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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
9e72b7dd0d69a46b7f007aaed5517323 | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [24, 26], "expectation_value": -2.0868222914273766, "params": [-0.0017000000000000001, 0.38070000000000004, 0.5072, -0.0023, 0.51, -0.00030000000000000003, -0.006200000000000001, 0.25370000000000004, 0.505, -0.0017000000000000001, 0.4227, -0.0045000000000000005, -0.0076, 0.33630000000000004, 0.508, -0.001700... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3) @ Z(1... | 4 | 6 | 3 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IZIIZI",
"IIZIZI",
"IZIZII",
"IIZZII",
"IZZIII",
"IZIZZI",
"IIZZZI",
"IZZIZI",
"IZZZII",
"IZZZZI",
"ZIIZII",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IZIIII",
"IIZIII",
"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,
-1,
-0.125,
-0.125,
-0.125,
-0.625,
-0.5
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
833c89e8aca800e5707fb47ea63f9088 | 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": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [43, 46], "expectation_value": -3.499883694175416, "params": null, "bitstrings": ["010100", "010001"], "total_optimization_steps": 23, "probabilities": [1.6349291399876233e-05, 0.9999151802438232], "optimization_time": 22.402727127075195} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["010001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.06213685427517941) q[0];
rz(0.3900229257122323) q[0];
rx(-0.05273946885872852) q[1];
rz(0.8212831248228313) q[1];
rx(1.5337574379224534) q[2];
rz(0.18090279389762448) q[2];
rx(-0.062136854275179405) q[3];
rz(-0.7491475642969406) q[3];
rx(-0.062136854275179405) q[4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[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",
"IZIIZI",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
0,
-1,
0,
0
] | 0.980175 | [
-0.062136854275179405,
0.5639668344247326,
-0.05273946885872852,
0.8212831248228313,
1.5337574379224534,
0.18090279389762448,
-0.7491475642969406,
0.5294660297481446,
-0.3478878174250011,
0.3529348580960014,
-0.022087508376134993,
-0.4435758830602262,
-0.5770407396054762,
-0.16077012495042... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 6 |
42c8a30369b7a75bc5bed2e6569b1f7f | 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": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [19, 55], "expectation_value": -12.176793192200927, "params": [[0.07440000000000001, 0.0734, 0.2039, 0.24380000000000002], [-0.3879, -0.3693, -0.2785, -0.1647]], "bitstrings": ["11101100", "11001000"], "total_optimization_steps": 50, "probabilities": [0.1334488792710362, 0.13803362478559206], "optimization_t... | -1.0 * (Z(0) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(5)) + -1.25 * (Z(3) @ Z(7)) + -2.5 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(7)) + -2.75 * Z(1) + -0.25 * Z(0) + 0.0 * Z(5)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["11001000"], "largest_eigenvalue": 18.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.756390603361468) q[0];
h q[1];
h q[2];
h q[3];
ry(1.960802890701371) q[3];
rz(-pi) q[4];
ry(-0.03363957311324232) q[4];
h q[5];
ry(0.7593746714538002) q[5];
cx q[2], q[5];
ry(-0.7593746714538002) q[5];
cx q[2], q[5];
ry(0.2851378825371864) q[2];
cx q[3], 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": []} | [
"IIIIIIZZ",
"IIZIIIZI",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIIZII",
"IIIZIIZI",
"IIIIZIZI",
"IIZIZIII",
"ZIIIZIII",
"IIIIZZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-1,
-1.75,
-0.5,
1.75,
-0.5,
-3,
-0.5,
-1,
-1.75,
-1.25,
-2.5,
-0.75,
-2.75,
-0.25,
0,
-0.25,
-1,
-0.5,
4,
0.75
] | 0.973129 | [
1.960802890701371,
1.5187493429076004,
0.5702757650743728,
0.5884320148351232,
-0.35492320054565396,
-0.00790800591482066,
-0.009886103992825745,
-0.11041315474839637,
0.4022843241340985,
0.967658013117771,
1.6733011054968419,
-1.512781206722936,
1.8222976834996618,
-0.9970092432471047,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -15.75,
"target_ratio": 0.97,
"target_value": -15.2775
} | 41 |
726a5ae01318539d56f80c3be6bbd791 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [5, 36], "expectation_value": -4.473039785707444, "params": null, "bitstrings": ["111010", "011011"], "total_optimization_steps": 17, "probabilities": [0.0743643311544431, 0.8991266787931326], "optimization_time": 20.590890169143677} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["011011", "101101", "111010", "110011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.26735938862423486) q[0];
rz(0.10893230624247693) q[0];
ry(0.1491965529302104) q[1];
ry(0.1605882734467805) q[2];
ry(0.5179101632285602) q[3];
ry(0.44091074970939437) q[4];
ry(0.20939928831505905) q[5];
ry(1.2941176658595661) q[6];
ry(0.9604711128290605) q[7];
ry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-0.5
] | 0.97497 | [
0.26735938862423486,
0.1491965529302104,
0.1605882734467805,
0.5179101632285602,
0.44091074970939437,
0.20939928831505905,
1.2941176658595661,
0.9604711128290605,
-0.3821283109988437,
1.7024078434950567,
0.054818503108896285,
0.21786461248495387,
-0.7416832374606571,
-0.39822474854642687,
... | {
"n_parameters": 126,
"n_qubits": 11,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 62 |
-7226655794630690288 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 8, 11, 12], [1, 4], [2, 12], [10, 3], [5, 6], [1, 7], [9, 1]]} | {"states": [7746, 7762], "expectation_value": -2.7943100663759632, "params": [1.3036, 0.0028, 1.2971000000000001, 0.0066, 1.1665, -0.0024000000000000002, 1.1547, -0.0026000000000000003, 1.2972000000000001, 0.0035, 1.302, 0.0041, 1.2995, -0.0033, 1.2970000000000002, -0.0001, 0.08460000000000001, 0.6018, 0.08420000000000... | 0.08333333333333333 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(11) @ Z(8)) + 0.08333333333333333 * (Z(11) @ Z(0)) + 0.08333333333333333 * (Z(12) @ Z(8)) + 0.08333333333333333 * (Z(12) @ Z(0)) + 0.08333333333333333 * (Z(12) @ Z(11)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(12)) + 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(5) @ Z(6)... | 8 | 13 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 32, "first_excited_energy": -3.1666... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(1.3411819972176813) q[0];
rz(1.303491845848952) q[0];
rx(1.3059965995675786) q[1];
rz(0.07847761348826415) q[1];
cx q[1], q[0];
ry(0.034509435477592644) q[0];
cx q[1], q[0];
ry(1.466636166978318) q[0];
rz(-1.4721209438239151) q[0];
rx(1.1457522364899957) q[1];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIIZ",
"IZIIZIIIIIIII",
"IZIIIIIIIIIIZ",
"ZIIIZIIIIIIII",
"ZIIIIIIIIIIIZ",
"ZZIIIIIIIIIII",
"IIIIIIIIZIIZI",
"ZIIIIIIIIIZII",
"IIZIIIIIIZIII",
"IIIIIIZZIIIII",
"IIIIIZIIIIIZI",
"IIIZIIIIIIIZI",
"IIIIZIIIIIIII",
"IIIIIIIIIIIIZ",
"IZIIIIIIIIIII",
"ZIIIIIIIIIIII",
"IIIIIIIIZII... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.971388 | [
1.3411819972176815,
-0.26730448094594456,
1.3059965995675786,
0.07847761348826415,
1.6694680462655505,
-0.07967172007641896,
1.5394913598615578,
-0.07889430061810498,
0.11026724463694981,
0.3862714066545718,
0.4309297623066336,
0.23408807230761955,
1.4498216283642866,
-0.23483878835634844,... | {
"n_parameters": 64,
"n_qubits": 13,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 14 |
-4546230231549734788 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 11, 6, 7], [8, 9, 5, 0], [3, 4, 6], [1, 2, 3, 6], [0, 1], [10, 3], [8, 2, 11, 7], [0, 11, 6, 7], [10, 2], [10, 11, 4], [9, 2, 3], [8, 9, 3], [9, 5, 7], [8, 9, 7], [0, 9, 6]]} | {"states": [2534, 2533], "expectation_value": -4.2776965224283625, "params": [[[1.5730000000000002, 1.5729], [-1.5683, 1.5731000000000002], [-1.568, 1.5737], [-1.5726, 1.5681], [1.5728, 1.5685], [1.5728, 1.5735000000000001], [-1.5733000000000001, 1.5729], [-1.5689000000000002, 1.568], [-1.5736, 1.5684], [1.5738, 1.5731... | 0.08333333333333333 * (Z(11) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(11)) + 0.25 * (Z(9) @ Z(3)) + 0.41666666666666663 * (Z(9) @ Z(11)) + 0.16666666666666666 * (Z(9) @ Z(8)) + 0.08333333333333333 * (Z(10) @ Z(3)) + 0.41666666666666663 * (Z(10) @ Z(11)) + 0.25 * (Z(10) @ Z(9)) + 0.25 * (Z(7) @ Z... | 15 | 12 | 1 | {"smallest_eigenvalues": [-4.583333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.333333333333334, "smallest_bitstrings": ["011000011010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5379469338989569) q[0];
ry(-1.6234247497006031) q[1];
ry(-1.5366208286083327) q[2];
ry(-1.6248737140568958) q[3];
ry(1.5077415904408058) q[4];
ry(1.5077415904408058) q[5];
ry(-1.6018498592968307) q[6];
ry(-1.5662728750025987) q[7];
ry(-1.6198617287860717) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIZIII",
"IIIZIIIIZIII",
"ZIIZIIIIIIII",
"IIZIIIIIZIII",
"ZIZIIIIIIIII",
"IIZZIIIIIIII",
"IZIIIIIIZIII",
"ZZIIIIIIIIII",
"IZZIIIIIIIII",
"ZIIIZIIIIIII",
"IIZIZIIIIIII",
"IZIIZIIIIIII",
"IIIIIIIIZIIZ",
"ZIIIIIIIIIIZ",
"IIIZIIIIIIIZ",
"IIZIIIIIIIIZ",
"IZIIIIIIIIIZ",
"IIIIZIIII... | [
0.08333333333333333,
0.16666666666666666,
0.25,
0.25,
0.41666666666666663,
0.16666666666666666,
0.08333333333333333,
0.41666666666666663,
0.25,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.25,
0.08333333333333333,
0.08333333333333333,
0.0833333333333... | 0.970004 | [
1.5379469338989569,
-1.6234247497006031,
-1.5366208286083327,
-1.6248737140568958,
1.5077415904408058,
-1.6018498592968307,
-1.5662728750025987,
-1.6198617287860717,
1.6107322713805252,
1.5669600729644289,
1.570988648319382,
1.5340459755563833,
1.6133421050860826,
1.577981949672155,
1.50... | {
"n_parameters": 21,
"n_qubits": 12,
"optimal_eigenvalue": -4.583333333333334,
"target_ratio": 0.97,
"target_value": -4.445833333333334
} | 24 |
367178388944146384 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 4, 6, 9], [0, 1, 3, 4], [1, 2, 3], [1, 5, 6, 8, 9], [0, 8, 7], [2, 4, 5, 6, 8], [1, 3, 4, 7, 8, 9], [0, 4, 5, 7], [0, 1, 6, 7, 9], [0, 2, 3, 4, 6, 8, 9], [0, 1, 3, 7], [2, 3, 5, 7], [1, 4, 5, 7, 8, 9], [0, 3, 5, 6], [0, 8, 5], [1, 3, 4, 5, 8]]} | {"states": [751, 382], "expectation_value": -2.3927655769260694, "params": [[0.3598], [-0.3624]], "bitstrings": ["0100010000", "1010000001"], "total_optimization_steps": 40, "probabilities": [0.0048916001217340025, 0.00497128580134756], "optimization_time": 6.776811838150024} | 0.25 * (Z(0) @ Z(1)) + 0.19999999999999998 * (Z(2) @ Z(1)) + 0.05714285714285714 * (Z(2) @ Z(0)) + 0.23333333333333334 * (Z(4) @ Z(1)) + 0.22380952380952382 * (Z(4) @ Z(0)) + 0.10714285714285715 * (Z(4) @ Z(2)) + 0.13333333333333336 * (Z(6) @ Z(1)) + 0.19047619047619047 * (Z(6) @ Z(0)) + 0.10714285714285715 * (Z(6) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.4261904761904756], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.40952380952381, "smallest_bitstrings": ["1010000001"], "largest_eigenvalue": 15.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.17580000407953672) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.04756551171640778) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.10082537813994047) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.004520650509428625) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIIZIZIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIIZIIII",
"ZIIZIIIIII",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIZIIZIII"... | [
0.25,
0.19999999999999998,
0.05714285714285714,
0.23333333333333334,
0.22380952380952382,
0.10714285714285715,
0.13333333333333336,
0.19047619047619047,
0.10714285714285715,
0.10714285714285715,
0.2,
0.10714285714285715,
0.05714285714285714,
0.12380952380952381,
0.15714285714285717,
0.... | 0.970474 | [
0.17580000407953672,
-0.04756551171640778,
-0.10082537813994047,
0.004520650509428625,
0.17158905424740922,
-0.01195173192840408,
-0.017070363699171157,
0.027583353920695698,
0.007078066405917086,
-0.23693522400478137,
0.08797151893685166,
0.11763337053392985,
-0.026487752286113903,
0.0359... | {
"n_parameters": 36,
"n_qubits": 10,
"optimal_eigenvalue": -3.4261904761904756,
"target_ratio": 0.97,
"target_value": -3.323404761904761
} | 200 |
c5d2a0621e9dcecb65eadc5509d4551e | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [1598, 1630], "expectation_value": -12.734259955561484, "params": [-0.0039000000000000003, -0.7667, 0.0021000000000000003, 0.4975, 1.5804, -0.0028, 1.5777, -0.0018000000000000002, 0.2762, 0.14350000000000002, 0.1874, 0.9453, 1.0106, 0.4887, 1.0190000000000001, 0.753, 1.5412000000000001, 0.4617, 1.5819, 0.002... | -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(7)) + -0.5... | 18 | 13 | 2 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -13.0, "smallest_bitstrings": ["1100110100001", "1100001000101", "1000100100001", "1100110010001", "1100101010001", "1000100010001", "1100010000011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.08743649769424137) q[0];
rz(-1.4403708797533135) q[0];
rx(0.09393894887712548) q[1];
rz(0.5913182157078832) q[1];
rx(1.4078405758086183) q[2];
rz(0.1407318460299953) q[2];
rx(1.590037714848199) q[3];
rz(0.10840208344072243) q[3];
rx(0.18964145807910252) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZI",
"IIIIIIZIIIIZI",
"IIIIIIZZIIIII",
"IIIIIIIIIIZZI",
"IIIIIIIZIIZII",
"IIIIIIZIIIZII",
"IIIIIIIIIZIZI",
"IIIIIIIZIZIII",
"IIIIIIZIIZIII",
"IIIIIIIIIZZII",
"IIIIIZIIIIIZI",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIIZIIII",
"IIIIZIIIIIIZI",
"IIIIZIIZIIIII",
"IIIIZIZIIII... | [
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
1,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,... | 0.97291 | [
-0.0874364976942414,
-0.7782836179307168,
0.09393894887712548,
0.5913182157078832,
1.4078405758086183,
0.1407318460299953,
1.590037714848199,
0.10840208344072243,
0.18964145807910252,
0.07730924175294455,
-0.0250481159919958,
0.7670952990780986,
1.5475571454171502,
0.28663197303578225,
0... | {
"n_parameters": 70,
"n_qubits": 13,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 10 |
5144181ac27497fdfa9bdb5b8b799630 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [0, 6], "expectation_value": -1.4999059353941624, "params": null, "bitstrings": ["111", "001"], "total_optimization_steps": 9, "probabilities": [1.7262078512802632e-05, 0.9999395445786815], "optimization_time": 1.9782295227050781} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[2];\nry(1.4417) ... | [
"ZIZ",
"ZZI",
"ZII",
"IIZ",
"IZI"
] | [
0.5,
0.5,
-0.5,
0,
0
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
3ab147cc948c972495cc9d6b1a04d6d2 | 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": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [52, 37], "expectation_value": -3.4890656588000333, "params": null, "bitstrings": ["001011", "011010"], "total_optimization_steps": 29, "probabilities": [0.06023624492936539, 0.8645378003136043], "optimization_time": 29.758376359939575} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "000111", "010110", "001011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.2617382474824059) q[0];
rz(-0.25556683543857517) q[0];
rx(3.2549553359388126) q[1];
rz(-0.1904150377377148) q[1];
rx(0.11533762007237594) q[2];
rz(0.15040563274986068) q[2];
rx(-0.11428203016202747) q[3];
rz(0.06697334278189641) q[3];
rx(3.1542430010311207) q[4];
... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IZIIIZ",
"IZIIZI",
"ZZIIII",
"ZIIIZI",
"IZIZII",
"IZZIII",
"IIZZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.977185 | [
-0.2617382474824059,
-0.33943598223353566,
3.2549553359388126,
-0.1904150377377148,
0.11533762007237594,
0.15040563274986068,
-0.11428203016202747,
0.06697334278189641,
3.1542430010311207,
0.320444768261287,
3.301363365899691,
-0.4991032485906577,
3.212741703886446,
-0.18414658324060862,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 28 |
4e1e131ba2ff0afb42d5840cf309482d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [127, 9], "expectation_value": -6.291831558778671, "params": [[-0.0475, -0.055, -0.0606, -0.062200000000000005], [0.059000000000000004, 0.0618, 0.0613, 0.06720000000000001]], "bitstrings": ["10000000", "11110110"], "total_optimization_steps": 10, "probabilities": [0.021699249639817064, 0.030442361871959058],... | -1.25 * (Z(0) @ Z(2)) + -2.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 2.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -1.25 * (Z(1) @ Z(6)) + -2.0 * (Z(5) @ Z(2)) + -1.75 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["11110110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.2989310394956284) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(0.02662389232648926) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.06709085043684684) q[6];
cx q[0], q[6];
h q[7];
cx q[2], q[7];
rz(0.0092121... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIIZI",
"IIZIIZII",
"IZZIIIII",
"IIZIIIZI",
"IIIIZZII",
"IIZIZIII",
"IIIZIZII",
"IZIZIIII",
"ZIIZIIII",
"IIIZIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZII... | [
-1.25,
-2,
-1,
-0.25,
2.5,
-0.25,
-1.25,
-2,
-1.75,
-0.5,
-0.75,
-2,
-1.5,
-0.5,
-1.25,
-0.25,
0.25,
-0.25,
-0.75,
0.75,
-0.5,
-2.25,
-0.75,
3.5
] | 0.97028 | [
0.2989310394956284,
0.02662389232648926,
0.06709085043684684,
0.009212196364062227,
-0.26892546559923447,
0.1378679875471954,
0.20988688397540067,
0.3428483359699397,
0.029685488370151503,
0.32702540149355946,
-0.3974210224490809,
0.2724887268250979,
-0.13774748204954596,
1.113372835236305... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 177 |
09e0b38319eb1ca879eaf51e3a819621 | 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}, {"id": 9}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 9}, {"weight": 16, "source": 0, "target": 4}, {"weight":... | {"states": [1000, 488], "expectation_value": -73.41997916497976, "params": [0.8854000000000001, 0.3134, 0.8892, 0.0024000000000000002, 1.2963, 0.1155, 1.2971000000000001, 0.0073, 1.3055, 0.09970000000000001, 1.3049000000000002, 0.0026000000000000003, 1.2990000000000002, 0.1183, 1.3049000000000002, 0.0061, 1.3075, 0.119... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) @ Z(2)) + 12.0 * Z(2) + 12.5 * Z(0) + 13.5 * Z(1) + 13.0 * Z(3) + ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-95.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["1000010111"], "largest_eigenvalue": 131.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.1762875153776938) q[0];
rz(1.4692909732325345) q[0];
rx(2.0934277271848583) q[1];
rz(-0.07937075135405003) q[1];
rx(1.6568284498685704) q[2];
rz(-0.18053228153831125) q[2];
rx(1.8995801408150859) q[3];
rz(-0.08485962604318376) q[3];
rx(1.5409694044297186) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIIZIIII",
"IZIZIIIIII",
"ZIIIIIIZII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
12,
12.5,
13.5,
13,
13.5,
1.5,
6,
1.5,
-5,
-3.5
] | 0.970802 | [
0.17628751537769377,
1.156424989869735,
2.0934277271848583,
-0.05475804886305752,
1.6568284498685704,
-0.15460084266519486,
1.8995801408150856,
-0.09598229471758522,
1.5409694044297186,
-0.2027909008296096,
-0.03454069201814767,
-0.07659767582349289,
0.9976545158762787,
-0.3934226179849355... | {
"n_parameters": 47,
"n_qubits": 10,
"optimal_eigenvalue": -95,
"target_ratio": 0.97,
"target_value": -92.14999999999999
} | 41 |
8b93e94e7d120e46148ad446833ed9fa | 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": 4}, {"source": 2, "target": 5},... | {"states": [1022, 2047], "expectation_value": -26.689115709717573, "params": [[[-1.0285, 1.1123], [0.0143, 1.0981], [-0.0027, 0.5429], [-0.0032, -0.0028], [-0.0027, -0.0031000000000000003], [0.0023, -0.0023], [-0.003, -0.0027], [-0.0021000000000000003, -0.0029000000000000002], [0.002, 0.0024000000000000002], [-0.0066, ... | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(4)) + 1.0 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(2)) + -2.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(4)) + -3... | 15 | 11 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.2516066485706654) q[0];
ry(0.14225561708995127) q[1];
ry(-0.03840338888089845) q[2];
ry(0.014523612680970667) q[3];
ry(-0.03840338888089845) q[4];
ry(0.06077077514832882) q[5];
ry(-0.2588081100009064) q[6];
ry(-0.0636328262608635) q[7];
ry(-0.006558717681828641) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIIZIZIII",
"IIIIIZIIZII",
"IIIIIZZIIII",
"IIIIZIIZIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZIIIZIII",
"IIIZIIIIZII",
"IIIZIIZIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIII... | [
-1,
-3,
0.5,
-3,
-2.5,
-3,
1.5,
1,
-3,
-2.5,
-3,
1,
-3,
-2.5,
-3,
1.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
1,
0.5
] | 0.976086 | [
-0.2516066485706654,
0.14225561708995127,
-0.03840338888089845,
0.014523612680970667,
0.06077077514832882,
-0.2588081100009064,
-0.0636328262608635,
-0.006558717681828641,
-0.21710259853136601,
0.5032913670811486,
3.0848630393650267,
0.11878388473033642,
-0.03314435296134136,
-0.0000936705... | {
"n_parameters": 20,
"n_qubits": 11,
"optimal_eigenvalue": -31.5,
"target_ratio": 0.97,
"target_value": -30.555
} | 50 |
49c7a353075b9efbb859265b467ce241 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [255, 205], "expectation_value": -2.5746083895660465, "params": [[0.06420000000000001, 0.061500000000000006, 0.0698], [-0.0514, -0.0443, -0.052500000000000005]], "bitstrings": ["100000000", "100110010"], "total_optimization_steps": 10, "probabilities": [0.0054930340148902045, 0.005567131858659027], "optimiza... | -0.25 * (Z(0) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(2)) + -1.25 * (Z(8) @ Z(6)) + 1.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -1.75 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(... | 1 | 9 | 3 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["100110010", "110110010"], "largest_eigenvalue": 16.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.1541915017240319) q[0];
cx q[6], q[0];
h q[7];
cx q[6], q[7];
rz(0.48993347450890307) q[7];
cx q[6], q[7];
cx q[0], q[7];
rz(0.3809036293424193) q[7];
cx q[0], q[7];
cx q[7], q[1];
rz(0.15419150... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IZIIIIIZI",
"IZIIIIZII",
"IIIIIIZZI",
"IZIIZIIII",
"IIIIZIZII",
"ZIZIIIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IZIIIZIII",
"IIIIZZIII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIIZII",
"ZIIZIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"... | [
-0.25,
-2,
-1.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-1.25,
1.75,
-0.5,
-1.75,
-0.75,
-0.25,
-0.25,
-0.75,
-0.75,
1.75,
-0.25,
-1.75,
-0.25,
0,
-1.75,
-0.75,
1.5,
1.5
] | 0.573747 | [
0.1541915017240319,
0.48993347450890307,
0.3809036293424193,
0.39121769979930515,
-0.9672327796190312,
0.5380672003954887,
0.5727038347561656,
-0.27201752472147983,
-0.8740006384221521,
0.9168555925598314
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 228 |
59b55089c15cad6a91f754f2be38a436 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [247, 243], "expectation_value": -0.8114445630587652, "params": [0.5423, 0.2963, 0.3925, 0.2462, 0.5938, 0.020300000000000002, 0.6061000000000001, -0.0022, 0.6023000000000001, 0.0013000000000000002, 0.5949, 0.1782, 0.1547, 0.3075, 0.4964, -0.0637, 0.5953, -0.0422, 0.5963, 0.0298, 0.439, 0.31970000000000004, ... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(4) @ Z(2)) + -0.125 * (Z(0) @ Z(4) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(4) @ Z(2... | 18 | 10 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.25, "smallest_bitstrings": ["0111010000", "1000001011", "1000001101", "1000001110", "0100101100", "1001010010", "011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-2.930992925974156) q[0];
rz(-2.0505334193883) q[0];
rx(0.09974558989948948) q[1];
rz(-0.021916551230833636) q[1];
cx q[1], q[0];
rz(0.7487040703349622) q[0];
cx q[1], q[0];
rz(0.03143390177930412) q[1];
rx(3.064188251569036) q[2];
rz(1.260785857636634) q[2];
rx(3.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZIZ",
"IIIIIZIZIZ",
"IIIIIZZIIZ",
"IIIIIZZZII",
"IIIIIZZZIZ",
"IIIZZIIIII",
"IIZIIIIZII",
"IZIIIIIZII",
"IZZIIIIIII",
"IZZIIIIZII",
"IIZIZIIIII",
"ZIIIZIIIII",
"ZIZIIIIIII"... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.125,
-0.125,
0.1... | 0.978586 | [
3.352192381205431,
-1.3018293490533377,
0.09974558989948948,
-0.021916551230833636,
3.064188251569036,
1.0242823876125022,
3.1401663157651902,
-0.039487779968993025,
-0.24892087794353424,
0.13415136123448565,
3.4156926946764425,
0.5404877583717977,
0.05848107904958504,
0.21099505519505057,... | {
"n_parameters": 28,
"n_qubits": 10,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 50 |
c309a5b49340fd246c3b4bf5605246e0 | 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": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 11, "source": 0, "target": 8}, {"weight": 14, "sourc... | {"states": [235, 233], "expectation_value": -67.7803288368752, "params": [0.16920000000000002, -0.1126, 0.1688, -0.1223, 0.3894, 0.0728, 0.39840000000000003, 0.0385, 0.39, 0.04, 0.3907, 0.0219, 0.39790000000000003, 0.0664, 0.39230000000000004, 0.046700000000000005, 0.12390000000000001, -0.1343, 0.11510000000000001, -0.... | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(7)) + 10.5 * Z(2) + 6.5 * Z(0) + 12.5 * Z(1) + 12.0 * Z(3) + 2.5 * Z(4) + 9.5 * Z(5)... | 5 | 9 | 4 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["100010110"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.260636512428376) q[0];
rz(0.0011430584678437938) q[0];
rx(0.5708160015587255) q[1];
rz(-0.20261498390763766) q[1];
rx(0.3673464898453403) q[2];
rz(0.06230705922210955) q[2];
rx(-0.08634872272234737) q[3];
rz(0.4989820713716071) q[3];
rx(0.42936439513247243) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IZIIIZIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIZIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
10.5,
6.5,
12.5,
12,
2.5,
9.5,
6,
13,
-9
] | 0.971144 | [
0.26063651242837593,
-0.24053022041624506,
0.5708160015587255,
0.04379252908037327,
0.36734648984534035,
0.12698123795332195,
-0.08634872272234735,
0.06446176792776889,
0.4293643951324724,
-0.35786124301264266,
0.47836199536933666,
0.1707959450818487,
-0.07267358067059938,
0.02011840381124... | {
"n_parameters": 171,
"n_qubits": 9,
"optimal_eigenvalue": -76.5,
"target_ratio": 0.97,
"target_value": -74.205
} | 50 |
a9b922514c992be93699dd7db70ce8b4 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [31, 63], "expectation_value": -1.8195346039548843, "params": [0.2536, 0.25930000000000003, 0.27540000000000003, 0.2726, -0.0006000000000000001, -0.0049, 0.2656, 0.2616, 0.45930000000000004, 0.43160000000000004, 0.497, 0.5008, 0.49670000000000003, 0.4993, 0.499, 0.5028, 0.5048, 0.5016, 0.5032, 0.4995, 0.2457... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(0) @ Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(5) @ Z(7)) + -0.125 * (Z(0) @ Z(6) @ Z(7)) + -0.125 * (Z(5) @ Z(6) @ Z(7)) + 0.12... | 14 | 10 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.625, "smallest_bitstrings": ["1011100000", "1011000100", "0111001000", "0111000100", "0111010000", "1010110000", "1010100010", "1010100001",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.010677333795516955) q[0];
cx q[3], q[0];
h q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(-0.010677333795516955) q[6];
cx q[3], q[6];
cx q[0], q[6];
cx q[3], q[5];
rz(-0.010677333795516955) q[5];
cx q[3], q[5];
cx q[3], 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": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIIZZIIIIZ",
"IIZIZIIIIZ",
"IIZZIIIIIZ",
"IIZZZIIIII",
"IIZZZIIIIZ",
"IIIIZIZIII",
"IZIIIIZIII",
"ZIIIIIZIII",
"IZIIZIIIII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IZIIZIZIII"... | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
... | 0.995478 | [
-0.010677333795516955,
1.4977978858678846,
-1.492391539426082,
1.5317889933658528,
-1.6343254047955877,
1.6306711287819402
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 25 |
f62281c68165f3e4d14cdd3e07ccca91 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [42, 43], "expectation_value": -4.435093159307662, "params": [0.0536, 0.0324, 0.061500000000000006, 0.034, 0.2025, -0.0029000000000000002, 0.20140000000000002, -0.0028, 0.0649, 0.0145, 0.06420000000000001, 0.0118, 0.2068, -0.0014, 0.20140000000000002, -0.0023, 0.16440000000000002, -0.0081, 0.1633, -0.0058000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -1.0 * Z(1) + -2.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + -1.0 * Z... | 6 | 7 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.11110714934458205) q[0];
rz(1.5653773879816963) q[0];
rx(0.2678907842773557) q[1];
rz(1.8739954800679133) q[1];
rx(-0.2103826577110534) q[2];
rz(1.6030227083907995) q[2];
rx(0.45384505780804696) q[3];
rz(2.0339185281696217) q[3];
rx(0.23201361940230053) q[4];
rz(2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] 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": []} | [
"IIIIIZZ",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"IIIZZII",
"IZIIZII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-0.5,
-1,
-0.5,
-1,
-1.5
] | 0.9716 | [
-0.11110714934458206,
-0.005418938813200692,
0.26789078427735563,
0.30319915327301716,
-0.21038265771105338,
0.0322263815959039,
0.4538450578080469,
0.4631222013747248,
0.23201361940230053,
0.7097441236500686,
0.1588386398178482,
-0.4391835547948592,
0.33551123617620476,
-0.270766773880199... | {
"n_parameters": 120,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 171 |
69144809aea48cb46eae9c3950f24a15 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 2], "expectation_value": -2.4960403101269373, "params": null, "bitstrings": ["111", "101"], "total_optimization_steps": 6, "probabilities": [0.0039596610753226446, 0.9960403245258139], "optimization_time": 1.6691913604736328} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["101"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[0];\nry(-1.5681)... | [
"ZZI",
"IZZ",
"IIZ",
"IZI",
"ZII"
] | [
0.5,
0.5,
-1,
-0.5,
-1
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
837aef83bf03fd18b079a281d9de166f | 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": 13, "source": 0, "target": 5}, {"weight": 13, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {... | {"states": [179, 122], "expectation_value": -18.315625292752156, "params": [[-0.035, 0.0688], [0.0555, -0.0577]], "bitstrings": ["01001100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.010166470085676881, 0.011277626218742835], "optimization_time": 3.3775455951690674} | 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(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.07765590714142556) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.07765590714142556) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.07765590714142556) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.07765590714142556) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10.5,
11.5,
18.5,
14,
19,
0.5,
16.5,
13
] | 0.971603 | [
-0.07765590714142556,
-1.5377008644579224,
1.1115691831187453,
-1.4419585168856286,
-1.6020903063782164,
-1.6805051446086472,
1.3619184107862854,
-1.445708208250168,
1.1918981913168127,
1.5614268144057815,
0.5289298608491824,
2.9757745457669236,
0.6756497393842693,
3.567192846486,
2.0962... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -73.5,
"target_ratio": 0.97,
"target_value": -71.295
} | 58 |
e7056fbb187e68baa5d05b0b9cb6a901 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [109, 157], "expectation_value": -0.1284371178419908, "params": [[0.0492, 0.0502, 0.0251], [-0.036000000000000004, -0.0495, -0.0315]], "bitstrings": ["10010010", "01100010"], "total_optimization_steps": 10, "probabilities": [0.005093435675659527, 0.005093435675659531], "optimization_time": 9.277066707611084} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(4) @ Z(2) @ Z(5)) + 0.12... | 1 | 8 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01100010", "10010010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.3483964545021323) q[0];
h q[1];
ry(1.3483964545021323) q[1];
h q[2];
ry(-1.5377717834128013) q[2];
h q[3];
ry(-0.5718354355912505) q[3];
ry(-0.060597795734454125) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[3];
ry(0.5718354355912505) q[3];
cx q[5], q[3];
ry(-0.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZIZII",
"IIZIIZII",
"IIZZIIII",
"IIIZIZIZ",
"IIZIIZIZ",
"IIZZIIIZ",
"IIZZIZII",
"IIZZIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"ZIIIIIZI",
"IIIZZIII",
"ZIIIZIII",
"ZIIZIIII",
"IIIZZIZI",
"ZIIIZIZI",
"ZIIZIIZI",
"ZIIZZII... | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.125,
-0.125,
-0.125,
-0.125,
0.25,
0.125,
-0.75,... | 0.996817 | [
-1.5377717834128013,
-1.4355349010589802,
1.3483964545021323,
-1.143670871182501,
0.7256483222204215,
-0.3397090750168832,
0.4854071333661133,
-0.3806094686092039,
0.2510875381992757,
-0.09032787450619814,
0.08059260300373108,
0.19771184529814245,
-0.14932726000292476,
-0.10015168483220893... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
9e8a866d2c0011b6946d4c64e758f31c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 28], "expectation_value": -0.010421205406432058, "params": [[0.0199], [-0.013800000000000002]], "bitstrings": ["111100", "100011"], "total_optimization_steps": 10, "probabilities": [0.01571098122164353, 0.015728215089825498], "optimization_time": 1.0850715637207031} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0097347073373075) q[0];
rz(-0.14101462084387117) q[0];
rx(-0.38750982357956676) q[1];
rz(-0.3057211553890907) q[1];
cx q[1], q[0];
rz(0.13275230381341913) q[0];
cx q[1], q[0];
rx(1.3782189303544248) q[0];
rz(-0.29267031617775396) q[0];
rz(-0.09789635874452761) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-1,
-1,
0
] | 0.971229 | [
1.0097347073373075,
-0.008262317030451896,
-0.38750982357956676,
-0.3057211553890907,
1.2302795857067115,
-0.013592108438004277,
1.1428987618315947,
0.21610326377545203,
-0.0945257361764085,
0.05751696828617267,
1.1584777199858318,
-0.024575436526478617,
1.269911032440262,
0.08978829929159... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 20 |
5b1b8be5e968ea2e2c88472859e2d934 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 10}, {"capacity": 5, "source": 0, "target": 11}, {"capacity": 1, "source"... | {"states": [2048, 2047], "expectation_value": -18.685706152435614, "params": [[[-0.0098, -0.0021000000000000003], [0.0006000000000000001, 0.0006000000000000001], [0.0016, -0.0029000000000000002], [0.0019, -0.003], [-0.007200000000000001, -0.0025], [-0.0017000000000000001, 0.0026000000000000003], [-0.0089, 0.00260000000... | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(2)) + 0.75 * (Z(3) @ Z(0)) + -1.5 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(3)) + -0.25 * (Z(1) @ Z(7)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(1)) + -1.0 * (Z(9) @ Z(3)) + -0.75 * (Z(9) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(9)) + -1.0 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ ... | 15 | 12 | 3 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.25, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 32.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.12979768535035865) q[0];
ry(-0.005159215432228456) q[1];
ry(0.045359759450975826) q[2];
ry(0.017015341713928822) q[3];
ry(-0.034501380695975525) q[4];
ry(0.18337295216062818) q[5];
ry(-0.1957496682117164) q[6];
ry(0.15682832767453742) q[7];
ry(-0.2394921201247145... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIZIIIIZII",
"IIIIZIIIZIII",
"IIIIZIIIIIZI",
"IIIZIIIIZIII",
"IIIZIIIIIIZI",
"IIZIIIIIZIII",
"IIZIIIIIIIZI",
"IIIIIIIZIIZI",
"IIZIIIIZIIII",
"IIIIIIZIIZII",
"IIZIIIZIIIII",
"IIIIIIZZIIII",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IZIIIIIII... | [
-0.5,
-1.25,
0.75,
-1.5,
-1.25,
-0.25,
-0.75,
-0.25,
-1,
-0.75,
-0.5,
-0.5,
-1,
-0.5,
-1.5,
-0.25,
-1,
-0.5,
-1,
-1,
-1.5,
-0.75,
-1.5,
3.75,
-0.25,
-5.5,
-2,
0.75,
0.5,
0.25,
1.5,
-3,
-0.25,
2,
2.25
] | 0.970049 | [
-0.12979768535035865,
-0.005159215432228456,
0.045359759450975826,
0.017015341713928822,
-0.034501380695975525,
0.18337295216062818,
-0.1957496682117164,
0.15682832767453742,
-0.23949212012471457,
0.005027699293024372,
-1.1284665703303074,
-0.16059897981806692,
-0.013014334539601782,
0.022... | {
"n_parameters": 55,
"n_qubits": 12,
"optimal_eigenvalue": -19.25,
"target_ratio": 0.97,
"target_value": -18.6725
} | 58 |
580771061e8d42ba96856c9ddd3dae62 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [111, 47], "expectation_value": -36.639489842086974, "params": [-0.0015, 0.0061, 0.0016, 0.0004, 0.1119, 0.0067, 1.5316, 0.0085, 1.7972000000000001, 0.0024000000000000002, 0.25170000000000003, 0.0019, 1.8087000000000002, 0.0077, 1.8064, 0.0098, 1.8015, 0.009000000000000001, 1.8009000000000002, 0.0016, 0.007,... | 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(6) @ Z(3)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(0) @ Z(7)) + 7.5 * (Z(1) @ Z(8)) + 7.5 * (Z(2) @ Z(9)) + 14.5 * Z(4) + 1.0 * Z(3) + -4.0 * Z(5) + 17.5 * Z(6) + 9.5 * Z(7) + -7.0 * Z(0) + -1.0 * Z(8) + -5.5 * Z(1) + 1.5 * Z(9) + -4.5 * Z(2) | 18 | 10 | 1 | {"smallest_eigenvalues": [-92.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.0, "smallest_bitstrings": ["1111010000"], "largest_eigenvalue": 101.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.33910418328044467) q[0];
rz(-0.227378019929402) q[0];
rx(0.14931313601550733) q[1];
rz(-0.27642408643454075) q[1];
rx(0.10201963233278755) q[2];
rz(-0.3148053680338435) q[2];
rx(0.12791457402311435) q[3];
rz(0.08903360028939439) q[3];
rx(3.316492962300279) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZIIZIII",
"IIZZIIIIII",
"IIZIIIIIIZ",
"IZIIIIIIZI",
"ZIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IIIIIIIIIZ",
"IZIIIIIIII",
"IIIIIIIIZI",
"ZIIIIIIIII",
"IIIIIIIZII"
] | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
14.5,
1,
-4,
17.5,
9.5,
-7,
-1,
-5.5,
1.5,
-4.5
] | 0.976992 | [
-0.3391041832804446,
-0.38914840341544665,
0.14931313601550733,
-0.27642408643454075,
0.10201963233278755,
-0.3148053680338435,
0.12791457402311435,
0.08903360028939439,
3.316492962300279,
0.28790314385012605,
-0.1178734487401655,
-0.3189164466265286,
2.988123869900094,
-0.0454403113573647... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -92,
"target_ratio": 0.97,
"target_value": -89.24
} | 22 |
edc3bac605c0e8fb4f027513dd92e8fb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [237, 173], "expectation_value": -0.15256540547431247, "params": [1.7059, 0.0036000000000000003, 1.4826000000000001, 0.007, 1.6954, 0.0067, 1.2997, 0.0021000000000000003, 1.6967, 0.0032, 1.7037, 0.0057, 1.197, 0.0099, 1.6964000000000001, 0.0021000000000000003, 0.0016, 0.006500000000000001, 0.0025, 0.0047, 0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 18 | 8 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -1.25, "smallest_bitstrings": ["01010100", "11000010", "00110001", "00111000", "10010001", "10000011", "01000110", "01001010", "01110000", "... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZIIIZ",
"IIZZZIII",
"IIZZZIIZ",
"IZIIZIII",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0,
0.125,
-0.125,
0.12... | 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 |
8344618687521913673 | hypermaxcut | qaoa | {"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": [207, 237], "expectation_value": -1.7938824592224671, "params": [[-0.3784], [0.36920000000000003]], "bitstrings": ["00110000", "00010010"], "total_optimization_steps": 40, "probabilities": [0.017181243772830753, 0.018835669475959774], "optimization_time": 4.409370183944702} | 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... | 1 | 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] 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": []} | [
"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 |
17305e67dbef55db83cc5ad58149e99d | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1023, 319], "expectation_value": -2.049010471866334, "params": [[0.066], [-0.0704]], "bitstrings": ["0000000000", "1011000000"], "total_optimization_steps": 10, "probabilities": [0.0018408659996278678, 0.0019191814155544006], "optimization_time": 3.03271484375} | -2.0 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(4) @ Z(8)) + -2.0 * (Z(1) @ Z(8)) + -1.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + -2.0 * (Z(7) @ Z(5)) + -3.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(1)) + -2.5 * (Z(9) @ Z(5)) + -2.5 * (Z(9) @ Z(7)) + 0.5... | 5 | 10 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["1011000000"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.7779307942734098) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(-0.019056816927033645) q[2];
cx q[3], q[2];
cx q[0], q[2];
rz(-0.7779307942734098) q[2];
cx q[0], q[2];
rz(-1.2047947436001314) q[0];
rx(-1.072090424510769) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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[3], q[0];
rz(... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIIIZIZ",
"IZIIIZIIII",
"IZIIIIIIZI",
"IIIIIZIIZI",
"IZIIZIIIII",
"IZZIIIIIII",
"IIZIZIIIII",
"ZZIIIIIIII",
"ZIIIIZIIII",
"ZIIIIIIIZI",
"ZIIIZIIIII",
"ZIZIIIIIII",
"IZIZIIIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"ZIIZIIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ"... | [
-2,
0.5,
-2,
-2,
-2,
-1.5,
0.5,
0.5,
-2,
-3.5,
0.5,
0.5,
-2.5,
-2.5,
0.5,
1,
-2,
-2.5,
-1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.606852 | [
-0.7779307942734098,
-0.019056816927033645,
-1.204794743600131,
-0.15185329437607098,
-0.7774373089750254,
-0.4361073806445658,
-1.3080971813505486,
-1.072090424510769
] | {
"n_parameters": 8,
"n_qubits": 10,
"optimal_eigenvalue": -25.5,
"target_ratio": 0.97,
"target_value": -24.735
} | 216 |
26d7f56e59bfdf48052023802b40605b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [6, 28], "expectation_value": -0.163161367463247, "params": [[0.051500000000000004, 0.0737], [-0.0245, -0.062]], "bitstrings": ["11001", "00011"], "total_optimization_steps": 10, "probabilities": [0.03525414420013752, 0.03643664040105042], "optimization_time": 2.26248836517334} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["00011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"IZIZI",
"ZZIII",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-1,
0
] | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
948e73d26580d7c0cc9a877617a692aa | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 7, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 7}, {"capac... | {"states": [35, 43], "expectation_value": -19.516210701172007, "params": [-0.9011, 0.6546000000000001, 0.1237, -0.008, 0.0026000000000000003, 1.1503, -0.0025, 0.41950000000000004, 0.0053, 0.8645, 0.0071, 1.4509, -0.0014, 0.24500000000000002, 0.0057, 0.9836, -1.0499, 0.43410000000000004, 0.4636, 0.2651, 0.0032, 1.305100... | -1.75 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(1)) + -1.5 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(7)) + 2.0 * (Z(9) @ Z... | 6 | 10 | 2 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["1111010100"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.9428513441793349) q[0];
rz(2.41740016721155) q[0];
rx(-0.06541283581336957) q[1];
rz(2.8450035049979903) q[1];
rx(-0.03181264950285942) q[2];
rz(2.4393102649571254) q[2];
rx(0.037622177953360134) q[3];
rz(1.603473107672479) q[3];
rx(-1.2515744433774152) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIZIIZII",
"IIIIZIIIZI",
"IIZIIIIZII",
"IIZIIIIIZI",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIIZIIZIII",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIZIIZIIII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZIIIIZIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"IZIIIIZIII",
"IZIIIZIIII"... | [
-1.75,
-1.25,
-0.5,
-1.25,
-1.5,
-0.75,
-1,
-1,
-1,
-0.25,
-0.5,
-1.75,
-1,
2,
-1.5,
-1.75,
-1,
-0.5,
-0.25,
-0.5,
-2,
-0.25,
-1,
-1.75,
-0.75,
0,
0.25,
4.5,
-1.25,
2.25
] | 0.97326 | [
-0.9428513441793349,
0.8466038404166532,
-0.06541283581336957,
1.2742071782030941,
-0.03181264950285942,
0.8685139381622284,
0.037622177953360134,
0.032676780877582315,
-1.2515744433774154,
0.9889978399549705,
-0.07762164859431343,
1.0604060642884887,
0.6982556224832279,
1.266757938460107,... | {
"n_parameters": 94,
"n_qubits": 10,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 79 |
44c348eb4d3479dc9843e8d54a45f09b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"source": 2, "target":... | {"states": [684, 748], "expectation_value": -5.037458544298946, "params": [[1.5812000000000002, -0.0018000000000000002, 1.586, 0.1233, 1.5817, 0.0019, 0.6061000000000001, 0.9365, 0.0022, -0.0017000000000000001], [1.5872000000000002, 0.0033, 1.5789, 1.6097000000000001, 1.5837, 0.0023, 1.6078000000000001, 1.6101, -0.0022... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(6) @ Z(9)) + -1.0 * Z(1) + 0.0 * Z(0) + -0.5 * Z(4) + -0.5 * Z(7) + -0.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z(8) + -0.... | 10 | 10 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0100010011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.0932081704490935) q[0];
ry(0.062128045595679984) q[1];
ry(1.40679526383243) q[2];
ry(-0.024459957152013913) q[3];
ry(1.6708598740745333) q[4];
ry(-0.003972274158178635) q[5];
ry(0.5405827800929504) q[6];
ry(0.5149567111932568) q[7];
ry(-0.08825632071855338) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIZIIIIIZI",
"IIIIZZIIII",
"IIIIZIIZII",
"IZZIIIIIII",
"IZIIIIIZII",
"IZIIIIZIII",
"ZIIIIIZIII",
"ZIIZIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIIIIIZII",
"IZIIIIIIII",
"IIIIIIZIII",
"ZIIIIIIIII",
"IIIZIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
0
] | 0.974713 | [
1.0932081704490935,
0.062128045595679984,
1.40679526383243,
-0.024459957152013913,
1.6708598740745333,
-0.003972274158178635,
0.5405827800929504,
0.5149567111932568,
-0.08825632071855338,
0.07101951472238127,
1.973457021110226,
-0.02586576177284471,
1.5454909061365398,
2.6691211726460398,
... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 20 |
74a9039e61abdfc370e0e9ccbda58085 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [18, 45], "expectation_value": -0.07096549217349744, "params": [[0.060700000000000004], [-0.0495]], "bitstrings": ["101101", "010010"], "total_optimization_steps": 10, "probabilities": [0.01656781961205697, 0.016929054458114157], "optimization_time": 0.9848740100860596} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + 0.0 * Z(3) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010010"], "largest_eigenvalue": 6.0} | 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],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[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[3];
rz(x0) q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"IIZIZI",
"ZIIIZI",
"ZZIIII",
"IIIZZI",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIZIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
0,
-0.5,
0
] | 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 |
-4228333908925918309 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3, 5], [1, 2, 3], [0, 4]]} | {"states": [23, 15], "expectation_value": -0.2655047535405675, "params": [[0.279], [-0.2844]], "bitstrings": ["101000", "110000"], "total_optimization_steps": 30, "probabilities": [0.025075999492264363, 0.02507599949226437], "optimization_time": 1.6053731441497803} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.3333333333333333 * Z(3) + 0.16666666666666663 * Z(0) + 0.16666666666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.1666666666666665, -1.1666666666666665, -1.1666666666666665], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.1666666666666663, "smallest_bitstrings": ["000110", "101000", "110000"], "largest_eigenvalue": 2.4999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.3324732024832375) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.3324732024832375) q[5];
cx q[3], q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(0.3324732024832375) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.3324732024... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"ZIZIII",
"ZIIIIZ",
"IIZIZI",
"IIZZII",
"IIIZZI",
"IZIIIZ",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666663,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0
] | 0.729812 | [
0.3324732024832375,
1.4770792826232364,
1.0805848051803806,
-0.3133167948745504,
-0.8357533287424126
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -1.1666666666666665,
"target_ratio": 0.97,
"target_value": -1.1316666666666666
} | 127 |
0541faf635a6399f550a5b5935bfa17a | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [749, 747], "expectation_value": -2.723242203438045, "params": null, "bitstrings": ["0100010010", "0100010100"], "total_optimization_steps": 92, "probabilities": [0.05307625573892607, 0.7152104108042197], "optimization_time": 332.87850165367126} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100010100", "0011000010", "1000001001", "0010011000", "0100100010"], "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(0.2586347423333518) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.2586347423333518) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2586347423333518) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.2586347423333518) q[2];
cx q[3], q[2];
rz... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.0342) 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]... | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIIZZIIIZ",
"IIIIZZZIII",
"IIIIZZZIIZ",
"IIZZIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IZZZIIIIII",
"IIIIIIZIZI"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.2... | 0.849143 | [
0.2586347423333518,
-0.9522193741903392,
-0.4483492681819256,
-1.0023321824572908,
0.8794944450881496,
-1.7734914868935794,
-1.1441282434786142,
-0.46313879118016416
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 241 |
6f58a69b2571e326902fef18141f52be | 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": -99.92782171556486, "params": [-0.0027, 0.0063, 2.794, 0.002, 1.2419, 0.005, 2.789, 0.0048000000000000004, 2.8002000000000002, 0.0044, 2.7977000000000003, 0.009600000000000001, 1.5636, 0.0079, 2.7989, 0.0037, 0.9741000000000001, 0.0027, 0.0024000000000000002, 0.0085, 0.0004, ... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(6) @ Z(3)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(1)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(8) @ Z(7)) + -7.0 * Z(0) ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-130.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.5, "smallest_bitstrings": ["1010001011"], "largest_eigenvalue": 237.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.11305437552955859) q[0];
rz(-0.3866063652216454) q[0];
rx(2.956215696039964) q[1];
rz(-0.16738753110917093) q[1];
rx(0.2338095222892539) q[2];
rz(-0.05850116306542053) q[2];
rx(3.1797808180519973) q[3];
rz(0.09869195174254757) q[3];
rx(3.1340378716455897) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIZIIZII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIIIZIII",
"IIZZIIIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-7,
25,
30,
9.5,
14,
9,
16.5,
20.5,
4.5,
-10.5
] | 0.972455 | [
-0.1130543755295586,
-0.2282902321568646,
2.956215696039964,
-0.16738753110917093,
0.2338095222892539,
-0.05850116306542053,
3.1797808180519973,
0.09869195174254757,
3.1340378716455897,
-0.10247719327928802,
3.146857364689856,
-0.027410710348621248,
0.4983121939276689,
0.030231929558820148... | {
"n_parameters": 28,
"n_qubits": 10,
"optimal_eigenvalue": -130.5,
"target_ratio": 0.97,
"target_value": -126.585
} | 11 |
5824ffa6b73ef6ad0ee2303e68693ae5 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"sour... | {"states": [63, 127], "expectation_value": -9.771290533348987, "params": null, "bitstrings": ["11000000", "10000000"], "total_optimization_steps": 94, "probabilities": [0.1961595384080402, 0.3227164214683837], "optimization_time": 138.1875865459442} | -2.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + 1.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.208624356508972) q[0];
ry(0.3445826733055093) q[0];
rz(0.3425534279700724) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.06813779975224218) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.1150220041142146) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.06813779975224218) q... | null | {"node": 0} | {"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(1.5708) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIIIIZ"
] | [
-2.5,
-2,
-2.5,
-2.5,
-2.5,
-2.5,
1,
-2.5,
1,
-2.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.972363 | [
0.06813779975224218,
-0.1150220041142146,
0.05850225544978922,
-0.18272903475547075,
1.574167388603061,
-1.246989840947977,
-1.6907699301091281
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 26 |
5a1527813da7c534130c872b3bb3e98c | 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": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, ... | {"states": [236, 109], "expectation_value": -9.582055420699614, "params": null, "bitstrings": ["00010011", "10010010"], "total_optimization_steps": 62, "probabilities": [0.07632024801692329, 0.6620715813116066], "optimization_time": 83.70552086830139} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + 0.0 * Z(4) + -0.25 * Z(0) + -2.25 * Z(6... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.29304397876910926) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.02674098017791228) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(-0.04175429471611432) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIZIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IIIZIIZI",
"IZIIIIZI",
"IIIZIZII",
"IZIIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"IIZZIIII",
"IZZIIIII",
"IZIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIZIIIII",
"IIIIZIII"
] | [
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-1,
-0.75,
1.25,
-1.25,
-1,
-0.5,
-1,
0,
-0.25,
-2.25,
1,
1,
0,
1.5,
-1
] | 0.971046 | [
0.29304397876910926,
0.02674098017791228,
-0.04175429471611432,
0.31653577106034975,
-0.7674656124835568,
0.11950634229219104,
-0.8301752525936286,
0.7774601513321433,
-0.3757443019400376,
-0.4588934753783208,
1.4706729354158479,
0.367692223145139,
0.11452940949680336,
-0.16572355263815042... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 167 |
69144809aea48cb46eae9c3950f24a15 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [12, 9], "expectation_value": -1.4741122302370115, "params": null, "bitstrings": ["0011", "0110"], "total_optimization_steps": 12, "probabilities": [0.07397885559690098, 0.9005801026366488], "optimization_time": 5.077877044677734} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + 0.0 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1100", "0110", "0011"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IZIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"IIZI",
"ZIII"
] | [
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
0
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
f0c12db79dee0b687c7216d34d2c80e9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 6... | {"states": [1, 17], "expectation_value": -0.1683481983809578, "params": [[0.0671], [-0.07100000000000001]], "bitstrings": ["1111110", "1101110"], "total_optimization_steps": 10, "probabilities": [0.009183976681987189, 0.009273054701919466], "optimization_time": 1.8556067943572998} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + -0.75 * Z(4) + 0.7... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1101110"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.45605851751608306) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.45605851751608306) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.45605851751608306) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.45605851751608306) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3]... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IZIZIII",
"IIIZZII",
"ZIIIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
1.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
0.75,
-0.25,
-0.5,
-0.75,
0.75,
-0.75,
0.75
] | 0.570419 | [
-0.45605851751608306,
-0.12274039644831539,
0.1713832364029646,
1.4202059135694185,
-1.2442458492292447,
-1.3380302371622426
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 159 |
5a8eac0760a558d4174437be478ec0aa | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 4}, {"source": 1, "target": 4}]} | {"states": [27995, 27885], "expectation_value": -5.867551351547848, "params": [[-0.2018, -0.222, -0.2584], [0.2285, 0.1733, 0.1902]], "bitstrings": ["001001010100100", "001001100010010"], "total_optimization_steps": 30, "probabilities": [0.0017949132359099487, 0.0017949132359099489], "optimization_time": 30.35477685928... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 1 | 15 | 3 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.999999999999947, "smallest_bitstrings": ["001001100010010"], "largest_eigenvalue": 24.00000000000008} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.82536574049687) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.24273634073259914) q[1];
h q[2];
h q[3];
ry(-0.24273634073259914) q[3];
cx q[2], q[3];
ry(0.24273634073259914) q[3];
cx q[2], q[3];
ry(1.300380278656536) q[2];
ry(-0.845563361950822) q[3];
h q[4];
cx q[4], q[1];
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] 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... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
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1,
1,
1,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75,
1,
1,
1
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
-0.5677464941140427,
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0.6740485844110712,
1.8584456786071313,
-0.3550392547384828,
-0.049666130392177224,
0.1283809090165161,
0.14940958954842865,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
-3182680652728868492 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 4, 6, 7], [0, 1, 2, 4, 6, 7], [0, 1, 2, 3, 4], [0, 5], [5, 6], [4, 5]]} | {"states": [117, 155], "expectation_value": -0.019512099627516225, "params": [[0.053000000000000005], [-0.044700000000000004]], "bitstrings": ["10001010", "01100100"], "total_optimization_steps": 10, "probabilities": [0.004044425230486139, 0.004045615069555573], "optimization_time": 0.8727412223815918} | 0.11666666666666667 * (Z(1) @ Z(2)) + 0.08333333333333334 * (Z(3) @ Z(2)) + 0.08333333333333334 * (Z(3) @ Z(1)) + 0.11666666666666667 * (Z(4) @ Z(2)) + 0.11666666666666667 * (Z(4) @ Z(1)) + 0.08333333333333334 * (Z(4) @ Z(3)) + 0.06666666666666667 * (Z(6) @ Z(2)) + 0.06666666666666667 * (Z(6) @ Z(1)) + 0.03333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.1], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0999999999999996, "smallest_bitstrings": ["01100100"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(8.326210584655193e-08) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-4.492779852640545e-08) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-4.492779852640545e-08) q[3];
cx q[1], q[3];
h q[4];
cx q[2], q[4];
rz(8.326210584655193e-08) 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIZZIIII",
"IZZIIII... | [
0.11666666666666667,
0.08333333333333334,
0.08333333333333334,
0.11666666666666667,
0.11666666666666667,
0.08333333333333334,
0.06666666666666667,
0.06666666666666667,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.03333333333333333,
0.066666666666666... | 0.744898 | [
8.326210584655193e-8,
-4.492779852640545e-8,
-7.158252270191018e-9,
-4.9420502461115786e-8,
1.1543346554076846e-8,
1.304688391635964e-9,
0.6082456807607461,
1.5707962532767987,
1.5707962668598956,
-1.5707963700317975,
-1.570796293804449
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -2.1,
"target_ratio": 0.97,
"target_value": -2.037
} | 255 |
1600da48c768639b2cb0d1bea5b2382e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [0, 253], "expectation_value": -3.46756740755367, "params": [[[0.0022, -0.0025], [-0.8476, 0.8987], [-0.002, 0.8759], [-0.003, 0.0022], [-0.0033, -0.0026000000000000003], [0.0019, -0.0026000000000000003], [-0.0028, -0.0025], [-0.4006, -0.0019], [0.0033, 0.0063]], [[0.004, 0.8255], [0.9046000000000001, -0.002... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(7)... | 15 | 9 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000000", "100000010", "100000110", "100010110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.038072023806543384) q[0];
ry(-1.4527524474718614) q[1];
ry(-0.032233288270160754) q[2];
ry(-0.0832943436119534) q[3];
ry(-0.11874845093962502) q[4];
ry(-0.10854964528173822) q[5];
ry(0.0772935131286506) q[6];
ry(-0.16161809526456616) q[7];
ry(-0.011203197392025162... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IZIIIIIIZ",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIIZIZII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIIZIZIII",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII"
] | [
-0.25,
-0.5,
-0.5,
1,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
0,
-0.25,
0.25,
0.5,
0,
-0.5,
0.75
] | 0.970487 | [
-0.038072023806543384,
-1.4527524474718614,
-0.032233288270160754,
-0.0832943436119534,
-0.11874845093962502,
-0.10854964528173822,
0.0772935131286506,
-0.16161809526456616,
-0.011203197392025162,
0.07469616500222398,
1.832898403992749,
1.3201883856362548,
-0.04354490294058532,
0.055636690... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 27 |
f5111a52f17f533e17f8c384d135402e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [181, 174], "expectation_value": -11.254283884222371, "params": [[-0.025500000000000002, -0.0275], [0.0342, 0.0449]], "bitstrings": ["101001010", "101010001"], "total_optimization_steps": 10, "probabilities": [0.004072972125863175, 0.00440617566167635], "optimization_time": 3.710247039794922} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(8)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(8)) + 4.5 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 178.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.007212776099781059) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.007212776099781059) q[2];
cx q[1], q[2];
rz(0.780813702981237) q[2];
rx(1.5721006595659317) q[2];
h q[3];
cx q[1], q[3];
rz(-0.007212776099781059) q[3];
cx q[1], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"IZIIZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"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,
19,
7.5,
0,
19,
9,
10.5,
9,
23.5,
13.5
] | 0.97105 | [
-0.007212776099781059,
-1.3592743259066122,
1.6537158779789607,
0.7808137029812368,
1.67390823835905,
-1.2343604044739556,
-1.5525304193852054,
-1.4452878913400449,
1.572100659565932,
-1.2309330465006443,
-1.5734411619713957,
0.08174358873233034,
-0.2046395037677557,
-1.0212890304073738,
... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -82.5,
"target_ratio": 0.97,
"target_value": -80.02499999999999
} | 58 |
8039ad0cb583c24d8c620a2793c51821 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [42, 14], "expectation_value": -5.499901760569898, "params": null, "bitstrings": ["1010101", "1110001"], "total_optimization_steps": 30, "probabilities": [1.6353513475195754e-05, 0.9999508525588311], "optimization_time": 25.907594203948975} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(5) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1100110", "1110001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.20303684440564376) q[0];
rz(pi/2) q[0];
ry(-0.32370665152343553) q[1];
ry(0.22833395296615872) q[2];
ry(0.12803514223681636) q[3];
ry(0.27422120138083705) q[4];
ry(-0.09270289822469076) q[5];
ry(0.1081979051325857) q[6];
ry(0.9868045862664391) q[7];
ry(0.626985359... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IZIIZII",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IIIZIZI",
"ZIIIIZI",
"IIZIZII",
"ZIZIIII",
"IIZIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-0.5,
-1,
-1.5,
-1.5,
-1
] | 0.977761 | [
0.20303684440564376,
-0.32370665152343553,
0.22833395296615872,
0.12803514223681636,
0.27422120138083705,
-0.09270289822469076,
0.1081979051325857,
0.9868045862664391,
0.6269853598514232,
-0.07359434885060798,
-0.34311618670649313,
0.2948355938221957,
0.22652888468596516,
-0.90144633473986... | {
"n_parameters": 140,
"n_qubits": 12,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 58 |
31bcee1b066a63f64c6901bb1e1b69cb | 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": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [21, 28], "expectation_value": -2.9963973272214712, "params": null, "bitstrings": ["101010", "100011"], "total_optimization_steps": 25, "probabilities": [0.06635225969610153, 0.9303258560517219], "optimization_time": 16.649547338485718} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["100011", "101010", "011100"], "largest_eigenvalue": 6.0} | 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]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZZIII",
"IZIZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
0
] | 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 |
1946868623993998798 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 7], [2, 3, 4, 5, 6, 8, 9, 10, 11], [1, 9], [1, 10, 5, 6], [0, 3, 11, 7], [4, 7], [0, 10, 4], [8, 1, 2], [0, 2, 4], [8, 0, 11, 5], [1, 2, 4, 6, 11], [1, 3, 4, 5, 8, 10], [1, 3, 5, 7, 10]]} | {"states": [1513, 3560], "expectation_value": -2.797739321813085, "params": [[[1.5734000000000001, 0.4801], [2.3009, -0.5042], [-0.22890000000000002, 0.5355], [-1.3433000000000002, 2.2485], [0.17420000000000002, 0.9108], [0.7916000000000001, 0.7032], [-0.9400000000000001, 1.1014000000000002], [1.5729, 1.5729], [1.5736,... | 0.5 * (Z(8) @ Z(7)) + 0.18055555555555555 * (Z(2) @ Z(8)) + 0.13333333333333333 * (Z(3) @ Z(7)) + 0.04722222222222222 * (Z(3) @ Z(8)) + 0.013888888888888888 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.04722222222222222 * (Z(4) @ Z(8)) + 0.23055555555555557 * (Z(4) @ Z(2)) + 0.04722222222222222 * (Z(4) @ Z(3)) + 0.05 * (Z... | 15 | 12 | 1 | {"smallest_eigenvalues": [-3.8444444444444437], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.7611111111111106, "smallest_bitstrings": ["001000010111"], "largest_eigenvalue": 11.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5707963133795293) q[0];
ry(3.14159253501053) q[1];
ry(-1.6175888347868626e-08) q[2];
ry(1.8708927037996486e-07) q[3];
ry(-2.7675170719137215e-07) q[4];
ry(0.8625973095456573) q[5];
ry(-1.570796496752373) q[6];
ry(1.5707963530045865) q[7];
ry(1.570796492556395) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZZIIIIIII",
"IIIZIIIIIZII",
"IIIIZIIIZIII",
"IIIZIIIIZIII",
"IIIIIIIIZZII",
"IIIIZIIZIIII",
"IIIZIIIZIIII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIZIZIIIII",
"IIIZIIZIIIII",
"IIIIIIZIIZII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIZIZIIIIII",
"IIIIIZIIIZII",
"IIIIIZIIZIII",
"IIIIIZIZI... | [
0.5,
0.18055555555555555,
0.13333333333333333,
0.04722222222222222,
0.013888888888888888,
0.5,
0.04722222222222222,
0.23055555555555557,
0.04722222222222222,
0.05,
0.13055555555555554,
0.013888888888888888,
0.09722222222222222,
0.04722222222222222,
0.013888888888888888,
0.0638888888888... | 0.92052 | [
1.5707963133795293,
3.14159253501053,
-1.6175888347868626e-8,
1.8708927037996486e-7,
-2.7675170719137215e-7,
0.8625973095456573,
-1.570796496752373,
1.5707963530045865,
1.570796492556395,
1.5707963922140649,
1.570796326487959,
0.5362058035744356,
-0.5362057699695149,
-6.46085364736648e-8,
... | {
"n_parameters": 21,
"n_qubits": 12,
"optimal_eigenvalue": -3.8444444444444437,
"target_ratio": 0.97,
"target_value": -3.72911111111111
} | 352 |
d576b64149ed4af7fd9893f4ff01f3b9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, ... | {"states": [0, 1], "expectation_value": -6.374333556574757, "params": [-0.002, 0.2641, 0.1066, -0.08950000000000001, 0.0049, 0.12810000000000002, 0.0032, 0.3035, 0.0035, 0.29860000000000003, 0.0022, 0.24450000000000002, 0.0033, 0.3115, 0.4, 0.0032, -0.004200000000000001, 0.26480000000000004, 0.12000000000000001, -0.115... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -0.25 * Z(4) + 1.5 * Z(7) + -1.0 * Z(5) + ... | 4 | 8 | 4 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["11111110", "10111110"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.06203454328157315) q[0];
rz(1.7887330621738506) q[0];
rx(0.22753164172954793) q[1];
rz(1.5181402961268304) q[1];
rx(-0.16557256063745113) q[2];
rz(1.758778103001907) q[2];
rx(0.0833675557820221) q[3];
rz(1.780349234902019) q[3];
rx(-0.11709564333793254) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIIIZ",
"IIZIZIII",
"IIZIIIZI",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII"
] | [
-0.25,
-0.75,
-0.25,
-0.75,
1.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
0,
-0.25,
0.25,
-0.25,
1.5,
-1,
0.5,
-0.75
] | 0.971621 | [
0.06203454328157315,
0.21793673537895467,
0.22753164172954798,
-0.05265603066806612,
-0.16557256063745113,
0.18798177620701023,
0.0833675557820221,
0.20955290810712235,
-0.11709564333793253,
0.3585331632266594,
-0.14002182277844039,
0.5406853858436055,
-0.026565483873495943,
0.331897582781... | {
"n_parameters": 86,
"n_qubits": 8,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 8 |
-7893666966548111988 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 6, 7], [2, 5], [2, 3], [4, 7]]} | {"states": [222, 234], "expectation_value": -0.7033351898738439, "params": [[0.4555], [-0.4179]], "bitstrings": ["00100001", "00010101"], "total_optimization_steps": 50, "probabilities": [0.012893333710281962, 0.012893333710281962], "optimization_time": 1.436913251876831} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.125 * Z(1) + 0.125 * Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["01011100", "00101010", "00011110", "00100001", "01101000", "10011100", "00010101", "10101000"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.22828075406253406) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(1.171863733516274) q[2];
cx q[5], q[2];
cx q[2], q[3];
rz(1.171863733516274) q[3];
cx q[2], q[3];
rz(-0.08865966514459567) q[2];
rx(-0.796351954... | 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(x0) q[6];
cx q[1], q[6];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IZIIIIZI",
"IZIIIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIIZII",
"IIIIZZII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0,
0,
0,
0
] | 0.700326 | [
0.22828075406253406,
1.171863733516274,
0.49651398122273976,
-0.08865966514459574,
-0.7963519540657924
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -1.75,
"target_ratio": 0.97,
"target_value": -1.6975
} | 132 |
9e8a866d2c0011b6946d4c64e758f31c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [21, 28], "expectation_value": -3.999900324820463, "params": null, "bitstrings": ["101010", "100011"], "total_optimization_steps": 26, "probabilities": [1.7187519564476356e-05, 0.999950071649245], "optimization_time": 21.24527072906494} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0097347073373075) q[0];
rz(-0.14101462084387117) q[0];
rx(-0.38750982357956676) q[1];
rz(-0.3057211553890907) q[1];
cx q[1], q[0];
rz(0.13275230381341913) q[0];
cx q[1], q[0];
rx(1.3782189303544248) q[0];
rz(-0.29267031617775396) q[0];
rz(-0.09789635874452761) q[1]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-1,
-1,
0
] | 0.971229 | [
1.0097347073373075,
-0.008262317030451896,
-0.38750982357956676,
-0.3057211553890907,
1.2302795857067115,
-0.013592108438004277,
1.1428987618315947,
0.21610326377545203,
-0.0945257361764085,
0.05751696828617267,
1.1584777199858318,
-0.024575436526478617,
1.269911032440262,
0.08978829929159... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 20 |
7415385023774886027 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 3, 4], [11, 6, 7], [9, 2, 5], [8, 10], [3, 5], [0, 2, 6], [0, 3], [0, 5], [1, 10], [2, 4, 5], [11, 3, 4], [1, 11, 4], [9, 7], [0, 11], [2, 7], [8, 3, 7], [2, 10], [8, 1, 6], [0, 10, 4], [1, 3, 6], [8, 2, 5], [1, 11, 6], [10, 7], [2, 3], [9, 10, 6], [8... | {"states": [3820, 3756], "expectation_value": -5.926821714437796, "params": [[1.8916000000000002, 0.0026000000000000003, 1.5877000000000001, 0.0027, 1.5670000000000002, -0.0025, 1.5807, -0.0025, 0.5575, 0.4081, -0.0021000000000000003, 0.8658], [1.125, 2.4956, 1.5483, -0.010400000000000001, 1.5804, 1.4816, 1.56550000000... | 0.16666666666666666 * (Z(9) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.16666666666666666 * (Z(11) @ Z(3)) + 0.5 * (Z(11) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(9)) + 0.3333333333333333 * (Z(6) @ Z(11)) + 0.16666666666666666 * (Z(7) @ Z... | 10 | 12 | 1 | {"smallest_eigenvalues": [-6.833333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.500000000000002, "smallest_bitstrings": ["000101010011"], "largest_eigenvalue": 20.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(2.424591563498109) q[0];
ry(0.007022559879502378) q[1];
ry(1.4643223570333086) q[2];
ry(0.047291850229210876) q[3];
ry(1.3613645743741218) q[4];
ry(-0.04670057017563859) q[5];
ry(1.6813255399105431) q[6];
ry(-0.04670057017563859) q[7];
ry(0.5166313262698109) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIZIII",
"IIIIIIIZZIII",
"IIZIIIIZIIII",
"ZIIIIIIIZIII",
"ZIIIIIIZIIII",
"IIIIIZIIZIII",
"IIZIIZIIIIII",
"ZIIIIZIIIIII",
"IIIIZIIIZIII",
"IIZIZIIIIIII",
"ZIIIZIIIIIII",
"IIIIZZIIIIII",
"IIIIIIIIZZII",
"IIZIIIIIIZII",
"IIIIIIIZIZII",
"IIIIIZIIIZII",
"IIIIZIIIIZII",
"IIIIIIZIZ... | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
... | 0.971667 | [
2.424591563498109,
0.007022559879502378,
1.4643223570333086,
0.047291850229210876,
1.3613645743741218,
-0.04670057017563859,
1.6813255399105431,
0.5166313262698109,
0.21553614437809,
0.02616851296107938,
0.5238408739875245,
0.7596413061185635,
3.1081812589570035,
1.7042096161465332,
0.16... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -6.833333333333332,
"target_ratio": 0.97,
"target_value": -6.628333333333332
} | 13 |
-1706464576773782584 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 5], [0, 5], [3, 5], [1, 2], [0, 2], [0, 1], [2, 4], [1, 3], [3, 4]]} | {"states": [28, 13], "expectation_value": -2.280683493605302, "params": null, "bitstrings": ["100011", "110010"], "total_optimization_steps": 40, "probabilities": [0.05582370138380961, 0.7846136474678669], "optimization_time": 39.43079853057861} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "001101", "101100", "110010"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.41278604749500547) q[0];
h q[1];
ry(-0.24170380449707596) q[1];
h q[2];
ry(0.7326924387187849) q[2];
h q[3];
h q[4];
ry(-0.24170380449707596) q[4];
cx q[3], q[4];
ry(0.24170380449707596) q[4];
cx q[3], q[4];
ry(-0.5543612884001051) q[4];
ry(1.4362161185912... | 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[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 ... | [
"ZIIIZI",
"ZIIIIZ",
"IIIIZZ",
"ZIZIII",
"IIZIZI",
"IIIZZI",
"IIIZIZ",
"IZZIII",
"IZIZII",
"ZIIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.978964 | [
-0.4834076089941519,
1.4362161185912,
1.4653848774375697,
-1.1087225768002102,
-1.052918213170607,
0.12115604557122409,
-0.8255720949900109,
0.8373544502781719,
-0.6265289457766232,
0.2612042846734979,
-0.585937880611082,
0.060511574974787166,
-0.5290917783172623,
0.5190291153468767,
-0.... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 11 |
674b5d368ba24c9907fd56adcb1ea7ca | 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": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"s... | {"states": [0, 8191], "expectation_value": -26.667909361377255, "params": [[[0.0028, 1.6014000000000002], [0.0016, 0.0029000000000000002], [0.0024000000000000002, 0.002], [-0.0036000000000000003, 0.0028], [0.0015, 0.0025], [0.0036000000000000003, 0.0021000000000000003], [0.0032, -0.0031000000000000003], [0.002, 0.00260... | -2.0 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + -2.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(1)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + -2.5 * (Z(8) @ Z(9)) + -2.5 * (Z(10) @ Z(9)) + -2.5 * (Z(10) @ Z(8)) + -2.5 * (Z(11) @ Z(9)) + -2.5 * (Z(11) @ Z(8)) + 1.5 * (Z(11) @ Z(10))... | 15 | 13 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.0, "smallest_bitstrings": ["0000000000000"], "largest_eigenvalue": 32.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.02000569132029699) q[0];
ry(-0.0073899059924798505) q[1];
ry(-0.4608749953577158) q[2];
ry(0.1313808193641523) q[3];
ry(0.31263661853418373) q[4];
ry(0.06694844697346716) q[5];
ry(-0.08214217939204514) q[6];
ry(0.04359673194608912) q[7];
ry(-0.07491933820494659) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIIIZ",
"IIIIIZIIIIIZI",
"IIIIIZZIIIIII",
"IIIIIIZIIIIIZ",
"IIIIIIZIIIIZI",
"IIIIIZIZIIIII",
"IIIIIIIZIIIIZ",
"IIIIIIZZIIIII",
"IIIZZIIIIIIII",
"IIZZIIIIIIIII",
"IIZIZIIIIIIII",
"IZIZIIIIIIIII",
"IZIIZIIIIIIII",
"IZZIIIIIIIIII",
"ZIIZIIIIIIIII",
"ZIIIZIIIIIIII",
"ZIZIIIIIIII... | [
-2,
0.5,
-2.5,
0.5,
-1.5,
-2,
0.5,
0.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
1.5,
1.5,
-2.5,
-2.5,
-2.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1
] | 0.970817 | [
-0.02000569132029699,
-0.0073899059924798505,
-0.4608749953577158,
0.1313808193641523,
0.31263661853418373,
0.06694844697346716,
-0.08214217939204514,
0.04359673194608912,
-0.07491933820494659,
-0.11495641636159751,
-0.025402993385224313,
-0.07268877450236515,
2.9294977668629976,
-0.118846... | {
"n_parameters": 17,
"n_qubits": 13,
"optimal_eigenvalue": -32,
"target_ratio": 0.97,
"target_value": -31.04
} | 31 |
497cac3b94057e7a59788f1446d196ee | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [86, 118], "expectation_value": -73.78653249498555, "params": [0.0849, 0.07540000000000001, 0.3909, 0.3945, 0.23820000000000002, 0.2424, 0.4516, 0.4233, 0.050300000000000004, 0.050800000000000005, 0.4055, 0.39990000000000003, 0.4179, 0.40650000000000003, 0.0637, 0.06430000000000001, 0.0804, 0.0834, 0.3939000... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 19.0 * Z(1) + 10.0 * Z(0) + 5.5 * Z(2) + 16.5 * Z(3) + 7... | 13 | 8 | 4 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 169.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.06186121661125177) q[0];
rz(pi/2) q[0];
ry(0.5884904045529574) q[1];
ry(0.34540306493734974) q[2];
ry(0.4586552458186685) q[3];
ry(-0.06191008546032246) q[4];
ry(0.43107935678141474) q[5];
ry(0.44500032782910837) q[6];
ry(-0.05954257538139389) q[7];
cx q[7], q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
19,
10,
5.5,
16.5,
7,
18.5,
7,
7.5
] | 0.975596 | [
0.06186121661125177,
0.5884904045529574,
0.34540306493734974,
0.4586552458186685,
-0.06191008546032246,
0.43107935678141474,
0.44500032782910837,
-0.05954257538139389,
-0.1549661797340522,
-0.460314331661411,
0.037358530352911284,
0.8135064687826602,
-0.43345942966696327,
0.266295701295883... | {
"n_parameters": 95,
"n_qubits": 8,
"optimal_eigenvalue": -81,
"target_ratio": 0.97,
"target_value": -78.57
} | 14 |
ac8f6040a5bb03cdcb904dd06b95ed2a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 2, "source": 4, ... | {"states": [7, 31], "expectation_value": -7.18301701025707, "params": null, "bitstrings": ["11111000", "11100000"], "total_optimization_steps": 51, "probabilities": [0.1459610964136302, 0.6774742925628697], "optimization_time": 61.19024443626404} | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7) + 3.5 * Z(4) + -1.2... | 1 | 8 | 2 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -7.5, "smallest_bitstrings": ["11110110", "11110100", "11110000", "10010000", "11100000", "11100100", "11100110", "10000000", "10100000", "11000100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7386445555225505) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.699357435260052) q[4];
h q[5];
ry(0.7857912315345207) q[5];
h q[6];
ry(0.7952068497622999) q[6];
cx q[4], q[6];
ry(-0.7952068497622999) q[6];
cx q[4], q[6];
cx q[6], q[5];
ry(-0.7857912315345207)... | 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(1.5577) 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[... | [
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIZIZII",
"ZIIZIIII",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"IIZIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.75,
1,
-0.75,
-1,
-0.5,
-1.25,
-0.25,
-0.75,
-1.25,
-1.25,
-0.75,
-1.25,
-0.25,
0,
3.5,
-1.25,
-1.25,
-0.25,
0.75
] | 0.970151 | [
1.699357435260052,
1.5904136995245999,
1.6413495966824776,
-1.477289111045101,
1.5715824630690414,
-0.34092506407667983,
-1.075228145254072,
0.3564144742520738,
0.28922954353875785,
0.4885601712472523,
0.1255007105163221,
0.21953165800446972,
-0.743637569163143,
0.48812527030861697,
-1.0... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 15 |
93141c357d164fcf2a36ba666f8f01e3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 3], "expectation_value": -2.499905744134611, "params": null, "bitstrings": ["1111", "1100"], "total_optimization_steps": 12, "probabilities": [1.7262802419417304e-05, 0.9999394822330102], "optimization_time": 4.074736833572388} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["1100"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
a6b81bd94db1dc24b1e0e42e6a7091b4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 16, "source": 1, "target": 4}, {"weight": 9, "source": 2, "tar... | {"states": [474, 218], "expectation_value": -59.67674046264982, "params": [1.5534000000000001, 0.0031000000000000003, 2.8067, 0.0059, 2.8025, 0.0053, 1.3795000000000002, 0.0039000000000000003, 2.8027, 0.0047, 2.8013000000000003, 0.007200000000000001, 1.4786000000000001, 0.0038, 2.8037, 0.0088, 0.7781, 0.000900000000000... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) + 5.0 * Z(0) + 12.5 * ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 149.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.744140712049382) q[0];
rz(-0.0472961356517434) q[0];
rx(3.110384720259039) q[1];
rz(0.22796018602275503) q[1];
rx(3.1447279415560803) q[2];
rz(-0.5280722703690759) q[2];
rx(0.2303163344266575) q[3];
rz(-0.9377822736725943) q[3];
rx(3.117670039049346) q[4];
rz(0.530... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
13,
5,
12.5,
14.5,
4.5,
14,
9.5,
15.5,
2
] | 0.975861 | [
0.7441407120493821,
-0.10353319362533349,
3.110384720259039,
0.22796018602275503,
3.1447279415560803,
-0.5280722703690759,
0.2303163344266575,
-0.9377822736725943,
3.117670039049346,
0.530377326005906,
2.973122811681948,
-0.3866238784758647,
0.057713943702765926,
0.04753547702156585,
3.1... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 21 |
da1b1c85f8e653b867f6f4bdba638afa | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [4073, 3817], "expectation_value": -1.3405516912419495, "params": [1.9011, 0.0085, 1.9029, 0.007500000000000001, 1.9000000000000001, 0.007500000000000001, 1.5342, 0.0054, 1.8971, 0.0033, 1.9083, 0.0094, 1.8987, 0.0004, -0.0025, 0.0054, 1.9033, 0.0095, 1.4895, 0.0095, 1.078, 0.0054, 1.9104, 0.0046, 0.0011, 0.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 18 | 12 | 1 | {"smallest_eigenvalues": [-4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -3.125, "smallest_bitstrings": ["010000010110", "010000110001", "000100111000", "001000010110", "100000010110", "000100010110", "010100010010",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-3.03208384136978) q[0];
rz(1.1529037528344812) q[0];
rx(3.0700951243921843) q[1];
rz(-1.3038601993648782) q[1];
rx(2.7848649180839136) q[2];
rz(-1.3038601993648782) q[2];
rx(-0.3029962700085394) q[3];
rz(-0.6966306365913719) q[3];
rx(2.903387714224511) q[4];
rz(0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIZIIZI... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0... | 0.97036 | [
3.2511014658098065,
0.9365748093907186,
3.0700951243921843,
-1.3038601993648782,
2.7848649180839136,
-0.3029962700085394,
-0.6966306365913719,
2.903387714224511,
0.7624352408508751,
2.8830223660071757,
-2.241045445073787,
2.8420106823505695,
0.9076514518624942,
-0.007602550276479374,
3.1... | {
"n_parameters": 31,
"n_qubits": 12,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 47 |
bb85d0dab1e8b005266604f2de3ca5d7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 9}, {"source": 1, "target": 5}, {"source": 1, "target":... | {"states": [772, 900], "expectation_value": -9.593018566166545, "params": [1.5679, 1.5679, 1.5707, 1.5669000000000002, 0.8794000000000001, 0.8788, -0.0028, -0.0028, -0.0028, -0.0029000000000000002, 0.0022, 0.0022, 0.0018000000000000002, 0.0018000000000000002, 1.5714000000000001, 1.5743, -0.003, -0.003, 0.002, 0.002, 1.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-10.0, -10.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.0, "smallest_bitstrings": ["0111010101", "0001111011"], "largest_eigenvalue": 28.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5938659334308005) q[0];
rz(0.6010630890214769) q[0];
ry(1.6439401589251739) q[1];
ry(1.0250360461059207) q[2];
ry(0.03971936167263225) q[3];
ry(0.03971936167263225) q[4];
ry(0.02973656651505303) q[5];
ry(0.008299519458080884) q[6];
ry(1.7432935826736966) q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIZIIIIZ",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"IIIIZIIIZI",
"ZIIIIIIIZI",
"IIIZIIZIII",
"IIIZZIIIII",
"IIIZIIIIZI",
"IZIIZIIIII",
"IZIIIIIIZI",
"ZIIIIIIZII",
"IIIZIIIZII",
"IZIIIIIZII",
"IIIIIZZIII",
"ZIIIIZIIII",
"IIIIIZIZII",
"IIZIIIZIII",
"IIZIZIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-2.5,
-2.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5
] | 0.972777 | [
1.5938659334308005,
1.6439401589251739,
1.0250360461059207,
0.03971936167263225,
0.02973656651505303,
0.008299519458080884,
1.7432935826736966,
0.004620171903271124,
-0.02745328755263704,
1.2021261780429537,
-1.4357393365139357,
0.04527103592277558,
1.3258583436100762,
1.2176210667064307,
... | {
"n_parameters": 31,
"n_qubits": 10,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 2 |
8a526a591f7bdb3ebf152c476bf727ac | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1366, 1448], "expectation_value": -69.41614240271434, "params": [[[1.5725, 1.5728], [1.5765, 0.9306000000000001], [1.5724, 1.5741], [1.5731000000000002, -0.1005], [1.5728, 1.1081], [1.5726, 1.5728], [1.5725, 0.163], [1.5726, 1.5737], [1.5735000000000001, 1.5684], [1.5726, 0.5011], [1.5727, 1.573200000000000... | 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(3) @ Z(0)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(10) @ Z(0)) + 7.0 * (Z(10) @ Z(3)) + 21.0 * Z(0) + 15.5 * Z(2) + 5.0 ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-123.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["01001010111"], "largest_eigenvalue": 195.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5941304611817115) q[0];
ry(1.723721276212752) q[1];
ry(1.5864333440262084) q[2];
ry(1.4532206763669608) q[3];
ry(1.5054106731152626) q[4];
ry(1.565088852107215) q[5];
ry(1.5941304611817115) q[6];
ry(1.565088852107215) q[7];
ry(1.5693429945319466) q[8];
ry(1.565088... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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]... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIZIZIIIII",
"IIIIZIIIZII",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"ZIIIIIIIIIZ",
"ZIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
21,
15.5,
5,
13.5,
3,
15,
14,
7.5,
-4,
3.5,
-10.5
] | 0.970115 | [
1.5941304611817115,
1.723721276212752,
1.5864333440262084,
1.4532206763669608,
1.5054106731152626,
1.565088852107215,
1.5693429945319466,
1.5171756478340428,
1.608033077404396,
1.5781967821565537,
-1.5006936606079357,
1.6944649174832198,
1.2942904403793305,
1.3919373738760055,
1.69431478... | {
"n_parameters": 17,
"n_qubits": 11,
"optimal_eigenvalue": -123.5,
"target_ratio": 0.97,
"target_value": -119.795
} | 36 |
6af884d627ee37a45c35f4c485ec07d5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [21, 61], "expectation_value": -3.9949433671033607, "params": null, "bitstrings": ["1101010", "1000010"], "total_optimization_steps": 38, "probabilities": [0.24539137776393896, 0.7475135603386809], "optimization_time": 29.63245391845703} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(5)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + 0.25 * Z(3) + -0.25 * Z(1) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101110", "1101010", "1000010", "1111110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2129396642339767) q[0];
cx q[5], q[0];
cx q[5], q[3];
rz(-0.2129396642339767) q[3];
cx q[5], q[3];
cx q[3], q[1];
rz(-1.5032141761943887) q[1];
cx q[3], q[1];
rz(-0.2129396642339767) q[1];
rx(-0.873748... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5486) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIZIII",
"IIIZIZI",
"IIZZIII",
"IIZIZII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII"
] | [
-0.25,
0.5,
-0.25,
-1.25,
-0.25,
-0.5,
-0.5,
-0.25,
0.5,
0.25,
-0.25,
-0.25,
0.5
] | 0.656065 | [
-0.2129396642339767,
0.823446126675711,
-1.5032141761943887,
-1.1053657754057873,
-0.24166154592351555,
-0.8737487988534467
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 173 |
348c13052b9cd507aa792296e385f0a4 | 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": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [0, 1], "expectation_value": -7.2396749412943056, "params": [0.0018000000000000002, 0.39180000000000004, 0.004, 0.38220000000000004, 0.0037, 0.3936, 0.0022, 0.4499, 0.0034000000000000002, -0.4315, 0.0053, -0.3537, 0.6064, 0.0078000000000000005, 0.0068000000000000005, 0.4107, 0.001, 0.44170000000000004, 0.000... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 3 | 7 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.06478935654218318) q[0];
rz(0.010473094700834906) q[0];
rx(-0.21029945099044114) q[1];
rz(0.36193904458961335) q[1];
rx(-0.12407138095515016) q[2];
rz(0.046088532858524545) q[2];
rx(0.1874119633339978) q[3];
rz(0.35704809683533245) q[3];
rx(-0.0838195345979585) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-1,
-1,
-0.75,
-0.5,
2,
-1,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
0.75,
1.5,
-1,
-0.5,
-0.25
] | 0.979758 | [
0.06478935654218318,
0.20218073164039307,
-0.21029945099044114,
0.4704675727431508,
-0.12407138095515018,
0.33009272048242233,
0.18741196333399776,
0.12867352073879185,
-0.08381953459795849,
-0.28813328048276804,
0.29408685795202144,
-0.42763869643912095,
0.9971024611824714,
0.068911216138... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 8 |
7705280671809599738 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 2, 3, 6], [8, 2, 4], [0, 6, 8, 9, 10], [0, 3, 7], [0, 1, 2, 3, 8], [0, 3, 4, 5, 9], [9, 2, 3, 5], [3, 5, 6, 8, 9], [1, 5, 6, 7]]} | {"states": [1521, 2033], "expectation_value": -2.0782203838434086, "params": [1.9094, -0.0012000000000000001, 0.197, 0.0053, 1.7431, -0.021, 1.9976, 0.0014, 1.9255, -0.0051, 0.4249, 0.0034000000000000002, 1.9148, -0.0023, 0.5013000000000001, 0.0088, 1.9515, -0.0039000000000000003, 1.6604, 0.0077, 1.9365, -0.00210000000... | 0.16666666666666666 * (Z(9) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(2)) + 0.26666666666666666 * (Z(3) @ Z(9)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.18333333333333335 * (Z(6) @ Z(9)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.21666666666666667 * (Z(8) @ Z(2)) + 0.1 * (Z(8) @ Z(9)) + 0.1 * (Z(8) @ Z(3)) + 0.1 * (Z(8... | 6 | 11 | 1 | {"smallest_eigenvalues": [-2.2166666666666677], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2166666666666672, "smallest_bitstrings": ["00000001110"], "largest_eigenvalue": 8.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(2.524689825602704) q[0];
rz(1.4731992594979788) q[0];
rx(2.206742527979323) q[1];
rz(0.840218924882381) q[1];
rx(2.5878283974895893) q[2];
rz(1.5513975105990339) q[2];
rx(2.0620864571704387) q[3];
rz(1.4804665658876806) q[3];
rx(1.487309231899895) q[4];
rz(1.4208888... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IZIIIIIIZII",
"IIIIIIIZZII",
"IZIIIIIZIII",
"IIIIZIIIZII",
"IZIIZIIIIII",
"IIIIZIIZIII",
"IIZIIIIIZII",
"IZZIIIIIIII",
"IIZIIIIZIII",
"IIZIZIIIIII",
"IIIIIIZIZII",
"IZIIIIZIIII",
"IIIIIIZZIII",
"IIZIIIZIIII",
"IIIIIIIIZIZ",
"IZIIIIIIIIZ",
"IIIIIIIZIIZ",
"IIIIZIIIIIZ",
"IIZIIIIII... | [
0.16666666666666666,
0.21666666666666667,
0.26666666666666666,
0.08333333333333333,
0.18333333333333335,
0.13333333333333333,
0.21666666666666667,
0.1,
0.1,
0.1,
0.16666666666666666,
0.05,
0.05,
0.16666666666666666,
0.05,
0.1,
0.26666666666666666,
0.05,
0.1,
0.05,
0.05,
0.0... | 0.970469 | [
2.524689825602704,
-0.09759706729691797,
2.206742527979323,
-0.7305774019125154,
2.5878283974895893,
-0.01939881619586251,
2.0620864571704387,
-0.09032976090721603,
1.4873092318998953,
-0.14990751694679794,
2.365691173372582,
-0.24739994116759592,
1.8820494428383905,
-0.16043515290144097,
... | {
"n_parameters": 55,
"n_qubits": 11,
"optimal_eigenvalue": -2.2166666666666677,
"target_ratio": 0.97,
"target_value": -2.1501666666666677
} | 404 |
5ed4b8ee16f7e72bb67d4fb9545eb28a | 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": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [4021, 3765], "expectation_value": -2.153511051469924, "params": [[[1.9089, 0.0051], [1.9104, 0.0098], [1.9034, 0.0015], [1.4953, 0.008], [1.8975000000000002, 0.0095], [-0.0027, 0.0031000000000000003], [1.9068, 0.0026000000000000003], [1.9023, 0.0064], [-0.0025, 0.0032], [1.8955000000000002, 0.0038], [1.0834... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(3) @ Z(1)) + -0.125 * (Z(0) @ Z(3) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3) @ Z(1) @ Z(2)) + 0.25 * (Z(... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["000101001010"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.1338107774861212) q[0];
rz(0.39690572867569274) q[0];
rx(3.0772405808992582) q[1];
rz(0.11150791406859023) q[1];
rx(3.2160269112858204) q[2];
rz(0.10450470183181701) q[2];
rx(0.035210752084844144) q[3];
rz(0.5521266912129031) q[3];
rx(3.1589155728446747) 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",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIIZZIIII",
"IIIIIIZZIIIZ",
"IIIIIZIIIIZI",
"IIIIZIIIIIZI",
"IIIZIIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.... | 0.981433 | [
3.1338107774861212,
0.39690572867569274,
3.0772405808992582,
0.11150791406859023,
3.2160269112858204,
0.10450470183181701,
0.035210752084844144,
0.5521266912129031,
3.1589155728446747,
-0.7808247784889266,
0.16862306952184902,
-0.46708530680348936,
3.1327291297770765,
-0.040212016942459794... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 21 |
6183542129053991521 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 0, 4, 6], [8, 1, 3, 4], [0, 1], [1, 6], [8, 5, 7], [0, 3, 4, 7], [2, 3, 5, 6, 7], [1, 2, 4, 7]]} | {"states": [327, 359], "expectation_value": -0.007668578047025271, "params": [[-0.030000000000000002], [0.0223]], "bitstrings": ["010111000", "010011000"], "total_optimization_steps": 10, "probabilities": [0.0019713100670434277, 0.001972903049939921], "optimization_time": 4.748828649520874} | 0.08333333333333333 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.366666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2, "smallest_bitstrings": ["010011000"], "largest_eigenvalue": 6.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0], q[8];
rz(0.05276729205864438) q[8];
cx q[0], q[8];
cx q[0], q[4];
rz(-0.08782458735632077) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(0.05276729205864438) q[6];
cx q[0], q[6];
cx q[0], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] ... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIZ",
"IIIIZIIIZ",
"ZIIIZIIII",
"IIZIIIIIZ",
"ZIZIIIIII",
"IIZIZIIII",
"IIIIIIIZZ",
"ZIIIIIIZI",
"IIIIZIIZI",
"IIZIIIIZI",
"IIIIIZIIZ",
"ZIIIIZIII",
"IIIIZZIII",
"IIZIIZIII",
"IIIIIZIZI",
"ZIIZIIIII",
"IIZZIIIII",
"IIIZIZIII",
"IZIIIIIIZ",
"ZZIIIIIII",
"IZIIZIIII",
"... | [
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.5,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.05,
0.08333333333333333,
0.1666666666666666... | 0.670773 | [
0.05276729205864438,
-0.08782458735632077,
-1.0210312461547664,
-0.02122583656891997,
-0.11713769141427999,
-1.2056593815008416,
0.15858739064792032,
-1.5322089620811465,
-0.612246990414889,
-1.4736538255672342,
0.7314295992447162,
-0.8609390782037788,
0.9283338421032177
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -2.366666666666667,
"target_ratio": 0.97,
"target_value": -2.295666666666667
} | 297 |
0557c24915e735cbcccb99a9efbfecf6 | 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": 7}, {"source": 1, "target": 2}, {"sour... | {"states": [43, 47], "expectation_value": -6.660317690054752, "params": [0.0035, 0.0007, -0.0001, 0.0029000000000000002, -0.0047, 0.0021000000000000003, 0.39180000000000004, 0.3996, 0.007200000000000001, -0.0004, 0.4038, 0.4026, 0.32020000000000004, 0.32, 0.40540000000000004, 0.40340000000000004, 0.4078, 0.4078, 0.0077... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + -1.5 * Z(1) ... | 13 | 9 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111010000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.04984188669612269) q[0];
rz(0.026800226332650223) q[0];
ry(0.06022956979124163) q[1];
ry(-0.10693497430741478) q[2];
ry(0.5355720451299938) q[3];
ry(0.0483788709100353) q[4];
ry(0.33670583349348404) q[5];
ry(0.444044945457572) q[6];
ry(0.6547194443634611) q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IIIIIIZZI",
"IIZIIIZII",
"IZIIIIZII",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZZIIII",
"IIZIZIIII",
"IIIIZZIII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-0.5,
-1.5,
-0.5,
-1.5,
-1,
-1.5,
0
] | 0.974124 | [
0.04984188669612269,
0.06022956979124163,
-0.10693497430741478,
0.5355720451299938,
0.0483788709100353,
0.33670583349348404,
0.444044945457572,
0.6547194443634611,
0.6758388568955831,
0.053600452665300446,
-0.07736901944021757,
0.08058216353510658,
0.04306679437811052,
0.1427798902288141,
... | {
"n_parameters": 93,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 8 |
2588d6bc234a2ebe9da283ea0a74ab37 | 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": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.30477625421089116, "params": [[-0.046700000000000005, 0.0137, 0.0516, 0.029900000000000003], [0.0741, 0.0368, -0.030000000000000002, -0.0268]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005305599007053744, 0.005422755935651... | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.14839836116753768) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(0.5527585164935408) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(0.32881606869814567) q[3];
cx q[6], q[3];
cx q[1], q[3];
rz(0.552758516493540... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IZIIIIIZ",
"IZIIIIZI",
"IZIIZIII",
"IIIIZIZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIIZZI",
"ZIIIIZII",
"IIIZIZII",
"IZZIIIII",
"IIZIIIZI",
"ZIZIIIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII"
] | [
-0.5,
-0.75,
-0.25,
-0.75,
0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
0,
-0.25,
0.5,
-0.5,
-0.75,
0.75,
-0.5,
0.75
] | 0.86115 | [
0.14839836116753768,
0.5527585164935408,
0.32881606869814567,
-0.765912548820112,
0.2311734859611556,
0.05741605135624837,
-1.2951574166671995,
0.5782381291255552,
-0.3685606030596106,
-0.7438219039249117,
-0.9069556769159839,
0.951041222959043,
-0.5805358994066825,
1.6189642146834144,
-... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 500 |
5045523392550137369 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 6], [1, 3, 7], [9, 2, 4, 7], [2, 3, 7], [1, 4], [0, 1], [9, 6, 7], [8, 5, 7], [8, 3], [8, 10, 2], [0, 8, 7], [5, 6], [8, 10, 7], [8, 4], [1, 10, 9], [0, 2, 3, 5], [0, 5, 7], [10, 3, 5], [1, 2, 6], [8, 1, 10], [1, 2, 5], [9, 10, 7], [9, 3, 5, 7], [0, 9, 1... | {"states": [1943, 919], "expectation_value": -3.888334256157841, "params": [0.7827000000000001, -0.20120000000000002, 0.7886000000000001, 0.0005, 1.1898, 0.032, 1.1986, 0.0011, 1.1941000000000002, -0.0438, 1.1937, 0.0034000000000000002, 1.1981000000000002, 0.1295, 1.1928, 0.0068000000000000005, 0.7939, -0.2136, 0.7929,... | 0.5 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(7)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.3333333333333333 * (Z(8) @ Z(2)) + 0.3333333333333333 * (Z(8) @ Z(1)) + 0.41666666666666663 * (Z(8) @ Z(4)) + 0.1666666666... | 5 | 11 | 1 | {"smallest_eigenvalues": [-6.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.166666666666666, "smallest_bitstrings": ["10001101000"], "largest_eigenvalue": 22.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.16760624281958297) q[0];
rz(-1.1054733328862216) q[0];
rx(1.6661248937846134) q[1];
rz(0.4313027085259433) q[1];
rx(1.5962471138142764) q[2];
rz(0.36552921250904946) q[2];
rx(1.647569743147924) q[3];
rz(0.12088402952009192) q[3];
rx(0.4048386569012586) 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": []} | [
"IIIZIIIIZII",
"IIIZIIIIIZI",
"IIIIIIIIZZI",
"IIIIIIZIZII",
"IIIIIIZIIZI",
"IIZZIIIIIII",
"IIZIIIIIZII",
"IIZIIIIIIZI",
"IIZIIIZIIII",
"ZIIZIIIIIII",
"ZIIIIIIIZII",
"ZIIIIIIIIZI",
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"IIIZIIIZIII",
"IIIIIIIZZII",
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IIZIIIIZI... | [
0.5,
0.16666666666666666,
0.3333333333333333,
0.25,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.41666666666666663,
0.16666666666666666,
0.41666666666666663,
0.16666666666666666,
0.16666666666666666,
0.49999999999999994,
0.16666666666666666,
0.166... | 0.972896 | [
0.16760624281958295,
-0.8432917319795628,
1.6661248937846134,
0.43579719371014825,
1.5962471138142766,
0.3778512872953308,
1.647569743147924,
0.09199901809962238,
0.40483865690125864,
-0.5759941641368203,
-0.07942769605883254,
0.5384740734654521,
1.6604626538145781,
0.354207124489858,
0.... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -6.333333333333332,
"target_ratio": 0.97,
"target_value": -6.143333333333332
} | 41 |
9616dca9ff75dff127d63d2e13bd0738 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -21.099709119259284, "params": [-0.0063, 0.1153, 0.0021000000000000003, 0.1512, 0.0033, 0.1542, -0.0005, 0.1691, 0.2003, -0.0025, 0.19840000000000002, 0.0021000000000000003, 0.0008, 0.1693, 0.004200000000000001, 0.16840000000000002, 0.0026000000000000003, 0.1592, -0.0016, 0.166... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(0)) + -1.75 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + -1.25 * (Z(10) @ Z(0)) + -0.75 * (Z(10) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(10)) + -0.5 * (Z(8) @ Z(4)) + -0.75 * (Z(9) @ Z(1)) + -0.75 * (Z(... | 7 | 11 | 4 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.5, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.10179604682207648) q[0];
rz(-0.33286017369351484) q[0];
rx(0.09974546577001486) q[1];
rz(0.0367171114976448) q[1];
cx q[1], q[0];
rz(0.06110190385099645) q[0];
cx q[1], q[0];
rz(-1.6927394153436948) q[0];
ry(0.09272780895560037) q[0];
rz(1.8652876480156433) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIIZIZIIII",
"ZIIIIIIIIIZ",
"ZIIIIIZIIII",
"IIIIIIIZIZI",
"IIIIIIZZIII",
"ZIIIIIIZIII",
"IIZIIIZIIII",
"IZIIIIIIIZI",
"IZIIIIZIIII",
"IZIIIZIIIII",
"IIIZIIZIIII",
"IIIZIZIIIII",
"IIIIIIIIZIZ",
"IIZIIIIIZ... | [
-0.25,
-1,
-0.75,
-1,
-1.75,
-1.25,
-1.25,
-0.75,
-1,
-0.5,
-1,
-0.5,
-0.75,
-0.75,
-0.5,
-1.5,
-1,
5.25,
-0.25,
1,
-0.25,
-1,
0.5,
-1.5,
-1,
-2.5,
-0.25,
-0.5,
0.5,
5
] | 0.971776 | [
0.10179604682207646,
-0.27175826984251833,
0.09974546577001486,
0.0367171114976448,
0.21535128012364624,
-0.14066703837187786,
0.12942622974727153,
0.1986097517200004,
0.13627254154622867,
0.30678293277371693,
0.03386290303597382,
0.04436384677272992,
-0.05483255819852717,
-0.0154883377707... | {
"n_parameters": 161,
"n_qubits": 11,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 7 |
e7f52f1e4ef4212454d9db0ad93f1bd0 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 3, "s... | {"states": [0, 255], "expectation_value": -6.337409096266078, "params": [[[0.0027, -0.5509000000000001], [0.0019, 0.0031000000000000003], [0.0023, 0.0022], [0.0026000000000000003, 0.0024000000000000002], [0.0023, 0.0024000000000000002], [0.0028, 0.0024000000000000002], [0.003, 0.0021000000000000003], [-0.0027, -0.17600... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(8)) + -0.75 * (Z(7) @ Z(4)) + -0.25 * Z(3) + -0.25 * Z(0) + 1.0 * Z(1) + 0.25 * Z(5) + -1.5 ... | 15 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["100000000", "101000100", "100000100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.03957831505921227) q[0];
ry(0.006130189286134036) q[1];
ry(-0.017929317053648544) q[2];
ry(0.12712730696602598) q[3];
ry(-0.017929317053648544) q[4];
ry(-0.06909810885548867) q[5];
ry(0.16499459908876507) q[6];
ry(0.1104908148870137) q[7];
ry(2.761911007049986) 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": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"IIZIIIZII",
"ZIIIIZIII",
"ZIIIIIIIZ",
"IIIZZIIII",
"IZZIIIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IZIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIZIIII",
"IZIIIIIII"
] | [
-0.25,
-0.5,
-1,
-0.75,
-0.5,
0.5,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
1,
0.25,
-1.5,
0,
-0.5,
0,
1.25
] | 0.973957 | [
-0.03957831505921227,
0.006130189286134036,
-0.017929317053648544,
0.12712730696602598,
-0.06909810885548867,
0.16499459908876507,
0.1104908148870137,
2.761911007049986,
-0.24906193861339584,
0.10025750594834357,
-0.040340474615634385,
-0.006986122981867142,
0.030676898583188086,
-0.633446... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 45 |
0383062743a6032431a10ba112efca08 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capaci... | {"states": [480, 8672], "expectation_value": -26.012645716655335, "params": [0.0038, 0.6203000000000001, 0.003, 0.7889, -0.4882, 0.008700000000000001, 0.0051, 0.6926, 0.004200000000000001, 0.6978000000000001, 0.0026000000000000003, 0.6282, -0.0031000000000000003, 0.6221, 0.7762, -0.032600000000000004, 0.786600000000000... | 0.5 * (Z(0) @ Z(13)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(0)) + 1.0 * (Z(1) @ Z(13)) + 0.75 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(14)) + -0.5 * (Z(3) @ Z(13)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(14)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(13)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(14)) + -1.0 * (Z(4) @ Z... | 18 | 16 | 4 | {"smallest_eigenvalues": [-26.24999999999991], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.249999999999734, "smallest_bitstrings": ["1101111000011111"], "largest_eigenvalue": 110.99999999999979} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(0.0807544572268105) q[0];
rz(0.22210424958802655) q[0];
rx(0.14837348741577772) q[1];
rz(0.7437791515521079) q[1];
rx(-0.5726519461602206) q[2];
rz(0.0668001890504087) q[2];
rx(-0.0416623057461309) q[3];
rz(0.5367025386426789) q[3];
rx(-0.0008736203876195175) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIIIIIIZ",
"IZZIIIIIIIIIIIII",
"IZIIIIIIIIIIIIIZ",
"IIZIIIIIIIIIIIZI",
"IIIIIIIIIIIIIIZZ",
"IZIIIIIIIIIIIIZI",
"IIZIIIIIIIIIZIII",
"IIIIIIIIIIIIZIIZ",
"IZIIIIIIIIIIZIII",
"IIIIIIIIIIIIZIZI",
"IIZIIIIIIIIZIIII",
"IIIIIIIIIIIZIIIZ",
"IZIIIIIIIIIZIIII",
"IIIIIIIIIIIZIIZI",
"IIIIIII... | [
0.5,
1,
0.5,
1,
0.75,
1,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-1,
1,
-1,
-0.5,
-1,
-1,
0.5,
0.5,
-2,
-1,
-2,
-2,
1,
1,
2,
-0.5,
-0.5,
0.5,
1,
-0.5,
-1,
-1,
1,
2,
2,
-1,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-1,
-0.5,
-0... | 0.97502 | [
0.08075445722681049,
0.6172770534661369,
0.14837348741577772,
0.7437791515521079,
-0.5726519461602206,
0.0668001890504087,
-0.0416623057461309,
0.5367025386426789,
-0.0008736203876195175,
0.5023698595778798,
-0.26926217750859277,
0.4261394456714155,
0.0524983319909367,
0.5768221422270251,
... | {
"n_parameters": 172,
"n_qubits": 16,
"optimal_eigenvalue": -26.24999999999991,
"target_ratio": 0.97,
"target_value": -25.462499999999913
} | 1 |
2a9ab16bb8bcea71e9f34a77597a5638 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [69, 75], "expectation_value": -0.37466584730482316, "params": [[-0.2336, -1.588, -1.5904, 0.0022, 0.7981, 0.3145, -0.0043, -0.0022], [0.0092, -0.2291, -0.0025, 0.0063, 1.2554, 1.5664, 0.0024000000000000002, -0.0033], [0.0045000000000000005, -0.054400000000000004, 1.5874000000000001, 0.0024000000000000002, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(1) @ Z(4) @ Z(6)) + -0.125 * (Z(1) @ Z(4) @ Z(5)) + -0.125 * (Z(... | 9 | 8 | 3 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.875, "smallest_bitstrings": ["10011100", "10010101", "10110100"], "largest_eigenvalue": 6.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.21069830025586003) q[0];
rz(-0.44314380018304966) q[0];
rx(0.6758685682189609) q[1];
rz(-0.07231239329845751) q[1];
rx(0.5304567662709817) q[2];
rz(0.0524343513804677) q[2];
rx(-0.2764618131261993) q[3];
rz(0.21560061027038913) q[3];
rx(0.6842987872754291) 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": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZIIZI",
"IZIIIIZI",
"IIZIIIZI",
"IZIZIIII",
"IIZZIIII",
"IZZIIIII",
"IZIZIIZI",
"IIZZIIZI",
"IZZIIIZI",
"IZZZIIII",
"IZZZIIZI",
"IIIZIZII",
"ZIIIIZII",
"ZIIZIIII",
"ZIIZIZII",
"IZIIZIII",
"ZIIIZIII",
"ZZIIIIII",
"ZZIIZII... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.75,
0.125,
0,
-0.75,
0.125,
0.125,
-0.625,
0
] | 0.970268 | [
-0.21069830025586003,
-0.2661478952017108,
0.6758685682189609,
-0.11332069058319576,
0.5304567662709817,
0.04323630987877809,
-0.27646181312619933,
0.1941591628277346,
0.684298787275429,
-0.08672849227055314,
0.5560224463447703,
0.3101181280349571,
0.13765148430319257,
0.27958925789989647,... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 9 |
1457114476589758253 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2], [0, 2], [0, 3], [0, 1], [3, 4]]} | {"states": [14, 6], "expectation_value": -1.2713277891718946, "params": null, "bitstrings": ["10001", "11001"], "total_optimization_steps": 28, "probabilities": [0.34954590144511705, 0.4186126084182644], "optimization_time": 14.99222707748413} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.5, "smallest_bitstrings": ["11001", "10101", "10001", "01110", "01010", "00110"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.027465318538021748) q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
ry(0.027465318538021748) q[0];
cx q[3], q[0];
ry(-0.1892872404686874) q[0];
cx q[2], q[0];
ry(0.1892872404686874) q[0];
cx q[2], q[0];
ry(-0.06333852125901397) q[0];
cx q[1], q[0];
ry(0.06333... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"IIZZI",
"IIZIZ",
"IIIZZ",
"IZIIZ",
"ZZIII",
"IIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.972727 | [
-0.054930637076043495,
1.5856641070355026,
-0.3785744809373748,
1.3136107911713928,
-0.12667704251802794,
-0.28241134590133377,
0.0892121044475156,
0.5573195372806842,
-1.3025878273264733,
-1.2477322941505482,
-0.18967926203427887,
0.3753065817761621,
0.050921257781780575,
-0.4342399958631... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 35 |
9d0fda9991561362ccfc12e66c38b9f5 | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 50], "expectation_value": -3.996515641776755, "params": null, "bitstrings": ["001011", "001101"], "total_optimization_steps": 22, "probabilities": [0.06700895329531315, 0.9297461640992837], "optimization_time": 18.920441389083862} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011100", "001011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.05915602651802649) q[0];
rz(-0.15469163530750052) q[0];
rx(3.4191362901712914) q[1];
rz(0.45246714787639103) q[1];
rx(0.17983961904902268) q[2];
rz(-0.05096309531274679) q[2];
rx(3.0050058723652) q[3];
rz(1.0763901855253808) q[3];
rx(3.085973281590634) q[4];
rz(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIIZZI",
"ZIIZII",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IZIZII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-1,
-1,
-0.5
] | 0.971457 | [
-0.05915602651802648,
-0.1292100876511263,
3.4191362901712914,
0.45246714787639103,
0.17983961904902268,
-0.05096309531274679,
3.0050058723652,
1.0763901855253808,
3.085973281590634,
0.20126058805128294,
3.3609533359992207,
0.3973179116121901,
0.08371651178469919,
-0.042244168201899246,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 21 |
06224520ded029e940b1fde3f5ab3e3b | 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": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [17, 37], "expectation_value": -3.003065798986642, "params": null, "bitstrings": ["101110", "011010"], "total_optimization_steps": 28, "probabilities": [0.05910217727314931, 0.8451772667375618], "optimization_time": 16.31174349784851} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + -0.25 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["011010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IZZIII",
"IIZIZI",
"ZIIIZI",
"ZIZIII",
"ZIZIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.25
] | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
dcaf4af6d02916eda9058c67c3edc444 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [1, 509], "expectation_value": -0.17717053080944242, "params": [[-0.0449], [0.0555]], "bitstrings": ["1111111110", "1000000010"], "total_optimization_steps": 10, "probabilities": [0.0011372098130981146, 0.0011508875973012217], "optimization_time": 3.187211036682129} | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(8) @ Z(0)) + 1.25 * (Z(9) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(8)) + -0.5 * (Z(1) @ Z(9)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(9)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(4)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1000000010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.2583719469822462) q[0];
ry(0.1214584341336278) q[1];
ry(-0.11405070225711955) q[2];
ry(0.007749429381486442) q[3];
ry(0.04055674176130558) q[4];
ry(0.018861097006415632) q[5];
ry(0.029622352821727087) q[6];
ry(-0.06075281599518138) q[7];
ry(0.4612964240856349) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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]... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"IIIIIIZIZI",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"IIIIZIZIII",
"IZIIZIIIII",
"IIIIZIIIZI",
"IIZIIIZIII",
"ZIZIIIIIII",
"IIZIZIIIII",
"IIZIIIIZII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
-0.25,
-0.75,
1.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.75,
-0.5,
-0.75,
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.75,
-0.25,
-0.25,
-1.75,
0.5,
0.5,
0.75,
-0.75,
0.25,
0.25,
0.75
] | 0.972633 | [
-0.2583719469822462,
0.1214584341336278,
-0.11405070225711955,
0.007749429381486442,
0.04055674176130558,
0.018861097006415632,
0.029622352821727087,
-0.06075281599518138,
0.4612964240856349,
-0.14543332744390813,
-0.7626728996111274,
-0.3415854265309427,
-0.006583397971209963,
0.052111512... | {
"n_parameters": 69,
"n_qubits": 10,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 82 |
6d259388045d20d69ae4242ad2e143d7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [16, 9], "expectation_value": -4.193548698875964, "params": null, "bitstrings": ["01111", "10110"], "total_optimization_steps": 21, "probabilities": [0.07126123316379822, 0.8232615936107338], "optimization_time": 11.501025438308716} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 0.25 * Z(1) + 0.5 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["10110"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.2266707306631195) q[0];
h q[1];
ry(1.0272541345090267) q[1];
ry(-0.5861463410328833) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.6625309996307737) q[3];
h q[4];
cx q[4], q[0];
ry(0.2266707306631195) q[0];
cx q[4], q[0];
ry(-1.161710436049223) q[0];
ry(1.320414490855... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIZIZ",
"IZZII",
"IZIIZ",
"IIZZI",
"IZIZI",
"ZIIIZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
1.25,
-0.75,
-1,
-0.25,
0.5,
0.25,
0.5
] | 0.974474 | [
-0.453341461326239,
1.3204144908550612,
-1.0707147283862435,
2.0545082690180534,
0.03783762275645283,
-1.3250619992615473,
-0.18199141532595858,
-1.1961211419101938,
-0.3696846406039731,
-0.5697898662685712,
0.6076384529352682,
-0.454147025534971,
-0.17281825067926812,
-1.0626170488715485
... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 17 |
80ea40a1cd4d9bb780bbb97236d9a0bc | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "so... | {"states": [214, 206], "expectation_value": -6.1820378318315345, "params": [[-0.1295, -0.08320000000000001, -0.0264], [0.1552, 0.10840000000000001, 0.0873]], "bitstrings": ["100101001", "100110001"], "total_optimization_steps": 20, "probabilities": [0.011365598819440355, 0.011365598819440362], "optimization_time": 9.51... | -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-9.375, -9.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.125, "smallest_bitstrings": ["100110001", "100101001"], "largest_eigenvalue": 26.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.08799439082692172) q[0];
rz(-0.04053423072081053) q[0];
rx(1.2006522271996443) q[1];
rz(-0.029852817323747956) q[1];
rx(1.2006522271996443) q[2];
rz(-0.08799439082692172) q[2];
rx(0.18833581716882544) q[3];
rz(-0.4849824546849156) q[3];
rx(-0.18261437563468638) 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": 4} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIZZIIII",
"IIIZIIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IIZZIIIII",
"IZIIZIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIIZII",
"IZIIIIZII",
"IIIIIIZZI",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"... | [
-0.5,
1,
-0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.375,
2,
-1.625,
2,
3.5,
3.5,
-0.5,
1.75,
1.75,
-0.125
] | 0.978674 | [
-0.08799439082692172,
0.32284741774146336,
1.2006522271996443,
-0.029852817323747956,
0.18833581716882544,
-0.4849824546849156,
-0.18261437563468638,
0.4457386079991235,
1.0214807372461534,
0.12397842284346364,
1.0316252057604736,
-0.01557903318317504,
0.97996823976922,
0.23266544356229904... | {
"n_parameters": 74,
"n_qubits": 9,
"optimal_eigenvalue": -9.375,
"target_ratio": 0.97,
"target_value": -9.09375
} | 10 |
3be62d904e3c491ed9eeb750b53bffe0 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [117, 109], "expectation_value": -33.31100559704856, "params": null, "bitstrings": ["10001010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.12248358700896955, 0.148783055868588], "optimization_time": 148.18157172203064} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 6.0 * Z(0) + 18.0 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 149.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.21168570971743653) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.21168570971743653) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.21168570971743653) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(-0.21168570971743653) q[2];
c... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.1246) q[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",
"IIIZIIZI",
"IIIIIZIZ",
"IIIZIZII",
"IIIZZIII",
"IIIIZZII",
"IIZIIIIZ",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11,
6,
18,
19,
3,
14.5,
3,
16
] | 0.973688 | [
-0.21168570971743653,
1.9308856659451843,
-0.7604456361294802,
2.2336652977818137,
0.9512505163062746,
-1.0949576031587098,
1.4022228748807728,
0.4690458748432811,
-0.3776214951120504,
0.21283364112687017,
-0.12348753682552199,
-0.5123941432253454,
-0.4469842718237369,
0.846666572969099,
... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 46 |
668f90355fba57bcb4fb60386433c90f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [110, 107], "expectation_value": -17.0907517483564, "params": [[-0.0369, 0.0016], [0.0742, 0.0761]], "bitstrings": ["10010001", "10010100"], "total_optimization_steps": 10, "probabilities": [0.011261060100379779, 0.012119080348273864], "optimization_time": 2.787576913833618} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 5.0 * Z(0) + 7.5 * Z(1) + 14.0 * Z(2) + 13.0 * Z(4) + 2.0 * Z(3) + 13.5 * Z(6) + 4.5 * Z(5) + 13.0 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 117.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.03151214468051604) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(-0.03151214468051604) q[2];
cx q[0], q[2];
rz(-1.5704264103695476) q[0];
rx(-1.5760082004320597) q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.03151214468051604) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIZII",
"IIIIZZII",
"IIIZZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5,
7.5,
14,
13,
2,
13.5,
4.5,
13
] | 0.924291 | [
-0.03151214468051604,
-1.5704264103695473,
1.5705991780520145,
1.5706765641735296,
1.5707989169663568,
-1.57058498502492,
1.5712808281552364,
-1.5760082004320595
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 204 |
1949b28e1aa10ea2a276346fd4c09def | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": ... | {"states": [2046, 1534], "expectation_value": -18.73343111608348, "params": [[[0.0038, -0.6298], [-0.0018000000000000002, -0.008700000000000001], [0.7192000000000001, 0.0023], [0.0028, -0.0024000000000000002], [0.0028, 0.0029000000000000002], [0.002, 0.0028], [0.002, 0.0024000000000000002], [0.0026000000000000003, 0.00... | -0.75 * (Z(0) @ Z(4)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(11) @ Z(0)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(11)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(10) @ Z(4)) + -0.75 * (Z... | 15 | 12 | 4 | {"smallest_eigenvalues": [-20.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["101000000001"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.06813522453985596) q[0];
ry(0.17584722051751664) q[1];
ry(1.258010477981235) q[2];
ry(0.0030119030717069145) q[3];
ry(0.0030119030717069145) q[4];
ry(-0.006822123741226881) q[5];
ry(-0.006822123741226881) q[6];
ry(0.023107305974111217) q[7];
ry(0.05304853184142048... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIIZZIIII",
"IIIIIIZIIIIZ",
"ZIIIIIIIIIIZ",
"IIIIIIIIIZIZ",
"IIIIIIIZIIZI",
"IIIIIIZIIIZI",
"ZIIIIIIIIIZI",
"IIIIIZIIIIZI",
"IIIZIIIZIIII",
"IIIZIIZIIIII",
"IIIZIIIIIIZI",
"IZIIIIIZIIII",
"IZIIIIZIIIII",
"ZZIIIIIIIIII",
"IZIIIIIIIZII",
"IZIIIIIIIIZI",
"IZIIIZIII... | [
-0.75,
-1,
-0.25,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
2.5,
-0.75,
-0.25,
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.75,
-0.5,
-0.25,
-0.25,
-1.5,
-0.25,
1.25,
-... | 0.971451 | [
0.06813522453985596,
0.17584722051751664,
1.258010477981235,
0.0030119030717069145,
-0.006822123741226881,
0.023107305974111217,
0.053048531841420485,
-0.10898275606818371,
0.12034127863918324,
-0.585214089273056,
0.03208377583704284,
0.02760784330248979,
0.01161688394455493,
-0.0163271609... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -20.25,
"target_ratio": 0.97,
"target_value": -19.6425
} | 50 |
-2460662058905429005 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 6, 7], [0, 8], [3, 5, 7], [0, 1, 2], [2, 4, 5, 6], [0, 2, 6], [8, 1, 5, 6], [0, 1, 6], [0, 4], [1, 2, 3, 7]]} | {"states": [502, 247], "expectation_value": -2.8649979685367164, "params": null, "bitstrings": ["000001001", "100001000"], "total_optimization_steps": 60, "probabilities": [0.04336735707633687, 0.8689054639129261], "optimization_time": 138.19648480415344} | 0.08333333333333333 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.41666666666666663 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(3... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.083333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9166666666666665, "smallest_bitstrings": ["100001000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.2225353764585874) q[0];
ry(-2.8465496891675657) q[1];
rz(-pi) q[1];
h q[2];
ry(0.49572095090537377) q[2];
ry(-2.8973960908061285) q[3];
rz(-pi) q[3];
h q[4];
ry(1.035639383235612) q[4];
h q[5];
ry(-0.39886240086857155) q[5];
h q[6];
ry(1.5263155822988637) ... | 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(1.5405) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIZIIZ",
"IIZIIZIII",
"IIZIIIIIZ",
"IZIIIZIII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIZIIIZI",
"IIIIIZZII",
"IIIIIIZIZ",
"IIZIIIZII",
"... | [
0.08333333333333333,
0.08333333333333333,
0.41666666666666663,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.25,
0.08... | 0.975598 | [
1.5263155822988637,
1.16223344483739,
0.9356509038821239,
-0.4450707529171748,
1.035639383235612,
-0.5984480809720509,
1.4496987658570857,
-0.5908794017492915,
0.9914419018107475,
-0.7977248017371431,
0.6643339796522637,
0.6802049169810906,
0.1811119406304046,
-0.6674145868865319,
0.3287... | {
"n_parameters": 48,
"n_qubits": 9,
"optimal_eigenvalue": -3.083333333333333,
"target_ratio": 0.97,
"target_value": -2.990833333333333
} | 11 |
64af4c2b79332f45cc93f4adbc07969b | 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": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [54, 85], "expectation_value": -1.1640413120831563, "params": [[-0.07490000000000001, -0.0737, -0.0727, -0.08270000000000001], [0.0753, 0.0734, 0.07010000000000001, 0.0746]], "bitstrings": ["1001001", "0101010"], "total_optimization_steps": 10, "probabilities": [0.01989278213776943, 0.02005095904222512], "op... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001001", "0101010", "1001010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.25338627450980583) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.25338627450980583) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.9473661220913092) q[1];
rx(-0.2080075969347992) q[1];
rz(-0.25338627450980583) q[3];
cx q[0], 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": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IZIIIIZ",
"IIIZZII",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIZII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-0.5,
0,
0,
0
] | 0.970986 | [
-0.25338627450980583,
0.9473661220913083,
-0.9337401987869697,
0.3531371851195526,
-0.5804148754389825,
-0.2080075969347992,
0.17985523282227697,
0.325923884646385,
-0.24865337180145192,
0.8217671501540741,
0.8735651033300764,
0.040642181543637954,
0.4716806334505762,
-0.310381831459071,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 36 |
eaf152c9366c1fc70b9994ec462b6b4c | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [35, 7], "expectation_value": -0.3197908461970729, "params": [[-0.0594, 0.0512, 0.0758], [0.082, 0.025400000000000002, -0.0488]], "bitstrings": ["011100", "111000"], "total_optimization_steps": 10, "probabilities": [0.01839407391157782, 0.0189170106447553], "optimization_time": 3.5044941902160645} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "011100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.6888090260409325) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IIIZZI",
"IIZIZI",
"IZIIZI",
"ZIIZII",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
-1.5,
0,
-0.5
] | 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 |
11576eab70c2ec583415b5e8bd58f9e2 | kclique | qaoa | {"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": [7, 13], "expectation_value": -3.7504224621728843, "params": [[-0.0268, -0.061200000000000004, -0.0453, -0.0635], [0.0086, 0.0629, 0.061200000000000004, 0.0708]], "bitstrings": ["111000", "110010"], "total_optimization_steps": 10, "probabilities": [0.03920257051000197, 0.04027225760655005], "optimization_tim... | 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 *... | 11 | 6 | 4 | {"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[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"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 |
c5b30b94cad3afd2b2d3cf8b55cce16a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [47, 7], "expectation_value": -15.708511535834244, "params": null, "bitstrings": ["11010000", "11111000"], "total_optimization_steps": 67, "probabilities": [0.12393977867550218, 0.6829558389196597], "optimization_time": 101.7936282157898} | -0.75 * (Z(0) @ Z(1)) + -2.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.75 * (Z(7) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.25 * (Z(3... | 1 | 8 | 1 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["11101000", "11111000"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.03992472608385109) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00269159676729528) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.012002982498467882) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.03992472608385109) q[4];
c... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2796) 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[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIZIIIII",
"IZIZIIII",
"ZZIIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII"
] | [
-0.75,
-2.75,
-0.5,
-0.75,
-1.5,
-1.75,
-0.25,
-0.25,
2.25,
-0.25,
-1.75,
-1.25,
-1.5,
-1.25,
-2.25,
-0.25,
-2,
0,
3,
-1.25,
4,
-1.25
] | 0.704523 | [
-0.03992472608385109,
-0.00269159676729528,
0.012002982498467882,
-0.027140045216093485,
0.025484428609887977,
0.1802066675376493,
1.9968684935125172,
-0.20796776869104522,
-1.5713798940041483,
-1.5612242179332285,
-0.06687445425594916,
1.6319185724475551,
1.523682567149112,
-1.28080419968... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 344 |
3d599008e6d247101eb02503201a8a05 | 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": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [3, 15], "expectation_value": -3.7234761311179265, "params": null, "bitstrings": ["11100", "10000"], "total_optimization_steps": 31, "probabilities": [0.07184116205466895, 0.8057247226415204], "optimization_time": 22.056509971618652} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08055982018340721) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.08055982018340721) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.5225355503098899) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0805598201834072... | 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];\ncry(1.57) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubi... | [
"IIZIZ",
"ZIZII",
"ZIIIZ",
"IIZZI",
"IZZII",
"ZZIII",
"IZIZI",
"IIZII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IZIII"
] | [
-0.25,
-0.25,
0.5,
-1.5,
-0.25,
-0.5,
-1,
0.75,
-0.25,
-0.25,
0,
-0.25
] | 0.869132 | [
0.08055982018340721,
-0.35470681563137524,
0.5225355503098899,
1.1234973761473965,
1.3097500534732263,
0.06301837355841679,
0.0172289539833638,
1.175101985651543,
-0.050600734974519,
-0.913335335482333,
1.0536620339595795,
1.7102271339985182,
2.127471121365935,
-0.06929635052414747,
1.03... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 500 |
74f1125e6d8fb81d50ccda86d2f6d4a3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1391, 1425], "expectation_value": -62.52972918867124, "params": [[[1.586, 1.5827], [1.5836000000000001, 1.0784], [1.5839, 1.5856000000000001], [1.5874000000000001, -0.0616], [1.582, 1.5774000000000001], [1.5850000000000002, -0.3675], [1.5889, 1.5835000000000001], [1.5883, 1.4935], [1.5905, -0.19460000000000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(0)) + 7.5 * (Z(10) @ Z(1)) + 8.0 * Z(1) + 15.5 * Z(0) + 13.0 * Z(2) + 3.5 * Z(4) + 6.5 * Z(3) + 4.5 * Z(5) + 9.5 * Z(6) + -7.0 *... | 15 | 11 | 1 | {"smallest_eigenvalues": [-112.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.0, "smallest_bitstrings": ["01001101110"], "largest_eigenvalue": 137.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.4987849714605779) q[0];
ry(1.633474085358458) q[1];
ry(1.5838680407841645) q[2];
ry(1.5776812204405917) q[3];
ry(1.5715009133738083) q[4];
ry(1.6657292994128765) q[5];
ry(1.590544208225914) q[6];
ry(1.599768451918965) q[7];
ry(1.514915035999047) q[8];
ry(1.5127381... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIZIIIIIIIZ",
"ZIIIIIIIIZI",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"IIZIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
8,
15.5,
13,
3.5,
6.5,
4.5,
9.5,
-7,
-4,
2.5,
-10
] | 0.975124 | [
1.4987849714605779,
1.633474085358458,
1.5838680407841645,
1.5776812204405917,
1.5715009133738083,
1.6657292994128765,
1.590544208225914,
1.599768451918965,
1.514915035999047,
1.5127381621919993,
1.5795993837709599,
1.407193949184884,
1.472952255989399,
1.653813580406381,
-1.497102267224... | {
"n_parameters": 22,
"n_qubits": 11,
"optimal_eigenvalue": -112,
"target_ratio": 0.97,
"target_value": -108.64
} | 51 |
dcc91cdbd34687cb4cde0159b3b69295 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 3}, {"capaci... | {"states": [29, 1], "expectation_value": -5.788519362771979, "params": [[-0.0723, -0.06720000000000001, -0.0655, -0.0422], [0.07730000000000001, 0.0741, 0.0771, 0.0685]], "bitstrings": ["100010", "111110"], "total_optimization_steps": 10, "probabilities": [0.07358505858847703, 0.08719380800832899], "optimization_time":... | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + -3.75 * Z(4) + 2.25 * Z(5) + 0.75 * Z(1) + 2.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.044664277725590396) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.9476165902599167) q[4];
cx q[0], q[4];
h q[5];
cx q[2], q[5];
rz(0.2197380806591726) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.044664... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIIIZ",
"ZIIZII",
"ZIIIIZ",
"IIIZZI",
"IZIIZI",
"IIZZII",
"IZZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
-1.5,
-1,
-0.5,
2.75,
-1.5,
-1.25,
-1.5,
-1.5,
-1,
-1,
-0.25,
-3.75,
2.25,
0.75,
2
] | 0.971285 | [
-0.044664277725590396,
0.9476165902599167,
0.2197380806591726,
-1.0514987471546466,
0.7957038260820295,
0.9413668686439479,
0.30213414012420514,
-0.21178742517058777,
-0.276000794237401,
-0.56205179495253,
-0.048813665783677476,
0.00872254323661896,
-1.560904246060386,
-0.16892054994762315... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 244 |
d2601bbf36e7658df88520110518167a | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": []} | {"states": [60285, 32190], "expectation_value": -14.03324082130861, "params": [[-0.14850000000000002, -0.4045, -0.9058], [0.5221, 0.2391, 0.1937]], "bitstrings": ["0001010010000010", "1000001001000001"], "total_optimization_steps": 500, "probabilities": [0.009575092767631823, 0.009575092767631825], "optimization_time":... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 1 | 16 | 3 | {"smallest_eigenvalues": [-16.000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.99999999999997, "smallest_bitstrings": ["1000001001000001"], "largest_eigenvalue": 56.00000000000003} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
ry(1.6170527242996016) q[0];
h q[1];
ry(0.7805138677541621) q[1];
h q[2];
h q[3];
ry(-0.4322759362401726) q[3];
h q[4];
h q[5];
ry(1.6170527242996016) q[5];
h q[6];
ry(0.7805138677541621) q[6];
cx q[0], q[6];
ry(-0.7805138677541621) q[6];
cx q[0], q[6];
cx q[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;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 3}, {"id": 0}], "edges": []}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0... | 0.970924 | [
1.6170527242996016,
1.5610277355083242,
-0.679222417946599,
1.0685797201107086,
-0.7139150329584052,
1.2551773451408712,
-0.8645518724803452,
1.1591405251708378,
-1.2079243771877828,
0.5130784379949134,
-0.5721670552309985,
0.3166512198214887,
-0.5898526595454422,
0.3774141208097306,
-0.... | {
"n_parameters": 46,
"n_qubits": 16,
"optimal_eigenvalue": -15.99999999999997,
"target_ratio": 0.97,
"target_value": -15.519999999999971
} | 6 |
1592120513218526661 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 4], [2, 11], [8, 3, 5, 7], [2, 5, 6, 7], [8, 0], [1, 9], [2, 3], [1, 11], [10, 5], [9, 10], [8, 3, 11, 5], [8, 1, 7], [8, 9, 5, 6], [1, 3, 4, 7], [0, 3, 12], [10, 2, 12, 6], [11, 12, 5], [0, 10], [9, 3, 12], [9, 4], [9, 2, 12, 6]]} | {"states": [4843, 4842], "expectation_value": -5.9659696681128045, "params": [1.5687, 1.5688, -0.0036000000000000003, -0.0016, -0.0129, 0.0165, 1.8782, 1.2644, 0.9683, 0.9484, 1.4259000000000002, 1.679, 1.5670000000000002, 1.5636, 1.8266, 1.2917, 0.1565, 0.0959, 1.6065, 1.5412000000000001, -0.0349, 0.041100000000000005... | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(11) @ Z(1)) + 0.5 * (Z(2) @ Z(11)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(11)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + ... | 14 | 13 | 1 | {"smallest_eigenvalues": [-6.583333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.333333333333335, "smallest_bitstrings": ["0110100010101"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.3265333234357086) q[0];
rz(pi/2) q[0];
ry(-0.04759002561814456) q[1];
ry(0.25605948416415475) q[2];
ry(2.072317756201524) q[3];
ry(0.34903026415229227) q[4];
ry(1.7870139491610988) q[5];
ry(1.5957188609413744) q[6];
ry(1.6935658044901987) q[7];
ry(0.26579714348971... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIZIIZI",
"IIIIIIIIZIIIZ",
"IZIIIIIIIIIZI",
"IZIIIIIIIIZII",
"IIIIZIIIIIIZI",
"IIIIZIIIIIIIZ",
"IZIIZIIIIIIII",
"IIIIIIIIIZIZI",
"IIIIIIIIIZIIZ",
"IIIIIIIIZZIII",
"IZIIIIIIIZIII",
"IIIIIIIIIZZII",
"IIIIZIIIIZIII",
"IZIIIIIZIIIII",
"IIIIIIIZIIZII",
"IIIIZIIZIII... | [
0.16666666666666666,
0.25,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.25,
0.08333333333333333,
0.25,
0.16666666666666666,
0.25,
0.0... | 0.97186 | [
1.3265333234357086,
-0.04759002561814456,
0.25605948416415475,
2.072317756201524,
0.34903026415229227,
1.7870139491610988,
1.5957188609413744,
1.6935658044901987,
0.2657971434897111,
1.5618294947206788,
-0.11726238253944804,
1.8126931608770511,
2.542637019992714,
-0.06596713816945435,
1.... | {
"n_parameters": 52,
"n_qubits": 13,
"optimal_eigenvalue": -6.583333333333335,
"target_ratio": 0.97,
"target_value": -6.385833333333335
} | 33 |
9645644fcb46d75a104e4de81b9201a7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [106, 43], "expectation_value": -4.244391983267604, "params": null, "bitstrings": ["0010101", "1010100"], "total_optimization_steps": 28, "probabilities": [0.0019201550878499567, 0.9963308260200148], "optimization_time": 18.272721529006958} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(6) + 1.0 * Z(3) + -0.75 * Z(1) + -0.75 * Z(4) + 0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1111100", "1010100"], "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... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"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 |
91ee5f0f4255f3e469e33f428a617749 | 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": 8, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 15, "source": 1, "tar... | {"states": [378, 234], "expectation_value": -21.964183522899702, "params": [[0.0287, 0.008700000000000001, 0.015700000000000002], [-0.0555, -0.052700000000000004, -0.062]], "bitstrings": ["010000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.007991986171410413, 0.00987717573339217], "optimizati... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 8.5 * Z(0) + 14.5 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1029303655620119) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.1029303655620119) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1029303655620119) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.1029303655620119) 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": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
8.5,
14.5,
12,
3.5,
11.5,
7.5,
13,
3
] | 0.974467 | [
0.1029303655620119,
1.0465998757504669,
0.23951340859321296,
1.8119189140346126,
-0.6838871026721113,
1.1761664275029378,
-0.28379909071408294,
0.5399637562985133,
-1.3515877448197355,
-0.1889742116324448,
-0.11332813777595517,
0.4520013129626884,
-1.7022300146239937,
-0.34242647087101163,... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 66 |
109dd65f843c7effe1b685156edca6d7 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "ta... | {"states": [13, 7], "expectation_value": -9.843995196485032, "params": [[0.0497, -0.0027, 0.0285], [-0.055400000000000005, -0.0275, -0.0361]], "bitstrings": ["11110010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.008078116143866844, 0.008484734389491789], "optimization_time": 10.186927080154419} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + ... | 16 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020614379663043705) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.020614379663043705) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020614379663043705) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020614379663043705) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.5,
-7.25,
-7,
-7,
-6.5,
-6.5,
-6.25
] | 0.971073 | [
0.020614379663043705,
-0.06563921442885634,
-0.6869657315794282,
-1.4972446815351845,
-1.3570263320892326,
0.5300986815983618,
0.06960159444877413,
-0.23523052806335437,
-0.03648713290377981,
-0.028121845837364642,
-0.9009106158759526,
-0.10227264967403488,
-0.5108808338805213,
0.830325209... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 70 |
8446431012283473570 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 4, 5, 6, 7], [1, 2, 3, 6], [1, 2, 6, 7], [1, 2, 4, 6]]} | {"states": [219, 91], "expectation_value": -0.8689590945676893, "params": null, "bitstrings": ["00100100", "10100100"], "total_optimization_steps": 53, "probabilities": [0.1660654797490104, 0.38392182063794017], "optimization_time": 95.51060581207275} | 0.023809523809523808 * (Z(0) @ Z(1)) + 0.10714285714285714 * (Z(3) @ Z(1)) + 0.023809523809523808 * (Z(3) @ Z(0)) + 0.10714285714285714 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.023809523809523808 * (Z(4) @ Z(3)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.023809523809523808 * (Z(5) @ Z(0)) + 0.02380952... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.9404761904761905, -0.9404761904761905], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.9404761904761904, "smallest_bitstrings": ["10100100", "01000100"], "largest_eigenvalue": 3.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(1.4722755719935803) q[1];
h q[2];
ry(-0.2957467805347192) q[2];
ry(-2.0021056535856068) q[3];
rz(-pi) q[3];
ry(-2.023593739825515) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.14116984227840723) q[5];
ry(-2.612662588065239) q[6];
rz(-pi) q[6];
cx q[1], q[6];
ry(... | 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(1.395) 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... | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZZI",
"IIIIZZI... | [
0.023809523809523808,
0.10714285714285714,
0.023809523809523808,
0.10714285714285714,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.2738095238095238,
0.023809523809523808,
0.10714285714285714,
0.1071428... | 0.972836 | [
1.4722755719935803,
0.7105499590702244,
0.6626326044002361,
-0.5914935610694384,
-0.3631285791544895,
-0.20046418216524306,
0.5062667978647899,
0.4127096184284608,
0.055109464827340214,
-0.3153365580053234,
-0.042428935821069144,
0.259612851117069,
0.3863691238270986,
0.15704172891372495,
... | {
"n_parameters": 53,
"n_qubits": 8,
"optimal_eigenvalue": -0.9404761904761905,
"target_ratio": 0.97,
"target_value": -0.9122619047619047
} | 8 |
74e5b8afd1f04f850c8f51ecde3fef19 | 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": 3}, {"source": ... | {"states": [12, 24], "expectation_value": -0.8810071994614048, "params": [[-0.050800000000000005, -0.0531, -0.0279], [0.0664, 0.07010000000000001, 0.0521]], "bitstrings": ["110011", "100111"], "total_optimization_steps": 10, "probabilities": [0.021650453516161666, 0.021650453516161672], "optimization_time": 3.990838289... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) + -1.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["111100", "101101", "111001", "110011", "100111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3288835488220096) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3288835488220096) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.3288835488220096) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(-0.3288835488220096) q[0];
cx q[3], q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1,
-1,
-0.5,
-1.5
] | 0.710578 | [
-0.3288835488220096,
-0.4569013984649304,
0.39546902870984457,
-0.3214849664719219,
0.9367080556633262,
0.16515648853293044,
-0.1360939212779516,
0.39540444651921214,
0.8277812160071212,
-0.22629743565087163,
-0.6257377300833731,
0.5468911503864696,
0.21370137785717494,
0.4954772027731417,... | {
"n_parameters": 21,
"n_qubits": 10,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 500 |
e12d542ca2928252cbffc7fed423cb54 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"sour... | {"states": [306, 434], "expectation_value": -5.789791950747508, "params": [[1.0024, 0.931, 0.3851, 0.9425, 1.0045, 0.0034000000000000002, 0.0044, 0.9941000000000001, 0.0015], [0.5716, 0.1888, 0.5296000000000001, 0.1962, 0.5609000000000001, 0.0028, 0.004200000000000001, 0.9933000000000001, -0.0022], [1.0083, 0.9977, -0.... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * Z(5) + 0.0 * Z(0) + -1.0 * ... | 10 | 9 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["001001101"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.7921853431985098) q[0];
ry(1.6988616180895373) q[1];
ry(0.47904447062127364) q[2];
ry(1.2938005099317744) q[3];
ry(1.5580139893581813) q[4];
ry(-0.0005983604557634192) q[5];
ry(0.054606558500272684) q[6];
ry(1.3015265612875322) q[7];
ry(0.09027843811608988) q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIIIIIZZI",
"IIZZIIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIIZIZIII",
"IIIIIZZII",
"ZIIIIZIII",
"IIIZZIIII",
"ZIIIZIIII",
"IZZIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIZIII",
"ZIIIIIIII",
"IIIIZIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
0,
-1,
-1.5,
-1.5,
-1,
-0.5,
-0.5,
0
] | 0.973223 | [
1.7921853431985098,
1.6988616180895373,
0.47904447062127364,
1.2938005099317744,
1.5580139893581813,
-0.0005983604557634192,
0.054606558500272684,
1.3015265612875322,
0.09027843811608988,
0.04809108180545292,
-0.30973109954049516,
0.25642656364425664,
-0.011584341808876089,
-0.070410595713... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 23 |
1acf7607c7ee29e36b87a4b01083b206 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 3, "target": 5}, {"capaci... | {"states": [21, 31], "expectation_value": -4.478958451961376, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 52, "probabilities": [0.16347067988755046, 0.5183808250580454], "optimization_time": 44.47716021537781} | -1.5 * (Z(0) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.06827815816356449) q[0];
h q[1];
ry(0.28864931235364366) q[1];
h q[2];
h q[3];
cx q[3], q[1];
ry(-0.28864931235364366) q[1];
cx q[3], q[1];
ry(0.2691310622985146) q[3];
ry(0.7286787559448862) q[1];
h q[4];
ry(1.1406820502596924) q[4];
cx q[2], q[4];
ry(-1.... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.57) q[3], 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 \"s... | [
"IZIIIZ",
"IZIIZI",
"IIZIZI",
"IZIZII",
"ZZIIII",
"ZIIIIZ",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-0.25,
-1.25,
-1,
-1.5,
1.75,
-0.25,
0.25,
-0.25,
1,
-1,
0,
0
] | 0.970202 | [
0.5772986247072873,
-0.13655631632712897,
1.4784928192670517,
2.2813641005193848,
2.1336059398620155,
0.08833575044167,
-0.9910259827145842,
0.04008808361503387,
0.5382621245970292,
1.4573575118897724,
1.1779871136653997,
-0.41195736481598083,
0.047345997501894194,
0.04288036191304298,
-... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 97 |
aacaa96485aecd447212f3a2ddad723b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 5, "source": 0, "target": 8}, {"capacity": 2, "s... | {"states": [161, 129], "expectation_value": -13.732042259953074, "params": [-0.006900000000000001, -0.1154, -0.0023, -0.1373, 0.2912, 0.0614, 0.2854, 0.0145, -0.0038, -0.198, -0.005200000000000001, -0.1865, 0.1033, 0.0656, 0.13340000000000002, -0.0117, -0.0015, -0.21830000000000002, 0.0002, -0.21660000000000001, -0.003... | -0.25 * (Z(0) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(0)) + 2.0 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(8)) + -1.0 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + 3.5 * Z(6) + -0.25 * Z(0) + -2.25 * Z(7) + 1.5 * Z(8) + 0.5 * Z(1) + -2.5 * Z(2) + -0.7... | 5 | 9 | 4 | {"smallest_eigenvalues": [-15.0, -15.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.0, "smallest_bitstrings": ["101111110", "101011110"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.4913160654204863) q[0];
cx q[6], q[0];
h q[7];
cx q[6], q[7];
rz(0.028512783119828907) q[7];
cx q[6], q[7];
cx q[0], q[7];
cx q[6], q[2];
rz(0.08515804722401596) q[2];
cx q[6], q[2];
cx q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IZZIIIIII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIZIIIZII",
"IZIIIIZII",
"IIIIZIZII",
"IIIIIZZII",
"IIZZIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII"
] | [
-0.25,
-1.5,
-1.5,
2,
-0.5,
-1,
-0.75,
-0.75,
-1.5,
-1.25,
3.5,
-0.25,
-2.25,
1.5,
0.5,
-2.5,
-0.75,
1.5,
-1.25
] | 0.971071 | [
0.4913160654204863,
0.028512783119828907,
-0.10664507011831546,
0.20651815175090793,
0.08515804722401596,
0.2830349843323535,
0.25990397793380765,
0.7521858922283763,
0.762225500893824,
-0.7412541471942645,
-0.628866500207978,
0.8576843208197956,
1.564883096515674,
0.5534726737838552,
0.... | {
"n_parameters": 39,
"n_qubits": 9,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 113 |
221348728401429854 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 6, 7], [1, 2, 4], [0, 2, 3, 4, 7], [2, 3, 6, 7], [5, 7], [1, 5], [0, 1, 6], [0, 4, 5], [2, 3, 4, 5], [1, 3, 4]]} | {"states": [249, 241], "expectation_value": -2.3442532050664564, "params": [1.5793000000000001, 0.0017000000000000001, 1.5833000000000002, 0.0095, 1.2778, -0.0258, 1.3859000000000001, 0.0494, 1.5742, -0.0013000000000000002, 1.5733000000000001, 0.0022, 1.5915000000000001, -0.0176, 1.5884, -0.2494, 0.7664000000000001, -0... | 0.25 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.21666666666666667 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.133333... | 8 | 8 | 1 | {"smallest_eigenvalues": [-2.8666666666666663], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.783333333333333, "smallest_bitstrings": ["00001110"], "largest_eigenvalue": 8.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.7446791995684217) q[0];
rz(1.5077307797974253) q[0];
rx(0.9212373094744453) q[1];
rz(-0.038392961133075165) q[1];
cx q[1], q[0];
ry(-0.028513372880744438) q[0];
cx q[1], q[0];
ry(1.671252479590011) q[0];
rz(-1.9580734625325484) q[0];
rx(1.5524460970557816) 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": []} | [
"IIIIZIZI",
"IZIIZIII",
"IZIIIIZI",
"ZIIIZIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIZZII",
"IIIIIZZI",
"IZIIIZII",
"ZIIIIZII",
"IIIZZIII",
"IIIZIIZI",
"ZIIZIIII",
"IIIZIZII",
"IIIIZIIZ",
"IIIIIIZZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIZIII",
"IIZIIIZI",
"ZIZIIII... | [
0.25,
0.16666666666666666,
0.25,
0.21666666666666667,
0.08333333333333333,
0.16666666666666666,
0.21666666666666667,
0.16666666666666666,
0.08333333333333333,
0.13333333333333333,
0.3,
0.3333333333333333,
0.05,
0.3,
0.05,
0.16666666666666666,
0.16666666666666666,
0.05,
0.05,
0.... | 0.97964 | [
1.7446791995684217,
-0.06306554699747174,
0.9212373094744453,
-0.038392961133075165,
1.4506288502567268,
-0.054483577452791636,
1.8944163036285018,
0.06828348573775123,
0.23192538338136187,
-0.460818355568299,
0.03423070651721495,
0.8367475724267764,
-0.0318452899786998,
0.6173345251393207... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -2.8666666666666663,
"target_ratio": 0.97,
"target_value": -2.7806666666666664
} | 17 |
-7444640958829526003 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 3], [8, 1, 2, 4], [2, 3, 4, 5, 6], [5, 6, 7], [0, 1, 4, 5, 6, 8], [0, 2, 3, 4, 6, 7], [0, 3, 5, 6, 8], [0, 8, 2, 3], [8, 0, 6, 7], [0, 3, 4, 5], [3, 4, 5, 7, 8]]} | {"states": [475, 502], "expectation_value": -1.6115012292183144, "params": [[-0.3753], [0.3679]], "bitstrings": ["000100100", "000001001"], "total_optimization_steps": 40, "probabilities": [0.006915104998732121, 0.007344744626100474], "optimization_time": 6.066299915313721} | 0.2833333333333333 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.35 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.16666666666666669 * (Z(2) @ Z(3)) + 0.11666666666666667 * (Z(4) @ Z(1)) + 0.16666666666666669 * (Z(4) @ Z(8)) + 0.21666666666666667 * (Z(4) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.466666666666667, -2.466666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.4499999999999993, "smallest_bitstrings": ["001001001", "000001001"], "largest_eigenvalue": 11.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(-3.1795341637215273) q[8];
cx q[1], q[8];
cx q[1], q[3];
rz(0.014257248145070501) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(0.07308094561410439) q[2];
cx q[1], q[2];
cx q[1], 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": []} | [
"ZIIIIIIZI",
"IIIIIZIZI",
"ZIIIIZIII",
"IIIIIIZZI",
"ZIIIIIZII",
"IIIIIZZII",
"IIIIZIIZI",
"ZIIIZIIII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZIZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIIZI",
"ZIZIIIIII",
"IIZIIZIII",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"... | [
0.2833333333333333,
0.16666666666666666,
0.35,
0.08333333333333333,
0.16666666666666666,
0.16666666666666669,
0.11666666666666667,
0.16666666666666669,
0.21666666666666667,
0.16666666666666666,
0.03333333333333333,
0.13333333333333336,
0.23333333333333334,
0.05,
0.21666666666666667,
0.... | 0.974037 | [
-3.1795341637215273,
0.014257248145070501,
-0.18168720437053829,
0.07308094561410439,
0.0025451485099977685,
-0.015136752884726452,
-0.0071164023832348405,
0.03527973934831589,
0.03840467585480603,
0.1241717289597481,
-0.009109618233505154,
2.3148263199693346,
0.012211249459974604,
-0.0779... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -2.466666666666667,
"target_ratio": 0.97,
"target_value": -2.3926666666666665
} | 211 |
dc72488dd6090670edbeccc77e6da35f | 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": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 6, "so... | {"states": [15, 1], "expectation_value": -0.43585092168246287, "params": [[0.0723, 0.0695], [-0.059000000000000004, -0.0606]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.04154696519303769, 0.04404388994556869], "optimization_time": 1.4778234958648682} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + 0.25 * Z(2) + 0.75 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.022458364995426305) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.7680783155629591) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-1.601733329848004) q[3];
cx q[1], q[3];
rz(-0.5097096949881657) q[1];
rx(-1.660495736858362) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"IZIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
-0.25,
0.5,
-0.5,
-1.5,
-0.75,
-1.25,
-0.25,
0.5,
0.25,
0.75
] | 0.981681 | [
-0.022458364995426305,
1.7047053329317832,
-1.7680783155629591,
-1.601733329848004,
-2.8853817213992103,
-0.5097096949881654,
1.464742343611176,
1.1540289150876992,
-1.6604957368583617,
0.003138072776439696,
1.489664131891325,
-1.1346427705466027,
-1.409100124374533,
-1.1761233738238577,
... | {
"n_parameters": 18,
"n_qubits": 5,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 245 |
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