Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monte Carlo analysis of critical phenomenon of the Ising model on memory
  stabilizer structures   We calculate the critical temperature of the Ising model on a set of graphs
representing a concatenated three-bit error-correction code. The graphs are
derived from the stabilizer formalism used in quantum error correction. The
stabilizer for a subspace is defined as the group of Pauli operators whose
eigenvalues are +1 on the subspace. The group can be generated by a subset of
operators in the stabilizer, and the choice of generators determines the
structure of the graph. The Wolff algorithm, together with the histogram method
and finite-size scaling, is used to calculate both the critical temperature and
the critical exponents of each structure. The simulations show that the choice
of stabilizer generators, both the number and the geometry, has a large effect
on the critical temperature.

25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
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The categories of this paper are: eess
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci