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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5a1f4c0428a11f53f00fec7780697090 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [23, 3], "expectation_value": -14.458346250095168, "params": null, "bitstrings": ["1101000", "1111100"], "total_optimization_steps": 56, "probabilities": [0.2784160684522576, 0.32931099425417054], "optimization_time": 80.75792145729065} | -2.5 * (Z(0) @ Z(1)) + -3.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.5 * (Z(3) @ Z(4)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -2.0 * Z(1) + -2.0 * Z(0) + -2.5 * Z(4) + -2.5 * Z(3) + 1.5 * Z(2) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.6263656503479739) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.261165806836198) q[4];
cx q[1], q[4];
cx q[0], q[4];
cx q[1], q[3];
rz(0.261165806836198) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(0.12101517803472463) q... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIZIZI",
"IIIZIIZ",
"IIZZIII",
"IIIIZZI",
"IIIIZIZ",
"IIZIZII",
"IIIZZII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IZIIIII"
] | [
-2.5,
-3,
-2.5,
-3,
1,
1.5,
1,
0.5,
-3,
-2.5,
-1,
-2,
-2,
-2.5,
-2.5,
1.5,
0.5,
0.5
] | 0.53971 | [
0.6263656503479739,
0.261165806836198,
0.12101517803472463,
0.15189681694565338,
0.3380947796689693,
1.99238386714047,
1.2268632369201091,
1.1680062610430146
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 203 |
-7461145682628880774 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 4, 6], [0, 4, 6, 7, 8], [0, 1, 4, 6, 7], [8, 1, 4, 7], [0, 1, 2, 3, 4, 5, 8], [1, 2, 3, 4, 5, 6, 8], [0, 2, 3, 5, 7], [0, 1, 3, 5, 6, 8], [0, 1, 2, 5, 7]]} | {"states": [254, 487], "expectation_value": -1.3032094896078676, "params": [[-0.4791], [0.44970000000000004]], "bitstrings": ["100000001", "000011000"], "total_optimization_steps": 50, "probabilities": [0.008442494799850396, 0.008833486599355204], "optimization_time": 7.134840488433838} | 0.19047619047619047 * (Z(0) @ Z(3)) + 0.13095238095238093 * (Z(4) @ Z(3)) + 0.20714285714285716 * (Z(4) @ Z(0)) + 0.14047619047619048 * (Z(6) @ Z(3)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.20714285714285716 * (Z(6) @ Z(4)) + 0.05 * (Z(7) @ Z(3)) + 0.2 * (Z(7) @ Z(0)) + 0.18333333333333335 * (Z(7) @ Z(4)) + 0.1 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.8476190476190473], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["000011000"], "largest_eigenvalue": 8.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-1.0672439544519504e-06) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(-5.330755835882856e-07) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-4.885565134840073e-07) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(5.4165... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IIZIIZIII",
"IIZIIIIIZ",
"IIZIZIIII",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"... | [
0.19047619047619047,
0.13095238095238093,
0.20714285714285716,
0.14047619047619048,
0.21666666666666667,
0.20714285714285716,
0.05,
0.2,
0.18333333333333335,
0.1,
0.08095238095238094,
0.10714285714285715,
0.18095238095238095,
0.10714285714285715,
0.13333333333333333,
0.0809523809523809... | 0.933783 | [
-0.0000010672439544519504,
-5.330755835882856e-7,
-4.885565134840073e-7,
5.416536157499378e-8,
-1.5707975697078835,
-7.438679011927694e-7,
5.720885461934104e-7,
1.7142818851584459e-7,
-6.363692966670839e-7,
-6.679375082104665e-7,
-2.2878959813507915e-7,
-0.5502196378295695,
-6.44400314423682... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -1.8476190476190473,
"target_ratio": 0.97,
"target_value": -1.792190476190476
} | 500 |
-2692663721775254224 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1], [0, 8, 2], [2, 3, 4, 7], [8, 4], [8, 5], [3, 6]]} | {"states": [478, 504], "expectation_value": -0.7188309894911927, "params": [[-0.3282], [0.3178]], "bitstrings": ["000100001", "000000111"], "total_optimization_steps": 40, "probabilities": [0.00631901822286591, 0.006335937868886835], "optimization_time": 1.5481939315795898} | 0.5 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.583333333333333, -2.583333333333333, -2.583333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["000100001", "000000111", "110011100"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.21368102071230427) q[0];
h q[1];
ry(-0.8365433786104083) q[1];
h q[2];
ry(1.1724415387981126) q[2];
h q[3];
h q[4];
ry(-0.7346865163986053) q[4];
h q[5];
ry(-0.18783218235630042) q[5];
h q[6];
ry(-0.18783218235630042) q[6];
cx q[3], q[6];
ry(0.187832182356... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(x0) q[8];
... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIIIZIZ",
"IIIIIZZII",
"ZIIIZIIII",
"IIIIZIZII",
"IIIIZZIII",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"ZIIZIIIII",
"IIZIIZIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IZIIIIIII",
"IIIZIIIII",
"... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0,
0.16666666666666674,
0.16666666666666666,
0.29166666666666663,
0.125,
... | 0.975348 | [
1.1724415387981126,
-0.37566436471260084,
1.4831057580330378,
-1.6730867572208166,
-1.4693730327972105,
0.1019589705756815,
-0.7790459870784905,
0.8164304677546135,
-0.8483455077280122,
0.5773000671263295,
-0.2102889164254818,
-0.42736204142460854,
0.013368210730224275,
0.00246486571189877... | {
"n_parameters": 69,
"n_qubits": 9,
"optimal_eigenvalue": -2.583333333333333,
"target_ratio": 0.97,
"target_value": -2.505833333333333
} | 18 |
-2545224297446918027 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 6], [0, 4, 5, 6], [0, 1, 2, 5], [0, 2, 6], [2, 4, 6], [2, 3]]} | {"states": [19, 116], "expectation_value": -0.2710824803214846, "params": [[-0.17270000000000002], [0.1711]], "bitstrings": ["1101100", "0001011"], "total_optimization_steps": 20, "probabilities": [0.011296218516364956, 0.011302312961525824], "optimization_time": 1.022104263305664} | 0.5 * (Z(1) @ Z(6)) + 0.25 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.25 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.083333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["0001011"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[1];
rz(-1.8234767443653728) q[1];
cx q[6], q[1];
cx q[6], q[0];
rz(1.5936325402688316e-08) q[0];
cx q[6], q[0];
cx q[1], q[0];
rz(6.295439302192398e-09) q[0];
cx q[1], q[0];
cx q[6], q[4];
rz(1.593632540... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZI",
"ZIIIIIZ",
"IIIIIZZ",
"ZIZIIII",
"IIZIIIZ",
"ZZIIIII",
"IZIIIZI",
"IZIIIIZ",
"IZZIIII",
"ZIIIZII",
"IIIIZZI",
"IIIIZIZ",
"IIZIZII",
"IZIIZII",
"IIIZZII",
"ZIIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.25,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.08333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.5,
0.45833333333333326,
0.1250000000000001,
0.41... | 0.7875 | [
-1.8234767443653728,
1.5936325402688316e-8,
6.295439302192398e-9,
-6.352000471796185e-8,
-7.982841994650266e-8,
-1.5707963973126218,
1.5707964035425284,
-1.5707962287337656,
-1.570796319273236,
-1.5707964418660827,
1.5707964238037313,
1.5707964152956997
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -2.083333333333333,
"target_ratio": 0.97,
"target_value": -2.020833333333333
} | 277 |
9095e01fec1c7dde28fd91275bba3fc5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capac... | {"states": [0, 1], "expectation_value": -23.39077403169714, "params": [0.0055000000000000005, -0.1341, 0.0005, -0.2793, 0.001, -0.3004, 0.0058000000000000005, -0.2612, 0.002, -0.2864, 0.0015, -0.2858, 0.0048000000000000004, -0.2606, 0.0009000000000000001, -0.29450000000000004, -0.0, -0.1988, 0.004200000000000001, -0.21... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + 3.5 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(5)) + -1.5 * (Z(2) @ Z(1)) + -1.75 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(8)) + -0.75 * (Z(2) @... | 5 | 10 | 2 | {"smallest_eigenvalues": [-26.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 21.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.09564260330569678) q[0];
rz(-0.11947269093081836) q[0];
rx(0.07614928957664584) q[1];
rz(-0.2704508912661554) q[1];
rx(-0.026609943792561118) q[2];
rz(-0.5427004294333084) q[2];
rx(0.03955979205352422) q[3];
rz(-0.22903605188007425) q[3];
rx(0.040024455841869186)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIIZZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IZIIIIIIIZ",
"IZIZIIIIII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"IIIIIIIZZI",
"IIIZIIIZII",
"IZIIIIIZII",
"ZIIIIIIZII",
"IIIIIIZIZI",
"IIIZIIZIII",
"IIIIIZIIZI",
"IIIIZZIIII",
"IZIIIZIIII",
"IIIIIZIZII"... | [
-1,
-1.25,
-0.5,
-0.75,
-0.75,
-0.75,
-1,
-0.5,
3.5,
-1.25,
-1.5,
-1.75,
-0.25,
-0.75,
-1,
-0.5,
-1.5,
-2,
-1,
-1,
-1,
-0.75,
-0.25,
-1.5,
-1.25,
-3,
-0.25,
0.75,
-0.75,
0.5,
1.5,
1.75,
-1,
2.25,
-1.75
] | 0.974618 | [
-0.09564260330569677,
-0.21857075753239683,
0.07614928957664584,
-0.24025196278746747,
-0.02660994379256111,
-0.5793731494221837,
0.03955979205352424,
-0.22876854625696147,
0.04002445584186917,
-0.1712379308782954,
0.1125707205482148,
-0.3563065107173549,
-0.07669603442675463,
-0.309073460... | {
"n_parameters": 92,
"n_qubits": 10,
"optimal_eigenvalue": -26.25,
"target_ratio": 0.97,
"target_value": -25.4625
} | 6 |
3c01ab65d1a16535fdf3b1017527aaee | 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": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "s... | {"states": [1, 255], "expectation_value": -0.3713855824474349, "params": [[0.061700000000000005, 0.0752], [-0.0402, -0.07010000000000001]], "bitstrings": ["111111110", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0031304845010902, 0.0031740731428303443], "optimization_time": 3.2392044067382812} | -0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(1) + ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000000", "111111110", "111101110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.09647183539808978) q[0];
rz(0.012969763073826357) q[0];
rx(0.13224787220138887) q[1];
rz(-0.2204894045894079) q[1];
rx(0.11762480440877823) q[2];
rz(-0.28305630692413697) q[2];
rx(-0.17770753533360978) q[3];
rz(0.09791137727854604) q[3];
rx(0.014884824492929506) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIIIIIZZI",
"IIIIIZZII",
"IIZZIIIII",
"IIZIIZIII",
"IIZIZIIII",
"IZIZIIIII",
"IZIIIIZII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
-0.25,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
0.5,
-0.25,
0,
-0.25,
0,
-0.25,
-0.25,
-0.5,
0.5,
0.5,
0.25
] | 0.976815 | [
-0.09647183539808979,
0.05130335289939203,
0.13224787220138884,
-0.2779581639629566,
0.11762480440877826,
-0.18992485692879646,
-0.17770753533360983,
0.09130083512832282,
0.014884824492929508,
0.2343849771601969,
-0.11903788167930729,
-0.11736341591321332,
-0.30761109139788007,
0.067742524... | {
"n_parameters": 164,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 9 |
b7eaf66301f9b7c8d4f947444be4cce6 | 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": 4, "target": 5}, {"source": 6, "target": 7},... | {"states": [1967, 1983], "expectation_value": -6.929564786955221, "params": [0.6157, 0.38970000000000005, 0.3612, 1.1786, 0.6071000000000001, 0.6933, 0.15910000000000002, 0.9778, 0.6424000000000001, 0.8961, -0.2696, 0.6756, 0.6382, 0.9928, -0.5328, 0.6289, -0.6247, 0.8921, -0.0031000000000000003, 0.6409, -0.6612, 1.102... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9) + 0.5 * Z(3) + 0.5 * Z(2) + -0.5 * Z(4) | 6 | 11 | 2 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00001000000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.578546460595844) q[0];
rz(1.5649484018205557) q[0];
rx(1.1542170140655326) q[1];
rz(1.581686139949353) q[1];
rx(2.1475358534579922) q[2];
rz(1.6795510659400366) q[2];
rx(-3.0641522994748227) q[3];
rz(1.5784891660204154) q[3];
rx(0.3578417314936647) q[4];
rz(2.1032... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIZZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"ZIIIIIIIIII",
"IZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII"
] | [
-1,
-1,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970109 | [
1.5785464605958441,
-0.005847924974340831,
1.1542170140655326,
0.010889813154456019,
2.1475358534579927,
0.10875473914514013,
3.219033007704764,
0.007692839225518923,
0.35784173149366477,
0.532490951004535,
-3.076591709036881,
0.44428642196002094,
0.04260169475956817,
0.8997983020971242,
... | {
"n_parameters": 55,
"n_qubits": 11,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 291 |
93141c357d164fcf2a36ba666f8f01e3 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 3}, {"source": 1, "target": 3}]} | {"states": [2973, 3485], "expectation_value": -7.595739532765844, "params": null, "bitstrings": ["010001100010", "001001100010"], "total_optimization_steps": 100, "probabilities": [0.05944826069420597, 0.8620316846393108], "optimization_time": 256.16690373420715} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 4 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.75, "smallest_bitstrings": ["100100001010", "001001100010", "010010100001", "010010001100", "001001010100", "100100010001"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5706) q[11];\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];... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"IIZIIIIIZ... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1.25,
1.25,
1.25,
1,
1,
1,
1.25,
1.25,
1.25
] | 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 |
98604329cd124f4df58d3d5765117c65 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [141, 173], "expectation_value": -67.96548411249398, "params": [-0.0023, 1.0842, 1.5788, -0.0, 0.0024000000000000002, 1.1698, 0.8927, 0.54, 0.7342000000000001, 0.5301, 1.5833000000000002, 0.0024000000000000002, 1.5877000000000001, 0.27990000000000004, 0.6759000000000001, 0.5571, 1.5843, 0.0651, -0.0024000000... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(8)) + 13.0 * Z(1) + -5.5 * Z(0) + 14.5 * Z(4) + 6.5 * Z(3) + 13.0 * Z(5) + 11.0 * Z(... | 18 | 9 | 2 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["101010010"], "largest_eigenvalue": 157.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.20062236204873107) q[0];
rz(1.3712538197015895) q[0];
rx(1.8302782857183006) q[1];
rz(-0.2657356506273612) q[1];
rx(0.11973761203886463) q[2];
rz(1.2201230875836009) q[2];
rx(1.716472714190073) q[3];
rz(0.23516638509685314) q[3];
rx(0.15319874900109248) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IIIIIIZII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
13,
-5.5,
14.5,
6.5,
13,
11,
9,
20,
-9.5
] | 0.970721 | [
-0.20062236204873107,
1.3450843505279324,
1.8302782857183006,
-0.2657356506273612,
0.11973761203886463,
1.2201230875836009,
1.716472714190073,
0.23516638509685314,
0.15319874900109248,
0.30550137128117705,
1.7092079646750242,
1.9417163504497288,
0.4174811122498052,
0.2723866387149809,
0.... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -81,
"target_ratio": 0.97,
"target_value": -78.57
} | 14 |
436006815442743747 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [2, 6], [1, 3], [0, 2], [0, 5], [0, 6], [3, 4], [2, 5], [0, 3], [3, 6], [3, 5], [2, 4]]} | {"states": [7, 71], "expectation_value": -2.6093238329212713, "params": null, "bitstrings": ["1111000", "0111000"], "total_optimization_steps": 52, "probabilities": [0.27738304016061543, 0.33554550404198924], "optimization_time": 67.09288191795349} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["0100111", "0011000", "1100111", "1000111", "0111000", "1111000", "1011000", "0000111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-0.5100195795605429) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.5100195795605429) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.5100195795605429) q[3];
cx q[4], q[3];
cx q[1], q[3];
rz(-0.5100195795605429) q[3];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], 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... | [
"IIZIIZI",
"IIZIZII",
"ZIIIZII",
"IIZZIII",
"IIIZIZI",
"ZIIZIII",
"IIIIZIZ",
"ZIIIIIZ",
"IIIZIIZ",
"IZIIZII",
"IZIZIII",
"IZIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.521991 | [
-0.5100195795605429,
-1.989192815723658e-8,
0.6516874368758971
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 95 |
1999562742756202320 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3], [2, 7], [2, 6], [2, 4], [3, 5], [0, 1]]} | {"states": [155, 164], "expectation_value": -0.025046822214810957, "params": [[-0.042800000000000005], [0.0492]], "bitstrings": ["01100100", "01011011"], "total_optimization_steps": 10, "probabilities": [0.0041044841175538254, 0.0041044841175538254], "optimization_time": 1.4154183864593506} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["10011011", "01100100", "10100100", "01011011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.0471977143592075) q[0];
cx q[1], q[0];
rz(5.523453694422642e-08) q[0];
rx(0.7853980995815513) q[0];
rz(5.523453694422642e-08) q[1];
rx(0.7853980995815513) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.0471977143592075) q[2];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[2], q[7];
rz(x0) q[7];
cx q[2], q[7];
cx q[2], q[6];
rz(x0) q[6];
cx q[2], q[6];
cx q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZII",
"ZIIIIZII",
"IZIIIZII",
"IIIZIZII",
"IIZIZIII",
"IIIIIIZZ",
"IIIIZIII",
"IIIIIZII",
"ZIIIIIII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIIZI",
"IIIIIIIZ"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.541266 | [
-1.0471977143592075,
5.523453664267814e-8,
0.7853980995815512
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 98 |
1a8155b224db54664a68f055f033253f | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 1, "target": 3}]} | {"states": [61367, 60855], "expectation_value": -17.567057762136248, "params": [0.5298, 0.5294, 0.5234, 0.5176000000000001, 0.5326000000000001, 0.534, -0.0051, 0.0027, 0.5298, 0.5378000000000001, 0.6833, 0.6836, 0.3231, 0.2896, 0.4333, 0.5229, 0.533, 0.5302, 0.0028, -0.0005, 0.4519, 0.4827, 0.5559000000000001, 0.5453, ... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7)... | 13 | 16 | 3 | {"smallest_eigenvalues": [-18.499999999999986], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.499999999999947, "smallest_bitstrings": ["0001001001001000"], "largest_eigenvalue": 63.50000000000023} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(-1.7976347027261054e-08) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-1.7976347027261054e-08) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-1.7976347027261054e-08) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(-1.7976347027261054e-08) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 3}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIZZIIIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.... | 0.891892 | [
-1.7976347027261054e-8,
-1.2399449651503569e-8,
-1.5707962915080487,
-1.5707964004599495,
1.5707963785331627,
-1.5707963408864278,
-1.5707964034514517,
1.5707963010445554
] | {
"n_parameters": 8,
"n_qubits": 16,
"optimal_eigenvalue": -18.49999999999997,
"target_ratio": 0.97,
"target_value": -17.944999999999972
} | 280 |
3bcfe4648282d1b3b76d6f42e87e5c5d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 17, "source": 1, "target": 5}, {"weight": 7... | {"states": [126, 118], "expectation_value": -14.412893373508862, "params": [[0.0193, -0.0506], [-0.0287, 0.0601]], "bitstrings": ["10000001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.0068314113334877365, 0.007989961773908316], "optimization_time": 4.030980825424194} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(4) @ Z(5)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 169.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.4983893330425997) q[1];
cx q[0], q[1];
ry(0.4983893330425997) q[1];
cx q[0], q[1];
ry(1.066076181721017) q[0];
ry(-0.5938713995022797) q[1];
h q[2];
ry(1.5402154026626123) q[2];
h q[3];
ry(1.5402154026626123) q[3];
ry(-0.17623757719026006) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
12,
4.5,
23,
19,
16,
3.5,
18.5,
13
] | 0.996974 | [
-1.5938656292948508,
-1.3287538149981546,
1.5402154026626123,
-0.9967786660851994,
0.7888739065478406,
-0.13160986921296364,
-0.42930010710070565,
0.5544045503463523,
-0.32914258480314823,
0.19808762382699582,
-0.14239960728529294,
0.027159174901727368,
0.17468980324708977,
-0.025156201310... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
cff73883695747c1d773b9b813418e3e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "targ... | {"states": [480, 16352], "expectation_value": -30.22702678759813, "params": [[[-0.0028, 0.003], [-0.0027, 0.0017000000000000001], [-0.0028, 0.004200000000000001], [-0.0021000000000000003, 0.0027], [1.4767000000000001, 0.0004], [0.3171, 0.0027], [0.0029000000000000002, 0.0073], [-0.0021000000000000003, 0.009000000000000... | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(1)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(8)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 ... | 2 | 14 | 1 | {"smallest_eigenvalues": [-34.499999999999744], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.4999999999999, "smallest_bitstrings": ["00000000011111"], "largest_eigenvalue": 40.50000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rx(0.043558817757861745) q[0];
rz(0.08791361440143712) q[0];
rx(-0.13871203084759542) q[1];
rz(-0.08018190756428928) q[1];
rx(0.043558817757861745) q[2];
rz(-0.16117503639048042) q[2];
rx(0.1468804107321761) q[3];
rz(-0.14747630531344702) q[3];
rx(0.4333467458714595) 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[... | {"node": 13} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIIIZZ",
"IIIIIIIIIZIZII",
"IIIIIIIIIZIIIZ",
"IIIIIIIIIZIIZI",
"IIIIIIIIIIZZII",
"IIIIIIIIIIZIIZ",
"IIIIIIIIIIZIZI",
"IIIIIIIIIZZIII",
"IIIIIZIIZIIIII",
"IIIIIZIZIIIIII",
"IIIIIIIZZIIIII",
"IIIIIZZIIIIIII",
"IIIIIIZIZIIIII",
"IIIIIIZZIIIIII"... | [
-2.5,
-2.5,
0.5,
-2.5,
0.5,
-1.5,
-2.5,
0.5,
0.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
-2.5,
1,
-2.5,
1,
0.5,
0.5,
-3,
1.5,
-3,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2.5,
1.5,
-2,
-2.5
] | 0.973492 | [
0.043558817757861745,
0.08791361440143712,
-0.13871203084759542,
-0.08018190756428928,
-0.16117503639048042,
0.1468804107321761,
-0.14747630531344702,
0.4333467458714595,
-0.0253490640300751,
-0.030890976097059337,
-0.04653344168024489,
0.2440745999431488,
-0.10954156265730416,
3.070933319... | {
"n_parameters": 23,
"n_qubits": 14,
"optimal_eigenvalue": -34.499999999999744,
"target_ratio": 0.97,
"target_value": -33.46499999999975
} | 18 |
b2c25a19a038d07471a5450910ba4971 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [6, 10], "expectation_value": -0.4272305859402657, "params": [[-0.0806, -0.079, -0.065], [0.078, 0.07880000000000001, 0.0727]], "bitstrings": ["11001", "10101"], "total_optimization_steps": 10, "probabilities": [0.046709358589835104, 0.047490519149646145], "optimization_time": 2.527120351791382} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.25, "smallest_bitstrings": ["11100", "11010", "11001", "10101"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIZZI",
"IZIIZ",
"ZIIZI",
"IZZII",
"ZIZII",
"ZZIII",
"ZZZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-1,
-0.5,
-0.25,
-0.25,
-0.25
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
e877d3b2f9804d2377a79bff7b887b67 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [118, 110], "expectation_value": -19.555291177715404, "params": [[-0.0388, 0.0014], [0.0806, 0.0731]], "bitstrings": ["10001001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.012214568525439555, 0.014255966454715751], "optimization_time": 3.1315762996673584} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 8.5 * Z(0) + 12.0 * Z(2) + 7.0 * Z(3) + 1.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 137.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.017981262724299375) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.017981262724299375) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.017981262724299375) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.017981262724299375) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
8.5,
12,
7,
1,
13,
16.5,
7.5
] | 0.970765 | [
0.017981262724299375,
1.212573707341711,
-1.1550771248156908,
1.124609087092233,
-1.1078500346923374,
1.1151316255952932,
0.7676345067154235,
1.0291231689972888,
-1.2517005821613711,
-0.5279065003893286,
0.022474379738371658,
0.4465780795699846,
-0.8665322393723809,
0.03468356842517979,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -64,
"target_ratio": 0.97,
"target_value": -62.08
} | 63 |
613ef125dc4e28340a6427c0ac6373f5 | max_flow | qaoa | {"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": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 3, "target": 2}, {"capacity": 3, "source": 3, "target": 6... | {"states": [60413, 58364], "expectation_value": -23.37437173133828, "params": [[-0.10650000000000001, 0.0164, 0.0196], [0.1371, 0.1254, 0.1404]], "bitstrings": ["0001010000000010", "0001110000000011"], "total_optimization_steps": 20, "probabilities": [0.0005448599163573003, 0.00062341375536707], "optimization_time": 19... | 0.875 * (Z(0) @ Z(1)) + 0.875 * (Z(2) @ Z(1)) + 0.4375 * (Z(2) @ Z(0)) + 2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(8)) + 1.0 * (Z(10) @ Z(11)) + 3.0 * (Z(12) @ Z(11)) + 1.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(13)) + 1.0 * (Z(14) @ Z(13... | 1 | 16 | 3 | {"smallest_eigenvalues": [-37.62499999999959], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.74999999999983, "smallest_bitstrings": ["0001110000000011"], "largest_eigenvalue": 84.37500000000038} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(2.33246591973068) q[0];
rz(-1.4797298029163883) q[0];
rx(3.034262380501139) q[1];
rz(-1.3671634194239497) q[1];
rx(2.844954897000549) q[2];
rz(-0.1507424939227966) q[2];
rx(0.09303229139166129) q[3];
rz(-0.1919721744733692) q[3];
rx(0.09303229139166129) q[4];
rz(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIZZIIIIII",
"IIIIIIIZZIIIIIII",
"IIIIIIIZIZIIIIII",
"IIIIIIZIZIIIIIII",
"IIIIIIZIIZIIIIII",
"IIIIIIZZIIIIIIII",
"IIIIZZIIIIIIIIII",
"IIIZZIIIIIIIIIII",
"IIIZIZIIIIIIIIII",
"IIZIIIIIIIIIZIII",
"IZZIIIIIIIIIIIII",
"IZIIIII... | [
0.875,
0.875,
0.4375,
2,
1,
0.5,
2,
1,
1,
1,
3,
1.5,
-0.5,
1,
-1,
1,
-1,
2,
-1,
0.875,
-2,
-2,
-0.5,
0.4375,
-1,
-1,
0.875,
3.5,
1.75,
1.75,
9,
4.5,
3,
6,
6,
3,
9,
0.5,
-0.75,
1,
1,
-1.5,
-0.75
] | 0.975514 | [
2.33246591973068,
-0.9324153315878805,
3.034262380501139,
-1.3671634194239497,
2.844954897000549,
-0.1507424939227966,
0.09303229139166129,
-0.1919721744733692,
0.48148107538044876,
0.2220551215114627,
1.071389716391299,
2.8122451934812642,
-0.11827595875594393,
2.998101331925135,
-1.094... | {
"n_parameters": 40,
"n_qubits": 16,
"optimal_eigenvalue": -37.624999999999694,
"target_ratio": 0.97,
"target_value": -36.496249999999705
} | 33 |
15981867526b451292338ffade4ee93e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [92, 60], "expectation_value": -0.8658761628318189, "params": [0.7899, 0.1405, 0.7984, 0.1646, 0.8013, 0.0627, 0.8078000000000001, 0.1027, 0.7972, -0.0438, 0.2944, -0.2511, 0.29250000000000004, 0.2579, 0.7857000000000001, 0.0045000000000000005, 0.7952, 0.0044, 0.8079000000000001, 0.0036000000000000003, 0.803... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.2... | 18 | 7 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000011", "0101001", "0010110"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0615767063417223) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.0615767063417223) q[2];
cx q[1], q[2];
h q[3];
cx q[0], q[3];
rz(1.0615767063417223) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(1.0615767063417223) q[2];
cx q[3], 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": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IZIZIII",
"IZIIIZI",
"ZIZIIII",
"ZIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.5,
0,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5
] | 0.725469 | [
1.0615767063417223,
-0.31295547132631285,
-0.01907240403825381,
-2.5548485838209922,
-0.5424104057174817,
-0.020414202526432848,
0.19890450634838813,
1.7267918799232351
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 234 |
36ff2850f9ca4956ff6a75a44d9ad0dc | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [17, 81], "expectation_value": -3.4775285500355473, "params": [0.7978000000000001, 0.0129, 0.1831, 0.4466, 0.8046000000000001, 0.1384, -0.012, 0.5224, 0.1837, 0.5082, -0.006500000000000001, -0.3884, 0.7967000000000001, -0.0983, 0.7986000000000001, 0.0012000000000000001, 0.18680000000000002, 0.01, 0.8014, 0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(6) + -1.0 * Z... | 3 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cz q[10], q[9];
rx(-0.13175179733157877) q[10];
h q[10];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"ZIIIIZI",
"IIIZZII",
"IZIIZII",
"IIZZIII",
"ZIZIIII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-1,
-1
] | 0.076923 | [
1.5707965843928602,
-6.250215574404665e-8,
0.4800264076414042,
0.30762598108994876,
1.570796582306965,
0.22113488257277297,
-3.013440284091102e-7,
-1.5707961608689993,
-0.12593085181051042,
-0.13175179733157877,
-0.580708177958514,
-0.48002629318198703,
-1.5707960986992084,
-0.843060424767... | {
"n_parameters": 28,
"n_qubits": 11,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 498 |
eaf152c9366c1fc70b9994ec462b6b4c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 19, "source": 0, "target": 2}, {"weight": 12, "source": 0, "target": 3}, {"weight": 1... | {"states": [123, 122], "expectation_value": -18.93303768743803, "params": [[0.031200000000000002, 0.006200000000000001], [-0.0623, -0.0524]], "bitstrings": ["10000100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.008642152240792362, 0.010738276387435712], "optimization_time": 3.4181787967681885} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 167.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.6888090260409325) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.6888090260409325) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.6888090260409325) q[1];
cx q[2], q[1];
rz(0.6888090260409325) q[3];
cx q[0], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
16.5,
8.5,
16.5,
20.5,
12.5,
5,
20.5,
7.5
] | 0.97417 | [
0.6888090260409325,
-0.8365933516710795,
0.4055984428236141,
-0.5984647884441731,
0.6289659276331325,
0.03651754152469934,
-0.5975771749548225,
-0.20606642446438989,
0.7006882864312995,
-0.769960966506855,
-1.1910601522991142,
-0.06878545903780295,
-0.25779646726100014,
0.6591243819959086,... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 36 |
6e37aef8e2f10c2778e28c9dc9b1affa | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [5965, 5981], "expectation_value": -2.5224966773954676, "params": [2.9973, 0.0081, 0.0023, 0.0008, 2.9851, 0.0037, 2.8049, 0.006900000000000001, 2.1567000000000003, 0.0077, 0.7366, 0.0055000000000000005, 2.9945, 0.0074, 1.1417000000000002, 0.0028, 1.5741, 0.0066, 3.0014000000000003, 0.0077, 3.0061, 0.0004, 0... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(5) @ Z(2) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(2) @ Z(3... | 18 | 13 | 1 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.812... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.2775732297863516) q[0];
rz(-0.3305087434857717) q[0];
ry(0.6345449181272201) q[1];
rz(0.15931776173284024) q[1];
cx q[1], q[0];
ry(0.17013468057679076) q[0];
rz(0.23989733092694884) q[0];
ry(-0.09336591035330995) q[1];
rz(-0.3558798878985864) q[1];
ry(0.6843886038... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIIIIIZZII",
"IIIIIIIIZIZII",
"IIIIIIIZIIZII",
"IIIIIIIIZZIII",
"IIIIIIIZIZIII",
"IIIIIIIZZIIII",
"IIIIIIIIZZZII",
"IIIIIIIZIZZII",
"IIIIIIIZZIZII",
"IIIIIIIZZZIII",
"IIIIIIIZZZZII",
"IIIIIIIIIIZIZ",
"IIIIIIZIIIIIZ",
"IIIIIZIIIIIIZ",
"IIIIZIIIIIIIZ",
"IIIIIIZIIIZ... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
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... | 0.970122 | [
0.2775732297863516,
-0.3305087434857717,
0.6345449181272201,
0.15931776173284024,
0.6843886038977415,
0.19151158251558112,
0.03791266297523649,
-0.4190659203460903,
-0.17971102873783695,
-0.5348340876475711,
-0.07570081925425122,
-0.5629568151206856,
1.1222819806574604,
0.4239342889584007,... | {
"n_parameters": 144,
"n_qubits": 13,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 91 |
90caccd5a9bc4a2ae486cd28f2a54684 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [215, 214], "expectation_value": -65.40508895965755, "params": [0.2944, 0.4151, 0.9938, 0.0456, 0.9957, -0.0031000000000000003, 0.2801, -0.0732, 0.9986, -0.0033, 0.1022, 0.09920000000000001, 0.8384, -0.0424, 0.9972000000000001, 0.12430000000000001, 0.5043, 0.2546, 0.2914, 0.4298, 0.9379000000000001, -0.0594,... | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(6) @ Z(0)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(8)) + 5.0 * (Z(7) @ Z(8)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(5) @ Z(7)) + 9.5 * Z(0) + 6.0 * Z(1) + 17.5 * Z(2) + 7.0 * Z(4) + 0.5... | 4 | 9 | 3 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.0, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 136.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.020582906481402506) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(-0.020582906481402506) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.020582906481402506) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.020582906481402506) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIIZZIII",
"ZIIIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IZIZIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIZIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
9.5,
6,
17.5,
7,
0.5,
9.5,
17,
11.5,
-2.5
] | 0.970022 | [
-0.020582906481402506,
1.3349078355280608,
-0.4290584674428706,
-2.533473561690379,
-1.7041236227506031,
1.5211978007099474,
-1.5217753188258623,
-0.7462250508281225,
1.6316773768793364,
0.48049263034224793,
0.04173615621602083,
0.43936730841378935,
-1.0733627665097956,
0.9631690412671038,... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 59 |
2c03cae97f052c1bed9399de174a2172 | 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": [1365, 341], "expectation_value": -94.25492155708118, "params": [[-0.012, 0.2785, -0.0666, 0.5015000000000001, 0.095, 0.5051, -0.0023, 0.4999, 0.030600000000000002, 0.498, 0.2358, 0.3153], [0.0027, 0.2772, -0.0345, 0.5063, 0.09040000000000001, 0.5078, -0.0023, 0.5028, 0.0092, 0.5045000000000001, 0.2314000000... | 8.5 * (Z(0) @ Z(3)) + 8.5 * (Z(2) @ Z(3)) + 8.5 * (Z(4) @ Z(5)) + 8.5 * (Z(1) @ Z(7)) + 8.5 * (Z(8) @ Z(7)) + 8.5 * (Z(9) @ Z(4)) + 8.5 * (Z(10) @ Z(5)) + 8.5 * (Z(10) @ Z(9)) + 8.5 * (Z(11) @ Z(7)) + 8.5 * (Z(11) @ Z(1)) + 6.0 * Z(3) + -4.5 * Z(0) + -4.5 * Z(2) + 8.5 * Z(5) + 2.5 * Z(4) + 15.5 * Z(7) + 3.0 * Z(1) + -4... | 10 | 12 | 4 | {"smallest_eigenvalues": [-132.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -124.0, "smallest_bitstrings": ["111010101010"], "largest_eigenvalue": 146.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.07856129526363931) q[0];
ry(0.24561999544934277) q[1];
ry(-0.022392681812354584) q[2];
ry(1.0172930785057528) q[3];
ry(0.4693212368345391) q[4];
ry(0.17476087078876523) q[5];
ry(-0.06784409822479288) q[6];
ry(1.0836753709744722) q[7];
ry(0.2381773834775786) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIZIIIIIZI",
"IIIZZIIIIIII",
"IIZIIIIZIIII",
"IZIIIIZIIIII",
"IZZIIIIIIIII",
"ZIIIZIIIIIII",
"ZIIIIIIIIIZI",
"IIIIIIIIZIII",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"IIIIZIIIIIII",
"IIIIIIIIIIZI",
"IIIZIIIII... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
6,
-4.5,
-4.5,
8.5,
2.5,
15.5,
3,
-4.5,
8.5,
3.5,
7,
-14
] | 0.971825 | [
0.07856129526363931,
0.24561999544934277,
-0.022392681812354584,
1.0172930785057528,
0.4693212368345391,
0.17476087078876523,
-0.06784409822479288,
1.0836753709744722,
0.2381773834775786,
0.31334688199288246,
-0.09627270777446696,
0.5275336164972365,
0.062157082265984556,
0.008035846660003... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -132,
"target_ratio": 0.97,
"target_value": -128.04
} | 50 |
969dbed488b18fd892982f38c13bf4b6 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.0797554630842506, "params": [[0.1506], [-0.1396]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 20, "probabilities": [2.0937887105502676e-05, 2.0937887105502676e-05], "optimization_time": 14.134155035018921} | 0.25 * (Z(0) @ Z(1)) + -0.00078125 * (Z(2) @ Z(0)) + -0.00078125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006510416666666666 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + -0.0006510416666666666 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0006510416666666666 * (Z(6) @ Z(0)) + 0.000260... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.023871527777748], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0238715277777315, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0105034722222026} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.3713705382512211) q[0];
ry(-0.01880946364669115) q[1];
ry(1.5087879271395181) q[2];
ry(0.05433772567621215) q[3];
ry(1.455555532966253) q[4];
ry(0.03337491665943644) q[5];
ry(2.3308596918773126) q[6];
ry(1.4826171861133974) q[7];
ry(0.06751706760181153) q[8];
ry(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[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.00078125,
-0.00078125,
0.25,
-0.0006510416666666666,
-0.00078125,
-0.0006510416666666666,
-0.00078125,
0.25,
-0.0006510416666666666,
0.00026041666666666666,
-0.0006510416666666666,
-0.0006510416666666666,
0.00026041666666666666,
-0.0006510416666666666,
0.25,
0.00052083333333... | 0.970441 | [
1.3713705382512211,
-0.01880946364669115,
1.5087879271395181,
0.05433772567621215,
1.455555532966253,
0.03337491665943644,
2.3308596918773126,
1.4826171861133974,
0.06751706760181153,
1.588390495568345,
-0.10201825471150508,
1.4130133774218798,
0.08215578763105132,
1.6010445184584388,
-0... | {
"n_parameters": 32,
"n_qubits": 16,
"optimal_eigenvalue": -2.0238715277777355,
"target_ratio": 0.97,
"target_value": -1.9631553819444034
} | 23 |
fcfd54ef615390c036c2590109c0afc6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 4, "source": ... | {"states": [2, 2047], "expectation_value": -32.71729234703915, "params": [[[0.8931, -0.0274], [0.0, -0.029400000000000003], [0.0037, 0.0036000000000000003], [0.008700000000000001, -0.0038], [-0.001, 0.0035], [0.006, -0.0017000000000000001], [-0.00030000000000000003, -0.0023], [0.0082, 0.0024000000000000002], [0.0016, 0... | -1.0 * (Z(0) @ Z(5)) + -1.75 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(9) @ Z(5)) + -1.0 * (Z(9) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -1.75 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(9)) + -0.25 * (Z(11) @ Z(5)) + -0.25 * (Z(11) @ Z(6)) + -0.5 * (Z(11) @ Z(9)) + -2.5 * (Z(11) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + 3.25 * (Z(3)... | 15 | 12 | 4 | {"smallest_eigenvalues": [-33.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.25, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 34.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.15326930737729938) q[0];
ry(0.035763430755590714) q[1];
ry(0.0070229064374921725) q[2];
ry(-0.05490340228331881) q[3];
ry(0.035763430755590714) q[4];
ry(-0.02593630851100761) q[5];
ry(-0.038464657764506846) q[6];
ry(-0.07187830044275868) q[7];
ry(-0.01080524769146... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIZIIIIZ",
"IIIIIZZIIIII",
"IIIIIZIIIIIZ",
"IIZIIIZIIIII",
"IIZIIIIIIIIZ",
"IIIIIIZIIIZI",
"IIIIIZIIIIZI",
"IIZIIIIIIIZI",
"ZIIIIIZIIIII",
"ZIIIIZIIIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIIIZI",
"IIIIIIZIZIII",
"IIIIIIIIZIIZ",
"IIIIIZIIZIII",
"IIZIIIIIZIII",
"IIIIIIIIZIZI",
"ZIIIIIIIZ... | [
-1,
-1.75,
-1,
-0.25,
-1,
-1.5,
-1.75,
-0.5,
-0.25,
-0.25,
-0.5,
-2.5,
-0.5,
3.25,
-1.25,
-0.25,
-0.75,
-1.25,
-1.25,
-1.75,
-0.25,
-0.75,
-2.75,
-0.25,
-0.5,
-1.5,
-0.75,
-1,
-1.5,
-1.25,
-1.5,
-0.25,
-1.5,
-1,
-1.5,
3.25,
-0.25,
-1.25,
-0... | 0.97035 | [
0.15326930737729938,
0.035763430755590714,
0.0070229064374921725,
-0.05490340228331881,
-0.02593630851100761,
-0.038464657764506846,
-0.07187830044275868,
-0.010805247691465516,
-0.0006815808795822345,
0.0668476013488183,
0.11302208093083542,
1.0811506583303134,
0.04133727923987505,
0.0387... | {
"n_parameters": 40,
"n_qubits": 12,
"optimal_eigenvalue": -33.25,
"target_ratio": 0.97,
"target_value": -32.2525
} | 33 |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 110.84747862815857} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
c564307a23461b97da6b6966b1ccdaf8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [3, 67], "expectation_value": -5.784889235380463, "params": [0.33530000000000004, 0.0261, 0.3287, 0.0201, 0.0032, 0.2267, -0.0008, 0.25120000000000003, -0.0057, -0.1615, -0.0044, -0.17700000000000002, -0.0179, 0.24130000000000001, -0.0115, 0.23450000000000001, -0.0115, 0.2412, -0.009300000000000001, 0.2358, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.5 * Z(1) ... | 5 | 7 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0111100"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.321083287877318e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-3.321083287877318e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-3.321083287877318e-08) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-3.321083287877318e-08) q[3];
c... | 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] 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 flo... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"ZIIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1.5,
-1.5,
-1.5,
-1.5,
-0.5,
-1.5
] | 0.692308 | [
-3.321083287877318e-8,
1.5707965246870308,
-1.5707962648569997,
-1.5707960983611948,
1.5707962253726504,
0.011359167424257357,
0.5080458096112247,
-1.3261072837870627,
0.3074400487167398,
-3.1415925855830524
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 253 |
e9e1c3bad7671d416f508c960af260f6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [33, 1], "expectation_value": -5.3454719079098085, "params": [-0.0051, -0.2346, 0.4575, 0.0329, 0.004, 0.3259, 0.0033, 0.4622, 0.0026000000000000003, 0.43420000000000003, 0.004200000000000001, 0.4242, 0.5997, 0.0081, -0.005200000000000001, 0.0393, 0.4587, 0.22010000000000002, 0.0011, 0.3936, 0.0025, 0.4592, ... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + 0.25 * Z(1) + -0.5 * Z(3) + 1.25 * Z(6) | 3 | 7 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.25, "smallest_bitstrings": ["1111110", "1011110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5744169391312657) q[0];
h q[1];
ry(-0.05753664395928477) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.024728804110098233) q[3];
ry(-0.05753664395928477) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5744169391312657) q[5];
h q[6];
ry(1.5912199140774594) q[6];
cx q[6], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"IZIZIII",
"IIIZZII",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
1.5,
0.25,
-0.25,
0,
-1,
0.25,
-0.5,
1.25
] | 0.999378 | [
1.5912199140774594,
-1.5744169391312657,
-1.485651063635235,
-1.5624441216083338,
-0.06616201859332208,
-0.05521723840075406
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 1 |
93c13fab9e34fc37930983d686b23550 | 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": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [250, 254], "expectation_value": -13.261729280920468, "params": null, "bitstrings": ["00000101", "00000001"], "total_optimization_steps": 100, "probabilities": [0.08239622153578577, 0.23920912110553932], "optimization_time": 167.42571902275085} | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 2.0 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + -3.5 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(4)) + -3.5 * (Z(3) @ Z(5)) + -3.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(5)) + -3... | 5 | 8 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["00000001"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.5774192676055356) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.5774192676055356) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.6771819541108098) q[4];
cx q[0], q[4];
h q[5];
cx q[1], q[5];
rz(-0.4252084696170514) q[5... | null | {"node": 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];\ncry(1.5708) q[5], 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] = mea... | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZZIIII",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IZIIZIII",
"IIIIIZZI",
"IIIZIZII",
"IIZIIZII",
"IIIIZZII",
"IZIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIII... | [
-3,
-3,
-2.5,
2,
-3,
-3,
-3.5,
1.5,
-3.5,
-3.5,
-3,
1,
1.5,
-3,
-3,
0.5,
0.5,
0.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.537061 | [
-0.5774192676055356,
-0.6771819541108098,
-0.4252084696170514,
-0.5636796500274506,
-0.3885354397587995,
-0.362310387205197,
-0.10522118613573798,
-1.5707965036755724,
-1.0628797607300235
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -33,
"target_ratio": 0.97,
"target_value": -32.01
} | 274 |
-8737458266305815532 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 5, 6, 7], [1, 2, 6, 7], [1, 5], [1, 3, 6], [0, 1, 6], [0, 2, 3, 6], [0, 1, 2], [0, 3, 7], [2, 4]]} | {"states": [166, 167], "expectation_value": -0.014768719685254773, "params": [[0.0341], [-0.0244]], "bitstrings": ["01011001", "01011000"], "total_optimization_steps": 10, "probabilities": [0.0039616158445140645, 0.003963882573843934], "optimization_time": 1.0335118770599365} | 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.41666666666666663 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.749999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.666666666666667, "smallest_bitstrings": ["01011000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(3.0682675407856426) q[0];
rz(-0.15458193617904742) q[0];
rx(3.2549177353628864) q[1];
rz(0.37299317239741037) q[1];
rx(3.327850129248009) q[2];
rz(0.1496792982888124) q[2];
rx(-0.011154634549907515) q[3];
rz(0.1127005756470591) q[3];
rx(3.382923079654395) 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] 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": []} | [
"IIZZIIII",
"IZZIIIII",
"IZIZIIII",
"ZIZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIIZIZII",
"IZIIIZII",
"ZIIIIZII",
"IIIIIZZI",
"IZIIZIII",
"ZIIIZIII",
"IIIIZIZI",
"IIIIZZII",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIZIIII... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.5,
0.41666666666666663,
0.08333333333333333,
0.5,
0.16666666666666666,
0.08333333333333333,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333... | 0.974021 | [
3.0682675407856426,
-0.15458193617904742,
3.2549177353628864,
0.37299317239741037,
3.327850129248009,
0.1496792982888124,
-0.011154634549907515,
0.1127005756470591,
3.382923079654395,
0.33309865077992934,
-0.1133939428372347,
-0.0370275830385261,
0.17367679280055737,
3.0320971060085076,
... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -2.749999999999999,
"target_ratio": 0.97,
"target_value": -2.667499999999999
} | 19 |
695618959826681028 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 3, 4, 7, 10, 11], [0, 1, 4, 6, 7, 9], [1, 10, 2, 4], [1, 3, 4, 6, 8, 9, 11], [2, 3, 4, 5, 7, 10], [0, 1, 3, 5, 6, 8, 10], [0, 3, 4, 6, 9, 10, 11], [3, 4, 8, 10, 11], [0, 3, 6, 7, 9, 11], [1, 5, 6, 8, 10, 11]]} | {"states": [3553, 4065], "expectation_value": -1.609206977533962, "params": [1.4242000000000001, 0.0799, 1.4191, 0.0041, 1.3939000000000001, 0.0867, 1.3647, 0.0033, 0.8863000000000001, -0.4948, 0.9011, 0.0028, 1.4657, -0.17, 1.4621000000000002, 0.0082, 1.5155, 0.0031000000000000003, 1.5126000000000002, 0.008, 1.4831, -... | 0.023809523809523808 * (Z(0) @ Z(2)) + 0.05714285714285714 * (Z(3) @ Z(2)) + 0.10476190476190475 * (Z(3) @ Z(0)) + 0.14047619047619048 * (Z(4) @ Z(2)) + 0.08095238095238094 * (Z(4) @ Z(0)) + 0.15476190476190477 * (Z(4) @ Z(3)) + 0.05714285714285714 * (Z(7) @ Z(2)) + 0.09047619047619047 * (Z(7) @ Z(0)) + 0.0904761904761... | 7 | 12 | 1 | {"smallest_eigenvalues": [-2.011904761904762], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.964285714285715, "smallest_bitstrings": ["000000011110"], "largest_eigenvalue": 9.999999999999995} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.576737940213684) q[0];
rz(-0.02084576371798219) q[0];
rx(1.3102118907594056) q[1];
rz(0.026206673686054713) q[1];
cx q[1], q[0];
rz(-0.1434931438029241) q[0];
cx q[1], q[0];
rx(1.438961583074017) q[0];
rz(-0.1475507768295667) q[0];
rx(1.6284937566147495) 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": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIZIZII",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIZIIIIZII",
"IIIIZIIIIIIZ",
"IIIIZIIIZIII",
"IIIIZIIZIIII",
"IZIIIIIIIZII",
"IZIIIIIIIIIZ",
"IZIIIIIIZIII",
"IZIIIIIZIIII",
"IZIIZIIIIIII",
"ZIIIIIIIIZII",
"ZIIIIIIIIIIZ",
"ZIIIIIIIZ... | [
0.023809523809523808,
0.05714285714285714,
0.10476190476190475,
0.14047619047619048,
0.08095238095238094,
0.15476190476190477,
0.05714285714285714,
0.09047619047619047,
0.09047619047619047,
0.09047619047619047,
0.14047619047619048,
0.07142857142857142,
0.15476190476190477,
0.21428571428571... | 0.9798 | [
1.576737940213684,
-0.16433890752090616,
1.3102118907594056,
0.026206673686054713,
1.4235472210730993,
-0.09460214938391237,
1.3513393034031813,
-0.08379075453747659,
1.4367002253909273,
0.02950278682388216,
1.382239100662887,
0.18939536764327403,
1.810913100301985,
-0.012028095202091,
0... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -2.011904761904762,
"target_ratio": 0.97,
"target_value": -1.9515476190476189
} | 20 |
61e72a7f3bba48b5d0ac6a3978f4cc8b | 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": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "tar... | {"states": [474, 218], "expectation_value": -32.31110935727405, "params": [[0.025400000000000002, 0.0053, -0.0054, -0.0076], [-0.07590000000000001, -0.082, -0.0742, -0.062400000000000004]], "bitstrings": ["000100101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.010216348515839312, 0.01355142622959... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 8.5 * Z(1) +... | 1 | 9 | 4 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 154.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0483335131627427) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0483335131627427) q[2];
cx q[0], q[2];
rz(1.4825487746828614) q[0];
rx(1.5903212513051308) q[0];
h q[3];
cx q[2], q[3];
rz(0.0483335131627427) q[3];
cx q[2], q[3];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
8.5,
5,
10.5,
5,
22,
15,
2,
17,
6
] | 0.974572 | [
0.0483335131627427,
-1.4734969215830827,
1.482548774682861,
-1.630158374978085,
-1.5196549872298504,
-1.6812432412868732,
2.1456031315340165,
-1.51463448411913,
1.8480943215643566,
1.5903212513051306
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -82,
"target_ratio": 0.97,
"target_value": -79.53999999999999
} | 49 |
5a8eac0760a558d4174437be478ec0aa | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [4, 8], "expectation_value": -0.7237794072018997, "params": [[-0.0746, -0.07680000000000001, -0.07740000000000001, -0.056400000000000006], [0.07400000000000001, 0.0753, 0.0775, 0.0702]], "bitstrings": ["1011", "0111"], "total_optimization_steps": 10, "probabilities": [0.10593650317399038, 0.10593650317399042... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["1011", "0111"], "largest_eigenvalue": 4.5} | 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] 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": []} | [
"IIZZ",
"IZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-1
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
-0.5677464941140427,
-0.3011043768554298,
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 |
0f66887301b1f983a110c9a29feb75ab | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "ta... | {"states": [92, 88], "expectation_value": -5.879928880412244, "params": [-0.00030000000000000003, 0.1777, -0.0012000000000000001, 0.1771, 0.2659, 0.0548, 0.26940000000000003, 0.009300000000000001, 0.025500000000000002, 0.0927, 0.0267, 0.09820000000000001, 0.2997, 0.0064, 0.3075, 0.001, 0.2992, -0.0018000000000000002, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 7 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["10100111", "11001011", "11100011", "10110101", "11101010", "10001111"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.07428644602699143) q[0];
rz(0.223732324721027) q[0];
rx(0.3448959876036778) q[1];
rz(0.15155471974675644) q[1];
cx q[1], q[0];
rz(-0.011794307872008716) q[0];
cx q[1], q[0];
rz(1.7460963416182356) q[0];
ry(0.21377594970517716) q[0];
rz(-1.4025693986662742) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIZIIII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2.5,
-1.5,
-0.5,
-1,
-1,
-2,
-1.5
] | 0.971283 | [
-0.07428644602699144,
0.2119380168490184,
0.3448959876036778,
0.15155471974675644,
0.09769279934664873,
0.03305711596032279,
0.470014567106377,
-0.03072666170032156,
0.46822108664433826,
-0.11314150878294771,
-0.15295701500456596,
0.02440243601377586,
0.18695103863941104,
0.110829026118379... | {
"n_parameters": 141,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 8 |
3818ce8f8ec333f1e3cdd221545ea640 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [22, 150], "expectation_value": -1.9222444607859606, "params": [[[0.4859, 0.024], [0.0719, 0.0264], [0.14100000000000001, -0.0682], [0.4989, -0.277], [0.0903, -0.3149], [0.09430000000000001, 0.5093], [0.28650000000000003, 0.5022], [0.17350000000000002, 0.1446]], [[0.4409, -0.0057], [0.0661, -0.0178], [0.1626... | 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)) + 0.5 * (Z(4... | 15 | 8 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.125, "smallest_bitstrings": ["10100101", "00101101", "10000111", "01101001", "01011010", "01001011", "00011110", "10010110"], "largest_eigenvalue": 6.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2759233039205356) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2759233039205356) q[2];
cx q[0], q[2];
rz(0.8844402004995073) q[0];
rx(-0.1341396366104166) q[0];
h q[3];
cx q[2], q[3];
rz(0.2759233039205356) q[3];
cx q[2], q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIZZIIII",
"ZZIIIIII",
"IIIZIIIZ",
"IIZIIIZI",
"IZIIIZII",
"ZIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.125,
-0.125,
-0.125,
-0.125,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.970097 | [
0.2759233039205356,
-0.42938787334870315,
0.8844402004995082,
-0.8144200522888211,
0.2801413587704371,
-0.8114055882673806,
-0.6665407615679289,
-1.1405939395508837,
-0.13413963661041667,
-0.22536789211031555,
-1.1314300218673012,
0.5384084427806397,
-0.5755834086541328,
0.4727379585036260... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -67,
"target_ratio": 0.97,
"target_value": -64.99
} | 49 |
5933431308004300537 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 4], [0, 3, 4, 6, 7], [3, 5, 7], [0, 2, 3, 6], [0, 2, 5], [0, 1, 4]]} | {"states": [156, 158], "expectation_value": -1.7432771076669649, "params": null, "bitstrings": ["01100011", "01100001"], "total_optimization_steps": 42, "probabilities": [0.0805649308624024, 0.7849636606828092], "optimization_time": 54.13096380233765} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.13333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(0) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.7833333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7833333333333332, "smallest_bitstrings": ["01100001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.9071154932345546) q[0];
rz(-0.6393326975606519) q[0];
rx(0.09251541774149795) q[1];
rz(-0.9799295409784119) q[1];
cx q[1], q[0];
rz(0.6001295487718397) q[0];
cx q[1], q[0];
rx(1.1954551225980203) q[0];
rz(0.0509746757591992) q[0];
rx(0.1206379412793037) q[1];
rz(-0... | 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(1.4845) 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[... | [
"IIIIZIZI",
"IIIZZIII",
"IIIZIIZI",
"IIIIZIIZ",
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIZIII",
"IZIZIIII",
"IZIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIZIII",
"IIZIIIIZ",
"ZIZIIIII",
"IIIIZZII",
"IIIIIZIZ",
"IZIIIZII",
"IIZIIZII",
"IIIIZIII",
"IIIIIIZI",
"IIIZIII... | [
0.16666666666666666,
0.21666666666666667,
0.3333333333333333,
0.13333333333333333,
0.16666666666666666,
0.21666666666666667,
0.13333333333333333,
0.05,
0.13333333333333333,
0.21666666666666667,
0.05,
0.05,
0.05,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.0833333... | 0.972151 | [
1.9071154932345544,
-0.03920314878881214,
0.09251541774149795,
-0.9799295409784119,
-0.004825471747052182,
1.0071730737900226,
1.9222712250119278,
0.3631491836741375,
1.5549686965961163,
1.6106069638561105,
0.1421470029670226,
0.8080723815958907,
-0.2865869811549818,
0.059802028736636634,
... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -1.7833333333333337,
"target_ratio": 0.97,
"target_value": -1.7298333333333336
} | 2 |
-919385846436445453 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[8, 1], [10, 3], [1, 4], [11, 12], [0, 1], [4, 6], [1, 11], [2, 6], [1, 6], [4, 12], [11, 6], [10, 4], [0, 12], [1, 3], [2, 4], [0, 7], [9, 2], [3, 7], [5, 7], [8, 6], [2, 11], [0, 2], [10, 6], [9, 6], [0, 10], [11, 5], [1, 7], [8, 11]]} | {"states": [5082, 5066], "expectation_value": -6.733184785053861, "params": [2.5992, -0.016800000000000002, 0.0031000000000000003, 0.7763, -0.002, 0.7598, 2.2981000000000003, -0.003, 2.5888, -0.0031000000000000003, 2.591, -0.9853000000000001, 2.5773, 0.0046, 0.8372, -0.9378000000000001, 2.5940000000000003, -0.7884, 2.5... | 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(10)) + 0.5 * (Z(11) @ Z(1)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(12) @ Z(4)) + 0.5 * (Z(12) @ Z(11)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(10)) + 0.5 * (Z(0) @ Z(12)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(8)) + 0.5... | 4 | 13 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -7.0, "smallest_bitstrings": ["0110011100101", "1001111001010", "0110010110101", "0110011000101", "0110010011101", "1001111... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-3.0139735977989255) q[0];
rz(1.4083528923204458) q[0];
rx(0.07600315914839402) q[1];
rz(2.0149196123195523) q[1];
rx(-0.016865355599512983) q[2];
rz(2.04785413768737) q[2];
rx(1.9315985243298959) q[3];
rz(1.5221630819988814) q[3];
rx(3.010070832691534) q[4];
rz(1.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIZI",
"IIIIIIIIIZIZI",
"IIZIIIIIIZIII",
"IIIIIIIIZIIZI",
"IIZIIIIIZIIII",
"IZIIIIIIIIIZI",
"IZIIZIIIIIIII",
"ZIIIIIIIZIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIIIZZ",
"IIZIIIIIIIIIZ",
"ZIIIIIIIIIIIZ",
"IIIIIIZIIIIZI",
"IIIIZIZIIIIII",
"IIZIIIZIIIIII",
"IIIIIIZIZIIII",
"IZIIIIZIIII... | [
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,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972015 | [
3.269211709380661,
-0.16244343447445114,
0.07600315914839403,
0.44412328552465524,
-0.01686535559951298,
0.4770578108924721,
1.9315985243298956,
-0.04863324479601505,
3.010070832691534,
0.11802760726072026,
2.0973707719196844,
-0.6838208962580004,
2.426644168758458,
-0.14653283403794273,
... | {
"n_parameters": 37,
"n_qubits": 13,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 18 |
0963943ecfb82868686868de206d3c2c | 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": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}]} | {"states": [0, 13], "expectation_value": -2.020431639181819, "params": null, "bitstrings": ["11111", "10010"], "total_optimization_steps": 20, "probabilities": [0.06312583727485936, 0.6609303434568208], "optimization_time": 10.903878688812256} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(3) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4948710520914895) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.4948710520914895) q[3];
cx q[0], q[3];
rz(-0.4948710520914896) q[3];
rx(-1.058874037423115) q[3];
h q[4];
cx q[1], q[4];
rz(0.2625528553115834) q[4];
cx q[1]... | 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(1.4449) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.25,
-0.25,
-0.5,
0.75,
-0.5,
0.25,
-0.25,
-0.25,
-0.25,
0.5
] | 0.618491 | [
-0.4948710520914895,
0.2625528553115834,
1.6007806305011483,
1.859838942507385,
1.4865699529568797,
-1.0588740374231147,
-0.22546151729226455,
0.8787999957155911,
3.678727237984558,
1.550791867295464,
1.2526545709057826,
-0.6302460970158399
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 418 |
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": -21.763093787949906, "params": [-0.2089, 0.0363, -0.0772, -0.0102, 0.09040000000000001, 0.16840000000000002, 0.1119, 0.1218, 0.403, 0.0035, 0.40790000000000004, 0.0029000000000000002, -0.031100000000000003, 0.1033, 0.0151, 0.24710000000000001, -0.0025, 0.3084, 0.005, 0.3175, -0... | -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(... | 6 | 11 | 2 | {"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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input fl... | {"source": 0, "sink": 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 |
1061259256828078308 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 1, 3, 4], [0, 2, 3, 4], [0, 1, 2]]} | {"states": [26, 15], "expectation_value": -0.28058399084870667, "params": [[0.3062], [-0.3123]], "bitstrings": ["00101", "10000"], "total_optimization_steps": 40, "probabilities": [0.0434728478801489, 0.0436500536189627], "optimization_time": 1.5965232849121094} | 0.25 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.083333... | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.8333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 2.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.6771901048455372) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-2.830153296646485e-08) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(1.5629639243716925e-08) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-2.830153296646485e-08) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x1) q[3];
cx q[1], q[3];
cx q[0], q[3];... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IIZZI",
"IIZIZ",
"IZZII",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.08333333333333333,
0.29166666666666663,
0.41666666666666663,
0.24999999999999994,
0.24999999999999994,
0.29166666666666663
] | 0.842315 | [
0.6771901048455372,
-2.830153296646485e-8,
1.5629639243716925e-8,
1.570796304859715,
-1.5707964157944652,
-1.570796320987113
] | {
"n_parameters": 6,
"n_qubits": 5,
"optimal_eigenvalue": -0.8333333333333334,
"target_ratio": 0.97,
"target_value": -0.8083333333333333
} | 174 |
30ba64f2314d12dd7a4bba52fce6e2f0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 2, "target": 4}, {"capaci... | {"states": [21, 31], "expectation_value": -5.074334699257932, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 37, "probabilities": [0.11261830073505118, 0.7491392973575856], "optimization_time": 26.74123477935791} | -0.75 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -1.75 * (Z(2) @ Z(4)) + -0.75 * (Z(1) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + 0.75 * Z(1) + 0.25 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000", "111110", "101110"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.013998913927963777) q[0];
rz(-0.17149443553368027) q[0];
rx(0.9176296645850912) q[1];
rz(-0.008414519479911217) q[1];
rx(-0.07133329756888002) q[2];
rz(-0.28009948850485156) q[2];
rx(-0.07133329756888002) q[3];
rz(-0.21658522262626537) q[3];
rx(0.050114731907889454... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) 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 \"stdgat... | [
"IIZIIZ",
"IZZIII",
"IZIIIZ",
"IZIZII",
"IIIZZI",
"ZIZIII",
"ZIIIIZ",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIIIZI",
"ZIIIII"
] | [
-0.75,
-1,
-0.25,
-1.75,
-0.75,
-1,
1.25,
0.25,
-0.25,
-0.5,
-0.5,
0.75,
0.25
] | 0.974597 | [
0.013998913927963777,
-0.17149443553368027,
0.9176296645850912,
-0.008414519479911217,
-0.07133329756888002,
-0.28009948850485156,
-0.21658522262626537,
0.050114731907889454,
0.09333842897412256,
2.434106439818495,
0.40266511199623956
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 9 |
da3c81488557dc57e6e1f0bd43d65336 | 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": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [22, 41], "expectation_value": -0.0891415307399371, "params": [[-0.0708], [0.0713]], "bitstrings": ["101001", "010110"], "total_optimization_steps": 10, "probabilities": [0.017542115890708518, 0.017542115890708525], "optimization_time": 0.9695086479187012} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010110", "101001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(2.867085271407469) q[0];
rz(0.3043059900979084) q[0];
rx(0.09235165757558533) q[1];
rz(0.9535806604362476) q[1];
rx(-0.1119442096811765) q[2];
rz(1.1846710426102411) q[2];
rx(3.0988563508695517) q[3];
rz(0.5841200851268177) q[3];
rx(0.14325937118774348) q[4];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IIZZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.983007 | [
2.867085271407469,
0.3043059900979084,
0.09235165757558533,
0.9535806604362476,
-0.1119442096811765,
1.1846710426102411,
3.0988563508695517,
0.5841200851268177,
0.14325937118774348,
-1.0539834988881036,
3.200641439537315,
0.13258606659300243
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 12 |
a1d30927e8d1c8c726712f7d85b25667 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 3, "target": 7}, {"capacity": 1, "source": 4, ... | {"states": [127, 95], "expectation_value": -7.602146008888258, "params": null, "bitstrings": ["10000000", "10100000"], "total_optimization_steps": 58, "probabilities": [0.2143241896166521, 0.21435663823199338], "optimization_time": 76.39513659477234} | -1.0 * (Z(0) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + 1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(6)) + -0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.5 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.75, "smallest_bitstrings": ["10000000", "10110000", "10100000", "10010000", "10111000"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7388502636479408) q[0];
h q[1];
ry(0.8364853737259059) q[1];
h q[2];
h q[3];
h q[4];
ry(0.787806496993027) q[4];
h q[5];
ry(1.5530979908529392) q[5];
h q[6];
ry(1.5530979908529392) q[6];
cx q[6], q[1];
ry(-0.8364853737259059) q[1];
cx q[6], q[1];
h q[7];
c... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZIIZ",
"IZIIIIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIZZIII",
"IZIZIIII",
"IIIZIZII",
"IIZIZIII",
"IZZIIIII",
"IIZIIIZI",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII"
] | [
-1,
-1.75,
-1,
1.25,
-0.75,
-0.25,
-0.75,
-0.25,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
1.5,
-1.5,
-1,
-0.25,
-0.25,
2.25
] | 0.972173 | [
1.5530979908529392,
1.6729707474518118,
-1.4777005272958816,
1.0428584261011464,
-0.5387470518195514,
1.575612993986054,
0.2895910452877033,
-0.14095535837536688,
0.12654572147272122,
0.0819225196994189,
0.10364277040264942,
0.26808859046062694,
-0.06220001776916481,
-0.12253649147198077,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 1 |
5991295615091008679 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 5, 9], [8, 9, 3, 4], [1, 2, 6], [9, 2, 3, 5], [1, 2, 3, 4], [0, 1, 4, 6], [8, 1], [5, 6], [0, 8, 2], [0, 9, 5], [8, 9, 2, 3], [0, 2, 3, 4, 9], [9, 7]]} | {"states": [977, 969], "expectation_value": -3.761072958507092, "params": null, "bitstrings": ["0000101110", "0000110110"], "total_optimization_steps": 64, "probabilities": [0.0655709608817187, 0.8417847307771332], "optimization_time": 2600.794239282608} | 0.16666666666666666 * (Z(1) @ Z(5)) + 0.41666666666666663 * (Z(9) @ Z(5)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(9)) + 0.08333333333333333 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.3 * (Z(3) @ Z(9)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666... | 5 | 10 | 1 | {"smallest_eigenvalues": [-3.8666666666666667, -3.8666666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.6166666666666667, "smallest_bitstrings": ["0000110110", "0000001011"], "largest_eigenvalue": 11.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.9495411127174529) q[0];
h q[1];
h q[2];
ry(1.5871728141267534) q[2];
h q[3];
h q[4];
ry(-0.33941233379824637) q[4];
cx q[3], q[4];
ry(0.33941233379824637) q[4];
cx q[3], q[4];
ry(-0.2297718266042342) q[4];
cx q[0], q[4];
ry(0.2297718266042342) q[4];
cx q[0... | 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(1.5567) 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]... | [
"IIIIZIIIZI",
"ZIIIZIIIII",
"ZIIIIIIIZI",
"IZIIIIIIZI",
"ZZIIIIIIII",
"IIIIZIZIII",
"IIIIIIZIZI",
"ZIIIIIZIII",
"IZIIIIZIII",
"IIIIIZIIZI",
"ZIIIIZIIII",
"IZIIIZIIII",
"IIIIIZZIII",
"IIIIZIIZII",
"IIIIIIIZZI",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIZZIIIII"... | [
0.16666666666666666,
0.41666666666666663,
0.16666666666666666,
0.5,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.3,
0.16666666666666666,
0.16666666666666666,
0.13333333333333333,
0.08333333333333333,
0.21666666666666667,
0.08333333333333333,
0.25,
0.2166666666666666... | 0.979693 | [
1.5871728141267534,
1.508920208718195,
-1.3400757514107333,
-0.9119862788305122,
0.9625171238734076,
-0.4711262851735999,
0.4953090432674216,
-0.6649351205572338,
0.9965385884536347,
-0.8755056034573678,
0.9495411127174529,
-0.2649100746998588,
0.2975507795979887,
-0.5082144436401679,
-0... | {
"n_parameters": 45,
"n_qubits": 10,
"optimal_eigenvalue": -3.8666666666666667,
"target_ratio": 0.97,
"target_value": -3.7506666666666666
} | 18 |
1b24af073a06b420b0e381d469b6416f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 7}, {"source": ... | {"states": [0, 1023], "expectation_value": -27.174147500127884, "params": [[[0.0028, 1.6145], [0.0025, 0.0029000000000000002], [0.0016, 0.0018000000000000002], [0.0025, 0.0018000000000000002], [0.0033, 0.0028], [0.0033, -0.0031000000000000003], [0.0034000000000000002, 0.0031000000000000003], [0.0025, -0.0028], [0.0025,... | -1.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -3.5 * (Z(7) @ Z(3)) + -2.0 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(5)) + -3.5 * (Z(1) @ Z(3)) + -3.0 * (Z(1) @ Z(7)) + 1.0 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + 1.0 ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-31.0, -31.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -30.0, "smallest_bitstrings": ["1010000000", "0000000000"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
ry(0.7209401371652037) q[1];
h q[2];
h q[3];
h q[4];
ry(0.1672816125771376) q[4];
h q[5];
ry(0.1672816125771376) q[5];
h q[6];
ry(0.8812675568877277) q[6];
h q[7];
ry(0.1672816125771376) q[7];
cx q[3], q[7];
ry(-0.1672816125771376) q[7];
cx q[3], q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
ry(x0) q[0];
ry(... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIZIZIII",
"IIZIZIIIII",
"IIZIIIZIII",
"IZIIZIIIII",
"IZIIIIZIII",
"IZZIIIIIII",
"IIIIZIIIZI",
"IIIIIIZIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIIIIZZIII",
"IIZIIZIIII",
"IZIIIZIIII",
"IIIIIZIIZI",
"ZIIIZIIIII",
"ZIIIIIZIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"ZIIIIIIIZI"... | [
-1.5,
-2.5,
0.5,
-3.5,
-2,
-3,
0.5,
0.5,
-3.5,
-3,
1,
0.5,
-3,
0.5,
1,
0.5,
1,
1,
-3,
-3.5,
-2.5,
1,
-2.5,
-2.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970059 | [
0.3345632251542752,
1.4418802743304073,
-0.15819848464404213,
-0.3937082073211731,
1.315751681909752,
1.7625351137754555,
0.5591040479667093,
0.04273789351572031,
1.112492631866581,
0.0058358602483926094,
0.004872376993855669,
0.009335157479374037,
0.04671359001527622,
-0.4852655709319443,... | {
"n_parameters": 83,
"n_qubits": 10,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 350 |
-1098029216507613742 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3], [3, 6], [0, 4], [1, 6], [0, 5]]} | {"states": [17, 81], "expectation_value": -0.02855199055999151, "params": [[[1.6388, 0.0082], [1.4324000000000001, 0.0063], [1.6832, 0.0006000000000000001], [1.4582000000000002, 0.0026000000000000003], [1.5005000000000002, 0.00030000000000000003], [1.5019, 0.0036000000000000003], [1.7113, 0.0002]]], "bitstrings": ["110... | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["0101110", "0010111", "1101000", "1010001"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.07447625143313834) q[0];
h q[1];
h q[2];
ry(-0.07447625143313834) q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
ry(0.07447625143313834) q[0];
cx q[5], q[0];
ry(-0.17017199182888104) q[0];
cx q[4], q[0];
ry(0.17017199182888104) q[0];
cx q[4], q[0];
ry(-0.926... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIZZII",
"ZIIZIII",
"IIZIIIZ",
"ZIIIIZI",
"IZIIIIZ",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.97144 | [
-0.14895250286627668,
1.4874729542632992,
-0.5553247034252545,
1.3651423718081286,
1.6189793454001924,
-0.3403439836577621,
1.0703152671579224,
-0.8446771146598355,
0.3330891402986202,
-0.7553701859716849,
0.03674119825657759,
-1.0075254566809904,
0.17035755857869822,
0.77145910795843,
-... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 52 |
7634164182619522537 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 4], [0, 1], [2, 4], [0, 3]]} | {"states": [14, 17], "expectation_value": -0.04337463138147479, "params": [[0.0762], [-0.0723]], "bitstrings": ["10001", "01110"], "total_optimization_steps": 10, "probabilities": [0.034016499659980354, 0.034016499659980354], "optimization_time": 0.8321938514709473} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10001", "01110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.21768336944744873) q[0];
h q[1];
ry(1.3283142262663603) q[1];
h q[2];
h q[3];
cx q[3], q[0];
ry(0.21768336944744873) q[0];
cx q[3], q[0];
ry(-0.28566401590303003) q[0];
cx q[1], q[0];
ry(0.28566401590303003) q[0];
cx q[1], q[0];
ry(-0.592827731752228) q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[0], q[3];
rz(x0) q[3];
cx ... | null | {"circuits": [], "gradients": []} | [
"ZIIZI",
"IIIZZ",
"ZIZII",
"IZIIZ",
"ZIIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.974217 | [
-0.43536673889489746,
1.3283142262663603,
-0.5713280318060601,
1.1586620416105764,
-0.5046676168355315,
0.3817632721966262,
0.09249684674156028,
-0.14908482323052727,
-0.17632022983339288,
0.1366962421065162,
-0.009180707215376699,
-0.13077377522543812,
0.2855751664562418,
0.02749516560915... | {
"n_parameters": 16,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 6 |
8176293583578672830 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 6], [0, 5], [1, 4], [0, 2], [5, 6], [5, 7], [4, 7], [0, 4], [1, 3], [3, 7], [2, 7], [4, 5], [4, 6], [6, 7]]} | {"states": [58, 197], "expectation_value": -0.07034018198731715, "params": [[-0.0458], [0.0557]], "bitstrings": ["11000101", "00111010"], "total_optimization_steps": 10, "probabilities": [0.0042304669442474975, 0.0042304669442474975], "optimization_time": 1.049607753753662} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.0 * Z(6) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["00111010", "00111100", "11000011", "11000001", "00111110", "11000101"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2027619618516402) q[0];
h q[1];
ry(-0.6532607842855371) q[1];
h q[2];
ry(0.7927159460746929) q[2];
h q[3];
ry(0.740760807505) q[3];
h q[4];
ry(1.549361703473922) q[4];
h q[5];
cx q[5], q[0];
ry(0.2027619618516402) q[0];
cx q[5], q[0];
ry(-0.457060806262433... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q[5];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[6]... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIZ",
"IZZIIIII",
"IIZIIIIZ",
"IZIZIIII",
"IIIZIIIZ",
"IIZZIIII",
"IIIZIIZI",
"IIIIIZIZ",
"ZZIIIIII",
"ZIZIIIII",
"ZIIZIIII",
"ZIIIIZII",
"IIIIZIZI",
"ZIIIZIII",
"IZIIIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973023 | [
-0.4055239237032804,
1.4278269060525743,
1.5854318921493857,
-0.7799377534388002,
-0.9141216125248662,
1.267951050168897,
1.48152161501,
-1.3065215685710743,
1.549361703473922,
-0.15964994264518745,
-0.18761748852025886,
0.04291307855595581,
0.0038491847010438673,
-0.11016388489736448,
0... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 12 |
6daefc4dd59cf0044a6f4465e7314486 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 5}, {"source": 1, "target":... | {"states": [35, 3], "expectation_value": -23.9728321626949, "params": null, "bitstrings": ["111011100", "111111100"], "total_optimization_steps": 88, "probabilities": [0.14878097255068284, 0.3183566637512127], "optimization_time": 214.81117296218872} | -3.0 * (Z(0) @ Z(2)) + -3.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + -3.5 * (Z(6) @ Z(2)) + -3.5 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + -4.0 * (Z(1) @ Z(6)) + 1.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 1.5 * (Z(4) @ Z(6)) + -2.5 * (Z(4) @ Z(1)) + -3.5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-37.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.0, "smallest_bitstrings": ["111111100"], "largest_eigenvalue": 43.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.597178724102603) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.597178724102603) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.6727094262459828) q[3];
cx q[0], q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(0.5262988411309942) q... | null | {"node": 4} | {"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(-1.5577) 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] = ... | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZIIZIII",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIZIZIIII",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZZIIII",
"ZZIIIIIII",
"... | [
-3,
-3,
-2.5,
-3.5,
-3.5,
-3.5,
0.5,
0.5,
0.5,
-4,
1,
0.5,
1.5,
-2.5,
-3.5,
1,
1,
-4,
1,
-3,
-1,
-3,
2,
-2.5,
-3.5,
1.5,
-3,
2,
0.5,
0.5
] | 0.540865 | [
0.597178724102603,
0.6727094262459828,
0.5262988411309942,
0.15439016459687055,
0.41996176479937386,
0.27580828740709495,
0.23436278584114764,
1.7287095670699397,
0.27915779608655716,
1.0602390014631944
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -37,
"target_ratio": 0.97,
"target_value": -35.89
} | 255 |
fbfefcfa74040d0ce51ad9f65d60106e | 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": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [255, 127], "expectation_value": -16.789201846230043, "params": [[[-0.0029000000000000002, -0.043500000000000004], [-0.0047, -0.0022], [0.0001, -0.0025], [0.0032, -0.0028], [0.0011, -0.0024000000000000002], [-0.002, -0.0023], [-0.0032, 0.0149], [1.6287, -0.0029000000000000002]], [[0.0536, -1.6652], [-0.0015,... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + 2.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5)... | 15 | 8 | 2 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-3.000859291377131) q[1];
rz(-pi) q[1];
h q[2];
ry(0.7748292037323219) q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(0.7748292037323219) q[6];
cx q[4], q[6];
ry(-0.7748292037323219) q[6];
cx q[4], q[6];
cx q[6], q[2];
ry(-0.7748292037323219) q[2];
cx q[6], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIZZI",
"IIIIIZIZ",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"ZIIZIIII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIZII",
"ZZIIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIII... | [
-0.75,
-1,
-1.25,
2.25,
-1.25,
-0.75,
-0.5,
-1.25,
-1.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-1.5,
-1.75,
-1.25,
-2.5,
4,
-0.25,
0.5,
-0.75,
-0.25,
-1.5,
-1.25,
-0.5
] | 0.971108 | [
1.343239533146487,
1.5496584074646438,
1.363289995080834,
0.49621708094972544,
0.17364686287149478,
0.8685694332296491,
-0.9034655796711664,
0.019652428940172502,
0.07498731643459305,
0.010575954165949066,
-0.054917433053030165,
-0.5287275655163913,
0.6373367627171431,
-0.02023287143337967... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 309 |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 1, "target": 3}]} | {"states": [3821, 1773], "expectation_value": -5.091310785942085, "params": [0.8466, 0.503, 1.4873, 0.2162, 1.4332, 0.3826, 0.8542000000000001, 0.5117, 1.4927000000000001, 0.2624, 1.1159000000000001, 0.4067, 1.4949000000000001, 0.0897, 0.8219000000000001, 0.5134000000000001, 1.4994, 0.47150000000000003, 1.5003, 0.0697,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 16 | 12 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -6.0, "smallest_bitstrings": ["100100001001", "100100001010", "100100010001", "100010001001", "010010100001", "001001100100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIIIIZIII",
"IZIIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
4a81d129f4f12b9e64e94f5ddf0b959e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [238, 236], "expectation_value": -86.54669575169407, "params": [[[0.7317, 0.281], [0.6443, 0.3417], [0.4753, 0.3556], [0.5033, 0.37320000000000003], [0.1262, 0.27690000000000003], [0.884, 0.34750000000000003], [0.7149, 0.3325], [-0.0756, 0.1247], [0.012, -0.11220000000000001]], [[0.18610000000000002, 0.0376]... | 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(3) @ Z(0)) + 7.0 * (Z(3) @ Z(5)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(5)) + 9.5 * Z(0) + 23.5 * Z(2) + 15.0 * Z(1) + 24.0 * Z(5) + 1... | 15 | 9 | 4 | {"smallest_eigenvalues": [-101.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 182.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.6595401815101248) q[0];
ry(0.6764208641088436) q[1];
ry(0.4844652940366874) q[2];
ry(0.40049332380632735) q[3];
ry(-0.12035247491066724) q[4];
ry(1.1881497259112703) q[5];
ry(1.0200679278591005) q[6];
ry(-0.2529723676937407) q[7];
ry(-0.36745848501146616) q[8];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
9.5,
23.5,
15,
24,
15.5,
4.5,
3,
1,
2.5
] | 0.971481 | [
0.6595401815101248,
0.6764208641088436,
0.4844652940366874,
0.40049332380632735,
-0.12035247491066724,
1.1881497259112703,
1.0200679278591005,
-0.2529723676937407,
-0.36745848501146616,
0.019987319597563932,
0.12054336790849332,
0.11931506870843656,
0.02481193451491313,
0.00148643231380444... | {
"n_parameters": 70,
"n_qubits": 9,
"optimal_eigenvalue": -101.5,
"target_ratio": 0.97,
"target_value": -98.455
} | 41 |
f9d3d45d98e19392f143ffe8793989b0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"sour... | {"states": [88, 92], "expectation_value": -3.7749632071289665, "params": [-0.0055000000000000005, 0.5527000000000001, -0.0043, 0.007, 0.0165, 0.5945, 0.012400000000000001, 0.0017000000000000001, 0.904, 0.0043, 0.9071, 0.003, 0.0137, 0.44420000000000004, 0.0187, 0.0058000000000000005, 0.8998, -0.0021000000000000003, 0.9... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(5) + ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["011101001", "110101001", "110100011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.35502787169860184) q[0];
rz(0.20388010723556427) q[0];
rx(0.01915007871446868) q[1];
rz(0.7159932199813558) q[1];
cx q[1], q[0];
rz(-0.06770555555109543) q[0];
cx q[1], q[0];
rx(0.1895028514202487) q[0];
rz(-0.39114185196539875) q[0];
rx(-0.16275875075458085) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIIIIZ",
"IIZIIIIZI",
"IIIZIZIII",
"IIZIIZIII",
"IZIZIIIII",
"IZIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIZIII",
"IZIIIIIII",
"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,
-1,
-1,
-0.5,
-1,
-1,
-1,
-1,
-1,
0
] | 0.972912 | [
-0.35502787169860184,
0.13617455168446904,
0.01915007871446868,
0.7159932199813558,
1.7510270517700897,
-0.1154628426434526,
0.0453922772773227,
0.5325099755460888,
1.3295741773229826,
-0.39155326150713077,
1.3994223853768941,
0.22269234449086445,
1.7875203041070291,
-0.05904103202375957,
... | {
"n_parameters": 41,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 22 |
ac1bcc355fc17d96f5a771c5405fe0cf | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [215, 214], "expectation_value": -66.71437577189366, "params": [0.6842, 0.4325, 1.3974, 0.018600000000000002, 1.3952, 0.32370000000000004, 0.3648, 0.7396, 1.3981000000000001, -0.1721, -0.0184, -0.7002, 1.3917000000000002, -0.0024000000000000002, 1.3933, -0.1542, 0.7633000000000001, -0.3062, 0.6856, 0.0001, 1... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(6) @ Z(8)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(5) @ Z(7)) + 7.5 * Z(0) + 9.0 * Z(1) + 19.5 * Z(2) + 10.0 * Z(4) + 1.... | 18 | 9 | 2 | {"smallest_eigenvalues": [-85.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 150.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.07140727919023565) q[0];
rz(0.7923455927195104) q[0];
rx(1.6308327378028817) q[1];
rz(0.060618947866291226) q[1];
rx(1.503558565177957) q[2];
rz(0.5277958389185514) q[2];
rx(-0.14302646945881864) q[3];
rz(0.6634764686117292) q[3];
rx(1.669483969507347) q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIIZZIII",
"ZIIIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IZIZIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIZIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
7.5,
9,
19.5,
10,
1.5,
8.5,
17.5,
12.5,
-1.5
] | 0.974411 | [
0.07140727919023565,
0.6246489853395838,
1.6308327378028817,
0.060618947866291226,
1.503558565177957,
0.5277958389185514,
-0.14302646945881864,
0.6634764686117292,
1.669483969507347,
-0.17040180269056376,
0.05662547763075961,
-0.9901335298943378,
1.517664222480625,
-0.20747154080258157,
... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -85.5,
"target_ratio": 0.97,
"target_value": -82.935
} | 12 |
406f205c8f68e15d44cfdbce281f4c7d | 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": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [37, 56], "expectation_value": -0.9649131435935692, "params": [[-0.0815, -0.07490000000000001, -0.079, -0.077], [0.08070000000000001, 0.07390000000000001, 0.0756, 0.0752]], "bitstrings": ["011010", "000111"], "total_optimization_steps": 10, "probabilities": [0.03572191185331689, 0.03603025551049461], "optimi... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(3) + 0.0 * Z(1) + -1.0 * Z(2) + -0.5 * 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": ["001110", "011010", "000111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.00817263797266711) q[0];
rz(0.5966647633891988) q[0];
rx(-0.00817263797266711) q[1];
rz(0.13566274477300744) q[1];
rx(3.0563566369992974) q[2];
rz(1.526362272167271) q[2];
rx(2.7143491625185714) q[3];
rz(0.6625473815348293) q[3];
rx(-0.235591289998422) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IIZIZI",
"IZIZII",
"IIZZII",
"ZZIIII",
"ZIIZII",
"IZIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
0,
-1,
-0.5
] | 0.974338 | [
-0.00817263797266711,
0.5966647633891988,
0.13566274477300744,
3.0563566369992974,
1.526362272167271,
2.7143491625185714,
0.6625473815348293,
-0.235591289998422,
0.5263775625222091,
3.0339991639572848,
0.17723105258234045
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
7192811123396178656 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1], [8, 2], [0, 2], [1, 4], [1, 2], [2, 7], [0, 4], [3, 4], [8, 5], [8, 7], [4, 7], [3, 6], [2, 4], [0, 3], [3, 5], [2, 5], [2, 3]]} | {"states": [113, 398], "expectation_value": -0.16952885566633477, "params": [[0.07050000000000001], [-0.07300000000000001]], "bitstrings": ["110001110", "001110001"], "total_optimization_steps": 10, "probabilities": [0.002331464933517933, 0.002331464933517933], "optimization_time": 0.8248493671417236} | 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["001110001", "001010101", "110101010", "110001110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.5653192657235186) q[0];
h q[1];
ry(0.7565253675187874) q[1];
h q[2];
ry(-0.24766477378283286) q[2];
h q[3];
h q[4];
ry(-0.16669462300146654) q[4];
h q[5];
h q[6];
ry(-0.24766477378283286) q[6];
cx q[3], q[6];
ry(0.24766477378283286) q[6];
cx q[3], q[6];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(x0) q[8];
cx q[1], q[8];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[8], q[2];
rz(x0) q[2];
cx q[8], q[2];... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZI",
"IIIIIIZZI",
"ZIIIIIZII",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZIZII",
"IIIIZIIIZ",
"ZZIIIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZZIII",
"ZIIZIIIII",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIZIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.97695 | [
-0.4953295475656657,
1.2283050542683964,
-0.33338924600293307,
1.5590060779643267,
1.5130507350375748,
-1.339157144646384,
-1.6056995246906212,
-0.5517543370666715,
0.1531001267322319,
0.0005277954825933517,
1.1306385314470373,
0.8521685787265829,
-0.049643590965776446,
-0.3373490994611317... | {
"n_parameters": 67,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 39 |
11cd2beb66d9af0f1795a09b2dc12b1f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [200, 216], "expectation_value": -5.053976243170991, "params": [0.4043, -0.0006000000000000001, 0.40990000000000004, -0.0004, 0.4073, 0.0001, 0.40750000000000003, -0.0, 0.1413, 0.0009000000000000001, 0.1582, -0.0001, 0.39930000000000004, -0.0004, 0.40080000000000005, 0.0001, 0.4078, 0.0009000000000000001, 0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.0 *... | 6 | 8 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["00100111"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.1036831190192232) q[0];
rz(1.7120751903319196) q[0];
rx(0.38190515662114594) q[1];
rz(1.2401756656480112) q[1];
rx(-0.18637683819515832) q[2];
rz(2.082771408989675) q[2];
rx(-0.06912335835312089) q[3];
rz(1.6648972010767498) q[3];
rx(-0.06472601200225857) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"ZIIIIZII",
"ZIIIIIZI",
"ZIZIIIII",
"IIIIZZII",
"IZIIZIII",
"IIZIZIII",
"ZIIIZIII",
"IIZZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIZIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1,
-1,
-1.5,
-1.5,
-1.5,
0
] | 0.970593 | [
-0.10368311901922318,
0.14127886353702176,
0.3819051566211459,
-0.33062066114688526,
-0.18637683819515832,
0.5119750821947779,
-0.06912335835312089,
0.0941008742818534,
-0.06472601200225857,
-0.5743282776309604,
-0.378310297074044,
-0.05445155579476911,
0.018601520025581516,
-0.68508944338... | {
"n_parameters": 110,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 106 |
bd4c1476c3aa7cafea7811e124c4791d | 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": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.20714273708080067, "params": [[0.0524], [-0.0426]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004417783165050616, 0.0044608527305754295], "optimization_time": 2.2149975299835205} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0671841118139862) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.031280402529584396) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.11694415727298718) q[4];
cx q[1], q[4];
h q[5];
cx q[1], q[5];
rz(0.031280402529584396) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIZIIZI",
"IIIZZIII",
"ZIIZIIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"IIIIZZII",
"ZIIIIZII",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZI... | [
-0.5,
-0.75,
1.5,
-0.5,
-1,
-1,
-0.75,
-0.75,
-0.25,
-0.5,
-0.25,
-1,
-0.25,
-0.5,
-0.5,
1.75,
-0.25,
0.5,
-0.25,
-1.25,
0.5,
-1.25,
0.25
] | 0.936479 | [
-0.0671841118139862,
0.031280402529584396,
-0.20947139556786867,
-0.11694415727298718,
-0.03287291360094323,
1.1816672253993616,
1.1537478745059475,
0.9880219403892836,
1.157821183267566,
-1.6276462451756408,
-0.38641150402430224,
0.1639648636376219,
0.761666511676907,
-0.6557486395688252,... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 500 |
3bcfe4648282d1b3b76d6f42e87e5c5d | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [28, 44], "expectation_value": -1.174772946683539, "params": [[-0.062400000000000004, -0.056, -0.053700000000000005, -0.0726], [0.0737, 0.0664, 0.0627, 0.0665]], "bitstrings": ["100011", "010011"], "total_optimization_steps": 10, "probabilities": [0.03122434975565181, 0.03122434975565183], "optimization_time... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011", "010011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.4983893330425997) q[1];
cx q[0], q[1];
ry(0.4983893330425997) q[1];
cx q[0], q[1];
ry(1.066076181721017) q[0];
ry(-0.5938713995022797) q[1];
h q[2];
ry(1.5402154026626123) q[2];
h q[3];
ry(1.5402154026626123) q[3];
ry(-0.17623757719026006) 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": []} | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IZIZII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IZIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-2,
-0.5,
-1,
-0.5
] | 0.996974 | [
-1.5938656292948508,
-1.3287538149981546,
1.5402154026626123,
-0.9967786660851994,
0.7888739065478406,
-0.13160986921296364,
-0.42930010710070565,
0.5544045503463523,
-0.32914258480314823,
0.19808762382699582,
-0.14239960728529294,
0.027159174901727368,
0.17468980324708977,
-0.025156201310... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
4100956486e3cd626bf6b734439a9442 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 4, "source": 2, ... | {"states": [127, 41], "expectation_value": -3.0862406835051166, "params": [[-0.1341], [0.1379]], "bitstrings": ["10000000", "11010110"], "total_optimization_steps": 20, "probabilities": [0.010922797818671615, 0.011365893142099907], "optimization_time": 2.5662412643432617} | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(5) @ Z(4)) + -1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -1.25 * (Z(7) @ Z(4)) + 2.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.5, "smallest_bitstrings": ["11010110", "11011110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-0.36507215311141916) q[0];
ry(0.1606680727892612) q[0];
rz(-3.1120225183555164) q[0];
rz(-1.6974293651824617) q[1];
ry(0.12226078549667259) q[1];
rz(-1.765542409788857) q[1];
rz(1.4012838825746217) q[2];
ry(2.7094293037524295) q[2];
rz(0.4384078166226839) q[2];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIIZI",
"ZIIZIIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZIZII",
"ZIIIIZII",
"IZZIIIII",
"IZIIIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII"
] | [
-1,
-1,
-1.25,
-0.75,
-1.25,
2.5,
-0.25,
-1,
-1,
-0.75,
-1.5,
-0.5,
-1.75,
-1,
0.25,
-0.25,
-0.5,
-0.5,
0,
3,
-1.25,
-0.75
] | 0.97352 | [
0.1134832255971797,
1.1174981403632047,
0.09639840408591,
0.9532138935218629,
1.0658192895910572,
0.7517790201206351,
-0.12008148993226303,
0.9898750488260064,
-0.12636517154354449,
1.3801412492016694,
0.010841736970453125,
1.3004956258393354,
-0.046647450318931034,
1.7660312049563776,
-... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 7 |
e4e902d97ba530f1316e54d3eb408a10 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [100, 104], "expectation_value": -4.9998997789470465, "params": null, "bitstrings": ["0011011", "0010111"], "total_optimization_steps": 30, "probabilities": [1.7124344283732326e-05, 0.9999499575563242], "optimization_time": 28.508428812026978} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * Z(4) + -1.0 * Z(0) + -1.0 * Z(5) + -1.5 * Z(6) + -0.5 * Z(1) + -1.5 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0010111", "1011001"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.20474932317858316) q[0];
cx q[4], q[0];
h q[5];
cx q[0], q[5];
rz(0.20474932317858316) q[5];
cx q[0], q[5];
cx q[5], q[2];
rz(0.20474932317858316) q[2];
cx q[5], q[2];
h q[6];
cx q[4], q[6];
rz(0.20474932317858... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"ZIIIIZI",
"IZIIZII",
"ZIIIZII",
"IIIIZZI",
"IIZZIII",
"IZIZIII",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-1.5,
-0.5,
-1.5,
-1
] | 0.801209 | [
0.20474932317858316,
-0.3240348787124287,
-1.2280362453781932,
0.9491017238101566,
-1.2025271500568493,
0.7929478611771115,
-1.1200018461967594,
-1.53273361901408,
-0.37000974357398864,
-0.4997670003334295
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 253 |
4d70328aecc8c1ea3157fc10838636c1 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [22, 7], "expectation_value": -12.41713742248698, "params": null, "bitstrings": ["1101001", "1111000"], "total_optimization_steps": 64, "probabilities": [0.10636678277270013, 0.6088615559824023], "optimization_time": 88.63292670249939} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 18 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.027915315044976848) q[0];
rz(0.9079317232921404) q[0];
rx(-0.075741799279953) q[1];
rz(0.40344095680944037) q[1];
rx(-0.19726492599124124) q[2];
rz(0.3090192037444801) q[2];
rx(-0.054457467281475554) q[3];
rz(0.31152701050214304) q[3];
rx(0.980611838329351) q[4];
... | null | {"k": 4} | {"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(-1.5577) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
-3.5,
-3.25,
-3.25,
-3.5,
-3,
-3,
-3
] | 0.978518 | [
-0.02791531504497685,
0.7987750073775817,
-0.075741799279953,
0.1807703503826541,
-0.1972649259912412,
0.22315061411334475,
-0.05445746728147556,
0.17837210837707032,
0.980611838329351,
0.17196108918343747,
0.6762345045023291,
0.17168297010729175,
0.779897852478124,
-0.09894333872144807,
... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 17 |
b10e647670f759bc4f3dd1387515cbab | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [35, 75], "expectation_value": -0.07226167882816174, "params": [[-0.0747], [0.0719]], "bitstrings": ["1011100", "0110100"], "total_optimization_steps": 10, "probabilities": [0.008573687022627305, 0.008915261588609225], "optimization_time": 2.7941110134124756} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(3) @ Z(0)) + 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(3) @ Z(0) @ Z(4)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(3) @ Z(0) @ Z(5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["0110100"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.6059590783964175) q[1];
h q[2];
ry(-1.5435690642332873) q[2];
h q[3];
ry(-0.5332571362745683) q[3];
cx q[0], q[3];
ry(0.5332571362745683) q[3];
cx q[0], q[3];
ry(0.9119014324033945) q[0];
ry(-0.6753977872976624) q[3];
h q[4];
ry(1.6059590783964175) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"IIZZIIZ",
"IZIZIIZ",
"IZZIIIZ",
"IZZZIII",
"IZZZIIZ",
"IIIZIZI",
"ZIZIIII",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZII... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.125,
-0.5,
-0.75,
-0.125,
-0.125,
0.125,
-0.25
] | 0.993521 | [
-1.5435690642332873,
-1.3972417071881398,
1.6059590783964175,
-1.0665142725491366,
0.6111672878365482,
-0.1119226496394643,
-0.49139838766546845,
0.6014682891336927,
-0.3679987992643881,
0.33092884969918057,
-0.19658386032209535,
0.11017040147676396,
0.21045782912511068,
-0.041443516117334... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
ff4d8612be902cee01cbb69055101657 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [44, 56], "expectation_value": -3.496304682848828, "params": null, "bitstrings": ["010011", "000111"], "total_optimization_steps": 22, "probabilities": [0.06706466845673519, 0.9295035070619324], "optimization_time": 12.811722040176392} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["010110", "000111", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.004484549636475071) q[0];
cx q[4], q[0];
rz(0.7328109886623113) q[0];
rx(-0.8007113399707768) q[0];
cx q[4], q[1];
rz(-0.004484549636475071) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(-0.004484549636475071) q[3];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\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",
"IIZIZI",
"ZZIIII",
"ZIIIZI",
"ZIZIII",
"IZIZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-1,
0
] | 0.988988 | [
-0.004484549636475071,
-1.0690450112060856,
0.7328109886623114,
-1.0758900725224467,
0.8535075540902197,
-0.8007113399707768,
0.07221895186456898,
-0.520197576338447,
-0.671789822082748,
0.6519376481542358,
-0.8638708047021346,
0.2718423097134407,
-0.8220673049085121,
-0.492579786025785,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 32 |
ceada473950316c985fdaa58a8618609 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 3}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [189, 109], "expectation_value": -24.283461034118876, "params": [[0.0304, 0.0021000000000000003], [-0.0857, -0.0698]], "bitstrings": ["01000010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.010759926789602728, 0.012786529602442503], "optimization_time": 5.282262563705444} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 167.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.018928191739904274) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.018928191739904274) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.018928191739904274) q[2];
cx q[0], q[2];
rz(0.14657733939079343) q[0];
rx(0.3533677365058779) q[0];
h q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
14,
4.5,
17.5,
13,
15,
23,
6.5,
13.5
] | 0.971601 | [
0.018928191739904274,
-1.2296849783401864,
0.14657733939079362,
-1.2247777007286582,
-0.06013279515597353,
-2.0386095780878914,
-1.6431671013193643,
0.6421356284179992,
-1.8359197421625808,
0.3533677365058779,
-0.05358507740007074,
-0.44427693109859534,
1.4350546521930594,
-0.6327842321609... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 68 |
-4157298599113952080 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 1, 2, 4], [3, 4]]} | {"states": [17, 21], "expectation_value": -0.7032346403041855, "params": [[[3.1386000000000003, 0.0066], [0.5098, 0.006200000000000001], [1.5774000000000001, 0.0097], [-0.0027, 0.0051], [3.1445000000000003, 0.0045000000000000005]]], "bitstrings": ["01110", "01010"], "total_optimization_steps": 370, "probabilities": [0.... | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * Z(1) + 0.125 * Z(0) + 0.125 * Z(2) + 0.125 * Z(4) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.75, -0.75, -0.75, -0.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["10010", "00001", "00110", "01010"], "largest_eigenvalue": 1.4999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.019360516388462902) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.019360516388462902) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.019360516388462902) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.019360516388462902) 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;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.125,
0.125,
0.125,
0.125,
0
] | 0.972544 | [
0.019360516388462902,
2.7256793967472444,
1.578083821606951,
-1.7733303661796511,
-1.613364144373703
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -0.75,
"target_ratio": 0.97,
"target_value": -0.7275
} | 33 |
84b91339520a2e133912f29f3a567751 | 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": [343, 361], "expectation_value": -32.35079404037904, "params": [[[-1.3613, 1.4080000000000001], [0.9517, 1.403], [1.4065, 0.9882000000000001], [0.8604, 1.3637000000000001], [0.7729, 0.1885], [1.4002000000000001, 1.3988], [1.3936000000000002, 1.3938000000000001], [1.4052, 1.4059000000000001], [1.4083, 0.40940... | 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(1) @ Z(3)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(0) @ Z(9)) + 13.5 * Z(3) + 11.0 * Z(2) + 13.5 * Z(1) + 8.0 * Z(4) + 1.0 * Z(5) + 7.5 * Z(6) + 0.5 * Z(7) + -5.5 *... | 15 | 10 | 1 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["1010010110"], "largest_eigenvalue": 114.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.46487477783556064) q[0];
ry(0.5116205448440455) q[1];
ry(0.0142830711978741) q[2];
ry(0.8628172849559117) q[3];
ry(0.7119910842826013) q[4];
ry(-0.0761487583047973) q[5];
ry(0.4312779604820611) q[6];
ry(0.2391358611755022) q[7];
ry(-0.10856737560409792) q[8];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IZIIIIIIZI",
"ZIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIIZ"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
13.5,
11,
13.5,
8,
1,
7.5,
0.5,
-5.5,
-0.5,
-4.5
] | 0.970721 | [
0.46487477783556064,
0.5116205448440455,
0.0142830711978741,
0.8628172849559117,
0.7119910842826013,
-0.0761487583047973,
0.4312779604820611,
0.2391358611755022,
-0.10856737560409792,
0.20919945584009186,
0.01821444309163893,
-0.05938475899967636,
-0.0378181377917079,
0.008708819742284433,... | {
"n_parameters": 77,
"n_qubits": 10,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 109 |
0714803fc241e2360d666ed1e871e287 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": ... | {"states": [126, 383], "expectation_value": -11.500398534132675, "params": null, "bitstrings": ["1110000001", "1010000000"], "total_optimization_steps": 100, "probabilities": [0.14730060603826467, 0.44090848773427527], "optimization_time": 149.66807222366333} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(1) + 0.5 * Z(9) | 5 | 10 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1010000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.14846640452963045) q[0];
rz(3.0061029413784865) q[0];
rx(-0.5708411447250665) q[1];
rz(2.0579878056276186) q[1];
rx(-0.1919544438207895) q[2];
rz(3.0189865220847594) q[2];
rx(-0.6879021959892385) q[3];
rz(2.5669911309546283) q[3];
rx(-0.6795280981274134) q[4];
rz(... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5706) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"IIIIIIIIZI",
"ZIIIIIIIII"
] | [
-1.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-1,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.956767 | [
0.14846640452963045,
1.4353066145835893,
-0.5708411447250665,
0.4871914788327228,
-0.19195444382078952,
1.4481901952898621,
-0.6879021959892386,
0.9961948041597318,
-0.6795280981274134,
1.0045006078794925,
-1.2197500639970589,
1.1562495736107823,
-1.1716393087263306,
1.0272924742532643,
... | {
"n_parameters": 148,
"n_qubits": 10,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
fb354d60453679d679afcbc2ef259e36 | 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": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 26], "expectation_value": -0.3970360909473307, "params": [[-0.0613, -0.0603], [0.0685, 0.0636]], "bitstrings": ["011110", "100101"], "total_optimization_steps": 10, "probabilities": [0.019483465818023595, 0.021022394644378398], "optimization_time": 3.8091554641723633} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.771457845796399) q[0];
rz(0.20583293908457456) q[0];
rx(0.9226641717609871) q[1];
rz(0.16372671104574926) q[1];
cx q[1], q[0];
rz(-0.04382293817596074) q[0];
cx q[1], q[0];
rx(0.7533216915569005) q[0];
rz(0.05206125349230284) q[0];
rz(0.06315738960408568) q[1];
rx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1,
-1,
-0.5
] | 0.97422 | [
0.7714578457963991,
0.16201000090861373,
0.9226641717609871,
0.16372671104574926,
1.1584520372173939,
-0.006876482614402969,
0.0444164020346387,
0.25393271130854,
-0.047803904028318286,
-0.03324698493440209,
-0.03689418107124742,
0.10406937110530717,
0.643156446848987,
0.15964110472260815,... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 13 |
4f3f5177c9a3f446d5fcf2165ff37690 | 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": [714, 710], "expectation_value": -105.46748514753672, "params": [0.00030000000000000003, 0.8898, 0.8, 0.2456, -0.0056, 0.2973, 0.7612, -0.0092, 0.7933, 0.186, 0.0017000000000000001, 0.7296, -0.0021000000000000003, 0.9098, 0.7645000000000001, -0.17350000000000002, 0.7345, 0.1139, 0.8069000000000001, 0.0079, 0... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(10) @ Z(9)) + 6.5 * Z(1) + -3.5 * Z(0) + 1.5 * Z(2) + 15.0 * Z(4) + 9.5 * Z(3) + 1.5 * Z(5) + -0.5 * Z(8) + 1.5 * Z(7) + 8.0 * Z(9) + -... | 18 | 11 | 4 | {"smallest_eigenvalues": [-111.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.5, "smallest_bitstrings": ["10100111001"], "largest_eigenvalue": 114.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.14425583596013333) q[0];
rz(0.16699255558882165) q[0];
rx(0.8887425030160387) q[1];
rz(0.4791682728028231) q[1];
rx(-0.08347728864173092) q[2];
rz(0.30973344881091236) q[2];
rx(1.0342664020589738) q[3];
rz(0.11572862721822887) q[3];
rx(0.5565563703872619) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIZZIIIIIII",
"IZIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"IZIIIIIIIII",
"ZIIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
6.5,
-3.5,
1.5,
15,
9.5,
1.5,
-0.5,
1.5,
8,
-7,
-14.5
] | 0.97729 | [
0.14425583596013333,
0.6115566369441399,
0.8887425030160387,
0.4791682728028231,
-0.08347728864173092,
0.30973344881091236,
1.0342664020589738,
0.11572862721822887,
0.5565563703872619,
0.13603478572029049,
0.08146100184920506,
0.6675275665759508,
0.20222183194704582,
0.9796327950160061,
... | {
"n_parameters": 126,
"n_qubits": 11,
"optimal_eigenvalue": -111.5,
"target_ratio": 0.97,
"target_value": -108.155
} | 25 |
fc004364023d9de40312a47332ff3203 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [339, 493], "expectation_value": -1.8172212190090735, "params": [[[0.258, 1.0105], [0.0782, 1.2], [0.8234, 0.5428000000000001], [1.0470000000000002, 0.7686000000000001], [1.0753000000000001, 0.3038], [0.1227, 1.1989], [-0.13090000000000002, 1.1989], [0.4213, 0.38570000000000004], [0.2912, 0.4304], [0.0011, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(4) @ Z(7)) + 0.... | 15 | 10 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.375, "smallest_bitstrings": ["1000010010", "1000001100", "0101001000", "0011100000", "1000100001"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.9064729368977194) q[0];
ry(-0.649182173265523) q[1];
h q[2];
ry(1.4324240142859173) q[2];
cx q[2], q[0];
ry(-0.23353815411777684) q[0];
cx q[2], q[0];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIZZZIIII",
"IIIIIZIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIZIIZIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IIZIIZIIZI",
"IZIIIZIIZI",
"IZZIIIIIZI",
"IZZIIZIIII",
"IZZIIZIIZI"... | [
0.25,
0.25,
0.25,
-0.25,
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,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0... | 0.987812 | [
-1.5986606768365204,
-1.6185309131181278,
-1.6846005430182638,
1.4324240142859173,
-1.2254824610842985,
0.6729347827799425,
-0.5013102898575983,
0.4670763082355537,
-0.2957437668158493,
-0.01748577060486424,
-0.06482151295528986,
0.013714043898860342,
-0.001963044877672917,
0.1760142459784... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
ed01866ce53def5a36a69737a2fd120b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [99, 67], "expectation_value": -0.038140253960864214, "params": [[0.0364], [-0.0376]], "bitstrings": ["10011100", "10111100"], "total_optimization_steps": 10, "probabilities": [0.004089179079857757, 0.0040892401550323455], "optimization_time": 1.976696252822876} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.25 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000100", "10001100", "10011100", "10111100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.129145857303265) q[0];
rz(-0.04281809130716757) q[0];
rx(3.3646756556499158) q[1];
rz(-0.07126208372567235) q[1];
rx(0.2591409259719783) q[2];
rz(0.304554161903536) q[2];
rx(0.009149764329273965) q[3];
rz(-0.1564246855355176) q[3];
rx(-0.039435622912399666) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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[2], q[0];
rz(x0) q[0];
cx q[2],... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIIIZII",
"ZZIIIIII",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII"
] | [
-0.25,
-0.25,
-0.5,
-0.25,
1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
0,
-0.25,
0,
-1,
0.25,
0.25,
0.25,
0.5
] | 0.974438 | [
-0.129145857303265,
-0.04281809130716757,
3.3646756556499158,
-0.07126208372567235,
0.2591409259719783,
0.304554161903536,
0.009149764329273965,
-0.1564246855355176,
-0.039435622912399666,
-0.14455685554995432,
0.29369761094609903,
2.532166941005374,
-0.020718965674505502,
3.10609841605757... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
-2933049049569637002 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 4, 1], [0, 2], [6, 7], [0, 7], [1, 7], [9, 2, 4, 7], [2, 3, 5], [8, 3]]} | {"states": [228, 229], "expectation_value": -2.9567598674778215, "params": null, "bitstrings": ["1100011011", "1100011010"], "total_optimization_steps": 68, "probabilities": [0.09464556932222849, 0.7410834392968747], "optimization_time": 98.97069311141968} | 0.25 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(9)) + 0.5 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.166666666666666, -3.166666666666666], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.083333333333333, "smallest_bitstrings": ["1101001000", "1100011010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.02457197748607594) q[0];
rz(1.3568163274665928) q[0];
rx(0.6514866590259528) q[1];
rz(1.6245315800720146) q[1];
rx(2.092421073471889) q[2];
rz(1.4885459859127437) q[2];
rx(1.9417103690488322) q[3];
rz(1.6761803700057243) q[3];
rx(1.8497458137337437) q[4];
rz(1.379... | 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(1.1408) 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]... | [
"ZIIIIZIIII",
"IIIIIZIIZI",
"ZIIIIIIIZI",
"IIIIIZIZII",
"ZIIIIIIZII",
"IIIIIIIZIZ",
"IIZIIZIIII",
"ZIZIIIIIII",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIIIIIZZII",
"IIIIZIIZII",
"IIIIZIZIII",
"IZIIIIZIII",
"IIIIIZIIII",
"ZIIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII"... | [
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.29166666666666663,
0.29166666666666663,... | 0.975749 | [
0.024571977486075938,
-0.21397999932830367,
0.6514866590259529,
0.0537352532771181,
2.092421073471889,
-0.08225034088215276,
1.9417103690488322,
0.10538404321082828,
1.849745813733744,
-0.19163758485544724,
0.4224300843054898,
-0.2681156939931687,
0.5661458360103534,
-0.21484619878629346,
... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -3.166666666666666,
"target_ratio": 0.97,
"target_value": -3.071666666666666
} | 108 |
4ded767c90d9410be35df06c5e86627d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "ta... | {"states": [0, 127], "expectation_value": -14.59531346207753, "params": [[[0.0027, 1.609], [0.0018000000000000002, 0.0017000000000000001], [0.003, 0.0023], [0.0028, -0.003], [0.0023, 0.0022], [0.0021000000000000003, 0.0021000000000000003], [0.0024000000000000002, 0.0026000000000000003]]], "bitstrings": ["1111111", "000... | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 1.0 * Z(0) + -1.5 * Z(2) + 1.0 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 15 | 7 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(0.7317957397550816) q[0];
h q[1];
ry(0.6423205112367636) q[1];
h q[2];
h q[3];
ry(0.3916501642356271) q[3];
cx q[2], q[3];
ry(-0.3916501642356271) q[3];
cx q[2], q[3];
cx q[3], q[0];
ry(-0.7317957397550816) q[0];
cx q[3], q[0];
cx q[0], q[1];
ry(-0.6423205112... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
ry(x0) q[0];
ry(x1... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-2,
1,
-2.5,
-2,
-2,
-2.5,
-1.5,
-1.5,
-1.5,
0.5,
1,
-1.5,
1,
0.5,
0.5,
0.5
] | 0.932369 | [
0.7833003284712542,
1.4635914795101632,
1.2846410224735272,
1.7719032136112738,
0.35167493733346644,
0.5194074103958128,
0.008236568149185526,
0.0568327105051797,
0.004084553333326019,
1.5200951747729559,
1.23922952406419,
-1.5687809621126374,
2.3588903721320023,
0.008623543562162628,
0.... | {
"n_parameters": 44,
"n_qubits": 7,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 500 |
281d21ec8ac6f46cd51560ec916b23ad | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [0, 960], "expectation_value": -35.50315476568467, "params": [-0.2071, 1.0377, -0.19060000000000002, 0.0035, -1.1577, 0.3234, 0.24050000000000002, 0.005, -1.135, 0.23650000000000002, -0.0171, 0.0071, -0.5589000000000001, 0.2846, -0.1246, 0.007, -0.0031000000000000003, 2.5735, 0.0026000000000000003, 0.0075000... | -2.0 * (Z(0) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -3.5 * (Z(4) @ Z(5)) + -3.5 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(4)) + -3.5 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + -3.5 * (Z(6) @ Z(8)) + -3.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 1.... | 6 | 10 | 1 | {"smallest_eigenvalues": [-38.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.0, "smallest_bitstrings": ["0000111111"], "largest_eigenvalue": 39.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.3406195727919964) q[0];
rz(2.182321541535053) q[0];
rx(-2.008189784513336) q[1];
rz(1.5177236275474595) q[1];
rx(-2.1797648066161734) q[2];
rz(1.6925728235840722) q[2];
rx(-0.4894244577322798) q[3];
rz(1.7473231931631865) q[3];
rx(-0.019337256107903468) 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[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIZZIIII",
"IZIIZIIIII",
"IZIIIZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IZIZIIIIII",
"IIZIZIIIII",
"IIZIIZIIII",
"IZZIIIIIII",
"IIZZIIIIII",
"ZIIIZIIIII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"ZIIZIIIIII"... | [
-2,
1,
-2,
-2,
1,
-2,
-3.5,
-3.5,
-3,
-3.5,
1,
-3.5,
-3.5,
0.5,
1.5,
-2.5,
-3.5,
1,
-3.5,
1.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
-3,
-1.5,
-2.5,
1.5,
1,
1.5
] | 0.970176 | [
-0.34061957279199634,
0.6115252147401563,
-2.008189784513336,
-0.053072699247436864,
-2.1797648066161734,
0.12177649678917482,
-0.4894244577322799,
0.17652686636829104,
-0.01933725610790347,
2.0288870042897362,
0.04246014888726053,
2.272131468432491,
0.036812342480478356,
2.393580029015962... | {
"n_parameters": 45,
"n_qubits": 10,
"optimal_eigenvalue": -38,
"target_ratio": 0.97,
"target_value": -36.86
} | 105 |
4595906142819083680 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1], [9, 2, 3, 7], [8, 1, 2, 5], [5, 6, 8, 9, 10], [0, 6], [3, 4], [0, 9, 4], [1, 10], [10, 5, 7], [1, 5, 7], [0, 2, 3, 5, 10], [0, 9, 7], [9, 3, 5, 1], [8, 9, 4], [9, 2, 4, 1], [8, 7], [8, 3, 5, 6], [8, 4, 5, 6], [1, 6, 7], [9, 5, 7], [9, 10, 3, 5]]} | {"states": [189, 701], "expectation_value": -3.806488166174094, "params": [0.5315, 0.4108, 0.5332, 0.0034000000000000002, 1.1943000000000001, 0.1709, 1.1602000000000001, 0.0007, 1.1536, 0.35550000000000004, 0.7871, 0.0016, 1.2955, 0.0007, 1.2894, 0.0077, 0.6713, -0.3366, 0.6716000000000001, 0.0048000000000000004, 1.293... | 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(10) @ Z(1)) + 0.3333333333333333 * (Z(10) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(10)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(0)) + 0.25 * (Z(4) @ Z(10)) + 0.13333333333333333 * (Z(4) @ Z(3)) ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-5.366666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.233333333333334, "smallest_bitstrings": ["10101000010"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.05904619366814007) q[0];
rz(0.1429112631191023) q[0];
rx(1.7618389623739057) q[1];
rz(0.12599671826095982) q[1];
rx(0.5202690330891663) q[2];
rz(1.56707708603673) q[2];
rx(1.5562101345967143) q[3];
rz(-0.23396046921553193) q[3];
rx(0.1105210917247652) 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": []} | [
"IIIIIIIIIZZ",
"ZIIIIIIIIZI",
"ZIIIIIIIIIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"ZIIIIIIZIII",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"ZIIIIIZIIII",
"IIIIIIZZIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"ZIZIIIIIIII",
"IIZIIIIZIII",
"IIZIIIZIIII",
"IZIIIIIIIZI",
"ZZIIIIIIIII",
"IZIIIIIZIII",
"IZIIIIZII... | [
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.05,
0.16666666666666666,
0.08333333333333333,
0.05,
0.25,
0.13333333333333333,
0.3333333333333333,
0.16666666666666666,
0.41666666666666663,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.216666666... | 0.975055 | [
0.05904619366814007,
-0.20125850618936517,
1.7618389623739055,
0.1559898509476773,
0.5202690330891663,
1.33468427685424,
1.5562101345967148,
-0.2596739340414119,
0.11052109172476521,
-0.01879455724868788,
1.8246073411347818,
-0.3671529019996037,
1.8778117252963145,
-0.021003314534171244,
... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -5.366666666666665,
"target_ratio": 0.97,
"target_value": -5.205666666666665
} | 62 |
4b286739930aa40acbbd407a2e9abf0c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [335, 327], "expectation_value": -64.34454278733998, "params": [0.9945, 0.1701, 0.446, 0.3264, 0.9909, 0.0044, 0.0058000000000000005, 0.5606, -0.0009000000000000001, -0.5685, 0.4954, 0.3488, 0.9968, 0.0045000000000000005, 0.7052, 0.0426, 1.0035, -0.0012000000000000001, 0.992, 0.13870000000000002, 0.454, 0.29... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(3) @ Z(8)) + 16.0 * Z(2) + 9.5 * Z(1) + 18.0 * Z(0) + -3.5 * Z(4) + 9.5 * Z(6) + 10.0 * Z(5) + 6.5 * Z(7) + 3.0 *... | 18 | 9 | 3 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["010111000"], "largest_eigenvalue": 128.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.090091404885311) q[0];
rz(0.3550844599225291) q[0];
rx(0.25736150271657765) q[1];
rz(0.6053739380231377) q[1];
rx(0.8991237342563659) q[2];
rz(0.2397301685433315) q[2];
rx(0.02440253958476489) q[3];
rz(0.651997697566847) q[3];
rx(-0.09697792854086384) q[4];
rz(-0.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIZIZII",
"IIZIIIIZI",
"IIIZIIIIZ",
"IIZZIIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"ZIIIIZIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIZIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
16,
9.5,
18,
-3.5,
9.5,
10,
6.5,
3,
-5
] | 0.982003 | [
1.0900914048853108,
0.4202966393992375,
0.25736150271657765,
0.6053739380231377,
0.8991237342563659,
0.2397301685433315,
0.02440253958476489,
0.651997697566847,
-0.09697792854086384,
-0.6142230657290508,
-0.10976521866711371,
0.43652173609850553,
1.122817933148462,
0.15439901711705117,
0... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -78,
"target_ratio": 0.97,
"target_value": -75.66
} | 11 |
8627cac5692b6aae3c2c208c37b0b1f4 | 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": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 5, "target": 7}, {"sour... | {"states": [31, 127], "expectation_value": -11.244578587498467, "params": null, "bitstrings": ["11100000", "10000000"], "total_optimization_steps": 86, "probabilities": [0.1592008064546003, 0.5022972370620267], "optimization_time": 118.70922660827637} | -1.0 * (Z(1) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(3)) + -2.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.8488629866718265) q[0];
rz(0.06973261518818183) q[0];
rx(-0.06805114516913745) q[1];
rz(0.048391092564758806) q[1];
rx(0.014912686430725186) q[2];
rz(0.048391092564758806) q[2];
rx(-0.03842465069051541) q[3];
rz(-0.10158869724559011) q[3];
rx(-0.06528783705505248) ... | 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[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIZZI",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIIZ"
] | [
-1,
-2.5,
1,
-2,
-2,
0.5,
0.5,
-2.5,
1,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.974501 | [
1.8488629866718265,
0.06973261518818183,
-0.06805114516913745,
0.048391092564758806,
0.014912686430725186,
-0.03842465069051541,
-0.10158869724559011,
-0.06528783705505248,
-0.087975901203544,
-0.031374305504709585,
-0.24965651382927773,
0.033916478997841976,
-0.002774375493819016,
3.10042... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 2 |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 2, "target": 1}]} | {"states": [3, 1], "expectation_value": -1.017754621227219, "params": [[-0.043000000000000003, -0.054200000000000005, -0.054, -0.0626], [0.042, 0.0541, 0.0585, 0.066]], "bitstrings": ["1100", "1110"], "total_optimization_steps": 10, "probabilities": [0.1058910739034381, 0.11334935591541558], "optimization_time": 2.0991... | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -1.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 1.0 * Z(2) | 1 | 4 | 4 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13943302053146128) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.2546523334796689) q[2];
cx q[1], q[2];
rz(-0.7155720410694917) q[1];
rx(-1.7587368543198154) q[1];
rz(0.6317748164920753) q[2];
rx(-1.7587368543198154) q[2];
h q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZIIZ",
"IZZI",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
-0.75,
1,
-1,
-1.75,
-0.25,
1,
1
] | 0.974967 | [
-0.13943302053146128,
0.6317748164920755,
-0.2546523334796689,
-0.7155720410694918,
-0.8847263429635749,
-1.7587368543198154,
-0.39840533455052923,
0.9596950419953695,
-0.3894973625686309,
-1.5007620154927859,
-0.8383337619275093,
-0.8965996704617766
] | {
"n_parameters": 12,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 48 |
44e8495c1eeae4e26ce46cf2532bece4 | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 6... | {"states": [45, 41], "expectation_value": -15.638706323606964, "params": null, "bitstrings": ["1010010", "1010110"], "total_optimization_steps": 60, "probabilities": [0.23385726160713027, 0.46952566867748324], "optimization_time": 74.8736891746521} | -1.25 * (Z(0) @ Z(2)) + -1.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(0)) + 4.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 3.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1010110"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5519503449681885) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.017208535175287056) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1480152089961798) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.017208535175287056) q[4];
cx ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.2796) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
-1.25,
-1.75,
-1,
-1.75,
-1.75,
4.25,
-1.75,
-0.5,
-1.75,
-0.75,
-1,
-1.75,
-1,
-0.25,
3,
-3.5,
0.75,
4,
-3
] | 0.971147 | [
-0.5519503449681885,
0.017208535175287056,
-0.1480152089961798,
0.27545424319755374,
0.12372846103740961,
-0.38112154939511655,
-0.34473723335479495,
0.32909856397856396,
-0.11483012108538189,
0.15375169245769268,
0.2619884410144011,
-0.08643920947285949,
-0.6077504432577657,
0.41782139429... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -23.75,
"target_ratio": 0.97,
"target_value": -23.037499999999998
} | 174 |
9b6c90aee56ab84919f7c826e678a024 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [35, 37], "expectation_value": -2.3403891236552696, "params": null, "bitstrings": ["011100", "011010"], "total_optimization_steps": 31, "probabilities": [0.09171740636696295, 0.7966511080330144], "optimization_time": 36.525453090667725} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(2) @ Z(5)) + 0.12... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.375, "smallest_bitstrings": ["101010", "011010", "011100"], "largest_eigenvalue": 4.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
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(-1.5158) 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",
"IZZIII",
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"IIZZII",
"ZIIZII",
"ZIZIII",
"IIZZIZ",
"ZIIZIZ",
"ZIZIIZ",
"ZIZZII",
"ZIZZIZ",
"IZIIZI",
"ZIIIZI",
"ZZIIII",
"ZZIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.125,
-0.25,
-0.625,
-0.125,
-0.25,
0.125
] | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
4ab3a9f98a5ea141820b159d6cb4ba53 | 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": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, ... | {"states": [127, 1], "expectation_value": -1.1467311569594638, "params": [[0.07100000000000001, 0.0726], [-0.0609, -0.0648]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0070184864083333715, 0.007981928285547306], "optimization_time": 3.5714621543884277} | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(6) @... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110"], "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(-0.0013706428279065723) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.00010981936015503954) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.0013706428279065723) q[1];
cx q[4], q[1];
cx q[4], 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIIZZIII",
"IIZIZIII",
"IIIIZIZI",
"ZIIIIIIZ",
"ZIZIIIII",
"ZIIIIIZI",
"IIIZIZII",
"IIIIIZZI",
"IZZIIIII",
"IZIIIZII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IZIIIII... | [
-0.5,
-0.25,
-1,
-0.5,
-0.75,
-0.75,
-0.25,
-1,
1.75,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
1.5,
-0.25,
-2,
0.25,
-0.5,
0.75,
0.25,
0
] | 0.888779 | [
-0.0013706428279065723,
-0.00010981936015503954,
-0.34349356379920065,
0.00130053351478626,
-0.04402465492122473,
0.3214620856398223,
-1.3872688537466278,
1.3541775381691896,
1.2769370230312556,
0.2943504933839812,
-1.6935386960659888,
-0.0012981114320172187,
-0.0032326859986172365,
-1.409... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 500 |
6daf67fc667d94fb23185963f87d67d3 | 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": [318, 316], "expectation_value": -101.52501684684512, "params": [0.21050000000000002, -0.25730000000000003, 0.7019000000000001, -0.0922, 0.2594, -0.1701, -0.0048000000000000004, 0.444, 0.7032, 0.0035, 0.6836, 0.0108, 0.6928000000000001, 0.0051, 0.7030000000000001, 0.0918, 0.3336, 0.1951, 0.0011, 0.4021, 0.20... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(5) @ Z(8)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(6) @ Z(0)) + 7.5 * (Z(6) @ Z(8)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(9) @ Z(4)) + 16.5 * Z(1) + 2.0 * Z(0) + 3.5 * Z... | 18 | 10 | 4 | {"smallest_eigenvalues": [-122.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -112.5, "smallest_bitstrings": ["1011000011"], "largest_eigenvalue": 196.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.07860080236822704) q[0];
rz(-0.4301279964494604) q[0];
rx(0.7792144631184347) q[1];
rz(0.1016976707731145) q[1];
rx(0.14539531601790978) q[2];
rz(-0.09892564344799488) q[2];
rx(-0.11347606229435758) q[3];
rz(0.47939699910416306) q[3];
rx(0.7296896331348288) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIZZIII",
"IZIIZIIIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IZIZIIIIII",
"IIIZZIIIII",
"IIZIIIIZII",
"IZZIIIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"ZIIIIZIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IZIIIIIIII",
"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,
16.5,
2,
3.5,
-4,
8,
9.5,
14.5,
29.5,
22.5,
-5
] | 0.973535 | [
-0.07860080236822706,
-0.24280647380143533,
0.7792144631184347,
0.1016976707731145,
0.14539531601790978,
-0.09892564344799488,
-0.11347606229435758,
0.47939699910416306,
0.7296896331348288,
0.02336107007276206,
0.8455003307855982,
0.18350426265188025,
1.0371582417800485,
-0.288821663768421... | {
"n_parameters": 114,
"n_qubits": 10,
"optimal_eigenvalue": -122.5,
"target_ratio": 0.97,
"target_value": -118.825
} | 8 |
fa1aa02644db6485d126884facd8fbe5 | 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": 5}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}]} | {"states": [53, 60], "expectation_value": -3.4991049533046077, "params": null, "bitstrings": ["1001010", "1000011"], "total_optimization_steps": 32, "probabilities": [0.06552859483792234, 0.9338463438639887], "optimization_time": 27.167481899261475} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(3) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011010", "1001010", "1000011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0074207548089881) q[0];
cx q[2], q[0];
rz(-1.62559946447614) q[2];
rx(1.5247430591609956) q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.0074207548089881) q[5];
cx q[0], q[5];
cx q[0], q[3];
rz(-0.0074207548089881) q[3];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IZIIIIZ",
"IIIZIIZ",
"IZIIIZI",
"ZIIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-1,
-0.5,
0,
0,
0
] | 0.972476 | [
-0.0074207548089881,
-1.62559946447614,
1.6942216147964604,
1.1633760167161522,
1.5247430591609958,
0.061183352847591965,
0.7500638384568105,
0.2284438797758424,
0.09388118757753881
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 24 |
b4844a241e7c75ea7eb690acd3c4c004 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [413, 350], "expectation_value": -0.2685987255826636, "params": [[0.0516, 0.020300000000000002], [-0.054200000000000005, -0.0269]], "bitstrings": ["001100010", "010100001"], "total_optimization_steps": 10, "probabilities": [0.002244013188108112, 0.002244013188108113], "optimization_time": 4.855303049087524} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.25, "smallest_bitstrings": ["001010100", "001100010", "100001010", "010001100", "010100001", "100010001"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
c502b67eb6d91d909ba398fa39bec60c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [20, 23], "expectation_value": -3.499934076181417, "params": null, "bitstrings": ["01011", "01000"], "total_optimization_steps": 19, "probabilities": [1.3833501308055688e-05, 0.9999481856908635], "optimization_time": 11.581056594848633} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(-0.057394609977100594) q[0];
ry(1.5139044986832286) q[1];
ry(0.02914218421175388) q[2];
ry(-0.044368933537627414) q[3];
ry(1.4230068144719492) q[4];
ry(-0.11603950978641897) q[5];
ry(-0.5094548802261205) q[6];
ry(0.04971594069488461) q[7];
ry(0.04895829829331563) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IZIZI",
"ZIIZI",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
0,
0,
0
] | 0.971723 | [
-0.057394609977100594,
1.5139044986832286,
0.02914218421175388,
-0.044368933537627414,
1.4230068144719492,
-0.11603950978641897,
-0.5094548802261205,
0.04971594069488461,
0.04895829829331563,
-0.1877934380534667,
1.2428533808206035,
0.09499352879649384,
2.05426296872183,
0.0193934036593824... | {
"n_parameters": 30,
"n_qubits": 15,
"optimal_eigenvalue": -7.999999999999979,
"target_ratio": 0.97,
"target_value": -7.759999999999979
} | 54 |
b4844a241e7c75ea7eb690acd3c4c004 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 2], "expectation_value": -0.8831399904840993, "params": null, "bitstrings": ["110", "101"], "total_optimization_steps": 8, "probabilities": [0.12891599074045149, 0.7538151034229991], "optimization_time": 3.391557455062866} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| 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[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(-1.4449) q[0];\ncry(-1.0398... | [
"IZZ",
"ZIZ",
"ZZI",
"IIZ",
"IZI",
"ZII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
4ebe1ba332cd617b8e5bd7ef47d6eab4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [11, 139], "expectation_value": -4.712869698894551, "params": [1.599, -0.003, 0.5839, 0.0035, 0.1497, 0.5158, 0.017400000000000002, -0.0016, 1.6033000000000002, 0.0041, 0.0964, 0.3377, 1.5981, 0.0012000000000000001, 1.6034000000000002, 0.0016, -1.5842, -0.6231, 0.5377000000000001, -0.020900000000000002, -1.5... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 *... | 4 | 8 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01110100"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(3.08870323067932) q[0];
rz(1.6819240221019642) q[0];
rx(-0.04570883517282164) q[1];
rz(1.1272716699860155) q[1];
rx(0.02474308042117736) q[2];
rz(2.1406427111411253) q[2];
rx(0.5937660382980956) q[3];
rz(1.8977178681854747) q[3];
rx(-2.8887005988769414) q[4];
rz(1.70... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIIZ",
"IZIIIIZI",
"IIIZIZII",
"IIZZIIII",
"ZIIIIZII",
"ZIZIIIII",
"IIZIZIII",
"IZIIZIII",
"IIIZZIII",
"ZIIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-1,
-1,
-1.5
] | 0.981128 | [
3.08870323067932,
0.11112769530706779,
-0.045708835172821635,
-0.4435246568088822,
0.024743080421177358,
0.5698463843462287,
0.5937660382980956,
0.3269215413905779,
3.3944847083026453,
0.13445881974186558,
-0.008393596833474036,
0.12442331432720782,
1.3018955640540524,
0.15541956496448905,... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 17 |
3855709974827586501 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 4], [0, 2, 3, 5], [1, 2, 5], [0, 1, 5], [1, 2, 3], [0, 1, 2]]} | {"states": [55, 45], "expectation_value": -0.9684795999050789, "params": [[-0.36310000000000003], [0.37170000000000003]], "bitstrings": ["001000", "010010"], "total_optimization_steps": 40, "probabilities": [0.033741127967326943, 0.03462875566541765], "optimization_time": 1.2509171962738037} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(1... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5833333333333344], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5000000000000004, "smallest_bitstrings": ["010010"], "largest_eigenvalue": 6.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(3.3029619351984776) q[0];
rz(0.07929321907401084) q[0];
rx(0.06129005699003766) q[1];
rz(-0.22879360623107164) q[1];
rx(3.1615979241893806) q[2];
rz(-0.29775228884901644) q[2];
rx(2.691637147622413) q[3];
rz(0.5139827662011793) q[3];
rx(0.6276317180760962) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IIIIZZ",
"IIZIZI",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.25,
0.08333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.7500000000000001,
0.5833333333333335,
0.41666666666666674,
... | 0.973816 | [
3.3029619351984776,
0.07929321907401084,
0.06129005699003766,
-0.22879360623107164,
3.1615979241893806,
-0.29775228884901644,
2.691637147622413,
0.5139827662011793,
0.6276317180760962,
-0.5147931526277356,
2.900074752359019,
-0.2004567099873708
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -1.5833333333333344,
"target_ratio": 0.97,
"target_value": -1.5358333333333343
} | 15 |
410a620476bb1ab89428221268021245 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [20, 80], "expectation_value": -2.5649170485814303, "params": [[0.0752, 0.0712, 0.0753], [-0.0767, -0.0604, -0.0629]], "bitstrings": ["1101011", "0101111"], "total_optimization_steps": 10, "probabilities": [0.01557091379308365, 0.015570913793083667], "optimization_time": 5.781216859817505} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (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) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101011", "0101111", "1110101", "1110011", "0110111"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-1.525316287080557) q[1];
h q[2];
ry(-0.4635246956282743) q[2];
h q[3];
cx q[3], q[2];
ry(0.4635246956282743) q[2];
cx q[3], q[2];
ry(-0.7097453387884464) q[2];
ry(0.7841495963456939) q[3];
h q[4];
ry(-0.4635246956282743) q[4];
cx q[0], q[4];
ry(0.463... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIIZZI",
"IZIIZII",
"ZIIIZII",
"IIIZIZI",
"ZIIZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1.5,
-1.5,
-2,
-2.5,
-1.5,
-1
] | 0.990361 | [
-1.525316287080557,
-1.6516093367694655,
-0.9270493912565486,
0.7841495963456939,
-0.551144413376185,
0.530091856908911,
0.5655279925104985,
-0.31720185082452274,
-0.42736748625662185,
0.05151037849362506,
-0.0336782670524875,
0.0448106142806983,
-0.017479746617684006
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
-7385117203467436562 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 5, 7], [1, 2, 3, 5, 6, 7], [0, 1, 2, 7], [0, 1, 3, 4, 6, 7], [0, 2, 3, 6, 7], [2, 4, 7]]} | {"states": [238, 252], "expectation_value": -0.5455771539188218, "params": [[0.281], [-0.2884]], "bitstrings": ["00010001", "00000011"], "total_optimization_steps": 30, "probabilities": [0.006522424105403603, 0.006522424105403606], "optimization_time": 2.6079037189483643} | 0.19999999999999998 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.23333333333333334 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(0)) + 0.11666666666666667 * (Z(7) @ Z(5)) + 0.11666666666666667 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(2) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.4333333333333336, -1.4333333333333336], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.366666666666667, "smallest_bitstrings": ["00010001", "00000011"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-5.014035367050449e-08) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(6.312857465995941e-08) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-1.6245618516368852e-09) q[5];
cx q[0], q[5];
h q[6];
h q[7];
cx q[1], q[7];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIIZI",
"IIZIIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIZII",
"ZIIIIZII",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIZIII",
"ZIIIZIII",
"IIIIZZII",
"IZIIIIZI",
"IZIIIIIZ",
"IZZIIIII",
"ZZIIIIII",
"IZIIIZII",
"IZIIZIII",
"IIIZIIZI",
"IIIZIII... | [
0.19999999999999998,
0.11666666666666667,
0.08333333333333333,
0.23333333333333334,
0.25,
0.11666666666666667,
0.11666666666666667,
0.13333333333333333,
0.03333333333333333,
0.33333333333333337,
0.06666666666666667,
0.08333333333333334,
0.03333333333333333,
0.11666666666666667,
0.0833333... | 0.861047 | [
-5.014035367050449e-8,
6.312857465995941e-8,
-1.6245618516368852e-9,
7.489385679451925e-8,
0.8561679303372937,
-2.4536605069542024e-7,
-4.594673102870682e-8,
1.9531183221154416e-8,
1.0055604567886955e-7,
3.1415925288757145,
1.5707963790845534,
-1.5707964265515892,
-1.5707968646479247,
1.57... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -1.4333333333333336,
"target_ratio": 0.97,
"target_value": -1.3903333333333334
} | 432 |
2038434859549264650 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 5, 6, 7], [1, 3, 4, 6, 7], [0, 3, 4, 7], [0, 1, 2, 3], [0, 2, 4, 7]]} | {"states": [183, 190], "expectation_value": -0.6325543467217055, "params": [[0.42310000000000003], [-0.42650000000000005]], "bitstrings": ["01001000", "01000001"], "total_optimization_steps": 50, "probabilities": [0.008414581440059122, 0.008414581440059122], "optimization_time": 3.4502346515655518} | 0.18333333333333335 * (Z(3) @ Z(4)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(5) @ Z(3)) + 0.1 * (Z(6) @ Z(4)) + 0.1 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(5)) + 0.26666666666666666 * (Z(7) @ Z(4)) + 0.18333333333333335 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(5)) + 0.1 * (Z(7) @ Z(6)) + 0.05 * (Z(1) @ Z(4)) + 0.13333333333333333 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.1500000000000004, -1.1500000000000004], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.15, "smallest_bitstrings": ["01000101", "01000001"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(-2.2753452107342804) q[2];
rz(-pi) q[2];
ry(-2.858662229345924) q[3];
rz(-pi) q[3];
h q[4];
ry(1.446088309721335) q[4];
cx q[4], q[3];
ry(-0.1072079258537036) q[3];
cx q[4], q[3];
cx q[3], q[2];
ry(-0.08633794728088268) q[2];
cx q[3], q[2];
ry(0.15032... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIZIIZI",
"IIIIZIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIIZIIIZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIIIZZ",
"IIIZIZII",
"IIIIZZII",
"ZIIIIZII",
"IIIIIZZI",
"IIIIIZI... | [
0.18333333333333335,
0.05,
0.05,
0.1,
0.1,
0.05,
0.26666666666666666,
0.18333333333333335,
0.05,
0.1,
0.05,
0.13333333333333333,
0.05,
0.05,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.0833333... | 0.971858 | [
1.446088309721335,
1.1806579766973235,
0.2144158517074072,
0.6182109366585008,
-0.6093359410994156,
0.17267589456176535,
-0.393064779701809,
0.3006525302476203,
-0.11473991178406429,
0.08447249199481141,
-0.23628873377327148,
-0.06036650140089396,
0.1799512704876793,
0.4052665050804846,
... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -1.1500000000000004,
"target_ratio": 0.97,
"target_value": -1.1155000000000004
} | 6 |
2e2b99aee8ac569092f35ace44b8c3ea | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43349, 43605], "expectation_value": -1.7085596563474417, "params": [[1.4247, 0.1948, 1.5867, 0.2023, 1.5654000000000001, 0.2434, 1.6699000000000002, 1.5429000000000002, 0.2114, 1.5865, 0.1797, 1.5719, 0.1826, 1.6226, 0.2102, 0.2394], [1.6893, 0.2131, 1.5684, 0.192, 1.5744, 0.2091, 0.25120000000000003, 1.319... | 0.25 * (Z(0) @ Z(1)) + 0.0002066115702479339 * (Z(2) @ Z(0)) + 0.0002066115702479339 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008264462809917356 * (Z(4) @ Z(0)) + -0.0008264462809917356 * (Z(4) @ Z(2)) + -0.0008264462809917356 * (Z(5) @ Z(1)) + -0.0008264462809917356 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0007... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.0237603305784773], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.023760330578402, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0157024793388225} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.547248083452974) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.05502986586328642) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.05502986586328642) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.547248083452974) q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.0002066115702479339,
0.0002066115702479339,
0.25,
-0.0008264462809917356,
-0.0008264462809917356,
-0.0008264462809917356,
-0.0008264462809917356,
0.25,
-0.0007231404958677687,
-0.0007231404958677687,
-0.0005165289256198348,
-0.0007231404958677687,
-0.0007231404958677687,
-0.00051... | 0.977622 | [
-1.547248083452974,
-0.05502986586328642,
0.004823735628772717,
0.05824171975811666,
0.7541495990210797
] | {
"n_parameters": 5,
"n_qubits": 16,
"optimal_eigenvalue": -2.0237603305784737,
"target_ratio": 0.97,
"target_value": -1.9630475206611195
} | 24 |
15a5f37f6b324be94a7fa874923284e5 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "ta... | {"states": [3, 7], "expectation_value": -11.938416272985677, "params": [[[0.7914, 0.0035], [0.9847, 0.00030000000000000003], [1.4609, 0.0032], [0.8162, 0.0014], [0.7915000000000001, 0.0098], [1.5966, 0.0054], [1.598, 0.001], [1.5969, 0.0047]]], "bitstrings": ["11111100", "11111000"], "total_optimization_steps": 160, "p... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08660647235805458) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.08660647235805458) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.08660647235805458) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.08660647235805458) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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] ... | {"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,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.25
] | 0.9711 | [
-0.08660647235805458,
-0.12731865885304094,
0.486571998827358,
0.7706787253710705,
-0.8608749269636787,
-0.3691202591452013,
0.9610136853971378,
-0.12372097609642718,
0.008478123483654525,
1.277526397553868,
0.6268134313552999,
-0.10538367740546278,
-0.7851989999830177,
0.6744201652912936,... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 86 |
44f2999396e93485f9b2b45d8a91217a | 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": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -24.820415377331603, "params": [0.0, -0.21000000000000002, -0.0008, -0.2109, -0.0028, -0.2217, -0.0037, -0.2192, -0.0016, -0.2243, -0.0059, -0.218, -0.0048000000000000004, -0.20770000000000002, -0.0029000000000000002, -0.2127, -0.0007, -0.1741, -0.005200000000000001, -0.225900000... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.25 * (Z(6) @ Z(4)) + 3.5 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(6)) + -0.75 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @... | 5 | 10 | 3 | {"smallest_eigenvalues": [-28.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.15910970580688524) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.0038582088346806554) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.0038582088346806554) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.03158128023667068) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIIZIIZIII",
"IIIZIZIIII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZIIZIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZIZIIIIII",
"IZZIIIIIII"... | [
-0.25,
-0.75,
-0.75,
-1,
-1.5,
-0.5,
-1,
-1,
-0.25,
-1.25,
3.5,
-1.25,
-0.75,
-0.25,
-1,
-1.25,
-3,
-0.25,
-1.25,
-1.5,
-1.5,
-0.75,
-1.5,
-0.25,
-2.5,
-0.25,
-0.5,
0,
0.5,
-1,
2.25,
-3.75,
2.75,
2.5
] | 0.595485 | [
-0.15910970580688524,
-0.0038582088346806554,
0.03158128023667068,
-0.000005081174784754178,
0.09765506338657767,
0.01309462482523011,
-0.004550848358642537,
0.00007930193667712565,
-1.5708643754234923,
1.5747197212317825,
-1.5694599004675893,
1.571276966721134,
-1.5706225631956332,
1.5715... | {
"n_parameters": 16,
"n_qubits": 10,
"optimal_eigenvalue": -28.25,
"target_ratio": 0.97,
"target_value": -27.4025
} | 389 |
8930984217390217498 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [0, 6], [0, 4], [4, 5], [4, 6], [1, 2], [3, 4], [1, 3]]} | {"states": [25, 27], "expectation_value": -1.8404032811275255, "params": null, "bitstrings": ["1100110", "1100100"], "total_optimization_steps": 51, "probabilities": [0.2891944795312596, 0.30489274433625757], "optimization_time": 57.66599750518799} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -1.0, "smallest_bitstrings": ["0100111", "1100100", "1100011", "1100010", "1011100", "1011011", "1011010", "0100110", "0100... | 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[3];
rz(0.6354597764865111) q[3];
cx q[5], q[3];
cx q[5], q[4];
rz(0.6354597764865111) q[4];
cx q[5], q[4];
cx q[3], q[4];
rz(0.6354597764865111) q[4];
cx q[3], q[4];
cx q[3], q[1];
rz(0.6354597764865111) q[1];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IZIZIII",
"ZIIIIIZ",
"IZZIIII",
"IIZZIII",
"ZIZIIII",
"IIZIIIZ",
"IIIZIZI",
"IIIIZZI",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.683267 | [
0.6354597764865111,
2.794806680898156e-8,
-0.6766526875631957
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 93 |
444b62b2304e1a19fde52e526911bdcb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [18, 34], "expectation_value": -3.411632246301548, "params": null, "bitstrings": ["101101", "011101"], "total_optimization_steps": 19, "probabilities": [0.06012643125721689, 0.7888196926370306], "optimization_time": 18.31049108505249} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["010111", "101101", "011101", "110011", "100111", "111100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.48422120993676504) q[1];
cx q[0], q[1];
ry(0.48422120993676504) q[1];
cx q[0], q[1];
ry(1.0591314364533853) q[0];
ry(-0.6600466468166103) q[1];
h q[2];
ry(-0.5491677298042162) q[2];
rz(-pi) q[3];
ry(-0.04868280451431047) q[3];
h q[4];
cx q[4], q[2]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"ZIIZII",
"IZZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-0.5
] | 0.976114 | [
-1.666160731733247,
-1.5941893273604293,
-0.9684424198735301,
-1.0983354596084325,
0.7452689593608157,
-0.45783046300707414,
0.6277249541851395,
0.3314326109608061,
-0.36579028926250506,
-0.4044323676190723,
0.10034882564473999,
0.012300798927506712,
-0.010927107153268584,
-0.1512815340929... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
4cd28f9bc761b26f6d6f15aeccbaedea | 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": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [52, 44], "expectation_value": -3.4890916346507894, "params": null, "bitstrings": ["1001011", "1010011"], "total_optimization_steps": 32, "probabilities": [0.06071916604716631, 0.8639381839609779], "optimization_time": 33.15403485298157} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(4) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0001111", "0010111", "0110110", "1110010", "1010011", "0101101", "1001011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.00016732716707271525) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.00016732716707271525) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.00016732716707271525) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.00016732716707271525) q[3];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IZZIIII",
"IZIIIZI",
"ZZIIIII",
"ZIIIIZI",
"ZIIIZII",
"IZIZIII",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
-0.5,
-1,
-0.5,
-0.5
] | 0.920635 | [
0.00016732716707271525,
-0.5924455788903747,
1.1202157596152196,
-2.1299919140966863,
-0.921283751470345,
-0.9259638537657344,
0.656788748097326,
0.05566707846777746,
-0.2350099582362983,
-0.00025338828965832576,
-0.7056870444167618,
0.6002165622279372,
0.40321396654204583,
-0.860670749125... | {
"n_parameters": 33,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 500 |
bd95f34b8c2fc1d1e2873e7a686c1eaf | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"sourc... | {"states": [511, 32767], "expectation_value": -13.207013896678045, "params": [[[-0.0027, 0.003], [1.5355, 0.0046], [-0.0025, 0.0032], [1.5172, 0.0076], [0.0028, 0.006], [1.5457, 0.0083], [-0.0028, 0.0], [-0.0028, 0.0092], [1.5197, 0.005], [0.0022, 0.0029000000000000002], [0.0848, 0.0079], [1.4814, 0.0053], [-0.0019, 0.... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.5 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + -1.5 * (Z(11) @ Z(9)) + -1.5 * (Z(12) @ Z(13)) + -1.5 * (Z(14) @ Z(13)) + -1.5 * (Z(14) @ Z(12)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3)... | 2 | 15 | 1 | {"smallest_eigenvalues": [-19.499999999999865], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.499999999999854, "smallest_bitstrings": ["000000000000000"], "largest_eigenvalue": 15.500000000000044} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(0.1638342677595025) q[0];
rz(1.705228311139454) q[0];
rx(0.16352075689231899) q[1];
rz(-0.12322171954121014) q[1];
rx(0.0990030049460015) q[2];
rz(-0.9783719965538162) q[2];
rx(0.003289233803994096) q[3];
rz(-0.748855192820893) q[3];
rx(-0.37382686137108384) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIZZII",
"IIIIIIIIIZZIIII",
"IIIIIIIZZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIIZIZIIIIII",
"IIIIZZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIZIZIIIIIIIII",
"IZZIIIIIIIIIIII",
"ZZIIIIIIIIIIIII",
"ZIZIIIIIIIIIIII",
"IIIIIIIIIIIIIZI",
"IIIIIIIIIIIIIIZ",
"IIIIIIIIIIIZIII",
"... | [
-1,
-1.5,
-1,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.975639 | [
0.1638342677595025,
1.705228311139454,
0.16352075689231899,
-0.12322171954121014,
0.0990030049460015,
-0.9783719965538162,
0.003289233803994096,
-0.748855192820893,
-0.37382686137108384,
-0.8182198834429179,
0.12963121135953073,
-1.6320935684500888,
-0.01677150639889883,
0.0552087530332806... | {
"n_parameters": 27,
"n_qubits": 15,
"optimal_eigenvalue": -19.499999999999865,
"target_ratio": 0.97,
"target_value": -18.914999999999868
} | 46 |
87c3ced1ef7832360d99a2d1828a4d93 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1017, 1525], "expectation_value": -0.11754519364728001, "params": [[0.0592, 0.0623], [-0.062200000000000005, -0.0476]], "bitstrings": ["10000000110", "01000001010"], "total_optimization_steps": 10, "probabilities": [0.0006489666781258592, 0.0006489666781258601], "optimization_time": 24.099846839904785} | 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 * (... | 1 | 11 | 2 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.6875, "smallest_bitstrings": ["00100100100", "10000000110", "00011000010", "01000100001", "01000001010"], "largest_eigenvalue": 5.3125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.4782477501473996) q[0];
h q[1];
ry(-1.5459535955314039) q[1];
h q[2];
ry(1.4800481485142103) q[2];
h q[3];
h q[4];
ry(-0.5454937758325291) q[4];
cx q[3], q[4];
ry(0.5454937758325291) q[4];
cx q[3], q[4];
ry(1.138506081996272) q[3];
cx q[2], q[3];
ry(-0.287... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIZIIIIIIZ",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIZIIZIIII",
"IIIIZZIII... | [
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... | 0.996543 | [
-1.5459535955314039,
-1.4782477501473996,
-1.4186720615587136,
1.4800481485142103,
-1.0909875516650582,
0.8505079669655212,
-0.6834200403916963,
0.5759962300615015,
-0.4282561884336213,
-0.15321027442284385,
0.11168667375280134,
-0.09145484919133856,
-0.015716916398529537
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
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