Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinite Families of Quantum-Classical Hybrid Codes   Hybrid codes simultaneously encode both quantum and classical information
into physical qubits. We give several general results about hybrid codes, most
notably that the quantum codes comprising a genuine hybrid code must be impure
and that hybrid codes can always detect more errors than comparable quantum
codes. We also introduce the weight enumerators for general hybrid codes, which
we then use to derive linear programming bounds. Finally, inspired by the
construction of some families of nonadditive codes, we construct several
infinite families of genuine hybrid codes with minimum distance two and three.

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The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex