Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two infinite families of nonadditive quantum error-correcting codes   We construct explicitly two infinite families of genuine nonadditive 1-error
correcting quantum codes and prove that their coding subspaces are 50% larger
than those of the optimal stabilizer codes of the same parameters via the
linear programming bound. All these nonadditive codes can be characterized by a
stabilizer-like structure and thus their encoding circuits can be designed in a
straightforward manner.

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The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
2
The categories of this paper are: math
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th