Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic and numerical demonstration of quantum self-correction in the
  3D Cubic Code   A big open question in the quantum information theory concerns feasibility of
a self-correcting quantum memory. A quantum state recorded in such memory can
be stored reliably for a macroscopic time without need for active error
correction if the memory is put in contact with a cold enough thermal bath. In
this paper we derive a rigorous lower bound on the memory time $T_{mem}$ of the
3D Cubic Code model which was recently conjectured to have a self-correcting
behavior. Assuming that dynamics of the memory system can be described by a
Markovian master equation of Davies form, we prove that $T_{mem}\ge L^{c\beta}$
for some constant $c>0$, where $L$ is the lattice size and $\beta$ is the
inverse temperature of the bath. However, this bound applies only if the
lattice size does not exceed certain critical value $L^*\sim e^{\beta/3}$. We
also report a numerical Monte Carlo simulation of the studied memory indicating
that our analytic bounds on $T_{mem}$ are tight up to constant coefficients. In
order to model the readout step we introduce a new decoding algorithm which
might be of independent interest. Our decoder can be implemented efficiently
for any topological stabilizer code and has a constant error threshold under
random uncorrelated errors.

33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn