678 | [
1.5124481082497874,
-1.6848675864644589,
-1.7984235144880873,
-1.5128877401597436,
-1.43889529306715,
-0.15594893256731784,
0.05940740011829414,
0.13302301188552904,
0.12811099731541742
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
bf001351f2bf5e55c043b36bf1cfc0ff | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 18, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 2}, {... | {"states": [243, 115], "expectation_value": -39.1756635352704, "params": [[-0.0356], [0.3744]], "bitstrings": ["00001100", "10001100"], "total_optimization_steps": 40, "probabilities": [0.030051762476541975, 0.031076676106174466], "optimization_time": 2.267064094543457} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10001100"], "largest_eigenvalue": 144.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.014501327735563205) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.014501327735563205) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.014501327735563205) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.014501327735563205) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
8.5,
21,
17.5,
-3.5,
7,
14.5,
10
] | 0.979318 | [
-0.014501327735563205,
1.0347150784178718,
-0.5692598202979595,
0.8538840510919471,
0.449639128842699,
-0.5166005433180799,
-0.5904170101921311,
0.7104836149796329,
1.0334025197694245,
-0.9166130684491123,
0.10267877018475241,
0.640899445953751,
-0.04544482157122929,
1.0068858003288548,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -64.5,
"target_ratio": 0.97,
"target_value": -62.565
} | 48 |
d641b238a610d42d2a4d2049e26c4a8c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, ... | {"states": [1, 97], "expectation_value": -16.47824140047548, "params": [0.0033, 1.685, 0.4359, 1.2137, 0.9474, 0.5586, 0.0025, 1.3469, 0.0027, 1.7642, 0.0028, 1.5408000000000002, 0.0026000000000000003, 1.4763000000000002, 1.5702, 0.0027, 0.0026000000000000003, 0.1608, 0.0751, -0.6559, 0.7546, -0.4152, 0.0025, -0.717000... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -2.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @... | 4 | 8 | 2 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["10011110"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7946463062368568) q[0];
h q[1];
h q[2];
ry(0.6186852872545041) q[2];
cx q[1], q[2];
ry(-0.6186852872545041) q[2];
cx q[1], q[2];
ry(1.5435180341782773) q[1];
ry(0.18224120531489832) q[2];
ry(-0.17608387131973435) q[3];
rz(-pi) q[3];
cx q[1], q[3];
ry(0.247... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIIZZI",
"IZIIIZII",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIZZIII",
"IZIIZIII",
"IIIIZZII",
"IIZIIIZI",
"IIZZIIII",
"IZZIIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII"
] | [
-0.5,
-1.25,
-0.5,
-2.5,
-0.75,
-1.25,
2.5,
-1,
-1.25,
-1,
-0.25,
-0.75,
-0.75,
-1.25,
0.5,
-0.25,
0.5,
-0.75,
1.75,
1.25,
-4.5,
1.5
] | 0.970629 | [
-1.147417811859112,
1.2373705745090082,
1.5435180341782773,
-0.49458928723210044,
-1.5892926124737137,
-2.309415929446479,
0.36448241062979664,
-0.4538661237832402,
-0.06284718478532479,
0.1828448554015769,
-0.33230521476711383,
0.37352140419820384,
-0.07913749338643893,
0.3498126979268162... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 77 |
43307769d8a05a2ca68cecbc0fed0778 | 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": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [25, 31], "expectation_value": -0.19960205106325354, "params": [[0.0499, -0.0108, 0.0522, -0.022500000000000003], [-0.06770000000000001, -0.0016, -0.04, -0.0178]], "bitstrings": ["100110", "100000"], "total_optimization_steps": 10, "probabilities": [0.018284729887052962, 0.018765141280626535], "optimization_... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(4) + -0.25 * Z(5) + 1.0 * Z(2) + 0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100000", "100110", "100010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.00023124809840155782) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.00023124809840155782) q[4];
cx q[0], q[4];
h q[5];
cx q[1], q[5];
rz(0.00030875566784865986) q[5];
cx q[1], q[5];
cx q[0], q[5];
cx q[1], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"IIIZZI",
"IZIZII",
"ZIIZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
-0.25,
-0.25,
-0.5,
0.75,
-0.25,
-0.5,
-0.25,
-0.75,
-0.25,
0,
-0.25,
-1,
-0.25,
1,
0.5
] | 0.846154 | [
-0.00023124809840155782,
0.00030875566784865986,
2.3115568584055075,
-3.216564759806828,
0.829794500941834,
-0.06741882085370919,
0.8321285704967755,
-0.06948214412449785,
0.5773648280487796,
0.00021406035029157414,
-0.0003257371873867132,
1.986953820724666,
-1.4634239239165174,
-1.0938387... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 500 |
61f8633b48687234480fdb0cb93a70e4 | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"source": 3, "target": 8}, {"sour... | {"states": [0, 255], "expectation_value": -24.620135213606826, "params": [[[0.0022, 1.611], [0.0022, 0.0029000000000000002], [0.0021000000000000003, 0.0018000000000000002], [0.002, 0.0019], [0.0018000000000000002, 0.0021000000000000003], [0.0022, 0.0022], [0.0019, 0.002], [0.0025, 0.0023]]], "bitstrings": ["11111111", ... | -1.5 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(5)) + -3.0 * (Z(6) @ Z(5)) + -3.0 * (Z(6) @ Z(2)) + -3.0 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(2)) + 1.5 * (Z(7) @ Z(6)) + -3.0 * (Z(3) @ Z(5)) + 1.5 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(6)) + -2.5 * (Z(3) @ Z(7)) + -3.0 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(6)) + 0... | 15 | 8 | 1 | {"smallest_eigenvalues": [-27.5, -27.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -26.5, "smallest_bitstrings": ["00000000", "11000000"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.047762790710436716) q[0];
ry(-0.047762790710436716) q[1];
ry(0.026782341123001176) q[2];
ry(0.03486656411533356) q[3];
ry(0.08696198000019914) q[4];
ry(-0.047762790710436716) q[5];
ry(-0.04418913829241809) q[6];
ry(0.005846533392708159) q[7];
cx q[7], q[0];
cx q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x0) q[1];
ry(x1) q[2];
ry(x2) q[3];
ry(x3) q[4];
ry(x0) q[5];
ry... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIZII",
"IZZIIIII",
"IZIIIZII",
"ZIZIIIII",
"ZIIIIZII",
"ZZIIIIII",
"IIZIZIII",
"IIIIZZII",
"IZIIZIII",
"ZIIIZIII",
"IIZZIIII",
"IIIZIZII",
"IZIZIIII",
"ZIIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZII... | [
-1.5,
-3,
-3,
-3,
-3,
-2.5,
1.5,
-3,
1.5,
-3,
-2.5,
-3,
1,
-2.5,
0.5,
1,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.979459 | [
-0.047762790710436716,
0.026782341123001176,
0.03486656411533356,
0.08696198000019914,
-0.04418913829241809,
0.005846533392708159,
2.625673584641376,
0.09959576502808283,
0.01570976139608097
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -27.5,
"target_ratio": 0.97,
"target_value": -26.675
} | 14 |
db350f4c6cc12fe7a27604bdeac9089b | 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": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, ... | {"states": [1, 3], "expectation_value": -10.191566208765225, "params": null, "bitstrings": ["11111110", "11111100"], "total_optimization_steps": 26, "probabilities": [0.4124944454805767, 0.42588535922311377], "optimization_time": 27.056321620941162} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -1.75 * Z(1)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.4275268824029438) q[0];
h q[1];
ry(-1.5652080334247682) q[1];
ry(-0.03368310796321593) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.5652080334247682) q[3];
h q[4];
ry(-1.6531305993622973) q[4];
h q[5];
ry(-1.5652080334247682) q[5];
h q[6];
h q[7];
cx q[7], q[0];
ry(0... | 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[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",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIIZI",
"IIZIZIII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-0.25,
-1,
-0.25,
-0.75,
-0.75,
-1.75,
-0.5,
-0.75,
-0.25,
-0.25,
1.5,
-0.25,
-0.75,
-1.75,
-0.25,
0.25,
0.25,
-0.5,
0,
1.25,
0.75
] | 0.972524 | [
-1.5652080334247682,
-0.8550537648058876,
1.3145543956205288,
-0.8916018977800446,
-1.5187606997036145,
-1.6531305993622973,
0.19570433574163723,
-0.335754560642802,
-0.0367050382561322,
-0.08837873644366767
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 10 |
833c89e8aca800e5707fb47ea63f9088 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [28, 46], "expectation_value": -0.16942363516514644, "params": [[0.0597, 0.0692], [-0.0478, -0.0543]], "bitstrings": ["100011", "010001"], "total_optimization_steps": 10, "probabilities": [0.01866875829361824, 0.018814780210785895], "optimization_time": 2.0701684951782227} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["010001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.06213685427517941) q[0];
rz(0.3900229257122323) q[0];
rx(-0.05273946885872852) q[1];
rz(0.8212831248228313) q[1];
rx(1.5337574379224534) q[2];
rz(0.18090279389762448) q[2];
rx(-0.062136854275179405) q[3];
rz(-0.7491475642969406) q[3];
rx(-0.062136854275179405) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(x0) q[4];
c... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIZI",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
0,
-1,
0,
0
] | 0.980175 | [
-0.062136854275179405,
0.5639668344247326,
-0.05273946885872852,
0.8212831248228313,
1.5337574379224534,
0.18090279389762448,
-0.7491475642969406,
0.5294660297481446,
-0.3478878174250011,
0.3529348580960014,
-0.022087508376134993,
-0.4435758830602262,
-0.5770407396054762,
-0.16077012495042... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 6 |
28867858393139810 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3, 4, 5], [0, 1, 2, 6], [2, 3, 4, 5, 6], [1, 4, 5], [0, 2, 3, 4, 6], [0, 2, 5, 6], [0, 1, 3, 6]]} | {"states": [120, 122], "expectation_value": -1.159138703158607, "params": [[[2.9334000000000002, 0.0006000000000000001], [2.9449, 0.0078000000000000005], [2.9482, 0.0026000000000000003], [2.9044000000000003, 0.0059], [1.2848000000000002, 0.0037], [1.6006, 0.0046], [1.2156, 0.008]]], "bitstrings": ["0000111", "0000101"]... | 0.26666666666666666 * (Z(0) @ Z(2)) + 0.15000000000000002 * (Z(3) @ Z(2)) + 0.18333333333333335 * (Z(3) @ Z(0)) + 0.15000000000000002 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.15000000000000002 * (Z(4) @ Z(3)) + 0.18333333333333335 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.1 * (Z(5) @ Z(3)) + 0.26666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.6833333333333333, -1.6833333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6, "smallest_bitstrings": ["0000101", "1000100"], "largest_eigenvalue": 7.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(3.0160767268068214) q[0];
rz(0.11532702066726058) q[0];
rx(2.989183811506595) q[1];
rz(-0.7259598641117783) q[1];
rx(2.982192830937119) q[2];
rz(-0.42987159590638235) q[2];
rx(3.009389391669158) q[3];
rz(0.20741221953664019) q[3];
rx(0.31399664122819576) q[4];
rz(0.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"IIIIZZI",
"IIIIIZZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZ... | [
0.26666666666666666,
0.15000000000000002,
0.18333333333333335,
0.15000000000000002,
0.1,
0.15000000000000002,
0.18333333333333335,
0.13333333333333333,
0.1,
0.26666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.2... | 0.971466 | [
3.0160767268068214,
0.11532702066726058,
2.989183811506595,
-0.7259598641117783,
2.982192830937119,
-0.42987159590638235,
3.009389391669158,
0.20741221953664019,
0.31399664122819576,
0.6452118041644099,
2.7331271109934145,
-1.0884903685089706,
0.011017034988569888,
-0.5515022008305489
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -1.6833333333333333,
"target_ratio": 0.97,
"target_value": -1.6328333333333334
} | 18 |
-6014851166007240121 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4, 5, 6], [1, 2, 4, 5], [0, 1, 3, 4, 5], [0, 2], [0, 1, 3, 5, 6], [2, 3, 5, 6]]} | {"states": [71, 58], "expectation_value": -0.4755454386338589, "params": [[0.2676], [-0.2514]], "bitstrings": ["0111000", "1000101"], "total_optimization_steps": 30, "probabilities": [0.013223006662697401, 0.013344047872126119], "optimization_time": 3.0144119262695312} | 0.15000000000000002 * (Z(1) @ Z(3)) + 0.1 * (Z(4) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(1)) + 0.23333333333333334 * (Z(5) @ Z(3)) + 0.23333333333333334 * (Z(5) @ Z(1)) + 0.18333333333333335 * (Z(5) @ Z(4)) + 0.18333333333333335 * (Z(6) @ Z(3)) + 0.1 * (Z(6) @ Z(1)) + 0.05 * (Z(6) @ Z(4)) + 0.18333333333333335 * (Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5999999999999999, -1.5999999999999999], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5166666666666668, "smallest_bitstrings": ["1000010", "1000101"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.005726863175550169) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(-0.03073967305521124) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-0.032214571403569654) q[4];
cx q[1], q[4];
h q[5];
cx q[3], q[5];
rz(-0.1187054330207938... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIZIZI",
"IIZZIII",
"IIZIIZI",
"IZIZIII",
"IZIIIZI",
"IZZIIII",
"ZIIZIII",
"ZIIIIZI",
"ZIZIIII",
"ZZIIIII",
"IIIZZII",
"IIIIZZI",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIIZIIZ",
"IIIIIZZ",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIIZIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZI... | [
0.15000000000000002,
0.1,
0.18333333333333335,
0.23333333333333334,
0.23333333333333334,
0.18333333333333335,
0.18333333333333335,
0.1,
0.05,
0.18333333333333335,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.1,
0.1,
0.05... | 0.973705 | [
-0.005726863175550169,
-0.03073967305521124,
-0.032214571403569654,
-0.11870543302079387,
-0.022737138823566663,
0.010016565241019883,
0.10713937344410471,
0.6996452720519721,
1.6470874081644307,
1.7978729425350841,
-1.725220585949155,
1.503680615324938,
-1.5714188580734978,
-1.56253796742... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -1.5999999999999999,
"target_ratio": 0.97,
"target_value": -1.5519999999999998
} | 110 |
4dc7eb2b16579aab0e582a9105750b79 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"source": 6, "ta... | {"states": [103, 127], "expectation_value": -0.3544601442300618, "params": [[0.0658], [-0.0594]], "bitstrings": ["0011000", "0000000"], "total_optimization_steps": 10, "probabilities": [0.009912862262879652, 0.009912862262879652], "optimization_time": 1.0249309539794922} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 5 | 7 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["0000000", "0011000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.5517413785853308) q[0];
rz(2.803689702160259) q[0];
rx(0.5738410538043462) q[1];
rz(2.7933162495081607) q[1];
rx(0.0030785040495915125) q[2];
rz(1.931246459140004) q[2];
rx(-1.0109148204410165) q[3];
rz(2.5120193824806982) q[3];
rx(-0.9744558214063344) q[4];
rz(1.8... | 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[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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[3], q[2];
cx q[5], q[4];
rz(... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-1,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5
] | 0.970116 | [
0.5517413785853307,
1.2328933753653626,
0.5738410538043464,
1.2225199227132642,
0.0030785040495915133,
0.36045013234510787,
-1.0109148204410165,
0.9412230556858013,
-0.9744558214063344,
0.31932405041847894,
-0.8073804844757921,
-0.458178133271434,
-0.4328206050605488,
-0.041349717089578686... | {
"n_parameters": 140,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 494 |
1b146c0365a13411191347bfcee6d38e | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 6}, ... | {"states": [8, 40], "expectation_value": -2.2355968335945455, "params": [[0.0024000000000000002, 0.8055, 0.0023, 0.8056000000000001, 0.5594, 0.0024000000000000002, 0.005], [0.0024000000000000002, 0.8061, 0.0024000000000000002, 0.8016000000000001, 0.7858, 0.0025, 0.0005]], "bitstrings": ["1110111", "1010111"], "total_op... | 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(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(3) @ Z(1)) + -0.125 * (Z(0) @ Z(3) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(1... | 10 | 7 | 1 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["1110011", "1010111"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.01896298951164331) q[0];
ry(1.4671335465655022) q[1];
ry(0.0443902706272271) q[2];
ry(1.651545018621358) q[3];
ry(0.17939320521132673) q[4];
ry(0.01896298951164331) q[5];
ry(0.12476640194723929) q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIIIZZZ",
"IIIZIZZ",
"IIIZZIZ",
"IIIZZZI",
"IIIZZZZ",
"IIZIIZI",
"IIZZIII",
"IZIZIII",
"ZIIZIII",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"IZZZIII",
"ZIZZIII",
"ZZIZIII",
"ZZZIIII",
"ZZZZIII",
"IIIIIIZ",
"III... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.625,
-0.125,
-0.625,
0.25,
-0.125,
-0.625,
-0.625
] | 0.970543 | [
0.01896298951164331,
1.4671335465655022,
0.0443902706272271,
1.651545018621358,
0.17939320521132673,
0.12476640194723929,
1.6764095617710113,
1.1673098756081428,
0.4517425252645204,
-0.1261575337349709,
-0.24637722337136964
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 12 |
238da0afcff22b3cc95b712a7ad70447 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [9, 28], "expectation_value": -1.7911190192119868, "params": [[0.076, 0.0704, 0.0757, 0.0738], [-0.0855, -0.0736, -0.0781, -0.077]], "bitstrings": ["110110", "100011"], "total_optimization_steps": 10, "probabilities": [0.03664123645702376, 0.04163297823172023], "optimization_time": 5.231009244918823} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z(1) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15400852379458427) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.15400852379458427) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.15400852379458427) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.15400852379458427) q[0];
cx q[3], q[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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"ZIZIII",
"ZZIIII",
"IZIIZI",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1.5,
-1.5,
-0.5
] | 0.699923 | [
0.15400852379458427,
-0.16652351332765766,
0.9539397028763626,
1.06600767204121,
-0.6690269654905423,
0.34760366534217846,
-0.3361262054812998,
1.1832235155449329,
-0.26439160478237117,
-0.374497929541955
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 323 |
-5458348473563071078 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 6], [1, 6, 7], [3, 7], [8, 9, 1], [2, 4], [8, 2, 5], [2, 5, 7], [2, 3], [1, 2], [9, 5, 6], [9, 4], [0, 3, 6]]} | {"states": [799, 378], "expectation_value": -2.39403955475362, "params": [1.2887, 0.047900000000000005, 1.286, 0.0046, 1.198, 0.059000000000000004, 0.8646, 0.0001, 1.1129, -0.0426, 1.1272, 0.0097, 0.6879000000000001, -0.1416, 0.45880000000000004, 0.007500000000000001, 0.7383000000000001, -0.23440000000000003, 0.5169, 0... | 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16... | 6 | 10 | 1 | {"smallest_eigenvalues": [-4.666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.333333333333333, "smallest_bitstrings": ["1010000101"], "largest_eigenvalue": 9.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.4808242080578788) q[0];
rz(1.7916011787116375) q[0];
rx(1.824724328883208) q[1];
rz(1.5784529188543504) q[1];
rx(1.4931624055825043) q[2];
rz(1.5723400267753362) q[2];
rx(0.025510192389455576) q[3];
rz(0.7914279378102118) q[3];
rx(-0.40870727393493067) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZII",
"IIIZIIIIZI",
"IIIIIIIZZI",
"IIZZIIIIII",
"IIZIIIIZII",
"IIZIIIIIZI",
"IIIZIIZIII",
"IIIIIIZZII",
"IIZIIIZIII",
"IZIIIIIZII",
"IZIIIIIIZI",
"ZIIZIIIIII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIIIZIZII",
"ZIIIIZIIII",
"IIIZZIIIII",
"IIIIZIIZII",
"IIZIZIIIII",
"IZIIZIIIII"... | [
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
... | 0.971677 | [
1.4808242080578788,
0.22080485191674143,
1.8247243288832078,
0.00765659205945371,
1.4931624055825043,
0.0015436999804402038,
0.02551019238945558,
-0.7793683889846847,
-0.40870727393493067,
-0.22106180520797566,
2.9353466799356895,
-0.0052805956012155035,
2.874270955220925,
0.05109081065934... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -4.666666666666665,
"target_ratio": 0.97,
"target_value": -4.5266666666666655
} | 311 |
e95c8bc22a5c03425fc32d877756198b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [44, 98], "expectation_value": -0.1573957014330605, "params": [[-0.057300000000000004], [0.0721]], "bitstrings": ["1010011", "0011101"], "total_optimization_steps": 10, "probabilities": [0.008671936556881192, 0.008804309298396738], "optimization_time": 1.3666269779205322} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100110", "1101100", "1010011", "0011101", "1100011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.579450656118302) q[0];
h q[1];
ry(-0.44857055279780694) q[1];
h q[2];
cx q[2], q[1];
ry(0.44857055279780694) q[1];
cx q[2], q[1];
ry(-0.6176282854684922) q[1];
ry(0.9354167381087468) q[2];
h q[3];
ry(1.354925211870143) q[3];
cx q[3], q[2];
ry(-0.2031831782... | 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"ZIIIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1,
-1,
-0.5,
-0.5
] | 0.995957 | [
-1.579450656118302,
-1.4796410360738341,
1.354925211870143,
1.5350111707384577,
-0.8971411055956139,
0.7322335598561136,
-0.11609142966867134,
-0.49347830243712204,
0.40636635650526653,
-0.24829996606274043,
0.2523136444711719,
-0.1666060973439571,
-0.08691841742404358,
0.04526886395189124... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
96aa688a41503b0eea4bda42198f6281 | 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": 15, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 5}, {"weight": 3, "source": 2, "targ... | {"states": [221, 220], "expectation_value": -20.575268838243833, "params": [[-0.0322, 0.0047], [0.0636, 0.06810000000000001]], "bitstrings": ["100100010", "100100011"], "total_optimization_steps": 10, "probabilities": [0.005230519521563606, 0.006677090303205007], "optimization_time": 3.654735565185547} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-83.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 166.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1309828985838556) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.1309828985838556) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1309828985838556) q[2];
cx q[0], q[2];
rz(-0.1539228319124235) q[0];
rx(-0.11835153931238239) 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": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
12,
2,
15.5,
10.5,
16,
22,
14.5,
8,
-1.5
] | 0.971118 | [
0.1309828985838556,
0.594262456020538,
-0.1539228319124228,
0.12446024266432326,
-0.6149272815905993,
-0.08643543530531737,
0.3525135566268864,
0.9509792797491994,
-0.18849338277309924,
-0.7155564044841078,
-0.11835153931238239,
-0.10838480904433179,
0.9411007451254257,
-1.130705164161819,... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -83.5,
"target_ratio": 0.97,
"target_value": -80.995
} | 54 |
-7915630038796108903 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [1, 2, 3, 4], [0, 3]]} | {"states": [3, 7], "expectation_value": -1.0449236165886708, "params": null, "bitstrings": ["11100", "11000"], "total_optimization_steps": 28, "probabilities": [0.2543727016422982, 0.30456913535381946], "optimization_time": 18.907138347625732} | 0.5 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.1250000000000001 * Z(4) + 0.0 * Z(0) + 0.125 *... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.25, -1.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.1666666666666665, "smallest_bitstrings": ["11000", "10100"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(0.021160090620134797) q[0];
h q[1];
ry(-0.3151973912819796) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
ry(-0.021160090620134797) q[0];
cx q[4], q[0];
ry(-0.1592182932159873) q[0];
cx q[3], q[0];
ry(0.1592182932159873) q[0];
cx q[3], q[0];
ry(-1.434649557494... | 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[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;\nq... | [
"ZIIIZ",
"ZIIZI",
"ZIZII",
"IIZZI",
"ZZIII",
"IZIIZ",
"IZIZI",
"IZZII",
"ZIIII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII"
] | [
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.1250000000000001,
0,
0.125,
0.125,
0.1250000000000001
] | 0.972555 | [
0.042320181240269594,
1.4792841301533728,
-0.3184365864319746,
1.4945210864163145,
-1.3605909330627344,
-0.04904425860389401,
0.2586851652719841,
-0.14811724886330074,
-0.6303947825639592,
0.057766824175712495,
-0.13806435864733158,
0.11220849902201552,
-0.4464854218830338,
-0.173125075895... | {
"n_parameters": 25,
"n_qubits": 5,
"optimal_eigenvalue": -1.25,
"target_ratio": 0.97,
"target_value": -1.2125
} | 26 |
5dad688a93671469362a3d3d00961b05 | 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": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [1, 5], "expectation_value": -1.258231178345175, "params": [[[0.334, 0.2293], [0.29150000000000004, -0.2574], [0.7974, 0.0037], [0.007, 0.0029000000000000002], [0.8068000000000001, 0.0038]], [[0.3342, 0.0029000000000000002], [0.2906, 0.0059], [0.7967000000000001, 0.0083], [-0.0022, 0.0068000000000000005], [0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(4) + -0.75 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.25, "smallest_bitstrings": ["11010", "10011", "01110"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(1.054375204004865) q[0];
ry(1.2513372356561656) q[1];
ry(0.2824769594172304) q[2];
ry(1.4848254273950985) q[3];
ry(1.7704547616171795) q[4];
ry(-0.13250446412763625) q[5];
ry(-0.49590506331342876) q[6];
ry(1.052494121858556) q[7];
ry(0.7429880399328006) q[8];
ry(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"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 |
193bd74fa5c39737b189c4cd7c74ab9f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [809, 813], "expectation_value": -1.4909569269581775, "params": [0.5975, 0.5910000000000001, 0.6025, 0.6037, 0.1889, 0.189, 0.07050000000000001, 0.0755, 0.5931000000000001, 0.6012000000000001, 0.069, 0.0684, 0.6037, 0.5978, 0.4672, 0.4515, 0.19720000000000001, 0.19870000000000002, 0.5322, 0.5327000000000001,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1) @ Z(6)) ... | 14 | 10 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 21, "first_excited_energy": -2.0, "smallest_bitstrings": ["0011010010", "0011001010", "0010111000", "0010110100", "0010110010", "0101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.5417013838583502) q[0];
rz(pi/2) q[0];
ry(0.6782699899229163) q[1];
ry(0.1720005691671715) q[2];
ry(0.19601496501627524) q[3];
ry(0.6262436831314333) q[4];
ry(0.08205121376540625) q[5];
ry(1.5614702127359963) q[6];
ry(0.9167370092870792) q[7];
ry(-0.23296237493405... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIIZZIIZ",
"IIIIZIZIII",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIIZZIIIZI",
"IIZZIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IZZZIIIIII",
"IIZIIIIZII",
"ZIIIIIIZII",
"ZIZIIIIIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0,
0,
0,
-0.25,
0,
-0.25,
0,
0,
0,
0
] | 0.972748 | [
0.5417013838583502,
0.6782699899229163,
0.1720005691671715,
0.19601496501627524,
0.6262436831314333,
0.08205121376540625,
1.5614702127359963,
0.9167370092870792,
-0.2329623749340569,
0.9201124023937775,
0.9360813317955685,
-0.1296646473496111,
-0.32778770506260324,
-0.025254944202995448,
... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 38 |
adf83a7a772b7f772a66d54f36fd7522 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.6247895622686361, "params": [[0.06910000000000001, 0.0717], [-0.0753, -0.0656]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0070381691758332554, 0.0074353460552944875], "optimization_time": 3.96793270111084} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.4434130568765927) q[0];
h q[1];
ry(0.06002088832999257) q[1];
h q[2];
ry(0.20888663163693805) q[2];
h q[3];
cx q[3], q[1];
ry(-0.06002088832999257) q[1];
cx q[3], q[1];
ry(1.4692332172117415) q[1];
ry(1.40335167153491) q[3];
h q[4];
ry(0.514467726155474) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIIIZI",
"IIZIZIII",
"IZZIIIII",
"IIZIIZII",
"IIIZZIII",
"IZIZIIII",
"ZIIZIIII",
"IIIZIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIII... | [
-0.25,
-1,
-0.25,
-1,
-0.25,
-0.5,
-0.5,
1,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
0,
1,
-0.25,
-0.5,
0.25,
0
] | 0.970149 | [
1.486113011210929,
0.12004177665998514,
1.40335167153491,
1.4692332172117415,
1.028935452310948,
1.535224711760082,
-0.8868261137531854,
0.4177732632738761,
1.2979805877816588,
0.3664680005410001,
-0.4998226785072861,
0.15189024077444385,
0.4825016790234395,
0.27013092329179234,
0.016721... | {
"n_parameters": 54,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 51 |
dc8ac5f82febba9dcace181eb5c76eb3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [22, 21], "expectation_value": -0.12666166440507431, "params": [[-0.0478, -0.0105], [0.0671, 0.0194]], "bitstrings": ["101001", "101010"], "total_optimization_steps": 10, "probabilities": [0.01700148345481107, 0.017259686240850856], "optimization_time": 4.180830717086792} | 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(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "101010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"ZIIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-0.5,
-0.5,
0
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
1a8155b224db54664a68f055f033253f | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 1, "target": 3}]} | {"states": [55230, 47070], "expectation_value": -7.567860877314589, "params": [[0.0589, 0.059000000000000004, 0.012100000000000001], [-0.0785, -0.0892, -0.0577]], "bitstrings": ["0010100001000001", "0100100000100001"], "total_optimization_steps": 10, "probabilities": [8.14229863686576e-05, 8.142298651467119e-05], "opti... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7)... | 1 | 16 | 3 | {"smallest_eigenvalues": [-18.49999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.49999999999981, "smallest_bitstrings": ["0100100000100001"], "largest_eigenvalue": 63.50000000000005} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(-1.7976347027261054e-08) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-1.7976347027261054e-08) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-1.7976347027261054e-08) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(-1.7976347027261054e-08) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 3}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIZZIIIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
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,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.... | 0.891892 | [
-1.7976347027261054e-8,
-1.2399449651503569e-8,
-1.5707962915080487,
-1.5707964004599495,
1.5707963785331627,
-1.5707963408864278,
-1.5707964034514517,
1.5707963010445554
] | {
"n_parameters": 8,
"n_qubits": 16,
"optimal_eigenvalue": -18.49999999999997,
"target_ratio": 0.97,
"target_value": -17.944999999999972
} | 280 |
8690fd0aab2ac7c5b0518bfd469c5549 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [60, 28], "expectation_value": -10.094951346655533, "params": [0.0043, 0.0018000000000000002, 0.0041, 0.0039000000000000003, 0.1904, 0.1965, 0.2373, 0.19840000000000002, 0.7956000000000001, 0.5248, 0.8123, 0.8097000000000001, 0.8067000000000001, 0.8099000000000001, 0.804, 0.8002, 0.0008, 0.0023, -0.003, -0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(1) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -10.5, "smallest_bitstrings": ["1111000111", "1111100011", "1110101011", "1101010111"], "largest_eigenvalue": 35.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.024253218190816973) q[0];
rz(pi/2) q[0];
ry(0.453892460731278) q[1];
ry(0.6592846388118881) q[2];
ry(0.11599131349978745) q[3];
ry(0.5186204446513898) q[4];
ry(1.0256540787503539) q[5];
ry(1.2375205389653265) q[6];
ry(1.6670688351713228) q[7];
ry(0.08859901292681... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIZIIZII",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IZIIIIIIIZ",
"IZIIIIZIII",
"IZIIZIIIII",
"IZIZIIIIII",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZZI",
"IIIIZIIIZI",
"IIIZIIIIZI",
"ZIIIIIIIZI",
"IIIIIZZIII",
"IZIIIZIIII"... | [
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,
-1.5,
-2.5,
-2,
-1.5,
-2,
-3,
-3,
-2.5,
-2,
-2
] | 0.976423 | [
-0.024253218190816973,
0.453892460731278,
0.6592846388118881,
0.11599131349978745,
0.5186204446513898,
1.0256540787503539,
1.2375205389653265,
1.6670688351713228,
0.08859901292681165,
-0.4344194025451884,
-0.3124689977640678,
-0.49694675134129096,
-0.07302899176520841,
1.0857871358409084,
... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 28 |
3a96def0087bb3e839e31265faaf073e | 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": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target":... | {"states": [0, 1023], "expectation_value": -7.586451333531439, "params": [[[-0.0193, -0.8827], [0.0019, -0.0064], [0.0029000000000000002, 0.0028], [0.0021000000000000003, 0.0028], [0.003, 0.002], [0.0023, -0.0024000000000000002], [0.0024000000000000002, 0.0021000000000000003], [0.0028, 0.0023], [0.0023, -0.002100000000... | -0.25 * (Z(0) @ Z(8)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(10) @ Z(8)) + -0.5 * (Z(10) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(10)) + -0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 15 | 11 | 3 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.2914143379545892) q[0];
ry(0.019018688334968274) q[1];
ry(0.0009112809639463294) q[2];
ry(0.025636931019475312) q[3];
ry(0.009265349886640422) q[4];
ry(-0.01945340878504003) q[5];
ry(0.06704389347333063) q[6];
ry(0.006567284239184323) q[7];
ry(-0.01945340878504003... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIZIIIIIIIZ",
"IIIIIZIIIZI",
"IIZIZIIIIII",
"IIIIZIIIIZI",
"ZIZIIIIIIII",
"ZIIIIIIIIZI",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIIIIIZZI",
"ZIIIIIIIZII",
"IIIIZIIZIII",
"ZIIIIIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"ZIIIIIZIIII",
"IIZZIIIIIII",
"IIIZIIIIIZI",
"IZIIIIIIIZI",
"IZIIIIIIZ... | [
-0.25,
-0.5,
-0.25,
-0.5,
-0.75,
-0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
1.5,
-0.5,
0,
-1.5,
0,
0.75,
0,
0.75
] | 0.972253 | [
0.2914143379545892,
0.019018688334968274,
0.0009112809639463294,
0.025636931019475312,
0.009265349886640422,
-0.01945340878504003,
0.06704389347333063,
0.006567284239184323,
-2.275920299250488,
-0.376979350318399,
-2.362254319516095,
0.30445746659906897,
0.0002758444082375418,
0.0138823902... | {
"n_parameters": 37,
"n_qubits": 11,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 165 |
d84f9d44a9dfbf26b97835693b75dc35 | 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": 7, "source": 0, "target": 2}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4... | {"states": [74, 11], "expectation_value": -10.911873809313136, "params": null, "bitstrings": ["0110101", "1110100"], "total_optimization_steps": 42, "probabilities": [0.060939195303113376, 0.804994725968748], "optimization_time": 34.3759069442749} | -1.75 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * Z(2) + -0.25 * Z(0) + 1.0 * Z(1) + 0.5 * Z(3) + -0.75 * Z(4) + 0.75 * Z(6) + 0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["1110100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0544957536205479) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.5557826562327215) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(-0.0032907376431637395) q[3];
cx q[1], q[3];
h q[4];
cx q[2], q[4];
rz(-0.5557826562327215) q[4];
cx... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"IIZIZII",
"IIZIIZI",
"ZIIIIIZ",
"ZIIZIII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
-1.75,
-1.5,
-0.25,
-1.5,
-0.75,
2,
-1.25,
-0.5,
-1.75,
-0.25,
1,
0.5,
-0.75,
0.75,
0.5
] | 0.970515 | [
-0.0544957536205479,
-0.5557826562327215,
-0.0032907376431637395,
0.299953952003397,
0.05659349816966682,
-0.066347426645714,
-0.027618368665391912,
0.24420021272805226,
-1.0163539925721223,
0.3888089131107649,
-1.3118888107954043,
0.3953896828377394,
-0.4523545525544179,
0.702687476802465... | {
"n_parameters": 44,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 168 |
519c34a92d635f5d0d1d5056f186a00b | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [89, 81], "expectation_value": -6.180150561043261, "params": [0.0098, 0.3437, -0.021400000000000002, 0.0623, 0.0015, 1.4846000000000001, -0.0037, 1.5248000000000002, -0.49960000000000004, 1.683, 0.41090000000000004, 0.8126, 0.0033, 0.9369000000000001, 0.001, 1.3505, -0.5229, 1.3494000000000002, 0.5038, 0.724... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + 1.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.25 * (Z(3) ... | 6 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000010", "100000000", "110000000", "110000010", "110101110", "110100110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.0505005019312091) q[0];
ry(0.028410891701922993) q[1];
ry(0.028410891701922993) q[2];
ry(-0.2921272247047445) q[3];
ry(0.10444384253869617) q[4];
ry(0.028410891701922993) q[5];
ry(-0.0505005019312091) q[6];
ry(0.07638954939930696) q[7];
ry(2.7679972102205896) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"IZIIIIZII",
"IIZIZIIII",
"IIIIZIZII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"IIZIIZIII",
"ZIIIIZIII",
"IIZZIIIII",
"IZIZIIIII",
"IIIZZIIII",
"IIIZIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.75,
1.25,
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-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
0.75,
0.5,
-0.25,
-0.5,
0.75
] | 0.974255 | [
-0.0505005019312091,
0.028410891701922993,
-0.2921272247047445,
0.10444384253869617,
0.07638954939930696,
2.7679972102205896,
-3.0978092855595905,
0.11907677866538086,
-0.059719361523734395,
0.04894987958156796,
0.09175757565966891,
0.06123634315340683,
0.08862005027616075,
0.4386087598522... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 11 |
dd5fc1f9f83fb22d203285a7c9a347ac | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 6, "target":... | {"states": [504, 507], "expectation_value": -8.540039435512902, "params": null, "bitstrings": ["000000111", "000000100"], "total_optimization_steps": 99, "probabilities": [0.15796936481557902, 0.4729286822727073], "optimization_time": 125.28729343414307} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(6) | 5 | 9 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["000000100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.8172203096163698) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.8172203096163698) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.6794975297045968) q[1];
cx q[0], q[1];
rz(-0.6794975297045966) q[0];
rx(2.048574796605975) q[0];
rz(-0.67... | null | {"node": 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];\ncry(1.5681) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.583059 | [
-0.8172203096163698,
-0.6794975297045968,
-0.8500188890012612,
1.5707962886514641,
2.048574796605975
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 166 |
21fb824db9d4571acc6db752df147323 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [243, 182], "expectation_value": -19.180367530547404, "params": [[0.0337, 0.0154], [-0.065, -0.0707]], "bitstrings": ["100001100", "101001001"], "total_optimization_steps": 10, "probabilities": [0.006674265220124461, 0.007552354470369742], "optimization_time": 3.6729676723480225} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(8)) + 11.5 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 159.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.25549267704344236) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.25549267704344236) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(0.25549267704344236) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.30410009839415686) q[1];
rx(0.1258136... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIZIIII",
"ZIZIIIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11.5,
4,
9.5,
17,
17.5,
6.5,
14.5,
4.5,
11
] | 0.956651 | [
0.25549267704344236,
-0.3041000983941558,
0.9848763284385804,
1.2188036063518455,
-1.2756975813505953,
-1.8944588483939733,
0.2657877683668698,
-1.754342394793927,
-1.3441944115109647,
0.1258136736015813,
-0.15876278426209414,
-1.4367388359047493,
0.1028262008911357,
-0.011542361849532222,... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 500 |
-3157302381660211115 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [3, 6], [0, 5], [8, 5], [1, 3], [1, 6], [0, 7], [8, 7], [1, 2], [3, 4], [5, 7], [2, 6], [1, 4], [0, 8], [2, 5]]} | {"states": [348, 284], "expectation_value": -1.4119314279733781, "params": [1.1971, -0.07590000000000001, 0.9129, 0.0077, 1.1935, 0.3037, 0.8745, 0.009000000000000001, 0.9347000000000001, 0.3126, 0.5424, 0.01, 0.8505, 0.5189, 0.4642, 0.0037, 1.1918, 0.12010000000000001, 1.0766, 0.0045000000000000005, 1.1878, -0.0837000... | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) ... | 5 | 9 | 1 | {"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": ["000011101", "000011110", "111100010", "111100001", "011100011", "100011100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(0.49710203531280295) q[1];
cx q[5], q[1];
cx q[1], q[3];
rz(0.49710203531280295) q[3];
cx q[1], q[3];
cx q[5], q[0];
rz(0.49710203531280295) q[0];
cx q[5], q[0];
h q[6];
cx q[1], q[6];
rz(0.49710203531280... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIZIIIZI",
"IIIIIZIZI",
"IIZIIIIZI",
"IIZIIZIII",
"IIIZIIIIZ",
"ZIIZIIIII",
"ZIIIIIIIZ",
"IZIZIIIII",
"IZIIIIIIZ",
"ZZIIIIIII",
"IIIZIIZII",
"IIIIIIZZI",
"IIZIIIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIZIIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.521922 | [
0.49710203531280295,
-1.7510023132553513e-8,
-0.6162569686825089
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 96 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}], "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": [2, 3], "expectation_value": -10.685735496095543, "params": [[[0.1497, 0.2296], [0.19340000000000002, 0.2165], [0.1991, -0.21660000000000001], [0.1832, -0.2204], [0.5837, 0.001], [0.5268, -0.0018000000000000002]], [[0.1531, 0.2296], [0.1913, 0.2165], [0.1978, -0.216], [0.1812, -0.2205], [0.5844, 0.001], [0.5... | 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 ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008488357935385014) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008488357935385014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008488357935385014) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.008488357935385014) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
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,
-5.75,
-6,
-5.75,
-5.75,
-5.5,
-5.25
] | 0.975971 | [
-0.008488357935385014,
1.2282148178064172,
-0.8433163024275433,
1.9725853102242956,
0.7728853189660121,
1.8680963585552939,
1.0323223109501083,
-1.0872816684056126,
-1.4919523916296222,
-1.1032332760214447,
0.051606515557825625,
0.9174931232599342,
-0.7487650083959976,
-0.9471809696574603,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 87 |
44f2999396e93485f9b2b45d8a91217a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capac... | {"states": [17, 1], "expectation_value": -1.1655769650367687, "params": [[0.054900000000000004], [-0.044700000000000004]], "bitstrings": ["1111101110", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0013986165108855044, 0.0015132258192824348], "optimization_time": 3.641512155532837} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.25 * (Z(6) @ Z(4)) + 3.5 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(6)) + -0.75 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-28.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.15910970580688524) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.0038582088346806554) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.0038582088346806554) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.03158128023667068) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIIZIIZIII",
"IIIZIZIIII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZIIZIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZIZIIIIII",
"IZZIIIIIII"... | [
-0.25,
-0.75,
-0.75,
-1,
-1.5,
-0.5,
-1,
-1,
-0.25,
-1.25,
3.5,
-1.25,
-0.75,
-0.25,
-1,
-1.25,
-3,
-0.25,
-1.25,
-1.5,
-1.5,
-0.75,
-1.5,
-0.25,
-2.5,
-0.25,
-0.5,
0,
0.5,
-1,
2.25,
-3.75,
2.75,
2.5
] | 0.595485 | [
-0.15910970580688524,
-0.0038582088346806554,
0.03158128023667068,
-0.000005081174784754178,
0.09765506338657767,
0.01309462482523011,
-0.004550848358642537,
0.00007930193667712565,
-1.5708643754234923,
1.5747197212317825,
-1.5694599004675893,
1.571276966721134,
-1.5706225631956332,
1.5715... | {
"n_parameters": 16,
"n_qubits": 10,
"optimal_eigenvalue": -28.25,
"target_ratio": 0.97,
"target_value": -27.4025
} | 389 |
3edaf02080dd4f2f34de124f69ca8c1c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [66, 68], "expectation_value": -6.473037878557627, "params": null, "bitstrings": ["0111101", "0111011"], "total_optimization_steps": 18, "probabilities": [0.07436440049462849, 0.8991250369531288], "optimization_time": 15.072770357131958} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101011", "0011111", "0111011", "1110101", "0111101"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.14998177780010405) q[0];
ry(3.132322744548159) q[1];
ry(0.2101142822892196) q[2];
ry(2.7281837271741396) q[3];
ry(-0.09003865728064556) q[4];
ry(-0.1262149678024054) q[5];
ry(-0.45465218275571384) q[6];
ry(-0.04767636880660755) q[7];
ry(0.3325816228502928) q[8];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"IIIZIZI",
"ZIIIIZI",
"IIZZIII",
"ZIZIIII",
"IIZIIZI",
"IZIIZII",
"ZZIIIII",
"IZIIIZI",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-2,
-2.5,
-2,
-1.5,
-1.5
] | 0.973959 | [
-0.14998177780010405,
3.132322744548159,
0.2101142822892196,
2.7281837271741396,
-0.09003865728064556,
-0.1262149678024054,
-0.45465218275571384,
-0.04767636880660755,
0.3325816228502928,
0.018934541355018666,
0.2554664640480989,
0.19204851447096838,
2.677386516937803,
-0.16576950063786064... | {
"n_parameters": 32,
"n_qubits": 16,
"optimal_eigenvalue": -4.7187500000000036,
"target_ratio": 0.97,
"target_value": -4.5771875000000035
} | 20 |
58c515fe341b1592186b5def2da8a2f8 | 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": [202, 218], "expectation_value": -85.97315395339618, "params": [[[0.7039000000000001, 0.13970000000000002], [0.1315, 0.1245], [0.6917, 0.3617], [0.5262, 0.4807], [0.2838, 0.30720000000000003], [0.0555, 0.0864], [0.5595, 0.6792], [0.0102, 0.6438], [0.2031, 0.46890000000000004], [0.5637, -0.0246]], [[0.6888000... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(0) @ Z(3)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(5) @ Z(7)) + 6.5 * (Z(5) @ Z(8)) + 6.5 * (Z(9) @ Z(8)) + 14.5 * Z(2) + -5.5 * Z(1) + 6.0 * ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-108.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -101.0, "smallest_bitstrings": ["1100100101"], "largest_eigenvalue": 168.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.5679699277468622) q[0];
ry(0.20605941935518238) q[1];
ry(0.6456678769413263) q[2];
ry(0.9151489228301549) q[3];
ry(-0.07313765325880026) q[4];
ry(-0.296913925792979) q[5];
ry(0.912961082953785) q[6];
ry(-0.020198993796738313) q[7];
ry(0.7660760106397922) q[8];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZIIZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIZZIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IZIIZIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
14.5,
-5.5,
6,
-5.5,
11.5,
25,
8.5,
22,
12,
-5
] | 0.973565 | [
0.5679699277468622,
0.20605941935518238,
0.6456678769413263,
0.9151489228301549,
-0.07313765325880026,
-0.296913925792979,
0.912961082953785,
-0.020198993796738313,
0.7660760106397922,
0.3998791883944501,
-0.03518172070593411,
-0.03468055858813852,
0.032531804757462535,
-0.0982282536009720... | {
"n_parameters": 76,
"n_qubits": 10,
"optimal_eigenvalue": -108,
"target_ratio": 0.97,
"target_value": -104.75999999999999
} | 67 |
-8897099806926475842 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4, 5, 6], [0, 1, 2, 5, 6], [0, 4, 5], [3, 4, 6], [2, 3, 5, 6], [2, 3, 4], [1, 3, 6], [0, 1, 2, 4]]} | {"states": [91, 55], "expectation_value": -1.2223917757613345, "params": [[0.3768], [-0.36610000000000004]], "bitstrings": ["0100100", "1001000"], "total_optimization_steps": 40, "probabilities": [0.021368338442771376, 0.02204449586491865], "optimization_time": 1.7699501514434814} | 0.18333333333333335 * (Z(1) @ Z(2)) + 0.3 * (Z(4) @ Z(2)) + 0.13333333333333333 * (Z(4) @ Z(1)) + 0.18333333333333335 * (Z(5) @ Z(2)) + 0.1 * (Z(5) @ Z(1)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.18333333333333335 * (Z(6) @ Z(2)) + 0.26666666666666666 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(4)) + 0.18333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0333333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9000000000000004, "smallest_bitstrings": ["1001000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.013741610088736946) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.01025542667939891) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.03834853752786159) q[4];
cx q[1], q[4];
h q[5];
cx q[2], q[5];
rz(-0.013741610088736946... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIZIZII",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"IZZIIII",
"ZIIIZII",
"ZIIIIZI",
"ZIZIIII",
"ZZIIIII",
"IIIIZIZ",
"IIIIIZZ",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZZII",
"IIIZIZI",
"IIZZIII",
"IZIZIII",
"ZIIZIII",
"IIIIZII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZII... | [
0.18333333333333335,
0.3,
0.13333333333333333,
0.18333333333333335,
0.1,
0.21666666666666667,
0.18333333333333335,
0.26666666666666666,
0.21666666666666667,
0.18333333333333335,
0.13333333333333333,
0.13333333333333333,
0.25,
0.21666666666666667,
0.05,
0.25,
0.16666666666666666,
0.... | 0.973974 | [
-0.013741610088736946,
0.01025542667939891,
-0.03834853752786159,
0.10822437692429843,
-0.05319051191234217,
0.04143867878735068,
-0.007398312668282926,
0.035673319261595324,
0.041449468700024264,
0.13077515911228568,
0.0033518696450310324,
2.1052373695451774,
1.6014428905071565,
1.5116822... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -2.0333333333333337,
"target_ratio": 0.97,
"target_value": -1.9723333333333335
} | 79 |
7d6ca7bcb082771e20acb1517cc99090 | 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": 6, "source": 0, "target": 1}, {"weight": 6, "source": 2, "target": 3}, {"weight": 14, "source": 2, "target": 4}, {"weight": 17, "source": 2, "targ... | {"states": [126, 118], "expectation_value": -36.972265922355305, "params": [[-0.0448, 0.0095, 0.0036000000000000003, 0.0109], [0.08080000000000001, 0.0553, 0.06420000000000001, 0.0627]], "bitstrings": ["110000001", "110001001"], "total_optimization_steps": 10, "probabilities": [0.0125652649073535, 0.013686421476025898]... | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["110001001"], "largest_eigenvalue": 183.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-0.7199121830629105) q[0];
ry(0.06677871602384747) q[0];
rz(1.3786347799128613) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.42428552918180296) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.42428552918180296) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.42428552918180296... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
20.5,
7.5,
13,
14.5,
14,
16,
19,
5,
-6
] | 0.970518 | [
0.42428552918180296,
-1.965833218271943,
1.0493207160015365,
-2.6834936732693384,
-0.31644052236695974,
0.18369882609231244,
-1.5289981623644935,
-1.4831165788801393,
0.9338974206381244,
0.9704922057475008,
0.11490768893024489,
-0.3990331598156071,
0.5720257634427621,
0.5661569682689304,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -85,
"target_ratio": 0.97,
"target_value": -82.45
} | 93 |
-3775562683596928461 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 5, 7], [8, 0, 2], [0, 2, 4], [6, 7], [3, 4], [1, 3, 5], [0, 5], [4, 5], [8, 5], [1, 7], [0, 1, 3], [2, 3], [5, 6], [8, 0, 3], [0, 6], [2, 6]]} | {"states": [298, 362], "expectation_value": -1.2547514349963287, "params": [[-0.232], [0.24350000000000002]], "bitstrings": ["011010101", "010010101"], "total_optimization_steps": 30, "probabilities": [0.006729442169209346, 0.006833138517987722], "optimization_time": 4.368335247039795} | 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.5 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(8)) + 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.333333333333332, "smallest_bitstrings": ["010010101"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(0.03502422142282709) q[2];
cx q[5], q[2];
h q[6];
h q[7];
cx q[5], q[7];
rz(0.03502422142282709) q[7];
cx q[5], q[7];
cx q[2], q[7];
rz(0.03502422142282709) q[7];
cx q[2], q[7];
h q[8];
cx q[5], q[8];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[5], q[7];
rz(x0) q[7... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZII",
"IZIZIIIII",
"IZIIIIZII",
"ZIIZIIIII",
"ZIIIIIZII",
"IIIZIIIIZ",
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIIZZIIII",
"IIIIZIZII",
"IIIIZIIIZ",
"IIZZIIIII",
"IIZIIIZII",
"IZZIIIIII",
"IIZIIIIIZ",
"IIIZIZIII",
"IIIIIZZII",
"ZIIIIZIII",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.1... | 0.47835 | [
0.03502422142282709,
-0.5676629208037892,
-0.1741269313976649,
-1.3663744022477073,
0.6639426626287832,
0.8168935244991573
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -4.666666666666666,
"target_ratio": 0.97,
"target_value": -4.526666666666666
} | 158 |
5469224300817391751 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 4, 5], [0, 2], [1, 6]]} | {"states": [77, 31], "expectation_value": -0.0274866879256978, "params": [[-0.08080000000000001], [0.0786]], "bitstrings": ["0110010", "1100000"], "total_optimization_steps": 10, "probabilities": [0.008269024881027789, 0.008269366202084686], "optimization_time": 3.3001677989959717} | 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.09999999999999998 * Z(1) + 0.099999999999999... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002], "number_of_smallest_... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06752986884660536) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.06752986884660536) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.06752986884660536) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.06752986884660536) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"IIIIZIZ",
"ZIIIIZI",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.5,
0.09999999999999998,
0.09999999999999998,
0.1,
0.1,
0.1,
0,
0
] | 0.973009 | [
-0.06752986884660536,
-3.5796481670830786,
-1.6003651972352606,
1.4635552138590688,
1.7002556621476757
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -1.2000000000000002,
"target_ratio": 0.97,
"target_value": -1.1640000000000001
} | 12 |
788893f2d0502b688315a8e438b63984 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 7, "s... | {"states": [253, 255], "expectation_value": -8.416181428221824, "params": null, "bitstrings": ["100000010", "100000000"], "total_optimization_steps": 100, "probabilities": [0.18559397922120133, 0.2781558327462927], "optimization_time": 218.37330198287964} | -0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(0)) + 4.25 * (Z(8) @ Z(0)) + -1.5 * (Z(8) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.75 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -1.5 * (Z(7) @ Z(6)) + -1.75 * (Z(7) @ Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-22.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 21.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.2093917706819032) q[0];
ry(0.04127060081754783) q[1];
ry(-0.019569081278429344) q[2];
ry(-0.019569081278429344) q[3];
ry(0.02197258751737647) q[4];
ry(0.007840515537099434) q[5];
ry(0.017628468198506612) q[6];
ry(-0.16118253539208177) q[7];
ry(1.187256182683395) q[... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIIIIZI",
"IZIIIIZII",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIIZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZZIIIII",
"ZIIZIIIII",
"IIIZIZIII",
"... | [
-0.5,
-1.5,
-1.5,
-0.25,
-0.5,
-1.75,
4.25,
-1.5,
-0.75,
-1,
-1.75,
-0.5,
-1.5,
-1.75,
-1.75,
-1.5,
-1,
-1,
-1.25,
-1,
-1.5,
-2.25,
-2.5,
-0.25,
-1.5,
0.75,
2.5,
0,
0.5,
1,
-0.5
] | 0.970357 | [
0.2093917706819032,
0.04127060081754783,
-0.019569081278429344,
0.02197258751737647,
0.007840515537099434,
0.017628468198506612,
-0.16118253539208177,
1.187256182683395,
-0.443443102884173,
0.006207324591877363,
-0.005541982139036582,
-0.03896894827650145,
-0.01956509030862061,
-0.00227828... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -22.75,
"target_ratio": 0.97,
"target_value": -22.0675
} | 56 |
fa12f3a697c97a90a7d75ad197dde7b9 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [34, 42], "expectation_value": -0.34691293229573883, "params": [[0.059500000000000004, 0.0551, 0.0563, 0.07350000000000001], [-0.0636, -0.048, -0.0388, -0.052000000000000005]], "bitstrings": ["011101", "010101"], "total_optimization_steps": 10, "probabilities": [0.021201734970230837, 0.026910191112320958], "... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(2) @ Z(4)) + 0.0 * Z(0) + 0.0 * Z... | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["010101"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IZZIIZ",
"IZIZII",
"ZIIZII",
"ZZIIII",
"ZZIZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0,
0,
-0.75,
-0.75,
0,
-0.75
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
eee150816444ab6c0c032eb91552e06d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [230, 118], "expectation_value": -18.289470257582643, "params": [[0.0224, 0.0148], [-0.0609, -0.0799]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.009897362425892602, 0.01230462520713619], "optimization_time": 3.0402424335479736} | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 6.5 * Z(0) + 14.5 * Z(3) + 16.0 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 147.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.08359153405910102) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.08359153405910102) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(-0.08359153405910102) q[2];
cx q[0], q[2];
rz(-0.6230116833480315) q[0];
rx(-0.14138809184834245) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIIZIIZI",
"IZIZIIII",
"IIZIIZII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6.5,
14.5,
16,
20.5,
5,
7,
16.5,
2.5
] | 0.974155 | [
-0.08359153405910102,
-0.6230116833480315,
1.5653275161268936,
1.0310613862456777,
1.5347143697465482,
0.46865926777689526,
0.8463733394794115,
2.317186358225583,
-0.5940988830094119,
-0.14138809184834245,
-0.0711672622474596,
-0.6201044770192409,
0.4086438400107286,
-0.32713169483651033,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 63 |
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": -0.38086036847892585, "params": [[0.0734, 0.0786], [-0.07740000000000001, -0.0805]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.012196340504605135, 0.012943545439200971], "optimization_time": 2.6502370834350586} | -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 | 2 | {"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] 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] ... | {"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 |
600a12ed8acc1493d24fddbcbeff68c8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capac... | {"states": [0, 1], "expectation_value": -12.118070146680804, "params": [-0.0006000000000000001, 0.1622, 0.0059, 0.2156, 0.0002, 0.2316, -0.0015, 0.2369, -0.001, 0.22440000000000002, -0.0028, 0.2177, 0.0053, 0.2225, 0.0047, 0.225, -0.0036000000000000003, 0.2381, 0.0005, 0.2379, -0.0068000000000000005, 0.1769, 0.0015, 0.... | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(8) @ Z(2)) + -1.25 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(3)) + 2.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(9) ... | 6 | 10 | 3 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -13.0, "smallest_bitstrings": ["1110101100", "1110101000", "1110100000", "1111111110"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.10235181306663749) q[0];
rz(1.783960739796636) q[0];
rx(0.005196556850576228) q[1];
rz(1.7196693976995423) q[1];
rx(-0.15553266644044964) q[2];
rz(1.7036339359087265) q[2];
rx(0.16400003819464995) q[3];
rz(1.6254032971902408) q[3];
rx(-0.050327272690568525) 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] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIIIIZIZI",
"IZIIIIIZII",
"IZIIZIIIII",
"IZIIIIZIII",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIIIIZIII",
"ZZIIIIIIII",
"IIZIZIIIII",
"IZZIIIIIII",
"IIIZIIIIZI",
"IIZZIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ"... | [
-0.5,
-0.75,
-0.75,
-1,
-0.5,
-0.75,
-0.75,
-0.25,
-1.25,
-0.5,
2.25,
-0.25,
-0.25,
-0.5,
-0.75,
-0.75,
-1,
-0.75,
-0.25,
-0.25,
-0.5,
0.5,
-2.75,
1.75,
0.75,
1.25,
-0.75,
0.25
] | 0.972306 | [
0.10235181306663751,
0.2131644130017395,
0.005196556850576227,
0.14887307090464605,
-0.15553266644044964,
0.13283760911382933,
0.16400003819464992,
0.05460697039534368,
-0.050327272690568525,
0.25067395110619195,
-0.07275420580086236,
0.17206052977121183,
0.07721293223549788,
0.12953310071... | {
"n_parameters": 124,
"n_qubits": 10,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 9 |
5677971246915855506 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 6], [0, 1], [3, 12, 5], [11, 12], [1, 10], [3, 5, 7], [0, 7], [8, 1, 5], [9, 1], [3, 12, 6], [8, 3, 5], [0, 8], [2, 4, 5], [2, 5, 7], [9, 10, 7], [8, 7], [2, 3], [4, 6], [8, 2, 4]]} | {"states": [2801, 3313], "expectation_value": -2.9761955169832097, "params": [0.2936, 0.32480000000000003, 0.2913, 0.009600000000000001, 1.1061, -0.02, 1.0962, 0.0008, 0.7631, 0.0438, 0.7603000000000001, 0.0089, 0.8636, 0.1355, 0.6753, -0.1602, 0.7325, -0.11130000000000001, 0.7332000000000001, 0.0089, 1.0929, 0.0047, 1... | 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(12) @ Z(6)) + 0.3333333333333333 * (Z(12) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(12)) + 0.5 * (Z(11) @ Z(12)) + 0.16666666666666... | 8 | 13 | 1 | {"smallest_eigenvalues": [-5.999999999999999, -5.999999999999999, -5.999999999999999], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.666666666666667, "smallest_bitstrings": ["0110001100010", "0110001100001", "1001100001110"], "largest_eigenvalue": 13.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.16487250241051712) q[0];
rz(2.2081172364460926) q[0];
rx(1.147244059761488) q[1];
rz(0.07944366355833694) q[1];
cx q[1], q[0];
ry(0.09512883169855818) q[0];
cx q[1], q[0];
ry(-0.2522970903419415) q[0];
rz(-1.7909417806996686) q[0];
rx(1.6110994106802128) 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": []} | [
"IIIZIIZIIIIII",
"IIIZIIIIIIIZI",
"IIIIIIIIIIIZZ",
"IIIIIIZIIZIII",
"ZIIIIIZIIIIII",
"ZIIIIIIIIZIII",
"IIIIIIIZIIIZI",
"IIIIIIIZIZIII",
"ZIIIIIIZIIIII",
"ZZIIIIIIIIIII",
"IIZZIIIIIIIII",
"IIZIIIIIIIIZI",
"IIIZIZIIIIIII",
"IIIIIZIIIIIIZ",
"IIIIIZIIIZIII",
"IIIIIZIZIIIII",
"IIZIIZIIIII... | [
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.1666666... | 0.972049 | [
0.16487250241051712,
0.6373209096511964,
1.147244059761488,
0.07944366355833694,
1.6260598389696452,
-0.03704179591460918,
0.45898452306558646,
0.031321656803787595,
-0.047331396433733616,
-0.09761587274644482,
0.5631279336715115,
-0.041821644658317725,
1.1545965431554903,
0.10934815223111... | {
"n_parameters": 62,
"n_qubits": 13,
"optimal_eigenvalue": -5.999999999999999,
"target_ratio": 0.97,
"target_value": -5.819999999999999
} | 63 |
b8c7e79af4682218bd30d0f5613d6971 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [62, 60], "expectation_value": -5.190182587350666, "params": [0.0001, 0.1802, 0.0033, 0.1829, -0.0027, 0.1825, 0.006, 0.19290000000000002, 0.29450000000000004, 0.0004, 0.30360000000000004, 0.0412, 0.3033, 0.0016, 0.3007, -0.001, 0.24710000000000001, 0.0073, 0.2447, 0.0074, 0.2992, 0.0015, 0.30720000000000003... | 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(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + ... | 7 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["11000011", "11001001", "11101000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.014790365460040061) q[0];
rz(-0.11540342196975928) q[0];
rx(-0.07236796852261596) q[1];
rz(0.4090497980367895) q[1];
cx q[1], q[0];
rz(0.24592348526618668) q[0];
cx q[1], q[0];
rz(-1.356727995960579) q[0];
ry(0.03453072544218322) q[0];
rz(1.8261067765322538) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"IIZIIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIZIIII"
] | [
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,
-0.5,
-0.5,
-1.5,
0,
-0.5
] | 0.982425 | [
-0.014790365460040061,
0.13052006329642768,
-0.07236796852261596,
0.4090497980367895,
0.2519201179381218,
-0.07577932680978519,
0.43285413274997664,
0.21751909978906797,
0.388295539439938,
0.11767459662081237,
0.3489015956299394,
0.10951432070737774,
-0.10940083114360527,
-0.00954838769980... | {
"n_parameters": 131,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 11 |
d30c0386d8d3b385abfc19e03f7b5ca3 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [302, 430], "expectation_value": -2.9844375171592286, "params": [0.8016000000000001, -0.001, 0.4214, -0.0056, 0.0033, 0.5497000000000001, 0.6143000000000001, 0.1107, 0.091, 0.5859, 0.9243, 0.0999, 0.7883, 0.0451, 0.7913, 0.0178, -0.0016, -0.5503, 0.7839, -0.0001, 0.41700000000000004, -0.0098, 0.0047, 0.5392,... | 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)) + 0.0625 * (... | 16 | 9 | 4 | {"smallest_eigenvalues": [-3.4375, -3.4375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.4375, "smallest_bitstrings": ["010001001", "001010001"], "largest_eigenvalue": 5.5625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02172569596093698) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.02172569596093698) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.02172569596093698) q[2];
cx q[0], q[2];
rz(1.736499027868886) q[2];
rx(-1.6454317969910583) q[2];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input floa... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IIIZZIIII",
"IIZIZIIII",
"IZIIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0... | 0.988948 | [
-0.02172569596093698,
-1.632171019885014,
-1.5273591642926907,
1.736499027868886,
-1.63086528192634,
-1.6454317969910583
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 32 |
a07052543e953a2a9ccbe44162c2c07e | 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": [337, 849], "expectation_value": -137.74807148035092, "params": [[0.0032, 0.18530000000000002, 0.3904, 0.792, 0.0019, 0.6338, 0.0538, 0.6335000000000001, 0.0066, 0.0026000000000000003, 0.0687, 0.7689], [0.0031000000000000003, -0.0328, -0.0134, 0.38370000000000004, 0.005, 0.6299, 0.07200000000000001, 0.6391, ... | 8.5 * (Z(2) @ Z(3)) + 8.5 * (Z(1) @ Z(3)) + 8.5 * (Z(1) @ Z(2)) + 8.5 * (Z(4) @ Z(5)) + 8.5 * (Z(6) @ Z(2)) + 8.5 * (Z(7) @ Z(3)) + 8.5 * (Z(7) @ Z(6)) + 8.5 * (Z(8) @ Z(5)) + 8.5 * (Z(10) @ Z(3)) + 8.5 * (Z(10) @ Z(7)) + 8.5 * (Z(11) @ Z(3)) + 8.5 * (Z(11) @ Z(7)) + 8.5 * (Z(11) @ Z(10)) + 33.5 * Z(3) + 16.5 * Z(2) + ... | 10 | 12 | 4 | {"smallest_eigenvalues": [-159.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -150.0, "smallest_bitstrings": ["110010101110"], "largest_eigenvalue": 250.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.018386780149974084) q[0];
ry(0.07224180901832196) q[1];
ry(0.8840889005503101) q[2];
ry(0.9671588325127491) q[3];
ry(-0.14915428964150995) q[4];
ry(0.7342581213430538) q[5];
ry(-0.015388503663133036) q[6];
ry(0.9112724800670078) q[7];
ry(-0.014756169308125462) 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, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZII",
"IIIIIIIIZIZI",
"IIIIIIIIIZZI",
"IIIIIIZZIIII",
"IIIIIZIIIZII",
"IIIIZIIIZIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IZIIIIIIZIII",
"IZIIZIIIIIII",
"ZIIIIIIIZIII",
"ZIIIZIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIZIII",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIZIIIII",
"IIIIIIIZI... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
33.5,
16.5,
3.5,
6.5,
-7,
3.5,
22.5,
-4,
11,
15.5,
-15.5,
-13.5
] | 0.978673 | [
0.018386780149974084,
0.07224180901832196,
0.8840889005503101,
0.9671588325127491,
-0.14915428964150995,
0.7342581213430538,
-0.015388503663133036,
0.9112724800670078,
-0.014756169308125462,
-0.09131471681625962,
0.24890237417835792,
1.0017276166688514,
0.21337785854731564,
-0.139179259087... | {
"n_parameters": 56,
"n_qubits": 12,
"optimal_eigenvalue": -159,
"target_ratio": 0.97,
"target_value": -154.23
} | 13 |
c0497b20d0e680cacc77174a13e8b8b4 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [87, 23], "expectation_value": -3.1070433837157587, "params": [-0.0009000000000000001, 0.37270000000000003, -0.0024000000000000002, 0.3785, 0.2388, 0.2584, 0.22660000000000002, 0.2992, -0.010700000000000001, 0.2923, -0.0109, 0.3032, 0.49770000000000003, 0.0683, 0.49100000000000005, 0.0178, 0.004, 0.2818, 0.0... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(1) @ Z(5)) + -0.125 * (Z(3) @ Z(1) @ Z(6)) + -0.125 * (Z(1) @ Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + 0.12... | 7 | 8 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.375, "smallest_bitstrings": ["10110010", "10101100", "10111000", "11001001", "11001100", "11101000", "10101010"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.0034026311700899) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-0.0034026311700899) q[0];
cx q[6], q[0];
rz(0.08707718680774468) q[0];
rx(1.6068609355902328) q[0];
cx q[6], q[4];
rz(-0.00340263117008... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIZZI",
"IIIZZIII",
"IIIIZIZI",
"IIZIIIZI",
"IZIIIIZI",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"IIZIZIZI",
"IZIIZIZI",
"IZZIIIZI",
"IZZIZIII",
"IZZIZIZI",
"IIZIIZII",
"ZIIIIZII",
"ZIZIIIII",
"ZIZIIZII",
"IZIZIIII",
"ZIIIIIIZ",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-1,
-0.125,
-0.25,
-0.125,
-0.5,
0.125,
-0.125,
-0.25
] | 0.970369 | [
-0.0034026311700899,
-0.26301475790782497,
0.08707718680774458,
1.5595170852256997,
1.5988629064548665,
1.6068609355902328,
-1.5706328661308941,
1.6822012540344695,
-0.1845861633258411,
1.1352603352915303,
0.43534770012848195,
-0.05375233225482663,
-0.1953687365154703,
3.189745870967778,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 166 |
-2518032784570385521 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [2, 7], [2, 3, 4], [8, 2], [8, 1], [1, 3, 6], [0, 4, 6], [3, 4, 7], [8, 4, 5], [3, 5], [0, 2], [1, 2, 4], [8, 7]]} | {"states": [254, 222], "expectation_value": -2.4485250624616595, "params": [0.405, 0.3931, 1.2923, 1.2941, 1.2877, 1.2922, 0.7207, 0.687, 1.2929000000000002, 1.2998, 1.2885, 1.0025, 1.2931000000000001, 1.2965, 1.2932000000000001, 1.2950000000000002, 0.2758, 0.2785, 0.1236, 1.0475, 1.0012, 0.25020000000000003, 0.9192, 0... | 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.166... | 14 | 9 | 1 | {"smallest_eigenvalues": [-4.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.833333333333334, "smallest_bitstrings": ["100100001"], "largest_eigenvalue": 9.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.39303141045591383) q[0];
rz(pi/2) q[0];
ry(2.1091345853322983) q[1];
ry(1.2169440463259105) q[2];
ry(0.06067582790345121) q[3];
ry(1.1770557928997636) q[4];
ry(1.659308588682636) q[5];
ry(1.5131475855824905) q[6];
ry(1.7069820058072416) q[7];
ry(0.0824812445615913... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"ZIZIIIIII",
"ZIIIIIZII",
"ZZIIIIIII",
"IZIIIIZII",
"IIZIIZIII",
"IIIIIZZII",
"IZIIIZIII",
"IIZIZIIII",
"ZIIIZIIII",
"IIIIZIZII",
"IZIIZIIII",
"IIIIZZIII",
"IIZIIIIZI",
"ZIIIIIIZI",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIZIIZI",
"IIZIIIIIZ",
"IIIIIIZIZ",
"IIIIZIIIZ",
"ZIIZIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666... | 0.97342 | [
-0.39303141045591383,
2.1091345853322983,
1.2169440463259105,
0.06067582790345121,
1.1770557928997636,
1.659308588682636,
1.5131475855824905,
1.7069820058072416,
0.08248124456159137,
0.8866519886748727,
0.03570613430966471,
0.9547408898408251,
0.5017567372008461,
-0.04383742941381564,
0.... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -4.166666666666668,
"target_ratio": 0.97,
"target_value": -4.041666666666668
} | 39 |
d6ef88caa86def69cf0a93d5f7ae1334 | min_cut | 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": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 4, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [0, 15], "expectation_value": -3.496888765437587, "params": [0.4035, 0.5916, -0.0027, 0.9217000000000001, 0.0323, 1.5188000000000001, -0.0058000000000000005, 0.6950000000000001, -0.4433, 1.3413000000000002, 0.7398, 0.3291, 0.7839, -0.24080000000000001, -0.0029000000000000002, 1.5698, 0.0058000000000000005, 1... | -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) | 4 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000", "110000"], "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 |
02575a12c565dc28617818fe7f0b4a99 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [124, 118], "expectation_value": -16.388734584859336, "params": [[0.0129, 0.0196, 0.0024000000000000002], [-0.0344, -0.0545, -0.052700000000000004]], "bitstrings": ["10000011", "10001001"], "total_optimization_steps": 10, "probabilities": [0.00941632153194095, 0.009886426321063733], "optimization_time": 7.27... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 9.5 * Z(1) + 7.5 * Z(0) + 13.5 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.23507353246165305) q[0];
ry(-2.4415664310148384) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-2.4499701101813587) q[2];
h q[3];
ry(0.9227705559152606) q[3];
h q[4];
ry(-2.458330084571739) q[5];
rz(-pi) q[5];
h q[6];
ry(39.04965588622594) q[6];
cx q[6], q[5];
ry(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
9.5,
7.5,
13.5,
13.5,
9,
14,
16.5,
4
] | 0.971754 | [
39.04965588622594,
-5.700698017949098,
2.166064408115155,
0.9227705559152606,
0.39121486102403674,
0.6100929370927086,
0.9591104863918101,
0.19270892417635244,
-0.4759729115203181,
0.08905781936669226,
-0.26208726603383503,
-0.3379662386073564,
0.04072076886277337,
-0.19606358742522542,
... | {
"n_parameters": 63,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 51 |
726a5ae01318539d56f80c3be6bbd791 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [5, 36], "expectation_value": -4.473039785707444, "params": null, "bitstrings": ["111010", "011011"], "total_optimization_steps": 17, "probabilities": [0.0743643311544431, 0.8991266787931326], "optimization_time": 12.959661483764648} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ 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(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["011011", "101101", "111010", "110011"], "largest_eigenvalue": 13.5} | 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(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-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 |
26d7f56e59bfdf48052023802b40605b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [17, 28], "expectation_value": -0.4183326692006737, "params": [[0.0684, 0.07350000000000001, 0.07250000000000001], [-0.041800000000000004, -0.0599, -0.06470000000000001]], "bitstrings": ["01110", "00011"], "total_optimization_steps": 10, "probabilities": [0.04256184366448154, 0.0460593563467271], "optimizati... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["00011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | OPENQASM 3.0;
include "stdgates.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[5] c;
qubit[5] ... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"IZIZI",
"ZZIII",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-1,
0
] | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
171e704e65359d5a57d8a8e54db87dfb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [5, 53], "expectation_value": -9.817323037918065, "params": [-0.00030000000000000003, 1.4565000000000001, -0.0028, 1.4144, -0.3922, -1.0223, -0.6525000000000001, 0.3115, -0.0043, 1.1082, 0.8976000000000001, 0.4393, 0.0045000000000000005, 1.0507, 1.0450000000000002, -0.0016, 0.0041, 1.4338, -0.003600000000000... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @... | 4 | 8 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11001010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-1.6082126260244147) q[0];
rz(-pi) q[1];
ry(-0.004965084752792572) q[1];
h q[2];
ry(1.6210136409714537) q[2];
h q[3];
ry(0.8105068204857269) q[3];
cx q[2], q[3];
ry(-0.8105068204857269) q[3];
cx q[2], q[3];
h q[4];
ry(-0.7621435308680935) q[4];
h q[5];
ry(0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IZIZIIII",
"IIIIIZZI",
"IZIIIZII",
"IIIIZIZI",
"IIIZZIII",
"IIIIZZII",
"IIZZIIII",
"IIZIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-1.5,
-0.5,
-0.75,
1.75,
-0.5,
-0.75,
-1.5,
-0.25,
-1.75,
-0.5,
2.25,
0.75,
0.5,
0.5
] | 0.99781 | [
1.6210136409714537,
1.5990030881178423,
-1.6082126260244147,
-1.524287061736187,
-1.4755763315842598,
-0.1627329857583258,
-0.10294869962300437,
-0.037105240853477536,
-0.0004364816468758982,
-0.1376101076604341
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 1 |
-7779120834497913470 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 5, 6, 7], [1, 11], [8, 11, 6], [11, 6, 7], [4, 7], [0, 1, 2, 7], [9, 10, 6], [1, 10, 3, 5], [2, 11, 5], [0, 1, 2, 5], [11, 5, 7], [8, 2, 4], [8, 1, 9], [8, 2, 5, 7], [9, 2, 1, 6], [10, 11], [11, 3], [8, 0, 3, 7], [8, 3, 6], [1, 2, 4], [9, 3, 6, 7], [8... | {"states": [1759, 1757], "expectation_value": -7.4731692082290655, "params": [[[0.19790000000000002, 0.0074, 0.0011, 0.0061], [0.0023, 0.8228000000000001, 1.5731000000000002, 0.0014], [3.0828, 0.0029000000000000002, 0.0045000000000000005, 0.0091], [0.0239, 0.0046, 0.0081, 0.0095], [3.0966, 0.0057, 0.0001, 0.0079], [-0.... | 0.25 * (Z(1) @ Z(7)) + 0.08333333333333333 * (Z(8) @ Z(7)) + 0.3333333333333333 * (Z(8) @ Z(1)) + 0.41666666666666663 * (Z(9) @ Z(7)) + 0.25 * (Z(9) @ Z(1)) + 0.3333333333333333 * (Z(9) @ Z(8)) + 0.3333333333333333 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(8)) + 0.3333333333333333 * (Z(3) @... | 12 | 12 | 1 | {"smallest_eigenvalues": [-7.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.583333333333335, "smallest_bitstrings": ["100100100010"], "largest_eigenvalue": 29.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.04707345029994148) q[0];
rz(0.10336448172312146) q[0];
ry(0.041647742146448556) q[1];
rz(0.7968406893552527) q[1];
cz q[1], q[0];
ry(-3.1147496302630904) q[1];
ry(3.005132191601621) q[2];
rz(0.08693741118908961) q[2];
ry(0.10525824070275314) q[3];
rz(0.07248573566... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIZIIIIIZI",
"IIIZZIIIIIII",
"IIIZIIIIIIZI",
"IIZIZIIIIIII",
"IIZIIIIIIIZI",
"IIZZIIIIIIII",
"IIIIZIIIZIII",
"IIIIIIIIZIZI",
"IIIZIIIIZIII",
"IIZIIIIIZIII",
"IZIIZIIIIIII",
"IZIIIIIIIIZI",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IZIIIIIIZIII",
"IIIIZZIIIIII",
"IIIIIZIIIIZI",
"IIZIIZIII... | [
0.25,
0.08333333333333333,
0.3333333333333333,
0.41666666666666663,
0.25,
0.3333333333333333,
0.3333333333333333,
0.5,
0.3333333333333333,
0.3333333333333333,
0.25,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0... | 0.972967 | [
0.04707345029994148,
0.10336448172312146,
0.041647742146448556,
0.7968406893552527,
3.005132191601621,
0.08693741118908961,
0.10525824070275314,
0.0724857356641757,
3.1410678701205823,
0.08421865349280999,
0.0286154841916081,
-0.8854675540497039,
-0.1725243086516024,
-0.11275378250788151,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -7.833333333333333,
"target_ratio": 0.97,
"target_value": -7.598333333333333
} | 4 |
7611023331787475372 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 4], [0, 1], [2, 3], [2, 5]]} | {"states": [42, 26], "expectation_value": -1.730311024878611, "params": null, "bitstrings": ["010101", "100101"], "total_optimization_steps": 38, "probabilities": [0.05106793339819197, 0.7341401491662072], "optimization_time": 27.68193244934082} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["101010", "010101", "100101", "011010"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.14124568309408322) q[0];
h q[1];
cx q[1], q[0];
ry(0.14124568309408322) q[0];
cx q[1], q[0];
ry(-1.2086880550516845) q[0];
ry(1.0808446510390195) q[1];
h q[2];
h q[3];
ry(-0.14124568309408322) q[3];
cx q[2], q[3];
ry(0.14124568309408322) q[3];
cx q[2], q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[2], 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 ... | [
"IZZIII",
"IIIIZZ",
"IIZZII",
"ZIIZII",
"IZIIII",
"IIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.97019 | [
-0.28249136618816645,
1.2630083525796008,
-0.36862942060043297,
1.2309102551785311,
0.9859255848352174,
-0.7601378871633739,
0.19506674811078756,
-0.44916072473762747,
-1.1406720447721954,
0.1898381324076039,
-0.1360320205589783,
0.5697733398930666,
0.3377912736825445,
-0.8417683268680475,... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 22 |
725c9b512790b6f65e71b3c284e6ef0c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}]} | {"states": [0, 28], "expectation_value": -3.918918006107881, "params": [-0.5131, 0.7956000000000001, -0.2526, 0.9331, -0.5256000000000001, 0.6880000000000001, -0.4232, 1.0896000000000001, -0.507, 0.7435, -0.2497, 0.8529, -0.2184, 0.4324, 0.0432, 0.7652, -0.4965, -0.07740000000000001, -0.4798, 0.41350000000000003, 0.487... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 1.0 * Z(4) + -1.0 * Z(3) | 6 | 5 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["00000", "00011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.2092259966300754) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-1.2092259966300754) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.36626893194598403) q[1];
cx q[0], q[1];
rz(-0.3662689319459842) q[0];
rx(-0.8807098386931145) q[0];
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[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IIZZI",
"IIIZZ",
"ZZIII",
"IIZII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IZIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.60193 | [
-1.2092259966300754,
-0.36626893194598403,
0.7796489636954859,
0.4751616547745804,
-0.8807098386931146
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 154 |
0615486ccb356b09654d7a8dd1e9f354 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3... | {"states": [0, 1], "expectation_value": -8.848132221829298, "params": [[[0.0035, 0.5062], [-0.0014, -0.0621], [0.0025, 0.4868], [0.0023, 0.5893], [0.0028, 0.5887], [0.6027, 0.0], [0.8118000000000001, 0.0037]], [[0.0035, 0.0073], [0.0058000000000000005, 0.0078000000000000005], [0.0023, 0.0004], [0.0023, 0.0088], [0.0028... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1111110", "1111100"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.007324372560228134) q[0];
rz(-0.3217446099573232) q[0];
rx(-0.32112615429581043) q[1];
rz(0.2552145491671141) q[1];
rx(0.05797674138136179) q[2];
rz(-0.45678662559611716) q[2];
rx(0.05797674138136179) q[3];
rz(-0.1372770562752476) q[3];
rx(-0.17000396403266071) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIIZZI",
"IIZIZII",
"IIIZIZI",
"IIZZIII",
"IIIZZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-0.75,
-1,
-0.75,
-0.75,
-0.25,
-1.5,
-0.75,
-1.25,
-0.25,
1.75,
-0.5,
-0.75,
-0.25,
-0.25,
0.5,
-0.75,
-1,
1,
0.75
] | 0.97204 | [
-0.007324372560228134,
-0.3217446099573232,
-0.32112615429581043,
0.2552145491671141,
0.05797674138136179,
-0.45678662559611716,
-0.1372770562752476,
-0.17000396403266071,
1.27681703400942,
0.03300015164953574,
2.905576028200642,
-0.0747657468147398
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 8 |
d1df537b8f7eacc6f0ca14b18760c116 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [443, 441], "expectation_value": -8.012818319661983, "params": [0.0034000000000000002, 0.6291, 0.7817000000000001, 0.0455, 0.9621000000000001, 0.1694, 0.0054, 0.4431, 0.8525, 0.0066, 0.8079000000000001, 0.025, 0.7805000000000001, 0.0018000000000000002, -0.0027, 0.6826, -0.3483, 0.0085, -0.4419, -0.0011, 0.00... | 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... | 18 | 10 | 4 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000000010", "1000000001", "1001000101", "1001000110"], "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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"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 |
ae60e04f0d34271b888338f9a5eb66c6 | 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": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"sour... | {"states": [387, 419], "expectation_value": -3.4304696483386214, "params": [[[0.9064000000000001, 0.0027], [0.9038, -0.0011], [0.0051, 0.4413], [0.8501000000000001, -0.0029000000000000002], [0.19110000000000002, -0.3423], [-0.0036000000000000003, -0.458], [0.7097, 0.040600000000000004], [0.9051, 0.0025], [0.909, -0.003... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + -1.5 * Z(5) + 0.0 * Z(0) + 0.0 * Z(1) + -1.0 * Z(3) + -1.0 * Z(2) + -0.5 * Z(6) + -1.0 * Z(7) + -0.5... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["001111000", "001011100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(0.8295977438431685) q[0];
ry(2.88805682375222) q[0];
rz(-1.8255549278376675) q[0];
rz(-0.5340593175110291) q[1];
ry(2.9885943078710797) q[1];
rz(2.263181189458452) q[1];
rz(-1.0270468368082906) q[2];
ry(0.020187636727206502) q[2];
rz(0.9866650343250276) q[2];
rz(0.22... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIZIIIZI",
"IIIZIZIII",
"IIIIIZZII",
"IIZIIZIII",
"IIZIIIZII",
"IZIZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIIIZII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIZIIII",
"ZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
0,
-1,
-1,
-0.5,
-1,
-0.5,
0
] | 0.97125 | [
1.541189189927774,
-0.17231079205640903,
1.6525440430614,
-0.13155973679347618,
-0.083863509392512,
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-0.07829620681685817,
0.5086851127261904,
-0.12626892468758077,
-0.07759490726119973,... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 27 |
5f59fc9d0aa0f9e4890b3d6228f2f57a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [255, 1], "expectation_value": -1.390544419140786, "params": [[0.068, 0.0528], [-0.07780000000000001, -0.054200000000000005]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.004279423891573067, 0.0044507198646842935], "optimization_time": 4.35990571975708} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -1.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + 1.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.0, "smallest_bitstrings": ["111111110", "100100000", "100000000"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2462752697496531) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.2462752697496531) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.35388535482375255) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.41276690756430007) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIIZII",
"IIIIIZZII",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"... | [
-0.25,
-0.25,
-1,
-0.5,
-1,
-1.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
1.25,
-0.5,
-1,
-1.5,
-0.5,
-0.75,
-0.25,
1.5,
0.25,
1.5,
-1,
-1.5,
0.25,
0
] | 0.776167 | [
-0.2462752697496531,
-0.35388535482375255,
-0.41276690756430007,
-0.6183566573464874,
-0.07214066222350154,
0.47519789926439976,
0.13175713518536475,
0.22217454919528176,
-0.1557189413081829,
-1.218648318362565,
-0.2330726446145422,
-0.7055132065487658,
-0.5163901090060677,
-1.215075278938... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 409 |
-659816657991352392 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 4, 5], [1, 2], [4, 5, 7], [1, 6, 7], [2, 6], [8, 2, 4], [0, 1, 3], [1, 4, 7], [2, 3, 7], [8, 1, 4], [3, 4, 6]]} | {"states": [167, 175], "expectation_value": -2.4002511406822404, "params": [0.6605000000000001, 0.6552, 1.4875, 1.4912, 0.27890000000000004, 0.2795, 1.495, 1.489, 0.7244, 0.7223, 0.862, 0.8339000000000001, 1.4981, 1.4903000000000002, 1.4869, 1.4858, 1.4939, 1.4931, 0.0106, 0.0083, 0.3549, 0.0033, 0.3786, 0.0059, -0.605... | 0.5 * (Z(8) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.16666666666... | 13 | 9 | 1 | {"smallest_eigenvalues": [-3.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0000000000000013, "smallest_bitstrings": ["101010000"], "largest_eigenvalue": 9.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.25213642588077634) q[0];
rz(-0.029633508641095173) q[0];
ry(1.345031111520584) q[1];
ry(0.055324065990676435) q[2];
ry(1.2253576987256014) q[3];
ry(-0.013629171602507224) q[4];
ry(1.674265746701888) q[5];
ry(1.4545691937827976) q[6];
ry(1.1099271853652675) q[7];
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": []} | [
"ZIIIZIIII",
"IIIZZIIII",
"ZIIZIIIII",
"IIIIZIIZI",
"ZIIIIIIZI",
"IIIIZIZII",
"ZIIIIIZII",
"IIIIIIZZI",
"IZIIZIIII",
"IZIZIIIII",
"IZIIIIIZI",
"IZIIIIZII",
"IIZIZIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IZZIIIIII",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIIZIII",
"... | [
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
... | 0.971103 | [
-0.25213642588077634,
1.345031111520584,
0.055324065990676435,
1.2253576987256014,
-0.013629171602507224,
1.674265746701888,
1.4545691937827976,
1.1099271853652675,
1.342382464909365,
-0.059267017282190346,
0.12600338354914797,
-0.039512600634171946,
0.5161999471119328,
0.30243196740255285... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -3.3333333333333335,
"target_ratio": 0.97,
"target_value": -3.2333333333333334
} | 17 |
eb2f0326c68ffb3a68d289624bdc371c | 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": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 8}, {"sour... | {"states": [394, 458], "expectation_value": -2.9571104203305305, "params": [0.2999, 0.2982, 0.3034, 0.30310000000000004, 0.29550000000000004, 0.2969, 0.1446, 0.1514, 0.039, 0.038900000000000004, 0.2989, 0.3078, 0.0449, 0.05, 0.3055, 0.2983, 0.0439, 0.0451, 0.3009, 0.2962, 0.2984, 0.2989, 0.3034, 0.2985, 0.1515, 0.1481,... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(6) + -0.5 * Z(3) + 0.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(8) + 0.0 * Z(5) + 0.0 * Z(7) | 13 | 9 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["010010101", "000110101", "100110001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.3151265699414149) q[0];
rz(0.04031711764936386) q[0];
ry(0.6167406147035518) q[1];
ry(0.2601500984155246) q[2];
ry(0.10862039208215254) q[3];
ry(0.005584967163951682) q[4];
ry(0.43494633365957364) q[5];
ry(0.1536869311093825) q[6];
ry(0.6660475873600336) q[7];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IIIIIZIZI",
"IIIIZIZII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIIIZII",
"ZIIIIIIII",
"IIIZIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-0.5,
0,
-0.5,
-1,
0,
0
] | 0.971098 | [
0.3151265699414149,
0.6167406147035518,
0.2601500984155246,
0.10862039208215254,
0.005584967163951682,
0.43494633365957364,
0.1536869311093825,
0.6660475873600336,
0.12449416964598356,
0.08063423529872772,
0.38804383211251126,
0.37688805047018914,
-0.047758757420308516,
0.08679612078131314... | {
"n_parameters": 100,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 13 |
e187371d430b945e0e1d69926f02e89f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 4, "source": 2, "target": 5}, {"capacity": 4, "source": 4, "target": 1}, {"capaci... | {"states": [4607, 6655], "expectation_value": -58.00685170818043, "params": [-0.0047, 0.6646000000000001, -0.004200000000000001, 0.6315000000000001, 0.5356000000000001, 0.011300000000000001, 0.4879, -0.0012000000000000001, -0.0016, -0.443, -0.0034000000000000002, 0.6364000000000001, 0.7886000000000001, 0.024, 0.6415000... | -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(7)) + -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(3)) + 2.0 * (Z(9) @ Z(8)) + -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5... | 16 | 15 | 4 | {"smallest_eigenvalues": [-59.83333333333215], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.83333333333132, "smallest_bitstrings": ["110011000000000"], "largest_eigenvalue": 153.16666666666777} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(-0.12846654868711385) q[0];
rz(0.14685153751655733) q[0];
rx(0.07075102675611293) q[1];
rz(0.8668088802488729) q[1];
cx q[1], q[0];
rz(0.46804895589914874) q[0];
cx q[1], q[0];
rx(-0.12846654868711388) q[0];
rz(-0.15832510316320736) q[0];
rz(0.05214212492330192) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIIZII",
"IIIIIIIIIIIZZII",
"IIIIIIIZIIIZIII",
"IIIIIIZIIIIIZII",
"IIIIIIZZIIIIIII",
"IIIIIIZIIIIZIII",
"IIIIIZIIIIIIZII",
"IIIIIZIZIIIIIII",
"IIIIIZIIIIIZIII",
"IIIIIZZIIIIIIII",
"IIIIIIIIIIZIIIZ",
"IIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIZ",
"IIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZ",
"... | [
-0.5,
1,
-1,
-1,
2,
-2,
-0.5,
1,
-1,
2,
-0.5,
1,
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0.5,
-0.5,
1,
-1,
0.6666666666666667,
-2,
-1,
0.5,
1,
0.5,
1,
2,
1,
2,
0.5,
1,
0.5,
0.5,
1,
1,
2,
1,
1,
2,
1,
1.5,
3,
1.5,
1.5,
3,
1.5,
3,
-0.5,
7,
-1,
14,
7,
0.5,... | 0.971406 | [
-0.12846654868711382,
0.6149004934157067,
0.07075102675611293,
0.8668088802488729,
1.0620761926639546,
0.07475898552088385,
-1.166640594281076,
0.11603444742160975,
0.15658895274400933,
1.022334621228668,
0.815482292845408,
1.629876098291157,
-0.030601744312807353,
1.0103907102293828,
0.... | {
"n_parameters": 74,
"n_qubits": 15,
"optimal_eigenvalue": -59.83333333333215,
"target_ratio": 0.97,
"target_value": -58.03833333333218
} | 6 |
4b4df5d05df608c0366af92253893227 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [1, 255], "expectation_value": -0.24011686278464006, "params": [[-0.057800000000000004], [0.058600000000000006]], "bitstrings": ["111111110", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0024557231987464624, 0.002459288080033285], "optimization_time": 2.986452579498291} | -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)... | 1 | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"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",
"... | [
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1.25,
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-0.5,
-0.25,
-0.25,
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-0.75,
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-1,
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-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 |
238da0afcff22b3cc95b712a7ad70447 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [9, 28], "expectation_value": -0.2128639517745433, "params": [[0.0656], [-0.0699]], "bitstrings": ["110110", "100011"], "total_optimization_steps": 10, "probabilities": [0.0170937161186386, 0.017399494930617126], "optimization_time": 1.1886398792266846} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15400852379458427) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.15400852379458427) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.15400852379458427) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.15400852379458427) q[0];
cx q[3], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"ZIZIII",
"ZZIIII",
"IZIIZI",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1.5,
-1.5,
-0.5
] | 0.699923 | [
0.15400852379458427,
-0.16652351332765766,
0.9539397028763626,
1.06600767204121,
-0.6690269654905423,
0.34760366534217846,
-0.3361262054812998,
1.1832235155449329,
-0.26439160478237117,
-0.374497929541955
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 323 |
a887d91f9606dc8ffadccd46fa1ed57b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capaci... | {"states": [48, 17], "expectation_value": -8.89110653955197, "params": null, "bitstrings": ["001111", "101110"], "total_optimization_steps": 28, "probabilities": [0.09024375903515425, 0.8025197132661654], "optimization_time": 17.335984706878662} | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 3.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + -2.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.5 * Z(5) + 1.0 * Z(1) + -0.75 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["101110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-2.7026747242885296) q[0];
ry(0.04369070613606717) q[0];
rz(-2.3989077382019692) q[0];
rz(1.2390313594475595) q[1];
ry(2.7029776244779247) q[1];
rz(-1.8931095271762974) q[1];
rz(1.2296356242845414) q[2];
ry(0.07252810464454057) q[2];
rz(-0.8196100966248716) q[2];
rz(... | 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(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"ZIIIZI",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
-1.5,
-1.25,
3,
-1,
-0.5,
-0.5,
-0.75,
-2,
-0.25,
0.5,
1.5,
1,
-0.75
] | 0.983616 | [
-0.10851937358898682,
0.4487744318096143,
1.03540924260132,
-0.08402551519855138,
0.11521988296733376,
0.42557088328310494,
-0.050850343758797184,
0.2581494561174059,
-0.14082975527251856,
0.5348791684932794,
0.6541134772230921,
-0.015841090960918423,
0.10336452295257065,
0.568926069772383... | {
"n_parameters": 34,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 11 |
5b11de0229a9c94da08a226628629146 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"sour... | {"states": [268, 308], "expectation_value": -6.036261922501733, "params": [1.5704, 1.566, 0.0016, 0.0018000000000000002, -0.0028, -0.0026000000000000003, 0.9303, 0.7594000000000001, -0.4843, 0.0071, 1.5678, 1.5687, 1.578, 1.5595, -0.5064000000000001, 0.511, 0.0206, -0.0235, 0.12710000000000002, 0.1905, 0.00340000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) ... | 14 | 9 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["011001011"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.6975776055876721) q[0];
rz(pi/2) q[0];
ry(0.0607679513779747) q[1];
ry(0.040001600657614586) q[2];
ry(1.3990927502839232) q[3];
ry(-0.37328058455057844) q[4];
ry(1.5033130147142737) q[5];
ry(1.4906306000711464) q[6];
ry(-0.523534521273516) q[7];
ry(0.05831809125222... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIZII",
"IIZIIIZII",
"IZIIIIZII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
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,
-1,
-2,
-1.5,
-1,
-1.5,
-1.5,
-0.5
] | 0.972339 | [
1.6975776055876721,
0.0607679513779747,
0.040001600657614586,
1.3990927502839232,
-0.37328058455057844,
1.5033130147142737,
1.4906306000711464,
-0.523534521273516,
0.05831809125222343,
0.11721726350222396,
-0.142967201691113,
-0.03956567845391515,
0.05138602444812089,
-3.2160007521195038,
... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 8 |
71367829fb7ce1f5a160f3ba04793161 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 3}, {"capac... | {"states": [1022, 507], "expectation_value": -5.442183177757206, "params": [[-0.16720000000000002], [0.1656]], "bitstrings": ["0000000001", "1000000100"], "total_optimization_steps": 20, "probabilities": [0.005423660567108454, 0.006788879058765586], "optimization_time": 3.809486150741577} | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(8) @ Z(3)) + -1.0 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(4) @ Z(3)) + -0.75 * (Z(4) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["1000000100"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.1020176651565532) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.14943741203803373) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[7];
rz(-0.1327626495448805) q[7];
cx q[0], q[7];
cx q[7], q[1];
rz(-0.1327... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIZIIIIIIZ",
"IIIIIIZIZI",
"IIZIIIIIZI",
"IIIZIIIIZI",
"IZIIIIZIII",
"IZZIIIIIII",
"IZIIIIIIZI",
"IZIZIIIIII",
"IIIIIIZZII",
"IIZIIIIZII",
"IIIZIIIZII",
"IIIIIZZIII",
"IZIIIZIIII",
"IIIIIZIZII",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIIZIIII",
"IIZIZIIIII"... | [
-1,
-0.75,
-1.5,
-0.75,
-0.25,
-1.25,
-1,
-0.75,
-0.5,
-0.5,
-1.25,
-0.25,
-0.5,
-0.75,
-0.75,
-1,
2,
-0.75,
-0.75,
-1,
-0.25,
-1.25,
-0.75,
-0.5,
-0.75,
-0.25,
-4.25,
2.25,
0.25,
-2,
1.25,
1.25,
-1,
3.25
] | 0.675694 | [
-0.1020176651565532,
-0.1327626495448805,
0.14943741203803373,
0.014803881867126306,
0.006769824456970853,
0.022583971141477147,
-1.5816271634079384,
1.7888157282648482,
-1.5704591678470958,
-1.5665949136895747,
-1.8570319580148242,
-1.6009813568914788,
-1.5818008743364445,
1.3150781108928... | {
"n_parameters": 14,
"n_qubits": 10,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 444 |
5668cc0f2ff388f621c56d0e233584d7 | 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": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 6, "source": ... | {"states": [0, 256], "expectation_value": -29.901132043646143, "params": [-0.3561, 0.0023, -0.044700000000000004, -0.0011, 0.0041, 0.3023, -0.0013000000000000002, 0.3023, 0.0033, 0.3033, -0.0002, 0.3131, 0.39990000000000003, 0.002, 0.4035, 0.0015, -0.0022, 0.3028, 0.005200000000000001, 0.3094, -0.0033, 0.2918, 0.0067, ... | -1.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(5)) + -0.25 * (Z(11) @ Z(4)) + -0.5 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(5)) + -1.0 * (Z(11) @ Z(9)) + 4.5 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(11)) + -1.5 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(9)) + -0.25 * (Z(7... | 6 | 12 | 2 | {"smallest_eigenvalues": [-36.0, -36.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -31.0, "smallest_bitstrings": ["111011111101", "111011111111"], "largest_eigenvalue": 32.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.37387460677529877) q[0];
rz(1.5365469176479927) q[0];
rx(-0.012744811830432549) q[1];
rz(1.9287194335197793) q[1];
rx(-0.10944492514517133) q[2];
rz(1.8240680005474061) q[2];
rx(0.7749206249600734) q[3];
rz(1.5252621295720044) q[3];
rx(-0.21367281944568914) 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] 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 fl... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIIZZIIII",
"IIIIIIZIIIIZ",
"IIZIIIIIIIIZ",
"IIZIIIZIIIII",
"ZIIIIIIZIIII",
"ZIIIIIIIIIIZ",
"ZIIIIIZIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIZIIZ",
"ZIIIIIIIZIII",
"IIIIIIIZIIZI",
"IIZIIIIIIIZI",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"IIZIZIIIIIII",
"ZIIIZIIIIIII",
"IIIIZIIII... | [
-1.5,
-0.5,
-0.75,
-1.5,
-1,
-0.25,
-0.5,
-0.25,
-1,
4.5,
-0.25,
-1.5,
-1.25,
-0.25,
-0.25,
-1,
-1,
-2.25,
-1.5,
-2.25,
-1.25,
-0.5,
-0.5,
-0.75,
-1,
-0.5,
-1.25,
-1,
0.75,
-0.25,
-1,
3.25,
1.25,
3.75,
-3.75,
-1,
-1.25,
-0.25,
-2.5,
1
] | 0.972014 | [
-0.37387460677529877,
-0.03424940914690347,
-0.01274481183043255,
0.35792310672488264,
-0.10944492514517135,
0.25327167375251053,
0.7749206249600733,
-0.04553419722289189,
-0.21367281944568914,
0.24707651639495812,
0.03154758964530974,
0.5566532279650157,
0.027427723856014424,
0.4193738348... | {
"n_parameters": 103,
"n_qubits": 12,
"optimal_eigenvalue": -36,
"target_ratio": 0.97,
"target_value": -34.92
} | 20 |
-4448313108001385495 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [0, 2, 3, 4, 5], [2, 5, 7], [1, 5, 7], [3, 6, 7], [0, 1, 2], [1, 4], [0, 2, 3, 4, 7]]} | {"states": [143, 113], "expectation_value": -0.04370603458000841, "params": [[-0.0534], [0.061200000000000004]], "bitstrings": ["01110000", "10001110"], "total_optimization_steps": 10, "probabilities": [0.00412684466368792, 0.004133530197315483], "optimization_time": 2.7709736824035645} | 0.5 * (Z(2) @ Z(6)) + 0.26666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.1 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(0)) + 0.1 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.1 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.166... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.533333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4000000000000004, "smallest_bitstrings": ["10001110"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[2];
rz(-1.5357322138863658) q[2];
cx q[6], q[2];
cx q[2], q[0];
rz(-0.023154742336404174) q[0];
cx q[2], q[0];
cx q[6], q[3];
rz(-0.013831009892790265) q[3];
cx q[6], q[3];
cx q[2], q[3];
rz(0.0020026430... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} | [
"IZIIIZII",
"IIIIIZIZ",
"IZIIZIII",
"IIIIZZII",
"IIIIZIIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"IIZZIIII",
"ZZIIIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIZZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIZIIIZI",
"ZIIIIIZ... | [
0.5,
0.26666666666666666,
0.16666666666666666,
0.1,
0.1,
0.1,
0.1,
0.1,
0.21666666666666667,
0.05,
0.05,
0.05,
0.16666666666666666,
0.21666666666666667,
0.05,
0.21666666666666667,
0.05,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
... | 0.741682 | [
-1.5357322138863658,
-0.023154742336404174,
-0.013831009892790265,
0.002002643002527491,
-0.09206349616061922,
0.02059959768059282,
-0.4605080498398993,
0.01612401832683437,
-1.5301376856856244,
0.5090219430324394,
-0.7457256667215661,
-1.032820208804232,
0.8965325998158942
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -2.533333333333333,
"target_ratio": 0.97,
"target_value": -2.457333333333333
} | 293 |
2fde01ebb7d3cd1daf98d95b5f19909d | matching | vqe | {"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": 13, "source": 0, "target": 5}, {"weight": 16, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 3}, {... | {"states": [126, 118], "expectation_value": -58.180288148910876, "params": [0.38020000000000004, 0.31470000000000004, 0.9931000000000001, -0.0001, 0.9932000000000001, -0.0023, 0.9921000000000001, 0.1308, 0.4933, 0.2752, 0.9966, -0.0078000000000000005, 0.9958, -0.0872, 0.4852, -0.24350000000000002, 0.3805, 0.31670000000... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 20.0 * Z(1) ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.07427298662465327) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.07427298662465327) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.07427298662465327) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.07427298662465327) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
20,
5,
14.5,
17,
9,
11,
10.5,
4.5
] | 0.970934 | [
0.07427298662465327,
-1.4746527526723987,
0.5195060594398412,
-0.9525594040303011,
-1.4597959388112045,
0.3211671694017895,
-1.6745883128150552,
-0.9711864288713873,
0.6027278372357929,
0.2385736843446129,
-0.03375219622682421,
-0.3875539840557747,
0.9499103781916123,
-0.5066415936816603,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -70.5,
"target_ratio": 0.97,
"target_value": -68.385
} | 45 |
0615486ccb356b09654d7a8dd1e9f354 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -0.3260063705201559, "params": [[0.0154, 0.056900000000000006], [-0.009600000000000001, -0.043300000000000005]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.009684584098661818, 0.0098575052611026], "optimization_time": 4.4928667545318... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1111110", "1111100"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.007324372560228134) q[0];
rz(-0.3217446099573232) q[0];
rx(-0.32112615429581043) q[1];
rz(0.2552145491671141) q[1];
rx(0.05797674138136179) q[2];
rz(-0.45678662559611716) q[2];
rx(0.05797674138136179) q[3];
rz(-0.1372770562752476) q[3];
rx(-0.17000396403266071) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIIZZI",
"IIZIZII",
"IIIZIZI",
"IIZZIII",
"IIIZZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-0.75,
-1,
-0.75,
-0.75,
-0.25,
-1.5,
-0.75,
-1.25,
-0.25,
1.75,
-0.5,
-0.75,
-0.25,
-0.25,
0.5,
-0.75,
-1,
1,
0.75
] | 0.97204 | [
-0.007324372560228134,
-0.3217446099573232,
-0.32112615429581043,
0.2552145491671141,
0.05797674138136179,
-0.45678662559611716,
-0.1372770562752476,
-0.17000396403266071,
1.27681703400942,
0.03300015164953574,
2.905576028200642,
-0.0747657468147398
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 8 |
b2a86e79e509d0d76748a475959a4d60 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "target": 3}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [125, 109], "expectation_value": -59.122346923384455, "params": [0.2479, 0.3546, 0.8973000000000001, 0.0001, 0.8962, 0.0568, 0.4801, 0.19920000000000002, 0.9024000000000001, 0.0028, 0.8999, 0.1222, 0.46480000000000005, 0.2732, 0.8905000000000001, 0.0952, 0.24810000000000001, 0.3392, 0.9007000000000001, 0.000... | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(2) +... | 18 | 8 | 3 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 145.0} | 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(0.10531842151091338) q[0];
cx q[3], q[0];
rz(0.4891930059834122) q[0];
rx(-0.0661317683158416) q[0];
cx q[3], q[1];
rz(0.10531842151091338) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(0.10531842151091338) q[2];
cx q[1], 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[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
9.5,
0.5,
18.5,
5.5,
22,
15,
4.5,
13.5
] | 0.981939 | [
0.10531842151091338,
-0.9612079782757411,
0.4891930059834108,
-0.3889941233568148,
0.09888614070956181,
-0.06613176831584158,
-0.15982742550497311,
-0.9131467726130178,
-0.7744447103826919,
0.963045529704064,
-0.42018965464630975,
0.1277451781058455,
0.12286825244091745,
-0.142262780034014... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
7bc4dde9a09d0b94c5097b219891d81a | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [89, 90], "expectation_value": -0.16135609453041544, "params": [0.25170000000000003, 0.0649, 0.1948, 0.095, 0.4035, -0.009000000000000001, 0.4033, -0.0061, 0.4027, 0.0034000000000000002, 0.39980000000000004, -0.0009000000000000001, 0.4048, -0.0045000000000000005, 0.40340000000000004, -0.0049, 0.4039000000000... | 0.25 * (Z(0) @ Z(1)) + -0.001953125 * (Z(2) @ Z(0)) + -0.001953125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00078125 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + 0.00078125 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00078125 * (Z(6) @ Z(0)) + -0.00078125 * (Z(6) @ Z(2)) + -0.0015625 *... | 6 | 8 | 2 | {"smallest_eigenvalues": [-1.0070312500000003, -1.0070312500000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0070312499999998, "smallest_bitstrings": ["10101010", "10100101"], "largest_eigenvalue": 1.0132812499999997} | 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[... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
0.25,
-0.001953125,
-0.001953125,
0.25,
0.00078125,
-0.00078125,
0.00078125,
-0.00078125,
0.25,
0.00078125,
-0.00078125,
-0.0015625,
0.00078125,
-0.00078125,
-0.0015625,
0.25,
-0.0003906249999999778,
-0.0003906249999999778,
-0.003515625000000022,
-0.003515625000000022,
-0.001... | 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 |
9c42d64a7466ccf874275fc8844c2c25 | 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": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [7, 106], "expectation_value": -1.1284812272440616, "params": [[0.0763, 0.07200000000000001, 0.068], [-0.083, -0.0728, -0.0609]], "bitstrings": ["1111000", "0010101"], "total_optimization_steps": 10, "probabilities": [0.01450928315976881, 0.015894595325993636], "optimization_time": 3.8659820556640625} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -2.0 * Z(2) + -0.5 * Z(1) + -1.0 * Z(6) + -1.0 * Z(3) + 0.0 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0010101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-9.07577882516075e-09) q[0];
cx q[4], q[0];
rz(1.570796363493768) q[0];
rx(-1.5707963622037864) q[0];
cx q[4], q[2];
rz(-9.07577882516075e-09) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(-9.07577882516075e-09) q[1];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IIZIZII",
"IIIIZZI",
"ZIIIZII",
"ZIIIIZI",
"IIZZIII",
"IIIZZII",
"ZIIZIII",
"IZIIZII",
"IIZIIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-2,
-0.5,
-1,
-1,
0
] | 0.8 | [
-9.07577882516075e-9,
-1.5707962474353703,
1.5707963634937685,
-1.5707962955026136,
1.5707962811770297,
-1.5707963622037862
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 159 |
08ced21e9f416e8feafb347a1a58a965 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4},... | {"states": [1455, 2047], "expectation_value": -12.303163432922757, "params": null, "bitstrings": ["01001010000", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.09238971651051694, 0.2844197058133411], "optimization_time": 299.4600496292114} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -3.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(3)) + -2.0 *... | 1 | 11 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(0.7195641456974728) q[0];
h q[1];
h q[2];
ry(0.7195641456974728) q[2];
h q[3];
h q[4];
ry(0.7195641456974728) q[4];
cx q[3], q[4];
ry(-0.7195641456974728) q[4];
cx q[3], q[4];
cx q[4], q[2];
ry(-0.7195641456974728) q[2];
cx q[4], q[2];
ry(0.6802561569549026)... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... | [
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIIZIIIZII",
"IIIIZIIIIZI",
"IIIIZIZIIII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"ZIIZIIIIIII",
"ZIZIIIIIIII",
"IIZZIIIIIII",
"ZZIIIIIII... | [
-1.5,
0.5,
-3,
0.5,
-2.5,
0.5,
0.5,
-3,
1,
-2,
0.5,
0.5,
-3,
1,
-2,
-2.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5
] | 0.901262 | [
1.4391282913949457,
1.3605123139098052,
0.7034184197805553,
-0.08256962684676107,
-0.009848481800917915,
0.02274299165125132,
-0.13013160614920635,
1.69364394474401,
-0.022012043901208322,
0.06694450271130313,
-0.0071531395393085034,
2.6780769247055805,
-0.03505493534994073,
-0.16021003834... | {
"n_parameters": 80,
"n_qubits": 11,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 500 |
2e423764229d08a5a3928f9705b0d85f | 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": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [3299, 3315], "expectation_value": -4.503119137097269, "params": [[[1.5674000000000001, 0.0027], [1.5699, -0.0028], [0.0023, 1.2763], [0.0149, -1.0581], [1.5658, 0.0018000000000000002], [1.5736, 0.0029000000000000002], [1.5696, -0.0018000000000000002], [0.7896000000000001, 0.018000000000000002], [0.002400000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(0) @ Z(2) @ Z(1)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4... | 1 | 12 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["001001011000", "001100001100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rz(2.1774452828216084) q[0];
ry(2.963758965632235) q[0];
rz(-1.0334534400995703) q[0];
rz(-0.77804360645509) q[1];
ry(3.0013260182626893) q[1];
rz(2.4833427043151852) q[1];
rz(-2.4640152833819355) q[2];
ry(0.13595862232236006) q[2];
rz(0.7031081401158721) q[2];
rz(1.05... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIIIZZIIZ",
"IIIIIIZIZIIZ",
"IIIIIZIIZIIZ",
"IIIIIIZZI... | [
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,
0.0625,
-0.0625,
0.5,
0.125... | 0.981721 | [
1.0104277758953224,
0.05612643024396481,
1.080332119285516,
-0.058157847886468106,
-0.12249175419145764,
-0.9432693256687394,
0.11343627997730751,
-0.45945901503384917,
1.0548103590495246,
-0.057830777621598745,
1.1947565974410974,
-0.0866319912860683,
0.9099019992249974,
0.804355000651069... | {
"n_parameters": 60,
"n_qubits": 12,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 9 |
0880db631f670f7f3ca0bd5d242b72c4 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [65, 3], "expectation_value": -29.525977838854857, "params": null, "bitstrings": ["0111110", "1111100"], "total_optimization_steps": 64, "probabilities": [0.0971611053113901, 0.7455589992314589], "optimization_time": 78.51063394546509} | 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)) + 2.75 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + ... | 15 | 7 | 3 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.5872911573188792) q[0];
rz(-pi) q[0];
ry(-0.26726735204165186) q[1];
rz(-pi) q[1];
ry(-0.32025952141824876) q[2];
rz(-pi) q[2];
ry(-0.6224629696099127) q[3];
rz(-pi) q[3];
ry(-0.35181623562306424) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.7161138757931876) q... | null | {"k": 5} | {"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(5.3058) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
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,
2.75,
3,
3,
3,
3,
-10.5,
-10.25,
-10.25,
-10,
-10,
-9.5,
-9.5
] | 0.970185 | [
5.251233437186073,
-0.2673912936828298,
-0.7760115953540541,
-0.3650841035981909,
-1.3429305731484023,
-1.4322277515863753,
-1.1664985071735865,
1.1175018014905993,
-0.9490504200451876,
-0.543154209519463,
0.8403138767734598,
-0.42645370075633826,
-0.3266029877858881,
0.24790096395313949,
... | {
"n_parameters": 47,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 1 |
4968717363326137033 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 5], [5, 6], [3, 5], [3, 4], [2, 3], [1, 2], [4, 5], [2, 4], [1, 6], [1, 4], [1, 5], [0, 4], [1, 3]]} | {"states": [38, 89], "expectation_value": -0.103493504193848, "params": [[-0.056400000000000006], [0.0726]], "bitstrings": ["1011001", "0100110"], "total_optimization_steps": 10, "probabilities": [0.008462291845045596, 0.008462291845045596], "optimization_time": 1.8946764469146729} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.5, "smallest_bitstrings": ["1110010", "0001101", "0010111", "0010110", "0100110", "0110010", "1001101", "1011001", "1101001", "1101000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.36926330988659484) q[0];
h q[1];
h q[2];
ry(-0.10491235247956324) q[2];
cx q[1], q[2];
ry(0.10491235247956324) q[2];
cx q[1], q[2];
ry(-0.19933318739370803) q[2];
ry(-0.2123209764159295) q[1];
h q[3];
cx q[3], q[2];
ry(0.19933318739370803) q[2];
cx q[3], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(x0) q[6];
cx q[5], q[6];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[5], q[4];
... | null | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZZIIIII",
"IZIZIII",
"IZZIIII",
"IIZIIIZ",
"IIZZIII",
"IIIZZII",
"IIZIZII",
"IZIIIZI",
"ZIIIIZI",
"IIIZIZI",
"IIZIIZI",
"IIIIZZI",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IIIIZII",
"IIIIIZI"
] | [
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
] | 0.972381 | [
-0.20982470495912647,
1.6595474146112128,
-0.11940156995628093,
0.8729271576677341,
-0.9561784789764679,
-0.39866637478741607,
1.4824315820891447,
-0.424641952831859,
0.7695468179349146,
0.3111316876041719,
0.06577153370969628,
-0.4346321337480652,
-0.516454447744826,
-0.5858497704273442,
... | {
"n_parameters": 41,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 33 |
6db46fc059c6f81124803e34100362dc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, ... | {"states": [3500, 3502], "expectation_value": -3.1162166651998375, "params": [[[-0.0044, -0.0021000000000000003], [1.0504, -0.0028], [-0.0017000000000000001, 0.0029000000000000002], [1.0865, -0.003], [0.9217000000000001, 0.006], [-0.0199, 0.0051], [1.1727, -0.1305], [-0.1505, -0.1631], [0.43710000000000004, 0.878200000... | 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(... | 15 | 12 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -2.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.019655499024159567) q[0];
ry(1.1595601537978772) q[1];
ry(0.1209884063694592) q[2];
ry(0.9930175535327839) q[3];
ry(0.6397931256732187) q[4];
ry(-0.0935398170551616) q[5];
ry(1.4532418073516866) q[6];
ry(-0.1362218393794751) q[7];
ry(0.3213617940651091) q[8];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIZZZIIII",
"IIIIIIIZIIIZ",
"IIIIZIIIIIIZ",
"IIIZIIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.... | 0.970301 | [
-0.019655499024159567,
1.1595601537978772,
0.1209884063694592,
0.9930175535327839,
0.6397931256732187,
-0.0935398170551616,
1.4532418073516866,
-0.1362218393794751,
0.3213617940651091,
0.5842795606830228,
-0.05426368705056557,
0.10284527672019492,
-0.019030390019444916,
0.10074151076462524... | {
"n_parameters": 70,
"n_qubits": 12,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 42 |
47007465d812e52d6cf0f90e500474b2 | 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": 2}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 3, "source": 0, ... | {"states": [85, 1], "expectation_value": -6.86619139730251, "params": [[0.069, 0.0565, 0.0505, 0.047], [-0.07050000000000001, -0.050300000000000004, -0.056100000000000004, -0.059500000000000004]], "bitstrings": ["10101010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.02417733093790702, 0.0241830982... | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + 3.25 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -2.25 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(6)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * (Z(4) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.010418842956713317) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.010418842956713317) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.07852291536953825) q[5];
cx q[0], q[5];
h q[6];
cx q[2], q[6];
rz(-0.0113075483... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIZIIZII",
"IIZIIIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IZZIIIII",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IZIIIIZI",
"IIZIZIII",
"IIIIZIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZIIZI",
"IIIZZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZII... | [
-1.25,
-1.25,
-0.75,
-2.25,
-1,
-0.25,
3.25,
-1,
-2.25,
-1,
-0.75,
-0.5,
-0.5,
-0.75,
-1.25,
-0.5,
-3.75,
-0.25,
0.25,
-0.75,
3.25,
3.5,
0.75,
-3
] | 0.957503 | [
0.010418842956713317,
-0.07852291536953825,
-0.01130754837804566,
-0.03448098766537879,
-0.8881560218664669,
0.5896927126042808,
-0.0009249845132533887,
-0.4907420804812563,
-1.3642238354960774,
-0.5076491354743884,
-0.48993940491905774,
-0.4934794165189021,
-1.6765669492456872,
0.02830463... | {
"n_parameters": 26,
"n_qubits": 8,
"optimal_eigenvalue": -25,
"target_ratio": 0.97,
"target_value": -24.25
} | 500 |
72d22a031a961fdad95b8a559cf9f779 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [175, 173], "expectation_value": -59.45113177262161, "params": [-0.0019, 0.9143, 1.2986, 0.18580000000000002, 0.7841, 0.3866, 1.3036, 0.2454, 0.47640000000000005, 0.5317000000000001, 1.3003, 0.0007, 1.2986, 0.1613, 0.8422000000000001, 0.3684, 1.2925, 0.1821, -0.0019, 0.0013000000000000002, 1.3041, 0.0071, 0.... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(6) @ Z(8)) + 5.5 * Z(1) + -4.5 * Z(0) + 7.5 * Z(2) + 18.5 * Z(3) + 2.... | 18 | 9 | 2 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["101010010"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.015718415418834328) q[0];
rz(0.9484135730210088) q[0];
rx(1.7410601477509284) q[1];
rz(0.5006220459229869) q[1];
rx(0.04971561203195498) q[2];
rz(0.29730255426989427) q[2];
rx(1.6540224929056653) q[3];
rz(0.40291745354043484) q[3];
rx(0.023003989759631027) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIZIIIZII",
"IIZIIZIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIZIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
-4.5,
7.5,
18.5,
2,
14.5,
8,
7,
21
] | 0.970457 | [
-0.015718415418834328,
1.0353366352263194,
1.7410601477509284,
0.5006220459229869,
0.04971561203195498,
0.29730255426989427,
1.6540224929056653,
0.40291745354043484,
0.023003989759631027,
-0.08718948583995033,
1.5451497721746925,
-0.10266442032044507,
0.26391511632680964,
0.052678084708844... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -86.5,
"target_ratio": 0.97,
"target_value": -83.905
} | 21 |
4cd28f9bc761b26f6d6f15aeccbaedea | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 20, "source": 0, "target": 3}, {... | {"states": [63, 121], "expectation_value": -30.30665998169914, "params": null, "bitstrings": ["11000000", "10000110"], "total_optimization_steps": 100, "probabilities": [0.0767581592572071, 0.16623903505297943], "optimization_time": 160.26924562454224} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 18.0 * Z(1) + 12.5 * Z(0) + 17.5 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000110"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.00016732716707271525) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.00016732716707271525) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.00016732716707271525) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.00016732716707271525) q[3];
c... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.5995) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIIZI",
"IZIIIZII",
"IZIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
18,
12.5,
17.5,
17,
8.5,
0,
8.5,
11
] | 0.920635 | [
0.00016732716707271525,
-0.5924455788903747,
1.1202157596152196,
-2.1299919140966863,
-0.921283751470345,
-0.9259638537657344,
0.656788748097326,
0.05566707846777746,
-0.2350099582362983,
-0.00025338828965832576,
-0.7056870444167618,
0.6002165622279372,
0.40321396654204583,
-0.860670749125... | {
"n_parameters": 33,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 500 |
e2466d0e59f9ae9b15e99011693e125f | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [853, 855], "expectation_value": -3.003039677530921, "params": [[[1.354, 0.0001], [0.5246000000000001, -0.0046], [1.1622000000000001, 0.0023], [0.19090000000000001, 0.0031000000000000003], [0.521, 0.020900000000000002], [0.3655, 0.0374], [0.1348, 0.0863], [-0.4491, 0.7065], [0.1568, 2.0484], [0.0725000000000... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 15 | 11 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -2.625, "smallest_bitstrings": ["11000000110", "10001010100", "11000010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-pi) q[1];
ry(-0.01566938174441882) q[1];
h q[2];
h q[3];
ry(-1.382312814660902) q[3];
h q[4];
ry(-0.32749804696590257) q[4];
cx q[2], q[4];
ry(0.32749804696590257) q[4];
cx q[2], q[4];
ry(1.126452676106575) q[2];
ry(-0.8310830393541792) q[4];
ry(-0.626764594... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIIZZZI",
"IIIIIIZIZZI",
"IIIIIIZZIZI",
"IIIIIIZZZII",
"IIIIIIZZZZI",
"IIIIIZIIIZI",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"IIIIZZIIIZI",
"IIIIIZIIZII",
"IIIZIIIIZII",
"IIZIIIIIZII",
"IIIZIZIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
... | 0.972185 | [
-1.382312814660902,
-1.6193805840722992,
-1.290575397728871,
-0.6549960939318051,
1.126452676106575,
-0.6967689800025078,
0.5341433193132382,
0.24374272147914156,
-0.26862811870334274,
-0.2199899576074521,
0.693087330399002,
2.0516911249923644,
-0.4184533366192725,
-0.1657277228626028,
0... | {
"n_parameters": 23,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
e2a1dd8d1e083192a6b4cbfd3d9c358e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [68, 76], "expectation_value": -3.126366627737356, "params": [[1.5730000000000002, -0.013600000000000001, -0.0024000000000000002, 0.0308, 1.3475000000000001, -0.0376, -0.0024000000000000002], [1.5813000000000001, -0.0016, -0.0024000000000000002, 1.6509, 1.6927, 1.4842, -0.0024000000000000002]], "bitstrings":... | 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... | 10 | 7 | 1 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["0111001", "0110011"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(2.561127667182971) q[0];
ry(3.0195808714253123) q[0];
rz(-0.4520108398180862) q[0];
rz(1.7445075787898734) q[1];
ry(0.11574428247104591) q[1];
rz(-1.3436041184858614) q[1];
rz(-2.2531635464792834) q[2];
ry(0.037223626689449285) q[2];
rz(-2.7063584668997773) q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIIZZII",
"IIZIZII",
"IIZZIII",
"IIIZZIZ",
"IIZIZIZ",
"IIZZIIZ",
"IIZZZII",
"IIZZZIZ",
"IZIZIII",
"ZZIIIII",
"IIZIIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
-0.125,
-0.5,
-0.625,
-0.125,
-0.125,
-0.5,
-1
] | 0.974239 | [
1.4488290548844476,
-0.015782899398086414,
-0.15977208976832585,
0.41519064662032595,
-0.23497257928300502,
0.8055126599094278,
1.2553479660937912,
0.13199639482680087,
0.8906888029167648,
0.015318618946984969,
-0.17372367290419877,
-0.25290279496706136,
-0.11046954972514925,
-0.2301598033... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 18 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | 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": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [437, 252], "expectation_value": -3.1496689355888234, "params": null, "bitstrings": ["001001010", "100000011"], "total_optimization_steps": 66, "probabilities": [0.07857011393965474, 0.6311201347026915], "optimization_time": 172.36807894706726} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["100000011", "001001010"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) q[4... | 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(-1.5158) 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];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIIZ",
"IIIZIZIIZ",
"IIIZZIIIZ",
"IIIZZZIII",
"IIIZZZIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.... | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
e61b9b6cad8366f7e670366fe202a3e7 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {... | {"states": [95, 122], "expectation_value": -38.68801423989735, "params": null, "bitstrings": ["10100000", "10000101"], "total_optimization_steps": 100, "probabilities": [0.08084364950683393, 0.15591172189812116], "optimization_time": 178.34245347976685} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 17.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 153.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-2.1064438042783817) q[0];
h q[1];
ry(3.00933532207482) q[1];
h q[2];
ry(63.914512083600656) q[2];
rz(-pi) q[3];
ry(-2.0138186233070408) q[3];
cx q[2], q[3];
ry(31.631902076085566) q[3];
cx q[2], q[3];
ry(-31.392809348396653) q[3];
cx q[1], q[3];
ry(31.... | null | {"matching": "maximum", "extra": "{\"n\": 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(34.778) 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[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
10,
14,
22,
12.5,
8.5,
12,
1
] | 0.972485 | [
34.330472433163216,
3.00933532207482,
62.27727198687937,
63.914512083600656,
-63.26380415217113,
17.13394339312842,
-62.78561869679331,
6.4092125346744835,
8.995405679010444,
-25.18439210953081,
-12.211734701172722,
-1.494483191794119,
30.42716060399111,
-16.64234087916521,
10.1661517222... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 67 |
-622633446643427899 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 3, 4, 5, 6, 7, 8], [0, 1, 2, 3, 4, 5, 7, 8, 11], [1, 3, 5, 7, 10, 11], [0, 1, 2, 3, 4, 6, 7, 9, 10, 11], [0, 1, 7, 8, 9], [10, 11, 5, 6]]} | {"states": [2030, 1966], "expectation_value": -1.0959997636439378, "params": [[[0.6900000000000001, -1.0153, 0.0025, 0.0009000000000000001], [0.6017, -1.0152, 0.1744, 0.004200000000000001], [1.5686, -0.0023, 1.5699, 0.0028], [0.3774, 0.5625, -0.2306, 0.0081], [1.568, 0.001, 1.5727, 0.0094], [1.0613000000000001, 0.0964,... | 0.04285714285714286 * (Z(1) @ Z(4)) + 0.04285714285714286 * (Z(5) @ Z(4)) + 0.07619047619047618 * (Z(5) @ Z(1)) + 0.04285714285714286 * (Z(6) @ Z(4)) + 0.04285714285714286 * (Z(6) @ Z(1)) + 0.04285714285714286 * (Z(6) @ Z(5)) + 0.031746031746031744 * (Z(7) @ Z(4)) + 0.06507936507936507 * (Z(7) @ Z(1)) + 0.0650793650793... | 11 | 12 | 1 | {"smallest_eigenvalues": [-1.1619047619047622, -1.1619047619047622, -1.1619047619047622, -1.1619047619047622], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.1619047619047618, "smallest_bitstrings": ["000101000011", "100001010001", "010100100000", "101001000010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.594096641894232) q[0];
rz(-0.9411841051329567) q[0];
ry(0.617433046333999) q[1];
rz(-0.9985255571251286) q[1];
cx q[1], q[0];
ry(0.130940243188784) q[1];
rz(0.03516330007374012) q[1];
ry(1.4882108545405845) q[2];
rz(0.020794239022887823) q[2];
ry(0.161186092029339... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIIZIIZI",
"IIIIIIZZIIII",
"IIIIIIZIIIZI",
"IIIIIZIZIIII",
"IIIIIZIIIIZI",
"IIIIIZZIIIII",
"IIIIZIIZIIII",
"IIIIZIIIIIZI",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIZIIII",
"IIIZIIIIIIZI",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIZIIIIZIIII",
"IIZIIIIIIIZI",
"IIZIIIZII... | [
0.04285714285714286,
0.04285714285714286,
0.07619047619047618,
0.04285714285714286,
0.04285714285714286,
0.04285714285714286,
0.031746031746031744,
0.06507936507936507,
0.06507936507936507,
0.031746031746031744,
0.02896825396825397,
0.02896825396825397,
0.02896825396825397,
0.0289682539682... | 0.97063 | [
0.594096641894232,
-0.9411841051329567,
0.617433046333999,
-0.9985255571251286,
1.4882108545405845,
0.020794239022887823,
0.16118609202933973,
0.300626148796142,
1.5788634258504215,
-0.022375231715328348,
1.3777451109471806,
0.16847630221533644,
1.519749049754596,
0.0008202927990687003,
... | {
"n_parameters": 41,
"n_qubits": 12,
"optimal_eigenvalue": -1.1619047619047622,
"target_ratio": 0.97,
"target_value": -1.1270476190476193
} | 8 |
8d84cdffc41e32c16af107cc91057474 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [252, 244], "expectation_value": -65.48201288085181, "params": [0.7659, 0.3841, 1.401, 0.064, 1.3923, 0.1681, 1.3949, -0.014400000000000001, 1.3963, 0.2051, 0.7969, 0.3735, 1.3916000000000002, 0.2858, -0.011600000000000001, 0.7213, 0.0026000000000000003, 1.0185, 0.7684000000000001, 0.0088, 1.403, 0.0099, 1.3... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(4) @ Z(0)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(4) @ Z(6)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(7) @ Z(6)) + 9.5 * Z(0) + 7.0 * Z(2) + 13.5 * Z(1) + 14.0 * Z(3) + 21... | 18 | 9 | 2 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 177.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.04426268902934622) q[0];
rz(0.18957982676662422) q[0];
rx(1.464853857863025) q[1];
rz(-0.0667800854577836) q[1];
rx(1.3307450637740592) q[2];
rz(-0.10185704061995829) q[2];
rx(1.4916140752199476) q[3];
rz(0.041925140447134454) q[3];
rx(1.6263580075861468) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIZIIZIII",
"IIIIZIIIZ",
"IIIIZZIII",
"IIZIZIIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZZIIIII",
"IIIZZIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIZIIIIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
9.5,
7,
13.5,
14,
21.5,
19,
14,
-1.5,
-8
] | 0.972231 | [
0.044262689029346214,
0.6902387975965216,
1.464853857863025,
-0.0667800854577836,
1.3307450637740592,
-0.10185704061995829,
1.4916140752199476,
0.041925140447134454,
1.6263580075861468,
0.28794044184935336,
0.3787565142245414,
0.48456739308098995,
1.6401463790493207,
0.26277725181565664,
... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -85,
"target_ratio": 0.97,
"target_value": -82.45
} | 12 |
7027bf4700e2cca2b06c9dc2f8c2504b | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "... | {"states": [1023, 4095], "expectation_value": -17.212045155837885, "params": null, "bitstrings": ["110000000000", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.10434695914507848, 0.362579125757906], "optimization_time": 239.42703866958618} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(8)) + -2.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8)) + -2.0 * (Z(11) @ Z(10)) + -1.0 * Z(1) + 1.0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-23.5, -23.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -22.5, "smallest_bitstrings": ["110000000000", "000000000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.554669733551445) q[0];
ry(0.0075115377980286635) q[1];
ry(0.1753457293963669) q[2];
ry(0.02561321315375832) q[3];
ry(0.22718359311175726) q[4];
ry(0.0005738683243216199) q[5];
ry(-0.05615625184267954) q[6];
ry(-0.044328683944934014) q[7];
ry(0.01111568643994024) ... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5706) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measu... | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIIZIZII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIZZIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIZIII",
"IIIIIIIIIZII",
"IIIIIIIZI... | [
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-2,
-2,
-2,
-2,
-2,
-2,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.974779 | [
-0.554669733551445,
0.0075115377980286635,
0.1753457293963669,
0.02561321315375832,
0.22718359311175726,
0.0005738683243216199,
-0.05615625184267954,
-0.044328683944934014,
0.01111568643994024,
-0.043709632284047284,
-0.204818870514481,
2.942594658391509,
0.1711752066048693,
-0.02060842908... | {
"n_parameters": 21,
"n_qubits": 12,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 82 |
9c2f02be2c499f1518832ddbbd315206 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [112, 97], "expectation_value": -0.11104275612717147, "params": [[-0.0534], [0.0574]], "bitstrings": ["0001111", "0011110"], "total_optimization_steps": 10, "probabilities": [0.008344583514757918, 0.00834458351475792], "optimization_time": 1.1977152824401855} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011110", "1001101", "1011100", "0101011", "1111000", "0111010", "0001111", "1101001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-2.901167588346981) q[0];
rz(-0.2105070273682461) q[0];
rx(0.20971789230352275) q[1];
rz(0.657866821689816) q[1];
rx(0.062455288276377335) q[2];
rz(-1.11430263207646) q[2];
rx(0.21409063416784044) q[3];
rz(-0.03728581354816862) q[3];
rx(3.071209421739293) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[5];
rz(x0) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"IIIZIZI",
"IIZIIZI",
"IIIZZII",
"ZIIZIII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-0.5,
-0.5,
0,
-0.5,
-0.5
] | 0.971256 | [
3.3820177188326053,
-0.07486301144683405,
0.20971789230352275,
0.2140906341678404,
0.062455288276377335,
-0.6255287633609229,
0.35834076480290283,
3.071209421739293,
-0.04907887639235431,
-0.1210173864240168,
-0.8796050668496838,
3.524195307406011,
-0.9175017165581438,
-0.06560165821150515... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 23 |
e155e613d0da5ad0217dc455cb8fa9ba | 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": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [33, 35], "expectation_value": -4.115614232733302, "params": [0.1559, 0.1125, 0.1542, 0.1124, 0.0039000000000000003, 0.2, 0.0045000000000000005, 0.2182, 0.4035, 0.0011, 0.39880000000000004, 0.0081, 0.0009000000000000001, 0.2427, -0.0005, 0.2401, 0.221, 0.031900000000000005, 0.21930000000000002, 0.0497, 0.003... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.5 * Z(5) + 0.0 * Z(7) + -... | 7 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -4.0, "smallest_bitstrings": ["11100110", "01010111", "01011101", "10011110", "00011111", "11111000", "11101010", "11011100", "11010110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.0077617301832706735) q[0];
rz(0.04004869309754566) q[0];
rx(-0.03366902628522611) q[1];
rz(0.023499162467866083) q[1];
cx q[1], q[0];
rz(0.0938111014330111) q[0];
cx q[1], q[0];
rz(1.4812618766626668) q[0];
ry(0.10147564620643011) q[0];
rz(-1.3154083259401763) q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x11;
in... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIZIIIZI",
"IIZZIIII",
"IIIZIIZI",
"IZIIZIII",
"IZIIIIZI",
"IZIZIIII",
"IIIIZZII",
"IIZIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
0,
-1.5,
-1,
-1,
-0.5
] | 0.972149 | [
0.007761730183270674,
0.13385979453055694,
-0.03366902628522611,
0.023499162467866083,
0.5167845395543375,
0.03175725026015179,
0.10796405913898958,
0.2609924403724215,
-0.07704650569494981,
-0.07971851768503692,
-0.094184706427066,
0.11669139836439073,
0.3327242521985623,
0.03825661769082... | {
"n_parameters": 109,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
117ccc69c95ca00a828c543c24e6991b | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 8}, {"source": 2, "target": 4}, {"sour... | {"states": [26, 282], "expectation_value": -4.164946606576395, "params": [0.317, 0.32370000000000004, -0.017400000000000002, -0.021500000000000002, 0.0054, -0.0014, -0.0058000000000000005, -0.007500000000000001, 0.4038, 0.39790000000000003, 0.3884, 0.38720000000000004, 0.1865, 0.185, 0.405, 0.3981, 0.0005, -0.0038, 0.3... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + -0.5 * Z(6) + 0.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(1) + -1.0 * Z(5) + -1.5 * Z(... | 13 | 9 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.0, "smallest_bitstrings": ["001101101", "111100001", "011000111", "111000011", "101101001", "011100101", "000111101"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.3613738217329594) q[0];
rz(0.05647903626657148) q[0];
ry(-0.0006868864051813584) q[1];
ry(-0.0981197300578231) q[2];
ry(0.0843687329142262) q[3];
ry(0.6109354492890771) q[4];
ry(0.5282043600126998) q[5];
ry(0.20465062316008395) q[6];
ry(0.5744598758061529) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input floa... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"ZIIIIIIZI",
"ZIIZIIIII",
"IIZIIIZII",
"IIIZIIZII",
"ZIIIIIZII",
"ZIIIZIIII",
"IIIIZIZII",
"IZIIIZIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IZIIIIIII"
] | [
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,
-0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
0
] | 0.976228 | [
0.3613738217329594,
-0.0006868864051813584,
-0.0981197300578231,
0.0843687329142262,
0.6109354492890771,
0.5282043600126998,
0.20465062316008395,
0.5744598758061529,
0.07798771488561251,
0.11295807253314297,
0.1141450452479345,
-0.13866997724056812,
-0.25644595087939714,
-0.003869665136038... | {
"n_parameters": 101,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 6 |
d3afc618b7dbe8b32f310fdf84749e1a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [21, 25], "expectation_value": -0.5445914228408164, "params": [[0.0604, 0.035500000000000004, 0.0123, 0.0053], [-0.0693, -0.0454, -0.0298, -0.024900000000000002]], "bitstrings": ["1101010", "1100110"], "total_optimization_steps": 10, "probabilities": [0.010514462943423918, 0.010514462943423918], "optimizatio... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(4) + 0.0 * Z(2) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101010", "0100111", "1100110", "0101011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10744767680386966) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.10744767680386966) q[5];
cx q[0], q[5];
h q[6];
cx q[1], q[6];
rz(0.10744767680386966) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[3];
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": []} | [
"IIIIIZZ",
"IZIIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"IIIZIZI",
"IIZIIZI",
"IIZZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-0.5,
-0.5,
0
] | 0.932809 | [
0.10744767680386966,
-1.4767901991027308,
-0.833143966371636,
-0.01219406791514734,
0.6976046154172691,
-1.491648375221724,
0.7470776778598038,
-1.7324742201717185,
-1.1304502361409419,
-1.3608082420526102,
-0.3865911164064282,
0.6593258092663152,
2.894466573482227,
-1.5283276206684517,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 500 |
3a47978bfb976fd6248810daacdb4903 | max_flow | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [562, 596], "expectation_value": -1.3104413410289628, "params": [[-0.0726, -0.0804], [0.0629, 0.0721]], "bitstrings": ["0111001101", "0110101011"], "total_optimization_steps": 10, "probabilities": [0.0016022660475868355, 0.0016022660475868355], "optimization_time": 6.097171783447266} | -0.5 * (Z(9) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + -0.... | 1 | 10 | 2 | {"smallest_eigenvalues": [-6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.0, "smallest_bitstrings": ["0110101011", "0110000000", "0110101101", "0110010001", "0111001011", "0111001101"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.6566433803157805) q[0];
rz(-0.5635484037530434) q[0];
rx(-0.08458123676006576) q[1];
rz(1.1774379964221435) q[1];
rx(0.05460809018472292) q[2];
rz(-0.2485327778063438) q[2];
rx(2.1111802145115894) q[3];
rz(0.24582046501630292) q[3];
rx(0.23032023843005026) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIIZIII",
"IIIIIZZIII",
"ZIIIIZIIII",
"IIIIZIZIII",
"ZIIIZIIIII",
"IIIIZZIIII",
"IIZIIIZIII",
"IIZIIZIIII",
"ZIIZIIIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIIIIIIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIIIIZZI",
"IIIIIIZIII"... | [
-0.5,
1,
-0.5,
0.5,
-1,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
-0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
-0.16666666666666666,
1,
-2,
1,
2,
0.5,
0.5,
0.5,
0.8333333333333334,
-0.3333333333333333,
-0.3333333333333333
] | 0.972111 | [
1.6566433803157805,
-0.19670393659137253,
-0.08458123676006576,
1.1774379964221435,
0.05460809018472292,
-0.2485327778063438,
2.1111802145115894,
0.24582046501630292,
0.23032023843005026,
0.31345605388271675,
1.0081605341475985,
-0.16074160645590554,
0.020028144123884657,
0.288359995550519... | {
"n_parameters": 51,
"n_qubits": 10,
"optimal_eigenvalue": -6.666666666666666,
"target_ratio": 0.97,
"target_value": -6.466666666666666
} | 34 |
9e8a866d2c0011b6946d4c64e758f31c | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [21, 28], "expectation_value": -3.999900324820463, "params": null, "bitstrings": ["101010", "100011"], "total_optimization_steps": 26, "probabilities": [1.7187519564476356e-05, 0.999950071649245], "optimization_time": 21.277812719345093} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0097347073373075) q[0];
rz(-0.14101462084387117) q[0];
rx(-0.38750982357956676) q[1];
rz(-0.3057211553890907) q[1];
cx q[1], q[0];
rz(0.13275230381341913) q[0];
cx q[1], q[0];
rx(1.3782189303544248) q[0];
rz(-0.29267031617775396) q[0];
rz(-0.09789635874452761) q[1]... | null | 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",
"IIIZIZ",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-1,
-1,
0
] | 0.971229 | [
1.0097347073373075,
-0.008262317030451896,
-0.38750982357956676,
-0.3057211553890907,
1.2302795857067115,
-0.013592108438004277,
1.1428987618315947,
0.21610326377545203,
-0.0945257361764085,
0.05751696828617267,
1.1584777199858318,
-0.024575436526478617,
1.269911032440262,
0.08978829929159... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 20 |
5a12fc3b9ebd59a3b68795f0bd90935e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [18, 50], "expectation_value": -3.2667410400404853, "params": [0.6051000000000001, 0.0038, 0.6, 0.0146, 0.1718, 0.405, -0.0126, 0.3015, 0.6054, 0.112, -0.0154, 0.3713, 0.6009, -0.0012000000000000001, 0.6013000000000001, 0.026600000000000002, 0.1696, 0.4309, -0.0131, 0.3085, 0.6034, 0.1456, -0.019, 0.3683, 0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) | 3 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.1435948285215511e-07) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(1.1435948285215511e-07) q[1];
cx q[2], q[1];
rz(-0.5698699266786225) q[2];
rx(0.6578008209073697) q[2];
h q[3];
cx q[0], q[3];
rz(1.1435948285215511e-07) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"IZZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
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,
-1,
-0.5
] | 0.777778 | [
1.1435948285215511e-7,
-0.5698699266786227,
0.8976760148695336,
0.858764150438184,
0.6578008209073697,
-2.2179312215672304e-7,
-0.7323750322594127,
-0.1837825357866761,
-0.09561625248230032,
0.3664649548078836,
2.7031261787381847e-7,
-0.4507353837506744,
1.1904463292135272,
1.1313235119654... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 397 |
ab957251534d09507f870c3a6ef42154 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [20, 23], "expectation_value": -3.9999340839148516, "params": null, "bitstrings": ["101011", "101000"], "total_optimization_steps": 25, "probabilities": [1.383436257146194e-05, 0.9999481823871552], "optimization_time": 17.44970941543579} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + 0.0 * Z(5) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["101000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.8371932544002377) q[0];
rz(0.20858065204347453) q[0];
ry(-0.45655694041749045) q[1];
ry(0.4641984393163029) q[2];
ry(-0.19028136922153194) q[3];
ry(1.019406464640929) q[4];
ry(-0.07467794364198581) q[5];
ry(0.1078744572788903) q[6];
ry(0.5781622452340566) q[7];
ry... | 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(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIIZ",
"ZIIIIZ",
"IIIZZI",
"IZIZII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
0,
-1,
0
] | 0.97248 | [
0.8371932544002377,
-0.45655694041749045,
0.4641984393163029,
-0.19028136922153194,
1.019406464640929,
-0.07467794364198581,
0.1078744572788903,
0.5781622452340566,
-0.09758270765337963,
0.42316099187094136,
-0.019552344140408177,
0.5019802359551023,
0.41716130408694907,
-0.391375460764549... | {
"n_parameters": 94,
"n_qubits": 12,
"optimal_eigenvalue": -1.5131944444444438,
"target_ratio": 0.97,
"target_value": -1.4677986111111105
} | 23 |
57e4a42254a59ee532f799c4c74dbbc5 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [33, 1], "expectation_value": -0.6091305682883584, "params": [[-0.0451], [0.0551]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005107387552695429, 0.005154147491770214], "optimization_time": 1.9747252464294434} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -2.75 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 0.0 * Z(5) + 2.5 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.75, -17.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["11111110", "11011110"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.005854303607264674) q[0];
rz(0.3960597459368831) q[0];
rx(-0.013489921067996584) q[1];
rz(0.8659527247617227) q[1];
rx(0.693863413275396) q[2];
rz(-0.07052575540604744) q[2];
rx(0.07980093795002999) q[3];
rz(0.23434034951631544) q[3];
rx(-0.05568818637921519) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"ZIIIIIIZ",
"IIZIIZII",
"IIIZZIII",
"IZIIIIZI",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
-1.5,
-1.5,
-0.5,
-0.25,
2.5,
-0.5,
-2.75,
-1.5,
-1.25,
-0.25,
-3.25,
-0.25,
0.5,
0,
2.5,
0.5,
-0.5,
0.5
] | 0.977064 | [
-0.005854303607264674,
0.5558932394584737,
-0.013489921067996583,
0.6906493351292241,
0.6938634132753959,
0.052719814559119754,
0.07980093795002999,
0.4969877308788506,
-0.05568818637921519,
0.7924222696935164,
0.07016453342192276,
0.8263182994596178,
0.18091812245774114,
-0.56424050298015... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 8 |
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