Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological order, entanglement, and quantum memory at finite
  temperature   We compute the topological entropy of the toric code models in arbitrary
dimension at finite temperature. We find that the critical temperatures for the
existence of full quantum (classical) topological entropy correspond to the
confinement-deconfinement transitions in the corresponding Z_2 gauge theories.
This implies that the thermal stability of topological entropy corresponds to
the stability of quantum (classical) memory. The implications for the
understanding of ergodicity breaking in topological phases are discussed.

21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
7
The categories of this paper are: hep-th