Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological approach toward quantum codes with realistic physical
  constraints   The following open problems, which concern a fundamental limit on coding
properties of quantum codes with realistic physical constraints, are analyzed
and partially answered here: (a) the upper bound on code distances of quantum
error-correcting codes with geometrically local generators, (b) the feasibility
of a self-correcting quantum memory. To investigate these problems, we study
stabilizer codes supported by local interaction terms with translation and
scale symmetries on a $D$-dimensional lattice. Our analysis uses the notion of
topology emerging in geometric shapes of logical operators, which sheds a
surprising new light on theory of quantum codes with physical constraints.

16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con