Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbative analysis of topological entanglement entropy from
  conditional independence   We use the structure of conditionally independent states to analyze the
stability of topological entanglement entropy. For the ground state of quantum
double or Levin-Wen model, we obtain a bound on the first order perturbation of
topological entanglement entropy in terms of its energy gap and subsystem size.
The bound decreases superpolynomially with the size of the subsystem, provided
the energy gap is nonzero. We also study the finite temperature stability of
stabilizer models, for which we prove a stronger statement than the strong
subadditivity of entropy. Using this statement and assuming i) finite
correlation length ii) small conditional mutual information of certain
configurations, first order perturbation effect for arbitrary local
perturbation can be bounded. We discuss the technical obstacles in generalizing
these results.

37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin