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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
f3708375ba6fa9c71edbcd23f9c9eca4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}]} | {"states": [8, 7], "expectation_value": -0.31612427899929346, "params": [[-0.044700000000000004, -0.0374, -0.058100000000000006, -0.046700000000000005], [0.056100000000000004, 0.0341, 0.062400000000000004, 0.060200000000000004]], "bitstrings": ["0111", "1000"], "total_optimization_steps": 10, "probabilities": [0.078750... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + 0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["1000"], "largest_eigenvalue": 2.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
ry(-1.010121423472979) q[0];
h q[1];
ry(0.7853982035792615) q[1];
h q[2];
ry(1.5707956806528132) q[2];
h q[3];
cx q[3], q[1];
ry(-0.7853982035792615) q[1];
cx q[3], q[1];
ry(0.6154796274137422) q[3];
cx q[1], q[3];
ry(-0.6154796274137422) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IZIZ",
"IZZI",
"ZZII",
"ZIIZ",
"ZIZI",
"IZII",
"IIIZ",
"IIZI",
"ZIII"
] | [
-0.5,
-0.5,
-0.5,
0.75,
-0.5,
0.5,
-0.25,
0,
-0.25
] | 0.888889 | [
1.5707956806528132,
1.570796407158523,
1.2309592548274844,
-2.020242846945958,
0.5024058852687302,
-1.1213498565529063,
1.0683905653844339,
6.544803761639136e-7,
-0.07539900701000271,
-0.09494170503749731,
-1.3610082431868337e-7,
0.0949418225997358,
0.07539895788259901,
-4.123984436099256e... | {
"n_parameters": 15,
"n_qubits": 4,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 287 |
4685308727068047540 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [3, 5], [2, 5], [5, 6], [0, 4], [3, 4], [0, 6], [0, 1], [1, 5]]} | {"states": [57, 70], "expectation_value": -0.0875254800358051, "params": [[-0.0709], [0.0699]], "bitstrings": ["1000110", "0111001"], "total_optimization_steps": 10, "probabilities": [0.008917838315302766, 0.008917838315302766], "optimization_time": 0.5248944759368896} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000110", "0111001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.6633631305241948) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.6633631305241948) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(-0.6633631305241948) q[0];
cx q[4], q[0];
rz(-5.742208042391894e-09) q[4];
rx(0.785398158832... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[3], q[5];
... | null | {"circuits": [], "gradients": []} | [
"IIZIZII",
"IIZZIII",
"IZIIZII",
"IZIZIII",
"ZZIIIII",
"IIZIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIIIZZ",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI"
] | [
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
] | 0.527145 | [
-0.6633631305241948,
-5.742208219907405e-9,
0.7853981588325151
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 97 |
b6d439c96c0f87fc03a4b5b2f2bf1805 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [80, 112], "expectation_value": -2.4925382906708324, "params": [1.6101, 0.001, 1.6027, 0.0016, 1.6098000000000001, 0.0025, 0.3961, 0.0024000000000000002, 0.0025, 0.0011, 0.9618000000000001, 0.0014, 0.36910000000000004, 0.0037, 0.0082, 0.001, 0.008400000000000001, 0.001, 0.0098, 0.0047], "bitstrings": ["01011... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(5) + -0.5 * Z(0) + -1.0 * Z(6) + 0.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(2) + -1.5 * Z(4) | 3 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0010111", "1101100", "1001101", "0011011", "0001111"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5191980308047215) q[0];
h q[1];
ry(1.5405695011376466) q[1];
h q[2];
h q[3];
ry(-0.5866982180362897) q[3];
cx q[2], q[3];
ry(0.5866982180362897) q[3];
cx q[2], q[3];
ry(0.9597495752945346) q[2];
ry(-0.5579615667866465) q[3];
h q[4];
ry(-1.6415637574708137) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IZIZIII",
"IIIZZII",
"IZZIIII",
"ZIZIIII",
"IIZZIII",
"IIZIZII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
0,
-1,
-0.5,
-1.5
] | 0.995551 | [
-1.6415637574708137,
-1.5174011236909681,
1.5405695011376466,
1.5191980308047215,
-1.1733964360725795,
0.6926129454350894,
-0.15953231009867133,
-0.3691247614136871,
0.5342732597188904,
-0.37767361074591893,
0.35119070739281916,
-0.03222369551844963,
-0.12500416830118127,
0.067816064562840... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
20105dd34864c02d46a9b19074582db3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 8}, {"weight": 9, "source... | {"states": [406, 214], "expectation_value": -9.040417431474243, "params": [[-0.0494, 0.0273], [0.0707, 0.0064]], "bitstrings": ["001101001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.004492262415205671, 0.004952640081453187], "optimization_time": 2.8805389404296875} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 12.5 * Z(1) + 1.0 * Z(0) + 5.5 * Z(2) + 4.5 * Z(3) + 10.5 * Z(4) + 6.0 * Z(5) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 117.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.14435721115994946) q[0];
rz(-0.21708353273768521) q[0];
rx(0.7915528497102055) q[1];
rz(0.10836241993164064) q[1];
rx(0.5191237829960504) q[2];
rz(0.08648807509834322) q[2];
rx(-0.13998850810080563) q[3];
rz(-0.251024769667616) q[3];
rx(0.12441138115153424) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
12.5,
1,
5.5,
4.5,
10.5,
6,
11,
9,
2.5
] | 0.971779 | [
0.14435721115994943,
-0.39904601130316897,
0.7915528497102056,
0.24568622367932522,
0.5191237829960504,
0.03519440933784296,
-0.1399885081008056,
-0.36584201093119917,
0.12441138115153424,
0.18908820056406622,
-0.12436151191020965,
-0.7036982822293517,
0.18933463204204426,
-0.3043442920914... | {
"n_parameters": 164,
"n_qubits": 9,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 101 |
2398b0b8852b758caa629303970b584b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [12, 49], "expectation_value": -1.4236221500655462, "params": [[0.06470000000000001, 0.0687, 0.054700000000000006, 0.058800000000000005], [-0.049800000000000004, -0.0671, -0.0492, -0.0488]], "bitstrings": ["110011", "001110"], "total_optimization_steps": 10, "probabilities": [0.032570092366198296, 0.03346478... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.039254698902790326) q[0];
rz(pi/2) q[0];
ry(0.3648670593836806) q[1];
ry(0.3376361431186225) q[2];
ry(0.37423268336375176) q[3];
ry(0.5746655888699254) q[4];
ry(-0.09537820387184358) q[5];
ry(0.4618259931807873) q[6];
ry(0.43542575300609276) q[7];
ry(0.45015024645... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"IIZIZI",
"IZIIZI",
"ZIIZII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-1,
-0.5
] | 0.9724 | [
0.039254698902790326,
0.3648670593836806,
0.3376361431186225,
0.37423268336375176,
0.5746655888699254,
-0.09537820387184358,
0.4618259931807873,
0.43542575300609276,
0.45015024645460006,
0.02352608316433561,
0.3808695150484027,
-0.32131097767290606,
0.1267658218374237,
-0.03091676333232282... | {
"n_parameters": 152,
"n_qubits": 10,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 36 |
5dad688a93671469362a3d3d00961b05 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [26, 11], "expectation_value": -2.9999374806790073, "params": null, "bitstrings": ["00101", "10100"], "total_optimization_steps": 22, "probabilities": [1.6356888979690063e-05, 0.99996874101375], "optimization_time": 12.32949686050415} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(1.054375204004865) q[0];
ry(1.2513372356561656) q[1];
ry(0.2824769594172304) q[2];
ry(1.4848254273950985) q[3];
ry(1.7704547616171795) q[4];
ry(-0.13250446412763625) q[5];
ry(-0.49590506331342876) q[6];
ry(1.052494121858556) q[7];
ry(0.7429880399328006) q[8];
ry(0.4... | 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(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"ZIZII",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
0
] | 0.975061 | [
1.054375204004865,
1.2513372356561656,
0.2824769594172304,
1.4848254273950985,
1.7704547616171795,
-0.13250446412763625,
-0.49590506331342876,
1.052494121858556,
0.7429880399328006,
0.41317392976743855,
2.5434800341621466,
1.571476038864509,
1.6619437044267633,
0.026188563071984666,
1.62... | {
"n_parameters": 45,
"n_qubits": 15,
"optimal_eigenvalue": -8.749999999999972,
"target_ratio": 0.97,
"target_value": -8.487499999999972
} | 53 |
9f72c6a9228c6d67ec710234e69aa287 | 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": [218, 217], "expectation_value": -81.14303156405649, "params": [0.0023, -0.7256, 0.7834, -0.0057, 0.9689000000000001, 0.16870000000000002, -0.0016, 0.28, 0.8652000000000001, -0.004200000000000001, 0.7844, 0.0091, 0.0011, 0.7926000000000001, 1.0965, -0.0091, 0.9654, -0.0317, 0.0024000000000000002, -0.9506, 0.... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(8) @ Z(7)) + 3.5 * Z(0) + 19.0 * Z(2) + 17.5 * Z(1) + 15.0 * Z(4) + 6... | 18 | 9 | 4 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["100100110"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.1256016146632385) q[0];
rz(-0.8422640366278284) q[0];
rx(0.6659522464411735) q[1];
rz(-0.1112068762668945) q[1];
rx(0.9152358732245419) q[2];
rz(0.38276786844088273) q[2];
rx(0.03981799599815847) q[3];
rz(0.34435761992461894) q[3];
rx(0.8521880186950924) 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] x100;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input floa... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZIZII",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
3.5,
19,
17.5,
15,
6.5,
13,
-4.5,
10,
0.5
] | 0.971214 | [
0.1256016146632385,
-0.8736030701334918,
0.6659522464411735,
-0.1112068762668945,
0.9152358732245419,
0.38276786844088273,
0.03981799599815847,
0.34435761992461894,
0.8521880186950924,
0.01738816838851836,
0.9485999352670723,
0.11561784400190821,
0.144265615081695,
0.7552101674605104,
1.... | {
"n_parameters": 101,
"n_qubits": 9,
"optimal_eigenvalue": -82.5,
"target_ratio": 0.97,
"target_value": -80.02499999999999
} | 2 |
5144181ac27497fdfa9bdb5b8b799630 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}]} | {"states": [245, 437], "expectation_value": -4.4997224841983945, "params": null, "bitstrings": ["100001010", "001001010"], "total_optimization_steps": 68, "probabilities": [0.06097763732302738, 0.8720226172622207], "optimization_time": 80.04630446434021} | 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 | 9 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001010100", "001100010", "001001010", "001001100", "010001100", "010010100", "010010001", "010100001", "100100001", "100001010",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| null | {"number_of_colors": 3} | {"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",
"IIZIIIIIZ",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIZIIZIII",
"IZIIZIIII",
"IIIIZZIII",
"ZIIZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"... | [
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,
0.75,
0.75,
0.75,
1,
1,
1,
0.75,
0.75,
0.75
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
-679162084426388165 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3], [1, 2, 5, 7], [4, 7], [3, 5], [0, 1, 3, 6], [0, 1, 4, 5], [0, 1, 2, 4], [2, 6, 7]]} | {"states": [209, 110], "expectation_value": -0.08107854696753361, "params": [[0.0746], [-0.0821]], "bitstrings": ["00101110", "10010001"], "total_optimization_steps": 10, "probabilities": [0.004285220510309417, 0.004306057337969337], "optimization_time": 0.9514827728271484} | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.583333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 6.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2937215601155144) q[0];
h q[1];
ry(1.5204983790923254) q[1];
h q[2];
ry(1.0587161987511589) q[2];
h q[3];
ry(-0.47301073766345064) q[3];
h q[4];
h q[5];
cx q[5], q[3];
ry(0.47301073766345064) q[3];
cx q[5], q[3];
ry(-0.29483437813919783) q[3];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIZIIZII",
"IIZIIIZI",
"IIZIZIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIZIIIII",
"IIIZIZII",
"IIIZIIZI",
"IIZZIIII",
"ZIIZIIII",
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IIIZIIIZ",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"ZZIIIIII",
"IZIIIII... | [
0.3333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666,
0.5,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.1... | 0.970875 | [
1.5204983790923254,
1.0587161987511589,
-0.9460214753269013,
0.5875793858981349,
-0.8336353719707792,
-0.5896687562783957,
0.5169964971787964,
0.6337491165521886,
-0.4889746904720301,
0.7943765449156783,
-0.34160939025001263,
0.617027197460057,
-0.3350694328519006,
-0.5874431202310288,
0... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -2.583333333333334,
"target_ratio": 0.97,
"target_value": -2.505833333333334
} | 13 |
58927404864b316a7a7c3805d96a54c5 | 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": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "s... | {"states": [159, 157], "expectation_value": -4.934152902288448, "params": [[-0.16490000000000002], [0.16540000000000002]], "bitstrings": ["101100000", "101100010"], "total_optimization_steps": 20, "probabilities": [0.00842107800337157, 0.00956875196354456], "optimization_time": 2.5458781719207764} | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(8) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(7)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.75, -16.75, -16.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -15.75, "smallest_bitstrings": ["111100110", "111100010", "101100010"], "largest_eigenvalue": 19.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.08852221454871459) q[0];
rz(1.4850305891108242) q[0];
rx(-0.022460498049271173) q[1];
rz(-1.2119263256872301) q[1];
rx(0.0036018593934876234) q[2];
rz(0.6680531664906) q[2];
rx(0.003601859393487624) q[3];
rz(1.1010038153947903) q[3];
rx(1.1101477110823375) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIIZIII",
"ZIIIZIIII",
"IZIIZIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IZIZIIIII",
"IIIZZIIII",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IZIIIIIII",
"IIIIZIIII",
"... | [
-1,
1.25,
-1.5,
-2.75,
-0.25,
-0.5,
-1.25,
-1.5,
-0.75,
-0.5,
-0.75,
-1,
-0.25,
-1,
-2,
-0.25,
0.75,
-0.5,
-1,
-2.5,
2.25,
-0.25,
3.5
] | 0.972394 | [
-0.0885222145487146,
1.0881884443741296,
-0.022460498049271173,
-0.7092743797278183,
0.0036018593934876234,
1.2418359084736181,
1.1036348045591202,
1.1101477110823375,
0.06106459732284491,
1.3559333559132691,
0.05674914092623268,
0.16301984510572173,
0.7644558023851116,
-0.2009512409085926... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 5 |
11576eab70c2ec583415b5e8bd58f9e2 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [60, 85], "expectation_value": -0.07370395756336726, "params": [[-0.0424, -0.027, 0.0403], [0.055600000000000004, 0.0415, -0.0131]], "bitstrings": ["1000011", "0101010"], "total_optimization_steps": 10, "probabilities": [0.008810481075726309, 0.00881048107572632], "optimization_time": 4.379936695098877} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(2) @ Z(6) @ Z(3)) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101010", "1000011"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"ZIIIIZI",
"IIIZZII",
"ZIIIZII",
"ZIIZIII",
"ZIIZZII",
"IZZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
-0.25,
0,
0,
-0.25,
-1,
-0.25
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
a91613587e2e3ed31c854337981da9dd | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, ... | {"states": [127, 1], "expectation_value": -1.7658384211258369, "params": [[-0.0473, -0.0575, -0.0568], [0.053000000000000005, 0.0623, 0.0664]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.009568506343689527, 0.009613402253490892], "optimization_time": 7.840975999832153} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(7) + -1.25 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + -... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110", "11111010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.8142818159798348) q[0];
ry(-0.032593683521263635) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.610183497606998) q[2];
h q[3];
ry(-1.610183497606998) q[3];
h q[4];
ry(-1.610183497606998) q[4];
h q[5];
h q[6];
ry(-1.610183497606998) q[6];
h q[7];
ry(1.4863581279641118)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"ZIIIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IZIIIIZI",
"IZIIZIII",
"IIIZIZII",
"IZIZIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
-0.25,
0.5,
-1.25,
-0.25,
-1.75,
-0.25,
-0.75,
-0.75,
-1,
-1.25,
1.5,
-0.25,
0.5,
-1.25,
0,
0,
-1.75,
1.25
] | 0.997911 | [
-1.610183497606998,
1.4863581279641118,
-1.6285636319596697,
-1.3831484037152848,
-0.3101084791166965,
0.12617624117491766,
0.014085585013846047
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 1 |
4697271696339792707 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 2, 5], [8, 0, 3, 6], [8, 0, 2, 4], [3, 7]]} | {"states": [501, 245], "expectation_value": -0.7327386466167433, "params": [0.9946, -0.0317, 0.9615, 0.005200000000000001, 1.0047000000000001, -0.0108, 0.9951000000000001, 0.0089, 1.0019, 0.014700000000000001, 0.9969, 0.002, 0.9951000000000001, 0.0252, 0.9998, 0.0028, 1.0058, 0.017400000000000002, 0.9977, 0.00550000000... | 0.08333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333... | 6 | 9 | 1 | {"smallest_eigenvalues": [-1.25, -1.25, -1.25, -1.25, -1.25, -1.25, -1.25, -1.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.2499999999999998, "smallest_bitstrings": ["100001010", "010010110", "001100000", "001000110", "000111000", "000011110", "010110000", "110000010"], "largest_eigenvalue": 3.50... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.0021224112968953493) q[0];
rz(0.9900574878032353) q[0];
rx(2.2056693510375904) q[1];
rz(1.6897641110727903) q[1];
rx(1.694399077085838) q[2];
rz(1.8552776309187617) q[2];
rx(1.0818333860876328) q[3];
rz(1.7607468788043406) q[3];
rx(1.4686097069685555) q[4];
rz(2.26... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZI",
"IIIIIIZZI",
"ZIIIIIZII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZIIZII",
"ZIIIIIIIZ",
"IIIIIIZIZ",
"ZIIIIZIII",
"IIIIIZIIZ",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIZIIII",
"IIIIZIZII",
"IIIIZIIIZ",
"IZIIIZIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIIZII",
"IIIZIIIII",
"... | [
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.083333333333333... | 0.970078 | [
0.0021224112968953497,
-0.5807388389916616,
2.2056693510375904,
0.11896778427789373,
1.694399077085838,
0.28448130412386513,
1.0818333860876328,
0.18995055200944416,
1.4686097069685553,
0.6907757547888065,
0.055326068940549845,
-0.5390706186711719,
2.290253140602532,
0.5167688187687426,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -1.25,
"target_ratio": 0.97,
"target_value": -1.2125
} | 163 |
a25bc33cddfe63f4dc368e11c3293a34 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [17, 1], "expectation_value": -0.013045376207509077, "params": [[-0.019200000000000002], [0.013800000000000002]], "bitstrings": ["111101110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0019768976758834512, 0.001983132528256605], "optimization_time": 2.5133635997772217} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(7) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.026975180076499048) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.08296826734450104) q[4];
cx q[1], q[4];
cx q[0], q[4];
cx q[1], q[3];
rz(0.026975180076499048) q[3];
cx q[1], q[3];
rz(-0.08296826734450104) 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;
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],... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIIZIZII",
"IIIZIIZII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"IIZZIIIII",
"IIZIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIIIZII",
"... | [
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5,
1,
-0.25,
-0.25,
-0.25,
-0.75,
-0.5,
0,
-0.25,
0.5,
-1.25,
0.75,
-0.75,
0.75,
-0.5,
0.75
] | 0.598314 | [
0.026975180076499048,
-0.08296826734450104,
0.09428954881710486,
0.006474232209164011,
1.5643199233812628,
1.571141275045979,
-1.5716720332861775,
1.5727485853029148,
-1.5645656906653869
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 267 |
e2e158f2cf7d16562fe0667a95b89216 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 1, "tar... | {"states": [237, 234], "expectation_value": -26.898622138138766, "params": [[-0.0335, 0.0524, 0.0178], [0.079, -0.041100000000000005, -0.056600000000000004]], "bitstrings": ["100010010", "100010101"], "total_optimization_steps": 10, "probabilities": [0.006907589450628259, 0.010495348606753328], "optimization_time": 6.3... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 179.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0646223712131074) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0646223712131074) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0646223712131074) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0646223712131074) q[3];
cx q[0], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IIZIIIZII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
7.5,
23.5,
10,
1,
21,
22,
6,
2
] | 0.976965 | [
0.0646223712131074,
-1.3221292206741764,
0.5803255913039884,
-1.1623415522289597,
-1.4335702797900156,
0.6399028361397165,
-1.9620343555777144,
-1.516386137216148,
0.9856581263537598,
1.278561098999369,
0.674786975558751,
-0.09280645834666516,
-0.393514203144838,
0.9223262524356773,
-0.8... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -92.5,
"target_ratio": 0.97,
"target_value": -89.725
} | 54 |
4604930777967587027 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 5, 7], [0, 3, 4, 6], [0, 1, 3, 6], [2, 6], [8, 7]]} | {"states": [413, 505], "expectation_value": -0.64680308480806, "params": [[-0.3821], [0.3708]], "bitstrings": ["001100010", "000000110"], "total_optimization_steps": 40, "probabilities": [0.005338531381994598, 0.005360091691646401], "optimization_time": 3.7223854064941406} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.08333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["000001101", "011010001", "001100001", "000000110", "101000010", "101001001"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.014584098591969685) q[3];
cx q[4], q[3];
h q[5];
cx q[4], q[5];
rz(0.05065156303705011) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.05065156303705011) q[5];
cx q[3], q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(0.05065... | 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[4], q[3];
rz(x0) q[3];
... | null | {"circuits": [], "gradients": []} | [
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IZIIZIIII",
"IZIIIZIII",
"IZIZIIIII",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIZIZIIII",
"IIZIIZIII",
"IIZIIIIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIZII",
"ZZIIIIIII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIIIZ",
"... | [
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.083333333333333... | 0.971523 | [
0.014584098591969685,
0.05065156303705011,
-2.999650431684232,
-1.730827652616139,
-1.0521113295864424,
-1.389996720006117,
1.5509111255346282,
1.555581414400307
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -1.75,
"target_ratio": 0.97,
"target_value": -1.6975
} | 63 |
-6466678249990349233 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 9], [8, 11], [11, 7], [10, 7], [9, 4], [9, 10], [2, 6], [10, 4], [1, 10], [8, 5], [8, 6], [4, 5], [1, 9], [8, 1], [10, 11], [1, 4], [10, 5], [3, 7], [8, 10], [9, 7], [1, 3], [0, 7], [11, 4], [1, 6], [6, 7], [8, 7], [10, 2], [9, 5], [2, 7], [9, 2], [2,... | {"states": [4056, 3928], "expectation_value": -6.5223410393591195, "params": [2.1494, 0.0026000000000000003, 2.5559000000000003, 0.0025, 2.9452000000000003, 0.0013000000000000002, 3.1458, -0.0287, 2.4956, 1.0836000000000001, 3.1397, 0.0177, -0.0027, -1.2730000000000001, 3.0051, -0.0015, 3.1393, 0.0679, -0.0025, -0.5325... | 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(3) @ Z(10)) + 0.5 * (Z(9) @ Z(11)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(2) @ Z(11)) + 0.5 * (Z(2) @ Z(10)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(6) @ Z(11)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(11)) + 0.5 * (Z(4) @ Z(3)) + 0.5... | 4 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.0, "smallest_bitstrings": ["110111010001", "000010100111", "111101011000", "001000101110", "010010100110", "001101011001", "101101011001", "110010100110"], "largest_eigenvalue": 20.... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.8910932329464771) q[0];
rz(1.6284563247583765) q[0];
rx(3.002474412760149) q[1];
rz(1.685558833852566) q[1];
rx(2.9246069648424804) q[2];
rz(1.7821561181540222) q[2];
rx(2.9824753164925704) q[3];
rz(1.6845741597664734) q[3];
rx(2.753693301338868) q[4];
rz(-3.06221... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"ZZIIIIIIIIII",
"IZIIIIIIZIII",
"ZIZIIIIIIIII",
"IZZIIIIIIIII",
"IIZIIIIIZIII",
"ZIIIIIIIIZII",
"IZIIIIIIIZII",
"IIIIIIIIZZII",
"IIZIIIIIIZII",
"ZIIIIZIIIIII",
"IIIIIZIIZIII",
"IIIIIZIIIZII",
"ZIIIIIIZIIII",
"IIIIIIIZZIII",
"IIZIIIIZIIII",
"IIIIIIIZIZII",
"IIIIIZIZIIII",
"ZIIZIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0... | 0.974868 | [
1.8910932329464771,
0.05765999796348065,
3.002474412760149,
0.11476250705766916,
2.9246069648424804,
0.2113597913591261,
2.9824753164925704,
0.11377783297157636,
2.753693301338868,
1.6501692506062968,
3.147679578808318,
-0.056939248964163316,
0.021360996655671836,
-1.3146928212980362,
2.... | {
"n_parameters": 33,
"n_qubits": 12,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 13 |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"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": 5}, {"source": 2, "target"... | {"states": [2, 3], "expectation_value": -3.477817681660158, "params": [[[0.38380000000000003, 0.2083], [0.3889, 0.1962], [0.3839, -0.19890000000000002], [0.7992, 0.0001], [0.7988000000000001, 0.0001]], [[0.3855, 0.001], [0.3972, 0.006500000000000001], [0.3841, 0.0036000000000000003], [0.8029000000000001, 0.0061], [0.79... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
1.75,
1.75,
1.75,
2,
2,
-2.75,
-3,
-2.75,
-2.5,
-2.5
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
2e6553942c0e3d2a42339fa11924425c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [224, 225], "expectation_value": -4.829737502933847, "params": [0.8021, 0.0051, 0.807, 0.009600000000000001, 0.8084, 0.0263, 0.38970000000000005, 0.2579, 0.0058000000000000005, 0.4198, -0.0181, -0.4267, 0.1708, -0.3452, 0.7985, 0.0048000000000000004, 0.8061, 0.0008, 0.804, -0.0148, 0.8026000000000001, 0.029,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * Z(3) + -1.0 * Z(0) + -2.0 *... | 4 | 8 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["00011110"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.1592583565814853) q[0];
rz(1.8240009574073568) q[0];
rx(1.0111632587988668) q[1];
rz(1.4835564280646532) q[1];
rx(1.7868445132046675) q[2];
rz(1.3997112208569593) q[2];
rx(0.21086447471897152) q[3];
rz(2.3948970136874843) q[3];
rx(-0.2363671709456489) q[4];
rz(1.38... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZIIIZI",
"IZIZIIII",
"IZIIIIZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IZIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIIZII",
"ZIIIIIII"
] | [
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,
-2,
-1.5,
-0.5,
-1,
-1.5,
-0.5
] | 0.978282 | [
1.1592583565814853,
0.2532046306124607,
1.0111632587988668,
-0.08723989873024328,
1.7868445132046678,
-0.17108510593793672,
0.21086447471897152,
0.8241006868925881,
-0.23636717094564894,
-0.18168747539415325,
0.01399124912551264,
-0.5599010625545962,
0.5010391392946628,
-0.3714904730825693... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 15 |
4b2b5ba04f490b1a55b5e14f626537a5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [28, 76], "expectation_value": -1.483861085167321, "params": [[-0.1517], [0.164]], "bitstrings": ["1100011", "0110011"], "total_optimization_steps": 20, "probabilities": [0.014624742182278796, 0.01462474218227881], "optimization_time": 1.7784802913665771} | 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(5) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(5) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110011", "1100011"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6070261127721035) q[0];
h q[1];
ry(-1.551331179186838) q[1];
h q[2];
cx q[2], q[0];
ry(0.6070261127721035) q[0];
cx q[2], q[0];
ry(-0.6149725597461607) q[0];
ry(0.9885050351854432) q[2];
h q[3];
ry(1.495667010488557) q[3];
h q[4];
ry(1.495667010488557) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZIIIIZ",
"IZIIZII",
"ZIIIIIZ",
"ZIIIZII",
"ZZIIIII",
"IIIZIZI",
"IZIZIII",
"ZIIZIII",
"IIZIIZI",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1,
0
] | 0.998608 | [
-1.551331179186838,
-1.584904635171181,
1.495667010488557,
-1.214052225544207,
0.7319726548460825,
-0.3768706356320442,
0.5130647606787211,
-0.4762038482282329,
0.35645834763980605,
-0.17531532782789122,
0.19033161818229352,
0.18406705281432265,
0.0246127673755438,
0.0846861305640349
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
c56c2877af399618eed59922d59f8e87 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 1, "target": 2}, {"source": 3, "ta... | {"states": [196, 197], "expectation_value": -2.159939733898245, "params": [[[-0.0022, 0.0018000000000000002], [0.8022, 0.0032], [0.8068000000000001, 0.0033], [0.644, -0.0843], [0.6615, -0.0772], [0.0023, 0.6049], [0.8049000000000001, -0.0005], [0.0028, 0.5898], [0.7935, 0.0001]], [[0.0057, 0.0083], [0.7998000000000001,... | 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 1 | 9 | 2 | {"smallest_eigenvalues": [-4.1875, -4.1875, -4.1875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.1875, "smallest_bitstrings": ["100101011", "100111010", "100011110"], "largest_eigenvalue": 6.8125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.04052163053141423) q[0];
rz(1.612626911941164) q[0];
rx(0.2060237417024173) q[1];
rz(1.5879912536568384) q[1];
rx(0.8695278739532503) q[2];
rz(1.6441074389091828) q[2];
rx(0.8537587479325162) q[3];
rz(1.4388618100455233) q[3];
rx(0.01608202282045027) q[4];
rz(1.781... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIZZII",
"IIIIZIZII",
"IIIIIIZZI",
"IIIIZZIII",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZZII",
"IIIIIZZZI",
"IIIIZIZZI",
"IIIIZZIZI",
"IIIIZZZZI",
"IIIIIIIZZ",
"IIIZIIZII",
"IIZIIIZII",
"ZIIIIIZII",
"IZIIIIZII",
"IIZZIIIII",
"ZIIZIIIII",
"IZIZIIIII",
"ZIZIIIIII",
"IZZIIIIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.0625,
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... | 0.981974 | [
0.04052163053141422,
0.0418305851462678,
0.2060237417024173,
0.017194926861941948,
0.86952787395325,
0.07331111211428566,
0.8537587479325162,
-0.13193451674937284,
0.01608202282045027,
0.21053964208337417,
0.5235390903879795,
-0.03732032588440523,
0.4744612096092802,
0.09669413733847705,
... | {
"n_parameters": 87,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 25 |
43f346f2449aaad74bd3d1617b2cab32 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [21, 22], "expectation_value": -3.4999003241120192, "params": null, "bitstrings": ["101010", "101001"], "total_optimization_steps": 26, "probabilities": [1.7187859465320965e-05, 0.9999500713236515], "optimization_time": 13.993719816207886} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "110010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4099597405997399) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4099597405997399) q[3];
cx q[0], q[3];
rz(0.5379425344598752) q[3];
rx(-1.0181627007712197) q[3];
h q[4];
cx q[2], q[4];
rz(0.4099597405997399) q[4];
cx q[2], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"ZZIIII",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0,
-1,
-0.5,
-0.5
] | 0.756698 | [
0.4099597405997399,
-0.5276923746122105,
0.5379425344598753,
-0.15590122747147514,
-1.0181627007712197,
0.9194045375777744,
-1.0915528273895585,
-0.4028415862936717,
-0.5859290117404532
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 223 |
8868655929581791356 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 6], [3, 4], [0, 4], [0, 1], [1, 2], [3, 5]]} | {"states": [39, 88], "expectation_value": -0.06287440468238778, "params": [[-0.0697], [0.0766]], "bitstrings": ["1011000", "0100111"], "total_optimization_steps": 10, "probabilities": [0.008831086702470372, 0.008831086702470372], "optimization_time": 1.1339714527130127} | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0100111", "1011000"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[3];
rz(-0.8410686620757039) q[3];
cx q[6], q[3];
cx q[3], q[4];
rz(-0.8410686620757039) q[4];
cx q[3], q[4];
cx q[3], q[5];
cx q[4], q[0];
rz(-0.8410686620757039) q[0];
cx q[4], q[0];
cx q[0], q[1];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[1];
... | null | {"circuits": [], "gradients": []} | [
"ZIIZIII",
"IIZZIII",
"IIZIIIZ",
"IIIIIZZ",
"IIIIZZI",
"IZIZIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.517608 | [
-0.8410686620757039,
-3.1899050872066545e-8,
0.7853981674081587
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 106 |
5dd8a96bddc38dd91a63d32b7368ef2c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [237, 109], "expectation_value": -43.70952001970163, "params": [1.5310000000000001, 0.0059, 2.6038, 0.0012000000000000001, 2.5961000000000003, 0.0013000000000000002, 0.9603, 0.004, 2.6020000000000003, 0.0018000000000000002, 2.5948, 0.0049, 0.0019, 0.0094, 2.6063, 0.007500000000000001, 0.009000000000000001, 0... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(3) @ Z(5)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(6) @ Z(7)) + 5.0 * Z(0) + 6.0 * Z(2) + 13.5 * Z(1) + 14.5 * Z(4) + 14.0 * Z(5) + 2.0 * Z(3) + 6.5 * Z(7) + -4.0 * Z(6) | 18 | 8 | 1 | {"smallest_eigenvalues": [-57.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 107.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.5779559168436332) q[0];
rz(0.3426803213821641) q[0];
rx(2.9240637133081377) q[1];
rz(0.20260117582469334) q[1];
rx(3.2084754990402984) q[2];
rz(-0.2593120600600166) q[2];
rx(0.24826360238620895) q[3];
rz(0.42942701188660637) q[3];
rx(3.225223287933672) 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], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIZIIZI",
"IIZZIIII",
"IIIZZIII",
"IIZIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5,
6,
13.5,
14.5,
14,
2,
6.5,
-4
] | 0.970091 | [
0.5779559168436333,
0.04638062157060074,
2.9240637133081377,
0.20260117582469334,
3.2084754990402984,
-0.2593120600600166,
0.24826360238620895,
0.42942701188660637,
3.225223287933672,
-0.024426656437225275,
2.943353015336444,
-0.1522054271975481,
0.03698228801292014,
0.13748395843012595,
... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -57,
"target_ratio": 0.97,
"target_value": -55.29
} | 12 |
2d5aa07969688ad656c6a5e6ebf1d50d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 5, "source": 2, "target": 3}, {"weight": 20, "source": 2, "target": 6}, {"weight": 17, "sourc... | {"states": [119, 117], "expectation_value": -93.22476174687593, "params": [-0.0019, 0.8236, 0.2964, -0.3609, 1.0691000000000002, -0.1532, 1.0666, 0.007200000000000001, 1.069, -0.0014, -0.0026000000000000003, 0.6932, 1.0685, 0.007500000000000001, 0.48450000000000004, 0.2959, 1.0772000000000002, 0.2665, -0.00420000000000... | 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) ... | 3 | 9 | 3 | {"smallest_eigenvalues": [-101.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.0, "smallest_bitstrings": ["110001010"], "largest_eigenvalue": 211.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.1697398140779931) q[0];
rz(1.070653360266391) q[0];
rx(0.05309656490636492) q[1];
rz(-0.5494563399577008) q[1];
rx(1.2124378427469416) q[2];
rz(-0.005735872060335545) q[2];
rx(1.0112770593067824) q[3];
rz(-0.03689611863250697) q[3];
rx(0.9148949061649659) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIZIIZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZZIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIZIIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIIIZIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
25,
7.5,
13.5,
30,
21.5,
-4.5,
16,
17,
-5
] | 0.973968 | [
-0.1697398140779931,
0.9184674298928031,
0.05309656490636491,
-0.34028994243309835,
1.2124378427469418,
-0.11304923551764096,
1.0112770593067824,
-0.052457175759337275,
0.9148949061649659,
-0.0590113121143141,
0.0473725297532514,
0.787291009911325,
1.1177644014029042,
0.14477389011961364,
... | {
"n_parameters": 74,
"n_qubits": 9,
"optimal_eigenvalue": -101,
"target_ratio": 0.97,
"target_value": -97.97
} | 6 |
8ba3b716627498c896f8e55ab6717a32 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "s... | {"states": [256, 153], "expectation_value": -15.445754556858061, "params": null, "bitstrings": ["011111111", "101100110"], "total_optimization_steps": 88, "probabilities": [0.1140630533423393, 0.5942544801982951], "optimization_time": 196.8855140209198} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + -1.0 * (Z(8) @ Z(1)) + 4.0 * (Z(8) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["101100110"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.36629017619192517) q[0];
rz(2.6590895329145035) q[0];
rx(0.6522359773495556) q[1];
rz(2.1167059752285837) q[1];
rx(-0.02887208608601841) q[2];
rz(-3.116796008938347) q[2];
rx(-0.05697306845919328) q[3];
rz(2.648238060545589) q[3];
rx(1.3811853011744597) q[4];
rz(2.... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.2796) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIZIZIIII",
"ZIIIZIIII",
"IIIZIZIII",
"ZIIZIIIII",
"... | [
-0.25,
-0.75,
-1,
-1.25,
-0.75,
-0.75,
-1,
-1,
-0.5,
-0.75,
-1,
-1.25,
-1,
4,
-0.25,
-1.25,
-1,
-1.25,
-1,
-0.5,
-0.75,
-0.25,
0.75,
-0.25,
0.25,
-2.5,
-4,
2,
1,
2.75,
0
] | 0.970831 | [
0.3662901761919252,
1.0882932061196073,
0.6522359773495556,
0.5459096484336865,
-0.028872086086018406,
1.5955929714463426,
-0.05697306845919328,
1.0774417337506923,
1.3811853011744597,
0.9085148071025628,
-0.1340264687407385,
0.1319224339149663,
1.245935230529323,
-0.06160287482492041,
1... | {
"n_parameters": 75,
"n_qubits": 9,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 9 |
391f10ae0b39617f9448bce6ece927dd | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [175, 143], "expectation_value": -37.648997729386835, "params": [2.2048, 0.0016, 1.3757000000000001, 0.006500000000000001, 1.4836, 0.0033, 1.3756000000000002, 0.0016, 2.1967000000000003, 0.0058000000000000005, 2.1951, 0.0091, 2.1952000000000003, 0.008, 2.2074000000000003, 0.0009000000000000001, 0.0043, 0.004... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(5)) + 13.5 * Z(0) + 2.5 * Z(1) + 2.5 * Z(3) + 10.0 * Z(4) + 3.0 * Z(2) + 20.0 * Z(7)... | 18 | 8 | 1 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["01110000"], "largest_eigenvalue": 152.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.8063695122894015) q[0];
rz(-0.19902060588943993) q[0];
rx(0.2294583992477875) q[1];
rz(0.08835364987175895) q[1];
rx(0.028701101979222765) q[2];
rz(-0.3743456670716683) q[2];
rx(0.15030399663708627) q[3];
rz(-0.1463057445226865) q[3];
rx(0.9003732512757261) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIZII",
"ZIIZIIII",
"ZIIIIZII",
"IIZIIIIZ",
"IIZIZIII",
"ZIZIIIII",
"IZIIIIZI",
"ZZIIIIII",
"IZZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
13.5,
2.5,
2.5,
10,
3,
20,
20,
14.5
] | 0.979862 | [
0.8063695122894015,
-0.1354604598117258,
0.2294583992477875,
0.08835364987175895,
0.028701101979222765,
-0.3743456670716683,
0.15030399663708627,
-0.1463057445226865,
0.9003732512757261,
-0.008622197142405183,
0.7509001511632496,
-0.16054096170253354,
0.7907373811172432,
0.3024714375046001... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -76,
"target_ratio": 0.97,
"target_value": -73.72
} | 15 |
9529baf1c272123f159cd9ccf2735587 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4... | {"states": [19, 63], "expectation_value": -3.893450485743458, "params": null, "bitstrings": ["1101100", "1000000"], "total_optimization_steps": 47, "probabilities": [0.1570018601144807, 0.523779836596342], "optimization_time": 44.64224362373352} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + -0.5 * Z(... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.05951716756405023) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.02265479429026638) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.05951716756405023) q[1];
cx q[3], q[1];
h q[4];
cx q[2], q[4];
rz(-0.05951716756405023) 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];\ncry(1.5158) q[4], 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]... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.75,
-0.25,
-0.25,
0.75,
-0.25,
-0.5,
0.25,
-0.25,
-0.5,
0.25,
0,
0.5,
-0.25
] | 0.702551 | [
-0.05951716756405023,
0.02265479429026638,
-0.0017078621446601585,
-0.0009216693159784977,
-1.6675830071562805,
-1.5753684037053484,
-1.5740367613126494,
-1.5745622847367713,
1.3452619876330905
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 252 |
fc603aae74a127a53d7b15155a35177e | 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": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.01719806596521141, "params": [[0.0685], [-0.0635]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.6352640836597836e-05, 1.6352640836597836e-05], "optimization_time": 14.542309045791626} | 0.25 * (Z(0) @ Z(1)) + 0.0002314814814814815 * (Z(2) @ Z(0)) + 0.0002314814814814815 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0012345679012345679 * (Z(4) @ Z(0)) + -0.0009259259259259261 * (Z(4) @ Z(2)) + -0.0012345679012345679 * (Z(5) @ Z(1)) + -0.0009259259259259261 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 7.71604... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0217592592592224], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0217592592592157, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0177469135802277} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.12600111597027835) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.12600111597027835) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.12600111597027835) q[1];
cx q[0], q[1];
rz(-0.7094581060834471) q[0];
rx(0.06131908867994372) q[0];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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,
0.0002314814814814815,
0.0002314814814814815,
0.25,
-0.0012345679012345679,
-0.0009259259259259261,
-0.0012345679012345679,
-0.0009259259259259261,
0.25,
0.00007716049382716049,
-0.0011574074074074073,
0.00015432098765432098,
0.00007716049382716049,
-0.0011574074074074073,
0.000154... | 0.974056 | [
-0.12600111597027835,
1.3067247501817936,
-0.7094581060834483,
1.2847492232068922,
-0.6159332494798558,
1.8244581211638342,
1.4514479566830987,
-0.7129505066649858,
-1.0491840220649427,
0.06131908867994373,
0.0752940319779882,
-0.4954143064920319,
-0.13474376247105507,
0.052450775178995906... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -76,
"target_ratio": 0.97,
"target_value": -73.72
} | 61 |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | qaoa | {"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": [2910, 3499], "expectation_value": -0.914829724322721, "params": [[-0.0327, -0.018000000000000002, -0.0344, -0.0651], [0.0475, 0.0146, 0.025400000000000002, 0.055600000000000004]], "bitstrings": ["010010100001", "001001010100"], "total_optimization_steps": 10, "probabilities": [0.0003952706137945617, 0.00039... | 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": [-7.0, -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": ["100100010010", "100100010001", "100100001010", "010010001001", "010001100100", "010010001100... | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"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 |
e4e902d97ba530f1316e54d3eb408a10 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [315, 1339], "expectation_value": -1.2909694111520102, "params": [0.1942, 0.046, 0.2005, 0.0477, 0.1169, 0.1061, 0.11460000000000001, 0.1019, 0.2974, 0.008, 0.3033, 0.0216, 0.0969, 0.1374, 0.0969, 0.14200000000000002, 0.0917, 0.1406, 0.09290000000000001, 0.1481, 0.3007, 0.0068000000000000005, 0.3016000000000... | 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(4) @ Z(3)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(5) @ Z(3) @ Z(6)) + -0.125 * (Z(5) @ Z(3) ... | 7 | 11 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.25, "smallest_bitstrings": ["00101010100", "10011000010", "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... | 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIZIIIZIII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIIIZZIZIII",
"IIIZIZIZIII",
"IIIZZIIZIII",
"IIIZZZIIIII",
"IIIZZZIZIII",
"IIZIIZIIIII",
"IZIIIZIIIII",
"IZZIIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
... | 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 |
a9409fcc1c37f00d69e6ff7314eee747 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 6}, {"sour... | {"states": [0, 127], "expectation_value": -7.412372257379218, "params": [-0.37260000000000004, 0.9998, 0.2049, 0.49560000000000004, 0.2359, 1.1216000000000002, 0.006500000000000001, 0.9074000000000001, 0.40740000000000004, 0.4348, 0.4475, 1.6281, -0.5, 0.7925000000000001, -0.28040000000000004, 1.4189, 0.5829, 0.7126, 0... | -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(0) | 6 | 8 | 2 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(0.021658842194341686) q[1];
h q[2];
ry(0.021658842194341686) q[2];
h q[3];
cx q[3], q[1];
ry(-0.021658842194341686) q[1];
cx q[3], q[1];
cx q[1], q[2];
ry(-0.021658842194341686) q[2];
cx q[1], q[2];
ry(1.2690698017352298) q[1];
cx q[2], q[1];
ry(0.049... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIIIIZ"
] | [
-2,
0.5,
-2.5,
0.5,
-2,
0.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.973459 | [
0.04331768438868337,
1.558813512534159,
1.3186258314082524,
-0.09911205934604497,
1.434796182147094,
2.1301521039389266,
0.6213646781763157,
0.4215903718537248,
0.8017809575126001,
-0.6401186696082121,
0.004205360869080306,
0.062201038654250924,
-2.1445552086865884,
0.511324330828279,
0.... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 123 |
6daefc4dd59cf0044a6f4465e7314486 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 5}, {"source": 1, "target":... | {"states": [0, 3], "expectation_value": -2.6124077370048835, "params": [[-0.0461], [0.0562]], "bitstrings": ["111111111", "111111100"], "total_optimization_steps": 10, "probabilities": [0.0030905671864925547, 0.0031535187081371567], "optimization_time": 3.4620227813720703} | -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... | 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[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[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"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 |
78352b36d64b35d780c91f540c949806 | 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": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 8}, {"source": ... | {"states": [0, 832], "expectation_value": -31.693627463498203, "params": [1.1179000000000001, 2.1057, 0.1107, 0.0045000000000000005, -1.1252, 1.8170000000000002, 0.2873, 0.002, -0.002, 1.2259, 0.002, 0.0007, -1.1296000000000002, 1.1998, 0.1293, 0.0068000000000000005, 0.0032, 2.1679, -0.003, 0.0012000000000000001, 0.003... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 2.0 * (Z(5) @ Z(8)) + 1.0 * (Z(2) @ Z(8)) + 1.0 * (Z(2) @ Z(5)) + -3.0 * (Z(4) @ Z(8)) + -3.5 * (Z(4) @ Z(5)) + -3.5 * (Z(6) @ Z(8)) + -3.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -4.0 * (Z(7) @ Z(8)) + -4.0 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(2)) + 1.... | 6 | 10 | 1 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["0010111111"], "largest_eigenvalue": 48.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.2240137421970927) q[0];
rz(1.6978312778676177) q[0];
rx(-0.7029684358138636) q[1];
rz(1.8896931502934784) q[1];
rx(-0.021953574557899168) q[2];
rz(2.208912872393766) q[2];
rx(-0.6471313678112776) q[3];
rz(1.7523165131699692) q[3];
rx(0.11172181698153187) 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": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IZIIZIIIII",
"IZIIIIIZII",
"IIIIZIIZII",
"IZIIIZIIII",
"IIIIZZIIII",
"IZIZIIIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IZZIIIIIII",
"IIZIZIIIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIIIZIIIII",
"ZIIIIIIZII",
"ZIIIIZIIII"... | [
-1.5,
-1.5,
0.5,
2,
1,
1,
-3,
-3.5,
-3.5,
-3.5,
-2.5,
-4,
-4,
-3,
1,
1.5,
1,
-3,
0.5,
1,
-3,
-3,
0.5,
0.5,
0.5,
-3,
-3.5,
-2,
1.5,
1.5,
2,
1
] | 0.972915 | [
0.2240137421970927,
0.12703495107272078,
-0.7029684358138636,
0.3188968234985825,
-0.021953574557899168,
0.6381165455988689,
-0.6471313678112774,
0.1815201863750716,
0.11172181698153186,
0.11911199217287555,
-0.11503409358304481,
1.26817810921335,
-0.2486438318796687,
0.31485645237008525,
... | {
"n_parameters": 136,
"n_qubits": 10,
"optimal_eigenvalue": -33.5,
"target_ratio": 0.97,
"target_value": -32.495
} | 134 |
f2268dbc2cd9e9d8be6517cd34bc9399 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [4, 5], "expectation_value": -4.365054178262918, "params": [[[0.0002, 0.1943], [0.4923, 0.0004], [-0.0025, 0.2903], [0.48600000000000004, 0.00030000000000000003]], [[0.0014, 0.08610000000000001], [0.4964, 0.0004], [-0.0008, 0.3627], [0.4869, 0.00030000000000000003]], [[-0.0044, 0.17750000000000002], [0.4918,... | -1.25 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(3) + 1.75 * Z(1) | 1 | 4 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08466080018590566) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.4712491131715458) q[1];
cx q[2], q[1];
rz(0.6656506840572414) q[2];
rx(1.5126955950453878) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04495793256312783) q[3];
cx q[0], 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": []} | [
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
-1.25,
1.5,
-0.25,
-1.5,
-1.5,
-0.25,
0,
1.75
] | 0.564109 | [
0.08466080018590566,
-0.04495793256312783,
0.4712491131715458,
0.6656506840572409,
-1.5403474266364232,
-1.5490134012367487,
1.5126955950453878
] | {
"n_parameters": 7,
"n_qubits": 4,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 191 |
d38a98190cf444fbfb5f2b195c4aef5e | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [98, 70], "expectation_value": -5.8748610861216655, "params": [0.09040000000000001, 0.0019, 0.20470000000000002, 0.0007, 0.5065000000000001, 0.0023, 0.5071, 0.0011, 0.5002, -0.0054, 0.497, -0.0043, 0.045700000000000005, 0.1119, 0.0902, 0.0645, 0.0936, 0.1056, 0.2093, 0.020300000000000002, 0.49860000000000004... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 6 | 8 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["10111001", "10011101", "01110110", "00110111"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.19903674782408565) q[0];
rz(1.766612018338435) q[0];
rx(0.4166367422817769) q[1];
rz(1.1093970801597433) q[1];
rx(0.20549806743271076) q[2];
rz(1.9647419416604643) q[2];
rx(-0.10726932936643788) q[3];
rz(2.307549335206673) q[3];
rx(-0.46024840056865773) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"IZIIIIIZ",
"IIIIZIZI",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZIIIIIZI",
"IIIZIZII",
"IIZZIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"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,
-2,
-1.5,
-2,
-2,
-0.5,
-0.5,
-1.5,
-1
] | 0.970898 | [
-0.19903674782408562,
0.19581569154353842,
0.41663674228177683,
-0.46139924663515297,
0.2054980674327108,
0.3939456148655679,
-0.10726932936643789,
0.7367530084117756,
-0.4602484005686576,
0.11790023382682627,
0.9017211120239355,
0.025360291361047525,
0.9442016115144567,
0.3076329361943015... | {
"n_parameters": 78,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 53 |
9194789fd8ef7285e3eb985ead1ac825 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "... | {"states": [240, 255], "expectation_value": -2.6567380470123165, "params": [[-0.0765], [0.0745]], "bitstrings": ["111100001111", "111100000000"], "total_optimization_steps": 10, "probabilities": [0.0005927883024500464, 0.0006357574908546831], "optimization_time": 6.81041407585144} | -2.5 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(10)) + -2.0 * (Z(11) @ Z(10)) +... | 1 | 12 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.0, "smallest_bitstrings": ["111100000000"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.07860069792230337) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.015119854827492835) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.07860069792230337) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.07860069792230337) q[3];
cx q[1], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIIIZIZIIIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IZIZIIIIIIII",
"ZZIIIIIIIIII",
"ZIIZIIIIIIII",
"IZZIIIIIIIII",
"IIZZIIIIIIII",
"ZIZIIIIII... | [
-2.5,
1.5,
-2.5,
-2.5,
1.5,
-2.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.620411 | [
0.07860069792230337,
-0.015119854827492835,
1.2025737343756933,
1.420561511583274,
0.10917427762385505,
1.3063411210195484
] | {
"n_parameters": 6,
"n_qubits": 12,
"optimal_eigenvalue": -32,
"target_ratio": 0.97,
"target_value": -31.04
} | 173 |
9c58c5b77a3170e613a26f379fffeef6 | matching | adaptive_vqe | {"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": 12, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 5}, {"weight": 2... | {"states": [231, 118], "expectation_value": -28.194612110105133, "params": null, "bitstrings": ["00011000", "10001001"], "total_optimization_steps": 100, "probabilities": [0.07864466703615744, 0.08762589898821103], "optimization_time": 149.72674036026} | 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(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 158.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.30035957140227065) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.30035957140227065) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.30035957140227065) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.30035957140227065) q[3];
cx q[1], ... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"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(9.9081) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
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,
13.5,
5,
16.5,
19.5,
4.5,
17,
14.5,
11.5
] | 0.970623 | [
-0.30035957140227065,
1.1368758079646883,
-1.8923990284899774,
1.0436850348571591,
1.415620980349364,
-0.5091827167950427,
1.4790986719477293,
0.8820371628830349,
0.46473221419256594,
-0.15090594742638722,
0.055618018346008394,
0.32882508347878925,
-0.3312498441524585,
-0.09748772199396417... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 54 |
6440352897ae715b0d3a7f54566e1380 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 5}, {"weight": 18, "source": 0, "target": 2}, {"weight": 7, "source": 2, "target": 3}, {"... | {"states": [115, 110], "expectation_value": -9.940938289635072, "params": [[-0.046], [0.0738]], "bitstrings": ["10001100", "10010001"], "total_optimization_steps": 10, "probabilities": [0.00761585562069291, 0.008597335858610604], "optimization_time": 1.811805248260498} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 17.0 * Z(1) + 1.0 * Z(0) + 16.0 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.055697659287722925) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.055697659287722925) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.055697659287722925) q[2];
cx q[0], q[2];
rz(-0.4694826043279816) q[0];
rx(-0.3162701581341799) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17,
1,
16,
11.5,
10,
15.5,
7.5,
6
] | 0.970284 | [
-0.055697659287722925,
1.4547062001441282,
-0.46948260432798206,
1.3468945306892246,
-0.5579546998846485,
0.5519492686607871,
1.2072642378373164,
0.930898757947097,
-1.9298838529419649,
-0.3162701581341799,
0.09238996835585006,
0.3640056703940024,
-1.3794870854305046,
0.4012223804866644,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -67.5,
"target_ratio": 0.97,
"target_value": -65.475
} | 49 |
f6cdf6caae833c575489bb2b7a623058 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [28, 106], "expectation_value": -0.39340972325571477, "params": [[-0.061200000000000004, -0.0653], [0.0674, 0.06860000000000001]], "bitstrings": ["1100011", "0010101"], "total_optimization_steps": 10, "probabilities": [0.010568204172529348, 0.010985805711482137], "optimization_time": 6.2016260623931885} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + 0.0 * Z(5) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0010101"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.124759052725892) q[0];
rz(-pi) q[0];
ry(-3.0854626450991742) q[1];
rz(-pi) q[1];
ry(-0.03369902748015139) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4369841717910352) q[3];
ry(-0.03369902748015139) q[4];
rz(-pi) q[4];
h q[5];
ry(1.504625431852586) q[5];
cx q[5], q[0];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"IIZIIZI",
"IZIIZII",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-1,
-0.5,
0,
0
] | 0.995276 | [
-1.5205674065543304,
-1.4762215588150907,
1.504625431852586,
1.4369841717910352,
-0.10005583704498788,
0.23395710827992075,
0.2788948906500424,
0.02008177290338363,
0.0009735704753418978,
-0.03305978552082959,
-0.11837486768070965
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
0af33a976ec1c381deaa423c18839faf | 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": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [9, 41], "expectation_value": -2.5349316508193427, "params": [0.0022, 0.0032, 1.6037000000000001, 0.0044, 0.5532, 0.0018000000000000002, 1.6062, 0.006200000000000001, -0.0028, 0.0013000000000000002, -0.0026000000000000003, 0.0008, 1.6069, 0.0045000000000000005, 0.0021000000000000003, 0.0035, 0.00450000000000... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(5) @ Z(6)) + -0.0625 * (Z(3) @ Z(0) @ Z... | 16 | 7 | 1 | {"smallest_eigenvalues": [-4.0625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0625, "smallest_bitstrings": ["1010110"], "largest_eigenvalue": 5.9375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.1500648092816264) q[0];
rz(0.2894420724217075) q[0];
rx(0.20193358382172744) q[1];
rz(0.131506413701854) q[1];
rx(-0.043996941354002436) q[2];
rz(-0.47817576853610433) q[2];
rx(-0.09506138493143208) q[3];
rz(0.3639995305407293) q[3];
rx(0.6948591663024991) 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": []} | [
"IIIIZZI",
"IIZZIII",
"IIIIIZZ",
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"IIIZIZZ",
"IZIIIZZ",
"ZIIIIZZ",
"IZIZIIZ",
"ZIIZIIZ",
"ZZIIIIZ",
"IZIZIZI",
"ZIIZIZI",
"ZZIIIZI",
"ZZIZIII",
"IZIZIZZ",
"ZIIZIZZ",
"ZZI... | [
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
-0.5625,
-0.0625,
-0... | 0.97461 | [
1.1500648092816261,
0.12038576048415986,
0.2019335838217274,
-0.05291135389986372,
-0.043996941354002436,
-0.3383545190063643,
-0.09506138493143207,
0.32252158211896664,
0.694859166302499,
-0.2103278951039761,
1.0725501679329832,
0.1137455722352263,
1.1316616835343047,
-0.2302771968508166,... | {
"n_parameters": 56,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 19 |
b23cde890d8b1ae4239a91aa0ab68c6f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 6}, {"weight": 4, "source... | {"states": [250, 218], "expectation_value": -76.99352005575132, "params": [0.3148, 0.6788000000000001, 0.7569, -0.0172, 1.3091000000000002, 0.0386, 1.4996, 0.6208, 1.1391, 0.0267, 1.4855, 0.001, 0.6739, 0.5724, 1.4965000000000002, -0.13520000000000001, 0.39180000000000004, 0.5849, 0.26230000000000003, -0.4188, 1.3933, ... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 186.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.36378557997923583) q[0];
rz(2.217929649399509) q[0];
rx(0.9680069333944377) q[1];
rz(1.450003920573904) q[1];
rx(1.3259521987146974) q[2];
rz(1.4655799817858384) q[2];
rx(2.316076247402944) q[3];
rz(2.6149515661620946) q[3];
rx(1.1385661092080688) q[4];
rz(1.860399... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
13.5,
3,
14,
7,
16.5,
22,
8.5,
22.5,
4.5
] | 0.97106 | [
0.3637855799792359,
0.6471333226046123,
0.9680069333944379,
-0.120792406220993,
1.3259521987146976,
-0.1052163450090584,
2.316076247402944,
1.0441552393671985,
1.1385661092080688,
0.28960292374897584,
1.5316060459089313,
-0.07844651118185687,
0.3775615900327043,
0.4769803928236581,
1.733... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -90.5,
"target_ratio": 0.97,
"target_value": -87.785
} | 21 |
fbfefcfa74040d0ce51ad9f65d60106e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [192, 127], "expectation_value": -5.209158285142981, "params": [[-0.0664, -0.0683, -0.06420000000000001], [0.0682, 0.0684, 0.0668]], "bitstrings": ["00111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.01728862401094645, 0.01833945239040957], "optimization_time": 5.611666440963745} | -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)... | 1 | 8 | 3 | {"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 |
01c79553cd838cd252f6e60dedff49e5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 2, ... | {"states": [101, 127], "expectation_value": -8.40099804545785, "params": null, "bitstrings": ["10011010", "10000000"], "total_optimization_steps": 81, "probabilities": [0.13187941624328978, 0.7638268127257326], "optimization_time": 142.9818229675293} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.0845213497005627) q[0];
rz(-pi) q[1];
ry(-3.0455609286004646) q[1];
h q[2];
ry(1.4919071887247282) q[2];
h q[3];
ry(0.7240132628322454) q[3];
h q[4];
ry(0.9793324905949224) q[4];
h q[5];
ry(1.5402453113042955) q[5];
h q[6];
cx q[6], q[3];
ry(-0.72401326283... | 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[... | [
"IIIIIZIZ",
"IIIIIZZI",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IIIZIIZI",
"IZIZIIII",
"IIIZZIII",
"IIZIIZII",
"IIZIIIZI",
"IZZIIIII",
"IIZZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
-0.25,
-0.5,
-0.75,
0.5,
-0.5,
-0.75,
-0.5,
-2,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
0.5,
-0.25,
-0.25,
-0.75,
-1.25,
0.5,
-0.75,
2.25
] | 0.977783 | [
1.5402453113042955,
1.4480265256644909,
-0.6838943024593398,
1.4919071887247282,
1.6837402841554543,
1.958664981189845,
-1.8541117649949548,
1.9567893576185749,
2.1258717747278064,
-0.1690426994011254,
3.770151024236896,
-0.7583358906758061,
-0.4200762250226027,
1.8848100973159259,
-1.08... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 81 |
7e730361c33ee13441f322b05b11c58b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 4, "... | {"states": [0, 4095], "expectation_value": -11.217576442886156, "params": [[[-0.0024000000000000002, 1.6144], [0.0016, 0.0023], [0.0016, 0.0017000000000000001], [0.0016, 0.0019], [0.002, 0.0017000000000000001], [0.0016, 0.002], [0.0016, 0.002], [0.0016, 0.0019], [0.0016, 0.0021000000000000003], [-0.0028, 0.002400000000... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(11)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0... | 15 | 12 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.044223479198179524) q[0];
ry(0.0829496246119744) q[1];
ry(0.0829496246119744) q[2];
ry(0.0829496246119744) q[3];
ry(0.0748693501169942) q[4];
ry(0.0829496246119744) q[5];
ry(0.0829496246119744) q[6];
ry(0.0829496246119744) q[7];
ry(0.0829496246119744) 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] 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[12] c;
qubit[12... | {"node": 12} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIIZZIIIIIII",
"ZIZIIIIIIIII",
"ZZIIIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIIIZII... | [
-2,
0.5,
-2,
0.5,
-2,
0.5,
-1.5,
0.5,
-1.5,
-1,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5
] | 0.977577 | [
0.044223479198179524,
0.0829496246119744,
0.0748693501169942,
-0.13222399021101078,
-0.0014708636408147027,
2.9936255495001913,
0.12452711556513718,
-0.05067453804275659,
-0.0228302836868937,
0.04790452824422341,
0.1452622133718065,
0.2199068775239495,
-0.019067456807169196
] | {
"n_parameters": 13,
"n_qubits": 12,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 18 |
a07625cca84d78086a82f53802ed13a6 | 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": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [0, 1], "expectation_value": -11.355195248308831, "params": [-0.0151, -0.025, -0.0095, 0.046400000000000004, -0.0004, 0.2237, -0.0036000000000000003, 0.24100000000000002, -0.0057, 0.1691, 0.0007, 0.23520000000000002, -0.0031000000000000003, 0.1882, -0.0071, 0.1416, -0.001, 0.23440000000000003, -0.0032, 0.237... | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(2) @ Z(7)) + -0.75 * (Z(2) @ Z(1)) + 1.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z... | 6 | 10 | 3 | {"smallest_eigenvalues": [-13.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.0748662791017331) q[0];
rz(1.4593733774594053) q[0];
rx(0.018007511550331312) q[1];
rz(1.9499082069852047) q[1];
rx(0.09075558658653306) q[2];
rz(1.5065734950006746) q[2];
rx(0.26751742932451733) q[3];
rz(1.7272183645623116) q[3];
rx(-0.07554134050924582) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIIZZIIIII",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIIIIIIZZI",
"ZIIIIIIIIZ",
"ZIIIIIIIZI",
"IIIIZZIIII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIIIZZIII",
"IZIIZIIIII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IIIIZIIIII"... | [
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-1,
-0.5,
-0.5,
-0.5,
-0.75,
1.75,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-0.75,
-0.5,
0.25,
-0.25,
-1.75,
0.5,
1,
-1.25,
1.25,
1.25,
-0.75,
-0.25
] | 0.971759 | [
-0.0748662791017331,
-0.11142294933549154,
0.018007511550331312,
0.3791118801903081,
0.09075558658653307,
-0.06422283179422242,
0.26751742932451744,
0.15642203776741545,
-0.07554134050924582,
0.03620410904374854,
0.03594889587660795,
0.38096107187286665,
-0.09941214116878068,
0.21821578014... | {
"n_parameters": 155,
"n_qubits": 10,
"optimal_eigenvalue": -13.25,
"target_ratio": 0.97,
"target_value": -12.8525
} | 48 |
-8552380546948151023 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3, 4, 5, 8, 9], [0, 1, 2, 3, 4, 5, 9], [1, 2, 4, 6, 7, 8], [0, 1, 5, 6, 8, 9], [0, 1, 4, 7, 9], [0, 6, 7, 8, 9], [0, 3, 4, 6, 7], [2, 3, 5, 7, 9], [3, 4, 6, 7, 8], [0, 2, 4, 5, 6, 7, 9], [1, 5, 6, 7]]} | {"states": [886, 950], "expectation_value": -2.1907624203438387, "params": [1.5662, 0.0027, 1.5697, 0.0076, 1.6613, -0.005200000000000001, 1.4846000000000001, -1.5678, 0.4444, 0.0016, 0.8194, 0.0013000000000000002, 1.6255000000000002, 0.149, 1.2304000000000002, -0.22190000000000001, 1.572, 0.002, 1.5741, 0.001300000000... | 0.10714285714285715 * (Z(2) @ Z(3)) + 0.15714285714285714 * (Z(4) @ Z(3)) + 0.11428571428571428 * (Z(4) @ Z(2)) + 0.10714285714285715 * (Z(5) @ Z(3)) + 0.13095238095238096 * (Z(5) @ Z(2)) + 0.08095238095238094 * (Z(5) @ Z(4)) + 0.08333333333333334 * (Z(8) @ Z(3)) + 0.06666666666666667 * (Z(8) @ Z(2)) + 0.11666666666666... | 8 | 10 | 1 | {"smallest_eigenvalues": [-2.197619047619048], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1833333333333336, "smallest_bitstrings": ["0001001001"], "largest_eigenvalue": 11.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.3382542005205578) q[0];
rz(1.4994712856745664) q[0];
rx(1.7317367859144908) q[1];
rz(-0.2043611510499281) q[1];
cx q[1], q[0];
ry(-0.04413525740425759) q[0];
cx q[1], q[0];
ry(1.8310683840550503) q[0];
rz(-1.5458624461738122) q[0];
rx(1.4344151824168327) 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": []} | [
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIZIZIII",
"IIIIZIIZII",
"IIIIZZIIII",
"IZIIIIZIII",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIIZIIIII",
"ZIIIIIZIII",
"ZIIIIIIZII",
"ZIIIIZIIII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIIZIIZ",
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IZIIIIIIIZ"... | [
0.10714285714285715,
0.15714285714285714,
0.11428571428571428,
0.10714285714285715,
0.13095238095238096,
0.08095238095238094,
0.08333333333333334,
0.06666666666666667,
0.11666666666666667,
0.06666666666666667,
0.10714285714285715,
0.13095238095238096,
0.13095238095238096,
0.164285714285714... | 0.988594 | [
1.3382542005205578,
-0.07132504112032959,
1.7317367859144908,
-0.2043611510499281,
0.3115656747678971,
0.06553256750922631,
1.5740050354359263,
0.10400463693059356,
1.6995609584706648,
-0.005646802386949618,
1.410475947932135,
0.05297837041448762,
-0.13142910159334462,
-0.02260720431961475... | {
"n_parameters": 47,
"n_qubits": 10,
"optimal_eigenvalue": -2.197619047619048,
"target_ratio": 0.97,
"target_value": -2.1316904761904762
} | 1 |
d852e184ada04dc72c5523c7d0652e20 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [591, 590], "expectation_value": -5.361147519457769, "params": [0.8419000000000001, -0.0045000000000000005, 0.8338, 0.0019, -0.0015, -0.464, -0.0014, 0.0039000000000000003, 0.7409, 0.033800000000000004, 0.7466, 0.0004, 0.9085000000000001, -0.001, 0.9016000000000001, 0.0083, -0.0064, 0.4596, -0.00650000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(7) ... | 7 | 10 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.5, "smallest_bitstrings": ["0110111000", "1100111000", "0110110001", "1100110001", "0010110011"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.7248831407403198) q[0];
rz(0.10545125791204013) q[0];
rx(0.3912453888497559) q[1];
rz(-0.5231575284280532) q[1];
cx q[1], q[0];
rz(-0.2379228689069065) q[0];
cx q[1], q[0];
rx(1.340200062878917) q[0];
rz(-0.22907902596361018) q[0];
rx(-0.17299538586291824) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIIZIIZII",
"IIIIZIIIIZ",
"IIIIIIIZZI",
"IIIIIZIIZI",
"IZIIIZIIII",
"IZIIZIIIII",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZZIIIII",
"ZIIZIIIIII",
"IIZIZIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIIIIIIZI"... | [
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,
-1.5,
-2.5,
-1.5,
-1,
-0.5,
-0.5,
-0.5,
0
] | 0.970631 | [
1.7248831407403198,
-0.13247161099486643,
0.3912453888497559,
-0.5231575284280532,
-0.07299312837404956,
-0.5434879295029891,
1.4515731309347153,
0.23086144561252814,
-0.26678337802549246,
0.4641936338476409,
0.017007660339105765,
-0.7995145165699473,
1.2108661126226188,
0.2681313816553535... | {
"n_parameters": 46,
"n_qubits": 10,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 27 |
-773711819106880432 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 6], [1, 2, 5], [4, 6], [4, 5], [0, 4], [2, 3, 4, 7], [0, 1, 3, 6, 7], [2, 3, 5, 6], [1, 2, 4, 7], [1, 3, 4, 7]]} | {"states": [167, 120], "expectation_value": -0.11786579027572973, "params": [[-0.0838], [0.07590000000000001]], "bitstrings": ["01011000", "10000111"], "total_optimization_steps": 10, "probabilities": [0.0044115851854844845, 0.004435208601202261], "optimization_time": 0.9348716735839844} | 0.41666666666666663 * (Z(1) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.21666666666666667 * (Z(6) @ Z(1)) + 0.25 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.083333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["10000111"], "largest_eigenvalue": 8.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.6994836620902475) q[0];
ry(-2.932038337590702) q[1];
rz(-pi) q[1];
h q[2];
ry(1.703740377978978) q[2];
ry(-2.9961838733275807) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-0.3762578634006666) q[5];
cx q[4], q[5];
ry(0.3762578634006666) q[5];
cx q[4], q[5];
ry(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IZIIIZII",
"IZIIIIZI",
"IIZIIZII",
"IIZIIIZI",
"IZZIIIII",
"IIIZIZII",
"IIIZIIZI",
"IZIZIIII",
"IIZZIIII",
"IIIIIIZZ",
"IZIIIIIZ",
"IIIZIIIZ",
"IIIIZZII",
"IIIIZIZI",
"IZIIZIII",
"IIZIZIII",
"IIIZZIII",
"IIIIZIIZ",
"ZIIIIZII",
"ZIIIIIZI",
"ZZIIIIII",
"ZIIZIII... | [
0.41666666666666663,
0.25,
0.21666666666666667,
0.25,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.05,
0.05,
0.5,
0.16666666666666666,
0.13333333333333333,
0.13333333333333333,
0.08333333333333333,
0.16666666666666666,
0.05,
0.... | 0.972304 | [
1.703740377978978,
1.2745191489128254,
-0.7525157268013332,
1.3192580164259813,
-1.398967324180495,
-1.1066349682252357,
1.1344638743520306,
-0.6928573155432182,
0.13352951971586205,
-0.7297956876029177,
0.45355627288755024,
-0.48938725025639634,
0.3017367952397174,
-0.3618946880934183,
... | {
"n_parameters": 42,
"n_qubits": 8,
"optimal_eigenvalue": -3.083333333333334,
"target_ratio": 0.97,
"target_value": -2.9908333333333337
} | 14 |
a77eb5d2d5d9ffe0797bdf910ce4dc93 | 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": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -10.867320446253897, "params": [0.0039000000000000003, -0.3332, 0.0033, 0.0028, 0.0022, -0.4964, 0.0021000000000000003, 0.0039000000000000003, 0.8087000000000001, 0.0516, 0.8092, 0.0064, 0.0024000000000000002, -0.27140000000000003, 0.0023, 0.002, 0.0021000000000000003, -0.5531,... | -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(0)) + -0.5 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(9)) + -0.5 * (Z(1) @ Z(10)) + -0.5 * (Z(3) @ Z(8)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(7) @ ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-13.25, -13.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.25, "smallest_bitstrings": ["11011111111", "11011111110"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.18706244268457528) q[0];
rz(0.11366093397118249) q[0];
rx(0.021917062106063766) q[1];
rz(-0.5082785748172554) q[1];
rx(1.5478220962444926) q[2];
rz(0.39363350373459793) q[2];
rx(-0.1336754748315205) q[3];
rz(-0.19035676972697324) q[3];
rx(0.006085604096473819) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIZ",
"IZIIIIIIIIZ",
"ZIIIIIIIIIZ",
"IZIIIIIIIZI",
"ZIIIIIIIIZI",
"IIZIIIIZIII",
"IIIIIIIZIZI",
"IIZIIIZIIII",
"IIIIIIZIIZI",
"IIIIIIZZIII",
"ZIIIIZIIIII",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIIZIIIIIZI",
"IIIZIIIZIII",
"IIIZIZIIIII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIIIZIIZI... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.75,
-0.5,
-0.25,
-0.75,
-0.25,
1.75,
-0.5,
0,
-0.25,
0,
1.25,
1,
-0.5,
-0.5,
-1,
-0.5,
-0.75,
1.25
] | 0.978823 | [
-0.18706244268457528,
0.03279541057561415,
0.02191706210606377,
-0.43136995201227357,
1.5478220962444926,
0.05305482758795611,
-0.1336754748315205,
-0.33421734455654534,
0.00608560409647382,
-0.5582362156511562,
-0.3182176491901172,
0.11004245842926866,
-0.5375653218407074,
-0.021147635982... | {
"n_parameters": 41,
"n_qubits": 11,
"optimal_eigenvalue": -13.25,
"target_ratio": 0.97,
"target_value": -12.8525
} | 10 |
352869596703506385 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[11, 7], [10, 3], [9, 6], [0, 11], [1, 5], [2, 4], [1, 7], [8, 3], [4, 7], [0, 1], [0, 3], [4, 6], [2, 11], [0, 10], [9, 10], [9, 5], [0, 5], [10, 6], [2, 7], [2, 6], [11, 5], [1, 11], [0, 7], [2, 12], [9, 12], [10, 12], [10, 7], [0, 9], [11, 6], [8, ... | {"states": [2618, 2682], "expectation_value": -8.077447559005869, "params": [-0.0028, -0.0028, 1.5841, 1.5621, -0.002, -0.002, 2.2449, 0.889, 0.0245, -0.053200000000000004, -0.0027, -0.0027, 0.8646, 0.8641000000000001, 1.5732000000000002, 1.5741, 1.576, 1.5711000000000002, 1.5689000000000002, 1.5771000000000002, -0.002... | 0.5 * (Z(11) @ Z(7)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(3) @ Z(10)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(11)) + 0.5 * (Z(6) @ Z(10)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(11)) + 0.5 * (Z(0) @ Z(10)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(9)) + 0.... | 13 | 13 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1010110000101", "0000010111110", "0101001111010", "1111101000001"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.11922976315914127) q[0];
rz(-0.8244350401803251) q[0];
ry(1.6515321578597526) q[1];
ry(-0.029828930453938876) q[2];
ry(2.3493684843455864) q[3];
ry(0.08761856936859305) q[4];
ry(-0.013533354386404248) q[5];
ry(1.244138915198128) q[6];
ry(1.5034575978364146) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIZIIIIIII",
"IIZIIZIIIIIII",
"IZZIIIIIIIIII",
"IIZIIIIIIZIII",
"IIZZIIIIIIIII",
"IIIIIZZIIIIII",
"IZIIIIZIIIIII",
"IIZIIIZIIIIII",
"IIIZIIZIIIIII",
"IIIIIZIIIIIIZ",
"IZIIIIIIIIIIZ",
"IIZIIIIIIIIIZ",
"IIIIIIIIIZIIZ",
"IIIZIIIIIIIIZ",
"IIIIIZIIIIIZI",
"IZIIIIIIIIIZI",
"IIZIIIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0... | 0.9761 | [
0.11922976315914127,
1.6515321578597526,
-0.029828930453938876,
2.3493684843455864,
0.08761856936859305,
-0.013533354386404248,
1.244138915198128,
1.5034575978364146,
1.5610073680255663,
1.4812865397955244,
-0.10271816383619703,
1.534564149886961,
-0.02493470139690922,
-1.6488700803606502,... | {
"n_parameters": 47,
"n_qubits": 13,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 8 |
787e0bfd359c5676c8eb0120a2f9dd29 | 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": [629, 613], "expectation_value": -89.43286981540905, "params": [0.45990000000000003, 0.46840000000000004, 0.9074000000000001, 0.021, 0.0023, 0.4514, -0.0006000000000000001, 0.49010000000000004, 0.899, -0.0006000000000000001, 0.8978, 0.11570000000000001, 0.44970000000000004, 0.249, -0.0043, 0.6042000000000001... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(2) @ Z(5)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(10) @ Z(0)) + 6.5 * (Z(10) @ Z(4)) + 6.5 * (Z(9) @ Z(10)) + 7.5 * Z(0) + 5.5 * Z(1) + -3.0 * Z(3) + 14.5 * Z(5) +... | 18 | 11 | 3 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.5, "smallest_bitstrings": ["10110011010"], "largest_eigenvalue": 140.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.14215421404461756) q[0];
rz(0.8139943275358608) q[0];
rx(1.079457296611718) q[1];
rz(-0.02484267868208096) q[1];
rx(-0.0004870497978071153) q[2];
rz(0.6481313275563876) q[2];
rx(0.008723437348794424) q[3];
rz(0.6941235767926703) q[3];
rx(1.1844411043550624) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIZIIZII",
"IIIIZZIIIII",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"ZIIIIIIIIIZ",
"ZIIIIIZIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIIIZII",
"IIIIZIIIIII",
"IIIIIIZII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
7.5,
5.5,
-3,
14.5,
-3.5,
7,
22,
7.5,
-5,
12,
-2
] | 0.973253 | [
0.14215421404461756,
0.6049860008608928,
1.079457296611718,
-0.02484267868208096,
-0.0004870497978071153,
0.6481313275563876,
0.008723437348794424,
0.6941235767926703,
1.1844411043550624,
1.0261287786739726,
0.09990357971838153,
0.29738152469111323,
0.3031967126568075,
-0.09195684283726506... | {
"n_parameters": 95,
"n_qubits": 11,
"optimal_eigenvalue": -112.5,
"target_ratio": 0.97,
"target_value": -109.125
} | 13 |
7d2e8354bbcbc456262414017816878c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [80, 82], "expectation_value": -5.824241999039182, "params": [0.5958, -0.0031000000000000003, 0.0021000000000000003, 0.372, 0.611, 0.137, 0.0033, 0.3507, 0.1038, 0.4108, 0.5940000000000001, 0.2076, -0.0123, 0.3554, 0.601, 0.0022, -0.0034000000000000002, 0.3795, 0.6065, 0.1539, 0.003, 0.3552, 0.0949, 0.432, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) ... | 3 | 7 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["0101101"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.5494844452525025) q[0];
rz(1.5486491324501142) q[0];
rx(-0.039678277732931554) q[1];
rz(1.6470472107929357) q[1];
rx(1.6626679060190528) q[2];
rz(1.6681044612233205) q[2];
rx(-0.11077409232451249) q[3];
rz(1.9341065834099869) q[3];
rx(0.6694949907746592) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"IIIZZII",
"ZIIIZII",
"IZIIIZI",
"IZIZIII",
"IZZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"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,
-2,
-1.5,
-2.5,
-1.5,
-1.5,
-1,
-1.5
] | 0.975682 | [
1.5494844452525025,
-0.022147194344781913,
-0.03967827773293156,
0.07625088399803912,
1.6626679060190526,
0.09730813442842348,
-0.11077409232451248,
0.3633102566150902,
0.6694949907746592,
-0.21616780515378003,
1.3427741687318178,
-0.14268629026902196,
-0.17233115819198355,
0.3278354784641... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 15 |
-8520210685024926198 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 6], [3, 6], [0, 5], [1, 5], [4, 6]]} | {"states": [113, 97], "expectation_value": -1.2911964374401348, "params": [1.0030000000000001, 0.023200000000000002, 1.0012, 0.0019, 1.0083, 0.0359, 1.004, 0.007200000000000001, 0.9955, -0.2041, 0.7792, 0.0009000000000000001, 0.9945, 0.0318, 0.34690000000000004, 0.0031000000000000003, 1.0046, 0.0179, 0.3504, 0.0056, 0.... | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(0) + 0.16666666666666674 * Z(6) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 *... | 6 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["0011110", "1101100", "0000011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.2818003108364889) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(-0.2818003108364889) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-0.2818003108364886) q[2];
rx(0.794490877865968) q[2];
rz(-0.281800310836488... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIIZ",
"IZIIIZI",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IZIIIII",
"IIIIIZI",
"IIZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666663,
0.16666666666666674,
0,
0,
0,
0
] | 0.588604 | [
-0.2818003108364889,
-1.0079241077894627,
0.09223844971083339,
0.7944908778659682
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 106 |
69144809aea48cb46eae9c3950f24a15 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 2], "expectation_value": -2.4960403101269373, "params": null, "bitstrings": ["111", "101"], "total_optimization_steps": 6, "probabilities": [0.0039596610753226446, 0.9960403245258139], "optimization_time": 1.5217788219451904} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["101"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[0];\nry(-1.5681)... | [
"ZZI",
"IZZ",
"IIZ",
"IZI",
"ZII"
] | [
0.5,
0.5,
-1,
-0.5,
-1
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
c27e04a1b516da945dec2e0c25bb156f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [256, 129], "expectation_value": -18.330253475223586, "params": null, "bitstrings": ["011111111", "101111110"], "total_optimization_steps": 56, "probabilities": [0.12370274241009936, 0.6775043444876436], "optimization_time": 96.37931370735168} | -0.5 * (Z(0) @ Z(4)) + -1.75 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(7)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(... | 1 | 9 | 3 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["101111110"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.06967276814104263) q[0];
rz(-0.5208853132243405) q[0];
rx(0.37891887116917855) q[1];
rz(-0.049982881516559274) q[1];
rx(-0.13726470414877495) q[2];
rz(-0.4430494836647938) q[2];
rx(0.003126559692845046) q[3];
rz(-0.3648118766750441) q[3];
rx(0.09891199110043837) q... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIZIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IIZIIIIZI",
"IZZIIIIII",
"IZIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIZIZII",
"IIZIIIZII",
"IZIIIIZII",
"IIIIZZIII",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"... | [
-0.5,
-1.75,
-1.25,
-1,
-0.5,
-0.25,
2,
-1,
-2.5,
-0.5,
-1,
-1.25,
-0.25,
-1.5,
-0.25,
-1.25,
-1.25,
-1.25,
-0.75,
-0.75,
-0.5,
0.75,
-0.25,
-2,
1.5,
-1.25,
0.75,
-0.5,
1.5,
-0.5
] | 0.980767 | [
-0.06967276814104263,
-0.5077052066360224,
0.37891887116917855,
0.11250276711834724,
-0.137264704148775,
-0.45793354836872574,
0.003126559692845046,
-0.42011945932490585,
0.09891199110043836,
-0.5070494861943647,
0.07526411138815307,
-0.5086162215845557,
-0.0346396890206757,
-0.66674823848... | {
"n_parameters": 124,
"n_qubits": 9,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 7 |
7494574309123452668 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2], [0, 1], [5, 7], [3, 6], [3, 5], [1, 5], [5, 6], [1, 4], [0, 4], [0, 2], [6, 7], [1, 7], [4, 6], [1, 6], [2, 6], [0, 3]]} | {"states": [57, 198], "expectation_value": -0.14530536824846865, "params": [[0.0666], [-0.0702]], "bitstrings": ["11000110", "00111001"], "total_optimization_steps": 10, "probabilities": [0.004505837073505162, 0.004505837073505162], "optimization_time": 0.7016832828521729} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) ... | 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": ["00111001", "11000110", "01111001", "00111101", "11000010", "10000110"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.47481046688942513) q[1];
cx q[2], q[1];
cx q[2], q[0];
rz(0.47481046688942513) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.47481046688942513) q[0];
cx q[1], q[0];
h q[3];
cx q[0], q[3];
rz(0.47481046688942513) q[3];
cx q[0], q[3]... | 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[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIIZIZ",
"IIIIIIZZ",
"IIZIIIZI",
"ZIIIIIZI",
"ZIZIIIII",
"IIIIZIIZ",
"IIZIZIII",
"IZIIIZII",
"IZIIIIZI",
"IZZIIIII",
"ZZIIIIII",
"IZIIZIII",
"IIIZIIZI",
"IIIZIIIZ",
"IZIZIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.458692 | [
0.47481046688942513,
-7.271685990081727e-9,
-0.6347880707629995
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 108 |
837aef83bf03fd18b079a281d9de166f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 13, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {... | {"states": [179, 122], "expectation_value": -6.136561092202148, "params": [[0.0442], [-0.0375]], "bitstrings": ["01001100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.005761267466221731, 0.0059965565212379], "optimization_time": 2.134361743927002} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.07765590714142556) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.07765590714142556) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.07765590714142556) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.07765590714142556) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10.5,
11.5,
18.5,
14,
19,
0.5,
16.5,
13
] | 0.971603 | [
-0.07765590714142556,
-1.5377008644579224,
1.1115691831187453,
-1.4419585168856286,
-1.6020903063782164,
-1.6805051446086472,
1.3619184107862854,
-1.445708208250168,
1.1918981913168127,
1.5614268144057815,
0.5289298608491824,
2.9757745457669236,
0.6756497393842693,
3.567192846486,
2.0962... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -73.5,
"target_ratio": 0.97,
"target_value": -71.295
} | 58 |
b426b8aff164c6823b185eb6b091738d | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 4, "target": 3}, {"source": ... | {"states": [38, 7], "expectation_value": -6.6048679557373084, "params": null, "bitstrings": ["011001", "111000"], "total_optimization_steps": 54, "probabilities": [0.10494263610666708, 0.6036000662340474], "optimization_time": 69.22995018959045} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 14 | 6 | 4 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
2,
2,
1.75,
2,
2,
1.75,
2,
1.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.5
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
1e8eda70963a542719de9c9e93de4b5d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": ... | {"states": [258, 262], "expectation_value": -20.16523427317501, "params": [-0.0111, -0.0094, -0.007500000000000001, -0.0012000000000000001, 0.0005, -0.0054, 0.30360000000000004, 0.29910000000000003, -0.0035, -0.001, 0.0015, 0.0011, 0.0, -0.0024000000000000002, -0.0032, -0.0035, -0.007500000000000001, -0.001, 0.2912, 0.... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(0)) + 2.25 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(8)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) ... | 14 | 12 | 4 | {"smallest_eigenvalues": [-21.25, -21.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["111011111001", "111011111101"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.03476591865861654) q[0];
rz(1.9570487491394992) q[0];
rx(-0.06201772275285634) q[1];
rz(1.3378609438728013) q[1];
rx(-0.1025729556225086) q[2];
rz(1.9695427859486898) q[2];
rx(0.7881709612814095) q[3];
rz(1.3031255824584296) q[3];
rx(-0.12710683926095898) 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... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIZIIIIIIZ",
"IIIZIIIZIIII",
"IIIZIIIIIIIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIZI",
"IIIZIIIIIIZI",
"IIIIIIIIZIZI",
"IIIIIIZZIIII",
"IIIIZIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZIIIZI",
"IIIIIIIZIZII",
"IIIIZIIIIZII",
"IIIIIIZIIZII",
"IIIZIZIIIIII",
"IIIIIZIIIIZI",
"IIIIIZIII... | [
-0.75,
-0.5,
-0.25,
-0.75,
2.25,
-0.5,
-0.75,
-0.75,
-0.25,
-1,
-0.25,
-1,
-1.25,
-1,
-0.25,
-1.25,
-0.5,
-1.75,
-0.75,
-0.5,
-0.25,
-1,
-0.25,
-1,
-0.75,
-0.75,
-0.5,
-1.5,
-0.25,
-0.5,
0.5,
0.25,
-1.75,
0.25,
0.25,
-0.5,
-1,
1,
3.25
] | 0.970238 | [
0.03476591865861654,
0.3862524223446028,
-0.062017722752856344,
-0.2329353829220962,
-0.1025729556225086,
0.39874645915379325,
0.7881709612814095,
-0.26767074433646654,
-0.12710683926095895,
0.2771883198130702,
0.060401837250453325,
0.6324062174254571,
0.13234244883759477,
0.31418414805979... | {
"n_parameters": 97,
"n_qubits": 12,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 28 |
c342bef2de813f1345cbd4fd6b87e999 | 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": 7, "source": 0, "target": 1}, {"capacity": 7, "source": 0, "target": 2}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [128, 1], "expectation_value": -5.9774369290707385, "params": [[-0.0424, -0.024200000000000003, -0.055, -0.0383], [0.057300000000000004, 0.011600000000000001, 0.058, 0.055]], "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 10, "probabilities": [0.01530714817058749, 0.018356031049646802], ... | -1.75 * (Z(0) @ Z(1)) + -3.25 * (Z(2) @ Z(1)) + -1.75 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(1)) + -1.75 * (Z(4) @ Z(0)) + 5.5 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(4)) + -1.75 * (Z(5) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -2.25 * Z(1) +... | 1 | 8 | 4 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0832683964858586) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.04333263113339251) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0832683964858586) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.3245076564815849) q[4];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIIIZ",
"ZIIIIIIZ",
"ZIIZIIII",
"IIZIIZII",
"IIIIZIZI",
"IIIZZIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-1.75,
-3.25,
-1.75,
-1.5,
-1.75,
5.5,
-1.5,
-1.75,
-1.75,
-1.75,
-0.25,
-1.5,
-1.5,
-2.25,
-0.25,
0.25,
-1.5,
4,
-2,
1.75,
0
] | 0.935817 | [
0.0832683964858586,
-0.04333263113339251,
0.3245076564815849,
-0.20576754096395392,
0.6312116206380989,
0.8048710908471846,
0.6712060563960475,
-0.6980052307749317,
0.7479323714829692,
0.8056059620735309,
1.0163843547714837,
1.6167287627922624,
0.18033812340052247,
-0.07046647749020202,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 500 |
d2afe27b0de0de0693309013bd4cb7f6 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [19, 104], "expectation_value": -0.1675627794017114, "params": [[-0.0766], [0.0727]], "bitstrings": ["1101100", "0010111"], "total_optimization_steps": 10, "probabilities": [0.008958561902615805, 0.008972567650702413], "optimization_time": 1.328526496887207} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -0.5 * Z(6) + -1.0 * Z(1) + -0.5 * Z(5) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["0010111", "1010011", "1111000", "1100110", "1110010", "1101100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.6603319576342586) q[0];
rz(-pi) q[1];
ry(-3.09132270976154) q[1];
h q[2];
ry(-1.59277342892783) q[2];
h q[3];
ry(10.929252278696099) q[3];
h q[4];
rz(-pi) q[5];
ry(-3.0980243226886683) q[5];
rz(-pi) q[6];
ry(-1.4685334302306399) q[6];
cx q[3], q[6];
ry(-0.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIZII",
"IIZIIIZ",
"ZIIIIIZ",
"IIIIZZI",
"ZIIIIZI",
"IZIIIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5,
-1,
-0.5,
0
] | 0.970121 | [
10.929252278696099,
-0.5854890024487437,
-15.870510362502078,
-2.371832064547635,
3.190282941504731,
0.5296199822347359,
-3.151836567617419,
33.118537899059916,
-1.59277342892783,
1.6603319576342586,
10.629557319388375,
3.048407594216927,
-37.408128681922456,
-0.017677031990097333,
-0.14... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -60.5,
"target_ratio": 0.97,
"target_value": -58.684999999999995
} | 63 |
834390fba4c480def6c6a26217d7a9af | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5... | {"states": [35, 33], "expectation_value": -10.499999938947196, "params": null, "bitstrings": ["1011100", "1011110"], "total_optimization_steps": 26, "probabilities": [4.003266179411504e-08, 0.999999957628926], "optimization_time": 22.295941829681396} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + 1.5 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1011110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(2.869273259256995) q[0];
ry(0.09542235691189135) q[0];
rz(-1.8369290239007654) q[0];
rz(-1.3551396718991269) q[1];
ry(2.50727987045565) q[1];
rz(1.7167877129662905) q[1];
rz(2.3001577391064183) q[2];
ry(0.08000879805697068) q[2];
rz(-0.6784659726885094) q[2];
rz(-1.9... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[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",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI"
] | [
-0.25,
-0.75,
-0.75,
-0.75,
-0.25,
2.25,
-0.25,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
1.5,
1.5
] | 0.97592 | [
-0.005918934518704563,
0.49370722410123724,
-0.8849965050263602,
0.07845337494703145,
0.02616735845959705,
0.7776578446832089,
-0.05296051004187756,
0.6678277614367606,
0.20933129799598119,
0.8357708806427091,
-0.050070225743099474,
0.7236417753361262,
1.1561876310254893,
-0.03088305928298... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 4 |
89d5c825b6a0ab169a92c6e188014bcd | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 3, "ta... | {"states": [92, 124], "expectation_value": -3.5791466698045458, "params": [-0.0162, -0.3861, 0.8059000000000001, -0.0448, 0.8055, -0.0014, 0.81, -0.0015, 0.8101, 0.0025, 0.81, -0.0029000000000000002, -0.0171, 0.46130000000000004, 0.1699, -0.263, -0.0158, 0.0024000000000000002, 0.8082, 0.0039000000000000003, 0.8001, 0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(7) + -1.5 * Z(6) + 0.0 * Z(1) + -0.5... | 3 | 8 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.03327614252487744) q[0];
rz(0.18354032422726446) q[0];
ry(1.1104950743801416) q[1];
rz(-0.1279398362156688) q[1];
cz q[1], q[0];
ry(2.1827046025819876) q[1];
ry(3.0035663980039717) q[2];
rz(-0.04427589483978107) q[2];
ry(-0.01083085837584638) q[3];
rz(-0.49330288... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIIIZ",
"ZIZIIIII",
"IZIZIIII",
"IZZIIIII",
"IZIIIIZI",
"ZIIIZIII",
"IZIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-0.5,
-1,
-1,
-1.5,
0,
-0.5
] | 0.971383 | [
-0.03327614252487744,
0.18354032422726446,
1.1104950743801416,
-0.1279398362156688,
3.0035663980039717,
-0.04427589483978107,
-0.01083085837584638,
-0.4933028836465053,
0.03560316724558342,
0.43168048337880605,
1.370825965832603,
-0.03657047444783783,
0.0742959605869093,
-0.026860265578728... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 11 |
7af7d775bcaae53afe2e6cd801577577 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4... | {"states": [53, 61], "expectation_value": -4.51330444394829, "params": null, "bitstrings": ["1001010", "1000010"], "total_optimization_steps": 37, "probabilities": [0.32302797343036166, 0.3231981112727231], "optimization_time": 28.75538182258606} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -0.5 * Z(5) + -0.75 * Z(3) + 1.25 * Z(1) + 0.0 * Z(4) + -0.25 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000010", "1000000", "1001010", "1001000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-3.566343849078252e-08) q[0];
h q[1];
ry(1.5707964254551867) q[1];
h q[2];
ry(0.7853981577683291) q[2];
h q[3];
h q[4];
cx q[4], q[2];
ry(-0.7853981577683291) q[2];
cx q[4], q[2];
ry(0.6154797280173793) q[4];
cx q[2], q[4];
ry(-0.6154797280173793) q[4];
cx q[... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5706) 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",
"IZIIZII",
"IZIIIIZ",
"IIIZIZI",
"IIZIZII",
"IIZIIZI",
"ZIIIIIZ",
"ZZIIIII",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.75,
-1.25,
-0.5,
1,
-0.5,
-0.75,
0.5,
-0.25,
-0.5,
-0.75,
1.25,
0,
-0.25
] | 0.95 | [
1.5707964254551867,
1.5707963155366582,
1.2309594560347585,
-7.132687698156503e-8,
2.189959071533727,
-0.47139845987290235,
-1.3036990549846905,
0.9516337926517188,
-0.3288340396280566,
-0.2670971148890294,
-0.8747769099903144,
-1.5707965383304736,
-2.53334717147801e-7,
0.5628747003910123,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 393 |
6de3ca972134e3b2df718cabf76739a9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [56, 49], "expectation_value": -4.9999374822341585, "params": null, "bitstrings": ["000111", "001110"], "total_optimization_steps": 26, "probabilities": [1.6356494444747167e-05, 0.9999687417661175], "optimization_time": 23.267864227294922} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9895735627532725) q[0];
rz(-pi) q[0];
h q[1];
ry(1.649206030902672) q[1];
cx q[1], q[0];
ry(0.020750894699326963) q[0];
cx q[1], q[0];
ry(0.06475921605593957) q[1];
ry(-0.025621518648993244) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08561498708161709) q[3];
h q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IZIIZI",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-2,
0,
-1
] | 0.9963 | [
-1.588799124059266,
-1.6939350649793659,
-1.4943029822572422,
1.649206030902672,
1.4395281306577028,
-0.10174365177732247,
-0.04150178939865393,
0.14037315026251265,
0.12951843211187913,
0.07504750220570425,
0.07097634417369998,
-0.03891395490893547,
-0.02859920646304469,
-0.09101380963563... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
ee68f24dce039a4cba3f3c3df952f527 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 4, "target": 3}, {"capaci... | {"states": [27, 31], "expectation_value": -0.09951357577745329, "params": [[0.0422, -0.056, -0.056600000000000004], [-0.0752, 0.0332, 0.055200000000000006]], "bitstrings": ["100100", "100000"], "total_optimization_steps": 10, "probabilities": [0.01777568240571452, 0.01800759355657221], "optimization_time": 2.1476705074... | 0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.25 * Z(4) + 0.5 * Z(1) + 0.25 * Z(2) + -0.25 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["100000", "100100"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(1.7187054369255659) q[0];
cx q[5], q[0];
rz(0.09446777047799948) q[0];
rx(-1.466700987803215) q[0];
cx q[5], q[4];
rz(0.01333934725850041) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(0.01333934725850041) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"ZZIIII",
"IZIIZI",
"IIIZZI",
"IZZIII",
"ZIIIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.25,
-0.75,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
0.5,
0.25,
-0.25
] | 0.744299 | [
1.7187054369255659,
0.01333934725850041,
0.09446777047799972,
-1.1516700085688871,
1.5731593475807684,
-1.4667009878032147
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 189 |
5599bf10ca71927ac876cacb8b12fa55 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [22, 69], "expectation_value": -2.5820774408450866, "params": [[-0.054, -0.0473, -0.0753, -0.06860000000000001], [0.07300000000000001, 0.050100000000000006, 0.07060000000000001, 0.0694]], "bitstrings": ["1101001", "0111010"], "total_optimization_steps": 10, "probabilities": [0.020975243442590087, 0.021802322... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101001", "0111010"], "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(0.07415269114269459) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.07415269114269459) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.07415269114269459) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.07415269114269459) q[3];
cx q[0], 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"IIZIIZI",
"IIZZIII",
"ZIIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"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,
-1.5,
-1,
-2.5,
-1.5,
-0.5,
-1.5
] | 0.864887 | [
0.07415269114269459,
-1.68604805643772,
-1.8099461218403394,
1.443016048934571,
-1.494512272491701,
1.4645976572003123,
1.0927469485153785,
-0.47320607514433677,
-0.9787306474297965,
-0.2023439996070792,
-0.827568241380443,
-1.2321072303008926,
-0.5239782363821548,
-2.223436606296981,
0.... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 500 |
a25bc33cddfe63f4dc368e11c3293a34 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [17, 1], "expectation_value": -0.5110879517186167, "params": [[-0.0476, -0.0668], [0.057, 0.07060000000000001]], "bitstrings": ["111101110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0030386446240473044, 0.0033833846977857434], "optimization_time": 3.97324275970459} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(7) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.026975180076499048) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.08296826734450104) q[4];
cx q[1], q[4];
cx q[0], q[4];
cx q[1], q[3];
rz(0.026975180076499048) q[3];
cx q[1], q[3];
rz(-0.08296826734450104) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIIZIZII",
"IIIZIIZII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"IIZZIIIII",
"IIZIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIIIZII",
"... | [
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5,
1,
-0.25,
-0.25,
-0.25,
-0.75,
-0.5,
0,
-0.25,
0.5,
-1.25,
0.75,
-0.75,
0.75,
-0.5,
0.75
] | 0.598314 | [
0.026975180076499048,
-0.08296826734450104,
0.09428954881710486,
0.006474232209164011,
1.5643199233812628,
1.571141275045979,
-1.5716720332861775,
1.5727485853029148,
-1.5645656906653869
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 267 |
1e66658283a5aa7556a964c41aeb84ff | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [0, 127], "expectation_value": -11.646647098023237, "params": [[[-0.0017000000000000001, -0.786], [-0.0026000000000000003, 0.0017000000000000001], [-0.0023, -0.0025], [-0.0022, -0.003], [-0.003, -0.0028], [-0.0027, -0.0039000000000000003], [0.0049, -0.0193], [1.7432, -0.0005]], [[0.5326000000000001, -1.6281]... | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(7)) + -1.25 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -1.5 * (Z(4) ... | 15 | 8 | 2 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(0.005559243985634868) q[0];
cx q[7], q[0];
rz(-0.05468477954647444) q[0];
rx(1.4808495225559397) q[0];
cx q[7], q[1];
rz(-0.2251769942614919) q[1];
cx q[7], q[1];
cx q[7], q[2];
rz(-0.2251... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIIIIZII",
"IIIIIZZI",
"ZIZIIIII",
"IIZIIIZI",
"IZIIIIZI",
"IZZIIIII",
"IIIIZZII",
"ZIIZIIII",
"IIIZIIZI",
"IIIZIZII",
"IZIZIIII",
"IIIZZIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.25,
-1.25,
-1.25,
-1,
-0.5,
-1.5,
-0.5,
-1.75,
-0.25,
-0.75,
-0.25,
-0.75,
-0.25,
-1.5,
-3.5,
-0.25,
4,
-0.75,
-1.25,
0,
-0.25,
2
] | 0.840546 | [
0.005559243985634868,
-0.2251769942614919,
0.014078273455673817,
-0.13258183894919015,
-0.6507055880512345,
-0.07610002195760088,
-0.05468477954647449,
-0.009310548940203356,
1.0145287463405748,
-0.984669273512638,
-0.31651126330196433,
-1.526871870686111,
1.48084952255594,
-0.006048706674... | {
"n_parameters": 25,
"n_qubits": 8,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 500 |
6c729dfd5e7001e3a38620bc1dd3c2de | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [45, 39], "expectation_value": -4.999144858283781, "params": null, "bitstrings": ["1010010", "1011000"], "total_optimization_steps": 36, "probabilities": [0.06552908063231486, 0.9338662614321694], "optimization_time": 33.803727865219116} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) + -1.5 * Z(2) + 0.0 * Z(1) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011000", "1010010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.10758269301838308) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(0.10758269301838308) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.10758269301838308) q[2];
cx q[4], q[2];
rz(1.0158526286770417) q[4];
rx(-0.660651681254974... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"ZIIIIIZ",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIIIZZI",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1,
-0.5,
-1.5,
0
] | 0.977959 | [
0.10758269301838308,
1.0158526286770422,
-1.0830236518770011,
-0.7797930592220781,
0.7529332076282363,
-0.6606516812549744,
-0.1660913770954591,
0.09088404394185104,
-0.5392296610982585,
-0.7289087446503865,
-0.6129435813348304,
0.3486533609480895,
0.5287619526337042,
0.17317995659263544,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 39 |
74e5b8afd1f04f850c8f51ecde3fef19 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": ... | {"states": [24, 12], "expectation_value": -0.4384972971992085, "params": [[-0.053200000000000004, -0.0342], [0.0674, 0.051500000000000004]], "bitstrings": ["100111", "110011"], "total_optimization_steps": 10, "probabilities": [0.018272709694198436, 0.018272709694198447], "optimization_time": 2.826350688934326} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) + -1.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["111100", "101101", "111001", "110011", "100111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3288835488220096) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3288835488220096) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.3288835488220096) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(-0.3288835488220096) q[0];
cx q[3], q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1,
-1,
-0.5,
-1.5
] | 0.710578 | [
-0.3288835488220096,
-0.4569013984649304,
0.39546902870984457,
-0.3214849664719219,
0.9367080556633262,
0.16515648853293044,
-0.1360939212779516,
0.39540444651921214,
0.8277812160071212,
-0.22629743565087163,
-0.6257377300833731,
0.5468911503864696,
0.21370137785717494,
0.4954772027731417,... | {
"n_parameters": 21,
"n_qubits": 10,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 500 |
-3023800187148767574 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 6], [0, 3], [4, 5, 6], [1, 2, 3, 4, 7], [6, 7], [5, 7], [0, 1, 2]]} | {"states": [201, 118], "expectation_value": -0.05135044907505144, "params": [[-0.0659], [0.0709]], "bitstrings": ["00110110", "10001001"], "total_optimization_steps": 10, "probabilities": [0.00423697202760991, 0.004262341700665841], "optimization_time": 3.1335909366607666} | 0.3333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.05 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.05 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.6999999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3666666666666667, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 5.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.03974710230479921) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.17096844503907807) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[3];
rz(-0.054240306107387226) q[3];
cx q[1], q[3];
cx q[1], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IZIIIIZI",
"IZIIIIIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IZIZIIII",
"IIIZZIII",
"IZZIIIII",
"IIZZIIII",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIZII",
"ZIIIIIZI",
"ZZIIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"ZIIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIII... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.05,
0.5,
0.05,
0.16666666666666666,
0.05,
0.16666666666666666,
0.16666666666666666,
0.21666666666666667,
0.16666666666666666,
0.05,
0.05,
0.05,
0.5,
0.05,
0.05,
0.5,
0.05,
0.43333333333333346,
0.333333333333333... | 0.586407 | [
-0.03974710230479921,
0.17096844503907807,
-0.054240306107387226,
-1.2301131242420602,
0.09594085403746722,
-1.7369031296128143,
0.005000473682931951,
-1.8187325848954063,
0.8667632498601026
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -2.6999999999999997,
"target_ratio": 0.97,
"target_value": -2.6189999999999998
} | 250 |
d255f243d36c9a74978598fd3f1ae2aa | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [3, 1], "expectation_value": -0.10189312666893646, "params": [[-0.013800000000000002], [0.020200000000000003]], "bitstrings": ["111111100", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002018531355446938, 0.002035096095475269], "optimization_time": 2.8218889236450195} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.25 * (Z(1) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(8) @ Z(2)) + 3.0 * (Z(8) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 23.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.0015797083872811958) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(0.0015797083872811958) q[6];
cx q[2], q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(0.9191343808234266) q[1];
cx q[2], q[1];
cx q[2], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIIIIZZI",
"IIIIZIZII",
"IIZIZIIII",
"IIIIZIIZI",
"IIIIIZZII",
"IIZIIZIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"IZIZIIIII",
"IIIZIIIZI",
"IIIZZIIII",
"IIIZIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIZIIIIII",
"... | [
-1.25,
-1.25,
-1,
-0.5,
-1.25,
-0.25,
-1.25,
-0.5,
-0.75,
-0.5,
-0.25,
-1,
-0.5,
3,
-1,
-0.75,
-1,
-1.25,
2.5,
-0.25,
-2.75,
1.75,
-0.25,
-4.5,
1.5,
2.5,
-0.5
] | 0.966391 | [
0.0015797083872811958,
0.07444851338433524,
0.03178757882166383,
0.9191343808234266,
0.046583013805105114,
-0.6239256600860845,
-0.18609342583049215,
0.006772467483078026,
0.9753874413480804,
0.8080312418198444,
0.7786613312674362,
1.4362060176962061,
0.06557371914701193,
0.307507060029793... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 500 |
383e9bbba4c1f2fb35a314751837dc18 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [184, 182], "expectation_value": -1.9275725656555316, "params": [[[0.0182, -0.4525, 0.0, 0.0081], [1.0063, 0.4212, 0.8621000000000001, 0.029], [0.07060000000000001, 0.4862, -0.0707, -0.224], [-0.0833, -0.37460000000000004, 0.5743, 0.0057], [0.1446, -0.7499, 0.09380000000000001, 0.08900000000000001], [-0.1073... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(8) @ Z(1)) + 0.25 * (... | 11 | 9 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.0, "smallest_bitstrings": ["010101100", "101000011", "011001100", "010111000", "011001001", "101100010", "011101000", "101001001", "101000110", "100100110",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.1416640166708738) q[0];
rz(pi/2) q[0];
ry(-0.793131122259061) q[1];
ry(0.9874203751404078) q[2];
ry(0.3526357806200685) q[3];
ry(0.9450157166198869) q[4];
ry(0.4479145245470849) q[5];
ry(0.15335503940443432) q[6];
ry(0.033864882667896196) q[7];
ry(0.358051147430653... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZZIIIZ",
"IIIIZIZII",
"IIZIIIZII",
"IIZIZIIII",
"IIZIZIZII",
"IZIZIIIII",
"IZIIIIIZI",
"ZIIIIIIZI",
"ZZIIIIIII",
"ZZIIIIIZI",
"IIZIIZIII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZIZIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
0,
-0.25,
0,
-0.25,
0
] | 0.974696 | [
1.1416640166708738,
-0.793131122259061,
0.9874203751404078,
0.3526357806200685,
0.9450157166198869,
0.4479145245470849,
0.15335503940443432,
0.033864882667896196,
0.35805114743065397,
0.48997852704646144,
0.02854646469859531,
-0.02131075108760231,
0.11179269493306157,
-0.5032424079837996,
... | {
"n_parameters": 108,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 109 |
1dcb3c744ddd55658248ce3c7196418c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}]} | {"states": [0, 6], "expectation_value": -1.839404930713778, "params": [-0.46480000000000005, 0.8548, -0.4007, 0.8624, -0.4652, 0.8417, -0.39440000000000003, 0.8318000000000001, -0.38280000000000003, 0.5495, -0.3269, 0.763, 0.4197, 0.6806, 0.4242, 0.2828, 0.398, 0.6446000000000001, 0.42250000000000004, 0.436700000000000... | -1.0 * (Z(0) @ Z(1)) + 0.5 * Z(1) + 0.5 * Z(0) + -0.5 * Z(2) | 6 | 3 | 3 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0652804248318555) q[0];
rz(-0.4790339043757319) q[0];
rx(0.9745577300577288) q[1];
rz(0.29346053770470665) q[1];
rx(0.0157130110860835) q[2];
rz(0.618448567596635) q[2];
rx(1.0308831125161482) q[3];
rz(0.23627299479722735) q[3];
rx(1.1756644845217723) q[4];
rz(0.3... | 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[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IZZ",
"IZI",
"IIZ",
"ZII"
] | [
-1,
0.5,
0.5,
-0.5
] | 0.970132 | [
1.0652804248318557,
-0.3214709232980808,
0.9745577300577288,
0.29346053770470665,
0.0157130110860835,
0.618448567596635,
1.0308831125161482,
0.23627299479722735,
1.1756644845217723,
0.3067858491711559,
1.00009586838585,
-0.016079870551915385,
1.0041750502695932,
-0.3884080547291887,
0.19... | {
"n_parameters": 137,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999897,
"target_ratio": 0.97,
"target_value": -19.3999999999999
} | 19 |
0331c5ff83e33f6c47413b32d0c31ca9 | 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": 6, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target":... | {"states": [1024, 1023], "expectation_value": -29.765630318430688, "params": [[[-0.0051, -0.0095], [-0.0038, -0.0033], [-0.0031000000000000003, 0.0023], [-0.0032, -0.0029000000000000002], [-0.0028, -0.0026000000000000003], [-0.0024000000000000002, 0.0021000000000000003], [-0.0015, -0.0022], [-0.0029000000000000002, -0.... | -1.5 * (Z(0) @ Z(7)) + -3.0 * (Z(6) @ Z(7)) + -0.75 * (Z(1) @ Z(6)) + -1.25 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -0.25 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(5)) + -1.25 * (Z(8) @ Z(3)) + -3.0 * (Z(10) @ Z(6)) + -1.5 * (Z(10) @ Z(1)) + -2.0 * (Z(10) ... | 15 | 11 | 4 | {"smallest_eigenvalues": [-30.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.25, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 30.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.28138618053326575) q[0];
ry(-0.017598855875054012) q[1];
ry(0.1831778598571224) q[2];
ry(-0.17688784676693667) q[3];
ry(0.032896764892067776) q[4];
ry(0.055323058935125916) q[5];
ry(0.20365398777937221) q[6];
ry(-0.06844819877349348) q[7];
ry(0.11420958527020492)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIZ",
"IIIZZIIIIII",
"IIIIZIIIIZI",
"IIIZIZIIIII",
"IIIIZZIIIII",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"IIZIIIIZIII",
"ZIIIZIIIIII",
"ZIIIIIIIIZI",
"ZIIIIIIZIII",
"ZIZIIIIIIII",
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"ZIIIIIIIZII",
"IIIZIIZII... | [
-1.5,
-3,
-0.75,
-1.25,
-1,
-1.25,
-1.5,
-0.25,
-1,
-0.5,
-1.25,
-3,
-1.5,
-2,
-1,
1.75,
-1,
-1.25,
-1.25,
-1,
-0.25,
-0.5,
-1,
-2,
-0.5,
-1.5,
0.75,
-0.25,
-0.75,
-2,
-2.5,
1.25,
-0.25,
2.25,
-2.5,
0.5,
3.5
] | 0.970796 | [
-0.28138618053326575,
-0.017598855875054012,
0.1831778598571224,
-0.17688784676693667,
0.032896764892067776,
0.055323058935125916,
0.20365398777937221,
-0.06844819877349348,
0.11420958527020492,
0.00928236693572751,
0.053759098321894475,
0.003142482586112204,
-0.08184836657513699,
-0.03985... | {
"n_parameters": 61,
"n_qubits": 11,
"optimal_eigenvalue": -30.25,
"target_ratio": 0.97,
"target_value": -29.342499999999998
} | 46 |
98adf9f7d6911da724636e2a906ef515 | 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": [2090, 2106], "expectation_value": -143.33538873164838, "params": [[0.6368, -0.0763, 0.0036000000000000003, -0.001, -0.0006000000000000001, -0.024200000000000003, 0.9026000000000001, 0.0097, 0.7928000000000001, -0.0004, 0.63, 0.0023], [0.6331, -0.0629, 0.0034000000000000002, 0.0005, 0.0055000000000000005, -0... | 8.5 * (Z(1) @ Z(0)) + 8.5 * (Z(3) @ Z(8)) + 8.5 * (Z(5) @ Z(8)) + 8.5 * (Z(6) @ Z(8)) + 8.5 * (Z(6) @ Z(5)) + 8.5 * (Z(7) @ Z(8)) + 8.5 * (Z(7) @ Z(5)) + 8.5 * (Z(7) @ Z(6)) + 8.5 * (Z(10) @ Z(0)) + 8.5 * (Z(9) @ Z(10)) + 8.5 * (Z(11) @ Z(6)) + 7.5 * Z(0) + -5.0 * Z(1) + 25.0 * Z(8) + -3.5 * Z(3) + 9.5 * Z(5) + 23.0 * ... | 10 | 12 | 4 | {"smallest_eigenvalues": [-151.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -143.5, "smallest_bitstrings": ["011111000101"], "largest_eigenvalue": 196.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.643505134464097) q[0];
ry(-0.12109677437247734) q[1];
ry(-0.021477046002603806) q[2];
ry(-0.4719244936702271) q[3];
ry(0.015682526168572047) q[4];
ry(-0.0857995386733105) q[5];
ry(1.1285858324479556) q[6];
ry(-0.08715792786918698) q[7];
ry(0.8723001774410012) 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], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIZIIIIZIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IZIIIIIIIIIZ",
"IZZIIIIIIIII",
"ZIIIIZIIIIII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIZIIIIIIII",
"IIIIIIIIZIII",
"IIIIIIZIIIII",
"IIIIIZIIIIII",
"IIIIZIIII... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
7.5,
-5,
25,
-3.5,
9.5,
23,
18.5,
9.5,
-5,
-7.5,
-16.5,
-14.5
] | 0.974774 | [
0.643505134464097,
-0.12109677437247734,
-0.021477046002603806,
-0.4719244936702271,
0.015682526168572047,
-0.0857995386733105,
1.1285858324479556,
-0.08715792786918698,
0.8723001774410012,
0.15356713472645878,
0.39544323699697165,
-0.14951990430742526,
0.7479944694226812,
-0.0528608666527... | {
"n_parameters": 57,
"n_qubits": 12,
"optimal_eigenvalue": -151.5,
"target_ratio": 0.97,
"target_value": -146.95499999999998
} | 11 |
e1e31cd8da97b1296222838354d79204 | 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": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"sour... | {"states": [56, 248], "expectation_value": -11.775911258108993, "params": null, "bitstrings": ["11000111", "00000111"], "total_optimization_steps": 63, "probabilities": [0.18032391976793935, 0.5362755427858598], "optimization_time": 54.22795820236206} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -1.5 * Z(6) + -1.5 * Z(5) + -1.5 * Z(7) | 5 | 8 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.021674064005247) q[0];
cx q[1], q[0];
rz(-0.9568489535979356) q[0];
rx(-1.4852101733885612) q[0];
rz(-0.9568489535979356) q[1];
rx(-1.4852101733885612) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.5077310367674133) q[2];
cx q[3], q[2];... | null | {"node": 6} | {"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[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] = measure q... | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1,
-1.5,
-1.5,
0.5,
-2,
-2,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.718356 | [
-3.021674064005247,
-1.5077310367674133,
-0.9568489535979353,
-0.005397137007634806,
0.0015350176540887314,
-1.4852101733885614
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 160 |
852e5560d0cbc49d98025b68fdf4272e | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "ta... | {"states": [127, 63], "expectation_value": -13.005512448647742, "params": [[[-1.5831000000000002, 0.0019], [0.0025, 0.0022], [0.0023, 0.0032], [0.0023, 0.0022], [-0.0132, 0.009000000000000001], [0.0029000000000000002, 0.0061], [3.1579, 0.001]]], "bitstrings": ["0000000", "1000000"], "total_optimization_steps": 320, "pr... | -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + -0.5 * Z(0) | 2 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-1.494101447852887) q[0];
ry(0.5086774017456035) q[0];
rz(3.074577017533831) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.0019069714618856985) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.04613534284515919) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.00190697146188569... | OPENQASM 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;
rx(x0) q[0];
rz(x1... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIIZZII",
"IIIZIZI",
"IIZIZII",
"IIZIIZI",
"IIZZIII",
"ZZIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIIIIZ"
] | [
-2,
1,
-2,
-2,
-2,
-2,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.990561 | [
0.0019069714618856985,
-0.04613534284515919,
0.07592510451152013,
1.6260721545847276,
-2.078222462929927,
-1.6081205187644767
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 23 |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [254, 238], "expectation_value": -3.946342952641631, "params": [0.49250000000000005, -0.18460000000000001, 0.49150000000000005, -0.2162, 0.7421, 0.042, 0.7522000000000001, 0.0267, 0.7705000000000001, 0.0345, 0.7684000000000001, 0.0392, 0.7615000000000001, 0.0412, 0.7645000000000001, 0.028900000000000002, 0.5... | 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 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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[... | {"start_node": 0, "end_node": 4} | {"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,
0.5,
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
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
6de3ca972134e3b2df718cabf76739a9 | 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": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [445, 695], "expectation_value": -0.3450996307596875, "params": [[-0.043000000000000003, -0.051300000000000005, -0.067, -0.0746], [0.0526, 0.0568, 0.0613, 0.06620000000000001]], "bitstrings": ["1001000010", "0101001000"], "total_optimization_steps": 10, "probabilities": [0.0020503740009507423, 0.002050374000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(6)) + -0.125 * (Z(... | 1 | 10 | 4 | {"smallest_eigenvalues": [-3.8125, -3.8125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.8125, "smallest_bitstrings": ["1001000010", "0101001000"], "largest_eigenvalue": 5.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9895735627532725) q[0];
rz(-pi) q[0];
h q[1];
ry(1.649206030902672) q[1];
cx q[1], q[0];
ry(0.020750894699326963) q[0];
cx q[1], q[0];
ry(0.06475921605593957) q[1];
ry(-0.025621518648993244) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08561498708161709) q[3];
h q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIIZ",
"IIIZIZIIIZ",
"IIIZZIIIIZ",
"IIIZZZIIII",
"IIIZZZIIIZ",
"IIIIIZIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIZIIZIIII",
"IZIIIZIIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,... | 0.9963 | [
-1.588799124059266,
-1.6939350649793659,
-1.4943029822572422,
1.649206030902672,
1.4395281306577028,
-0.10174365177732247,
-0.04150178939865393,
0.14037315026251265,
0.12951843211187913,
0.07504750220570425,
0.07097634417369998,
-0.03891395490893547,
-0.02859920646304469,
-0.09101380963563... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
cccde4707d298ae394e20cc161e11586 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "s... | {"states": [43, 9], "expectation_value": -6.005414055225549, "params": null, "bitstrings": ["111010100", "111110110"], "total_optimization_steps": 41, "probabilities": [0.2593643855933671, 0.3078667096801273], "optimization_time": 61.584296226501465} | -0.5 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["111110110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.05421342206995221) q[0];
rz(2.472793468584289) q[0];
rx(-0.09375759374281041) q[1];
rz(2.917477635073352) q[1];
rx(0.25161845486511375) q[2];
rz(1.5974753074152792) q[2];
rx(0.005844577706896247) q[3];
rz(2.6587657285286665) q[3];
rx(0.01727117515975269) q[4];
rz(... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIIIIIZI",
"IIZIZIIII",
"IZZIIIIII",
"IIZIIIIZI",
"IIIIZIZII",
"IZIIIIZII",
"IIIIIIZZI",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"ZIIIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"... | [
-0.5,
-0.75,
-0.25,
-1,
-1,
-0.5,
-0.75,
-2,
-1,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
2.25,
-0.5,
-0.25,
-0.25,
-0.25,
0.5,
-0.25,
-1,
1.25,
-2.75,
0.25,
0.5,
0.5,
1
] | 0.970013 | [
-0.05421342206995221,
0.9019971417893926,
-0.0937575937428104,
1.3466813082784552,
0.25161845486511375,
0.02667898062038268,
0.005844577706896246,
1.0879694017337702,
0.01727117515975269,
1.0719536248129202,
-0.9736904409911167,
0.037313040150841414,
1.1827146526257986,
1.164820999137664,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 3 |
ac8f6040a5bb03cdcb904dd06b95ed2a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 2, "source": 4, ... | {"states": [128, 9], "expectation_value": -5.231137130549852, "params": [[0.1937], [-0.5073]], "bitstrings": ["01111111", "11110110"], "total_optimization_steps": 60, "probabilities": [0.030250087794122412, 0.03257381372036792], "optimization_time": 2.7279975414276123} | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7) + 3.5 * Z(4) + -1.2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -7.5, "smallest_bitstrings": ["10000000", "11100000", "11010100", "11010000", "11000100", "11000000", "10110000", "10100000", "10010000", "11110000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7386445555225505) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.699357435260052) q[4];
h q[5];
ry(0.7857912315345207) q[5];
h q[6];
ry(0.7952068497622999) q[6];
cx q[4], q[6];
ry(-0.7952068497622999) q[6];
cx q[4], q[6];
cx q[6], q[5];
ry(-0.7857912315345207)... | 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": []} | [
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIZIZII",
"ZIIZIIII",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"IIZIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.75,
1,
-0.75,
-1,
-0.5,
-1.25,
-0.25,
-0.75,
-1.25,
-1.25,
-0.75,
-1.25,
-0.25,
0,
3.5,
-1.25,
-1.25,
-0.25,
0.75
] | 0.970151 | [
1.699357435260052,
1.5904136995245999,
1.6413495966824776,
-1.477289111045101,
1.5715824630690414,
-0.34092506407667983,
-1.075228145254072,
0.3564144742520738,
0.28922954353875785,
0.4885601712472523,
0.1255007105163221,
0.21953165800446972,
-0.743637569163143,
0.48812527030861697,
-1.0... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 15 |
199bc20adfdca6d6b6a06391ec8e4ac2 | 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": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, ... | {"states": [99, 75], "expectation_value": -3.7906260986707565, "params": null, "bitstrings": ["0011100", "0110100"], "total_optimization_steps": 48, "probabilities": [0.047690833434271065, 0.8614512857581781], "optimization_time": 45.532243728637695} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.4523877721739808) q[0];
cx q[2], q[0];
rz(-0.5386799338415806) q[0];
rx(1.0935187697481359) q[0];
h q[3];
cx q[2], q[3];
rz(-0.4523877721739808) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.4523877721739808) q[1];
cx q[3], q[1];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"ZIZIIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.677103 | [
-0.4523877721739808,
1.116287236063286,
-0.5386799338415805,
0.23783543840422666,
1.093518769748136,
-1.0373413032551704,
0.8730239505219086,
0.5760838156648229,
0.5260612418381394
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 229 |
58fa04385078dcdc0b5f9361c481400a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [207, 143], "expectation_value": -0.8639907828194455, "params": [1.0583, 0.1666, 0.8511000000000001, 0.5588000000000001, 0.3299, 0.5452, 0.30260000000000004, 0.5536, 1.2921, 0.36000000000000004, 1.0404, -0.056400000000000006, 1.2271, -0.44020000000000004, 1.2304000000000002, -0.3678, 1.0348, 0.00520000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)... | 18 | 8 | 2 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.125, "smallest_bitstrings": ["00110010", "01000110", "01010001", "01110000", "10001001", "01010100",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIZZZIII",
"IIIIZIIZ",
"IZIIIIIZ",
"IZIIZIII",
"IZIIZIIZ",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"IZIZIIZI",
"ZIIZIIZI",
"ZZIIIIZI",
"ZZIZIIII",
"ZZIZIIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0,
0.125,
0,
0,
0.125,
0,
0.125,
0.125
] | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
db7bdfb6ee94a36848a9fd983ceba634 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, ... | {"states": [1, 65], "expectation_value": -10.953761278791186, "params": [0.0028, 0.2546, 0.39530000000000004, 0.005, 0.004, 0.3058, 0.0028, 0.2386, 0.0031000000000000003, 0.3064, 0.005, 0.2836, 0.0044, 0.2731, 0.40080000000000005, 0.0028, 0.002, 0.29200000000000004, 0.3956, 0.005, -0.0008, 0.3052, 0.0025, 0.27030000000... | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.25 * Z(7) + 1.5 * Z(1) + 0.0 * Z(4) + -1.... | 3 | 8 | 4 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["10111110"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14039623119325925) q[0];
rz(0.5275495493461682) q[0];
rx(1.320633293684479) q[1];
rz(-0.37084208291648135) q[1];
rx(0.10075084016578803) q[2];
rz(0.0887312811211598) q[2];
rx(0.07445349494960915) q[3];
rz(0.4716776547025745) q[3];
rx(0.0012203990205976458) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZIZII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1.5,
-1,
-1,
2.75,
-1.5,
-1.75,
-0.75,
-1.25,
-0.5,
-0.25,
0,
-0.25,
-0.75,
1.25,
1.5,
0,
-1.5,
-0.25
] | 0.971311 | [
0.14039623119325925,
0.5697069044918339,
1.320633293684479,
0.002656640722524764,
0.10075084016578803,
0.2745350143407175,
0.07445349494960915,
0.21127976559546266,
0.0012203990205976456,
-0.2957591951349129,
0.8364192648053017,
0.179559348742313,
0.6253163906217188,
1.5230369812904816,
... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 14 |
6188528287626050567 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3, 4], [2, 3, 4], [1, 3], [1, 2]]} | {"states": [25, 22], "expectation_value": -0.043661851383734115, "params": [[0.0766], [-0.0848]], "bitstrings": ["00110", "01001"], "total_optimization_steps": 10, "probabilities": [0.03340058584229427, 0.03367980453996343], "optimization_time": 1.5096373558044434} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.33333333333333326 * Z(3) + 0.16666666666666666 * Z(0) + 0.3333333333333333 * Z(4) + 0... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.6666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3333333333333335, "smallest_bitstrings": ["01001"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.14851070229293437) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.6022332847073939) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[2];
rz(0.14851070229293437) q[2];
cx q[3], q[2];
cx q[3], q[1];
rz(0.8163653266562577... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x1) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(x0) q[4];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"IZZII",
"ZIZII",
"IZIZI",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIZII",
"IIIZI"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.33333333333333326,
0.16666666666666666,
0.3333333333333333,
0.16666666666666663,
0
] | 0.500327 | [
0.14851070229293437,
0.6022332847073939,
0.8163653266562577,
-0.47345367719212617,
-0.7936561455014234
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -1.6666666666666665,
"target_ratio": 0.97,
"target_value": -1.6166666666666665
} | 146 |
4f9c1bb9cc86662913da6ad2a3367139 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1023, 1019], "expectation_value": -19.5133145681381, "params": [[[-0.0023, 2.6985], [-0.0024000000000000002, -0.0023], [-0.0035, -0.0029000000000000002], [0.002, -0.0024000000000000002], [-0.0031000000000000003, -0.0024000000000000002], [-0.0027, -0.0028], [-0.10830000000000001, -1.1059], [-1.6205, -0.2644]... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + -1.5 * (Z(6) @ Z(8)) + -1.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) +... | 15 | 10 | 1 | {"smallest_eigenvalues": [-21.0, -21.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.0, "smallest_bitstrings": ["0000000100", "0000001110"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.05205831610111998) q[0];
ry(-0.013430880362730619) q[1];
ry(0.04746563100550836) q[2];
ry(-0.07019947872602965) q[3];
ry(0.1306827786194364) q[4];
ry(0.04052314759061204) q[5];
ry(-0.09335091107984757) q[6];
ry(-2.4606937294559166) q[7];
ry(-0.04300553737560367) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZIZIII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIZZIIII",
"IIIIIZZIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIZIIIII",
"IIIIIIZIII",
"IIIIIZIIII",
"IZIIIIIIII",
"IIZIIIIIII"... | [
-2.5,
-2.5,
-2,
-2.5,
1,
-2.5,
-2.5,
0.5,
1,
-2,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1,
0.5,
0.5
] | 0.972036 | [
0.05205831610111998,
-0.013430880362730619,
0.04746563100550836,
-0.07019947872602965,
0.1306827786194364,
0.04052314759061204,
-0.09335091107984757,
-2.4606937294559166,
-0.04300553737560367,
0.13612573240937348,
3.0555791595625283,
0.008939191155741752,
-0.6066140789329155,
-0.2670822125... | {
"n_parameters": 16,
"n_qubits": 10,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 23 |
b870bf177a3da6a6ab4722ca2196f1d4 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [34, 42], "expectation_value": -4.539152530515959, "params": [0.1973, -0.0834, 0.1986, -0.0813, 0.19690000000000002, -0.0627, 0.195, -0.035500000000000004, -0.0061, 0.11, 0.0029000000000000002, 0.109, 0.19690000000000002, -0.0616, 0.1952, -0.0366, -0.006900000000000001, 0.1184, -0.0064, 0.1111, 0.201, -0.061... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -2.5 * Z(4) + -0.5 * Z(0) + -1.0 *... | 5 | 7 | 4 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010101", "0010111"], "largest_eigenvalue": 16.0} | 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(0.13979582898122853) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.13979582898122853) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(0.13979582898122853) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(0.1397958... | 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": []} | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"ZIZIIII",
"ZIIIIZI",
"ZIIIZII",
"IIZZIII",
"IIIZZII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-1,
-1,
-2,
-1.5,
-1
] | 0.970674 | [
0.13979582898122853,
0.5451974851045387,
0.896311297188517,
-0.7414798324997988,
0.5352231120965443,
0.15835998395847423,
0.19561446837986352,
-0.10248641959100045,
1.145938659979391,
0.49965126800794935,
-0.9225964103626579,
0.7782952451572615,
1.5157746098993041,
1.5283742643698681
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 51 |
3928188676e428b6c75c7255e5b5e044 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [17, 153], "expectation_value": -0.7876753421997468, "params": [[0.066], [-0.0596]], "bitstrings": ["111101110", "101100110"], "total_optimization_steps": 10, "probabilities": [0.002675351769519489, 0.0026794861516912702], "optimization_time": 2.8722124099731445} | -0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(1)) + 3.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.75, "smallest_bitstrings": ["101100110"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6073416611042596) q[0];
h q[1];
ry(-0.026345425365336513) q[2];
rz(-pi) q[2];
ry(-0.0007133354418511689) q[3];
rz(-pi) q[3];
h q[4];
ry(0.784490879013381) q[4];
h q[5];
ry(0.7858660089208415) q[5];
cx q[1], q[5];
ry(-0.7858660089208415) q[5];
cx q[1], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIZIIZIII",
"IIZIIIIIZ",
"IZIIIZIII",
"IZIIIIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIIZIZIII",
"IIIZIIIZI",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZIIIIIIZI",
"ZIIZIIIII",
"IIIIIZZII",
"IIZIIIZII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIZIIIIII",
"... | [
-0.75,
-0.75,
-1,
-0.25,
-1,
-1.25,
-0.25,
-0.25,
-0.75,
-1.25,
3,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-1,
-3.25,
-0.25,
-0.75,
0,
1.5,
1,
0.5,
0.75,
0.5
] | 0.917427 | [
-1.569684775288371,
-1.2146833222085192,
1.5715095627947713,
-0.9727393991275854,
1.568981758026762,
0.009254978545741714,
1.571732017841683,
1.2302580760237989,
-0.09868665842247276,
-0.0010310197011390834,
-1.5193809150659674,
-1.892673947695763,
0.09878303233141211,
-0.19886850822880192... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -14.75,
"target_ratio": 0.97,
"target_value": -14.3075
} | 500 |
d2e3f71e5c020057da0dd1812bdf6517 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [56295, 57015], "expectation_value": -14.368925287490402, "params": [[0.1396, 0.34650000000000003, 0.7006, 0.8226], [-0.5374, -0.2797, -0.2141, -0.125]], "bitstrings": ["0010010000011000", "0010000101001000"], "total_optimization_steps": 190, "probabilities": [0.01336474303529137, 0.013364743035291376], "opt... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 1 | 16 | 4 | {"smallest_eigenvalues": [-15.999999999999975], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999936, "smallest_bitstrings": ["0010000101001000"], "largest_eigenvalue": 56.00000000000016} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1661276350304126) q[0];
rz(0.1368317091350482) q[0];
ry(0.04120953092979138) q[1];
rz(0.6237278116787298) q[1];
cz q[1], q[0];
ry(0.8639209804903288) q[0];
rz(-0.20514548926058004) q[0];
ry(0.1701074616062198) q[1];
ry(0.11262869094573309) q[2];
rz(0.3181473576708... | OPENQASM 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[16] c;
qubit[16] q;
h q[0];
h q[1];
... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0... | 0.975208 | [
1.1661276350304126,
0.1368317091350482,
0.04120953092979138,
0.6237278116787298,
0.11262869094573309,
0.3181473576708103,
0.734978694415438,
-0.2651028550205645,
-0.11298443044296277,
-0.5003240831397697,
0.31670140934387114,
0.2559084340847741,
0.0720191758938528,
0.2177008887266607,
0.... | {
"n_parameters": 181,
"n_qubits": 16,
"optimal_eigenvalue": -13.999999999999932,
"target_ratio": 0.97,
"target_value": -13.579999999999934
} | 75 |
9915ff93784d747e82bcd9a73a2399e5 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"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}]} | {"states": [2, 3], "expectation_value": -3.732712808157847, "params": [[[0.1925, -0.1937], [0.3002, -0.16], [0.3065, -0.1479], [0.5968, 0.0024000000000000002], [0.5857, 0.0018000000000000002]], [[0.1918, -0.1938], [0.305, -0.16], [0.30920000000000003, -0.1479], [0.5953, 0.0024000000000000002], [0.5913, 0.0019]], [[0.19... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], 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[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
-2.5,
-3,
-2.5,
-2.25,
-2.25
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
641715d728359ee981d7a3543c5c30a4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 5}, {"capac... | {"states": [512, 511], "expectation_value": -0.08839517511851468, "params": [[0.04], [-0.0322]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.001063742498820287, 0.0010690524044667036], "optimization_time": 2.9897172451019287} | -0.5 * (Z(0) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(8)) + -1.25 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(2)) + 0.75 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @ Z(5)) + -0.75 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1000000000", "1000100000"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.23303156752093054) q[0];
ry(0.041623128237904844) q[1];
ry(0.03109179038798683) q[2];
ry(0.013307819052873884) q[3];
ry(-0.07247950085337407) q[4];
ry(0.0880123982979336) q[5];
ry(0.07224784941901886) q[6];
ry(-0.001686252040885152) q[7];
ry(-0.9967155638341587) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IZIIIIIIIZ",
"IIIIIIIZZI",
"IZIIZIIIII",
"IIIIZIIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIZIIIII",
"IZZIIIIIII",
"IIZIIIIZII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIZIIIZIII",
"IIZIIZIIII",
"IIIZIIZIII",
"ZIIZIIIIII",
"IZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII"... | [
-0.5,
-0.75,
-0.5,
-1.25,
-0.5,
-0.5,
0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
-0.75,
-0.5,
-0.75,
-0.5,
-0.5,
0.25,
-0.25,
0.25,
0.75,
0.5,
-0.5,
-1.25,
-0.5,
-0.25,
1
] | 0.971421 | [
-0.23303156752093054,
0.041623128237904844,
0.03109179038798683,
0.013307819052873884,
-0.07247950085337407,
0.0880123982979336,
0.07224784941901886,
-0.001686252040885152,
-0.9967155638341587,
0.11941505612111912,
0.2850209726338214,
-0.020392237316460664,
-0.03304656930069785,
0.02534555... | {
"n_parameters": 65,
"n_qubits": 10,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 58 |
-6423939220827338176 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3], [1, 2], [1, 6], [0, 5], [3, 6], [1, 3], [0, 4], [1, 5], [2, 3], [1, 4], [4, 5], [0, 1]]} | {"states": [83, 85], "expectation_value": -0.12207648648128244, "params": [[0.0748], [-0.0702]], "bitstrings": ["0101100", "0101010"], "total_optimization_steps": 10, "probabilities": [0.008823640352598954, 0.008823640352598954], "optimization_time": 1.7057299613952637} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["1010101", "1010011", "0101010", "0101100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.12830365402180846) q[1];
h q[2];
ry(0.7881151738979527) q[2];
h q[3];
ry(-0.17874328927299465) q[3];
cx q[0], q[3];
ry(0.17874328927299465) q[3];
cx q[0], q[3];
ry(1.606498830189987) q[0];
ry(-0.7925448839827428) q[3];
h q[4];
ry(-0.825556176376133... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[3], q[2];
... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIIZIZI",
"IIIIIZZ",
"IIIZZII",
"IIIIZZI",
"ZIIZIII",
"ZIIIIZI",
"IZIIIIZ",
"IZIIIZI",
"IIZIIIZ",
"IIZIIZI",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.971448 | [
-0.2566073080436169,
1.515898697089797,
-0.04536393969784282,
1.465197244952871,
1.5762303477959054,
-0.6517515088122348,
-0.3574865785459893,
0.23099014922713287,
1.606498830189987,
-1.5850897679654856,
-1.651112352752266,
0.250333315249027,
0.1284179721821063,
0.43507152395048815,
0.15... | {
"n_parameters": 44,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 41 |
96d3819ecbf0e5da50ec00a60723b600 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capac... | {"states": [1023, 511], "expectation_value": -9.506434451238176, "params": [[[0.0024000000000000002, -0.0205], [-0.0011, 0.0023], [0.0046, 0.0021000000000000003], [0.0109, 0.0022], [0.002, 0.0022], [0.0054, 0.0023], [0.0064, 0.0023], [0.0033, 0.0021000000000000003], [-0.0006000000000000001, 0.005], [1.5777, 0.0057]], [... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(4)) + 1.5 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z... | 15 | 10 | 2 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.10158598717807901) q[0];
ry(0.08889514719719913) q[1];
ry(0.07664250448799574) q[2];
ry(-0.13300247973987248) q[3];
ry(-0.009408429365090273) q[4];
ry(0.047978221645255004) q[5];
ry(-0.0037613797151733264) q[6];
ry(0.07664250448799574) q[7];
ry(-1.618457070084472)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIZIZIII",
"IIIIIZIIZI",
"IIIIZZIIII",
"IIIIIZIZII",
"IZIIZIIIII",
"IZIIIIIZII",
"IZIIIZIIII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"IIIZZIIIII",
"IZIZIIIIII",
"IIZIIIIZII",
"IZZIIIIIII"... | [
-0.5,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
-0.75,
1.5,
-0.5,
-0.75,
-0.5,
-0.75,
-0.75,
-0.25,
-0.25,
-0.5,
0.5,
-0.25,
-0.25,
0.75,
0,
-1,
0,
-0.25,
0.5,
0
] | 0.970313 | [
0.10158598717807901,
0.08889514719719913,
0.07664250448799574,
-0.13300247973987248,
-0.009408429365090273,
0.047978221645255004,
-0.0037613797151733264,
-1.618457070084472,
0.33480027974605886,
0.004670696630649212,
0.0022502235439121783,
0.03628498653003024,
-0.009808424964719021,
0.0158... | {
"n_parameters": 45,
"n_qubits": 10,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 76 |
8e4b273e62e3bdbcb042f56fe9c0bd31 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [40, 42], "expectation_value": -1.9418890706454426, "params": [[[0.9034000000000001, -0.0006000000000000001], [-0.0019, 0.6372], [0.9048, -0.0006000000000000001], [0.20950000000000002, 0.3466], [0.8412000000000001, -0.0029000000000000002], [0.19740000000000002, -0.342]], [[0.9094000000000001, 0.0041], [-0.00... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(5) @ Z(2)) + -0.25 * Z(0) + -0.25 * Z(2) + -0.75 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["010101"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003570858544960076) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.003570858544960076) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.003570858544960076) q[1];
cx q[1], q[0];
rz(-0.11726358043627519) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZZIII",
"ZZIIII",
"ZIIZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5
] | 0.762533 | [
0.003570858544960076,
-0.11726358043627519,
-0.6462594328548128,
1.611929135236777,
0.6371699566376291,
0.9513101502862553,
0.03572501092869963,
0.07116209703665359,
-1.4784117063539257,
-0.06107024763807288,
0.8005656144892781,
0.538238114406948
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 320 |
1663731948582611538 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2], [3, 4], [4, 5], [1, 3], [1, 5], [1, 2], [0, 4]]} | {"states": [13, 50], "expectation_value": -0.00933815909714418, "params": [[0.0304], [-0.022000000000000002]], "bitstrings": ["110010", "001101"], "total_optimization_steps": 10, "probabilities": [0.015834112310485277, 0.015834112310485277], "optimization_time": 0.4517848491668701} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["101101", "001101", "100101", "110010", "010010", "011010"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.1863266335416717) q[0];
h q[1];
ry(-0.11935626625236623) q[1];
h q[2];
ry(0.7136046372357391) q[2];
h q[3];
h q[4];
ry(-0.11935626625236623) q[4];
cx q[3], q[4];
ry(0.11935626625236623) q[4];
cx q[3], q[4];
ry(0.7105337526232185) q[3];
ry(-0.51662890708674... | 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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIIIZ",
"IZZIII",
"ZZIIII",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIZIII",
"ZIIIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.979274 | [
-0.23871253250473246,
1.5854544888651563,
1.421067505246437,
-1.0332578141734907,
-0.8838144369726088,
1.4272092744714782,
0.19941144268369554,
0.2323596308731087,
-0.44004008799313876,
-0.3726532670833434,
-0.028364723321445816,
-0.36811908755991357,
0.348130372075309,
0.2002522982678216,... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 15 |
cde6b48ed870286595c1455af7aff8bd | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [8, 14], "expectation_value": -2.4999718231256973, "params": null, "bitstrings": ["0111", "0001"], "total_optimization_steps": 16, "probabilities": [1.3834265383317198e-05, 0.9999858819924374], "optimization_time": 5.888112783432007} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["0001"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"ZIIZ",
"ZIZI",
"ZZII",
"ZIII",
"IIIZ",
"IIZI",
"IZII"
] | [
0.5,
0.5,
0.5,
-1,
0,
0,
0
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
1c94d11683f581a2317745c654c36244 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 9}, {"weight": 11, "source": 0, "target": 7}, {"weight":... | {"states": [1000, 488], "expectation_value": -89.84636232681017, "params": [1.0119, 0.2992, 1.0215, 0.0019, 1.3008, 0.059300000000000005, 1.3, 0.008700000000000001, 1.3052000000000001, 0.0625, 1.2994, 0.0083, 1.2946, 0.0794, 1.2981, 0.0018000000000000002, 1.3052000000000001, 0.07930000000000001, 1.3011000000000001, 0.0... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-110.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.5, "smallest_bitstrings": ["1000010111"], "largest_eigenvalue": 198.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.2503213986776472) q[0];
rz(1.422292822686245) q[0];
rx(1.2067987758438221) q[1];
rz(0.28076391959681546) q[1];
rx(1.6986556949338574) q[2];
rz(0.06986744541160705) q[2];
rx(1.7942835204766643) q[3];
rz(-0.11248415609349083) q[3];
rx(1.6986556949338567) 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": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IZIIIIIZII",
"IZIZIIIIII",
"ZIIIIZIIII",
"ZIIIIIZIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
22,
14,
22,
23.5,
24.5,
7.5,
-2,
-3.5,
0.5,
2
] | 0.971737 | [
0.2503213986776472,
1.0739687069646977,
1.2067987758438221,
0.26915493354725545,
1.6986556949338572,
0.06856476337316814,
1.7942835204766643,
-0.1126725998778677,
0.0034933761106245576,
0.02380655519574762,
1.0766064415961485,
1.3353045796396616,
0.16468884163383338,
-0.04338615973982432,
... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -110.5,
"target_ratio": 0.97,
"target_value": -107.185
} | 34 |
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