Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement-assisted quantum error-correcting codes over arbitrary
  finite fields   We prove that the known formulae for computing the optimal number of
maximally entangled pairs required for entanglement-assisted quantum
error-correcting codes (EAQECCs) over the binary field hold for codes over
arbitrary finite fields as well. We also give a Gilbert-Varshamov bound for
EAQECCs and constructions of EAQECCs coming from punctured self-orthogonal
linear codes which are valid for any finite field.

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The categories of this paper are: hep-th
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The categories of this paper are: stat
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex