Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: General quantum error-correcting code with entanglement based on
  codeword stabilized quantum code   In this paper, we introduce a unified framework to construct
entanglement-assisted quantum error-correcting codes, including additive and
nonadditive codes, based on the codeword stabilized framework on subsystems.
The codeword stabilized (CWS) framework is a scheme to construct quantum
error-correcting codes (QECCs) including both additive and nonadditive codes,
and gives a method to construct a QECC from a classical error-correcting code
in standard form. Entangled pairs of qubits (ebits) can be used to improve
capacity of quantum error correction. In addition, it gives a method to
overcome the dual-containing constraint. Operator quantum error correction
(OQEC) gives a general framework to construct quantum error-correcting codes.
We construct OQEC codes with ebits based on the CWS framework. This new scheme,
entanglement-assisted operator codeword stabilized (EAOCWS) quantum codes, is
the most general framework we know of to construct both additive and
nonadditive codes from classical error-correcting codes. We describe the
formalism of our scheme, demonstrate the construction with examples, and give
several EAOCWS codes.

15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn