Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Can long-range interactions stabilize quantum memory at nonzero
  temperature?   A two-dimensional topologically ordered quantum memory is well protected
against error if the energy gap is large compared to the temperature, but this
protection does not improve as the system size increases. We review and
critique some recent proposals for improving the memory time by introducing
long-range interactions among anyons, noting that instability with respect to
small local perturbations of the Hamiltonian is a generic problem for such
proposals. We also discuss some broader issues regarding the prospects for
scalable quantum memory in two-dimensional systems.

33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg