Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Restricted Boltzmann machine representation for the groundstate and
  excited states of Kitaev Honeycomb model   In this work, the capability of restricted Boltzmann machines (RBMs) to find
solutions for the Kitaev honeycomb model with periodic boundary conditions is
investigated. The measured groundstate (GS) energy of the system is compared
and, for small lattice sizes (e.g. $3 \times 3$ with $18$ spinors), shown to
agree with the analytically derived value of the energy up to a deviation of
$0.09\%$. Moreover, the wave-functions we find have $99.89\%$ overlap with the
exact ground state wave-functions. Furthermore, the possibility of realizing
anyons in the RBM is discussed and an algorithm is given to build these anyonic
excitations and braid them for possible future applications in quantum
computation. Using the correspondence between topological field theories in
(2+1)d and 2d CFTs, we propose an identification between our RBM states with
the Moore-Read state and conformal blocks of the $2$d Ising model.

34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
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The categories of this paper are: eess
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph