Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal Framework for Quantum Error-Correcting Codes   We present a universal framework for quantum error-correcting codes, i.e.,
the one that applies for the most general quantum error-correcting codes. This
framework is established on the group algebra, an algebraic notation for the
nice error bases of quantum systems. The nicest thing about this framework is
that we can characterize the properties of quantum codes by the properties of
the group algebra. We show how it characterizes the properties of quantum codes
as well as generates some new results about quantum codes.

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The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
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The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg