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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
b37a187c731adb427065940c6b9da462 | 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": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target":... | {"states": [0, 256], "expectation_value": -12.344223477562094, "params": [0.0028, 0.08660000000000001, 0.00030000000000000003, 0.1115, 0.001, 0.1646, 0.006, 0.1607, 0.20750000000000002, -0.0019, 0.2033, 0.0005, 0.0001, 0.1643, 0.0009000000000000001, 0.1658, 0.0043, 0.1547, 0.0081, 0.1291, 0.0046, 0.08850000000000001, 0... | -0.75 * (Z(0) @ Z(7)) + -0.25 * (Z(10) @ Z(0)) + -0.25 * (Z(1) @ Z(10)) + 1.25 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(7)) + -1.0 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(10)) + -0.75 * (Z(5) @ Z(10)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * ... | 7 | 11 | 4 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 12.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.19002788079945918) q[0];
rz(-0.0015934389096496915) q[0];
rx(-0.15119111947634767) q[1];
rz(0.14977802280520672) q[1];
cx q[1], q[0];
rz(0.1993389060134004) q[0];
cx q[1], q[0];
rz(-1.6465678436609588) q[0];
ry(0.36388552249318046) q[0];
rz(1.9786779218184254) q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIZ",
"ZIIIIIIIIIZ",
"ZIIIIIIIIZI",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIZIIIZIII",
"IIZZIIIIIII",
"IIZIIIIZIII",
"IIIZIIZIIII",
"ZIIIIIZIIII",
"ZIIIIZIIIII",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIZIIZIIIII",
"IIIIZIIZIII",
"IIZIZIIIIII",
"IIIIZIZIIII",
"IZIZIIIIIII",
"IZIIIIIII... | [
-0.75,
-0.25,
-0.25,
1.25,
-0.25,
-0.75,
-1,
-1,
-0.75,
-0.75,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.75,
-0.5,
-0.25,
0,
-0.5,
1,
-1.5,
-0.5,
-0.25,
1.75,
0,
0.75
] | 0.973113 | [
0.1900278807994592,
0.1977454671037508,
-0.15119111947634767,
0.14977802280520672,
0.27608461744544815,
-0.11922934596683335,
-0.348563748929671,
0.3397387971776475,
0.1245925342316713,
0.1558516031957175,
0.011264104832804548,
0.4716590191863621,
0.10496231471404718,
0.1431983474010194,
... | {
"n_parameters": 170,
"n_qubits": 11,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 13 |
0b5f0e96c66f1fe8afca6f37edd06ab2 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [73, 22], "expectation_value": -0.5474677338024472, "params": [[-0.0328, -0.0247, -0.06430000000000001], [0.0357, 0.0066, 0.053000000000000005]], "bitstrings": ["0110110", "1101001"], "total_optimization_steps": 10, "probabilities": [0.009419447297402355, 0.00982859183577268], "optimization_time": 8.54368829... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1101001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1500635382209095e-08) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(1.1500635382209095e-08) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(1.1500635382209095e-08) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(1.1500635382209095e-08)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"ZIIIIZI",
"ZZIIIII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
-1,
-1.5,
-1,
0
] | 0.818182 | [
1.1500635382209095e-8,
-1.5707963292766471,
1.570796321214452,
1.5707962870051804,
-1.5707962808666522,
1.5707962941657407
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 171 |
5fb7d8d9ff75f939abcd806fd5ddfb77 | 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": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [28, 31], "expectation_value": -6.57398557738559, "params": [[[0.0018000000000000002, 1.697], [-0.0028, -0.0029000000000000002], [-0.002, -0.0022], [-0.0019, 0.0018000000000000002], [-0.0024000000000000002, 1.4822]]], "bitstrings": ["00011", "00000"], "total_optimization_steps": 170, "probabilities": [0.2565... | -2.0 * (Z(1) @ Z(0)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + 1.0 * Z(0) + -1.5 * Z(1) + 1.0 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) | 15 | 5 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["00000"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(0.7271854011955323) q[0];
h q[1];
h q[2];
ry(0.7271854011955323) q[2];
cx q[1], q[2];
ry(-0.7271854011955323) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.7271854011955323) q[0];
cx q[2], q[0];
ry(0.2660463563487423) q[1];
cx q[0], q[1];
ry(-0.2660463563487423) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[5] c;
qubit[5] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x3) q[3];
ry(x4) q[4];
cx q[4], q[0];
... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"IIZZI",
"ZZIII",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII",
"IZIII"
] | [
-2,
-1.5,
-2,
-1,
1,
-1.5,
1,
0.5,
0.5
] | 0.970709 | [
1.4543708023910646,
0.5320927126974846,
0.6689654446825201,
2.5295075337818456,
3.1647654971573203,
-1.2984094867828495,
0.7950964642752983,
1.318471255961886,
0.0578093070600795,
-0.7712875775969058,
-1.3382078591712685,
0.508467822908262,
-1.949484859227235,
-0.041784803235239976
] | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 78 |
26d7f56e59bfdf48052023802b40605b | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 1}]} | {"states": [27499, 28011], "expectation_value": -8.680786279825233, "params": null, "bitstrings": ["001010010010100", "001001010010100"], "total_optimization_steps": 100, "probabilities": [0.056904734128678136, 0.8136388648983083], "optimization_time": 547.8787496089935} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 1 | 15 | 1 | {"smallest_eigenvalues": [-8.749999999999973], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.74999999999997, "smallest_bitstrings": ["001001010010100"], "largest_eigenvalue": 26.250000000000114} | 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... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[15] c;\nqubit[15] 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];\nh q[12];\nh q[13];\nh q[14];\nry(1.5706) q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measu... | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
1.25,
1.25,
1.25,
0.75,
0.75,
0.75,
1,
1,
1,
1.25,
1.25,
1.25,
0.75... | 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 |
-4904712987042068465 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 5], [8, 2], [0, 4], [1, 3], [8, 5], [8, 9], [0, 6], [5, 7], [1, 9], [4, 5], [8, 6], [2, 7], [3, 4], [2, 6], [9, 5], [1, 7], [4, 6], [0, 7], [3, 7], [3, 5], [9, 6], [9, 3]]} | {"states": [231, 167], "expectation_value": -0.9609606847013271, "params": [0.9519000000000001, -0.2038, 0.9055000000000001, 0.0056, 0.6746, 0.24230000000000002, 0.6401, 0.0001, 0.9540000000000001, -0.1321, 0.9465, 0.0039000000000000003, 0.9400000000000001, 0.24830000000000002, 0.8648, 0.007500000000000001, 0.967000000... | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["1111011000", "0010100111", "0010100101", "0000100111", "1101011010", "1101011000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.2158561831483933) q[0];
rz(-0.6203729383083423) q[0];
rx(-0.030657872338770733) q[1];
rz(-0.09367305722307506) q[1];
rx(1.1578307140687774) q[2];
rz(0.020606148109000078) q[2];
rx(0.05864054804717579) q[3];
rz(0.6655840890467437) q[3];
rx(1.6260864138742035) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZII",
"IZIIZIIIII",
"IZIIIIIZII",
"IIIIZZIIII",
"IIIIIZIIIZ",
"IIIIZIZIII",
"IIIIIZZIII",
"IIIIIIZIZI",
"ZIIIZIIIII",
"ZZIIIIIIII",
"ZIIIIIZIII",
"ZIIIIIIIZI",
"IIIZIIIZII",
"IZIZIIIIII",
"IIIZIZIIII",
"IIIZIIIIIZ",
"ZIIZIIIIII",
"IIZIZIIIII",
"IIZIIIIZII",
"IIZIIIIIIZ"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.974575 | [
0.2158561831483933,
-0.390245744761308,
-0.030657872338770736,
-0.22346381998685988,
1.1578307140687771,
0.028368984233425806,
0.058640548047175806,
0.18313562750120993,
1.6260864138742035,
0.2512512668344844,
-0.004631999967592282,
1.3031261879048852,
0.07173414473263859,
-0.9193695958936... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 69 |
f65df388240a6bafb6d8e4e3b37bcf6e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [56, 44], "expectation_value": -3.989065530699692, "params": null, "bitstrings": ["1000111", "1010011"], "total_optimization_steps": 31, "probabilities": [0.060236547583049714, 0.8645374070419694], "optimization_time": 23.69571328163147} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(4) + -0.5 * Z(2) + -1.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1000111", "1010011", "0100111", "0110011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(2.7532081731376037) q[0];
rz(0.5021335439547281) q[0];
rx(0.3126188629060858) q[1];
rz(-0.12394458583901447) q[1];
rx(0.08258886198853632) q[2];
rz(-0.2893009783452398) q[2];
rx(2.8985650222769554) q[3];
rz(0.47722660210837153) q[3];
rx(-2.8865335383741417) q[4];
rz(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIZIZII",
"ZZIIIII",
"ZIZIIII",
"ZIIIZII",
"IZIZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
-0.5,
-0.5,
-1.5,
-0.5
] | 0.974902 | [
2.7532081731376037,
0.4768043004801116,
0.31261886290608576,
-0.13830675618383226,
0.08258886198853632,
-0.4806829037066563,
2.8985650222769554,
0.5468943038080125,
3.3966517688054445,
0.42667847019125166,
0.07043632060439067,
-0.7888121402538777,
0.07867698366803132,
0.8529985987454796,
... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 16 |
47e061061a6d0acfe5610133d54047de | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 5, "source": 1, ... | {"states": [43, 127], "expectation_value": -12.4074496868785, "params": [[0.08080000000000001, 0.0584, 0.1622], [-0.2936, -0.2571, -0.2104]], "bitstrings": ["11010100", "10000000"], "total_optimization_steps": 40, "probabilities": [0.05333140511369222, 0.054577135352971366], "optimization_time": 6.55358624458313} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.75 * (Z(1) @ Z(2)) + -1.0 * (Z(1) @ Z(5)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + 2.5 * (Z(7) @ Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.15864147887866117) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.2731377163588801) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.01953334625569982) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(-0.5119597632790122) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IIZIZIII",
"IIIIZIZI",
"IZIIIZII",
"IZZIIIII",
"IZIIIIZI",
"IZIIZIII",
"IIIZIZII",
"IIZZIIII",
"IIIZZIII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZZIIIIII",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IIIIZIII",
"IZIIIII... | [
-0.75,
-1.5,
-1.75,
-1,
-0.75,
-1,
-1,
-0.75,
-2,
-2.5,
-2.5,
-0.25,
-0.5,
2.5,
-0.25,
-1.75,
-0.75,
3,
-0.25,
-0.25,
-1.25,
-3,
2,
0,
-0.25
] | 0.914802 | [
-0.15864147887866117,
-0.01953334625569982,
-0.2731377163588801,
-0.5119597632790122,
-0.5994608352228544,
-0.4129705087363402,
-0.09770153693581518,
-0.5186988881603777,
0.36815665804652714,
0.036211604978244535,
0.03512357775472557,
-0.01314774583905088,
0.028430217821991767,
0.031774757... | {
"n_parameters": 43,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 500 |
18f51c81d01a61d58a5d6da20c55ce9d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 1023], "expectation_value": -26.067139236197193, "params": [[[0.0028, 1.6046], [0.0021000000000000003, 0.0018000000000000002], [0.0021000000000000003, 0.0021000000000000003], [0.0021000000000000003, 0.002], [0.0018000000000000002, 0.0019], [-0.0033, 0.0023], [0.0023, 0.0026000000000000003], [-0.002600000... | -2.5 * (Z(0) @ Z(3)) + -3.5 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(0)) + -3.5 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(6)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(6)) + -3.0 * (Z(5) @ Z(1)) + 1.0... | 15 | 10 | 1 | {"smallest_eigenvalues": [-28.0, -28.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -25.0, "smallest_bitstrings": ["0000000000", "1101111000"], "largest_eigenvalue": 33.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.13073336812900155) q[0];
rz(2.3125814195312717) q[0];
rx(-0.022863559920685953) q[1];
rz(2.6074573354717945) q[1];
rx(-0.6999719192594032) q[2];
rz(0.7666142932163726) q[2];
rx(-0.10078216518072208) q[3];
rz(1.1992446106943841) q[3];
rx(0.2775570395800168) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[10] c;
qubit[10... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIZIIIIZI",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIZIZIIII",
"IIIIIZIIZI",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIZZIIIII",
"IIIIZIIIZI",
"IIIIZZIIII",
"ZIZIIIIIII",
"ZIIIIIIZII",
"IIZIIIIZII",
"ZZIIIIIIII",
"IZZIIIIIII"... | [
-2.5,
-3.5,
-3,
-3.5,
1,
-3,
1,
0.5,
-3,
-2.5,
1.5,
0.5,
-3.5,
-3,
1,
-2,
0.5,
-1.5,
-1.5,
0.5,
-2.5,
1,
1.5,
1.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5
] | 0.972686 | [
0.13073336812900155,
0.7417850927363753,
-0.022863559920685953,
1.036661008676898,
-0.699971919259403,
-0.8041820335785246,
-0.10078216518072207,
-0.3715517161005127,
0.2775570395800168,
0.1652549542095049,
-0.057320429884227274,
0.5763437102242233,
-0.08716646181105751,
0.4355435746943682... | {
"n_parameters": 189,
"n_qubits": 10,
"optimal_eigenvalue": -28,
"target_ratio": 0.97,
"target_value": -27.16
} | 356 |
f4058862d2cc91e963663e2c69858d5f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [21, 100], "expectation_value": -0.9645137931173636, "params": [[0.054900000000000004, 0.0541, 0.062200000000000005, -0.068], [-0.0362, -0.0444, -0.0634, -0.0082]], "bitstrings": ["1101010", "0011011"], "total_optimization_steps": 10, "probabilities": [0.012129357657677715, 0.012622029421453242], "optimizati... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + -2.0 * Z(5) + -0.5 * Z(6) + -1.0 * Z(1) + -1.5 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1011010", "0011011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.08155479116440284) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.08155479116440284) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.08155479116440284) q[3];
cx q[2], q[3];
rz(0.6726318576019645) q[2];
rx(1.4395567190828875) q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IZIIIZI",
"IIIZZII",
"IZIZIII",
"IIIZIZI",
"IZZIIII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-2,
-0.5,
-1,
-1.5,
-0.5
] | 0.857675 | [
-0.08155479116440284,
0.6726318576019644,
1.3685732063111773,
-1.9248268523404324,
1.3279290926971614,
1.4395567190828875,
-0.8198366260050157,
1.279399435917915,
1.24312089196522,
3.1061045586653235,
1.9879305316842095,
0.3855996081973117
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 350 |
879db80c5aed6ed1e5333d23205b0505 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [511, 447], "expectation_value": -8.633838728854323, "params": [[0.08940000000000001], [-0.1709]], "bitstrings": ["11000000000", "11001000000"], "total_optimization_steps": 20, "probabilities": [0.0029768716256215284, 0.0029783677427431803], "optimization_time": 3.4731295108795166} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(5) @ Z(7)) + -3.5 * (Z(8) @ Z(7)) + -3.5 * (Z(8) @ Z(5)) + -2.5 * (Z(3) @ Z(7)) + -2.5 * (Z(3) @ Z(5)) + 1.5 * (Z(3) @ Z(8)) + -3.0 * (Z(6) @ Z(7)) + 1.5 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(8)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(9) @ Z(7)) + 0.5... | 5 | 11 | 1 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.5, "smallest_bitstrings": ["11001000000"], "largest_eigenvalue": 29.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.039621084327166) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.12208803478287218) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-1.039621084327166) q[1];
rx(-1.0380660544564098) q[1];
rz(-0.12208803478287218) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIZIZIIIII",
"IIZZIIIIIII",
"IIZIIZIIIII",
"IIIZIIIZIII",
"IIIIIZIZIII",
"IIZIIIIZIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IIZIZIIIIII",
"IIIIZIIZIII",
"IZIZIIIIIII",
"IZIIIZIIIII",
"IZZIIIIIIII",
"IZIIIIIZIII",
"IZIIZIIIIII",
"IIIZIIIIZ... | [
-1.5,
0.5,
0.5,
-2.5,
-3.5,
-3.5,
-2.5,
-2.5,
1.5,
-3,
1.5,
-3.5,
-3,
1,
0.5,
-3.5,
0.5,
-3,
0.5,
0.5,
-3,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.537028 | [
-1.039621084327166,
-0.12208803478287218,
-0.7243022484785052,
-0.5538262819147342,
-0.3714196649495363,
-0.5357948428410548,
-0.25523407297906014,
-0.7063324885137611,
-1.03806605445641
] | {
"n_parameters": 9,
"n_qubits": 11,
"optimal_eigenvalue": -36.5,
"target_ratio": 0.97,
"target_value": -35.405
} | 215 |
8754059713724812161 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 4, 5, 7, 9, 10], [0, 1, 2, 3, 5, 6, 8], [10, 3, 4, 6], [9, 11, 1, 7], [1, 3, 6, 7, 11], [1, 2, 3, 4, 7, 10, 11], [0, 4, 6, 8, 9], [0, 1, 2, 3, 4, 9, 10, 11], [1, 2, 4, 7, 8, 9], [1, 3, 4, 7, 8, 11], [3, 4, 5, 6, 8], [8, 11, 5, 7], [0, 1, 2, 3, 5, 7, 1... | {"states": [1902, 1918], "expectation_value": -3.412296761471466, "params": [0.5006, 0.7217, 0.4994, 0.0048000000000000004, 1.6326, 0.3405, 1.4992, 0.0046, 0.9700000000000001, -0.3111, 0.9737, 0.0015, 1.5423, -0.16770000000000002, 1.5724, 0.0077, 0.45520000000000005, -0.7083, 0.4562, 0.0023, 1.6263, -0.3819, 1.53490000... | 0.18333333333333332 * (Z(1) @ Z(4)) + 0.10714285714285715 * (Z(5) @ Z(4)) + 0.10476190476190475 * (Z(5) @ Z(1)) + 0.12380952380952381 * (Z(7) @ Z(4)) + 0.28095238095238095 * (Z(7) @ Z(1)) + 0.14047619047619048 * (Z(7) @ Z(5)) + 0.2357142857142857 * (Z(9) @ Z(4)) + 0.1857142857142857 * (Z(9) @ Z(1)) + 0.0571428571428571... | 7 | 12 | 1 | {"smallest_eigenvalues": [-3.9166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.876190476190476, "smallest_bitstrings": ["100010000001"], "largest_eigenvalue": 19.999999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.1875294219138074) q[0];
rz(1.2803282550864505) q[0];
rx(1.72477893378421) q[1];
rz(0.2331591970690166) q[1];
cx q[1], q[0];
rz(-0.2649278730426084) q[0];
cx q[1], q[0];
rx(0.2214784107509341) q[0];
rz(-0.1725341951077213) q[0];
rx(1.4836714406893738) q[1];
rz(-0.1... | 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": []} | [
"IIIIIIIZIIZI",
"IIIIIIZZIIII",
"IIIIIIZIIIZI",
"IIIIZIIZIIII",
"IIIIZIIIIIZI",
"IIIIZIZIIIII",
"IIZIIIIZIIII",
"IIZIIIIIIIZI",
"IIZIIIZIIIII",
"IIZIZIIIIIII",
"IZIIIIIZIIII",
"IZIIIIIIIIZI",
"IZIIIIZIIIII",
"IZIIZIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIZIIIZ",
"IIIIIIIIIIZZ",
"IIIIIIZII... | [
0.18333333333333332,
0.10714285714285715,
0.10476190476190475,
0.12380952380952381,
0.28095238095238095,
0.14047619047619048,
0.2357142857142857,
0.1857142857142857,
0.05714285714285714,
0.15,
0.2654761904761904,
0.12261904761904761,
0.05714285714285714,
0.05714285714285714,
0.1345238095... | 0.974834 | [
0.18752942191380742,
1.015400382043842,
1.72477893378421,
0.2331591970690166,
1.645967439311318,
-0.13493107568207596,
1.4745726111110555,
-0.1267271351365325,
0.08615570020670862,
-0.4646741088926911,
1.382745096787299,
-0.2737641984140954,
1.4697588903981558,
-0.3487670729371556,
1.407... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -3.9166666666666665,
"target_ratio": 0.97,
"target_value": -3.7991666666666664
} | 14 |
-4395537743540680910 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4, 7], [8, 2, 3], [1, 2, 7], [2, 6], [1, 5], [0, 3, 7], [0, 4], [4, 6], [6, 7], [3, 5, 7], [8, 0]]} | {"states": [211, 91], "expectation_value": -3.9066122092431725, "params": null, "bitstrings": ["100101100", "110100100"], "total_optimization_steps": 57, "probabilities": [0.07540081694352152, 0.8852136730680595], "optimization_time": 109.14581990242004} | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.1666666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666667, "smallest_bitstrings": ["110100100"], "largest_eigenvalue": 8.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7124358357380078) q[0];
h q[1];
ry(-0.6024471710140477) q[1];
h q[2];
ry(1.5204047208950031) q[2];
h q[3];
ry(-0.27691390495882073) q[3];
h q[4];
ry(1.4299130073863573) q[4];
cx q[4], q[0];
ry(0.7124358357380078) q[0];
cx q[4], q[0];
ry(-0.1124978597528903... | 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(1.5298) 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] = m... | [
"IIIIZIZII",
"IZIIZIIII",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIZZII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIIIZZI",
"IZIIIIIZI",
"IIZIZIIII",
"IIZIIIZII",
"IZZIIIIII",
"IZIZIIIII",
"IIIZIZIII",
"IIIZIIIZI",
"IIIIZIIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IIIIIZIIZ",
"IIIIZIIII",
"IIIIIIZII",
"... | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
... | 0.97598 | [
1.3937696245221216,
-1.336352293440021,
1.5204047208950031,
-1.2048943420280953,
1.4299130073863573,
-1.4248716714760157,
1.409353736191909,
0.8363589808601506,
-0.5897070035010203,
0.4243122886693785,
-0.14377112284658788,
-0.30830528997561313,
-0.5538278099176415,
0.04510917397947356,
... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
af362589373fbae038fde822b29f9e30 | 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": [470, 214], "expectation_value": -72.7323631736528, "params": [0.5391, 0.2682, 0.9906, -0.0013000000000000002, 0.9908, 0.1298, -0.0126, 0.6925, 0.9998, -0.07740000000000001, 0.3758, -0.3115, 0.9988, -0.014100000000000001, 0.9987, 0.2069, 0.134, 0.45120000000000005, 0.5356000000000001, 0.2361, 0.9948, -0.0110... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(7) @ Z(8)) + 10.0 * Z(0) + 14.5 * Z(2) + 20.5 * Z(1) + 8.0 * Z(4) + -... | 18 | 9 | 3 | {"smallest_eigenvalues": [-83.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 155.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.337264323992015) q[0];
rz(0.169091348242687) q[0];
rx(1.0400403915682637) q[1];
rz(-0.21348817960568048) q[1];
rx(1.0293800172413152) q[2];
rz(0.030061171644937802) q[2];
rx(0.06640049308356923) q[3];
rz(0.7642719825149762) q[3];
rx(0.9396998234200066) q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIZIIIIIZ",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
10,
14.5,
20.5,
8,
-1,
4.5,
13,
0.5,
19.5
] | 0.974062 | [
0.337264323992015,
0.4325472182373997,
1.0400403915682637,
-0.21348817960568048,
1.0293800172413152,
0.030061171644937802,
0.06640049308356923,
0.7642719825149762,
0.9396998234200066,
-0.0977201760325444,
0.10142394261106594,
-0.6065715980185579,
1.149021171854393,
0.19130181130383037,
1... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -83.5,
"target_ratio": 0.97,
"target_value": -80.995
} | 13 |
-2477337784020927221 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 0, 2], [5, 7], [8, 2, 4], [9, 2, 3], [1, 10, 2], [4, 5, 6], [10, 6]]} | {"states": [1969, 1457], "expectation_value": -2.0794827270889993, "params": [1.1732, 1.1669, 0.7766000000000001, 0.7757000000000001, 1.3816000000000002, 1.3839000000000001, 1.5749, 1.5776000000000001, 0.5688, 0.5654, 1.5809, 1.5804, 1.5857, 1.5851000000000002, 0.2233, 0.22890000000000002, -0.0059, 0.0022, 0.5561, 0.56... | 0.16666666666666666 * (Z(9) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(9)) + 0.5 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(9)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(10) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(... | 13 | 11 | 1 | {"smallest_eigenvalues": [-2.666666666666667, -2.666666666666667, -2.666666666666667, -2.666666666666667], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.6666666666666665, "smallest_bitstrings": ["01001001110", "01000001111", "00100010011", "00101010010"], "largest_eigenvalue": 6.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.754358926652533) q[0];
rz(0.12202842273528944) q[0];
ry(0.18229322002482992) q[1];
ry(1.7609855995635992) q[2];
ry(1.2370756788794437) q[3];
ry(0.1657423629105774) q[4];
ry(1.3868226251092717) q[5];
ry(1.3702801920177121) q[6];
ry(-0.04719848790834898) 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": []} | [
"IZIIIIIIIIZ",
"IIIIIIIZIIZ",
"IZIIIIIZIII",
"IIZIZIIIIII",
"IZIIIZIIIII",
"IIIIIZIZIII",
"IIIIZZIIIII",
"ZIIIIIIZIII",
"IIIIIIZZIII",
"ZIIIIIZIIII",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZI",
"IIIZZIIIIII",
"IIIZIZIIIII",
"IIIZIIIIZII",
"IIIIIIIIIIZ",
"IZIIIIIIIII",
"IIIIIIIZI... | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.166666666... | 0.970449 | [
1.754358926652533,
0.18229322002482992,
1.7609855995635992,
1.2370756788794437,
0.1657423629105774,
1.3868226251092717,
1.3702801920177121,
-0.04719848790834898,
-0.11727741789227256,
0.08005009110375776,
1.5704161578502798,
0.24405684547057888,
0.43324867229750597,
-0.600879310564117,
0... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -2.666666666666667,
"target_ratio": 0.97,
"target_value": -2.586666666666667
} | 18 |
16aed950661228e73cbfe28c55f52a27 | 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": 1, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 6}, {"weight": 17, "source": 0, "tar... | {"states": [252, 248], "expectation_value": -29.77405285027613, "params": [[-0.0227, -0.0154, 0.019200000000000002], [0.0655, 0.0731, 0.051300000000000005]], "bitstrings": ["100000011", "100000111"], "total_optimization_steps": 10, "probabilities": [0.007107046221390774, 0.009723211651904297], "optimization_time": 5.97... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["100000111"], "largest_eigenvalue": 180.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.052917474503626036) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.052917474503626036) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.052917474503626036) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.052917474503626036) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
14,
21,
20.5,
14.5,
18.5,
-2.5,
2.5,
2
] | 0.974008 | [
0.052917474503626036,
-0.833862350659093,
0.7824849905832925,
-1.2282155200911047,
-0.6040929875217558,
-0.7065169793485129,
-0.9366383353961008,
0.8866394481108202,
0.5604813707399259,
1.0965652446889536,
0.8661048964931922,
-0.04698174810610116,
-0.7761643316060929,
0.6032730800075495,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -94,
"target_ratio": 0.97,
"target_value": -91.17999999999999
} | 62 |
fd959b015d7c5b50b2cd05831ed95a60 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [42, 44], "expectation_value": -3.9998997805961802, "params": null, "bitstrings": ["010101", "010011"], "total_optimization_steps": 28, "probabilities": [1.7124002311537545e-05, 0.9999499582800139], "optimization_time": 23.663185596466064} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "010011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) q[2];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IIIZZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"IZZIII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1,
-1,
-0.5
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
1475595034188988284 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 0, 11, 7], [1, 10, 3, 4], [8, 0, 3, 7], [8, 0, 2, 1], [0, 3, 11, 6], [0, 9, 5, 1], [0, 9, 8], [9, 10, 5, 1], [8, 9, 2, 11], [0, 2, 11], [8, 3, 4, 6], [1, 2, 3], [10, 11, 6], [1, 6], [4, 6, 7]]} | {"states": [3062, 2934], "expectation_value": -3.9119250716262766, "params": [1.5723, 1.5736, 0.13440000000000002, -0.1231, 1.5752000000000002, 1.5723, 1.9356, 1.2132, 2.2705, 2.3796, 2.4877000000000002, 0.7532, 1.1369, 1.3932, 1.5713000000000001, 1.5753000000000001, 0.1779, -0.1582, 1.5725, 1.5749, 2.4268, 0.637500000... | 0.41666666666666663 * (Z(8) @ Z(0)) + 0.3333333333333333 * (Z(11) @ Z(0)) + 0.16666666666666666 * (Z(11) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(11)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(8)) + 0.166666666666... | 14 | 12 | 1 | {"smallest_eigenvalues": [-3.9999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.916666666666667, "smallest_bitstrings": ["010010001001"], "largest_eigenvalue": 14.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.534768638493243) q[0];
rz(pi/2) q[0];
ry(0.10585283042225119) q[1];
ry(1.5635873704812342) q[2];
ry(2.0609914729636816) q[3];
ry(2.227658777247005) q[4];
ry(2.475129028549257) q[5];
ry(1.0856546447825826) q[6];
ry(1.6672615107323123) q[7];
ry(0.17971088585088385) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIZIIIIIIIZ",
"ZIIIIIIIIIIZ",
"ZIIZIIIIIIII",
"IIIIZIIIIIIZ",
"IIIZZIIIIIII",
"ZIIIZIIIIIII",
"IIIIIIIIIIZZ",
"IIIZIIIIIIZI",
"ZZIIIIIIIIII",
"IZIIIIIIIIZI",
"IIIIIIIIZIIZ",
"IIIZIIIIZIII",
"ZIIIIIIIZIII",
"IIIIZIIIZIII",
"IIIIIIIIZIZI",
"IZIIIIIIZIII",
"IIIZIIIZIIII",
"IIIIZIIZI... | [
0.41666666666666663,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.0833333333333333... | 0.972677 | [
1.534768638493243,
0.10585283042225119,
1.5635873704812342,
2.0609914729636816,
2.227658777247005,
2.475129028549257,
1.0856546447825826,
1.6672615107323123,
0.17971088585088385,
1.7469004848345508,
2.517821488270159,
2.096671859130625,
-0.7292021743600511,
1.062523597837113,
-0.03447909... | {
"n_parameters": 46,
"n_qubits": 12,
"optimal_eigenvalue": -3.9999999999999996,
"target_ratio": 0.97,
"target_value": -3.8799999999999994
} | 7 |
0880db631f670f7f3ca0bd5d242b72c4 | kclique | qaoa | {"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": [18, 3], "expectation_value": -16.895383809692387, "params": [[0.0268, -0.0425, -0.0316, -0.0109], [-0.051000000000000004, 0.0396, 0.0568, 0.0655]], "bitstrings": ["1101101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.01778145800170302, 0.01880393353489316], "optimization_time": 8.701969... | 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)) + ... | 13 | 7 | 4 | {"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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
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 |
404057c7f12171487b8e4c0dec61ffa3 | 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": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -0.15433630056958103, "params": [[-0.0757], [0.07010000000000001]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.017803072102275497, 0.01809601861092934], "optimization_time": 1.194699764251709} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + -0.5 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.25 * Z(1) + 1.0 * Z(4) + -0.25 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.5811547544466071) q[0];
h q[0];
rx(1.570796540280365) q[1];
h q[1];
rx(0.8261509600795981) q[2];
h q[2];
rx(1.6265178949297225) q[3];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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], ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"ZIIIIZ",
"IIIZZI",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIZIII"
] | [
-0.25,
0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-1.25,
-0.5,
-0.25,
-0.25,
0.25,
1,
-0.25
] | 0.4375 | [
1.5811547544466071,
1.570796540280365,
0.8261509600795981,
1.6265178949297225,
1.5707964599706954,
-0.8173580564858312,
-0.6918847223325216,
1.570796435113792,
-4.734253203222546e-9,
-1.5027359744877397e-8,
1.570796448929092,
2.485463203679337
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 265 |
8371d10567e2a79675b7c54d9bc2bc4c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [0, 1011], "expectation_value": -7.0376905036322075, "params": [0.5184, 0.07970000000000001, 0.1572, 0.5521, 0.5252, 0.2651, 0.2353, 0.6255000000000001, -0.5382, 0.37160000000000004, -0.3463, 0.9303, -0.515, 0.7675000000000001, -0.26, 0.8541000000000001, -0.527, 0.9561000000000001, -0.3682, 1.033000000000000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 1.0 * Z(7) + -1.0 * Z(6) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2) | 6 | 10 | 3 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["0000000000", "0000001100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.3517812042951984) q[0];
cx q[1], q[0];
rz(-0.3462869944370093) q[0];
rx(-0.8875049246396636) q[0];
rz(-0.3462869944370093) q[1];
rx(-0.8875049246396636) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-1.144059905202581) 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII"
] | [
-1,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5
] | 0.518688 | [
-1.3517812042951984,
-1.144059905202581,
-0.3462869944370094,
-0.6968876121860424,
-0.8875049246396635
] | {
"n_parameters": 5,
"n_qubits": 10,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 157 |
6440352897ae715b0d3a7f54566e1380 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 5}, {"weight": 18, "source": 0, "target": 2}, {"weight": 7, "source": 2, "target": 3}, {"... | {"states": [115, 110], "expectation_value": -18.885887153109294, "params": [[-0.038400000000000004, -0.008700000000000001], [0.0772, 0.0699]], "bitstrings": ["10001100", "10010001"], "total_optimization_steps": 10, "probabilities": [0.01223291409186908, 0.015133716449211592], "optimization_time": 2.994236707687378} | 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(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 17.0 * Z(1) + 1.0 * Z(0) + 16.0 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.055697659287722925) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.055697659287722925) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.055697659287722925) q[2];
cx q[0], q[2];
rz(-0.4694826043279816) q[0];
rx(-0.3162701581341799) 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] 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",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17,
1,
16,
11.5,
10,
15.5,
7.5,
6
] | 0.970284 | [
-0.055697659287722925,
1.4547062001441282,
-0.46948260432798206,
1.3468945306892246,
-0.5579546998846485,
0.5519492686607871,
1.2072642378373164,
0.930898757947097,
-1.9298838529419649,
-0.3162701581341799,
0.09238996835585006,
0.3640056703940024,
-1.3794870854305046,
0.4012223804866644,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -67.5,
"target_ratio": 0.97,
"target_value": -65.475
} | 49 |
56e34af205e5dd92b84910e936583f99 | community_detection | 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": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.021113526487356683, "params": [[0.07200000000000001], [-0.07440000000000001]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 10, "probabilities": [1.660819626311571e-05, 1.6608196263115715e-05], "optimization_time": 12.562180280685... | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006875000000000002 * (Z(4) @ Z(0)) + 0.000375 * (Z(4) @ Z(2)) + -0.0006875000000000002 * (Z(5) @ Z(1)) + 0.000375 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005000000000000001 * (Z(6) @ ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0176249999999434], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0176249999999065, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.0146249999999806} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.534118864284698) q[0];
rz(0.053600456200255664) q[0];
rx(-0.066431778482566) q[1];
rz(0.10671910908302884) q[1];
rx(1.0241502585201754) q[2];
rz(-0.014573254080948672) q[2];
rx(0.002829672745504775) q[3];
rz(1.0502640070447233) q[3];
rx(2.434022032962992) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0008749999999999999,
-0.0008749999999999999,
0.25,
-0.0006875000000000002,
0.000375,
-0.0006875000000000002,
0.000375,
0.25,
-0.0005000000000000001,
-0.00075,
-0.0005000000000000001,
-0.0005000000000000001,
-0.00075,
-0.0005000000000000001,
0.25,
0.0001875,
0.0001250000000... | 0.97298 | [
1.534118864284698,
0.024115119448355163,
-0.06643177848256597,
0.08597448191784926,
1.0241502585201754,
0.01149165564798767,
0.0028296727455047743,
0.7839682344753336,
2.434022032962992,
-0.10658199403695008,
-0.1153613283313035,
-1.3000044165385516,
2.2530885455493195,
0.03274595733083363... | {
"n_parameters": 79,
"n_qubits": 16,
"optimal_eigenvalue": -2.01762499999995,
"target_ratio": 0.97,
"target_value": -1.9570962499999516
} | 165 |
5886f169ace7df840d50dc8e45cdd501 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"sourc... | {"states": [31999, 32511], "expectation_value": -9.65951792100384, "params": [0.404, -0.1998, -0.758, 0.0083, 0.7097, 0.0801, -0.8548, 0.0006000000000000001, -0.9975, 0.39640000000000003, 0.20470000000000002, 0.0077, -1.0157, 0.6163000000000001, 0.3798, 0.0077, 1.0373, 0.5781000000000001, -0.4978, 0.006900000000000001,... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * (Z(11) @ Z(12)) + -1.0 * (Z(13) @ Z(14)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9) + 0.5 * Z(12) + 0.5 * Z(11) + 0.5 * Z(14) + 0.5 * Z(13) + 0.5 * Z(3) + 0.5 * ... | 6 | 15 | 1 | {"smallest_eigenvalues": [-14.499999999999906], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.499999999999869, "smallest_bitstrings": ["000000100000000"], "largest_eigenvalue": 7.500000000000025} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(0.9774252104453718) q[0];
rz(1.276248779693093) q[0];
rx(0.7518130003046704) q[1];
rz(1.8676331825465011) q[1];
rx(-1.4459218160335525) q[2];
rz(1.8337464077227494) q[2];
rx(-1.6791007803516682) q[3];
rz(2.0656817451290586) q[3];
rx(1.7098964301186421) q[4];
rz(2.72... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": 15} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIZZIIIIIII",
"IIIIZZIIIIIIIII",
"IIZZIIIIIIIIIII",
"ZZIIIIIIIIIIIII",
"IIIIIIIIIIIZZII",
"IIIIIIIIIZZIIII",
"IIIIIIIIIIIIIZI",
"IIIIIIIIIIIIIIZ",
"IIIIIIZIIIIIIII",
"IIIIIIIZIIIIIII",
"IIIIZIIIIIIIIII",
"IIIIIZIIIIIIIII",
"IIZIIIIIIIIIIII",
"IIIZIIIIIIIIIII",
"... | [
-1,
-1,
-1,
-1,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.780062 | [
0.9774252104453718,
-0.2945475471018037,
0.7518130003046705,
0.29683685575160473,
-1.4459218160335525,
0.2629500809278535,
-1.6791007803516682,
0.49488541833416166,
1.7098964301186423,
1.149480435829073,
2.035171223342995,
1.3944414683809971,
1.5965654434308316,
0.3303234401932709,
-1.77... | {
"n_parameters": 71,
"n_qubits": 15,
"optimal_eigenvalue": -14.499999999999906,
"target_ratio": 0.97,
"target_value": -14.064999999999909
} | 300 |
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [375, 371], "expectation_value": -3.536029602219391, "params": [1.3617000000000001, -0.35750000000000004, 0.7152000000000001, -0.4413, 1.3805, -0.1532, 1.3569, -0.217, 1.3896000000000002, -0.30960000000000004, 0.7284, -0.4726, 0.7525000000000001, -0.46280000000000004, 1.3613, -0.4167, 1.3676000000000001, -0.... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
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}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
e087bb7a2ab5b6cd6822b49db98164ad | 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": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4... | {"states": [8, 11], "expectation_value": -4.670437868168962, "params": [0.003, 1.2708000000000002, 0.0007, 1.0452000000000001, -0.003, 0.7743, 0.859, -0.4454, 0.004200000000000001, 1.6734, -0.6452, 0.6517000000000001, -1.2472, 0.2207, -0.0105, 0.9301, 0.0024000000000000002, -1.0536, -0.0028, 0.4233, 0.6081, 0.120500000... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + 1.0 * Z(4) + -0.25 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + -2.0 * Z(2) + 0.25 * Z(3) + 0.... | 3 | 7 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.25, "smallest_bitstrings": ["1010000", "1000000", "1110100", "1011000", "1111100"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.684079612108113) q[0];
h q[1];
h q[2];
ry(-1.6130910725056342) q[2];
h q[3];
h q[4];
ry(0.8705312656325608) q[4];
cx q[1], q[4];
ry(-0.8705312656325608) q[4];
cx q[1], q[4];
ry(0.5638362462260424) q[1];
cx q[4], q[1];
ry(-0.5638362462260424) q[1];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"IIIZZII",
"ZIZIIII",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
-0.5,
-0.5,
-1.25,
-0.75,
-0.25,
-0.75,
-0.25,
-0.5,
1.25,
-0.75,
1,
-0.25,
0.5,
0.5,
-2,
0.25,
0
] | 0.971879 | [
-1.6130910725056342,
1.7410625312651216,
1.127672492452085,
-1.368159224216226,
1.3090628769470818,
-0.18059820948263738,
1.4980182789583685,
0.09301418289946432,
-0.5987902664515456,
0.00709990805003651,
0.28724048981292466,
0.025051227171103974,
-0.11161857880706907,
-0.10313587200409623... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 9 |
2e176b1388169c31718c374b42e0c725 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.08190430070980709, "params": [[-0.0514], [0.062]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008610944765753534, 0.008719431243326276], "optimization_time": 3.318462371826172} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 0.0 * Z(1) + -0.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.3830779787968251) q[0];
ry(-0.14730277028732375) q[1];
ry(0.2538099171114016) q[2];
ry(-0.257984861099843) q[3];
ry(-0.3976519478359509) q[4];
ry(-0.08193555877137179) q[5];
ry(2.987372434386749) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(x0) q[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIIZZI",
"IZIZIII",
"ZIIZIII",
"IIIZZII",
"IZZIIII",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
0.25,
-0.25,
-0.75,
0,
-0.25,
0.25,
0.75
] | 0.973055 | [
-0.3830779787968251,
-0.14730277028732375,
0.2538099171114016,
-0.257984861099843,
-0.3976519478359509,
-0.08193555877137179,
2.987372434386749,
-0.2506718433023688,
0.13138656850175684,
0.08791202870362592,
0.05729874253553658,
-0.066058617225672,
-0.008338066771797888,
0.0017510417082033... | {
"n_parameters": 27,
"n_qubits": 7,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 42 |
-8951172839156375118 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 6], [1, 2, 3], [0, 2, 4], [3, 4], [0, 1, 2, 5], [0, 1, 4], [4, 5], [0, 2, 3, 5], [2, 3, 6], [0, 3, 6], [2, 4, 6]]} | {"states": [117, 85], "expectation_value": -2.4209560387912137, "params": [1.4879, 0.0395, 1.3605, 0.0027, 1.139, -0.1753, 1.0450000000000002, 0.0039000000000000003, 1.4947000000000001, 0.028800000000000003, 1.4389, 0.0037, 0.6245, -0.006, 0.49060000000000004, 0.0047, 1.4935, 0.025400000000000002, 1.4457, 0.00720000000... | 0.41666666666666663 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.3333333333333333 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(6)) + 0.4166666666... | 6 | 7 | 1 | {"smallest_eigenvalues": [-2.666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.666666666666666, "smallest_bitstrings": ["0101010"], "largest_eigenvalue": 9.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.8637531273716825) q[0];
rz(1.4462277680961666) q[0];
rx(0.8552822142662762) q[1];
rz(1.678743025923307) q[1];
rx(1.6403679548755914) q[2];
rz(1.5706192067706084) q[2];
rx(-0.08316826047023425) q[3];
rz(1.4219575430095173) q[3];
rx(1.8463340721941652) q[4];
rz(1.435... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"ZIIIIZI",
"ZIIIIIZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIZII",
"IIIZIZI",
"IIIZIIZ",
"ZIIZIII",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"III... | [
0.41666666666666663,
0.16666666666666666,
0.3333333333333333,
0.25,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.25,
0.3333333333333333,
0.41666666666666663,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.08333333333333333,
... | 0.971732 | [
1.8637531273716825,
-0.12456855869872976,
0.8552822142662763,
0.10794669912841044,
1.6403679548755914,
-0.0001771200242883901,
-0.08316826047023423,
-0.14883878378537918,
1.8463340721941652,
-0.1357545276662479,
0.5573794370532439,
-0.15359069394573152,
1.7756284499292956,
0.08329357515800... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -2.666666666666667,
"target_ratio": 0.97,
"target_value": -2.586666666666667
} | 43 |
843c0b844102c976bf0e3bde4e8ae7cf | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [426, 490], "expectation_value": -1.3834918460241072, "params": [0.192, 0.18560000000000001, 0.48210000000000003, 0.4772, 0.5859, 0.5937, 0.40900000000000003, 0.4132, 0.5999, 0.5995, 0.20320000000000002, 0.2, 0.5964, 0.5945, 0.092, 0.08600000000000001, 0.5966, 0.5969, 0.09860000000000001, 0.0978, 0.1927, 0.1... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(4))... | 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], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -2.0, "smallest_bitstrings": ["0011010100", "1000100110", "1000100011", "0010011100", "0010011001", "1001000110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.04289715695726991) q[0];
rz(pi/2) q[0];
ry(0.7107170319200843) q[1];
ry(0.4703766590927557) q[2];
ry(0.9227215368200531) q[3];
ry(0.7548038706134885) q[4];
ry(-0.2305965849039855) q[5];
ry(0.8749603382786761) q[6];
ry(-0.05789510687311766) q[7];
ry(1.1695928337305... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZZZIII",
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIIZIIZIIZ",
"IIIZIZIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"IIZZIZIIII",
"IIIIZIIIZI",
"IZIIIIIIZI",
"IZIIZIIIII",
"IZIIZIIIZI"... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0,
0,
0,
0,
0,
0,
-0.25,
0,
-0.25
] | 0.971348 | [
0.04289715695726991,
0.7107170319200843,
0.4703766590927557,
0.9227215368200531,
0.7548038706134885,
-0.2305965849039855,
0.8749603382786761,
-0.05789510687311766,
1.1695928337305748,
0.061895188952259525,
-0.25420448655296757,
-0.19184074027420744,
0.44211286759617985,
-0.1236053143222224... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 31 |
e7056fbb187e68baa5d05b0b9cb6a901 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 49], "expectation_value": -0.47527453502136696, "params": [[0.0702, 0.0755], [-0.0494, -0.06670000000000001]], "bitstrings": ["001011", "001110"], "total_optimization_steps": 10, "probabilities": [0.020048093156245436, 0.021437768943202186], "optimization_time": 2.4737887382507324} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "001110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.3483964545021323) q[0];
h q[1];
ry(1.3483964545021323) q[1];
h q[2];
ry(-1.5377717834128013) q[2];
h q[3];
ry(-0.5718354355912505) q[3];
ry(-0.060597795734454125) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[3];
ry(0.5718354355912505) q[3];
cx q[5], q[3];
ry(-0.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"IZIIZI",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-1,
0
] | 0.996817 | [
-1.5377717834128013,
-1.4355349010589802,
1.3483964545021323,
-1.143670871182501,
0.7256483222204215,
-0.3397090750168832,
0.4854071333661133,
-0.3806094686092039,
0.2510875381992757,
-0.09032787450619814,
0.08059260300373108,
0.19771184529814245,
-0.14932726000292476,
-0.10015168483220893... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
d265831a340745c2579b5b0193057d2b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [28, 156], "expectation_value": -3.401848592688832, "params": [0.807, -0.0043, 0.44830000000000003, -0.0045000000000000005, 0.3776, 0.0011, 0.7998000000000001, 0.0017000000000000001, 0.8011, -0.0051, 0.8112, -0.0128, 0.1809, -0.28600000000000003, 0.14500000000000002, 0.33590000000000003, 0.8059000000000001, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(7) + -0.5 * Z(4) + -0... | 4 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00110011", "01100011"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.40761657724658) q[0];
rz(1.4691509384229544) q[0];
rx(0.2769041885189221) q[1];
rz(1.4583498749265988) q[1];
rx(0.27227745249590596) q[2];
rz(1.2611504918952265) q[2];
rx(1.0306524427737673) q[3];
rz(1.412867184544412) q[3];
rx(1.2283228998662215) q[4];
rz(1.421415... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIIIZ",
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"ZIIIIIZI",
"IZIZIIII",
"ZIIZIIII",
"IZZIIIII",
"ZIZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-0.5,
-1,
-0.5,
-0.5
] | 0.976135 | [
1.4076165772465803,
-0.10164538837194183,
0.2769041885189222,
-0.11244645186829735,
0.27227745249590596,
-0.3096458348996699,
1.0306524427737673,
-0.15792914225048513,
1.2283228998662212,
-0.1493807790909811,
1.3834099265611377,
0.17299839106329162,
-0.22893587279717525,
-0.173187068940839... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 15 |
e6c8c402e3dce66f9c822ae2c5e943a3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [140, 141], "expectation_value": -4.421160034301832, "params": [0.3058, 0.0021000000000000003, 0.3005, 0.0016, 0.007500000000000001, 0.1942, 0.0097, 0.193, -0.0033, 0.1899, -0.007500000000000001, 0.1925, 0.0219, 0.1467, 0.0152, 0.1469, 0.2978, 0.0143, 0.2979, 0.054200000000000005, 0.2979, 0.0015, 0.3058, 0.0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(3) + -0.5 * Z(0) + -2.0 * Z(6) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(7) + 0.0 * Z(4) + 0.0... | 7 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["01010011", "00110011", "01110010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.7805529465186629) q[0];
rz(1.6620571352092135) q[0];
rx(-0.049143231453029894) q[1];
rz(1.7865268690853) q[1];
rx(0.8753589209094327) q[2];
rz(1.6858449982838213) q[2];
rx(0.24757612609275179) q[3];
rz(1.385323083017325) q[3];
rx(0.7291809308910457) q[4];
rz(1.0208... | 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": []} | [
"IIIIZIIZ",
"IZIIIIIZ",
"IZIIIIZI",
"IZIIIZII",
"IIIIIZZI",
"ZZIIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"IIIZZIII",
"IZZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-2,
-1,
-1,
-1,
0,
0
] | 0.973493 | [
0.7805529465186629,
0.09126080841431677,
-0.0491432314530299,
0.2157305422904039,
0.8753589209094326,
0.11504867148892481,
0.2475761260927518,
-0.18547324377757157,
0.7291809308910457,
-0.549993026309015,
-0.2314673902778217,
0.20833091412814997,
0.1404626390736965,
-0.0887893557805564,
... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 125 |
-2810934664626767259 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 2, 5, 1], [0, 1, 4, 5, 9], [10, 7], [0, 3, 4, 6, 7], [0, 4, 5, 8, 9, 10], [0, 9, 3, 6], [0, 2, 3, 5, 9, 10], [0, 1, 4, 6, 9], [1, 2, 10, 4], [0, 5, 6, 8, 9], [2, 4, 5, 8, 10], [1, 2, 4, 7, 9], [8, 1, 3, 7], [1, 5, 6, 8, 9, 10], [3, 4, 5, 6], [0, 2, 4, 6, ... | {"states": [891, 889], "expectation_value": -4.958314916144153, "params": [0.914, -0.8061, 0.747, 0.0091, 1.7836, 0.0154, 1.2513, 0.0064, 1.7489000000000001, -0.185, 1.3834, 0.0026000000000000003, 0.5694, -0.796, 0.5322, 0.0034000000000000002, 1.7823, -0.0441, 1.3063, 0.004, 1.7686000000000002, -0.057100000000000005, 0... | 0.23333333333333334 * (Z(10) @ Z(3)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.2833333333333333 * (Z(6) @ Z(10)) + 0.3 * (Z(1) @ Z(3)) + 0.3 * (Z(1) @ Z(10)) + 0.31666666666666665 * (Z(1) @ Z(6)) + 0.15 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(10)) + 0.31666666666666665 * (Z(0) @ Z(6)) + 0.16666666666666666 * (... | 5 | 11 | 1 | {"smallest_eigenvalues": [-5.233333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.016666666666665, "smallest_bitstrings": ["10010000110"], "largest_eigenvalue": 22.999999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.5338800132905522) q[0];
rz(-1.0249831466516683) q[0];
rx(1.9699540438878578) q[1];
rz(-0.029383467735167645) q[1];
rx(1.561932144683827) q[2];
rz(-0.2429845385265006) q[2];
rx(0.34150630688186456) q[3];
rz(-0.9016144812658382) q[3];
rx(1.690554980411512) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZIII",
"IIIIZIIZIII",
"ZIIIZIIIIII",
"IIIIIIIZIZI",
"ZIIIIIIIIZI",
"IIIIZIIIIZI",
"IIIIIIIZIIZ",
"ZIIIIIIIIIZ",
"IIIIZIIIIIZ",
"IIIIIIIIIZZ",
"IIIIIZIZIII",
"ZIIIIZIIIII",
"IIIIZZIIIII",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIIIZZII",
"ZIIIIIIIZII",
"IIIIZIIIZII",
"IIIIIIIIZ... | [
0.23333333333333334,
0.21666666666666667,
0.2833333333333333,
0.3,
0.3,
0.31666666666666665,
0.15,
0.3333333333333333,
0.31666666666666665,
0.16666666666666666,
0.25,
0.25,
0.36666666666666664,
0.3333333333333333,
0.3333333333333333,
0.25,
0.13333333333333333,
0.26666666666666666,
... | 0.971098 | [
0.5338800132905522,
-0.7895375673889332,
1.9699540438878578,
-0.045797722823051175,
1.5619321446838268,
-0.2661896252618353,
0.3415063068818646,
-0.6612371052932896,
1.6905549804115119,
-0.07540288076786864,
2.172435636491948,
0.016321742797848322,
1.7221536432518192,
-0.031193417924210473... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -5.233333333333333,
"target_ratio": 0.97,
"target_value": -5.076333333333333
} | 43 |
a90bff6c3a417e74e2fa1e262b24b3f8 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [67, 82], "expectation_value": -0.060051947860667476, "params": [[0.054400000000000004], [-0.044700000000000004]], "bitstrings": ["0111100", "0101101"], "total_optimization_steps": 10, "probabilities": [0.008234438403257315, 0.008234438403257324], "optimization_time": 1.264392375946045} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(3) + 0.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(1) + -1.0 * Z(5) + -0.5 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["0101101", "0111010", "1010011", "0101011", "0111100", "0011011", "1110010", "1100011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.04045280184155131) q[0];
rz(0.35284833551246164) q[0];
rx(0.6800423104352322) q[1];
rz(0.1724260761568442) q[1];
cx q[1], q[0];
rz(0.08370754730778537) q[0];
cx q[1], q[0];
rz(-1.2349642635385665) q[0];
ry(0.14766913975145737) q[0];
rz(2.2199450057045684) q[0];
rx(... | 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[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[3], q[5];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIIIZZI",
"IZIZIII",
"IZIIIZI",
"ZIIIZII",
"ZIIIIZI",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
-1,
-1,
-0.5,
0
] | 0.976518 | [
0.04045280184155131,
0.43655588282024704,
0.6800423104352322,
0.1724260761568442,
0.5021650058220093,
0.4581258945893301,
0.7509600036017368,
0.1343410048462616,
0.2682866982145812,
0.27947313338427127,
0.5347990794540245,
0.03178389450383861,
-0.004626952685714808,
0.42768168383809035,
... | {
"n_parameters": 100,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 11 |
74e5b8afd1f04f850c8f51ecde3fef19 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": ... | {"states": [6, 18], "expectation_value": -3.911631293737013, "params": null, "bitstrings": ["111001", "101101"], "total_optimization_steps": 18, "probabilities": [0.06012645497830037, 0.7888190124886368], "optimization_time": 14.815666913986206} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ 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(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) + -1.5 * Z(5) | 1 | 6 | 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": ["111100", "101101", "111001", "110011", "100111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3288835488220096) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3288835488220096) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.3288835488220096) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(-0.3288835488220096) q[0];
cx q[3], q[0... | 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",
"IIZIZI",
"IIZIIZ",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1,
-1,
-0.5,
-1.5
] | 0.710578 | [
-0.3288835488220096,
-0.4569013984649304,
0.39546902870984457,
-0.3214849664719219,
0.9367080556633262,
0.16515648853293044,
-0.1360939212779516,
0.39540444651921214,
0.8277812160071212,
-0.22629743565087163,
-0.6257377300833731,
0.5468911503864696,
0.21370137785717494,
0.4954772027731417,... | {
"n_parameters": 21,
"n_qubits": 10,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 500 |
12a709cea7d6ba239d3ff08a3d514b7a | 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": 5}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 1021], "expectation_value": -22.297054329333, "params": [[[0.003, 0.8097000000000001], [-0.0034000000000000002, 0.0029000000000000002], [0.0024000000000000002, 0.003], [0.0029000000000000002, 0.0015], [0.0039000000000000003, 0.0021000000000000003], [0.0026000000000000003, 0.0027], [0.0019, 0.002], [0.003... | -0.25 * (Z(0) @ Z(6)) + -1.0 * (Z(8) @ Z(6)) + -0.75 * (Z(8) @ Z(0)) + -0.75 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(0)) + -2.0 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(9)) + -1.0 * (Z(1) @ Z(4)) + -2.25 * (Z(10) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(8)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @... | 15 | 11 | 3 | {"smallest_eigenvalues": [-23.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.25, "smallest_bitstrings": ["10000000010"], "largest_eigenvalue": 21.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.009352198797701619) q[0];
ry(-0.023416686800909494) q[1];
ry(-0.04134372214514526) q[2];
ry(0.035992964165522744) q[3];
ry(0.06055001862373877) q[4];
ry(0.003716984372968836) q[5];
ry(0.028956464423881147) q[6];
ry(0.028956464423881147) q[7];
ry(-0.00935219879770... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIZIIIIIZ",
"IIZIZIIIIII",
"IIZIIIIIIIZ",
"IZIIZIIIIII",
"IZIIIIIIIIZ",
"IIIIZIZIIII",
"IIZIIIZIIII",
"IZIIIIZIIII",
"IIIIIIZIIZI",
"ZIIIIIIIIZI",
"IIIIZIIZIII",
"IIZIIIIZIII",
"IZIIIIIZIII",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IZIIIZIIIII",
"ZIIIIZIIIII",
"IIIIIZIZIII",
"IIIZZIIII... | [
-0.25,
-1,
-0.75,
-0.75,
-0.5,
-2,
-0.5,
-0.25,
-1,
-2.25,
-0.5,
-0.75,
-1,
-1,
-2,
-0.25,
-0.25,
-2,
-0.5,
-1.5,
-0.5,
-1.25,
-0.25,
-0.5,
1.75,
-1.25,
-0.25,
1,
-0.25,
-1,
-2.25,
-0.5,
-0.25,
0.75,
2.5,
0.25,
0,
-0.25
] | 0.970377 | [
-0.009352198797701619,
-0.023416686800909494,
-0.04134372214514526,
0.035992964165522744,
0.06055001862373877,
0.003716984372968836,
0.028956464423881147,
-0.07020954148146427,
-1.9819538787513062,
3.152390663002211,
-0.018778070561774052,
-0.03293081996558401,
0.0001844978361958613,
-0.01... | {
"n_parameters": 16,
"n_qubits": 11,
"optimal_eigenvalue": -23.25,
"target_ratio": 0.97,
"target_value": -22.5525
} | 9 |
b2309033b6624415ccab4ec6991f5bce | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [9, 24], "expectation_value": -5.411632246303773, "params": null, "bitstrings": ["1110110", "1100111"], "total_optimization_steps": 22, "probabilities": [0.06012643125725533, 0.7888196926387847], "optimization_time": 23.78864026069641} | 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(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.5 * Z(2) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011101", "1100111", "1111001", "1110110", "0011111", "1001111", "1011110"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rx(1.8077038032399073) q[0];
rz(-0.012604662463587601) q[0];
rx(1.7113188875234084) q[1];
rz(0.062477914972632664) q[1];
rx(1.5485655214217333) q[2];
rz(0.4598853806341343) q[2];
rx(-0.10332820676206783) q[3];
rz(1.206498792346732) q[3];
rx(1.404672382128714) q[4];
rz(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIZIZI",
"IIZIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"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,
0.5,
-1.5,
-2,
-1.5,
-2,
-1.5,
-1.5,
-0.5
] | 0.975787 | [
1.807703803239907,
-0.04200960570267162,
1.7113188875234084,
0.12303269481834897,
1.5485655214217335,
0.14880784740208253,
-0.10332820676206782,
0.7546914020822503,
1.4046723821287137,
0.298593828578469,
-0.017053380378249793,
1.0874544662564471,
1.8788160561178926,
0.5298602686487988,
0... | {
"n_parameters": 79,
"n_qubits": 14,
"optimal_eigenvalue": -4.125000000000004,
"target_ratio": 0.97,
"target_value": -4.001250000000004
} | 14 |
5c94745dc5cfcb7bd7e70ecbf4c71545 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "... | {"states": [254, 255], "expectation_value": -18.090491283311003, "params": [[[-0.0022, -0.0027], [0.0019, 0.0018000000000000002], [0.0019, 0.0019], [0.0021000000000000003, 0.002], [0.0029000000000000002, 2.2018], [0.0027, -0.0027], [-0.019, -0.0122], [0.0031000000000000003, 0.9696], [0.0027, -0.003], [0.0027, 0.0028], ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(9)) + -2.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(11) @ Z(9)) + -1.5 * (Z(11) @ Z(8)) + -2.0 * (Z(10) @ Z(9)) + ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["111100000000"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.028769053637450595) q[0];
ry(0.07580628058916448) q[1];
ry(0.07580628058916448) q[2];
ry(-0.026998476264109776) q[3];
ry(-0.2142558325013241) q[4];
ry(-0.04558349045700816) q[5];
ry(-0.05284536182854707) q[6];
ry(-0.09833995953822515) q[7];
ry(-0.0455834904570081... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IIIZZIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"IZZIIIIIIIII",
"IZIIZIIIIIII",
"IZIZIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIII... | [
0.5,
0.5,
-2,
-2,
-2,
-1.5,
0.5,
-1.5,
-2,
-2.5,
0.5,
0.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-2,
-2,
1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.974623 | [
-0.028769053637450595,
0.07580628058916448,
-0.026998476264109776,
-0.2142558325013241,
-0.04558349045700816,
-0.05284536182854707,
-0.09833995953822515,
-2.6375997330360947,
-0.07374906537583759,
-0.0599856461679485,
-0.044177242863891984,
0.010404162644867612,
3.079887365421881,
-0.01623... | {
"n_parameters": 19,
"n_qubits": 12,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 28 |
473775bc8d8b4cca680d00f7b64c1aa1 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [2, 3], "expectation_value": -10.822881527209319, "params": [[[0.46030000000000004, -0.1758], [0.1875, -0.2952], [0.1985, -0.29300000000000004], [0.4796, -0.17], [0.8002, -0.0016], [0.7966000000000001, 0.0015]], [[0.4652, 0.007], [0.1903, 0.0043], [0.1995, 0.004], [0.4859, 0.0064], [0.8036000000000001, 0.006... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 1 | 6 | 2 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 70.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022388232708840404) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022388232708840404) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022388232708840404) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.022388232708840404) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
-6.25,
-5.75,
-6.25,
-5.75,
-5.5,
-5.5
] | 0.970792 | [
0.022388232708840404,
-0.16546972504389865,
1.387189998889542,
1.1317721305414625,
-1.0291416278486831,
1.3553919116902904,
-0.24772195907827305,
-0.6852193775874179,
1.0091668921719015,
0.9126657422045303,
0.15550491965267638,
0.23151516878776346
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 42 |
6be29fcf64186db29d8d06f08ec325c6 | 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": 13, "source": 0, "target": 6}, {"weight": 13, "source": 0, "target": 4}, {"weight": 9, "source": 2, "target": 3}, {"... | {"states": [205, 109], "expectation_value": -32.04164071325884, "params": [[0.029500000000000002, 0.013000000000000001, -0.0058000000000000005], [-0.08800000000000001, -0.1583, -0.1482]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 20, "probabilities": [0.025936804414320568, 0.03194676115448258]... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.5 * Z(1) + 4.5 * Z(0) + 14.5 * Z(2) + 9.5 * Z(4) + 4.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-55.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 122.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-2.9437113529898604) q[0];
rz(0.0016260709049866762) q[0];
rx(3.4296792862449417) q[1];
rz(1.1913011004301606) q[1];
cx q[1], q[0];
rz(0.015086233168601998) q[0];
cx q[1], q[0];
rz(0.32191463907376133) q[1];
rx(0.03189089480925868) q[2];
rz(-0.5027947031620799) 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": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10.5,
4.5,
14.5,
9.5,
4.5,
9.5,
4.5,
16.5
] | 0.982417 | [
3.3394739541897263,
0.016712304073588924,
3.4296792862449417,
1.1913011004301606,
0.03189089480925867,
-0.23698160238807575,
-0.18382111424629338,
0.4138953982696465,
-0.19167456282803633,
-0.2771815042292091,
3.0282028227869757,
-0.1250923824193959,
3.2096010362394285,
-0.4837302848461374... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 20 |
06224520ded029e940b1fde3f5ab3e3b | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": 3, "target": 5}]} | {"states": [6, 7], "expectation_value": -2.216490994264401, "params": [[[0.195, -0.1962], [0.2937, -0.13], [0.25630000000000003, 0.134], [0.506, 0.0014], [0.5684, -0.0021000000000000003], [0.4273, -0.0044]], [[0.19890000000000002, -0.1935], [0.2922, -0.1301], [0.2539, 0.134], [0.5062, 0.0014], [0.5664, -0.0021000000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 * ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
1.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5
] | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
20a8103f07dd8a24047f028e6edcf2b9 | 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": 8, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [107, 122], "expectation_value": -41.39690867715534, "params": null, "bitstrings": ["10010100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.12014193001474291, 0.194657655874236], "optimization_time": 176.55591988563538} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 161.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2272642165478831) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.2272642165478831) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.2272642165478831) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.2272642165478831) q[3];
cx q[2], q[3]... | 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(0.1246) 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",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
12,
15,
19,
15.5,
6,
13.5,
9
] | 0.977575 | [
-0.2272642165478831,
0.24690528235963702,
-1.616083881978433,
0.017740733314421664,
-0.14747982232849638,
0.3724409492159851,
-0.3700067438537054,
-0.3747534950486415,
-1.2525943523608623,
0.1296028652764544,
0.2611058491705527,
0.6338612826613662,
0.30862829146170234,
0.9608679921026143,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -67.5,
"target_ratio": 0.97,
"target_value": -65.475
} | 95 |
4077791080526280871 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 3, 9, 10, 11], [1, 5, 6, 7, 9], [1, 3, 6, 7, 10, 11], [0, 1, 3, 4, 7, 10, 11], [0, 1, 2, 3, 4, 5, 6, 7, 8, 11], [0, 1, 2, 3, 4, 5, 7, 9, 10], [0, 1, 2, 3, 4, 5, 10, 11], [1, 2, 3, 5, 6, 8, 10], [1, 2, 3, 4, 6, 8, 9], [0, 9, 10, 6], [1, 3, 4, 5, ... | {"states": [1020, 1021], "expectation_value": -2.145184096233974, "params": [0.0017000000000000001, -1.117, -0.0026000000000000003, -1.0931, 1.796, 0.0027, 1.9373, 0.0029000000000000002, 2.204, -0.0029000000000000002, 2.4051, -0.0023, 2.573, 0.0025, 2.6592000000000002, -0.0022, 2.9066, -0.0029000000000000002, 3.1607000... | 0.11428571428571427 * (Z(0) @ Z(1)) + 0.11428571428571428 * (Z(4) @ Z(1)) + 0.06666666666666667 * (Z(4) @ Z(0)) + 0.1952380952380952 * (Z(5) @ Z(1)) + 0.09047619047619046 * (Z(5) @ Z(0)) + 0.11428571428571428 * (Z(5) @ Z(4)) + 0.1353174603174603 * (Z(11) @ Z(1)) + 0.12103174603174602 * (Z(11) @ Z(0)) + 0.06150793650793... | 4 | 12 | 1 | {"smallest_eigenvalues": [-2.2714285714285722], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.246031746031747, "smallest_bitstrings": ["110000000010"], "largest_eigenvalue": 11.999999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.015835037379244514) q[0];
rz(0.45029274125210605) q[0];
rx(0.04040064741068372) q[1];
rz(0.29927382893219523) q[1];
rx(1.815288875544272) q[2];
rz(1.669471156513108) q[2];
rx(2.013943209379312) q[3];
rz(1.2939889397296742) q[3];
rx(2.1870490254110466) 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZZIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIIIIZIIII",
"ZIIIIIZIIIII",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZIZII",
"IIIIIIZIIZII",
"ZIIIIIIIIZII",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIZZ... | [
0.11428571428571427,
0.11428571428571428,
0.06666666666666667,
0.1952380952380952,
0.09047619047619046,
0.11428571428571428,
0.1353174603174603,
0.12103174603174602,
0.061507936507936505,
0.08531746031746032,
0.1603174603174603,
0.18650793650793648,
0.07936507936507936,
0.1365079365079365,... | 0.971214 | [
-0.015835037379244517,
-1.1205035855427896,
0.04040064741068372,
-1.2715224978627016,
1.815288875544272,
0.09867482971821205,
2.013943209379312,
-0.27680738706522245,
2.1870490254110466,
0.0891412712642243,
2.3401919559808824,
-0.012604891709983012,
2.6287727978535007,
0.003487130944298287... | {
"n_parameters": 33,
"n_qubits": 12,
"optimal_eigenvalue": -2.2714285714285722,
"target_ratio": 0.97,
"target_value": -2.203285714285715
} | 10 |
2ed9f99b1445fcfc56c82274694227fc | 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": [358, 362], "expectation_value": -85.2047157153552, "params": [[[0.0893, -0.0025], [1.0556, 0.006500000000000001], [0.0258, 0.0023], [0.5737, 0.3649], [-0.0058000000000000005, 0.5806], [0.0031000000000000003, 1.5734000000000001], [-0.0024000000000000002, -0.17900000000000002], [0.007, -0.0876], [1.409, 0.247... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(9)) + 0.5 * Z(0) + 6.0 * Z(1) + 7.0 * Z(3) + 1.5 * Z(2) + 10.0 * Z(4) + -3.0 * Z(5) + 3.5 * Z(7) + -1.0 * Z(6) + 1.5 * Z(9) + 6.... | 15 | 10 | 3 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["1010010101"], "largest_eigenvalue": 95.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.040480412051049734) q[0];
ry(0.8273812404609059) q[1];
ry(0.19144419947467917) q[2];
ry(0.8306625123318894) q[3];
ry(0.009792002051525358) q[4];
ry(-0.04030328955561467) q[5];
ry(-0.07260082763898676) q[6];
ry(0.018991019636347924) q[7];
ry(1.4059532622270667) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIZZIIII",
"IIZIIIZIII",
"IIZZIIIIII",
"ZIIIIIIIZI",
"IZIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
0.5,
6,
7,
1.5,
10,
-3,
3.5,
-1,
1.5,
6.5
] | 0.970679 | [
0.040480412051049734,
0.8273812404609059,
0.19144419947467917,
0.8306625123318894,
0.009792002051525358,
-0.04030328955561467,
-0.07260082763898676,
0.018991019636347924,
1.4059532622270667,
-0.003675592588110125,
0.027572999068123074,
0.0107761887300988,
0.04566131927225086,
0.64591450996... | {
"n_parameters": 58,
"n_qubits": 10,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 48 |
58fa04385078dcdc0b5f9361c481400a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [0, 24], "expectation_value": -3.4998646533653353, "params": null, "bitstrings": ["11111", "00111"], "total_optimization_steps": 16, "probabilities": [1.9001409475734607e-05, 0.9999182925217274], "optimization_time": 10.082853555679321} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11010", "00111"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIZIZ",
"IZZII",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"IIZZI",
"IZIZI",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"ZIIII",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [988, 1623], "expectation_value": -0.4154898253205855, "params": [[0.0718], [-0.0603]], "bitstrings": ["10000100011", "00110101000"], "total_optimization_steps": 10, "probabilities": [0.0005879357171473511, 0.0005879357171473512], "optimization_time": 5.31950831413269} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 1 | 11 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00100101000", "00110101000", "10000100010", "10000100011"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIIZII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
1.5,
1.25,
1.5,
1,
1,
1,
1.25,
1.5,
1.5,
0.25,
0.25
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
8276274172437930851 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 4, 8, 10, 11], [0, 1, 5, 6, 7, 8, 9, 11, 12], [1, 4, 6, 7, 10], [8, 3, 5], [1, 2, 4, 9, 12], [0, 1, 3, 4, 7, 8, 9, 10, 12], [0, 3, 4, 5, 9, 11], [0, 1, 2, 4, 8, 11], [1, 4, 5, 6, 8, 9, 10, 12], [0, 1, 4, 5, 6, 7, 9, 11], [0, 1, 2, 4, 6, 9, 11],... | {"states": [5565, 5597], "expectation_value": -3.3008217831921445, "params": [1.476, 1.6586, 1.1852, 1.9635, 1.3311000000000002, 1.7723, 0.1184, 0.1535, 1.9652, 1.1734, 1.3679000000000001, 1.7619, 1.4712, 1.5953000000000002, 1.7975, 1.3569, 1.5932000000000002, 1.5609000000000002, 1.59, 1.5336, 1.3636000000000001, 1.744... | 0.1738095238095238 * (Z(0) @ Z(1)) + 0.3015873015873016 * (Z(4) @ Z(1)) + 0.26706349206349206 * (Z(4) @ Z(0)) + 0.11230158730158729 * (Z(8) @ Z(1)) + 0.14444444444444443 * (Z(8) @ Z(0)) + 0.14841269841269839 * (Z(8) @ Z(4)) + 0.1388888888888889 * (Z(10) @ Z(1)) + 0.12103174603174603 * (Z(10) @ Z(0)) + 0.138888888888888... | 14 | 13 | 1 | {"smallest_eigenvalues": [-3.519047619047617], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5158730158730127, "smallest_bitstrings": ["0101000100010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.5460156900142694) q[0];
rz(pi/2) q[0];
ry(1.438437802389955) q[1];
ry(1.2872355770744695) q[2];
ry(-0.0045915358818454325) q[3];
ry(2.36795256444847) q[4];
ry(1.3261974221695254) q[5];
ry(1.464204528493682) q[6];
ry(1.799622521509574) q[7];
ry(1.258350769901838) 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": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIZIIZI",
"IIIIIIIIZIIIZ",
"IIIIZIIIIIIZI",
"IIIIZIIIIIIIZ",
"IIIIZIIIZIIII",
"IIZIIIIIIIIZI",
"IIZIIIIIIIIIZ",
"IIZIIIIIZIIII",
"IIZIZIIIIIIII",
"IZIIIIIIIIIZI",
"IZIIIIIIIIIIZ",
"IZIIIIIIZIIII",
"IZIIZIIIIIIII",
"IZZIIIIIIIIII",
"IIIIIIIZIIIZI",
"IIIIIIIZIII... | [
0.1738095238095238,
0.3015873015873016,
0.26706349206349206,
0.11230158730158729,
0.14444444444444443,
0.14841269841269839,
0.1388888888888889,
0.12103174603174603,
0.1388888888888889,
0.06507936507936507,
0.1361111111111111,
0.19325396825396823,
0.17936507936507937,
0.08055555555555555,
... | 0.970188 | [
1.5460156900142694,
1.438437802389955,
1.2872355770744695,
-0.0045915358818454325,
2.36795256444847,
1.3261974221695254,
1.464204528493682,
1.799622521509574,
1.258350769901838,
1.6561629281309211,
1.1394047034049766,
1.4501576714152404,
1.420557375331744,
1.294120041591424,
0.7037875895... | {
"n_parameters": 52,
"n_qubits": 13,
"optimal_eigenvalue": -3.519047619047617,
"target_ratio": 0.97,
"target_value": -3.4134761904761888
} | 18 |
70efe634d2e246637c66fda98f8e7e18 | 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": [277, 309], "expectation_value": -5.997364631567787, "params": [[[0.002, 0.0094, 0.0018000000000000002, 0.0085], [1.0544, -0.002, 1.0479, 0.0057], [0.0029000000000000002, 0.006500000000000001, 0.0029000000000000002, 0.0077], [0.0019, 0.8854000000000001, 0.002, 0.008], [1.5987, 0.0004, 0.0019, 0.0086], [0.376... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(2) ... | 12 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.0, "smallest_bitstrings": ["0011011100", "1011001010", "1011011000", "1101001010"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.0343369696579601) q[0];
rz(-0.31305139679699556) q[0];
ry(0.6034729569687034) q[1];
rz(-0.23837503964177337) q[1];
cz q[1], q[0];
ry(2.849571984642209) q[1];
ry(0.0929007307064159) q[2];
rz(0.17184457319257362) q[2];
ry(-0.05376432302602722) q[3];
rz(1.59169233396... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IIZIIIIIIZ",
"IIZIIIZIII",
"IIIIIIIZZI",
"IIIZIIIIZI",
"IZIIIIIZII",
"IZIIZIIIII",
"IZIZIIIIII",
"ZIIIIIZIII",
"IIIZIZIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
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,
-2,
-1,
-1,
-2,
-0.5,
-0.5,
-1,
0,
0
] | 0.976183 | [
0.0343369696579601,
-0.31305139679699556,
0.6034729569687034,
-0.23837503964177337,
0.0929007307064159,
0.17184457319257362,
-0.05376432302602722,
1.5916923339690174,
2.661105082968148,
-0.10303619271814585,
0.30258773954095086,
-0.47235998240721133,
0.0007189645047227036,
0.35919843271824... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 19 |
abebab5175d0d0d89bf916154d0e1360 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [191, 190], "expectation_value": -1.615618971040645, "params": [0.1111, 0.3533, 0.6, -0.0795, 0.09870000000000001, -0.2277, 0.4632, -0.1353, 0.6035, 0.0046, 0.5679000000000001, 0.0162, 0.5987, -0.0176, 0.5933, -0.0889, 0.36510000000000004, -0.0695, 0.1051, 0.3597, 0.5965, -0.06620000000000001, 0.1023, -0.227... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(5)) + -0.25 *... | 18 | 9 | 4 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.3125, "smallest_bitstrings": ["011001000", "100100010", "101000001"], "largest_eigenvalue": 5.6875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-3.0276657592090853e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-3.0276657592090853e-08) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(-3.0276657592090853e-08) q[4];
cx q[2], q[4];
rz(1.5707962011... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIIZZZII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"IIZZIIIIZ",
"IZIIIIZII",
"IIIZIZIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIIZIZIII",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
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... | 0.777778 | [
-3.0276657592090853e-8,
1.5707962011345744,
-1.5707963261737141,
1.5707962746941437,
1.570796338750851
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 149 |
3017d2c1cdf0bee58e95b7b7a199c0c6 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [614, 613], "expectation_value": -82.99104584082984, "params": [[[0.5161, 0.003], [-0.0129, -0.0035], [0.0017000000000000001, 0.0108], [0.7130000000000001, 0.2291], [0.3098, 0.34140000000000004], [0.0035, 0.24860000000000002], [-0.032600000000000004, 0.0067], [0.1607, 0.10210000000000001], [0.5984, 0.8953000... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(2) @ Z(4)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(9) @ Z(0)) + 6.5 * (Z(9) @ Z(8)) + 13.5 * Z(0) + 4.5 * Z(1) + 12.5 * Z(3) + 4.5 * Z(5) + 14.0 * Z(4) + -5.0 * Z(2... | 15 | 10 | 4 | {"smallest_eigenvalues": [-90.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["0110011010"], "largest_eigenvalue": 139.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.6806257184415104) q[0];
ry(0.31850957412624936) q[1];
ry(0.16330736365597495) q[2];
ry(1.114898977184258) q[3];
ry(0.1731013117407966) q[4];
ry(-0.07288784331256568) q[5];
ry(-0.44119426131915496) q[6];
ry(0.24758156367511142) q[7];
ry(0.49901616064973797) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIZIZIII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIIZIZII",
"IIZIIIIIZI",
"IIIZIIZIII",
"IIZZIIIIII",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIIIIIZII",
"IIZIIIIIII",
"IIIZIIIIII",
"IZIIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
13.5,
4.5,
12.5,
4.5,
14,
-5,
6,
3.5,
4,
10
] | 0.972615 | [
0.6806257184415104,
0.31850957412624936,
0.16330736365597495,
1.114898977184258,
0.1731013117407966,
-0.07288784331256568,
-0.44119426131915496,
0.24758156367511142,
0.49901616064973797,
-0.024357322158444664,
0.016750358810408948,
0.03481782715601887,
0.06704060543721435,
0.22094048258628... | {
"n_parameters": 80,
"n_qubits": 10,
"optimal_eigenvalue": -90,
"target_ratio": 0.97,
"target_value": -87.3
} | 66 |
16e531ebd5c4fa365456c9500ea8e716 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [423, 934], "expectation_value": -1.7041235376403576, "params": [[[1.5735000000000001, 0.0028], [1.7100000000000002, -0.0018000000000000002], [1.7008, 0.0004], [0.6828000000000001, 0.006], [1.7069, 0.0034000000000000002], [1.159, -0.003], [0.0027, 0.002], [1.5768, 1.5684], [1.5707, 0.7459], [1.5766, 1.5739]]... | 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 | 10 | 1 | {"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], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.625, "smallest_bitstrings": ["0001011010", "0001011001", "0101011000", "1000011001", "1000001101", "10000010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.17931700348995208) q[0];
rz(-0.5295651513983046) q[0];
rx(0.1383091762588557) q[1];
rz(-2.4427159179592346) q[1];
rx(0.19192920998953547) q[2];
rz(0.7692060885471252) q[2];
rx(0.010941951037614334) q[3];
rz(1.0249064769628937) q[3];
rx(3.3823159256033737) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZZIIIZ",
"IIZZIIIIII",
"IIIIIZIIZI",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"IZIIIZIIII"... | [
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,
0.125,
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... | 0.970005 | [
-0.17931700348995208,
-0.5295651513983046,
0.1383091762588557,
-2.4427159179592346,
0.19192920998953547,
0.7692060885471252,
0.010941951037614334,
1.0249064769628937,
3.3823159256033737,
0.76377487209716,
2.7495714135870237,
0.6576922218401471,
3.0317260152509355,
-2.4912281243830905
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 29 |
fa1aa02644db6485d126884facd8fbe5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}]} | {"states": [60, 101], "expectation_value": -0.5798326707788612, "params": [[0.06380000000000001, 0.0587, 0.060500000000000005, 0.07250000000000001], [-0.0519, -0.0443, -0.0461, -0.0579]], "bitstrings": ["1000011", "0011010"], "total_optimization_steps": 10, "probabilities": [0.014011502423992675, 0.014629709555881394],... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(3) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011010", "1001010", "1000011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0074207548089881) q[0];
cx q[2], q[0];
rz(-1.62559946447614) q[2];
rx(1.5247430591609956) q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.0074207548089881) q[5];
cx q[0], q[5];
cx q[0], q[3];
rz(-0.0074207548089881) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIIIZ",
"IIIZIIZ",
"IZIIIZI",
"ZIIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-1,
-0.5,
0,
0,
0
] | 0.972476 | [
-0.0074207548089881,
-1.62559946447614,
1.6942216147964604,
1.1633760167161522,
1.5247430591609958,
0.061183352847591965,
0.7500638384568105,
0.2284438797758424,
0.09388118757753881
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 24 |
6af884d627ee37a45c35f4c485ec07d5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [21, 61], "expectation_value": -3.9949433671033607, "params": null, "bitstrings": ["1101010", "1000010"], "total_optimization_steps": 38, "probabilities": [0.24539137776393896, 0.7475135603386809], "optimization_time": 31.538135766983032} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(5)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + 0.25 * Z(3) + -0.25 * Z(1) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101010", "1111110", "1101110", "1000010"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2129396642339767) q[0];
cx q[5], q[0];
cx q[5], q[3];
rz(-0.2129396642339767) q[3];
cx q[5], q[3];
cx q[3], q[1];
rz(-1.5032141761943887) q[1];
cx q[3], q[1];
rz(-0.2129396642339767) q[1];
rx(-0.873748... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5486) q[1], 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]... | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIZIII",
"IIIZIZI",
"IIZZIII",
"IIZIZII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII"
] | [
-0.25,
0.5,
-0.25,
-1.25,
-0.25,
-0.5,
-0.5,
-0.25,
0.5,
0.25,
-0.25,
-0.25,
0.5
] | 0.656065 | [
-0.2129396642339767,
0.823446126675711,
-1.5032141761943887,
-1.1053657754057873,
-0.24166154592351555,
-0.8737487988534467
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 173 |
-7674393439505092874 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2], [1, 3, 5], [0, 3, 6], [1, 4], [0, 1], [2, 6], [0, 2, 3], [1, 3, 6], [0, 3, 5], [5, 6], [0, 4]]} | {"states": [30, 105], "expectation_value": -1.4203386692507405, "params": [[-0.365], [0.36510000000000004]], "bitstrings": ["1100001", "0010110"], "total_optimization_steps": 40, "probabilities": [0.030693554430542818, 0.031073550796601134], "optimization_time": 1.6111760139465332} | 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.1666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9999999999999987, "smallest_bitstrings": ["0010110"], "largest_eigenvalue": 8.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.5893649743284626) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.05685681059948358) q[3];
cx q[2], q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(0.05685681059948358) q[0];
cx q[2], q[0];
rz(-0.15431819551125364) q[3];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIIZZII",
"IIIZIZI",
"IZIIIZI",
"IZIZIII",
"IIIIZIZ",
"IIIIIZZ",
"IIIZIIZ",
"IZIIIIZ",
"ZIIIZII",
"ZIIIIZI",
"ZIIZIII",
"ZZIIIII",
"ZIIIIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666652,
0.3333333333333337,
0.8333333333333333... | 0.584976 | [
-0.5893649743284626,
0.05685681059948358,
-0.15431819551125364,
-1.2079776283549255,
0.7728645456675897,
0.8113140815706174
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -3.0000000000000004,
"target_ratio": 0.97,
"target_value": -2.91
} | 163 |
6206337d7d1967e1d98c4b708b2f9aeb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [9, 44], "expectation_value": -1.4061860654257534, "params": [[0.053700000000000005, 0.0505, 0.0709, 0.055400000000000005], [-0.039, -0.0241, -0.0539, -0.053200000000000004]], "bitstrings": ["110110", "010011"], "total_optimization_steps": 10, "probabilities": [0.025318918343546742, 0.029600825600582074], "o... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z... | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["010011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-3.104597454054124) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.53500557433382) q[1];
h q[2];
ry(1.4439796999895051) q[2];
cx q[2], q[0];
ry(-0.09228340053169692) q[0];
cx q[2], q[0];
ry(0.12874566237956261) q[2];
h q[3];
ry(1.4415177267275305) q[3];
h q[4];
ry(-1.535005574333... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZZIIII",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-2,
-1.5,
-0.5,
-1
] | 0.993942 | [
-1.53500557433382,
-1.4376074027751256,
1.4439796999895051,
1.4415177267275305,
0.0014514087102965867,
0.18456680106339385,
0.15085650241299106,
0.25749132475912523,
-0.0014710015415432699,
-0.07056259980137612,
0.21107059744399434,
-0.014355156257897916
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
193bd74fa5c39737b189c4cd7c74ab9f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [17, 81], "expectation_value": -3.17553621201106, "params": [[[1.6605, 0.0041], [-0.020200000000000003, 0.0089], [1.8089000000000002, 0.0013000000000000002], [-0.018500000000000003, 0.008700000000000001], [1.2903, 0.0092], [0.0821, 0.0092], [1.6902000000000001, 0.0097]]], "bitstrings": ["1101110", "0101110"]... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(6) + -1.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101011", "1010101", "0101110"], "largest_eigenvalue": 11.5} | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIIZ",
"IZIIIIZ",
"IIIIZZI",
"IIIZZII",
"ZIIIIZI",
"ZZIIIII",
"IIZZIII",
"IZZIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-1,
-0.5,
-1,
-1
] | 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 |
18dd4c426cbe67a44eb1a1feaa80acf2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -2.1311791649373255, "params": [[-0.0648, -0.035500000000000004], [0.0765, 0.0627]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.00888057953453432, 0.008919377455263066], "optimization_time": 3.470231533050537} | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.75 * (Z(7) @ Z(1)) + -1.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-13.0, -13.0, -13.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.0, "smallest_bitstrings": ["10011110", "10001000", "10000000"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(0.030884823531118308) q[1];
cx q[3], q[1];
h q[4];
cx q[4], q[0];
rz(0.030884823531118308) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.40111922029181324) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.007720559305830536)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIIZIZI",
"IIZZIIII",
"IIZIZIII",
"IIZIIIZI",
"IZIZIIII",
"IZIIZIII",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII"
] | [
-1,
-1,
-1.25,
-0.5,
-0.5,
-1.5,
-1.5,
-0.5,
-0.25,
1.25,
-1,
-1.75,
-1.75,
-0.75,
-1.75,
-0.25,
-1,
2,
-0.25,
0.25,
-1.5,
2.5
] | 0.931747 | [
0.030884823531118308,
-0.40111922029181324,
0.007720559305830536,
-0.23315600538113385,
0.24539243476162034,
-0.4806649345399758,
0.17063070767241398,
-0.008540380939666133,
-1.7059085606254492,
1.636041258700253,
-0.9195588453897449,
1.2680234351244943,
0.021909361287217762,
-0.3369092285... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 500 |
e087bb7a2ab5b6cd6822b49db98164ad | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4... | {"states": [39, 47], "expectation_value": -5.062697837579946, "params": null, "bitstrings": ["1011000", "1010000"], "total_optimization_steps": 38, "probabilities": [0.3117844399029031, 0.3119944309396887], "optimization_time": 34.89496397972107} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + 1.0 * Z(4) + -0.25 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + -2.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1010000", "1111100", "1110100", "1011000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.684079612108113) q[0];
h q[1];
h q[2];
ry(-1.6130910725056342) q[2];
h q[3];
h q[4];
ry(0.8705312656325608) q[4];
cx q[1], q[4];
ry(-0.8705312656325608) q[4];
cx q[1], q[4];
ry(0.5638362462260424) q[1];
cx q[4], q[1];
ry(-0.5638362462260424) q[1];
cx q[4],... | 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", ... | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"IIIZZII",
"ZIZIIII",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
-0.5,
-0.5,
-1.25,
-0.75,
-0.25,
-0.75,
-0.25,
-0.5,
1.25,
-0.75,
1,
-0.25,
0.5,
0.5,
-2,
0.25,
0
] | 0.971879 | [
-1.6130910725056342,
1.7410625312651216,
1.127672492452085,
-1.368159224216226,
1.3090628769470818,
-0.18059820948263738,
1.4980182789583685,
0.09301418289946432,
-0.5987902664515456,
0.00709990805003651,
0.28724048981292466,
0.025051227171103974,
-0.11161857880706907,
-0.10313587200409623... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 9 |
69144809aea48cb46eae9c3950f24a15 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [2911, 2910], "expectation_value": -4.805789683052625, "params": [1.5026000000000002, 0.4328, 0.7162000000000001, 0.7057, 1.556, 0.3781, 1.5585, 0.11330000000000001, 0.7273000000000001, 0.7185, 1.5393000000000001, 0.49300000000000005, 0.8088000000000001, -0.4862, 1.5296, -0.2862, 1.5267000000000002, -0.06000... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * ... | 16 | 12 | 2 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100001100010", "100100001010", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIZIIIIIII",
"IZIIIIIIIIZI",
"IZZIIIIIIIII",
"ZIIZIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1,
1,
1,
0.75,
0.75,
0.75,
1,
1,
1
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
f5ca3fa53513e718dd1ab752cce53528 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [60, 58], "expectation_value": -4.9998837605244075, "params": null, "bitstrings": ["1000011", "1000101"], "total_optimization_steps": 31, "probabilities": [1.6414553871044653e-05, 0.9999151801987981], "optimization_time": 22.95253610610962} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(1) + -1.5 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -1.5 * Z(6) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.539773730391109) q[0];
ry(-3.0810301883895455) q[1];
rz(-pi) q[1];
h q[2];
ry(1.4076548747300908) q[2];
rz(-pi) q[3];
ry(-3.090096948584805) q[3];
cx q[2], q[3];
ry(-0.11870721200446115) q[3];
cx q[2], q[3];
ry(0.02835308496782816) q[2];
ry(-0.012021394614... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIZZIII",
"ZIIZIII",
"IZZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
0,
-1,
-1.5,
-0.5,
-0.5
] | 0.995005 | [
-1.539773730391109,
-1.5401853177088944,
-1.4842292478622445,
1.4076548747300908,
1.503584819795424,
-0.14909136863639172,
0.2374144240089223,
0.21886756702870053,
0.20515797372911565,
0.05670616993565632,
0.035139678168418474,
0.12155632966326617
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
e26a7b0ced2794f5e9fb233975a2bd69 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 4... | {"states": [16350, 49118], "expectation_value": -20.88498977222334, "params": [1.6523, 0.005, 0.0328, 0.01, 3.1443000000000003, 0.0088, 3.1443000000000003, 0.0092, 3.1443000000000003, 0.0016, 3.1443000000000003, 0.0097, 3.1443000000000003, 0.001, 3.1443000000000003, 0.0053, 3.1443000000000003, 0.009600000000000001, 3.1... | 0.5 * (Z(4) @ Z(13)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(4)) + 0.5 * (Z(5) @ Z(13)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(14)) + -0.5 * (Z(6) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(14)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(13)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(14)) + 0.5 * (Z(7) @ Z(5)) ... | 3 | 16 | 1 | {"smallest_eigenvalues": [-20.999999999999627], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.99999999999962, "smallest_bitstrings": ["0100000000100001"], "largest_eigenvalue": 56.25000000000008} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(-0.532218750852081) q[0];
rz(-0.23670284243252127) q[0];
rx(0.3741699073439885) q[1];
rz(0.4934594354813604) q[1];
cx q[1], q[0];
rz(0.3829938625086575) q[0];
cx q[1], q[0];
rz(-1.4402511638052853) q[0];
ry(0.6108400779045863) q[0];
rz(1.9626296906473204) q[0];
rx(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIZIIIIIIIIZIIII",
"IZZIIIIIIIIIIIII",
"IZIIIIIIIIIZIIII",
"IIZIIIIIIIZIIIII",
"IIIIIIIIIIZZIIII",
"IZIIIIIIIIZIIIII",
"IIZIIIIIIZIIIIII",
"IIIIIIIIIZIZIIII",
"IZIIIIIIIZIIIIII",
"IIIIIIIIIZZIIIII",
"IIZIIIIIZIIIIIII",
"IIIIIIIIZIIZIIII",
"IZIIIIIIZIIIIIII",
"IIIIIIIIZIZIIIII",
"IIIIIII... | [
0.5,
1,
0.5,
0.5,
1,
0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.375,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
... | 0.978104 | [
-0.5322187508520813,
0.1462910200761373,
0.3741699073439885,
0.4934594354813604,
0.6289236533584328,
-0.00968127929361059,
0.3470593711482598,
-0.01955911238111324,
0.3304506711477374,
0.07680225456727892,
0.4245100485287902,
-0.04433256622829804,
0.47901742355234317,
0.13127803375049976,
... | {
"n_parameters": 204,
"n_qubits": 16,
"optimal_eigenvalue": -20.99999999999988,
"target_ratio": 0.97,
"target_value": -20.369999999999884
} | 1 |
40969da677d24132a72158e32478fe04 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [895, 1023], "expectation_value": -12.871672350605888, "params": null, "bitstrings": ["0010000000", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.12619441848946178, 0.2890250597867233], "optimization_time": 193.88941931724548} | -3.0 * (Z(0) @ Z(2)) + 1.0 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(0)) + -3.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(6)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * (Z(4) @ Z(1)) + -3.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 *... | 5 | 10 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 28.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
ry(0.7066324147453441) q[2];
cx q[1], q[2];
ry(-0.7066324147453441) q[2];
cx q[1], q[2];
ry(1.2869464833988842) q[1];
h q[3];
ry(0.7066324147453441) q[3];
h q[4];
ry(0.7066324147453441) q[4];
cx q[2], q[4];
ry(-0.7066324147453441) q[4];
cx q[2],... | null | {"node": 10} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[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] = measu... | [
"IIIIIIIZIZ",
"IIIZIIIZII",
"IIIZIIIIIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIZIIIIZI",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIIZIZIIII",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIZIIZII",
"IIIIZIZIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IIIIIIIZII"... | [
-3,
1,
-2,
-3,
1,
-2.5,
-2.5,
0.5,
0.5,
-2,
-3,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
1
] | 0.928444 | [
1.4132648294906882,
2.5738929667977684,
-1.255074313594639,
1.4387769171296734,
-1.6687013665523494,
0.008526026845057422,
0.04794513929195872,
-0.07827619789188989,
-0.004845141037823551,
0.894034386651769,
3.2953216653543653,
0.5825904195418684,
-0.1991448859798608,
-0.08209510145790061,... | {
"n_parameters": 71,
"n_qubits": 10,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 500 |
fb354d60453679d679afcbc2ef259e36 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [25, 26], "expectation_value": -3.9999003248204605, "params": null, "bitstrings": ["100110", "100101"], "total_optimization_steps": 28, "probabilities": [1.7187519565460784e-05, 0.9999500716492428], "optimization_time": 22.122302532196045} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.771457845796399) q[0];
rz(0.20583293908457456) q[0];
rx(0.9226641717609871) q[1];
rz(0.16372671104574926) q[1];
cx q[1], q[0];
rz(-0.04382293817596074) q[0];
cx q[1], q[0];
rx(0.7533216915569005) q[0];
rz(0.05206125349230284) q[0];
rz(0.06315738960408568) q[1];
rx(... | 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",
"IIZIIZ",
"IIZZII",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
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
] | 0.97422 | [
0.7714578457963991,
0.16201000090861373,
0.9226641717609871,
0.16372671104574926,
1.1584520372173939,
-0.006876482614402969,
0.0444164020346387,
0.25393271130854,
-0.047803904028318286,
-0.03324698493440209,
-0.03689418107124742,
0.10406937110530717,
0.643156446848987,
0.15964110472260815,... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 13 |
3a5e93a6522b0debcced28655340b370 | 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": 7, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 7, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -29.789525217317777, "params": [-0.0035, -0.5348, -0.0037, 0.0033, 0.0023, -0.5716, 0.0023, 0.0045000000000000005, 0.804, 0.1811, 0.807, 0.0068000000000000005, 0.0026000000000000003, -0.5785, 0.0026000000000000003, 0.0055000000000000005, 0.0023, -0.5883, 0.0023, 0.001, 0.0022, ... | -1.75 * (Z(0) @ Z(3)) + -0.5 * (Z(8) @ Z(0)) + 2.5 * (Z(2) @ Z(0)) + -1.75 * (Z(1) @ Z(3)) + -2.25 * (Z(1) @ Z(8)) + -2.75 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -3.25 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @... | 5 | 11 | 1 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.75, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 32.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.037999392270183334) q[0];
rz(1.6138554769419997) q[0];
rx(0.19198116915337898) q[1];
rz(1.7827157089336474) q[1];
rx(0.3923632091272242) q[2];
rz(1.451475892954238) q[2];
rx(-0.10297140916700372) q[3];
rz(2.237259732182018) q[3];
rx(0.050696212674097886) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIZIIIIIIIZ",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIZIIIIIIZI",
"IIIIIIZZIII",
"IIZIIIZIIII",
"IIIIIIZIZII",
"IIIIIIZIIZI",
"IIZIIZIIIII",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIZIIZIII",
"IIIIZIIIZII",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"ZIIIIIIZIII",
"ZIIIIIIIIZI",
"ZIIIZIIII... | [
-1.75,
-0.5,
2.5,
-1.75,
-2.25,
-2.75,
-0.25,
-0.5,
-1,
-3.25,
-0.5,
-1.75,
-0.25,
-1.5,
-1,
-0.75,
-1.25,
-1.75,
-2.25,
-0.25,
-0.25,
-0.25,
-1.5,
-0.75,
-1,
-0.5,
-1.75,
0.75,
-0.25,
-2.5,
0.5,
-3.25,
-0.75,
0.25,
3,
-2,
-0.25,
4.5
] | 0.972526 | [
0.03799939227018334,
0.043059150147103584,
0.19198116915337896,
0.21191938213875106,
0.3923632091272242,
-0.11932043384065855,
-0.1029714091670037,
0.6664634053871208,
0.05069621267409789,
0.08326658781513935,
-0.04992826844587948,
0.025011330461926176,
0.11710482336227845,
0.2530621191124... | {
"n_parameters": 120,
"n_qubits": 11,
"optimal_eigenvalue": -30.75,
"target_ratio": 0.97,
"target_value": -29.8275
} | 14 |
475b2f0a232bb0d3ab64793dc24452cb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [25, 74], "expectation_value": -2.1621766597578986, "params": [[0.067, 0.07350000000000001, 0.0717, 0.0809], [-0.06670000000000001, -0.0747, -0.0675, -0.0757]], "bitstrings": ["1100110", "0110101"], "total_optimization_steps": 10, "probabilities": [0.022215391072187732, 0.022215391072187743], "optimization_t... | 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(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(4) + -1.5 * Z(6) + 0.0 * Z(... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100110", "1100011", "1110001", "0110101"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.141203751720873) q[0];
rz(0.09974369464535335) q[0];
ry(0.015768995776254083) q[1];
rz(0.44914816173938016) q[1];
cz q[1], q[0];
ry(0.5410146253572999) q[0];
rz(-0.19742549213463792) q[0];
ry(0.12366692714844989) q[1];
ry(-0.016500857305919166) q[2];
rz(0.10374467... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIZIZI",
"IZIIIZI",
"IZIIZII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1,
-0.5,
-1.5,
0,
-1
] | 0.97721 | [
1.141203751720873,
0.09974369464535335,
0.015768995776254083,
0.44914816173938016,
-0.016500857305919166,
0.10374467845304794,
-0.1481527973051474,
0.6300814671890728,
1.328520900525819,
0.1895073173007843,
0.01232531009892275,
0.6650802867782362,
1.1343582893231279,
0.0028847169183136567,... | {
"n_parameters": 90,
"n_qubits": 11,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 75 |
9325960b1637dc394e7dc9dd3fcbad13 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "... | {"states": [2046, 4095], "expectation_value": -9.32943495049069, "params": [[[-0.919, 1.1995], [-0.005, 1.0406], [0.0023, -0.005200000000000001], [0.0019, 0.0014], [0.0015, 0.0016], [0.0016, 0.0016], [0.0023, 0.002], [0.0033, -0.003], [0.0027, 0.0028], [0.0014, 0.0024000000000000002], [0.003, 0.0023], [0.00290000000000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(11)) + -1.5 * (Z(2) @ Z(11)) + -1.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(7) + 1.0 * Z(9) + -1.0 * Z(8) + 0.5 * Z(11) + 0.5 ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["000000000000", "000000001100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.13481449337706808) q[0];
ry(-0.09125046950375937) q[1];
ry(-0.028463240667156955) q[2];
ry(-0.2048977980645706) q[3];
ry(0.0658760941561959) q[4];
ry(-0.027593696410604884) q[5];
ry(-0.028463240667156955) q[6];
ry(0.05504733802035046) q[7];
ry(-0.1964499520548427... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IIZZIIIIIIII",
"ZZIIIIIIIIII",
"ZIIIIIIIIZII",
"IZIIIIIIIZII",
"IIIIIIIZZIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIZIIIIII",
"IIIIIIZIIIII",
"IIIIZIIIIIII",
"IIZIIIIIIIII",
"IIIZIIIIIIII",
"ZIIIIIIIIIII",
"IZIIIIIII... | [
-1,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972216 | [
-0.13481449337706808,
-0.09125046950375937,
-0.028463240667156955,
-0.2048977980645706,
0.0658760941561959,
-0.027593696410604884,
0.05504733802035046,
-0.19644995205484272,
-0.0867611013453599,
-0.05203035528621828,
0.1347042266019476,
3.1559381331732026,
-0.005532604559321544,
0.08259236... | {
"n_parameters": 18,
"n_qubits": 12,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 35 |
117d5eadcb002c843d1e10097e462227 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [23, 15], "expectation_value": -3.9991448582839038, "params": null, "bitstrings": ["101000", "110000"], "total_optimization_steps": 28, "probabilities": [0.06552908063149088, 0.933866261433082], "optimization_time": 19.66351056098938} | 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(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "101000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(1.4479777882315188) q[0];
rz(-0.0410635451729493) q[0];
rx(1.6707270756630017) q[1];
rz(-0.5025707057789535) q[1];
rx(0.12191439196254802) q[2];
rz(-0.10535812139801859) q[2];
rx(-0.17080179574029059) q[3];
rz(0.36643007906481095) q[3];
rx(0.12191439196254804) q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"IZIIIZ",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-0.5,
0,
0,
0
] | 0.975636 | [
1.447977788231519,
-0.13929152858914753,
1.670727075663002,
0.12191439196254804,
0.2784167354321591,
-0.1708017957402906,
0.6155213340906953,
0.34082768408182945,
0.07876221148488821,
-0.5482503076417033,
0.39134103961369215,
-0.49818251005176784,
-0.7675497136603552,
-0.7265583543796119,
... | {
"n_parameters": 27,
"n_qubits": 6,
"optimal_eigenvalue": -3.0625,
"target_ratio": 0.97,
"target_value": -2.970625
} | 11 |
57ee338fb11c54f5732d695ad617aa60 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "s... | {"states": [510, 255], "expectation_value": -17.870381881608523, "params": [[[-0.0025, -0.0056], [-0.0051, 0.4723], [-0.0024000000000000002, 0.0034000000000000002], [-0.0025, 0.0033], [0.0036000000000000003, -0.0021000000000000003], [-0.0028, 0.0029000000000000002], [0.0018000000000000002, -0.0018000000000000002], [-1.... | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(2)) + -3.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(5) ... | 15 | 9 | 3 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.026037201523532453) q[0];
ry(0.07677635512812162) q[1];
ry(0.012602255190097979) q[2];
ry(0.026037201523532453) q[3];
ry(-0.020069688422389816) q[4];
ry(0.0025937168665490853) q[5];
ry(0.03728218439050954) q[6];
ry(-1.5068054265156994) q[7];
ry(0.9901545258385747) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIIIIZI",
"ZZIIIIIII",
"IZIIIIZII",
"IZIIIZIII",
"IIIIZIIZI",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"ZIZIIIIII",
"IIZIIIZII",
"IZZIIIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIIIZI",
"... | [
-0.75,
1,
-0.75,
-1.25,
-1.5,
-0.25,
-1.25,
-0.25,
-3.25,
-0.5,
-0.25,
-1,
-0.75,
-1,
-1.25,
-0.75,
-0.75,
-1.75,
-0.75,
-0.5,
-1,
-0.25,
-2,
-2.75,
-0.75,
-0.25,
2.25,
0.5,
4.25
] | 0.9701 | [
0.026037201523532453,
0.07677635512812162,
0.012602255190097979,
-0.020069688422389816,
0.0025937168665490853,
0.03728218439050954,
-1.5068054265156994,
0.9901545258385747,
0.06705241330472257,
0.5298011616617547,
0.0028943982304770015,
0.0064044464684036954,
0.004155345700322215,
-0.00905... | {
"n_parameters": 47,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 73 |
3ab147cc948c972495cc9d6b1a04d6d2 | 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": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [33, 41], "expectation_value": -2.8254108287435127, "params": [0.2977, 0.29650000000000004, 0.1028, 0.1072, 0.3015, 0.2999, 0.0969, 0.0944, 0.0067, 0.006900000000000001, 0.298, 0.2876, 0.30410000000000004, 0.2992, 0.10360000000000001, 0.1075, 0.2903, 0.2716, 0.098, 0.0976, 0.0073, 0.0044, 0.29460000000000003... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(3) | 14 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["001011", "000111", "010110", "011010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.2617382474824059) q[0];
rz(-0.25556683543857517) q[0];
rx(3.2549553359388126) q[1];
rz(-0.1904150377377148) q[1];
rx(0.11533762007237594) q[2];
rz(0.15040563274986068) q[2];
rx(-0.11428203016202747) q[3];
rz(0.06697334278189641) q[3];
rx(3.1542430010311207) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"ZZIIII",
"ZIIIZI",
"IZIZII",
"IZZIII",
"IIZZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.977185 | [
-0.2617382474824059,
-0.33943598223353566,
3.2549553359388126,
-0.1904150377377148,
0.11533762007237594,
0.15040563274986068,
-0.11428203016202747,
0.06697334278189641,
3.1542430010311207,
0.320444768261287,
3.301363365899691,
-0.4991032485906577,
3.212741703886446,
-0.18414658324060862,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 28 |
100d4b419d8da1535c186f77ffcb30e8 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [346, 345], "expectation_value": -57.87504808344021, "params": [[[1.1619000000000002, 0.1378], [0.4219, 0.1328], [1.1946, 0.5226000000000001], [0.3398, 1.084], [0.3534, 1.1934], [0.38130000000000003, 0.09000000000000001], [0.2862, 1.1911], [1.192, 1.1879], [1.1822000000000001, 1.1985000000000001]], [[0.26730... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(8) @ Z(3)) + 5.5 * Z(0) + 7.5 * Z(1) + 21.0 * Z(2) + 6.5 * Z(3) + 14.5 * Z(4) + 3.5 * Z(6) ... | 15 | 9 | 2 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["010100110"], "largest_eigenvalue": 136.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.7696939129738952) q[0];
ry(0.5548312409417336) q[1];
ry(0.4665934893217446) q[2];
ry(0.015925264983345087) q[3];
ry(0.3940395967314559) q[4];
ry(-0.10537755285551362) q[5];
ry(0.13365733830920692) q[6];
ry(0.4665934893217446) q[7];
ry(0.06460319421955536) q[8];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIZIZIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIIIIZ",
"ZIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
5.5,
7.5,
21,
6.5,
14.5,
3.5,
14.5,
-3.5,
0.5
] | 0.971456 | [
0.7696939129738952,
0.5548312409417336,
0.4665934893217446,
0.015925264983345087,
0.3940395967314559,
-0.10537755285551362,
0.13365733830920692,
0.06460319421955536,
-0.053599660869413764,
-0.023257838441696606,
-0.32033192720886494,
-0.02435529570801398,
0.5825692944786037,
0.097427727417... | {
"n_parameters": 70,
"n_qubits": 9,
"optimal_eigenvalue": -84,
"target_ratio": 0.97,
"target_value": -81.48
} | 107 |
918d0720354f72593c99e149eea5ed01 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [1982, 958], "expectation_value": -1.9080889081886232, "params": [1.0922, 0.009600000000000001, 1.4955, 0.0035, 2.3105, 0.0064, 2.3022, 0.0045000000000000005, 2.3039, 0.0029000000000000002, 1.0969, 0.008, 2.3033, 0.0046, 2.3033, 0.0059, 1.7064000000000001, 0.0086, 2.3005, 0.009600000000000001, 2.300400000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 18 | 12 | 1 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 19, "first_excited_energy": -2.9375, "smallest_bitstrings": ["001001010001", "1000010100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.11100341472157638) q[0];
ry(-0.11280279679784128) q[1];
ry(-0.20974393272431618) q[2];
ry(-0.1349667402194078) q[3];
ry(0.3439396431740829) q[4];
ry(0.530047394115224) q[5];
ry(0.3471431189969528) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIIZZZIII",
"IIIIIZIZZIII",
"IIIIIZZIZIII",
"IIIIIZZZIIII",
"IIIIIZZZZIII",
"IIIIIIIIZIIZ",
"IIIIZIIIIIIZ",
"IIIZIIIII... | [
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,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,... | 0.970894 | [
-0.11100341472157638,
-0.11280279679784128,
-0.20974393272431618,
-0.1349667402194078,
0.3439396431740829,
0.530047394115224,
0.3471431189969528,
-0.015116441477203271,
-0.03682652652668659,
0.13420639771524737,
-0.3947322486300181,
0.9588753644970154,
1.1356833754499724,
-0.40692746001699... | {
"n_parameters": 42,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 39 |
4d70328aecc8c1ea3157fc10838636c1 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [3, 7], "expectation_value": -3.4032564689793654, "params": [[[1.1573, 0.0032], [1.0924, 0.0006000000000000001], [1.1696, 0.0057], [1.088, 0.005200000000000001], [1.5844, 0.0058000000000000005], [1.5982, 0.0032], [1.5943, 0.0013000000000000002]]], "bitstrings": ["1111100", "1111000"], "total_optimization_ste... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (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 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.027915315044976848) q[0];
rz(0.9079317232921404) q[0];
rx(-0.075741799279953) q[1];
rz(0.40344095680944037) q[1];
rx(-0.19726492599124124) q[2];
rz(0.3090192037444801) q[2];
rx(-0.054457467281475554) q[3];
rz(0.31152701050214304) q[3];
rx(0.980611838329351) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
-3.5,
-3.25,
-3.25,
-3.5,
-3,
-3,
-3
] | 0.978518 | [
-0.02791531504497685,
0.7987750073775817,
-0.075741799279953,
0.1807703503826541,
-0.1972649259912412,
0.22315061411334475,
-0.05445746728147556,
0.17837210837707032,
0.980611838329351,
0.17196108918343747,
0.6762345045023291,
0.17168297010729175,
0.779897852478124,
-0.09894333872144807,
... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 17 |
d6547d8d1b2ca3acd846543e0c7a6068 | 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": [350, 348], "expectation_value": -84.50090135606726, "params": [0.0023, 0.0039000000000000003, 2.5972, 0.0049, 0.6172000000000001, 0.009600000000000001, 2.6042, 0.0019, 0.0023, 0.0098, 2.5898000000000003, 0.0016, 2.5895, 0.0029000000000000002, 2.6041000000000003, 0.0033, 1.5563, 0.0063, 0.0026000000000000003... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(5) @ Z(8)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(7) @ Z(5)) + 5.5 * Z(1) + 0.5 * Z(2) + -4.5 * Z(4) + 5.5 * Z(3) + 23.0 * Z(6) + 10.5 * Z(8)... | 18 | 10 | 1 | {"smallest_eigenvalues": [-103.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -98.0, "smallest_bitstrings": ["1010100011"], "largest_eigenvalue": 191.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.06034020540812974) q[0];
rz(0.5796656682343446) q[0];
rx(2.890853307394696) q[1];
rz(-0.11896105306214333) q[1];
rx(0.08303132772523722) q[2];
rz(0.3007389063834668) q[2];
rx(3.1802384254194274) q[3];
rz(-0.15663275246738864) q[3];
rx(-0.06034020540812973) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZZIII",
"IIIZIIIIZI",
"IZIZIIIIII",
"IIIIZIZIII",
"IIIZZIIIII",
"IZIIZIIIII",
"IIZIIIIZII",
"IIZZIIIIII",
"IZZIIIIIII",
"IIZIZIIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IZIIIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIIIIIIIZ"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
5.5,
0.5,
-4.5,
5.5,
23,
10.5,
22.5,
21,
-10.5,
-14
] | 0.972269 | [
-0.06034020540812973,
0.5350622409357828,
2.890853307394696,
-0.11896105306214333,
0.08303132772523722,
0.3007389063834668,
3.1802384254194274,
-0.15663275246738864,
0.2237237847557491,
3.301098072272068,
-0.07660295334472914,
2.8407853584970297,
-0.23377882584170742,
2.9994094078591877,
... | {
"n_parameters": 28,
"n_qubits": 10,
"optimal_eigenvalue": -103,
"target_ratio": 0.97,
"target_value": -99.91
} | 10 |
8abcecb9be692ba9d31a27398366ffa4 | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [33, 1], "expectation_value": -0.48978153952450704, "params": [[-0.0839], [0.0776]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.011019216870757468, 0.011871690580684859], "optimization_time": 2.276228189468384} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @... | 1 | 7 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5490827494225263) q[0];
rz(-pi) q[1];
ry(-0.28233305796915187) q[1];
h q[2];
ry(-1.5490827494225263) q[2];
h q[3];
ry(-1.5490827494225263) q[3];
h q[4];
ry(-1.5490827494225263) q[4];
h q[5];
ry(-1.5490827494225263) q[5];
h q[6];
ry(1.5893740482243686) q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIIZ",
"IIZIZII",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
-0.75,
2,
-0.25,
0.75,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
1.75
] | 0.997733 | [
1.5893740482243686,
-1.5490827494225263,
-1.8450825844559562,
-0.01609360061618495
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 1 |
d4d2041cd2410ded697949cce479b1e1 | 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": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 10}, {"capacity": 2, "source": 1, "target"... | {"states": [1024, 1023], "expectation_value": -19.27912200700881, "params": [[[0.0119, 0.0022], [-0.0027, 0.0021000000000000003], [0.0024000000000000002, -0.0026000000000000003], [0.0011, 0.003], [0.014, -0.0024000000000000002], [0.061500000000000006, -0.0027], [-0.007200000000000001, -0.0028], [0.01, 0.0027], [0.0123,... | -1.0 * (Z(0) @ Z(6)) + -1.0 * (Z(2) @ Z(6)) + 1.25 * (Z(2) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(9) @ Z(2)) + -1.0 * (Z(9) @ Z(1)) + -1.0 * (Z(9) @ Z(3)) + -0.75 * (Z(9) @ Z(7)) + -1.0 * (Z(4) @ Z... | 15 | 11 | 3 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.75, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.11907103865730978) q[0];
ry(0.12275437170091451) q[1];
ry(-0.07998595326439674) q[2];
ry(-0.011550485772001066) q[3];
ry(0.032259555522980626) q[4];
ry(-0.001791567905969002) q[5];
ry(0.0010964561264376615) q[6];
ry(-0.016773702942928737) q[7];
ry(-0.039520997350... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIZIIIIIZ",
"IIIIZIIIZII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIZIIZIII",
"IIIIIIIZZII",
"IIIIIIIZIZI",
"IIIZIIIIIZI",
"IIIZIIIZIII",
"IZIIIIIIZII",
"IZIIIIIIIZI",
"IZIIIIIZIII",
"IZIZIIIIIII",
"IIIIZIZIIII",
"IIIIIIZZIII",
"IZIIIIZIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IIZIIIZII... | [
-1,
-1,
1.25,
-0.25,
-0.75,
-0.5,
-1.25,
-0.5,
-1,
-0.25,
-1,
-1,
-0.75,
-1,
-0.5,
-1.5,
-1,
-0.25,
-0.75,
-1,
-0.75,
-1,
-0.25,
-0.5,
-0.5,
-1,
-0.75,
-1.75,
-0.25,
-0.75,
-0.5,
0.75,
-0.25,
-0.5,
1.75,
-1.75,
3.5,
-0.25
] | 0.972292 | [
-0.11907103865730978,
0.12275437170091451,
-0.07998595326439674,
-0.011550485772001066,
0.032259555522980626,
-0.001791567905969002,
0.0010964561264376615,
-0.016773702942928737,
-0.039520997350032075,
-0.47660985454440685,
-0.023665893855545093,
-0.8031297733469533,
-0.056819730287365505,
... | {
"n_parameters": 62,
"n_qubits": 11,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 45 |
7c460bc18626c899079572daae6e6ba8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"sour... | {"states": [340, 372], "expectation_value": -6.151524709410152, "params": [0.7884, 0.7926000000000001, -0.0057, -0.0015, 0.7888000000000001, 0.783, 0.4716, 0.47390000000000004, 0.786, 0.7944, 0.0026000000000000003, -0.0024000000000000002, 0.7878000000000001, 0.7951, -0.0187, -0.0235, -0.0027, -0.0013000000000000002, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(5) + -1.5 * Z(8) + ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["010001011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(2.7364477056620293) q[0];
ry(2.8583729188912814) q[0];
rz(-0.40878980342755256) q[0];
rz(2.421538330715597) q[1];
ry(0.007068477743285315) q[1];
rz(-0.7714707368213896) q[1];
rz(-2.4752191275255413) q[2];
ry(2.823101435804918) q[2];
rz(0.7911321136341583) q[2];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IIIIIZIZI",
"IIIZIZIII",
"ZIIIIZIII",
"IIZIIIIZI",
"IZIIIZIII",
"IZIIIIZII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-1.5,
0,
-0.5,
0,
0
] | 0.970466 | [
1.0049792171636693,
0.15047734349188882,
-0.1140989428746543,
0.7838397035561001,
1.1350145499052142,
0.8412572271535586,
0.09596768968685719,
0.991806803144401,
-0.07607281273787395,
0.4051511769226689,
1.0302500420343619,
0.024553451486869465,
-0.0653856345575219,
-0.7398830796134901,
... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 3 |
1434096e59219230a9a448bfa214dbb8 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 5, "source": 3, "target": 2}, {"capaci... | {"states": [17, 31], "expectation_value": -3.7289682416716032, "params": null, "bitstrings": ["101110", "100000"], "total_optimization_steps": 40, "probabilities": [0.09667736587704383, 0.740450720865255], "optimization_time": 32.80221772193909} | 0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(3) + 0.5 * Z(1) + -0.75 * Z(2) + 0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 2.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.2564198566378726) q[0];
cx q[5], q[0];
rz(-0.3146460561418274) q[0];
rx(-1.6223542204331562) q[0];
cx q[5], q[3];
rz(-0.31464605614182717) q[3];
cx q[5], q[3];
cx q[3], q[1];
rz(-0.11063528912386725) q[... | 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];\ncry(1.5486) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"ZIIIIZ",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZZIII",
"IZIZII",
"ZIIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.25,
-0.25,
-0.5,
-1.25,
-1,
-0.5,
0,
-0.25,
0,
0.5,
-0.75,
0.5
] | 0.970556 | [
0.2564198566378726,
-0.31464605614182717,
-0.11063528912386725,
-0.22235587717504138,
0.043180038727850936,
0.9834780824833873,
0.5361200627626684,
0.807027611931993,
-1.6223542204331562,
0.5313479849503246,
-0.6614372268591644,
-0.18109175624279295,
-0.5344228021086342,
0.0592722986641893... | {
"n_parameters": 25,
"n_qubits": 6,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 114 |
a11609c04bedd6222d4b4ded1bbb7721 | 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": 4, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": ... | {"states": [1344, 1348], "expectation_value": -24.262462768037075, "params": [-0.006900000000000001, 0.0005, 0.24960000000000002, 0.22760000000000002, -0.0032, 0.0088, 0.39630000000000004, 0.3902, 0.0009000000000000001, 0.004200000000000001, 0.3927, 0.3941, 0.0006000000000000001, 0.0053, 0.0002, 0.0035, -0.0011, 0.0062... | -1.0 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(0)) + -1.0 * (Z(8) @ Z(4)) + -1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(10) @ Z(4)) + -1.25 * (Z(10) @ Z(8)) + -1.5 * (Z(1) @ Z(10)) + -1.25 * (Z(11) @ Z(4)) + -0.25 * (Z(11) @ Z(8)) + -0.75 * (Z(11) @ Z(1)) + -0.25 * (Z(5) @ Z(10)) + 4.0 * (Z(3) @ Z(0)) + -1.5 * ... | 14 | 12 | 4 | {"smallest_eigenvalues": [-24.75, -24.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -23.75, "smallest_bitstrings": ["111010111011", "101010111011"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.04341353099908913) q[0];
rz(1.4803452010489657) q[0];
rx(-1.0483609027463732) q[1];
rz(1.416354627749353) q[1];
rx(-0.11806860400706572) q[2];
rz(2.3454650424391623) q[2];
rx(0.5062560721823482) q[3];
rz(1.0294299295091633) q[3];
rx(-0.026438808627606454) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIZIZIIII",
"IIIIIZIIIIIZ",
"IIIZIIIZIIII",
"IIIZIIIIIIIZ",
"IZIIIIIZIIII",
"IZIZIIIIIIII",
"IZIIIIIIIIZI",
"ZIIIIIIZIIII",
"ZIIZIIIIIIII",
"ZIIIIIIIIIZI",
"IZIIIIZIIIII",
"IIIIIIIIZIIZ",
"IIIIIIZIZIII",
"IIZIIZIIIIII",
"ZIZIIIIIIIII",
"IIZIIIZIIIII",
"IIZIIIIIZ... | [
-1,
-0.75,
-1.5,
-1,
-1.25,
-0.75,
-1.25,
-1.5,
-1.25,
-0.25,
-0.75,
-0.25,
4,
-1.5,
-0.5,
-0.25,
-1.25,
-1.25,
-1.5,
-0.75,
-1.5,
-1,
-0.75,
-0.75,
-0.25,
-2.75,
-0.25,
-0.25,
0.75,
-0.5,
2.25,
0.75,
0.5,
0.5,
1.5,
-1.25,
-1.25
] | 0.971473 | [
-0.04341353099908914,
-0.09045112574593189,
-1.0483609027463732,
-0.15444169904554422,
-0.11806860400706572,
0.7746687156442645,
0.5062560721823482,
-0.5413663972857328,
-0.026438808627606458,
0.8460889602695133,
0.16378967260581861,
-0.10406974432254994,
-0.09283107934346807,
0.1111966216... | {
"n_parameters": 106,
"n_qubits": 12,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 81 |
0792eb042922f55ffd0239825c818aef | 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": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"sour... | {"states": [295, 293], "expectation_value": -2.3639631437559507, "params": [0.30360000000000004, 0.29760000000000003, 0.054900000000000004, 0.053200000000000004, 0.2877, 0.27240000000000003, 0.2943, 0.3002, 0.0342, 0.0352, 0.0415, 0.0422, 0.30310000000000004, 0.3009, 0.231, 0.2217, 0.30110000000000003, 0.2975, 0.2957, ... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + -0.5 * Z(7) + 0.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(1) + -1.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(6) + 0.0 * Z(8) | 14 | 9 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -3.0, "smallest_bitstrings": ["011100011", "011011010", "011001011", "111011000", "101111000", "000111110", "100111100", "010011110", "011110010", "11001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.23835134343866082) q[0];
rz(pi/2) q[0];
ry(-0.05126389032387131) q[1];
ry(0.10793978998008281) q[2];
ry(0.46734289974249105) q[3];
ry(-0.1793795876873041) q[4];
ry(0.050183122707518624) q[5];
ry(0.3752536392858361) q[6];
ry(-0.0899226109227538) q[7];
ry(0.654079569... | 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIIZ",
"IIIIIZIZI",
"IIIZIZIII",
"IIIZIIIZI",
"IZIIZIIII",
"IIIIZIIZI",
"IIIZIIZII",
"IIZIIIZII",
"ZIIIZIIII",
"IZIIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIZIIII",
"IIIIIIZII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
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,
-0.5,
0,
0
] | 0.97439 | [
0.23835134343866082,
-0.05126389032387131,
0.10793978998008281,
0.46734289974249105,
-0.1793795876873041,
0.050183122707518624,
0.3752536392858361,
-0.0899226109227538,
0.6540795697793899,
0.11934965955886451,
-0.004254953253948687,
-0.13522994518497503,
0.37169257046001325,
0.044709055575... | {
"n_parameters": 105,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 16 |
14a30531cef014d6a0823efcf74f344a | 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": [46, 47], "expectation_value": -51.89835211208636, "params": [[[0.7015, 0.1666], [0.3433, 0.1459], [-0.0845, 0.097], [-0.1037, 0.2757], [0.6987, 0.3562], [0.1388, 0.5284], [0.32170000000000004, 0.6904], [0.0497, 0.6907], [0.3206, 0.5759000000000001], [0.3972, 0.618]], [[0.7015, 0.19360000000000002], [0.19090... | 7.5 * (Z(0) @ Z(4)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(6) @ Z(0)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(2) @ Z(7)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(9) @ Z(8)) + 17.5 * Z(4) + 3.0 * Z(0) + 3.5 * Z(3) + 13.0 * Z(6) + 1.5 * Z(5) + -1.5 * Z(7) + -4.5 * Z(2) + 8.0 * Z(8) + 8.5 * Z(9) + -... | 15 | 10 | 3 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.5, "smallest_bitstrings": ["1111010000"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.7558388323797643) q[0];
ry(0.14729470261624988) q[1];
ry(0.7027640367681715) q[2];
ry(0.4710511249042668) q[3];
ry(1.1462985235297745) q[4];
ry(0.15302624792483388) q[5];
ry(0.18435591790178074) q[6];
ry(-0.00972569545410961) q[7];
ry(0.78001463061328) q[8];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIZIZIIII",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IIZIIIIZII",
"IZIIIIZIII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIZIIII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIIIIIZII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIZI"
] | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
17.5,
3,
3.5,
13,
1.5,
-1.5,
-4.5,
8,
8.5,
-11
] | 0.971172 | [
0.7558388323797643,
0.14729470261624988,
0.7027640367681715,
0.4710511249042668,
1.1462985235297745,
0.15302624792483388,
0.18435591790178074,
-0.00972569545410961,
0.78001463061328,
0.26696123201150035,
-0.07489290818081919,
-0.04899340984145244,
0.1228350574841894,
0.11333498765892827,
... | {
"n_parameters": 59,
"n_qubits": 10,
"optimal_eigenvalue": -90.5,
"target_ratio": 0.97,
"target_value": -87.785
} | 90 |
89c7521d0f4383e77e73ec35feb14209 | 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": 8, "source": 0, "t... | {"states": [205, 109], "expectation_value": -17.385242478789035, "params": [[-0.0413, 0.0057], [0.0821, 0.068]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.012843745368203832, 0.013841566263164394], "optimization_time": 3.012580633163452} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 8.5 * Z(0) + 11.0 * Z(2) + 13.0 * Z(1) + 2.0 * Z(3) + 7.5 * Z(4) + 12.5 * Z(5)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 123.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(1.525456717572838e-08) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(1.525456717572838e-08) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(1.525456717572838e-08) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(1.525456717572838e-08) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
8.5,
11,
13,
2,
7.5,
12.5,
7.5,
11.5
] | 0.866667 | [
1.525456717572838e-8,
-1.5707962774125008,
1.5707963024967688,
1.570796304761946,
-1.5707963129315194,
1.5707963204272015,
1.570796296373383,
-1.5707963391592898,
-1.5707963344480793
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -60,
"target_ratio": 0.97,
"target_value": -58.199999999999996
} | 248 |
812d7dff982c08f93fe24d4e593d247f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"sour... | {"states": [184, 248], "expectation_value": -3.890270062318764, "params": [[[0.19890000000000002, 0.35950000000000004], [0.911, 0.0011], [0.8472000000000001, 0.0037], [0.8913000000000001, 0.0036000000000000003], [0.9058, 0.0035], [0.9098, 0.0017000000000000001], [0.20700000000000002, -0.34040000000000004], [-0.00340000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + -0.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -2.0 * Z(7) + 0.0 * Z(1) + -1.0 * Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.5992442701408711) q[0];
ry(0.050979121032178214) q[0];
rz(-1.0950541430372271) q[0];
rz(-1.8477084311556906) q[1];
ry(3.07712227384855) q[1];
rz(1.4650086451814053) q[1];
rz(1.858864536029401) q[2];
ry(2.9943157338081) q[2];
rz(-1.1024496747154302) q[2];
rz(2.34780... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIZIIIIZ",
"IZIZIIIII",
"IZIIIIIZI",
"IZIIIIZII",
"IIZIIIZII",
"ZIIIIZIII",
"ZZIIIIIII",
"ZIIIIIZII",
"IZIIZIIII",
"IIZIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-2,
0,
-1,
-0.5,
-1,
-0.5
] | 0.982421 | [
0.05808086664174987,
-0.20076483863313102,
1.8558574991001366,
0.018061343837095567,
1.984729036133786,
0.04906330095425014,
1.7081527767235218,
0.050794150251649225,
1.0906809548117333,
-0.0718038282434961,
1.236906033592066,
-0.22745951604379988,
0.0407384000876191,
-0.6699985029616912,
... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 20 |
6946fbda84d92871847bf53596399897 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [1, 17], "expectation_value": -11.166162975113258, "params": null, "bitstrings": ["111110", "101110"], "total_optimization_steps": 19, "probabilities": [0.43051361361722545, 0.4999999676316289], "optimization_time": 9.816731929779053} | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + 3.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.25 * Z(1) + -0.5 * Z(2) + 2.75 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["111110", "101110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.551286213379778) q[0];
ry(0.14995386152144122) q[0];
rz(-1.157952155487887) q[0];
rz(1.7949694323876582) q[1];
ry(0.8600732688310629) q[1];
rz(-1.5619298147562424) q[1];
rz(-1.494414036029636) q[2];
ry(0.25948250070177714) q[2];
rz(2.109430114529392) q[2];
rz(-1.99... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IIZZII",
"IZIZII",
"ZIIIIZ",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.25,
-1.5,
-0.25,
-0.25,
-0.5,
3,
-0.25,
-1.25,
-0.25,
-1,
0.25,
-0.5,
2.75
] | 0.983075 | [
0.05760476468977301,
0.19533053854689783,
0.2935220690165271,
0.21247908078017866,
-0.33585903240393633,
0.2959684062839665,
-0.34014046378460583,
0.13274283234330986,
-0.10404306296453697,
0.20649247381463964,
0.9880477207375283,
-0.024097524940315328,
0.1102325674469585,
0.19708286430355... | {
"n_parameters": 43,
"n_qubits": 6,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 8 |
1600da48c768639b2cb0d1bea5b2382e | 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": 3}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [253, 255], "expectation_value": -0.14397925401329034, "params": [[-0.0158, -0.0738], [-0.025400000000000002, 0.0654]], "bitstrings": ["100000010", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0022809552562724237, 0.0022823603736057962], "optimization_time": 3.1828439235687256} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(7)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000110", "100000010", "100000000", "100010110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.038072023806543384) q[0];
ry(-1.4527524474718614) q[1];
ry(-0.032233288270160754) q[2];
ry(-0.0832943436119534) q[3];
ry(-0.11874845093962502) q[4];
ry(-0.10854964528173822) q[5];
ry(0.0772935131286506) q[6];
ry(-0.16161809526456616) q[7];
ry(-0.011203197392025162... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IZIIIIIIZ",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIIZIZII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIIZIZIII",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII"
] | [
-0.25,
-0.5,
-0.5,
1,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
0,
-0.25,
0.25,
0.5,
0,
-0.5,
0.75
] | 0.970487 | [
-0.038072023806543384,
-1.4527524474718614,
-0.032233288270160754,
-0.0832943436119534,
-0.11874845093962502,
-0.10854964528173822,
0.0772935131286506,
-0.16161809526456616,
-0.011203197392025162,
0.07469616500222398,
1.832898403992749,
1.3201883856362548,
-0.04354490294058532,
0.055636690... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 27 |
8430149233521890326 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3, 4, 5], [1, 2, 3, 5], [0, 3, 5], [0, 4, 5], [2, 4, 5], [2, 3, 4]]} | {"states": [13, 7], "expectation_value": -1.5887211853497545, "params": null, "bitstrings": ["110010", "111000"], "total_optimization_steps": 27, "probabilities": [0.11217838379091372, 0.7169094840392045], "optimization_time": 28.61183524131775} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.41666666666666663 * (Z(5) @ Z(4)) + 0.25 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.25 * (Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.7500000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5833333333333333, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 5.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.27059089013438353) q[0];
h q[1];
ry(-0.19377901187632945) q[1];
h q[2];
ry(-2.8710903482545715) q[3];
rz(-pi) q[3];
h q[4];
ry(-0.3403703007899658) q[4];
cx q[2], q[4];
ry(0.3403703007899658) q[4];
cx q[2], q[4];
ry(-0.20977718142203314) q[2];
cx q[4], q[2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIZIZI",
"IZZIII",
"IZIIZI",
"ZIZIII",
"ZIIIZI",
"ZZIIII",
"IIZZII",
"IIIZZI",
"IZIZII",
"ZIIZII",
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"IIZIII",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIIIIZ"
] | [
0.16666666666666666,
0.25,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.41666666666666663,
0.25,
0.08333333333333333,
0.3333333333333333,
0.25,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5833333333333335,
0.24999999999999994,
0.6250000000000001,
... | 0.97362 | [
1.653652392976723,
1.0276558019735758,
-0.6807406015799315,
0.5452764389721979,
-0.5411817802687671,
-0.4195543628440663,
0.7990511419929146,
-0.49594251163003095,
0.5841667003386877,
-0.5351361541393662,
0.5877178352209745,
-0.5875550935690131,
-0.672116976417354,
-0.3875580237526589,
-... | {
"n_parameters": 26,
"n_qubits": 6,
"optimal_eigenvalue": -1.7500000000000002,
"target_ratio": 0.97,
"target_value": -1.6975000000000002
} | 7 |
-4682615469667745155 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 4, 5, 6], [0, 5, 7], [8, 2, 5, 7], [1, 2, 5, 6], [8, 1, 2, 3], [0, 1, 2, 4], [3, 7], [0, 1, 3, 4, 5, 8], [4, 7], [0, 2, 3, 5], [1, 2, 5, 7], [0, 8, 3, 6], [0, 2, 6, 7]]} | {"states": [125, 455], "expectation_value": -1.6715577618950674, "params": [[0.3345], [-0.3242]], "bitstrings": ["110000010", "000111000"], "total_optimization_steps": 40, "probabilities": [0.007614974050688016, 0.007712282789344519], "optimization_time": 4.241655111312866} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333334 * (Z(5) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.1333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.2999999999999994], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.233333333333334, "smallest_bitstrings": ["000111000"], "largest_eigenvalue": 12.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.05956393042952249) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.05956393042952249) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.05956393042952249) q[4];
cx q[0], q[4];
h q[5];
cx q[1], q[5];
rz(0.007411984841912416) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.3333333333333333,
0.08333333333333334,
0.13333333333333333,
0.21666666666666667,
0.05,
0.13333333333333333,
0.08333333333333333,
0.25,
0.5,
0.3333333333333333,
0.08333333333333333,
0.11666666666666667,
0.116666666... | 0.750738 | [
0.05956393042952249,
0.007411984841912416,
0.020545568205141328,
-0.010396514519703068,
0.4090016897466049,
0.15577924014756975,
0.043360163439456485,
1.2108273640282532,
0.06331276139140452,
-0.7309815099056448,
0.07103625095453397,
1.2403873586764922,
1.4968063177422104,
-0.0434466393891... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -3.2999999999999994,
"target_ratio": 0.97,
"target_value": -3.200999999999999
} | 424 |
8d8fa5ee6a82ad17d0d6120aef30e861 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [49, 1], "expectation_value": -1.2488729302115114, "params": [[-0.0437, -0.07880000000000001], [0.046400000000000004, 0.06960000000000001]], "bitstrings": ["1001110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.013364706061058277, 0.014618889330364005], "optimization_time": 2.273996353149... | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -1.5 * Z(4) + 2.25 * Z(6) + 1.5 * Z(1) + -1.25 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["1011110", "1111110"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.4347318003186254) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.16558273416228064) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(0.026421426916743207) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(-0.43592444188839763) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIIIZZI",
"IIZIIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
-0.5,
-1,
-0.75,
-0.25,
2.5,
-0.75,
-0.75,
-1.25,
-1,
-0.25,
0.25,
-1.5,
2.25,
1.5,
-1.25
] | 0.970144 | [
-0.4347318003186254,
-0.16558273416228064,
0.026421426916743207,
-0.5217462601275333,
0.4586231555137733,
-0.43592444188839763,
-0.33453436399480646,
-0.03001001646313847,
-0.1127609036020698,
0.2503598948291178,
-1.103129003830037,
-0.7059981088306357,
-0.21330762283364263,
0.040023523320... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 182 |
2653443677327490875 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 3, 4, 5, 6, 8, 9, 11], [1, 2, 4, 6, 7, 8, 9, 10, 11], [1, 2, 3, 4, 6, 7, 8, 11], [0, 1, 4, 5, 6, 8, 9, 10, 11], [1, 2, 3, 7, 10], [0, 2, 3, 4, 5, 6, 7, 8, 9, 10], [2, 4, 5, 6, 7, 8, 9, 11], [1, 4, 5, 6, 7, 11], [1, 3, 4, 6, 7, 8, 9, 11], [0, 1, ... | {"states": [1518, 2030], "expectation_value": -2.7613464098137555, "params": [[[0.5754, 0.0078000000000000005], [3.1386000000000003, 0.0078000000000000005], [1.6698000000000002, 0.0001], [3.1396, 0.004200000000000001], [3.1386000000000003, 0.0033], [3.1445000000000003, 0.0081], [2.0214000000000003, 0.0059], [0.61230000... | 0.09007936507936508 * (Z(0) @ Z(1)) + 0.19404761904761902 * (Z(2) @ Z(1)) + 0.08888888888888888 * (Z(2) @ Z(0)) + 0.1964285714285714 * (Z(3) @ Z(1)) + 0.053968253968253964 * (Z(3) @ Z(0)) + 0.17579365079365078 * (Z(3) @ Z(2)) + 0.13968253968253969 * (Z(4) @ Z(1)) + 0.10119047619047619 * (Z(4) @ Z(0)) + 0.10515873015873... | 1 | 12 | 1 | {"smallest_eigenvalues": [-3.02896825396825], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0067460317460313, "smallest_bitstrings": ["100000010001"], "largest_eigenvalue": 16.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.22859126976929997) q[0];
rz(0.04550368793682733) q[0];
rx(3.1919710751342616) q[1];
rz(0.04550368793682733) q[1];
rx(2.1393307473619925) q[2];
rz(0.04727857837896435) q[2];
rx(3.0334039391415044) q[3];
rz(-0.4440450518942932) q[3];
rx(3.1919710751342616) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIIZII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIZIII... | [
0.09007936507936508,
0.19404761904761902,
0.08888888888888888,
0.1964285714285714,
0.053968253968253964,
0.17579365079365078,
0.13968253968253969,
0.10119047619047619,
0.10515873015873015,
0.0896825396825397,
0.14007936507936508,
0.08333333333333334,
0.14126984126984127,
0.1539682539682539... | 0.972498 | [
0.22859126976929997,
0.04550368793682733,
3.1919710751342616,
2.1393307473619925,
0.04727857837896435,
3.0334039391415044,
-0.4440450518942932,
-0.2847199247454798,
3.19161878296368,
-0.1220283786561578,
2.6673105119332527,
0.2590303181703623,
0.22180426235973566,
-0.23105159916255302,
3... | {
"n_parameters": 21,
"n_qubits": 12,
"optimal_eigenvalue": -3.02896825396825,
"target_ratio": 0.97,
"target_value": -2.9380992063492024
} | 7 |
478b0d0e79aaa383d09e0a7385a1b956 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 4, "ta... | {"states": [95, 127], "expectation_value": -10.320828842704481, "params": [-0.3075, 0.37210000000000004, 0.15130000000000002, 0.39680000000000004, -0.051000000000000004, 1.0113, 0.4697, 0.8569, -0.48910000000000003, 1.4568, 0.5255000000000001, 0.9945, -0.5465, 0.1951, -0.5117, 0.07980000000000001, -0.5462, 0.2263, -0.5... | -1.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(5)) + -2.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 1.0 * Z(0) + -1.0 * Z(1) + 0.5 * Z(5) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) | 6 | 7 | 3 | {"smallest_eigenvalues": [-12.5, -12.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.5, "smallest_bitstrings": ["1100000", "0000000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-1.5707963469701147) q[1];
cx q[0], q[1];
rz(0.6829935915551051) q[0];
rx(-0.9110572799048245) q[0];
rz(0.6829935705560533) q[1];
rx(-0.9110572799048247) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(-0.767929826216009) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIZII",
"IZIZIII",
"IIIZZII",
"IZZIIII",
"IIZZIII",
"ZZIIIII",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-1.5,
-2,
-2.5,
0.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.567703 | [
-1.5707963469701147,
-0.767929826216009,
-0.8228040866338426,
-0.1486820224273318,
0.6829935915551049,
0.6829935705560533,
-0.9110572799048248
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 188 |
cde6b48ed870286595c1455af7aff8bd | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [170, 85], "expectation_value": -0.006874313523657945, "params": [[0.06720000000000001], [-0.051500000000000004]], "bitstrings": ["01010101", "10101010"], "total_optimization_steps": 10, "probabilities": [0.0040156532949344615, 0.004015653294934463], "optimization_time": 4.033083200454712} | 0.25 * (Z(0) @ Z(1)) + 0.0006944444444444445 * (Z(2) @ Z(0)) + 0.0006944444444444445 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0020833333333333333 * (Z(4) @ Z(0)) + -0.0020833333333333333 * (Z(4) @ Z(2)) + -0.0020833333333333333 * (Z(5) @ Z(1)) + -0.0020833333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00069... | 5 | 8 | 1 | {"smallest_eigenvalues": [-1.0083333333333333, -1.0083333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0055555555555555, "smallest_bitstrings": ["10101010", "01010101"], "largest_eigenvalue": 1.0250000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x1) q[2];
cx q[... | {"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,
0.0006944444444444445,
0.0006944444444444445,
0.25,
-0.0020833333333333333,
-0.0020833333333333333,
-0.0020833333333333333,
-0.0020833333333333333,
0.25,
0.0006944444444444445,
0.0006944444444444445,
-0.0020833333333333333,
0.0006944444444444445,
0.0006944444444444445,
-0.002083333... | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
fadbf4becdcb820e45aa8c382a4bc97a | community_detection | 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": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target... | {"states": [43605, 21930], "expectation_value": -0.022154327634153904, "params": [[-0.0723], [0.07780000000000001]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 10, "probabilities": [1.6679834712014525e-05, 1.6679834712014532e-05], "optimization_time": 12.177752494812012} | 0.25 * (Z(0) @ Z(1)) + -0.00038265306122448983 * (Z(2) @ Z(0)) + -0.00038265306122448983 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.000510204081632653 * (Z(4) @ Z(0)) + -0.000510204081632653 * (Z(4) @ Z(2)) + -0.000510204081632653 * (Z(5) @ Z(1)) + -0.000510204081632653 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.02104591836732], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0210459183672724, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.007525510203893} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.4961747184936534) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.05002483313547751) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.05002483313547751) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.4961747184936534) q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.00038265306122448983,
-0.00038265306122448983,
0.25,
-0.000510204081632653,
-0.000510204081632653,
-0.000510204081632653,
-0.000510204081632653,
0.25,
-0.000510204081632653,
-0.000510204081632653,
-0.0006058673469387755,
-0.000510204081632653,
-0.000510204081632653,
-0.000605867... | 0.979993 | [
-1.4961747184936534,
0.05002483313547751,
0.013200765158208429,
0.027453488225888736,
0.7712288404806994
] | {
"n_parameters": 5,
"n_qubits": 16,
"optimal_eigenvalue": -2.02104591836732,
"target_ratio": 0.97,
"target_value": -1.9604145408163003
} | 24 |
7282702479489441897 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2], [3, 5], [4, 7], [5, 6], [0, 5], [5, 7], [2, 3], [4, 6], [2, 4], [3, 4], [1, 4], [0, 4], [2, 5], [0, 7], [3, 6]]} | {"states": [163, 179], "expectation_value": -3.1023128834844953, "params": null, "bitstrings": ["01011100", "01001100"], "total_optimization_steps": 66, "probabilities": [0.2127050349658993, 0.5109464913263007], "optimization_time": 111.84516477584839} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.5, "smallest_bitstrings": ["11100011", "00001100", "00011100", "10110011", "01001100", "10100011", "01011100", "00101100", "11110011", "11010011"], "largest_eigenvalue"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.09848840852475158) q[0];
rz(1.9358491939502818) q[0];
rx(1.1411267165260939) q[1];
rz(1.7539559691054638) q[1];
rx(0.16604944545979086) q[2];
rz(1.0046673785747213) q[2];
rx(0.9152508005042324) q[3];
rz(1.0975985282514102) q[3];
rx(2.4530704636152203) q[4];
rz(1.71... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIZZI",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"ZIZIIIII",
"ZIIZIIII",
"IZIIZIII",
"IZZIIIII",
"IZIZIIII",
"IIZIIIIZ",
"IIIZIIIZ",
"ZIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.971794 | [
0.09848840852475155,
0.3650528671553852,
1.1411267165260939,
0.18315964231056753,
0.1660494454597909,
-0.5661289482201748,
0.9152508005042321,
-0.47319779854348604,
2.4530704636152203,
0.1458210295246099,
1.8564964709041771,
-0.15446378290048543,
0.23529260749136843,
0.26913862241104003,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 71 |
d0689a6dbeb7a066dbec17f8f325db83 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [3, 1], "expectation_value": -0.2760729559787152, "params": [[0.0349, -0.0683], [-0.061900000000000004, 0.0632]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.00934354648385424, 0.009572698459784338], "optimization_time": 2.0991153717041016} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(6) + -1.0 * Z(1) + 1.0 * Z(4) + 0.75 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.75, "smallest_bitstrings": ["1111000", "1111110", "1111010", "1111100"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.06898382804863952) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.9136619903538868) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(0.5171590410598331) q[3];
cx q[0], q[3];
rz(0.5171590410598332) q[3];
rx(1.1733415603473807) q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IIZIZII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.75,
1.5,
-0.25,
-1,
-0.75,
-1.25,
-0.25,
-0.75,
1.5,
-1,
1,
0.75
] | 0.592362 | [
0.06898382804863952,
0.5171590410598331,
-0.8546453602015381,
0.9136619903538868,
0.22139306930217686,
1.2118619337300773,
-1.3839135840822527,
-1.3195322834720893,
1.1733415603473807
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 208 |
5144181ac27497fdfa9bdb5b8b799630 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 6], "expectation_value": -0.06555083087353289, "params": [[-0.0402, -0.028200000000000003, -0.08020000000000001], [0.055200000000000006, 0.020800000000000003, 0.0673]], "bitstrings": ["110", "001"], "total_optimization_steps": 10, "probabilities": [0.13489474979204846, 0.14147357972018143], "optimization... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 3 | 3 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(x0) q[0];
cx q[2],... | null | {"circuits": [], "gradients": []} | [
"ZIZ",
"ZZI",
"ZII",
"IIZ",
"IZI"
] | [
0.5,
0.5,
-0.5,
0,
0
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
b72451fd8beb69606a84f4be9a392c11 | 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": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, ... | {"states": [128, 1], "expectation_value": -13.249859566697138, "params": null, "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 25, "probabilities": [0.16039986051788002, 0.8124810515768286], "optimization_time": 27.070211172103882} | -1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + 2.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.0, "smallest_bitstrings": ["11111110", "10000010", "11000010"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(4.5847965068196375e-09) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.047144458058862276) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(4.5847965068196375e-09) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(4... | 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(-1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IIIZIZII",
"IZIIIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"IIIZIIZI",
"IIZIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIII... | [
-1,
-1.25,
-0.75,
-0.75,
-0.25,
-1,
-1,
-1,
-0.75,
-1,
-1,
2.75,
-0.75,
-1,
-0.5,
-0.75,
0.75,
-0.25,
0.25,
-3,
1.75,
0.75,
1,
-1.25
] | 0.897762 | [
4.5847965068196375e-9,
-0.047144458058862276,
1.958412113975725e-8,
-0.5570436665027615,
-6.440595128275094e-8,
-5.3799991138860575e-8,
1.5707963359197723,
1.5707963772985278,
-1.5707963090253823,
1.5707963669799336,
1.570796306035255,
-1.570796301813503
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 287 |
-8383149207643838478 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [4, 5], [1, 4], [5, 6], [5, 7], [1, 2], [0, 3]]} | {"states": [204, 196], "expectation_value": 0.02572208865929558, "params": [0.5994, 0.0028, 0.6005, 0.0, 0.604, 0.0028, 0.6022000000000001, 0.0009000000000000001, 0.5972000000000001, 0.007500000000000001, 0.5935, 0.0097, 0.6001000000000001, 0.0049, 0.5994, 0.0057, 0.5956, 0.013600000000000001, 0.5932000000000001, 0.007... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(3) | 6 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["00111011", "11000100"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
ry(-0.1168593180343272) q[2];
cx q[1], q[2];
ry(0.1168593180343272) q[2];
cx q[1], q[2];
ry(1.27743452664494) q[1];
ry(-0.8186036922962693) q[2];
h q[3];
ry(-0.8092632915704292) q[3];
h q[4];
ry(-0.1168593180343272) q[4];
h q[5];
cx q[5], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIIZIIZI",
"IZZIIIII",
"ZIZIIIII",
"IIIIIZZI",
"IIIIZIIZ",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973015 | [
-0.2337186360686544,
1.328529471338759,
-0.566890974687518,
-0.17072008040662423,
1.6303906463768827,
-1.311373334576259,
1.21625714175965,
-0.9183739620317674,
-1.6185265831408584,
-0.10218988938763793,
-0.014936225455027069,
0.7368090510232139,
-0.5034254352175025,
-0.3742060800664895,
... | {
"n_parameters": 48,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 22 |
61e72a7f3bba48b5d0ac6a3978f4cc8b | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "tar... | {"states": [217, 218], "expectation_value": -40.47815299701979, "params": null, "bitstrings": ["100100110", "100100101"], "total_optimization_steps": 100, "probabilities": [0.09004638163920066, 0.16102425564288525], "optimization_time": 166.61989450454712} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 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(1)) + 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(5)) + 4.5 * (Z(8) @ Z(7)) + 8.5 * Z(1) +... | 1 | 9 | 2 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 154.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0483335131627427) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0483335131627427) q[2];
cx q[0], q[2];
rz(1.4825487746828614) q[0];
rx(1.5903212513051308) q[0];
h q[3];
cx q[2], q[3];
rz(0.0483335131627427) q[3];
cx q[2], q[3];
h q... | null | {"matching": "maximum", "extra": "{\"n\": 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(34.778) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"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,
8.5,
5,
10.5,
5,
22,
15,
2,
17,
6
] | 0.974572 | [
0.0483335131627427,
-1.4734969215830827,
1.482548774682861,
-1.630158374978085,
-1.5196549872298504,
-1.6812432412868732,
2.1456031315340165,
-1.51463448411913,
1.8480943215643566,
1.5903212513051306
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -82,
"target_ratio": 0.97,
"target_value": -79.53999999999999
} | 49 |
1022394227404255862 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 5], [2, 4, 5, 6], [0, 3, 5], [3, 6, 7], [1, 3, 4, 6]]} | {"states": [125, 207], "expectation_value": -0.5755848531477747, "params": [[0.3698], [-0.37320000000000003]], "bitstrings": ["10000010", "00110000"], "total_optimization_steps": 40, "probabilities": [0.008497892710512869, 0.008562589022777478], "optimization_time": 1.6966290473937988} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4166666666666667, "smallest_bitstrings": ["00110000"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0037436341984105745) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0037436341984105745) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0037436341984105745) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(0.0037436341984105... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIIZIIZI",
"IIIZIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIZII",
"IZZIIIII",
"IZIZIIII",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIZIII",
"IIIZZIII",
"IZIIZIII",
"ZZIIIIII",
"ZIIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZI... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.1666666... | 0.748228 | [
0.0037436341984105745,
1.1900714758158748,
0.0796419660688265,
1.5604948091299096,
-1.5763750095614637,
1.5971548185799969,
-1.5492339871610157
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -1.416666666666667,
"target_ratio": 0.97,
"target_value": -1.374166666666667
} | 212 |
64b81587301614454a8e204aef648a08 | 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": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "source": 1, ... | {"states": [103, 111], "expectation_value": -12.474865994844917, "params": null, "bitstrings": ["10011000", "10010000"], "total_optimization_steps": 66, "probabilities": [0.4267754212591789, 0.4267757631547689], "optimization_time": 85.21267628669739} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + 1.75 * Z(1) + -0.25 * Z(0) + -3.0 * Z(3) + -1.75 * Z(4) + 0.75... | 1 | 8 | 1 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -11.5, "smallest_bitstrings": ["10010000", "10011000", "10111110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.7620331655042796) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.009727605300973743) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.022309653861594385) q[2];
cx q[3], q[2];
h q[4];
cx q[1], q[4];
rz(0.022309653861594385) q[4];
cx... | 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(-1.5709) 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",
"IIIIZIIZ",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"IZIIIZII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.25,
-1.5,
-0.75,
-1.25,
2,
-0.75,
-1,
-0.75,
-1.25,
-0.5,
-0.5,
1.75,
-0.25,
-3,
-1.75,
0.75,
2.5,
0,
0
] | 0.970256 | [
-0.7620331655042796,
0.009727605300973743,
0.022309653861594385,
-0.5342435375433542,
0.4659873954897646,
-0.037513852242874623,
-0.6135829027365842,
0.48420167523977486,
-0.6188044349738584,
-0.746188471536007,
1.1163776811111443,
-0.12719197134176755,
-0.03880296896392278,
-1.39805669698... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 176 |
06224520ded029e940b1fde3f5ab3e3b | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 4}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "... | {"states": [2410, 1386], "expectation_value": -0.12101602566038501, "params": [0.8935000000000001, -0.17370000000000002, 0.8174, 0.0029000000000000002, 0.8954000000000001, -0.1739, 0.8199000000000001, 0.0083, 0.8829, -0.1713, 0.7289, 0.0035, 0.8981, -0.1686, 0.8888, 0.009000000000000001, 0.8183, 0.1928, 0.7160000000000... | 0.25 * (Z(0) @ Z(1)) + -0.0017361111111111112 * (Z(2) @ Z(0)) + -0.0017361111111111112 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00034722222222222224 * (Z(4) @ Z(0)) + -0.0013888888888888892 * (Z(4) @ Z(2)) + 0.00034722222222222224 * (Z(5) @ Z(1)) + -0.0013888888888888892 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5204861111111114, -1.5204861111111114], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5149305555555554, "smallest_bitstrings": ["010101101010", "101010010101"], "largest_eigenvalue": 1.5156250000000009} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0017361111111111112,
-0.0017361111111111112,
0.25,
0.00034722222222222224,
-0.0013888888888888892,
0.00034722222222222224,
-0.0013888888888888892,
0.25,
0.00034722222222222224,
0.0006944444444444445,
0.0006944444444444445,
0.00034722222222222224,
0.0006944444444444445,
0.0006944... | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
6325447213307762689 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 5], [0, 8], [1, 3], [4, 7], [8, 6]]} | {"states": [454, 468], "expectation_value": -0.035384819180645746, "params": [[0.0687], [-0.052000000000000005]], "bitstrings": ["000111001", "000101011"], "total_optimization_steps": 10, "probabilities": [0.002095011173808529, 0.002095011173808529], "optimization_time": 0.5436041355133057} | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.5, "smallest_bitstrings": ["001110001", "010001011", "000111001", "111010100", "110011100", "011000011", "001100011", "101110100", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(1.3441150311496675) q[1];
cx q[3], q[1];
rz(-1.7926916839883233e-08) q[1];
rx(-0.7853980735478627) q[1];
rz(-1.7926916839883233e-08) q[3];
rx(-0.7853980735478627) q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(1.344115031149667... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[8], q[0];
rz(x0) q[0];
cx q[8], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZII",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IZIIZIIII",
"ZIZIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIZIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.823333 | [
1.3441150311496675,
-1.7926916828248568e-8,
-0.7853980735478627
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 92 |
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