Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zero-error capacity of a quantum channel   We define the quantum zero-error capacity, a new kind of classical capacity
of a noisy quantum channel. Moreover, the necessary requirement for which a
quantum channel has zero-error capacity greater than zero is also given.

7
The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin