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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
43f346f2449aaad74bd3d1617b2cab32 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [22, 13], "expectation_value": -0.9976344349723341, "params": [[0.0742, 0.07010000000000001, 0.0713, 0.0771], [-0.07440000000000001, -0.0625, -0.057800000000000004, -0.066]], "bitstrings": ["101001", "110010"], "total_optimization_steps": 10, "probabilities": [0.03503655423674872, 0.035036554236748736], "opt... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "110010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4099597405997399) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4099597405997399) q[3];
cx q[0], q[3];
rz(0.5379425344598752) q[3];
rx(-1.0181627007712197) q[3];
h q[4];
cx q[2], q[4];
rz(0.4099597405997399) q[4];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"ZZIIII",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0,
-1,
-0.5,
-0.5
] | 0.756698 | [
0.4099597405997399,
-0.5276923746122105,
0.5379425344598753,
-0.15590122747147514,
-1.0181627007712197,
0.9194045375777744,
-1.0915528273895585,
-0.4028415862936717,
-0.5859290117404532
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 223 |
0f435eed505f807fb8dc44643dfd43ce | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [5, 20], "expectation_value": -2.973039785722057, "params": null, "bitstrings": ["11010", "01011"], "total_optimization_steps": 15, "probabilities": [0.07436433115379543, 0.8991266787991344], "optimization_time": 9.505587100982666} | 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(2) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11010", "01011", "10011"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h 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]... | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
0
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
902d1b67930e0629acecd09204caf4e9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [89, 95], "expectation_value": -10.259671956045993, "params": null, "bitstrings": ["10100110", "10100000"], "total_optimization_steps": 78, "probabilities": [0.12501699519549195, 0.8278427170880167], "optimization_time": 104.20808839797974} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.5 * Z(2... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10100000"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0002406203259945633) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.0002406203259945633) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(0.002239755713033603) q[7];
cx q[1], q[7];
cx q[0], q[7];
cx q... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2796) q[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[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIIZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
-0.25,
-0.25,
-1.5,
0.75,
-1,
-0.5,
-0.75,
-1.5,
-1.75,
-0.5,
-1.75,
-0.5,
0.25,
-0.25,
-2.5,
-1.5,
1.25,
4,
-1.75,
0.5
] | 0.77774 | [
-0.0002406203259945633,
0.002239755713033603,
-1.5620315308743886,
0.00020706909952766735,
0.029331636032040385,
0.0007288211898819608,
0.11520209218064827,
1.5694007098049831,
-1.4370331811755714,
1.56923526210303,
1.5524995235409658,
1.5661269392947803,
-1.7487633370776487
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 357 |
436006815442743747 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [2, 6], [1, 3], [0, 2], [0, 5], [0, 6], [3, 4], [2, 5], [0, 3], [3, 6], [3, 5], [2, 4]]} | {"states": [39, 88], "expectation_value": -0.08509486399429994, "params": [[-0.060500000000000005], [0.0597]], "bitstrings": ["1011000", "0100111"], "total_optimization_steps": 10, "probabilities": [0.008495351686055272, 0.008495351686055272], "optimization_time": 0.6973593235015869} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 ... | 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": ["0100111", "0011000", "1100111", "1000111", "0111000", "1111000", "1011000", "0000111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-0.5100195795605429) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.5100195795605429) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.5100195795605429) q[3];
cx q[4], q[3];
cx q[1], q[3];
rz(-0.5100195795605429) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[2], q[6];
rz(x0) q[6];
cx q[2], q[6];
cx q[4], q[3];
... | null | {"circuits": [], "gradients": []} | [
"IIZIIZI",
"IIZIZII",
"ZIIIZII",
"IIZZIII",
"IIIZIZI",
"ZIIZIII",
"IIIIZIZ",
"ZIIIIIZ",
"IIIZIIZ",
"IZIIZII",
"IZIZIII",
"IZIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.521991 | [
-0.5100195795605429,
-1.989192815723658e-8,
0.6516874368758971
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 95 |
52d445418826abb1edfe2507a27ebafb | 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": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 5}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [106, 110], "expectation_value": -24.05078916037951, "params": null, "bitstrings": ["10010101", "10010001"], "total_optimization_steps": 100, "probabilities": [0.12740879726852652, 0.13759641916956722], "optimization_time": 170.19641065597534} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 8.5 * Z(1) + 3.0 * Z(0) + 14.0 * Z(2) + 9.5 * Z(4) + 5.5 * Z(3) + 11.0 * Z(5) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 114.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-1.6828308069606857) q[0];
rz(-pi) q[0];
ry(-1.031553795512743) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.47951232566871355) q[2];
h q[3];
ry(1.5494251047186622) q[3];
cx q[3], q[0];
ry(-0.13259672277912185) q[0];
cx q[3], q[0];
rz(-pi) q[4];
ry(-0.4898624661385249) q[... | null | {"matching": "near_perfect", "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(22.4081) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
8.5,
3,
14,
9.5,
5.5,
11,
11.5,
7.5
] | 0.972207 | [
22.904847443811345,
-4.836510392042526,
-8.91936632246195,
18.086225405810733,
64.41757649799031,
-24.777570963831565,
-5.2393488668576165,
-11.415326169661288,
-0.5697063469010043,
-0.020562242613332754,
1.5494251047186622,
0.2651934455582437,
-0.44100939376492304,
0.0038150615698399892,
... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 58 |
-7725280652135298074 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [0, 5], [2, 4], [1, 2, 5], [0, 2, 3], [0, 1], [0, 6], [2, 6, 7], [0, 4]]} | {"states": [101, 225], "expectation_value": -2.796528603960419, "params": null, "bitstrings": ["10011010", "00011110"], "total_optimization_steps": 50, "probabilities": [0.03614607389080298, 0.8394801438255286], "optimization_time": 65.72862124443054} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6666666666666674, "smallest_bitstrings": ["00011110"], "largest_eigenvalue": 6.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(1.4697451724551949) q[1];
h q[2];
ry(1.557504848911376) q[2];
h q[3];
ry(-0.3313470695012753) q[3];
h q[4];
ry(-0.6482273716411553) q[4];
cx q[2], q[4];
ry(0.6482273716411553) q[4];
cx q[2], q[4];
ry(-0.26253000731437726) q[4];
h q[5];
ry(-0.282053182... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) 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[... | [
"IIIZIIZI",
"IIIZIIIZ",
"IIIIIIZZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIIZIZII",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIZII",
"IIIIZIIZ",
"IIIIZZII",
"IZIIIIIZ",
"IZIIIZII",
"ZIIIIZII",
"ZZIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIII... | [
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0.16666666666666696,
0.16666666666666696,
0.16666666666666... | 0.973943 | [
1.557504848911376,
-1.2964547432823106,
1.4697451724551949,
-0.5641063651675676,
1.2087786406726164,
-1.4222554354129564,
-0.7652775706681402,
0.5712080523189794,
-0.34416296659312906,
-0.6626941390025506,
-0.28444542618875185,
0.659392070628122,
-0.2491282154581418,
0.7108090534906127,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -3.0000000000000004,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
70196c9e5e5eed44a74c7bea1ceede42 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 2, "target": 7},... | {"states": [0, 1551], "expectation_value": -16.606298587472082, "params": [-0.7537, -0.0437, 0.7157, 0.0041, -0.7077, 1.5122, -0.35700000000000004, 0.0073, -0.0034000000000000002, 1.1296000000000002, 0.0027, 0.0008, -0.0033, 1.1064, 0.003, 0.004200000000000001, -0.0034000000000000002, 1.1059, 0.003, 0.0027, -0.0033, 1.... | -1.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + -3.0 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(6)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(7)) + 0.... | 6 | 11 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["00111110000"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.9137352880410299) q[0];
cx q[1], q[0];
rz(0.2689427588304305) q[0];
rx(1.1745351676993625) q[0];
rz(0.2689427588304305) q[1];
rx(1.1745351676993625) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(0.07970599080508173) q[2];
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[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZIIZII",
"IIIIZZIIIII",
"IIIIZIIIZII",
"IIIIIZZIIII",
"IIIIIIZIZII",
"IIIIZIZIIII",
"IIIIIZIZIII",
"IIIIIIIZZII",
"IIIIZIIZIII",
"IIIIIIZZIII",
"IIZZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIZIII... | [
-1,
1,
0.5,
-2.5,
-2.5,
-3,
1,
0.5,
1,
-2.5,
-2.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
-2,
-2,
-2,
1.5,
1,
0.5,
0.5,
0.5,
0.5
] | 0.569456 | [
1.9137352880410299,
0.07970599080508173,
0.2689427588304306,
0.26095148199702944,
0.14389612357279366,
0.8106488146902346,
1.4344166996139387,
1.2419529108841116,
1.1745351676993627
] | {
"n_parameters": 9,
"n_qubits": 11,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 234 |
11576eab70c2ec583415b5e8bd58f9e2 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [60, 85], "expectation_value": -0.09505023136824958, "params": [[-0.0364, -0.0524], [0.0463, 0.052000000000000005]], "bitstrings": ["1000011", "0101010"], "total_optimization_steps": 10, "probabilities": [0.009109510364823204, 0.00910951036482321], "optimization_time": 3.482408285140991} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(2) @ Z(6) @ Z(3)) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101010", "1000011"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"ZIIIIZI",
"IIIZZII",
"ZIIIZII",
"ZIIZIII",
"ZIIZZII",
"IZZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
-0.25,
0,
0,
-0.25,
-1,
-0.25
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
cf6781246fc66f87fa6a567e8619e23b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [17, 1], "expectation_value": -0.9328407745875589, "params": [[0.0664, 0.0724, 0.041800000000000004], [-0.0563, -0.07200000000000001, -0.0458]], "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.01660593468016631, 0.01686760616416738], "optimization_time": 3.9034116268... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -1.25 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["1111110", "1101110"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.33675991249539916) q[0];
h q[1];
ry(-0.8515395949228223) q[1];
h q[2];
h q[3];
ry(-1.5428256682959467) q[3];
rz(-pi) q[4];
ry(-0.10231168646078781) q[4];
ry(-0.054796923753035846) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[0];
ry(0.33675991249539916) q[0];
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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIZIIZI",
"IZZIIII",
"IZIIZII",
"IIZIZII",
"ZIIIIIZ",
"ZIZIIII",
"ZIIIZII",
"IZIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
-0.75,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
1.25,
-0.25,
-0.25,
-1,
-0.25,
0.25,
-0.25,
-1.25,
0.5,
0.25,
0.75,
-0.25
] | 0.978102 | [
-1.5428256682959467,
-0.6735198249907983,
1.5130573834326533,
-0.9935783652960206,
-1.7030791898456445,
-1.6641177806211036,
0.02746594902502659,
-0.2747638951084399,
0.6952452953339312,
-0.36325278036379793,
-0.35971473705457196,
0.17518969526177117,
-0.197380008249672,
-0.085975751722793... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 13 |
560cf2172752e15d8cd93f412243edf3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [168, 87], "expectation_value": -9.119783364325817, "params": [[[0.6944, 0.6984], [0.6956, 0.6919000000000001], [0.2985, 0.6885], [0.6954, 0.7016], [0.6741, 0.6995], [0.6189, 0.7068], [0.49210000000000004, 0.6902], [0.2591, 0.46480000000000005]], [[0.6996, 0.2687], [0.7018, 0.7024], [0.6882, 0.6872], [0.6986... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(0)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(4)) + 18.5 * Z(1) + 2.0 * Z(0) + 6.5 * Z(2) + 16.0 * Z(3) + 4.0 * Z(4) + 1.0 * Z(5) + 6.0 * Z(6) + 7.5 * Z... | 15 | 8 | 2 | {"smallest_eigenvalues": [-56.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10101000"], "largest_eigenvalue": 111.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.6738416202724966) q[0];
ry(1.1689992243758927) q[1];
ry(-0.16461809804224242) q[2];
ry(0.7492500381856974) q[3];
ry(0.96900057932241) q[4];
ry(0.3703109221084124) q[5];
ry(0.13252615411789984) q[6];
ry(-0.12498689681996528) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIZZIII",
"IIZIIZII",
"IZIIIIZI",
"IZIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
18.5,
2,
6.5,
16,
4,
1,
6,
7.5
] | 0.971911 | [
1.6738416202724966,
1.1689992243758927,
-0.16461809804224242,
0.7492500381856974,
0.96900057932241,
0.3703109221084124,
0.13252615411789984,
-0.12498689681996528,
0.09406080829430945,
0.06460433305501805,
-0.0016252547356295597,
0.3152801328083684,
0.31177191744180577,
0.9840032870140997,
... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -56.5,
"target_ratio": 0.97,
"target_value": -54.805
} | 65 |
b9d77147a8075a3ab2c92d83b9a01aff | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [26, 15], "expectation_value": -2.313921416446625, "params": null, "bitstrings": ["00101", "10000"], "total_optimization_steps": 25, "probabilities": [0.1260881564340479, 0.6003138025270256], "optimization_time": 14.46843934059143} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + 1.0 * Z(1) + 0.25 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["10000", "10010"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.3021285901869553) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.043858714499417424) q[1];
cx q[3], q[1];
rz(0.15148676426630026) q[3];
rx(1.6420934673725691) q[3];
h q[4];
cx q[0], q[4];
rz(-0.6058695825523499) q[4];
cx q... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IZIIZ",
"ZIIIZ",
"IZIZI",
"ZIIZI",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
-0.25,
0.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
1,
0.25
] | 0.970354 | [
-0.3021285901869553,
-0.6058695825523499,
-0.043858714499417424,
0.1514867642663002,
-1.1554450260119575,
-1.1686368417294875,
1.6420934673725691,
-0.5967042178992558,
-0.4649764029594956,
-0.7324181695780487,
0.37535760010990565,
-0.9130635513536562,
-0.23404186224473988,
0.11806590585545... | {
"n_parameters": 26,
"n_qubits": 5,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 256 |
b845e845e96253b1c097c9f0e9c9732f | 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": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [44, 45], "expectation_value": -4.4678896480995975, "params": [-0.0033, 0.5973, 1.3158, -0.0015, 1.6059, 0.0027, 1.5976000000000001, 0.0013000000000000002, 1.5976000000000001, 0.0034000000000000002, 1.6072000000000002, 0.0037, 0.0032, 0.8235, 1.6043, 0.0089, -0.0015, -1.3299, 1.5595, -1.5838, 1.5762, -1.4974... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(3) + -1.5 * Z(0) + -1.0 * Z(4) + -2.0 * Z(6) + ... | 4 | 8 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["11010010"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.028840412002629212) q[0];
rz(1.8568219534412886) q[0];
rx(1.8029269102676548) q[1];
rz(1.6846501995194636) q[1];
rx(3.1038865739398225) q[2];
rz(1.5383248330676604) q[2];
rx(1.5692086614144958) q[3];
rz(1.443660329730907) q[3];
rx(1.569208661414496) q[4];
rz(1.6716... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IZIIZIII",
"IZIIIIIZ",
"IZIZIIII",
"ZIIIIIIZ",
"IZIIIZII",
"IIIIIZZI",
"IIZIZIII",
"IZZIIIII",
"IIZIIIZI",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIIIZI",
"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,
-1.5,
-1.5,
-1,
-2,
0,
-0.5,
-0.5,
-1
] | 0.974619 | [
0.028840412002629212,
0.28602562664639203,
1.8029269102676546,
0.11385387272456689,
3.1038865739398225,
-0.032471493727236414,
1.5692086614144958,
-0.12713599706398893,
0.10089415174775623,
3.1312311361495535,
0.4037140865454669,
-0.16005035273181406,
1.6391585680339678,
2.835018730684628,... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 20 |
8a4269a232078304d8c3e7272421c53e | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "... | {"states": [0, 1855], "expectation_value": -15.977974760770273, "params": [0.011000000000000001, 0.8056000000000001, 0.0102, 0.7060000000000001, 0.6127, 1.7835, -0.3864, 0.8877, -0.7232000000000001, 1.6487, 0.11320000000000001, 1.4494, -0.7318, 1.6474, -0.1647, 1.0705, -0.007500000000000001, 0.8580000000000001, 0.0033,... | -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + -2.0 * (Z(0) @ Z(4)) + -2.5 * (Z(6) @ Z(7)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + 1.0 * (Z(10) @ Z(7)) + -2.5 * (Z(10) @ Z(6)) + 0.5 * (Z(10) @ Z(9)) + -2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(10)) + -1.5 * (Z(11) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) +... | 6 | 12 | 2 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["100011000000"], "largest_eigenvalue": 26.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.18413812569188293) q[0];
rz(2.8183515922818394) q[0];
rx(1.5090654790381988) q[1];
rz(-2.3233351604393206) q[1];
rx(-2.030781438239361) q[2];
rz(-2.570824257582725) q[2];
rx(-2.2505110377189754) q[3];
rz(3.0213436879533297) q[3];
rx(-0.11248887336967449) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZZIIII",
"IIIIIIZIIIIZ",
"IIIIIIIZIIIZ",
"IIIIZZIIIIII",
"IIZIZIIIIIII",
"IIZIIZIIIIII",
"IZIIZIIIIIII",
"IZIIIZIIIIII",
"IZZIIIIIIIII",
"IIIZZIIIIIII",
"IIIZIZIIIIII",
"IZIZIIIIIIII",
"ZIIIIIIIZIII",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"ZIIIIIIIIZII",
"IIIIIIIIIZZI",
"IIIIIIZII... | [
-2,
0.5,
-2,
-2.5,
0.5,
-2,
1,
-2.5,
0.5,
-2,
1,
-2,
-1.5,
0.5,
-2,
0.5,
-1.5,
-1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.924631 | [
-0.18413812569188293,
1.2475552654869415,
1.5090654790381988,
2.3890538199453686,
-2.030781438239361,
2.141564722801965,
-2.2505110377189754,
1.4505473611584323,
-0.1124888733696745,
0.4442768302460674,
0.09423356887700426,
1.7250208413231547,
-1.4338338725689133,
1.2891138707314336,
-1.... | {
"n_parameters": 118,
"n_qubits": 12,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 500 |
8344618687521913673 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [0, 1, 2, 5], [0, 2, 4, 6], [2, 4, 5, 7], [3, 6, 7], [4, 5, 6], [0, 3, 7], [2, 5, 6], [3, 5], [0, 1, 6], [0, 1, 4, 5, 7], [2, 4, 6, 7], [1, 2, 3]]} | {"states": [239, 237], "expectation_value": -1.8539761022804608, "params": [1.2003000000000001, 1.1979, 1.1953, 1.1937, 1.1881000000000002, 1.1874, 0.5805, 0.5788, 1.1991, 1.2, 1.1874, 1.1937, 1.1984000000000001, 1.1975, 1.1881000000000002, 1.1976, 0.9168000000000001, 1.1908, 0.2008, 0.9673, 0.3785, 0.38530000000000003... | 0.5 * (Z(3) @ Z(4)) + 0.13333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.05 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3 * (Z(1) @ Z(0)) + 0.25 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + 0.3 * (Z(5) @ Z(4... | 14 | 8 | 1 | {"smallest_eigenvalues": [-3.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.033333333333333, "smallest_bitstrings": ["00010010"], "largest_eigenvalue": 11.999999999999998} | 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[3];
rz(0.30479501809541176) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(-0.0007566884222982243) q[0];
cx q[4], q[0];
cx q[3], q[0];
rz(0.019569683910446167) q[0];
cx q[3], q[0];
cx q[4], q[1];
rz(1.0972769039875795e-05) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIIIZIZI",
"IIIIIIZZ",
"IIIZIZII",
"IIIIZZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIZZIIII",
"IIZIZIII",
"IIZIIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IZIZIIII",
"IZIIZIII",
"IZIIIIIZ",
"IZIIIIZI",
"IZIIIZII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZII... | [
0.5,
0.13333333333333333,
0.16666666666666666,
0.05,
0.16666666666666666,
0.3,
0.25,
0.16666666666666666,
0.16666666666666666,
0.25,
0.3,
0.5,
0.13333333333333333,
0.13333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.25,
0.16666666666666666,
0.333... | 0.756947 | [
0.30479501809541176,
-0.0007566884222982243,
0.019569683910446167,
0.000010972769039875795,
-0.05862518378956961,
0.0012981418224019348,
0.010201679231646377,
0.000926619791454744,
1.5003521472012857,
-1.5469847039314282,
1.576213094342818,
-1.567162046754783,
-1.56738899052582,
1.69768145... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -3.166666666666667,
"target_ratio": 0.97,
"target_value": -3.0716666666666668
} | 368 |
1305504633744829616 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 1], [0, 3], [2, 3]]} | {"states": [9, 10], "expectation_value": -1.3448396588962441, "params": null, "bitstrings": ["0110", "0101"], "total_optimization_steps": 18, "probabilities": [0.0562534267794353, 0.848595631511367], "optimization_time": 8.414158344268799} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1010", "0101"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.9359294749065803) q[0];
cx q[1], q[0];
rz(3.099626866287508e-08) q[1];
rx(pi/4) q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.9359294749065803) q[3];
cx q[0], q[3];
rz(3.099626866287508e-08) q[0];
rx(pi/4) q[0];
cx q[3], q[2];
rz(-0.935... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... | [
"IIZZ",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.586724 | [
-0.9359294749065803,
3.099626850791655e-8,
0.7853981637139655
] | {
"n_parameters": 3,
"n_qubits": 4,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 98 |
9100e2fb1259fd581bb7d10373e955dd | 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": [207, 79], "expectation_value": -53.25235034805393, "params": [0.0039000000000000003, 0.3291, 0.531, -0.32180000000000003, 0.9923000000000001, 0.0974, 0.0032, 0.6201, 0.37610000000000005, 0.3709, 0.992, 0.0183, 0.9899, -0.0227, 0.9853000000000001, -0.0068000000000000005, 0.995, 0.22240000000000001, 0.0002, 0... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(7) @ Z(1)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(0) @ Z(8)) + 5.5 * Z(2) + 10.5 * Z(1) + -4.5 * Z(3) + 11.5 * Z(5) + 5.0 * Z(4) + 8.5 * Z(6) + 14.5 * Z(7) + 3.0 * Z(8) + -2.5 * Z(0) | 18 | 9 | 3 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["110110000"], "largest_eigenvalue": 105.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.031380912944183444) q[0];
rz(0.5083255285687454) q[0];
rx(0.19190383212830617) q[1];
rz(-0.32383229467949926) q[1];
rx(1.1720217497756495) q[2];
rz(0.18010181912884762) q[2];
rx(0.021475552845266414) q[3];
rz(0.6596345929106217) q[3];
rx(0.15018775164995665) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
5.5,
10.5,
-4.5,
11.5,
5,
8.5,
14.5,
3,
-2.5
] | 0.975907 | [
-0.03138091294418345,
0.23130690297471454,
0.19190383212830617,
-0.32383229467949926,
1.1720217497756495,
0.18010181912884762,
0.021475552845266414,
0.6596345929106217,
0.15018775164995665,
0.2091024642791532,
1.1115963632046852,
0.07445990978808588,
0.9223802993471021,
-0.019044125766221,... | {
"n_parameters": 76,
"n_qubits": 9,
"optimal_eigenvalue": -64.5,
"target_ratio": 0.97,
"target_value": -62.565
} | 10 |
0422e82e542f79e7f34e2b64d3068fee | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 6}, {"source": 3, "target": 6}, {"source": 4, "ta... | {"states": [149, 181], "expectation_value": -3.0745219657966625, "params": [0.3059, -0.0805, 0.30760000000000004, 0.002, 0.0917, 0.11810000000000001, 0.09230000000000001, 0.11330000000000001, 0.2983, -0.0801, 0.299, 0.0204, 0.30260000000000004, -0.0714, 0.30910000000000004, 0.0154, 0.08310000000000001, 0.1269, 0.0848, ... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(7) + -2.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) | 5 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["11000010", "01001010", "00001011"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.38878073482440145) q[0];
rz(0.14972786917913483) q[0];
rx(0.0919123877059881) q[1];
rz(0.21831650309577055) q[1];
rx(0.30293712987325855) q[2];
rz(-0.16200438506721548) q[2];
rx(0.6694535489897988) q[3];
rz(0.16144384433277148) q[3];
rx(0.06031812747665993) 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... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIZIIZI",
"ZIIIIIZI",
"IZIZIIII",
"ZZIIIIII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-0.5,
-2,
0,
0,
0
] | 0.97135 | [
0.38878073482440145,
0.00295360849676235,
0.09191238770598811,
0.21048965401213054,
0.3029371298732585,
-0.0707746406419595,
0.6694535489897989,
0.32811085765398906,
0.06031812747665994,
0.16268619491658973,
0.4980593341340714,
0.2935485213647452,
0.16344776777869627,
-0.06146050142484939,... | {
"n_parameters": 115,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 17 |
-7057494627897803715 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 4, 6, 7], [3, 4, 7], [0, 4], [2, 4, 5], [2, 3, 4, 6], [8, 2, 6], [1, 2, 5], [0, 1, 6, 7], [0, 2], [8, 2, 3], [8, 3, 6], [0, 8], [8, 1], [1, 4, 5, 7], [1, 3]]} | {"states": [209, 211], "expectation_value": -2.59690130531623, "params": [[[1.5686, 1.9806000000000001], [1.0019, -0.8231], [-0.14250000000000002, 1.2306000000000001], [2.6013, 0.3809], [0.781, 0.8189000000000001], [1.5682, 1.5683], [1.5734000000000001, -1.5623], [1.5731000000000002, -0.0058000000000000005], [1.5685, 1... | 0.08333333333333333 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.41666666666666663 * (Z(6) @ Z(8)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.25 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(8)) + 0.25 * (Z(3) @ Z(6)) + 0.16666666... | 15 | 9 | 1 | {"smallest_eigenvalues": [-4.000000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.999999999999999, "smallest_bitstrings": ["100101100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.605514592667132) q[0];
ry(1.6045859633892443) q[1];
ry(1.4772445979506843) q[2];
ry(4.716547615423625) q[3];
ry(1.402130514098908) q[4];
ry(1.5086503491892786) q[5];
ry(1.536974255223975) q[6];
ry(1.6050740229564087) q[7];
ry(1.6501472391235825) q[8];
cx q[8], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"ZIIIZIIII",
"IIZIZIIII",
"ZIZIIIIII",
"IZIIZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIZZIII",
"ZIIIIZIII",
"IIZIIZIII",
"IZIIIZIII",
"IIIIZIIIZ",
"ZIIIIIIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IIIIZIZII",
"ZIIIIIZII",
"IIZIIIZII",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIZZIIII",
"IZIZIIIII",
"... | [
0.08333333333333333,
0.16666666666666666,
0.41666666666666663,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.25,
0.3333333333333333,
0.25,
0.16666666666666666,
0.5,
0.5,
0.08333333333333333,
0.08333333333333333,
0.25,
0.3333333333333333,
0.25,
0.25,
0.5,
0.25,... | 0.978378 | [
1.605514592667132,
1.6045859633892443,
1.4772445979506843,
4.716547615423625,
1.402130514098908,
1.5086503491892786,
1.536974255223975,
1.6050740229564087,
1.6501472391235825,
1.5765336741652636,
-1.7047394483736025,
1.4657871915960108,
-1.5024436322574364,
1.6821180495072905,
1.52984109... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -4.000000000000002,
"target_ratio": 0.97,
"target_value": -3.8800000000000017
} | 176 |
953796ca4b6137c6c134989cdf6bb9e5 | 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": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 2, ... | {"states": [128, 1], "expectation_value": -3.70733249626168, "params": [[-0.0594, -0.06860000000000001, -0.08700000000000001], [0.0709, 0.0673, 0.077]], "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 10, "probabilities": [0.015576471064973008, 0.02172621954565906], "optimization_time": 4.1861977577... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(1) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * Z(3) + -0.25 * Z(0) + -1.0 * Z(6) + 2.5 * Z(2) + -1.0 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"], "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];
cx q[3], q[0];
rz(-0.3483451487171722) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(-0.02778833924913412) q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(-0.3483451487171722) q[1];
cx q[2], q[1];
rz(-0.34834514871717204) q[1];
rx(-1.5496356521799646) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIIIIZ",
"IIIIZZII",
"IIIIIZZI",
"IZIZIIII",
"IIIZIZII",
"IIZIZIII",
"IZZIIIII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1,
-0.75,
-1.5,
-1,
-2,
-1.5,
-1,
-0.75,
-0.75,
2,
-0.75,
-0.5,
-0.25,
-1,
2.5,
-1,
-0.5,
-0.5,
1.25
] | 0.972046 | [
-0.3483451487171722,
-0.01952397966811929,
-0.02778833924913412,
-0.320011031661691,
0.18500737395646455,
-0.557023597019871,
-0.5413866637494237,
-0.9068040738231341,
0.708134931363403,
-1.5496356521799646,
-0.5760853995779249,
-0.12218594570022752,
-0.22892143467827025,
-0.61961605786585... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 121 |
bf001351f2bf5e55c043b36bf1cfc0ff | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 18, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 2}, {... | {"states": [227, 115], "expectation_value": -34.19770952065728, "params": [[0.0376, -0.006900000000000001], [-0.16740000000000002, -0.1236]], "bitstrings": ["00011100", "10001100"], "total_optimization_steps": 20, "probabilities": [0.023270460076405635, 0.023281823941612496], "optimization_time": 3.427354335784912} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10001100"], "largest_eigenvalue": 144.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.014501327735563205) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.014501327735563205) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.014501327735563205) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.014501327735563205) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
8.5,
21,
17.5,
-3.5,
7,
14.5,
10
] | 0.979318 | [
-0.014501327735563205,
1.0347150784178718,
-0.5692598202979595,
0.8538840510919471,
0.449639128842699,
-0.5166005433180799,
-0.5904170101921311,
0.7104836149796329,
1.0334025197694245,
-0.9166130684491123,
0.10267877018475241,
0.640899445953751,
-0.04544482157122929,
1.0068858003288548,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -64.5,
"target_ratio": 0.97,
"target_value": -62.565
} | 48 |
f185945566c2c3ca031391a04e449c23 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 7}, {"capacity": 4, "source": 1, "target": 9}, {"capac... | {"states": [512, 511], "expectation_value": -16.71067326352949, "params": [[[-0.008, -0.0055000000000000005], [0.0001, 0.0475], [0.0036000000000000003, -0.0031000000000000003], [-0.0045000000000000005, -0.0024000000000000002], [-0.0045000000000000005, 0.0025], [0.0027, -0.0026000000000000003], [-0.0041, -0.0027], [-0.0... | -1.0 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(1)) + 1.25 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(1)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(8) @ Z(1)) + -1.25 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(2)) + -1.0 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(4) @ Z... | 15 | 10 | 3 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.25, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.07518857784251523) q[0];
ry(-0.13869200212896973) q[1];
ry(-0.10001286039027482) q[2];
ry(-0.02242735658338768) q[3];
ry(-0.02242735658338768) q[4];
ry(0.008686427390957936) q[5];
ry(-0.18197491646893446) q[6];
ry(-0.08579596449094426) q[7];
ry(-1.686618919291783... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZ",
"IIIZIIIIZI",
"IIZZIIIIII",
"IIZIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIIIZI",
"IIIZIIIZII",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZZIIIIIIII",
"IZIIIIIZII",
"IIZIIIZIII",
"ZIIIIIZIII",
"IZIIIZIIII",
"IIIIIZZIII",
"IIIZZIIIII",
"IIIIZIIIZI",
"IIZIZIIIII",
"IZIIZIIIII",
"IIIIZIZIII"... | [
-1,
-0.75,
-0.5,
-2,
1.25,
-1,
-1.25,
-0.75,
-1.25,
-1,
-0.25,
-1,
-0.5,
-1,
-1.5,
-0.5,
-0.75,
-1.5,
-0.75,
-0.25,
1,
-0.25,
-0.75,
-0.25,
-1.25,
0,
-0.5,
2.75,
0,
-0.75
] | 0.970839 | [
-0.07518857784251523,
-0.13869200212896973,
-0.10001286039027482,
-0.02242735658338768,
0.008686427390957936,
-0.18197491646893446,
-0.08579596449094426,
-1.686618919291783,
0.22160935231836637,
-0.10773700841013065,
0.040320572389887344,
0.02522293486452439,
-0.012615186482748989,
-0.0045... | {
"n_parameters": 51,
"n_qubits": 10,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 70 |
00c47f772e828bc0d4453cbe4002ef93 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 6}, ... | {"states": [96, 35], "expectation_value": -3.238650777995441, "params": [[[0.31930000000000003, 0.0047], [0.7002, 0.0024000000000000002], [-0.0158, 0.005], [0.0022, -0.008], [-0.0538, -0.034300000000000004], [0.6898000000000001, 0.6731], [0.7021000000000001, 0.4913]], [[0.7055, 0.0041], [0.7016, 0.0036000000000000003],... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(6) | 15 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["1011100", "1010110", "0011110"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.3740494778088388) q[0];
rz(0.038480760740334644) q[0];
ry(0.224551751390454) q[1];
rz(0.5370851894701437) q[1];
cx q[1], q[0];
ry(0.4448488714328079) q[0];
rz(0.05144857571396507) q[0];
ry(0.3371077171914179) q[1];
rz(0.08762329343067346) q[1];
ry(0.104881867130796... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"IZZIIII",
"IIZIIZI",
"IIIIZZI",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
-0.5,
-0.5,
0
] | 0.973285 | [
0.3740494778088388,
0.038480760740334644,
0.224551751390454,
0.5370851894701437,
0.10488186713079617,
0.1035541280360952,
-0.01808806022148845,
-0.024568873931475266,
0.25887705446175446,
0.13569640496103613,
0.02791278499853541,
0.3774374145905032,
1.1970490074798599,
-0.17339973107511375... | {
"n_parameters": 127,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 80 |
712b030d217f3cf9b2b341027ce3b496 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 14, "source": 1, "target": 6}, {"weight": 3, "source... | {"states": [219, 218], "expectation_value": -68.52345378461365, "params": [0.1312, 0.2582, 0.13140000000000002, 0.2504, 0.5446, -0.0653, 0.5412, -0.060700000000000004, 0.5376000000000001, -0.0707, 0.5387000000000001, -0.019700000000000002, 0.0024000000000000002, 0.0058000000000000005, 0.006500000000000001, -0.093900000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 10.5 * Z(1) + 4.0 * Z(0) + 12.0 * Z(2) + 7.0 * Z(4) + 1.... | 5 | 9 | 3 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 134.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.11626367191495617) q[0];
rz(-0.2106040854003126) q[0];
rx(0.9478855789126086) q[1];
rz(-0.06828684283665343) q[1];
rx(-0.20148789490429764) q[2];
rz(0.24190586838730788) q[2];
rx(-0.10600745945522326) q[3];
rz(0.24682421348931705) q[3];
rx(0.7705790951013602) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
10.5,
4,
12,
7,
1.5,
13,
0.5,
10.5,
15
] | 0.971796 | [
-0.11626367191495618,
-0.03173752259946515,
0.9478855789126086,
-0.10405674410918156,
-0.20148789490429764,
0.16198685409452146,
-0.10600745945522325,
0.24035094405800145,
0.7705790951013602,
-0.3696644980084714,
0.5459902919862265,
-0.19463096022212167,
-0.27051526918250374,
-0.2029262882... | {
"n_parameters": 174,
"n_qubits": 9,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 83 |
9645644fcb46d75a104e4de81b9201a7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [0, 1], "expectation_value": -3.295974090047055, "params": [0.0007, 0.20980000000000001, 0.0002, -0.25070000000000003, 0.0023, -0.3049, 0.0038, 0.2914, 0.002, 0.28650000000000003, 0.3062, 0.0927, 0.4033, 0.006, 0.00030000000000000003, 0.2093, 0.0054, -0.2998, 0.0046, -0.2978, 0.0021000000000000003, 0.3044, 0... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(6) + 1.0 * Z(3) + -0.75 * Z(1) + -0.75 * Z(4) + 0.5 * Z(5) | 3 | 7 | 4 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1010100", "1111100"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5968952478819238) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.06171327633547268) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.415918497861762) q[1];
cx q[3], q[1];
h q[4];
cx q[2], q[4];
rz(-0.06171327633547268) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"ZIIIIIZ",
"IIIZZII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
0.5,
1,
-0.75,
-0.75,
0.5
] | 0.926178 | [
-0.5968952478819238,
0.4526712559046789,
-0.06171327633547268,
-0.415918497861762,
-0.6502010492922798,
-1.6181973367743598,
-0.8278971628393553,
0.9201213440736843,
-0.14848852993025277,
-1.0885472675907426,
-0.6577968816211469,
-1.0712293365854164
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 324 |
-8270300483819624873 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 3, 5, 6, 7, 8, 9, 11], [10, 11, 6], [0, 1, 3, 4, 5, 6, 7, 8, 9, 10], [2, 11, 4], [0, 1, 2, 3, 4, 6, 7, 8, 9, 10], [0, 2, 3, 7, 9, 10, 11], [0, 1, 7, 10, 11], [0, 1, 2, 3, 5, 6, 7, 8, 9, 10], [11, 10, 3, 5], [11, 10, 3, 4], [1, 5, 8, 10, 11], [1,... | {"states": [2493, 2557], "expectation_value": -2.227191388036582, "params": [[[3.1356, 0.0039000000000000003], [0.9701000000000001, 0.0017000000000000001], [0.9355, 0.0036000000000000003], [3.1606, 0.006500000000000001], [1.8342, 0.005], [1.5775000000000001, 0.0055000000000000005], [2.9295, 0.0085], [2.8171, 0.0083], [... | 0.10555555555555557 * (Z(0) @ Z(1)) + 0.044444444444444446 * (Z(2) @ Z(1)) + 0.06825396825396826 * (Z(2) @ Z(0)) + 0.05555555555555556 * (Z(3) @ Z(1)) + 0.07936507936507936 * (Z(3) @ Z(0)) + 0.06825396825396826 * (Z(3) @ Z(2)) + 0.09444444444444446 * (Z(5) @ Z(1)) + 0.044444444444444446 * (Z(5) @ Z(0)) + 0.033333333333... | 1 | 12 | 1 | {"smallest_eigenvalues": [-2.7682539682539677], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7682539682539673, "smallest_bitstrings": ["011000000010"], "largest_eigenvalue": 12.999999999999995} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.4117744800731766) q[0];
rz(-0.45913490224240194) q[0];
rx(0.2416397548980084) q[1];
rz(-0.10087974187575302) q[1];
rx(0.14552981141780003) q[2];
rz(-0.6029058710947434) q[2];
rx(3.087352059021603) q[3];
rz(-0.08914767212925297) q[3];
rx(2.868401303362911) 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",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIIZII",
"IIIIIIZIZIII",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IIIIZIIIIIZI",
"IIIIZIIIIIIZ",
"IIIIZIIII... | [
0.10555555555555557,
0.044444444444444446,
0.06825396825396826,
0.05555555555555556,
0.07936507936507936,
0.06825396825396826,
0.09444444444444446,
0.044444444444444446,
0.03333333333333333,
0.12777777777777777,
0.044444444444444446,
0.044444444444444446,
0.03333333333333333,
0.04444444444... | 0.977929 | [
3.4117744800731766,
-0.45913490224240194,
0.2416397548980084,
-0.10087974187575302,
0.14552981141780003,
-0.6029058710947434,
3.087352059021603,
-0.08914767212925297,
2.868401303362911,
-0.22972910087978982,
2.6215980867629285,
-0.10157168277537129,
2.853500548070147,
-0.20245702570964053,... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -2.7682539682539677,
"target_ratio": 0.97,
"target_value": -2.6852063492063487
} | 15 |
478347d0649638bba313bef5d45c4851 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [6, 66], "expectation_value": -4.972901300467102, "params": null, "bitstrings": ["1111001", "0111101"], "total_optimization_steps": 18, "probabilities": [0.07435637329992388, 0.8990309295802269], "optimization_time": 15.686606168746948} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 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(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["0111101", "1011011", "1111010", "1111001", "1110110", "0101111", "0110111", "1101110"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.19473427908825972) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.19473427908825972) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(-0.19473427908825972) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[2];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIIZZI",
"IIZIZII",
"IIIZIZI",
"IIZZIII",
"IIIZZII",
"IZIIIZI",
"ZZIIIII",
"IZIIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1,
-1,
-1.5,
-1.5,
-1.5
] | 0.886571 | [
-0.19473427908825972,
1.136917865121911,
0.5310912698869844,
0.8775471306091145,
1.0363284716041778,
-0.9981925067797313,
2.946077734973025,
1.3732921212545732,
2.2890429782392525,
0.417474212986674
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 286 |
df62b430c122c4297c9377287854fb07 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [13, 15], "expectation_value": -0.1383367294758906, "params": [[0.0669, 0.0699], [-0.069, -0.0717]], "bitstrings": ["10010", "10000"], "total_optimization_steps": 10, "probabilities": [0.036742489913360744, 0.03844531573438516], "optimization_time": 1.8865501880645752} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10010", "10000"], "largest_eigenvalue": 1.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.4192363165159487) q[0];
h q[1];
ry(0.8083877277033201) q[1];
h q[2];
ry(1.5715365335575289) q[2];
cx q[2], q[1];
ry(-0.8083877277033201) q[1];
cx q[2], q[1];
ry(0.0015275764421637146) q[2];
h q[3];
h q[4];
cx q[4], q[0];
ry(0.4192363165159487) q[0];
cx q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"IZIZI",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"IIZZI",
"IZIII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IIZII"
] | [
-0.25,
-0.5,
-0.25,
0.5,
-0.25,
-0.5,
-0.5,
-0.25,
0.25,
0,
0.5
] | 0.976145 | [
1.5715365335575289,
1.6167754554066402,
-0.8384726330318975,
1.0454948872417675,
-1.0162029767581646,
0.5475724000797026,
-0.2924915317005682,
0.003055152884327429,
0.13920020947575934,
0.14473740227131043,
-0.1293458458327996,
-0.034238716862651924
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 8 |
bd840c67c60de5e8a0e6837e43896a66 | 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": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -1.7546780023682227, "params": [[-0.0541, -0.0245, -0.0296], [0.07, 0.0412, 0.043500000000000004]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007141730291029847, 0.007597956931171597], "optimization_time": 4.121246337890625} | -1.0 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + -1.75 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(6) + -0.75 * Z(7) + 0.25 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.35990459281439513) q[0];
ry(0.023198227495002326) q[1];
ry(-0.34517053290632227) q[2];
ry(-0.07570776039062659) q[3];
ry(-0.3300671927820766) q[4];
ry(0.07912328524283957) q[5];
ry(-0.12769810895159228) q[6];
ry(2.542770934701043) q[7];
cx q[7], q[0];
cx q[6], q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIZII",
"IIIIIZZI",
"IIIZZIII",
"IZIZIIII",
"IIIZIIZI",
"IIZIIIZI",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII"
] | [
-1,
-0.5,
-1,
1.75,
-1.5,
-0.75,
-0.5,
-1,
-1.5,
-1.75,
-0.75,
1,
-0.25,
-1.25,
-0.75,
0.25,
-2,
2.25,
0.75
] | 0.971343 | [
0.35990459281439513,
0.023198227495002326,
-0.34517053290632227,
-0.07570776039062659,
-0.3300671927820766,
0.07912328524283957,
-0.12769810895159228,
2.542770934701043,
0.13639105111281324,
0.06582778734862514,
0.014480851916113589,
0.018346416700780566,
0.004479335725910791,
0.2717194537... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 35 |
e0b9c24fb45ae4a4b516382818d3356a | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [56, 888], "expectation_value": -0.8376719958067929, "params": [[-0.053700000000000005], [0.063]], "bitstrings": ["1111000111", "0010000111"], "total_optimization_steps": 10, "probabilities": [0.0013827163556318367, 0.0014330325812355355], "optimization_time": 1.7719542980194092} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + -2.5 * (Z(2) @ Z(7)) + 1.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 *... | 5 | 10 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["0010000111"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.5987397247527203) q[0];
rz(1.5565654866125067) q[0];
rx(1.3414863476265921) q[1];
rz(2.5228131811269066) q[1];
rx(-0.07282720449465764) q[2];
rz(2.321246976446698) q[2];
rx(1.0142480694764038) q[3];
rz(2.7706556272319256) q[3];
rx(0.30758239959314104) q[4];
rz(2.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IZZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZIZIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"IIIIIIIZII"... | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-2,
0.5,
-2.5,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-2,
-1.5,
-1.5
] | 0.966147 | [
0.5987397247527204,
-0.01423084018238982,
1.341486347626592,
0.9520168543320097,
-0.07282720449465765,
0.7504506496518019,
1.0142480694764036,
1.1998593004370293,
0.30758239959314104,
0.6038592587708639,
1.4201961472795583,
1.5295534632059757,
0.41169821835850856,
0.5074645511839991,
0.1... | {
"n_parameters": 148,
"n_qubits": 10,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 500 |
-740421464406975054 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 6], [2, 6], [9, 4], [10, 4], [4, 6], [0, 4], [1, 3], [10, 5], [1, 7], [8, 0]]} | {"states": [754, 690], "expectation_value": -2.3397698535764064, "params": [0.5792, -0.49960000000000004, 0.44830000000000003, 0.0034000000000000002, 1.1977, 0.025900000000000003, 1.1581000000000001, 0.0053, 0.5864, -0.5016, 0.45580000000000004, 0.009000000000000001, 1.2023000000000001, -0.0509, 1.1807, 0.0031000000000... | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(10) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(9) @ Z(0)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(10) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z... | 5 | 11 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["10101001101", "01010110010"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.16442149364329753) q[0];
rz(-0.7077973279898515) q[0];
rx(2.299168820753204) q[1];
rz(-0.05105055643081391) q[1];
rx(-0.13012603474617354) q[2];
rz(-0.8632387931277385) q[2];
rx(2.555944458137663) q[3];
rz(0.17539035212378407) q[3];
rx(0.032852520464509344) 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": []} | [
"IIIZIIIIIZI",
"IIIZIIIZIII",
"IIIZIZIIIII",
"ZIIIIZIIIII",
"IIIIIZIIZII",
"IIIIIZIIIIZ",
"IIIIIIZIIZI",
"IIIIZIIIZII",
"IIZIIIIIIZI",
"IZIIIIIIIIZ",
"IIIZIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIZIIIII",
"ZIIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIZIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.977081 | [
-0.16442149364329753,
-0.6957327329498812,
2.299168820753204,
-0.07916036252853581,
-0.13012603474617354,
-0.5964696024502328,
2.555944458137663,
0.16476842499232813,
0.032852520464509344,
0.8706719100254128,
0.6973040809797316,
0.05665965146437173,
-0.07342056275058775,
0.0547893713750023... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 82 |
407a5a03219a9cafdd5b5c6eddb9d22b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [374, 358], "expectation_value": -91.25286786657071, "params": [-0.0027, 0.6643, 0.897, 0.1695, 0.2521, 0.38280000000000003, 0.9025000000000001, -0.0177, 0.8819, 0.1923, 0.5733, 0.2076, -0.0029000000000000002, 0.6487, 0.8982, 0.0053, 0.8983000000000001, -0.16820000000000002, 0.2529, -0.341, -0.002, 0.6468, 0... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(8) @ Z(9)) + 1.0 * Z(2) + 21.5 * Z(1) + 20.0 * ... | 18 | 10 | 3 | {"smallest_eigenvalues": [-109.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["1010011001"], "largest_eigenvalue": 212.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.024494028914762864) q[0];
rz(-0.19298120792240459) q[0];
ry(0.5132753324807896) q[1];
ry(0.16323778813199513) q[2];
ry(0.41626128439551413) q[3];
ry(0.13784646265329456) q[4];
ry(-0.09335674490806925) q[5];
ry(-0.015973880218880694) q[6];
ry(0.2694348338527025) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZIIIIIZI",
"IIZIIZIIII",
"ZIZIIIIIII",
"IZIIIIZIII",
"IZIIZIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
1,
21.5,
20,
12.5,
10.5,
22.5,
1,
22.5,
-8.5,
-8
] | 0.973141 | [
-0.024494028914762864,
0.5132753324807896,
0.16323778813199513,
0.41626128439551413,
0.13784646265329456,
-0.09335674490806925,
-0.015973880218880694,
0.2694348338527025,
0.337869304564849,
-0.04502267645184946,
-0.38596241584480917,
0.0746197658917738,
0.19518855617138223,
0.3655562542012... | {
"n_parameters": 154,
"n_qubits": 10,
"optimal_eigenvalue": -109.5,
"target_ratio": 0.97,
"target_value": -106.215
} | 3 |
ffcd0fc316912896effff069eaf44063 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target":... | {"states": [143, 15], "expectation_value": -17.342245401776925, "params": [-0.0014, 1.9519000000000002, -0.006, 0.0077, -0.8086, 2.5081, 0.47540000000000004, 0.0049, 0.0031000000000000003, 1.2183000000000002, -0.0032, 0.007, 0.0031000000000000003, 1.2790000000000001, -0.0031000000000000003, 0.0074, 0.0027, 2.0187, -0.0... | -2.5 * (Z(2) @ Z(3)) + -2.5 * (Z(0) @ Z(3)) + -2.5 * (Z(0) @ Z(2)) + -3.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -2.... | 6 | 9 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["111110000"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.0454917161283008) q[0];
rz(3.008211060126329) q[0];
rx(-0.09873401066833193) q[1];
rz(-2.912088695472602) q[1];
rx(-0.032665023401076514) q[2];
rz(-2.8788542074004164) q[2];
rx(-0.0326650234010765) q[3];
rz(2.9723630807449553) q[3];
rx(0.020881984421748608) 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[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIZZIIIII",
"ZIZIIIIII",
"ZIIZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIZIIIII",
"... | [
-2.5,
-2.5,
-2.5,
-3,
1,
-2.5,
0.5,
0.5,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
-2,
-1.5,
1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970627 | [
0.0454917161283008,
1.4374147333314322,
-0.09873401066833193,
1.8003002849120882,
-0.03266502340107651,
1.8335347729842737,
1.4015667539500587,
0.020881984421748608,
1.2585903878153601,
-2.789368315987432,
1.6576834607620408,
2.4441259938485222,
0.5581507403685629,
-0.979114575933329,
0.... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 167 |
d6ef88caa86def69cf0a93d5f7ae1334 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 4, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [15, 31], "expectation_value": -3.639214553464091, "params": null, "bitstrings": ["110000", "100000"], "total_optimization_steps": 32, "probabilities": [0.36461455184422314, 0.36464526034654576], "optimization_time": 20.283504486083984} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.5 * Z(4) + -1.0 * Z(1) + -0.25 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000", "110000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.142596775395089) q[0];
h q[1];
ry(-2.805862209723741) q[2];
rz(-pi) q[2];
h q[3];
ry(1.6727279779329813) q[3];
cx q[3], q[2];
ry(-0.006612696294308967) q[2];
cx q[3], q[2];
h q[4];
ry(0.18808620509776625) q[4];
h q[5];
cx q[5], q[4];
ry(-0.1880862050977662... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIZIIZ",
"IIZZII",
"IZZIII",
"IZIZII",
"IIZIZI",
"ZIIIIZ",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
-0.25,
-0.25,
-1,
-0.25,
-1,
0.5,
-0.75,
2,
-0.25,
0,
-0.5,
-1,
-0.25
] | 0.977265 | [
1.6727279779329813,
0.3761724101955325,
1.2284531866345352,
0.427136098034033,
-2.285193550790178,
-0.23338856410801373,
-0.22032755357472006,
0.013225392588617935,
0.6739447709084712,
0.7214781933643197,
0.33930929519387343,
-2.1923364254591933,
0.19110177979600335,
0.7238842759854223,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 132 |
8e4b273e62e3bdbcb042f56fe9c0bd31 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [40, 42], "expectation_value": -2.17659934833692, "params": [0.5021, -0.0004, -0.0025, 0.3541, 0.5096, 0.0018000000000000002, 0.0844, 0.2642, 0.42610000000000003, 0.1353, 0.0806, 0.2999, 0.5052, -0.00030000000000000003, -0.0036000000000000003, 0.3482, 0.5086, 0.0036000000000000003, 0.0751, 0.2734000000000000... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(5) @ Z(2)) + -0.25 * Z(0) + -0.25 * Z(2) + -0.75 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) | 3 | 6 | 4 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["010101"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003570858544960076) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.003570858544960076) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.003570858544960076) q[1];
cx q[1], q[0];
rz(-0.11726358043627519) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZZIII",
"ZZIIII",
"ZIIZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5
] | 0.762533 | [
0.003570858544960076,
-0.11726358043627519,
-0.6462594328548128,
1.611929135236777,
0.6371699566376291,
0.9513101502862553,
0.03572501092869963,
0.07116209703665359,
-1.4784117063539257,
-0.06107024763807288,
0.8005656144892781,
0.538238114406948
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 320 |
-1304037010921842383 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 3], [1, 2], [8, 6], [3, 5], [1, 4], [5, 7], [8, 9], [10, 11], [3, 12]]} | {"states": [5996, 1900], "expectation_value": -0.08009042655699355, "params": [0.755, 0.7469, 0.738, 0.7282000000000001, 0.8556, 0.8552000000000001, 0.8356, 0.8433, 0.8483, 0.8435, 0.7286, 0.7233, 0.8677, 0.8652000000000001, 0.8562000000000001, 0.8638, 0.6924, 0.6938000000000001, 0.8841, 0.8613000000000001, 0.840900000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(12) @ Z(3)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(8) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(7) + 0.... | 13 | 13 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011101101100", "1100011001101", "1100011001011", "1100010010101", "1100010010011", "1010110010011", "01... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.7827173347934895) q[0];
rz(0.29449875486815325) q[0];
ry(0.26108690012250774) q[1];
ry(1.1957837491260161) q[2];
ry(1.4812354690837413) q[3];
ry(1.7424519825029614) q[4];
ry(0.26814152370931493) q[5];
ry(-0.4079416485224141) q[6];
ry(1.6963258148707892) 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": []} | [
"IIIIIIIIIZIIZ",
"IIIIIIIIIIZZI",
"IIIIZIZIIIIII",
"IIIIIIIZIZIII",
"IIIIIIIIZIIZI",
"IIIIIZIZIIIII",
"IIIZZIIIIIIII",
"IZZIIIIIIIIII",
"ZIIIIIIIIZIII",
"IIIIIIIIIZIII",
"IIIIIIIIIIIIZ",
"IIIIIIIIIIZII",
"IIIIIIIIIIIZI",
"IIIIIIZIIIIII",
"IIIIZIIIIIIII",
"IIIIIIIZIIIII",
"IIIIIIIIZII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970116 | [
0.7827173347934895,
0.26108690012250774,
1.1957837491260161,
1.4812354690837413,
1.7424519825029614,
0.26814152370931493,
-0.4079416485224141,
1.6963258148707892,
0.18873903397337288,
2.2301642887143953,
0.49066597772313447,
2.047473039596445,
0.3505534942926426,
0.5889975097363065,
0.03... | {
"n_parameters": 50,
"n_qubits": 13,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 68 |
-3147467557880542484 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 5], [3, 5, 6, 7], [1, 2, 5, 7], [2, 3], [2, 5, 6], [0, 4, 5], [4, 5, 6], [0, 1, 3, 6]]} | {"states": [92, 235], "expectation_value": -0.06329900136821132, "params": [[0.0717], [-0.059300000000000005]], "bitstrings": ["10100011", "00010100"], "total_optimization_steps": 10, "probabilities": [0.004134699776599802, 0.004153589443411287], "optimization_time": 1.6814792156219482} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1666666666666665, "smallest_bitstrings": ["00010100"], "largest_eigenvalue": 7.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.003846126295067861) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.003846126295067861) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.003846126295067861) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(0.003846126295067861)... | 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZZI",
"IIIIZZII",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZII",
"IIIZIIIZ",
"IIZZIIII",
"IZIZIIII",
"IIIIIIZ... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.41666666666666663,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.0833333... | 0.768382 | [
0.003846126295067861,
0.12552272669772702,
0.0020637376666745207,
0.8422939604829686,
3.1421904257492907,
0.9016008024893607,
1.5708585031019902,
-1.4667661476308997,
1.660510961875249,
-1.5761206809174584,
-1.4990433034046577
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 296 |
bbe36c72142a04c8b1698fed3f77c25c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [86, 54], "expectation_value": -2.0947827371901067, "params": null, "bitstrings": ["0101001", "1001001"], "total_optimization_steps": 51, "probabilities": [0.0730116655002035, 0.746544414918347], "optimization_time": 87.47581338882446} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 7 | 3 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.25, "smallest_bitstrings": ["0101100", "1001001", "0100110", "1000110", "1000011", "0101001"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.1871) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIIZZII",
"IIZIZII",
"IIZZIII",
"IIIZZIZ",
"IIZIZIZ",
"IIZZIIZ",
"IIZZZII",
"IIZZZIZ",
"IIIIZZI",
"IZIIIZI",
"ZIIIIZI",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"IZIIZZI",
"ZIIIZZI",
"ZZIIIZI",
"ZZIIZII",
"ZZIIZZI",
"IZIZIII",
"ZIZ... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.125,
-0.125,
0.25,
-0.125,
-0.125,
-0.125,
-0.125
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
-5591920024589002738 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [1, 3, 4, 6, 7], [5, 7], [0, 4]]} | {"states": [27, 11], "expectation_value": -1.6391625946712411, "params": null, "bitstrings": ["11100100", "11110100"], "total_optimization_steps": 62, "probabilities": [0.2732077250998293, 0.3352784276206694], "optimization_time": 95.49470973014832} | 0.5 * (Z(2) @ Z(6)) + 0.05 * (Z(1) @ Z(6)) + 0.05 * (Z(3) @ Z(6)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(4) @ Z(6)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(7) @ Z(6)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.1000000000000002 * Z(6... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.28582132193928705) q[0];
h q[1];
ry(-0.12550851487082385) q[1];
h q[2];
ry(-0.28582132193928705) q[2];
h q[3];
cx q[3], q[1];
ry(0.12550851487082385) q[1];
cx q[3], q[1];
ry(-0.17692205807016637) q[3];
cx q[1], q[3];
ry(0.17692205807016637) q[3];
cx q[1], ... | 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[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IIIIZIZI",
"IZIZIIII",
"IIIZIIZI",
"IIIZZIII",
"ZZIIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"IIIZIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIIZ"
] | [
0.5,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.5,
0.1000000000000002,
0,
0.1,
0.1,
0.09999999999999998,
0.09999999999999998,
0,
0
] | 0.971097 | [
-0.5716426438785741,
1.0869748377746675,
-0.6953366291260777,
0.9309561032368576,
0.8918884793684811,
-0.521692355848526,
-0.6244977524811653,
0.43480224584229776,
0.37177939058068354,
0.11891528224508932,
-0.3685725212967625,
-0.4556133433207383,
-0.48347545663476865,
0.20979298851322675,... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -1.7000000000000002,
"target_ratio": 0.97,
"target_value": -1.649
} | 12 |
ec558389e30bd7bb5460c94de21a4e69 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [3877, 3885], "expectation_value": -3.036171749525633, "params": [[[1.2974, 0.0017000000000000001], [1.2989000000000002, -0.0009000000000000001], [1.2982, -0.0013000000000000002], [1.2961, 0.001], [0.6732, 0.3052], [-0.0019, 0.8308000000000001], [1.3032000000000001, -0.0017000000000000001], [0.2936, 0.495100... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 12 | 2 | {"smallest_eigenvalues": [-4.6875, -4.6875, -4.6875, -4.6875], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.6875, "smallest_bitstrings": ["010001000101", "000011010010", "001001010001", "000101001010"], "largest_eigenvalue": 7.3125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.0055169282585947055) q[0];
rz(0.9588821086926842) q[0];
rx(1.476724804063016) q[1];
rz(0.2135243763826482) q[1];
rx(1.7661477053488295) q[2];
rz(-0.2222321886083236) q[2];
rx(-0.11609969448725246) q[3];
rz(0.7958855181517492) q[3];
rx(0.015202900550804409) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIZIIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIZIZIZ",
"IIIIIIIZZIIZ",
"IIIIIIIIZZZI",
"IIIIIIIZI... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25... | 0.979413 | [
-0.0055169282585947055,
0.6124871881449991,
1.4767248040630163,
0.3658644658852349,
1.7661477053488295,
0.10253519255719334,
-0.11609969448725246,
0.5354263853994,
0.015202900550804407,
0.5271296606702913,
1.8479479306989801,
0.07076800050304646,
0.19097211892772598,
0.3932307923249252,
... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 16 |
8c44c442a25e00dfae4e1647b2faf79f | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [6, 3], "expectation_value": -7.0656952876822015, "params": null, "bitstrings": ["11001", "11100"], "total_optimization_steps": 29, "probabilities": [0.13151145307142467, 0.6825224339075274], "optimization_time": 21.006601333618164} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 7 | 5 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
1.75,
2,
2,
1.75,
-2.75,
-2.5,
-2.75,
-2.5,
-2.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
7376273113135352303 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 5], [0, 1, 5, 7], [1, 4, 7], [1, 3], [3, 5, 6, 7], [2, 7], [0, 3, 7], [1, 5, 6], [3, 4, 5, 6], [0, 5, 6, 7]]} | {"states": [21, 29], "expectation_value": -0.006235613595395922, "params": [[-0.0233], [0.013000000000000001]], "bitstrings": ["11101010", "11100010"], "total_optimization_steps": 10, "probabilities": [0.003927165138552136, 0.003928371081753236], "optimization_time": 1.0713322162628174} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.6666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5833333333333326, "smallest_bitstrings": ["11100010"], "largest_eigenvalue": 8.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.3000350011663054) q[0];
h q[1];
ry(-0.4796952544709282) q[1];
h q[2];
ry(-0.6422134305084417) q[2];
h q[3];
cx q[3], q[1];
ry(0.4796952544709282) q[1];
cx q[3], q[1];
ry(-0.26519568427801493) q[1];
ry(1.1848695540889536) q[3];
h q[4];
ry(0.3575654861041520... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"IIIIIIZZ",
"IIIIZIZI",
"IIZIIIZI",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIZIIIII",
"ZIIIIIZI",
"IIIZZIII",
"IIZZIIII",
"IIIZIIZI",
"ZIIZIIII",
"IZIIIIIZ",
"IZIIZIII",
"IZZIIIII",
"IZIIIIZI",
"ZZIIIII... | [
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.25,
0.25,
0.08333333333333333,
0.5,
0.25,
0.5,
0.3333333333333333,
0.25,
0.25,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.166666666666666... | 0.976121 | [
1.4844373299180607,
1.4005404019902559,
-1.2844268610168834,
-0.9593905089418564,
0.8892932825188352,
-0.5303913685560299,
0.5911525431402369,
-0.3454236669504223,
0.7151309722083041,
-0.6000700023326108,
0.16925513351040655,
0.3583794734393785,
-0.07570198516011575,
-0.45690394543012397,
... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -2.6666666666666665,
"target_ratio": 0.97,
"target_value": -2.5866666666666664
} | 1 |
d081b5ece414d97b04408b0b42241cfc | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [1870, 1551], "expectation_value": -5.571029628757753, "params": [[0.10880000000000001], [-0.1757]], "bitstrings": ["00010110001", "00111110000"], "total_optimization_steps": 20, "probabilities": [0.0011935178986618514, 0.0012058801834633343], "optimization_time": 4.312234878540039} | 0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.375 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(8)) + -... | 1 | 11 | 1 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["00111110000"], "largest_eigenvalue": 36.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.5886822951887793) q[0];
rz(0.06203987904640096) q[0];
rx(0.3684099261178423) q[1];
rz(0.3348218640846716) q[1];
rx(0.008886848508656647) q[2];
rz(0.15365930854882714) q[2];
rx(0.2789766364531309) q[3];
rz(-0.20477518601672084) q[3];
rx(0.030111471164943775) 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] 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[11] c;
qubit[11] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIZIIIIZII",
"IIZZIIIIIII",
"IIZIIIIIZII",
"IIIZIIIZIII",
"IIIIIIIZZII",
"IIZIIIIZIII",
"IIIZIIZIIII",
"IIIIIIZIZII",
"IIZIIIZIIII",
"IIIIIIZZIII",
"IIIZIZIIIII",
"IIIIIZIIZII",
"IIZIIZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IZIIIIZII... | [
0.375,
0.5,
1,
0.5,
0.5,
0.375,
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,
2,
-0.5,
-0.5,
-1,
0.75,
0.75,
3.5,
0.75,
3.5,
0.75,
0.5,
-1,
4,
8,
-1.5
] | 0.973976 | [
0.5886822951887795,
0.08596177347016964,
0.36840992611784235,
0.15047685235525898,
0.008886848508656647,
0.2981601685176529,
0.27897663645313087,
-0.05594064637820155,
0.03011147116494378,
-0.003248166825648227,
-0.012056173888535658,
-0.17191262332465457,
0.08692174155409721,
-0.351149555... | {
"n_parameters": 153,
"n_qubits": 11,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 12 |
e776e7ca61722eeb2742e447edcfe87e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [115, 3], "expectation_value": -6.938446675286001, "params": [[0.13440000000000002, 0.0782, 0.0374], [-0.1499, -0.1313, -0.117]], "bitstrings": ["10001100", "11111100"], "total_optimization_steps": 20, "probabilities": [0.035431099431620455, 0.04666726920214951], "optimization_time": 4.530988931655884} | -0.25 * (Z(0) @ Z(5)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(5)) + -1.25 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -2.25 * Z(5) + -0.25 * Z(0) + 3.0 * Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["10001100", "11111100"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.034122336178231724) q[0];
h q[1];
ry(0.8302250352322847) q[1];
h q[2];
ry(0.8302250352322847) q[2];
h q[3];
ry(0.8302250352322847) q[3];
ry(-0.018743600585612252) q[4];
rz(-pi) q[4];
ry(-0.010377398900047474) q[5];
rz(-pi) q[5];
h q[6];
ry(1.66339586... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIZIIIIZ",
"IZZIIIII",
"IZIIIIIZ",
"IIZIIZII",
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZIIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
-0.25,
-1.25,
-0.5,
-1.25,
-1.25,
-0.5,
-1.75,
-0.5,
-1.25,
-1.25,
1,
-1,
-2.25,
-0.25,
3,
0.5,
2.75,
-0.75,
-3,
0
] | 0.996088 | [
1.6633958676674003,
1.6604500704645695,
1.5726364930700092,
-1.5381559222144467,
-1.4640852504813424,
-1.5109462333724724,
-0.17593495145588436,
-0.09894538904475342,
-0.13352548151736307,
0.04487367811379654,
-0.07630612422321119,
0.00679707587567183,
0.025077255090628234,
-0.146377886311... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 1 |
02575a12c565dc28617818fe7f0b4a99 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [123, 118], "expectation_value": -16.326992928513906, "params": [[0.047900000000000005, 0.0078000000000000005], [-0.0805, -0.051000000000000004]], "bitstrings": ["10000100", "10001001"], "total_optimization_steps": 10, "probabilities": [0.01145744031580427, 0.012889713607856897], "optimization_time": 3.14505... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 9.5 * Z(1) + 7.5 * Z(0) + 13.5 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.23507353246165305) q[0];
ry(-2.4415664310148384) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-2.4499701101813587) q[2];
h q[3];
ry(0.9227705559152606) q[3];
h q[4];
ry(-2.458330084571739) q[5];
rz(-pi) q[5];
h q[6];
ry(39.04965588622594) q[6];
cx q[6], q[5];
ry(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
9.5,
7.5,
13.5,
13.5,
9,
14,
16.5,
4
] | 0.971754 | [
39.04965588622594,
-5.700698017949098,
2.166064408115155,
0.9227705559152606,
0.39121486102403674,
0.6100929370927086,
0.9591104863918101,
0.19270892417635244,
-0.4759729115203181,
0.08905781936669226,
-0.26208726603383503,
-0.3379662386073564,
0.04072076886277337,
-0.19606358742522542,
... | {
"n_parameters": 63,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 51 |
16f78d4600a63f9e28571cad22ffe3ee | 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": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"weight": 11, "source": 2, "targ... | {"states": [231, 182], "expectation_value": -43.694755128467975, "params": null, "bitstrings": ["100011000", "101001001"], "total_optimization_steps": 100, "probabilities": [0.0839699571890289, 0.20964461840676027], "optimization_time": 176.5819673538208} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 148.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.06533991207500221) q[0];
rz(1.7673554067439534) q[0];
rx(0.22394717722886268) q[1];
rz(1.5834346747889922) q[1];
rx(0.5914177553622147) q[2];
rz(1.2988874808531223) q[2];
rx(0.7383563693045873) q[3];
rz(1.421982816396154) q[3];
rx(0.6418769613290847) q[4];
rz(1.784... | null | {"matching": "perfect", "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(0.5995) 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",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"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,
10,
-4,
14.5,
4,
18,
10.5,
15,
11,
6.5
] | 0.979432 | [
0.0653399120750022,
0.196559079949057,
0.2239471772288627,
0.012638347994095411,
0.5914177553622149,
-0.27190884594177434,
0.7383563693045871,
-0.14881351039874235,
0.6418769613290847,
0.21384660442009046,
0.8641840268522056,
0.23059727903605726,
0.11989875580688164,
-0.19251224406203676,
... | {
"n_parameters": 90,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 22 |
3c6a0f75571e718d8fbaf4d718e39505 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [49, 71], "expectation_value": -0.15881523830233293, "params": [[0.0444, -0.0011], [-0.041, -0.0154]], "bitstrings": ["1001110", "0111000"], "total_optimization_steps": 10, "probabilities": [0.008485940537727823, 0.008564235988380067], "optimization_time": 3.1952693462371826} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.024969263718757094) q[0];
rz(0.838466479483619) q[0];
ry(0.4543828048928915) q[1];
rz(0.9774482153118855) q[1];
cx q[1], q[0];
ry(-0.14349311077027735) q[1];
rz(0.14845698270035257) q[1];
ry(1.6406173499573802) q[2];
rz(-0.056617967186184705) q[2];
ry(1.6086760675... | OPENQASM 3.0;
include "stdgates.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",
"IIIIZIZ",
"IIIZIZI",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-2,
-1,
-1,
0
] | 0.973 | [
0.024969263718757094,
0.838466479483619,
0.4543828048928915,
0.9774482153118855,
1.6406173499573802,
-0.056617967186184705,
1.6086760675696128,
0.1312333854197392,
1.6971655849709717,
0.039777741379520844,
-0.01686345976190709,
0.22016387161090592,
1.5972859335962972,
-0.10288603590630956,... | {
"n_parameters": 38,
"n_qubits": 11,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 19 |
-2286651177694543539 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4, 5], [0, 6], [1, 3, 5], [0, 2, 5], [3, 4, 6], [0, 1, 2, 4], [1, 3, 4], [2, 4, 6], [2, 3]]} | {"states": [15, 78], "expectation_value": -2.669370268904005, "params": null, "bitstrings": ["1110000", "0110001"], "total_optimization_steps": 38, "probabilities": [0.05809280859196997, 0.8315169364765983], "optimization_time": 42.89670157432556} | 0.41666666666666663 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(4))... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.583333333333333, "smallest_bitstrings": ["0110001"], "largest_eigenvalue": 7.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-0.048850247460786686) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(0.007533481330137762) q[5];
cx q[4], q[5];
cx q[1], q[5];
cx q[4], q[0];
rz(0.01914884023641202) q[0];
cx q[4], q[0];
rz(-0.033531461102861565... | 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(1.5547) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIZIIZI",
"IZZIIII",
"IZIIIZI",
"IIZIIIZ",
"IIIIIZZ",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZZIII",
"IIIZIZI",
"IZIZIII",
"ZIIZIII",
"IIZIZII",
"IIIIZZI",
"IZIIZII",
"IIIIZIZ",
"ZIIIZII",
"IIIZZII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"III... | [
0.41666666666666663,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666,
0.25,
... | 0.699364 | [
-0.048850247460786686,
0.007533481330137762,
-0.033531461102861565,
0.01914884023641202,
1.2976745058437005,
0.011216090804109968,
1.5852408930765303,
-1.6767119196527536,
0.3898347609895406,
-1.187419303955196,
-1.213330154774481
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -2.833333333333334,
"target_ratio": 0.97,
"target_value": -2.748333333333334
} | 287 |
7647947041241372983 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4, 6, 7, 8], [0, 3, 4, 7, 8], [2, 5], [0, 1, 2, 3, 6], [2, 6, 7], [0, 4, 5, 7], [4, 5, 6, 7, 8], [3, 4, 5, 6, 7]]} | {"states": [446, 430], "expectation_value": -1.9354233559169127, "params": [1.6869, -0.0058000000000000005, 0.9056000000000001, 0.0053, 1.776, -0.0211, 1.3755000000000002, 0.0009000000000000001, 0.3378, -0.0038, -0.0013000000000000002, 0.0063, 1.7303000000000002, -0.0135, 1.2095, 0.0059, 1.0982, 0.29300000000000004, 0.... | 0.05 * (Z(1) @ Z(4)) + 0.15000000000000002 * (Z(6) @ Z(4)) + 0.1 * (Z(6) @ Z(1)) + 0.2833333333333333 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(1)) + 0.31666666666666665 * (Z(7) @ Z(6)) + 0.15000000000000002 * (Z(8) @ Z(4)) + 0.05 * (Z(8) @ Z(1)) + 0.1 * (Z(8) @ Z(6)) + 0.15000000000000002 * (Z(8) @ Z(7)) + 0.1333333333333333... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.083333333333334, -2.083333333333334, -2.083333333333334, -2.083333333333334], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.000000000000001, "smallest_bitstrings": ["001010001", "011010000", "001010000", "001110000"], "largest_eigenvalue": 7.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-2.366005839664812) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.06748405644407643) q[1];
h q[2];
ry(-0.5199226729277865) q[2];
ry(-2.3462353591500444) q[3];
rz(-pi) q[3];
h q[4];
ry(-0.4212005764554303) q[4];
h q[5];
cx q[5], q[2];
ry(0.5199226729277865) q[2];
cx q[5], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZI",
"IIZIZIIII",
"IIZIIIIZI",
"IZIIZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIZIIIZ",
"IIIIIIIZZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IIIIZZIII",
"IIIIIZIZI",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIIZIIZ",
"... | [
0.05,
0.15000000000000002,
0.1,
0.2833333333333333,
0.05,
0.31666666666666665,
0.15000000000000002,
0.05,
0.1,
0.15000000000000002,
0.13333333333333333,
0.05,
0.05,
0.13333333333333333,
0.05,
0.1,
0.05,
0.1,
0.1,
0.05,
0.1,
0.05,
0.21666666666666667,
0.16666666666666666... | 0.970744 | [
1.4538323354408038,
1.0502445634776114,
-1.039845345855573,
0.9393139593883738,
-0.5853376312212235,
0.5720393739488224,
-0.3468679758174123,
0.3338475609225968,
0.587926754359038,
-0.8424011529108606,
0.4145655170217539,
-0.5297999919156997,
0.22366985752957985,
0.5462642959700114,
-0.3... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -2.083333333333334,
"target_ratio": 0.97,
"target_value": -2.020833333333334
} | 2 |
9d1382902993d8e771af3489e0021226 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [242, 250], "expectation_value": -2.4016088374472484, "params": [0.629, 0.009600000000000001, 3.0909, 0.009000000000000001, 3.0962, 0.0046, 2.6748000000000003, 0.0046, 3.099, 0.004, 1.6098000000000001, 0.006900000000000001, -0.0022, 0.0033, 3.0998, 0.0064, 0.075, 0.0016, 0.008, 0.009600000000000001, 0.0046, ... | 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(... | 18 | 9 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.125, "smallest_bitstrings": ["100000101", "010010001", "000101100", "010001010"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5734866058128874) q[0];
ry(-3.049185198245095) q[1];
rz(-pi) q[1];
h q[2];
ry(1.356383431000579) q[2];
cx q[2], q[1];
ry(-0.11338480721692776) q[1];
cx q[2], q[1];
ry(0.08622704143012419) q[2];
rz(-pi) q[3];
ry(-0.08286575263427674) q[3];
ry(-0.06072020170... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZZIIIZ",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"IZZIIIIII",
"IZZIZIIII",
"IIIZIIZII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
-0.125,
0.125,
0.125,
0,
0,
-0.25,
0,
0
] | 0.994348 | [
-1.5734866058128874,
-1.636888113613539,
-1.4874054263622778,
1.356383431000579,
1.3650040642332704,
-0.04534139745877805,
0.22676961443385552,
-0.02917844896579387,
0.17245408286024838,
-0.03354793163126881,
0.029471096484107714,
0.07208817537219585,
0.1322483325046339,
-0.092611818275263... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
-8299092441863773983 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 6], [1, 3, 4, 7], [0, 4, 7], [2, 3, 5], [0, 1, 3, 5], [3, 5, 6, 7], [3, 4, 5, 7], [0, 2, 3, 4], [0, 1, 2, 4]]} | {"states": [253, 241], "expectation_value": -0.8375607437804302, "params": [0.904, 0.0018000000000000002, 0.8949, 0.0001, 0.897, -0.0022, 0.8994000000000001, 0.0038, 0.902, 0.002, 0.8933000000000001, 0.0031000000000000003, 0.9038, 0.0007, 0.8954000000000001, 0.0079, 0.8973000000000001, -0.0016, 0.8951, 0.0067, 0.8969, ... | 0.3333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.25 * (Z(4) @ Z(3... | 6 | 8 | 1 | {"smallest_eigenvalues": [-2.3333333333333335, -2.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3333333333333326, "smallest_bitstrings": ["00001110", "01100001"], "largest_eigenvalue": 9.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.5742861803778556) q[0];
h q[1];
ry(0.5853650363369377) q[1];
h q[2];
h q[3];
ry(1.6117121603558036) q[3];
h q[4];
ry(-0.28553955973114276) q[4];
h q[5];
ry(-0.34533472289394984) q[5];
h q[6];
ry(-0.4004450080609985) q[6];
cx q[1], q[6];
ry(0.400445008060998... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IZIIIIZI",
"IZIIIIIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIZIII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIIIZI",
"IIZIIIIZ",
"IZZIIIII",
"IIZIZIII",
"IIZZIII... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.3333333333333333,
0.08333333333333333,
0.16... | 0.973979 | [
1.6117121603558036,
1.5742861803778556,
-0.5710791194622855,
0.8454740788316739,
-0.617869553585165,
0.39772403299075837,
-0.5281762106674546,
0.505998033354934,
-0.6906694457878997,
0.433899662562399,
-0.6302386596746433,
0.2228535626481621,
-0.3619594985986324,
0.5853650363369377,
-0.8... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -2.3333333333333335,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 1 |
30e28b56cad01a233ddf0894e9b7eaa8 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [158, 117], "expectation_value": -0.05974076560102364, "params": [[0.0614, -0.0362], [-0.066, -0.0131]], "bitstrings": ["01100001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.004384739446045956, 0.004384739446045958], "optimization_time": 6.254369258880615} | 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(2)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(0) @ Z(2) @ Z(5)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(1) @ Z(3) @ Z(6)) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["10001010", "10010001", "01100001", "01001100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0007807485922482725) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0007807485922482725) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0007807485922482725) q[3];
cx q[0], q[3];
rz(1.5622291020438395) q[0];
rx(1.4230915336570904) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIZZZII",
"IIIIIZIZ",
"IIZIIIIZ",
"IIZIIZII",
"IIZIIZIZ",
"IIIIZIZI",
"IZIIIIZI",
"IZIIZIII",
"IZIIZIZI",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"ZZZIIIII",
"ZIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.25,
0,
0,
-0.25,
0,
0,
-0.25
] | 0.972429 | [
0.0007807485922482725,
-1.3071662634992012,
1.5622291020438395,
-1.2862359945840747,
-1.0589387496736589,
0.9999795518288292,
-1.3272444682674918,
-1.4806765325928763,
1.2864952173532251,
1.4230915336570904,
0.5883822012299551,
1.5647805208249972,
0.48419941054809135,
1.7953393898312842,
... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 47 |
486cc20bea42c1ab6a6365c5d3b03f44 | 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": [380, 372], "expectation_value": -99.19138762448753, "params": [-0.0011, 0.0002, 0.49310000000000004, 0.4943, 0.3149, 0.2791, 0.4864, 0.4897, 0.464, 0.4636, 0.4793, 0.4726, 0.2727, 0.2651, 0.4958, 0.49010000000000004, -0.0044, 0.0027, 0.0787, 0.0784, -0.007200000000000001, -0.0035, 0.4882, 0.4891000000000000... | 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(1) @ Z(3)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(7)) + 6.5 * (Z(5) @ Z(7)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(9) @ Z(7)) + 23.0 * Z(3) + 3.0 * Z(2) + 16.0 * ... | 14 | 10 | 3 | {"smallest_eigenvalues": [-115.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.5, "smallest_bitstrings": ["1010001011"], "largest_eigenvalue": 221.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.017911965933019337) q[0];
rz(pi/2) q[0];
ry(0.7424867049191346) q[1];
ry(0.33601983578308775) q[2];
ry(0.39345522757266704) q[3];
ry(0.31968944299253327) q[4];
ry(0.5630891531633062) q[5];
ry(0.24428115534196765) q[6];
ry(0.669419003855079) q[7];
ry(-0.4536003741... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIIIZZI",
"IIZIIIZIII",
"IIIIIZIIZI",
"IIZIIZIIII",
"IIZIZIIIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"ZIIIIIZIII",
"ZIZIIIIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIZIIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
23,
3,
16,
28,
20,
13,
9.5,
1.5,
-11,
-12
] | 0.970114 | [
-0.017911965933019337,
0.7424867049191346,
0.33601983578308775,
0.39345522757266704,
0.31968944299253327,
0.5630891531633062,
0.24428115534196765,
0.669419003855079,
-0.4536003741693625,
-0.026170939555395442,
-0.10740222614610061,
-0.09771613374013331,
0.18420672812111422,
0.2985140359191... | {
"n_parameters": 115,
"n_qubits": 10,
"optimal_eigenvalue": -115.5,
"target_ratio": 0.97,
"target_value": -112.035
} | 17 |
622d839e3a993053d188056ec230b393 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"sour... | {"states": [3, 251], "expectation_value": -7.042918325279877, "params": [-0.1323, 1.1884000000000001, 0.6445000000000001, 1.4004, -0.35850000000000004, 1.5374, 0.44670000000000004, 1.556, -0.47950000000000004, 1.8394000000000001, 0.2452, 1.1945000000000001, -0.4369, 1.4922, 0.29650000000000004, 1.3922, -0.6604, 2.379, ... | -1.5 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(3) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(5) | 6 | 8 | 2 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00000100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.08746819744785468) q[0];
h q[1];
h q[2];
ry(0.7557136738944998) q[2];
h q[3];
ry(-0.026052888384864047) q[3];
cx q[1], q[3];
ry(0.026052888384864047) q[3];
cx q[1], q[3];
cx q[3], q[0];
ry(1.489103817443877) q[1];
cx q[1], q[2];
ry(-0.7557136738944998) 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[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIZIZI",
"IIIIIIZZ",
"IIIIZZII",
"IIIIIZZI",
"IIIZIIZI",
"IIIZIZII",
"ZZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII",
"IIZIIIII"
] | [
-1.5,
-2,
0.5,
0.5,
-2,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.9742 | [
-0.05210577676972809,
1.489103817443877,
1.5114273477889997,
0.17493639489570936,
0.7716576166382672,
2.3234066334381076,
2.024459377772184,
0.2839448729267997,
-1.1699202441567242,
-0.20551372774737423,
-0.673069837730026,
-0.24032692467230005,
0.6527422891376282,
0.06709001280053276,
0... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 134 |
b7602418da2fb1da8d0e3bf56e052253 | 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": 2}, {"source": 2, "target": 4}, ... | {"states": [80, 39], "expectation_value": -1.6836814475862827, "params": [[-0.06670000000000001, -0.0753, -0.0717, -0.0524], [0.0603, 0.0719, 0.0727, 0.0637]], "bitstrings": ["0101111", "1011000"], "total_optimization_steps": 10, "probabilities": [0.01920851170155881, 0.021958569580335107], "optimization_time": 5.67590... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5) + -1.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.19413541781266302) q[0];
rz(0.4737143075248884) q[0];
rx(1.3481450265531563) q[1];
rz(0.7101312274980032) q[1];
rx(0.08114689032242231) q[2];
rz(0.39298482269195745) q[2];
rx(0.05382342065610063) q[3];
rz(-0.4688239600116697) q[3];
rx(1.4947674538218447) 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": []} | [
"IIIIIZZ",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IZIZIII",
"IIIIZZI",
"IIZIZII",
"IZIIZII",
"ZIIZIII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-0.5,
-1,
-1.5,
-0.5
] | 0.970244 | [
-0.19413541781266297,
0.4032852255685598,
1.3481450265531563,
0.35847725960509413,
0.08114689032242232,
0.23884228912775574,
0.05382342065610062,
-0.3631398892310509,
1.4947674538218447,
0.14683342555344495,
1.7859017636948948,
0.04798825882582202,
1.7853225188419513,
0.28173152310392174,
... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 21 |
3548e6a53fe7f33eccefb9f4fe0aae2f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 4, "source": 3, ... | {"states": [31, 127], "expectation_value": -1.4226635058240948, "params": [[-0.06770000000000001, -0.0674, -0.0702], [0.0702, 0.06470000000000001, 0.0688]], "bitstrings": ["11100000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007655987135255196, 0.008530527391938287], "optimization_time": 3.66359... | 0.25 * (Z(0) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(7)) + -1.25 * (Z(4) @ Z(5)) + -0.25 * (Z(6) @ Z(5)) + -1.25 * Z(7) + -0.25 * Z(0) + -1.0 * Z(1) + 1.25 * Z(2) + 0.75 * Z(3) + -1.0 * Z(5) + 1.25 * Z(4) + 0.25 * Z(6) | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000000", "11000000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.20128190913001) q[0];
ry(0.06916472163768679) q[1];
ry(0.015663676468062392) q[2];
ry(0.19038815846766552) q[3];
ry(-0.15396474331331922) q[4];
ry(0.17130891105735244) q[5];
ry(-2.0689069311650736) q[6];
ry(3.088672280705279) q[7];
cx q[7], q[0];
cx q[6], q[7];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"IIIIIZZI",
"ZIIIZIII",
"IIIIZZII",
"ZIZIIIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII"
] | [
0.25,
-1,
-1,
-0.25,
-0.5,
-1.25,
-0.25,
-1.25,
-0.25,
-1,
1.25,
0.75,
-1,
1.25,
0.25
] | 0.970012 | [
1.20128190913001,
0.06916472163768679,
0.015663676468062392,
0.19038815846766552,
-0.15396474331331922,
0.17130891105735244,
-2.0689069311650736,
3.088672280705279,
0.961256083889363,
-2.2180829622012572,
0.06259172568247467,
-0.019184601799460674,
0.022320144500481698,
0.13323763239951938... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 87 |
5e7964b8471c661cab4557e1a3bf343c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [2047, 2039], "expectation_value": -20.760237176875503, "params": [[[-0.0026000000000000003, 2.7038], [-0.0029000000000000002, -0.0026000000000000003], [-0.0035, -0.0031000000000000003], [-0.0035, -0.0031000000000000003], [-0.003, -0.0031000000000000003], [-0.0028, -0.003], [-0.0026000000000000003, -0.003], ... | -2.5 * (Z(0) @ Z(1)) + -2.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + 1.0 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + -2.5 * (Z(4) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(7) @ Z(10)) + ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["00000001000"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.03480468106921476) q[0];
ry(0.036896727699507095) q[1];
ry(-0.0634707853782444) q[2];
ry(-0.0634707853782444) q[3];
ry(-0.05949660602164486) q[4];
ry(0.0140253352647125) q[5];
ry(0.03480468106921476) q[6];
ry(2.515807875937143) q[7];
ry(-0.0901549815504677) 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] 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... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIIZZIIIII",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"IIIIIIIZZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIZIIII... | [
-2.5,
-2,
-2.5,
1,
-2.5,
1,
-2.5,
1.5,
-2.5,
-2.5,
-1.5,
-2,
0.5,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1.5,
-1,
0.5,
0.5
] | 0.975015 | [
0.03480468106921476,
0.036896727699507095,
-0.0634707853782444,
-0.05949660602164486,
0.0140253352647125,
2.515807875937143,
-0.0901549815504677,
0.05694379171274434,
0.0414797641657597,
3.0959164722150594,
0.07944490274695049,
-0.1561871629175934,
-0.09681652911578556,
-0.0531752109731497... | {
"n_parameters": 14,
"n_qubits": 11,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 16 |
5685d04b4306b22ae56a2bbc733b9334 | 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": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [42, 81], "expectation_value": -0.20303734984455918, "params": [[0.068], [-0.0604]], "bitstrings": ["1010101", "0101110"], "total_optimization_steps": 10, "probabilities": [0.008673390943875528, 0.008798395882399977], "optimization_time": 3.033647060394287} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -1.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1010101", "0110110", "0110101", "0101110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.49282358549026595) q[1];
cx q[0], q[1];
ry(0.49282358549026595) q[1];
cx q[0], q[1];
ry(1.1446259845620295) q[0];
ry(-0.6888141989310146) q[1];
ry(-0.19217653237367516) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4112833892421122) q[3];
cx q[3], q[0];
ry(-0.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-2,
-1,
-1,
-0.5,
-1
] | 0.996069 | [
-1.512573322416855,
-1.2799726973009975,
1.4112833892421122,
1.4283200724327585,
-0.9856471709805319,
0.8613116077479857,
-0.19729419424044806,
-0.5757332536939542,
0.5666287536280875,
-0.22616189047412066,
0.13268498545644442,
-0.19868435239417664,
-0.1201447435527441,
0.2739459079713497,... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [7, 3], "expectation_value": -11.116030185165867, "params": [[[0.401, 0.002], [0.4081, 0.0082], [0.39930000000000004, 0.008400000000000001], [1.5414, 0.0098], [1.6978, 0.0098], [1.7025000000000001, 0.0074]]], "bitstrings": ["111000", "111100"], "total_optimization_steps": 170, "probabilities": [0.13682152964... | 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)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5... | 1 | 6 | 1 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) q[4... | 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;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"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,
2.5,
2.25,
2.5,
2.5,
2.5,
-6,
-6,
-6,
-5.75,
-5.5,
-5.25
] | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
-8480892412568612317 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3], [1, 2], [0, 3], [3, 4], [0, 5]]} | {"states": [11, 42], "expectation_value": -2.206348707838445, "params": null, "bitstrings": ["110100", "010101"], "total_optimization_steps": 37, "probabilities": [0.05599276003120494, 0.8149320025224146], "optimization_time": 27.882622003555298} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101010", "010101"], "largest_eigenvalue": 2.5} | 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[2];
rz(0.8563570563541485) q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(0.8563570563541485) q[1];
cx q[2], q[1];
rz(3.1684530554798584e-09) q[1];
rx(-0.7853981805581317) q[1];
rz(3.1684530554798584e-09) q[2];
rx(-0.7853981805581317) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIZZII",
"IIIZZI",
"IIZIIZ",
"IZZIII",
"ZIIIIZ",
"IIZIII",
"IIIZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.521919 | [
0.8563570563541485,
3.168453226574371e-9,
-0.7853981805581316
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 86 |
74a9039e61abdfc370e0e9ccbda58085 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [33, 34], "expectation_value": -2.5990800713440496, "params": null, "bitstrings": ["011110", "011101"], "total_optimization_steps": 17, "probabilities": [0.07397724748225105, 0.9005658146173622], "optimization_time": 16.373762369155884} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.625, -2.625, -2.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.625, "smallest_bitstrings": ["011110", "101101", "011101"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.477440440231795) q[0];
ry(-0.06728346725284151) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.022464637706429983) q[2];
ry(-0.14026191198045032) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-0.5587307208019142) q[5];
cx q[4], q[5];
ry(0.5587307208019142) q[5];
cx q[4],... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5158) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIIZ",
"IZIIIZ",
"IIIZIZ",
"IZZIII",
"IIZZII",
"IZIZII",
"IZZIIZ",
"IIZZIZ",
"IZIZIZ",
"IZZZII",
"IZZZIZ",
"ZIIIZI",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.125,
-0.5,
-0.625,
-0.125,
-0.625,
-0.5
] | 0.985036 | [
-1.51259205572021,
-1.455297284188031,
-1.5790493769346474,
1.477440440231795,
-1.1174614416038284,
0.8138164984265778,
-0.3239264793788754,
0.4355121917407859,
-0.29038767173572155,
-0.09643115070804845,
-0.028423175133358375,
0.06490628447523733,
0.1641152818115272,
-0.1905830969119133,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -2.625,
"target_ratio": 0.97,
"target_value": -2.54625
} | 1 |
272b7f7d40fcddb1ed0126c6a9e7e713 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [113, 112], "expectation_value": -3.655793740357431, "params": [0.49520000000000003, 0.0022, 0.4998, 0.0034000000000000002, 0.4975, -0.0083, 0.0218, 0.1759, 0.20070000000000002, 0.22030000000000002, 0.0055000000000000005, 0.2684, 0.3304, 0.0903, 0.4989, 0.0024000000000000002, 0.5009, 0.0012000000000000001, 0... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -2.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(6) | 4 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111010", "0101011", "0001111", "0011110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5268184527905595) q[0];
h q[1];
ry(-0.5863849301185132) q[1];
h q[2];
ry(-0.4467903536096225) q[2];
h q[3];
ry(-1.5326453727678047) q[3];
h q[4];
cx q[4], q[1];
ry(0.5863849301185132) q[1];
cx q[4], q[1];
ry(-0.785942860310472) q[1];
ry(1.01648887962512) 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": []} | [
"IZIIIIZ",
"IZIIIZI",
"IZIZIII",
"IIIZIZI",
"IZZIIII",
"IIZIIZI",
"IIZZIII",
"IIIZZII",
"ZIIZIII",
"ZIIIZII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-2,
-1,
-0.5,
-0.5
] | 0.99626 | [
-1.5326453727678047,
-1.4626085534216924,
1.5268184527905595,
-1.1727698602370265,
-0.893580707219245,
0.7397924109858606,
-0.5748230132779608,
0.5533929372785191,
-0.4222396940650226,
0.25940882549724836,
0.26179430582524343,
-0.14133766437944584,
-0.032494331004286475,
0.0123514396363018... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
527397673642175228 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[1, 3], [0, 2, 3]]} | {"states": [11, 9], "expectation_value": -0.5720170414388479, "params": [[[2.3436, 0.0078000000000000005], [0.47800000000000004, 0.0098], [1.4966000000000002, 0.0046], [2.7064, 0.0012000000000000001]]], "bitstrings": ["0100", "0110"], "total_optimization_steps": 270, "probabilities": [0.3537589744933308, 0.410368376873... | 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666663 * Z(3) + 0.0 * Z(1) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1100", "0110", "0001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rx(2.75357209625061) q[0];
rz(-0.06295520530188722) q[0];
rx(0.12196979727393088) q[1];
rz(-0.4687691959391537) q[1];
rx(-0.12983631214355906) q[2];
rz(-0.2231624506912386) q[2];
rx(3.060481353988891) q[3];
rz(0.3146097028582111) 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[4] c;
qubit[4] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q[2];
rz(x5) q[2];
rx(x6) q[3];
rz(x7) q[... | null | {"circuits": [], "gradients": []} | [
"ZIZI",
"ZIIZ",
"ZZII",
"IZIZ",
"ZIII",
"IIZI",
"IIIZ",
"IZII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0,
0.16666666666666666,
0.16666666666666666
] | 0.976457 | [
2.75357209625061,
-0.06295520530188722,
0.12196979727393088,
-0.4687691959391537,
-0.12983631214355906,
-0.2231624506912386,
3.060481353988891,
0.3146097028582111
] | {
"n_parameters": 8,
"n_qubits": 4,
"optimal_eigenvalue": -0.8333333333333333,
"target_ratio": 0.97,
"target_value": -0.8083333333333332
} | 13 |
9c1488898ca3fd0dde0c453ca568cbec | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 2, "target": 3}, {"s... | {"states": [0, 8191], "expectation_value": -16.437260685142594, "params": [[[0.002, 1.6139000000000001], [0.0016, 0.002], [0.0024000000000000002, 0.0018000000000000002], [0.0024000000000000002, -0.003], [0.002, 0.0022], [0.002, 0.0019], [0.0043, 0.0026000000000000003], [0.0033, 0.7531], [0.0026000000000000003, 0.003100... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(6) @ Z(0)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(7)) + -1.5 * (Z(10) @ Z(9)) + -1.5 * (Z(11) @ Z(12)) + -1.5 * (Z(2) @ Z(12)) + 0.5 * (Z(2) @ Z(11)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4... | 15 | 13 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["0000000000000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.04851167693493274) q[0];
ry(-0.17565881797179733) q[1];
ry(-0.14743237494238062) q[2];
ry(-0.14743237494238062) q[3];
ry(0.04851167693493274) q[4];
ry(0.04851167693493274) q[5];
ry(-0.04361641403543828) q[6];
ry(0.21199686934908732) q[7];
ry(0.09783709181926509) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIZIIIIZI",
"IIIIIIZIIIIIZ",
"IIIIZZIIIIIII",
"IIIZZIIIIIIII",
"IIIZIZIIIIIII",
"IIZIZIIIIIIII",
"IIZIIZIIIIIII",
"IIZZIIIIIIIII",
"ZZIIIIIIIIIII",
"ZIIIIIIIIIZII",
"IZIIIIIIIIZII",
"IIIIIIIIZZIII",
"IIIIIIIZZIIII",
"IIIIIIIZIZIII",
"IIIIIIIIIIIZI",
"IIIIIIIIIII... | [
-1.5,
0.5,
-2,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.978486 | [
0.04851167693493274,
-0.17565881797179733,
-0.14743237494238062,
-0.04361641403543828,
0.21199686934908732,
0.09783709181926509,
0.10501804984070624,
0.058696396130636076,
-0.07155862063466532,
3.1327955824801133,
0.09530107457066722,
0.038442870031577064,
-0.055692118462379814,
-0.0424527... | {
"n_parameters": 17,
"n_qubits": 13,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 22 |
455f6f23bf51d98ac570bfc0b0837643 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [759, 1015], "expectation_value": -15.877655734808414, "params": null, "bitstrings": ["0100001000", "0000001000"], "total_optimization_steps": 100, "probabilities": [0.0757060896383955, 0.331939395188746], "optimization_time": 264.5155506134033} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 1.0 * (Z(9) @ Z(6)) + -2... | 1 | 10 | 1 | {"smallest_eigenvalues": [-30.0, -30.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -29.0, "smallest_bitstrings": ["0000001000", "0000011111"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6599147528265946) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.6599147528265946) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.6789291006186039) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.6599147528265946) q[3];
cx q[1], q[3... | null | {"node": 7} | {"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[9], 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] = measu... | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"ZIIZIIIIII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI"... | [
-2.5,
-2.5,
-2,
-2.5,
-2.5,
-2.5,
-2.5,
1,
1,
-2.5,
-2.5,
0.5,
-2.5,
1,
-2.5,
-2.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1.5,
1,
-2,
0.5
] | 0.603044 | [
-0.6599147528265946,
-0.6789291006186039,
-0.2903953061471803,
-0.10323439881670754,
-1.1529133101981341,
-0.4727966313602859,
-1.032663962224838
] | {
"n_parameters": 7,
"n_qubits": 10,
"optimal_eigenvalue": -30,
"target_ratio": 0.97,
"target_value": -29.099999999999998
} | 189 |
d4f5f2b94c32a6a907c70f32afb819f2 | 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": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [48, 204], "expectation_value": -3.6420616730396898, "params": [[[0.49910000000000004, 0.0407, 0.0033, 0.0099], [0.4781, -0.23470000000000002, 0.2906, 0.1236], [0.0196, -0.38630000000000003, -0.0149, -0.40940000000000004], [0.0221, -0.248, 0.2323, -0.2891], [0.505, 0.0047, 0.2869, 0.0057], [0.500400000000000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(6) + -0.5 * Z(0) + -1.0 * Z(7) + -1.0 * Z(2) + -0.5 * Z(1) + -1.0 * Z(3) + -1.0 * Z(4) + -0... | 11 | 8 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["00110011"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.22855309577496752) q[0];
rz(-0.5059886500307152) q[0];
ry(0.3832023568251272) q[1];
rz(-1.0247757500368895) q[1];
cx q[1], q[0];
ry(0.3237890681233404) q[0];
rz(0.05653867319211378) q[0];
ry(0.028720882037835606) q[1];
rz(0.28764896141481755) q[1];
ry(-0.2164107309... | 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": []} | [
"IZIIIIIZ",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIIZZI",
"IIIIZIZI",
"ZIIZIIII",
"IIIZIZII",
"IIIZZIII",
"IZZIIIII",
"IIZIZIII",
"IZIIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"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,
-1,
-1,
-0.5,
-1,
-1,
-0.5
] | 0.971502 | [
0.22855309577496752,
-0.5059886500307152,
0.3832023568251272,
-1.0247757500368895,
-0.21641073093662644,
-0.5128279112677481,
0.014169051825380901,
0.06973588588119262,
0.6121007319735758,
-0.16958262009015002,
0.185275548014747,
-0.0008813938926474363,
0.3446567743748129,
0.16588406227409... | {
"n_parameters": 110,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 129 |
1779337858150862282 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [4, 5], [1, 2, 3]]} | {"states": [13, 14], "expectation_value": -0.025337564954546452, "params": [[0.0698], [-0.0737]], "bitstrings": ["110010", "110001"], "total_optimization_steps": 10, "probabilities": [0.01642988317683093, 0.01642988317683093], "optimization_time": 0.4063882827758789} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666663 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(4) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["000110", "101010", "101001", "000101", "110001", "110010"], "largest_eigenv... | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.43608149127541257) q[0];
h q[1];
ry(-0.39507147077412164) q[1];
h q[2];
cx q[2], q[1];
ry(0.39507147077412164) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
ry(0.43608149127541257) q[0];
cx q[3], q[0];
ry(-0.8167512694028205) q[0];
ry(1.4251585067028727) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[3], q[1];
rz(x1) q[1];
cx q[3], q[1];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"ZZIIII",
"IIZIZI",
"IIZZII",
"IIIZZI",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIIZI",
"IIIZII"
] | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0,
0,
0,
0.16666666666666666,
0.16666666666666666
] | 0.97239 | [
-0.8721629825508251,
1.2258375162277393,
-0.6742711981397779,
0.7434732085699054,
0.39864198095026737,
-0.6363869775089136,
0.689041467135639,
-0.23345399346488632,
-0.2849601425260853,
-0.7901429415482433,
0.16936556831015587,
-0.33776156269183444,
0.8187425775144885,
-0.02694383255461527... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -1.3333333333333335,
"target_ratio": 0.97,
"target_value": -1.2933333333333334
} | 11 |
8e4b273e62e3bdbcb042f56fe9c0bd31 | 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": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [3, 19], "expectation_value": -1.4916249158712227, "params": [0.033100000000000004, 0.0332, 0.19890000000000002, 0.1998, 0.1295, 0.1345, 0.14020000000000002, 0.1433, 0.2069, 0.2069, 0.20040000000000002, 0.2015, 0.032100000000000004, 0.029, 0.19970000000000002, 0.19790000000000002, 0.1301, 0.1253, 0.140700000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) | 14 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["110100", "101100", "101001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003570858544960076) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.003570858544960076) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.003570858544960076) q[1];
cx q[1], q[0];
rz(-0.11726358043627519) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"ZIIIIZ",
"IZIIIZ",
"IIIZZI",
"ZIZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
0,
-0.5,
-0.5
] | 0.762533 | [
0.003570858544960076,
-0.11726358043627519,
-0.6462594328548128,
1.611929135236777,
0.6371699566376291,
0.9513101502862553,
0.03572501092869963,
0.07116209703665359,
-1.4784117063539257,
-0.06107024763807288,
0.8005656144892781,
0.538238114406948
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 320 |
eaf152c9366c1fc70b9994ec462b6b4c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 19, "source": 0, "target": 2}, {"weight": 12, "source": 0, "target": 3}, {"weight": 1... | {"states": [123, 122], "expectation_value": -31.848070256314145, "params": [[0.0245, 0.0025, -0.0024000000000000002, -0.0064], [-0.0765, -0.065, -0.0567, -0.038400000000000004]], "bitstrings": ["10000100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.013375013929402426, 0.01684761733082528], "optimi... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 167.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.6888090260409325) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.6888090260409325) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.6888090260409325) q[1];
cx q[2], q[1];
rz(0.6888090260409325) q[3];
cx q[0], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
16.5,
8.5,
16.5,
20.5,
12.5,
5,
20.5,
7.5
] | 0.97417 | [
0.6888090260409325,
-0.8365933516710795,
0.4055984428236141,
-0.5984647884441731,
0.6289659276331325,
0.03651754152469934,
-0.5975771749548225,
-0.20606642446438989,
0.7006882864312995,
-0.769960966506855,
-1.1910601522991142,
-0.06878545903780295,
-0.25779646726100014,
0.6591243819959086,... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 36 |
50803b752054f0512687e537ee7368f9 | community_detection | qaoa | {"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": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 3, "target": 5}, {"weight": 1, "... | {"states": [2709, 1386], "expectation_value": -0.016459293660454784, "params": [[-0.07350000000000001], [0.0758]], "bitstrings": ["010101101010", "101010010101"], "total_optimization_steps": 10, "probabilities": [0.00026087909688423967, 0.0002608790968842398], "optimization_time": 5.642068862915039} | 0.25 * (Z(0) @ Z(1)) + -0.0015 * (Z(2) @ Z(0)) + -0.0015 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0005000000000000001 * (Z(4) @ Z(0)) + -0.0020000000000000005 * (Z(4) @ Z(2)) + 0.0005000000000000001 * (Z(5) @ Z(1)) + -0.0020000000000000005 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0005000000000000001 * (Z(6) @ Z(0))... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.519499999999999, -1.519499999999999], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5154999999999998, "smallest_bitstrings": ["101010010101", "010101101010"], "largest_eigenvalue": 1.5205000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-3.118963683468091) q[0];
ry(-0.017918109517936636) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5232555292397325) q[2];
ry(-0.11982451051349112) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.0455035030484382) q[3];
cx q[2], q[3];
cx q[2], q[0];
ry(-0.07016976767686646) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0... | {"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,
-0.0015,
-0.0015,
0.25,
0.0005000000000000001,
-0.0020000000000000005,
0.0005000000000000001,
-0.0020000000000000005,
0.25,
0.0005000000000000001,
0.0005000000000000001,
0.00025000000000000006,
0.0005000000000000001,
0.0005000000000000001,
0.00025000000000000006,
0.25,
-0.0015,... | 0.997671 | [
-1.5523952299069044,
-1.4054683132329673,
1.5232555292397325,
-0.0910070060968764,
0.14033953535373292,
-0.02773759371322497,
-0.0009659747401112133
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
28867858393139810 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3, 4, 5], [0, 1, 2, 6], [2, 3, 4, 5, 6], [1, 4, 5], [0, 2, 3, 4, 6], [0, 2, 5, 6], [0, 1, 3, 6]]} | {"states": [59, 122], "expectation_value": -0.690895903280086, "params": [[0.2742], [-0.27790000000000004]], "bitstrings": ["1000100", "0000101"], "total_optimization_steps": 30, "probabilities": [0.013572231654288565, 0.013572231654288565], "optimization_time": 2.8805902004241943} | 0.26666666666666666 * (Z(0) @ Z(2)) + 0.15000000000000002 * (Z(3) @ Z(2)) + 0.18333333333333335 * (Z(3) @ Z(0)) + 0.15000000000000002 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.15000000000000002 * (Z(4) @ Z(3)) + 0.18333333333333335 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.1 * (Z(5) @ Z(3)) + 0.26666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.6833333333333333, -1.6833333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6, "smallest_bitstrings": ["0000101", "1000100"], "largest_eigenvalue": 7.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(3.0160767268068214) q[0];
rz(0.11532702066726058) q[0];
rx(2.989183811506595) q[1];
rz(-0.7259598641117783) q[1];
rx(2.982192830937119) q[2];
rz(-0.42987159590638235) q[2];
rx(3.009389391669158) q[3];
rz(0.20741221953664019) q[3];
rx(0.31399664122819576) q[4];
rz(0.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"IIIIZZI",
"IIIIIZZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZ... | [
0.26666666666666666,
0.15000000000000002,
0.18333333333333335,
0.15000000000000002,
0.1,
0.15000000000000002,
0.18333333333333335,
0.13333333333333333,
0.1,
0.26666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.2... | 0.971466 | [
3.0160767268068214,
0.11532702066726058,
2.989183811506595,
-0.7259598641117783,
2.982192830937119,
-0.42987159590638235,
3.009389391669158,
0.20741221953664019,
0.31399664122819576,
0.6452118041644099,
2.7331271109934145,
-1.0884903685089706,
0.011017034988569888,
-0.5515022008305489
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -1.6833333333333333,
"target_ratio": 0.97,
"target_value": -1.6328333333333334
} | 18 |
2782377586474911333 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4, 5, 6], [8, 2, 7], [5, 7], [0, 2], [1, 2, 4, 5], [8, 1], [1, 3, 5]]} | {"states": [105, 121], "expectation_value": -2.5627818959351223, "params": null, "bitstrings": ["110010110", "110000110"], "total_optimization_steps": 53, "probabilities": [0.08865208326152185, 0.7216052086255242], "optimization_time": 94.29349327087402} | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.666666666666666, -2.666666666666666], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.583333333333333, "smallest_bitstrings": ["100001001", "110000110"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.08717396978563909) q[2];
cx q[4], q[2];
h q[5];
cx q[4], q[5];
rz(-0.08717396978563909) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(-0.08717396978563909) q[5];
cx q[2], q[5];
h q[6];
cx q[4], q[6];
rz(0.00612124511... | 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(1.3603) 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] = m... | [
"IIIIZIZII",
"IIIZZIIII",
"IIIZIIZII",
"IIZIZIIII",
"IIZIIIZII",
"IIZZIIIII",
"ZIIIIIZII",
"IZIIIIZII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIIIZZI",
"IIIZIIIZI",
"ZIIIIIIZI",
"IIIZIZIII",
"IIIIIZIZI",
"IIIIZIIII",
"IIIIIIZII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.08333333333333333,
0.08333333333333333,
0.25,
0.5,
0.16666666666666666,
0.166666666... | 0.652028 | [
-0.08717396978563909,
0.006121245113913856,
-1.521592089351952,
-0.023036542447408322,
-1.4701594435679426,
0.029337016549537645,
-1.5866727894238424,
-0.03072211185327921,
0.05990971297302974,
0.8156968905023204
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -2.666666666666666,
"target_ratio": 0.97,
"target_value": -2.586666666666666
} | 254 |
ce16507f4df4b68459e3b5a73265e8de | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [892, 1023], "expectation_value": -11.4738454970596, "params": null, "bitstrings": ["0010000011", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.08554027293416497, 0.48988994516617307], "optimization_time": 154.80033111572266} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(2) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.7665170727936429) q[0];
h q[1];
h q[2];
h q[3];
ry(0.1734425697228132) q[3];
cx q[1], q[3];
ry(-0.1734425697228132) q[3];
cx q[1], q[3];
ry(1.5853577304644693) q[1];
cx q[1], q[0];
ry(-0.7665170727936429) q[0];
cx q[1], q[0];
ry(0.06976204622716657) q[1];
... | null | {"node": 7} | {"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[2], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIIIIIZII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII"... | [
-1.5,
-2,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5
] | 0.970662 | [
0.6847815492928903,
0.3468851394456264,
1.5853577304644693,
1.5330341455872858,
0.41347647365600954,
1.1949415751942356,
0.615418636102292,
1.9872896054745093,
-0.2523184057707912,
0.13952409245433314,
0.5890111293015909,
0.5270620258394063,
0.580742001538326,
0.2680515851360574,
0.27241... | {
"n_parameters": 55,
"n_qubits": 10,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 119 |
bc66253cf8720682f4eebbf8e558ad61 | 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": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [3, 11], "expectation_value": -9.204633213247385, "params": null, "bitstrings": ["111100", "110100"], "total_optimization_steps": 22, "probabilities": [0.21104498409550887, 0.21288599334318353], "optimization_time": 15.218572854995728} | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -2.25 * Z(3) + 0.75 * Z(2) + 1.5 * Z(5) + 1.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-10.25, -10.25, -10.25, -10.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.25, "smallest_bitstrings": ["111110", "111100", "110100", "110110"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.714438572684436) q[0];
h q[1];
ry(-1.428877145368872) q[1];
h q[2];
h q[3];
ry(-1.428877145368872) q[3];
h q[4];
h q[5];
cx q[5], q[0];
ry(0.714438572684436) q[0];
cx q[5], q[0];
ry(-0.856357758661726) q[0];
cx q[4], q[0];
ry(4.239869943476942e-08) q[0];
c... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"ZIIIIZ",
"ZIZIII",
"IZIIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-1.25,
-1.25,
-1,
-0.75,
2.5,
-1,
-0.5,
-1,
-1.25,
-0.25,
-2.25,
0.75,
1.5,
1.5
] | 0.921629 | [
-1.428877145368872,
1.5707963072208557,
-0.8563577162630266,
-8.479739886953884e-8,
7.260494688738796e-8,
-2.058158962333484e-8,
-4.1931091589049415e-8,
-2.6274812220416775e-8
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 183 |
a7fba5c7fdc2a0492603f740d30b0e3e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [28, 30], "expectation_value": -0.9467924911295413, "params": [[0.0687, 0.0671, 0.0766], [-0.0753, -0.056600000000000004, -0.0665]], "bitstrings": ["100011", "100001"], "total_optimization_steps": 10, "probabilities": [0.02508281978965292, 0.028403065423505514], "optimization_time": 5.954809665679932} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) + -1.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0038456229068963193) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.0038456229068963193) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0038456229068963193) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.0038456229068963193) q[0];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IZIIIZ",
"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,
-2,
-0.5,
-0.5,
0,
-1.5
] | 0.970195 | [
0.0038456229068963193,
0.03152788476359816,
0.5843677711496659,
0.07011294895722706,
-0.10747817429227481,
-1.040178437004815,
1.0646619051284048,
-1.0354563116757038,
0.017329488661321276,
0.04182312572303404,
1.035489171615615,
0.18311382064276116,
-0.27304283047034755,
-1.02584056551815... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -2.6875,
"target_ratio": 0.97,
"target_value": -2.606875
} | 194 |
110ccb9120c3a18cb42667e155d31d5e | 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": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [34, 290], "expectation_value": -7.268443381821507, "params": [[[0.5912000000000001, 0.0033], [-0.0143, 0.30260000000000004], [0.3498, 0.0436], [0.5908, 0.0017000000000000001], [0.002, 0.3257], [-0.0095, 0.2974], [-0.0022, -0.3008], [0.6026, -0.001], [0.0023, -0.3351]], [[0.5908, 0.0034000000000000002], [-0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -7.5, "smallest_bitstrings": ["011011101", "111001011", "101110110", "011001111", "101110101", "010111101", "110110101"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.9686369287312946) q[0];
ry(2.6695893715297148) q[0];
rz(-1.1093625660561344) q[0];
rz(1.7489212778031877) q[1];
ry(0.25877997616824844) q[1];
rz(-0.5570734173232652) q[1];
rz(-1.790476252215318) q[2];
ry(0.05855373379217101) q[2];
rz(2.036357425266461) q[2];
rz(2.4... | 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": []} | [
"IIIIIIIZZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIIZZI",
"IIZIIIZII",
"ZIIIIIZII",
"IIIIIZIZI",
"IIIZIZIII",
"ZIIIIZIII",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZZIIII",
"ZIIIZIIII",
"IIIIZIZII",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIZIIII",
"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,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-2,
-2.5,
-2,
-1.5,
-2,
-1
] | 0.973703 | [
0.4989324411489501,
0.015891608264151657,
0.02799469228734535,
0.4446657120362376,
-0.047360767710107256,
0.18604550802091427,
1.1256429530732797,
0.014370369778559027,
0.10419952309480146,
0.3240463576474178,
0.02850544332699742,
0.26690783573529003,
-0.11724181284073315,
0.13541365414144... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 8 |
421dc0e0e103964520cbb860ec0bda39 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 4}, {"weight": 18, "source": 1, "target": 2}, {"weight": 10, "source": 2, "tar... | {"states": [250, 218], "expectation_value": -32.816379943429354, "params": [[-0.0345, -0.0041, 0.0023, 0.014100000000000001], [0.0678, 0.0567, 0.0596, 0.0533]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.011306006708772794, 0.013815181021572257], "optimization_time": 8... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 168.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.012388340079966701) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.012388340079966701) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.012388340079966701) q[2];
cx q[0], q[2];
rz(-0.6660843671540144) q[0];
rx(-0.08320873170170164) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
22.5,
2.5,
11,
9.5,
20.5,
14.5,
1,
14,
5
] | 0.970483 | [
0.012388340079966701,
1.4693534097425147,
-0.6660843671540132,
1.5899166718533837,
-0.9827053235728226,
2.2753017489986824,
1.3405976084313063,
0.09933892985721386,
0.4564329047357902,
0.241168567412698,
-0.08320873170170155,
0.011261907487312017,
-0.2729051234428472,
-0.9991115616669448,
... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -87,
"target_ratio": 0.97,
"target_value": -84.39
} | 80 |
24dd029d08c4f4c30bd0035bbc602db0 | 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": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [101, 103], "expectation_value": -2.536753694662602, "params": [[[1.6131, 0.0027], [1.6059, 0.0037], [0.4621, 0.0024000000000000002], [0.0026000000000000003, 0.0045000000000000005], [1.6046, 0.008400000000000001], [1.6031, 0.005], [1.6136000000000001, 0.0063]]], "bitstrings": ["0011010", "0011000"], "total_o... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + -1.0 * Z(2) + 0.0 * Z(5) + -0.5 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011000"], "largest_eigenvalue": 7.0} | 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];
h q[6];
cz q[6], 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(-0.6842160020691636) q[0];
h q[0];
rx(1.5707962407866807) q[1];
h q[1];
rx(2.6084383219861173e-08) q[2];
h q[2];
rx(-0.41... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIIZIZI",
"IIIZZII",
"IZIIZII",
"ZIIZIII",
"ZIIIZII",
"IIZZIII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
0,
-1,
0,
-0.5,
0
] | 0.245283 | [
-0.6842160020691636,
1.5707962407866807,
2.6084383219861173e-8,
-0.4133686397029977,
1.36345165497176e-7,
1.5707964047835863,
-0.6200914712120648,
-0.637690696028615,
0.5775369613577384,
-3.961380866809169e-8,
1.5707962657745422,
2.0051918314152446e-7,
0.3790277980716254,
0.506965850450901... | {
"n_parameters": 28,
"n_qubits": 7,
"optimal_eigenvalue": -3.3125,
"target_ratio": 0.97,
"target_value": -3.213125
} | 476 |
b426b8aff164c6823b185eb6b091738d | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 4, "target": 3}, {"source": ... | {"states": [38, 7], "expectation_value": -6.6048679557373084, "params": null, "bitstrings": ["011001", "111000"], "total_optimization_steps": 54, "probabilities": [0.10494263610666708, 0.6036000662340474], "optimization_time": 67.56234335899353} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 13 | 6 | 3 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
2,
2,
1.75,
2,
2,
1.75,
2,
1.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.5
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
8342312533572641236 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [1, 5, 7], [4, 5], [2, 5, 6], [0, 2, 3], [1, 2, 4], [0, 1, 6], [0, 5], [2, 3, 5], [3, 6], [1, 3, 5], [2, 3, 7], [0, 3, 4]]} | {"states": [234, 248], "expectation_value": -1.3307689875451483, "params": [[-0.271], [0.2726]], "bitstrings": ["00010101", "00000111"], "total_optimization_steps": 30, "probabilities": [0.01128045161743818, 0.011550040237857363], "optimization_time": 3.8790218830108643} | 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(2)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0000000000000018, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(-0.7234456985372794) q[0];
cx q[7], q[0];
cx q[7], q[1];
rz(-0.046629705202626395) q[1];
cx q[7], q[1];
cx q[0], q[1];
rz(-0.046629705202626395) q[1];
cx q[0], q[1];
cx q[7], q[5];
rz(-0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[7], q[1];
rz(x1) q[1];
cx q[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIIIZZ",
"ZIZIIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IIIZIIIZ",
"IIIZIIZI",
"IIZZIIII",
"ZIIIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIZIIZII",
"IIIZIZII",
"IZIIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"IZIIIZII",
"ZIIIZIII",
"IIIIZIIZ",
"IIIIZIZI",
"IIZIZIII",
"IIIZZII... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
... | 0.577801 | [
-0.7234456985372794,
-0.046629705202626395,
0.07779811511543233,
-1.0673917866483085,
-0.708571720298109,
0.8437964822042353
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -3.333333333333334,
"target_ratio": 0.97,
"target_value": -3.233333333333334
} | 147 |
31bcee1b066a63f64c6901bb1e1b69cb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [5, 37], "expectation_value": -2.7973431492464513, "params": [[[-1.6656, 0.0078000000000000005], [-0.0023, 0.0041], [-0.0018000000000000002, 0.00030000000000000003], [3.1442, 0.0037], [-0.0023, 0.0005], [3.1436, 0.0002]]], "bitstrings": ["111010", "011010"], "total_optimization_steps": 410, "probabilities": ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -1.0 * Z(4) + -0.25 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["100011", "011010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.8134308690563022) q[0];
rz(-0.004340210929724364) q[0];
rx(-0.04386525431228497) q[1];
rz(1.1021752077143088) q[1];
rx(-0.013238833040450147) q[2];
rz(-1.192074686665066) q[2];
rx(1.521660208972273) q[3];
rz(-0.5183062345743958) q[3];
rx(-0.07804897496144539) q[4]... | 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;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZZIII",
"ZIIIZI",
"IIZZII",
"ZIIZII",
"ZIZIII",
"ZIZZII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-1,
-0.25
] | 0.981324 | [
-0.8134308690563021,
0.02233676954795123,
-0.04386525431228497,
0.6629278156883924,
-0.013238833040450145,
-0.8015821085417717,
1.521660208972273,
-0.03357304081524819,
-0.0780489749614454,
1.036539672959953,
1.1636048445698097,
0.011763346432697531,
0.06040645557731586,
-0.969466387518295... | {
"n_parameters": 47,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 6 |
52a84cd2bc9123b0710700a9ca0d5f69 | 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": 0, "target": 2}, {"sourc... | {"states": [254, 255], "expectation_value": -78.57172837787205, "params": [[[0.0023, 0.0021000000000000003], [0.0019, 0.002], [0.0018000000000000002, 0.002], [0.0019, 0.0019], [0.0019, 0.0019], [0.002, 0.0019], [0.0025, 0.0019], [-0.0022, 3.0076], [0.0019, 0.002], [-0.0028, 0.0026000000000000003], [0.0019, 0.0021000000... | -4.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + 1.0 * (Z(3) @ Z(1)) + -4.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + -4.0 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(5) @ Z(1)) + -4.0 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(3)) + -2.5... | 15 | 15 | 1 | {"smallest_eigenvalues": [-81.99999999999943], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.99999999999994, "smallest_bitstrings": ["111111100000000"], "largest_eigenvalue": 57.99999999999991} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(-0.013486821204557754) q[0];
ry(-0.03398852679336063) q[1];
ry(0.08561979826540991) q[2];
ry(-0.03398852679336063) q[3];
ry(-0.03398852679336063) q[4];
ry(-0.018727941721880897) q[5];
ry(-0.06712725362183827) q[6];
ry(-0.197976510912623) q[7];
ry(-0.0339885267933606... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIIIIZIZI",
"IIIIIIIIIIIZIIZ",
"IIIIIIIIIIIZZII",
"IIIIIIIIIIZIIZI",
"IIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIZII",
"IIIIIIIIIIZZIII",
"IIIIIIIIIZIIIZI",
"IIIIIIIIIZIIIIZ",
"IIIIIIIIIZIIZII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"... | [
-4,
0.5,
-4,
1,
-4,
-2.5,
-2.5,
-4,
0.5,
0.5,
-3,
-4,
1,
1,
-2.5,
-3.5,
-4,
1.5,
-3,
1,
1.5,
-3,
-3,
-2.5,
-4,
-3.5,
1,
-3.5,
1,
1,
-3.5,
-3.5,
1,
-3,
1.5,
-3.5,
1,
0.5,
-3,
-2.5,
0.5,
1,
0.5,
0.5,
-3.5,
1,
-3,
0.5,
2,
... | 0.97081 | [
-0.013486821204557754,
-0.03398852679336063,
0.08561979826540991,
-0.018727941721880897,
-0.06712725362183827,
-0.197976510912623,
-0.08450836552656754,
-0.05374877936570628,
2.049368527414744,
0.020378939665212203,
0.021202993534628612,
3.208850030010367,
-0.043798103391112814,
-0.1761366... | {
"n_parameters": 14,
"n_qubits": 15,
"optimal_eigenvalue": -81.99999999999943,
"target_ratio": 0.97,
"target_value": -79.53999999999945
} | 23 |
edc3bac605c0e8fb4f027513dd92e8fb | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [0, 1], "expectation_value": -20.04698044054382, "params": [[[-0.0092, 0.18710000000000002], [-0.0006000000000000001, 0.2539], [-0.001, 0.2587], [-0.0152, -0.1958], [0.39840000000000003, 0.0017000000000000001]], [[-0.0126, 0.1827], [-0.0022, 0.2459], [0.0017000000000000001, 0.2374], [-0.011600000000000001, -... | 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)) + -8.5 * Z(1) + -8.25 * Z(0) + -8.5 * Z(2) + -8.25 * Z(3) + -8.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 64.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.16175234084033957) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.16175234084033957) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.16175234084033957) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.16175234084033957) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
-8.5,
-8.25,
-8.5,
-8.25,
-8
] | 0.972373 | [
-0.16175234084033957,
-1.87532801107341,
-0.05801357308838576,
0.10605362145925226,
-1.1416650171566816,
0.4399114001229122,
1.0360662674525876,
-1.009520344317765,
0.7718866700779633,
-0.5658460915133537,
0.2880179831430165,
-2.7932233839467817,
-0.24448320489468112,
-0.7290022026259505,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 239 |
f6494d29a2885917ea72724ca31dc87e | 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": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [255, 1], "expectation_value": -0.24882344035663811, "params": [[-0.019100000000000002, -0.0252], [0.0064, 0.015600000000000001]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002170140075032482, 0.0021828540656639982], "optimization_time": 20.128808736801147} | -0.75 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + 1.5 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(6)) + -1.0 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(8)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.10189812843066029) q[0];
rz(-0.15089983411608365) q[0];
rx(0.012949681207840832) q[1];
rz(-0.3863298561993709) q[1];
rx(-0.2249217523066944) q[2];
rz(-0.07319496732861097) q[2];
rx(0.06993357002108799) q[3];
rz(-0.2465905830606978) q[3];
rx(0.08546781518194248) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IZZIIIIII",
"IZIIIIIIZ",
"ZIZIIIIII",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZZIIIII",
"IZIZIIIII",
"IIIZIIIZI",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIIZZI",
"IIIZIIZII",
"IIZIIZIII",
"IZIIIZIII",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIZIIII",
"IIIIZIIZI",
"IIIIZZIII",
"... | [
-0.75,
-1.25,
-0.5,
-0.25,
1.5,
-0.75,
-1,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1.25,
-1,
-1.25,
-2,
-1.25,
-0.75,
-0.25,
-1,
-2,
0,
-0.25,
1.5,
0.75,
-5,
1,
1.5,
-0.75,
1.25
] | 0.979947 | [
-0.10189812843066029,
-0.20692645873723892,
0.012949681207840832,
-0.3047185877811311,
-0.22492175230669437,
-0.05003070120281442,
0.06993357002108799,
-0.26060474940613737,
0.08546781518194248,
-0.4558542881777824,
0.3664614763165901,
-0.49251998763677596,
-0.20127128571451497,
-0.1535688... | {
"n_parameters": 116,
"n_qubits": 9,
"optimal_eigenvalue": -19.25,
"target_ratio": 0.97,
"target_value": -18.6725
} | 7 |
91fd701868951eab612ba86420778b2e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [14, 42], "expectation_value": -3.9963046828491047, "params": null, "bitstrings": ["110001", "010101"], "total_optimization_steps": 22, "probabilities": [0.06706466845670207, 0.9295035070622214], "optimization_time": 14.298496007919312} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["010101", "110100", "110001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IZIIZI",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1,
-1,
0,
0
] | 0.970876 | [
-0.7131691907790075,
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0.9836842123631419,
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0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
bb51b85a8f0cca1e878093cb2d4e9f25 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [197, 236], "expectation_value": -3.5103114489764295, "params": null, "bitstrings": ["00111010", "00010011"], "total_optimization_steps": 43, "probabilities": [0.057279452107917815, 0.8498965515177191], "optimization_time": 79.26921391487122} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["00010011"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5158) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IIZZIIIZ",
"IZIZIIIZ",
"IZZIIIIZ",
"IZZZIIII",
"IZZZIIIZ",
"IIIZIIZ... | [
0.125,
0.125,
0.125,
0.125,
0.125,
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0.125,
0.125,
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0.25,
0.25,
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0.25,
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0.125,
... | 0.970515 | [
0.0578548521713938,
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0.42484350980591923,
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-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
69c9ce86bfac888cdfb5b3c0db4fe232 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [995, 1023], "expectation_value": -13.031529350389281, "params": null, "bitstrings": ["0000011100", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.07814913094214478, 0.3671605275982785], "optimization_time": 155.52243757247925} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(2)) + -1.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4... | 5 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.04688792291588291) q[0];
h q[1];
cx q[1], q[0];
ry(0.04688792291588291) q[0];
cx q[1], q[0];
ry(1.420770288997853) q[0];
ry(0.5923165789607414) q[1];
cx q[0], q[1];
ry(-0.2982489883402873) q[1];
cx q[0], q[1];
ry(0.10583350094341104) q[0];
h q[2];
ry(0.45... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[5], 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] = measu... | [
"IIIIIIIIZZ",
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"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIIIIIZII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIIIIIZII"... | [
-2,
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1,
-2,
-2,
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0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1,
0.5,
0.5,
0.5
] | 0.977102 | [
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1.436091093973888,
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0.7348349611282616,
0.5964979766805746,
0.03843323259044275,
0.... | {
"n_parameters": 41,
"n_qubits": 10,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 94 |
8130d1fdc00d4ec4e1ba0f90ff0cbbc5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [1903, 1902], "expectation_value": -3.258278357025072, "params": [[[0.29700000000000004, 0.0092], [2.3036000000000003, 0.0066], [2.2943000000000002, 0.0034000000000000002], [2.3049, 0.0051], [-0.0021000000000000003, 0.0081], [2.2946, 0.0016], [2.3006, 0.0051], [-0.0026000000000000003, 0.0014], [2.3065, 0.008... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.1875, -5.1875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.1875, "smallest_bitstrings": ["001010010010", "100010010001"], "largest_eigenvalue": 6.8125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.12065191084547876) q[0];
rz(-0.4073545348746915) q[0];
rx(3.0122427602661883) q[1];
rz(-0.24229961550951726) q[1];
rx(2.8559598749849515) q[2];
rz(0.5421035996509354) q[2];
rx(3.2151066494791007) q[3];
rz(0.5419323788231549) q[3];
rx(0.1865529561836809) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIIZZZIII",
"IIIIIZIZZIII",
"IIIIIZZIZIII",
"IIIIIZZZIIII",
"IIIIIZZZZIII",
"IIIIZIIIZIII",
"IIIZIIIIZIII",
"IIZIIIIIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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0.125,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
... | 0.975715 | [
0.12065191084547876,
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3.0122427602661883,
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2.8559598749849515,
0.5421035996509354,
3.2151066494791007,
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0.1865529561836809,
0.0025840207773324235,
3.130592906991873,
0.08859573360406409,
3.1182271623765687,
-0.23083497415339124,
... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -5.1875,
"target_ratio": 0.97,
"target_value": -5.031874999999999
} | 30 |
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": 17.546618700027466} | 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 | 1 | {"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 |
48bc2fe3cb79b98fee18d505d1ebe59b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [4055, 4053], "expectation_value": -3.1092338906860433, "params": [[-0.0009000000000000001, 1.3457000000000001, 0.0167, 0.544, 0.5409, 0.010400000000000001, 1.4220000000000002, 0.014700000000000001, 2.2232000000000003, -0.0158, 0.931, 0.0115, 1.6636000000000002], [0.1332, 1.7891000000000001, 2.2837, 2.3035, ... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(1) @ Z(3)... | 10 | 13 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75],... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.12079281128675705) q[0];
rz(0.5674813099381055) q[0];
rx(3.387397693875746) q[1];
rz(0.5870240098225082) q[1];
rx(2.8522529650362514) q[2];
rz(0.21132100675353965) q[2];
rx(0.04928141958692428) q[3];
rz(-1.4732088475229657) q[3];
rx(-0.13805548395794637) 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": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIIIZZIII",
"IIIIIIIIZZIIZ",
"IIIIIIZZIIIII",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIIIZZZIIIII",
"IIIIIIIIIZIZI",
"IIIIZIIIIIIZI",
"IIIZIIIIIIIZI",
"IIIIZIIIIZIII",
"IIIZIIIIIZI... | [
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0.125,
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0.0625,
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0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.... | 0.978839 | [
0.12079281128675705,
0.5674813099381055,
3.387397693875746,
0.5870240098225082,
2.8522529650362514,
0.21132100675353965,
0.04928141958692428,
-1.4732088475229657,
-0.13805548395794637,
-0.5254705969434057,
0.05901400317539679,
-0.4027360692677126,
0.4972066229465188,
0.5280601181764276
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 16 |
23529db270bae4def52806aeae1d449e | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [187, 1019], "expectation_value": -12.167323842533756, "params": null, "bitstrings": ["1101000100", "0000000100"], "total_optimization_steps": 100, "probabilities": [0.09907615160858281, 0.4990373322593751], "optimization_time": 145.89254021644592} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -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(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2) ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000000100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.098453448754568) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(1.098453448754568) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2207382026687572) q[1];
rx(0.9638634016974083) q[1];
rz(1.098453448754568) q[3];
cx q[0], q[3];
rz(0.... | null | {"node": 7} | {"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(1.5681) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII",
"IIZIIIIIII"
] | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.542896 | [
1.098453448754568,
0.22073820266875738,
1.5707963046385156,
0.9638634016974083
] | {
"n_parameters": 4,
"n_qubits": 10,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 124 |
9994d9c0864e8ab88d6d9169e088b46e | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [76, 14], "expectation_value": -3.496446971446745, "params": null, "bitstrings": ["0110011", "1110001"], "total_optimization_steps": 24, "probabilities": [0.06701327016213256, 0.9297036996979784], "optimization_time": 20.4397554397583} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + 0.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(6) + 0.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["1100101", "1011100", "1110001", "1010101", "1101100", "0110011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.11596378006153223) q[0];
rz(0.284417285133328) q[0];
rx(0.9079841915554171) q[1];
rz(0.024714267906631924) q[1];
rx(0.7975047609449103) q[2];
rz(0.10494849557346886) q[2];
rx(0.9341338115562028) q[3];
rz(-0.00661968580596823) q[3];
rx(0.9079841915554171) 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(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"ZIZIIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
0,
-1,
-0.5,
0
] | 0.984616 | [
-0.11596378006153223,
0.3017390316030879,
0.9079841915554171,
0.024714267906631924,
0.7975047609449103,
0.10494849557346886,
0.9341338115562028,
-0.00661968580596823,
0.06657420471963857,
-0.0771816746141428,
0.4297982157077295,
0.6553221677779906,
0.11368518825262512,
-0.01430271979699142... | {
"n_parameters": 91,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 12 |
dc7b16900656e5534d14ef7dd25bde91 | 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": [246, 182], "expectation_value": -53.43579020483238, "params": [0.0434, 0.0258, 0.4934, 0.5006, 0.27540000000000003, 0.2833, 0.4929, 0.48450000000000004, 0.4893, 0.4918, 0.17470000000000002, 0.1769, 0.4938, 0.496, 0.48050000000000004, 0.48650000000000004, 0.0145, 0.0637, 0.0077, -0.0114, 0.49560000000000004,... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(7) @ Z(2)) + 7.0 * (Z(8) @ Z(7)) + 12.5 * Z(1) + -2.5 * Z(0) + 9.0 * Z(3) + 12.0 * Z(2) + 4.0 * Z(5) + 6.5 * Z(4) + 6.0 * Z(6) + 9.0 * Z(7) + -2.5 * Z(8) | 14 | 9 | 3 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 117.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.031011104004013662) q[0];
rz(pi/2) q[0];
ry(0.5234049466580237) q[1];
ry(0.2951767625780714) q[2];
ry(0.6928603827302336) q[3];
ry(0.4799114147807898) q[4];
ry(-0.19630485294871547) q[5];
ry(0.14030070143218912) q[6];
ry(0.6345431734397021) q[7];
ry(0.0436947786643... | 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 ... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIIZZI",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
12.5,
-2.5,
9,
12,
4,
6.5,
6,
9,
-2.5
] | 0.970055 | [
0.031011104004013662,
0.5234049466580237,
0.2951767625780714,
0.6928603827302336,
0.4799114147807898,
-0.19630485294871547,
0.14030070143218912,
0.6345431734397021,
0.043694778664304906,
0.4938897288799265,
-0.3221734111035041,
0.5308348377968916,
0.5682329467604676,
-0.34424057450809337,
... | {
"n_parameters": 105,
"n_qubits": 9,
"optimal_eigenvalue": -67,
"target_ratio": 0.97,
"target_value": -64.99
} | 15 |
190b9e209adb3e0aadea8d3d462a7035 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [504, 509], "expectation_value": -1.7495229394169405, "params": [[0.0771], [-0.0648]], "bitstrings": ["000000111", "000000010"], "total_optimization_steps": 10, "probabilities": [0.003179331903717272, 0.0032374848117080134], "optimization_time": 4.201688528060913} | -2.0 * (Z(0) @ Z(3)) + -3.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(4)) + 1.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000010", "000000111"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.7923214305407773) q[0];
h q[1];
h q[2];
ry(0.7923214305407773) q[2];
h q[3];
h q[4];
ry(0.7923214305407773) q[4];
cx q[3], q[4];
ry(-0.7923214305407773) q[4];
cx q[3], q[4];
cx q[4], q[0];
ry(-0.7923214305407773) q[0];
cx q[4], q[0];
ry(0.5252899965440843) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(x0) q[0];
... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIIIZZI",
"IIIZIZIII",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZIIZII",
"ZIZIIIIII",
"IZZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIIZI",
"IIIIIIZII",
"... | [
-2,
-3,
-2.5,
-2.5,
0.5,
1,
1,
0.5,
-3,
-2,
0.5,
0.5,
-2.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
-1
] | 0.918673 | [
1.5846428610815546,
1.0505799930881685,
-0.3835547970213339,
-0.5164348656075911,
-0.02253242746201313,
0.9562947931592557,
1.1834556375084002,
0.04210632376861098,
-1.5846697689466158,
0.44340608144992966,
-0.026595686138688374,
-0.12046856616720286,
-0.09210938401826475,
0.27738958301632... | {
"n_parameters": 55,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 500 |
6478386096857899950 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[4, 5, 7, 9, 10], [1, 2, 4], [8, 9, 2], [2, 11, 5, 7], [8, 4, 5], [1, 7], [8, 9, 10, 4], [0, 2, 10, 4], [0, 11], [0, 2, 3, 5], [8, 10, 11], [1, 3], [1, 10], [0, 2, 4, 7, 9], [11, 4, 5, 7], [9, 4, 6, 1], [8, 6, 7]]} | {"states": [947, 951], "expectation_value": -4.386240193296233, "params": [[[0.37020000000000003, 0.0014], [0.053700000000000005, 0.0017000000000000001], [3.1398, 0.0024000000000000002], [3.1398, 0.009000000000000001], [3.1399000000000004, 0.0066], [1.4522000000000002, 0.0061], [3.1397, 0.0022], [3.1399000000000004, 0.... | 0.3 * (Z(4) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.18333333333333335 * (Z(7) @ Z(4)) + 0.05 * (Z(9) @ Z(5)) + 0.26666666666666666 * (Z(9) @ Z(4)) + 0.1 * (Z(9) @ Z(7)) + 0.05 * (Z(10) @ Z(5)) + 0.21666666666666667 * (Z(10) @ Z(4)) + 0.05 * (Z(10) @ Z(7)) + 0.13333333333333333 * (Z(10) @ Z(9)) + 0.25 * (Z(1) ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.150000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.866666666666668, "smallest_bitstrings": ["110001001000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.1680455832982697) q[0];
rz(-0.16276030530943061) q[0];
rx(-0.07946063599180356) q[1];
rz(-0.2319954509267659) q[1];
rx(3.1058940656406513) q[2];
rz(0.04751962064079275) q[2];
rx(3.1058940656406513) q[3];
rz(0.48409590430419663) q[3];
rx(3.196633349194482) 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": []} | [
"IIIIIIZZIIII",
"IIIIZIZIIIII",
"IIIIZIIZIIII",
"IIZIIIZIIIII",
"IIZIIIIZIIII",
"IIZIZIIIIIII",
"IZIIIIZIIIII",
"IZIIIIIZIIII",
"IZIIZIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIZIIZI",
"IIIIZIIIIIZI",
"IIZIIIIIIIZI",
"IZIIIIIIIIZI",
"IIIIIIZIIZII",
"IIIIIIIZIZII",
"IIIIZIIIIZII",
"IIZIIIIII... | [
0.3,
0.21666666666666667,
0.18333333333333335,
0.05,
0.26666666666666666,
0.1,
0.05,
0.21666666666666667,
0.05,
0.13333333333333333,
0.25,
0.5,
0.08333333333333333,
0.5,
0.16666666666666666,
0.3,
0.13333333333333333,
0.21666666666666667,
0.08333333333333333,
0.16666666666666666... | 0.976593 | [
-0.1680455832982697,
-0.16276030530943061,
-0.07946063599180356,
-0.2319954509267659,
3.1058940656406513,
0.04751962064079275,
0.48409590430419663,
3.196633349194482,
0.8254161088059659,
0.6882210173964229,
0.3772578229673458,
3.310883573209736,
-0.22329595429045582,
0.17889849626329674,
... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -5.150000000000001,
"target_ratio": 0.97,
"target_value": -4.995500000000001
} | 17 |
7805086713239949432 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[10, 4, 5], [0, 8, 6, 7], [0, 9, 2], [0, 10, 4], [4, 5, 7], [2, 6], [0, 11], [9, 3], [10, 11, 7], [10, 3, 5], [0, 8, 4], [9, 1], [3, 4, 6, 7, 11], [5, 6, 7, 9, 11], [8, 1, 2, 7], [11, 10, 2], [8, 11, 5], [9, 10, 4], [8, 3], [8, 9, 6], [0, 5, 7], [1, 3], [... | {"states": [2775, 2711], "expectation_value": -6.420465954839269, "params": [[[3.1444, 0.0053, 0.0013000000000000002, 0.0006000000000000001], [1.5679, -0.0028, 0.7878000000000001, 0.0077], [3.1442, 0.0073, 0.0034000000000000002, 0.0019], [1.5414, -0.0028, 0.7744000000000001, 0.0083], [3.144, 0.0024000000000000002, 0.00... | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(6)) + 0.25 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.6666666666666666 * (Z(10) @ Z(6)) + 0.3333333333333333 * (Z(10) @ Z(7)) + 0.25 * (Z(10) @ Z(0)) + 0.05 * (Z(8) @ Z(6)) + 0.05 * (Z(8) @ Z(7... | 12 | 12 | 1 | {"smallest_eigenvalues": [-7.050000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.866666666666666, "smallest_bitstrings": ["010101101000"], "largest_eigenvalue": 26.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(3.004066457893624) q[0];
rz(0.35390590432347907) q[0];
ry(1.5368401640521847) q[1];
rz(0.11298783474287973) q[1];
cz q[1], q[0];
ry(1.5209549084537057) q[1];
ry(3.2881958713855073) q[2];
rz(-0.17767442970084812) q[2];
ry(1.5193556942114195) q[3];
rz(0.11298783474287... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIIIZIIIZII",
"IIIIZZIIIIII",
"IIIIZIIIIZII",
"IIIIIZIIIIIZ",
"IIIIIIIIIZIZ",
"IIIIZIIIIIIZ",
"IZIIIZIIIIII",
"IZIIZIIIIIII",
"IZIIIIIIIIIZ",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIZIIIIIIIZ",
"IZIZIIIIIIII",
"IIZIIZIIIIII",
"IIZIIIIIIZII",
"IIZIZIIIIIII",
"IIZIIIIIIIIZ",
"IZZIIIIII... | [
0.5,
0.5,
0.3333333333333333,
0.3333333333333333,
0.25,
0.16666666666666666,
0.6666666666666666,
0.3333333333333333,
0.25,
0.05,
0.05,
0.08333333333333333,
0.25,
0.21666666666666667,
0.16666666666666666,
0.4666666666666666,
0.25,
0.16666666666666666,
0.18333333333333335,
0.1666... | 0.97253 | [
3.004066457893624,
0.35390590432347907,
1.5368401640521847,
0.11298783474287973,
3.2881958713855073,
-0.17767442970084812,
1.5193556942114195,
3.2203556575993417,
-0.10080582570460234,
-0.4594515424160287,
2.342059799756128,
5.749048445942302,
0.09304990991930284,
1.5720301709936952,
-0.... | {
"n_parameters": 30,
"n_qubits": 12,
"optimal_eigenvalue": -7.050000000000002,
"target_ratio": 0.97,
"target_value": -6.838500000000002
} | 14 |
7149404951662742046 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 2], [0, 1, 2], [9, 5], [3, 6, 7], [0, 4, 6], [0, 8, 2], [4, 5, 7], [8, 2, 6], [0, 3, 5], [2, 7], [1, 2, 3], [9, 3, 6], [0, 4, 7], [8, 1], [1, 7]]} | {"states": [506, 504], "expectation_value": -4.338453856387066, "params": [0.1847, 0.0198, -0.2021, 0.007500000000000001, -0.6528, 0.026600000000000002, -1.4087, 0.0091, 1.8497000000000001, 0.013900000000000001, 1.2579, 0.0092, 2.1381, 0.0167, 1.0135, 0.0029000000000000002, 2.2141, 0.0098, 0.9281, 0.009000000000000001,... | 0.5 * (Z(9) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(9)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(9)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.1666666666... | 6 | 10 | 1 | {"smallest_eigenvalues": [-4.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000111"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.8191513165887289) q[0];
rz(1.608597667598314) q[0];
rx(-1.346575525104807) q[1];
rz(1.593373506019546) q[1];
rx(1.8299482239236469) q[2];
rz(1.6089551473808452) q[2];
rx(2.5129538921223835) q[3];
rz(1.5412830917383182) q[3];
rx(1.7979675448262997) q[4];
rz(1.57037... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"ZIIIIIIZII",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"ZIIIZIIIII",
"IIIIZIIIIZ",
"IIIIIIZZII",
"ZIIIIIZIII",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIZIZIII",
"IIIZIIIZII",
"ZIIZIIIIII",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIZIIIZIII"... | [
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
... | 0.970217 | [
0.8191513165887288,
0.03780134080341746,
-1.3465755251048068,
0.02257717922464933,
1.8299482239236469,
0.03815882058594891,
2.5129538921223835,
-0.029513235056577877,
1.7979675448262997,
-0.0004171623148688636,
1.345118382297788,
0.06762394195855212,
2.350837219588686,
0.058157495851222485... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -4.833333333333334,
"target_ratio": 0.97,
"target_value": -4.6883333333333335
} | 152 |
e15c799417e3389a9cf7bb88f030f20b | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "targ... | {"states": [16257, 16383], "expectation_value": -14.122972497024824, "params": [[[-0.0026000000000000003, 1.9082000000000001], [-0.003, -0.0027], [-0.0034000000000000002, -0.0024000000000000002], [-0.0032, -0.003], [-0.0023, -0.0022], [-0.0019, 0.0018000000000000002], [0.0019, -0.0017000000000000001], [-0.5683, 1.2704]... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(0)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * (Z(12) @ Z(11)) + -1.5 * (Z(12) @ Z(10)) + -1.5 * (Z(13) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(13)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5... | 15 | 14 | 1 | {"smallest_eigenvalues": [-19.499999999999925], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.49999999999986, "smallest_bitstrings": ["00000000000000"], "largest_eigenvalue": 17.50000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(-0.0470694407100031) q[0];
ry(-0.019381442621760375) q[1];
ry(-0.13123277471104522) q[2];
ry(0.14913072598023103) q[3];
ry(-0.3345993263085527) q[4];
ry(0.14655341808700983) q[5];
ry(-0.05456495672621185) q[6];
ry(-0.21400688607185583) q[7];
ry(0.007517607278702933)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": 14} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIZIIIIZI",
"IIIIIIIZIIIIIZ",
"IIIIIZZIIIIIII",
"IIIIZZIIIIIIII",
"IIIIZIZIIIIIII",
"IIZZIIIIIIIIII",
"IZZIIIIIIIIIII",
"IZIZIIIIIIIIII",
"ZIIIIIIIIIIZII",
"IIIIIIIIIIZZII",
"ZIIIIIIIIIZIII",
"IIIIIIIIZZIIII",
"IIIIIIIIIIIIZI",
"IIIIIIIIIIIIIZ",
"IIIIIIIZIIIIII"... | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
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
] | 0.975253 | [
-0.0470694407100031,
-0.019381442621760375,
-0.13123277471104522,
0.14913072598023103,
-0.3345993263085527,
0.14655341808700983,
-0.05456495672621185,
-0.21400688607185583,
0.007517607278702933,
-0.08104590730702341,
-0.04995357207947537,
0.021611795711097732,
3.1381309554671963,
-0.085014... | {
"n_parameters": 21,
"n_qubits": 14,
"optimal_eigenvalue": -19.499999999999925,
"target_ratio": 0.97,
"target_value": -18.914999999999928
} | 33 |
bfdf48849280d388eb48018fbf3b92a5 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"sour... | {"states": [37, 45], "expectation_value": -4.147826987766883, "params": [-0.0034000000000000002, 0.0005, -0.0027, 0.0078000000000000005, 0.2604, 0.0049, 1.6938, 0.008400000000000001, 1.4782000000000002, 0.0013000000000000002, 1.6506, 0.0067, 1.713, 0.0023, 1.2322, 0.0035, 1.7037, 0.0007, 0.0064, 0.0025, 0.0045000000000... | 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(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.5 *... | 3 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["110101010", "111010010", "110110010", "111110000", "111001010", "111101000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.310113288498742) q[0];
ry(0.24153487535425103) q[0];
rz(2.7537005133823733) q[0];
rz(-1.5533502219137307) q[1];
ry(0.0745151136237984) q[1];
rz(2.1867527512053098) q[1];
rz(1.3925726400192993) q[2];
ry(0.16467692288921268) q[2];
rz(-2.115919475015726) q[2];
rz(1.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"IZIIIIIZI",
"IZIIIIZII",
"IIIIIZZII",
"IZIIIZIII",
"IIIZZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIZIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-1.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
0
] | 0.975374 | [
-0.18426991522235714,
0.8963591265899024,
-0.29655109940164825,
-0.005897166690499977,
0.11698518017761227,
-0.572481453477214,
0.03007793988712662,
0.2883699661333406,
0.196073627005907,
-0.4472651655569827,
1.4866673755326627,
0.024594913307991184,
0.6177499470202141,
-0.0208221957306340... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 30 |
11576eab70c2ec583415b5e8bd58f9e2 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [13, 7], "expectation_value": -6.6950309953721945, "params": null, "bitstrings": ["110010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10881682250307842, 0.5951549079003051], "optimization_time": 61.879236459732056} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 18 | 6 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
-0.75,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
9113918706603586927 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 5], [0, 1, 2, 3, 6], [4, 5]]} | {"states": [27, 51], "expectation_value": -0.011286123629541268, "params": [[0.061900000000000004], [-0.0483]], "bitstrings": ["1100100", "1001100"], "total_optimization_steps": 10, "probabilities": [0.00798074890407208, 0.007980748904072084], "optimization_time": 0.6238300800323486} | 0.21666666666666667 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(0)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(6) @ Z(3)) +... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332],... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.570795597418955) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(3.031813164792493e-08) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(7.306338960623104e-08) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(7.30633... | 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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
c... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"IIIIZZI",
"IIIIIZZ",
"IIIZZII",
"IIIZIIZ",
"IIIZIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"ZIIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
0.21666666666666667,
0.16666666666666666,
0.16666666666666666,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.26666666666666666,
0.26666666666666666,
0.16666666666666663,
0.1,
0.1,
0.1,
0
] | 0.826864 | [
1.570795597418955,
3.031813164792493e-8,
7.306338960623104e-8,
1.570796297335024,
3.5820343969444404e-7,
1.5707964652080726,
1.1983872278892004e-7,
-0.8056096671248185
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -1.0333333333333332,
"target_ratio": 0.97,
"target_value": -1.0023333333333333
} | 235 |
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