Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some Results on Reversible Gate Classes Over Non-Binary Alphabets   We present a collection of results concerning the structure of reversible
gate classes over non-binary alphabets, including (1) a reversible gate class
over non-binary alphabets that is not finitely generated (2) an explicit set of
generators for the class of all gates, the class of all conservative gates, and
a class of generalizations of the two (3) an embedding of the poset of
reversible gate classes over an alphabet of size $k$ into that of an alphabet
of size $k+1$ (4) a classification of gate classes containing the class of
$(k-1,1)$-conservative gates, meaning gates that preserve the number of
occurrences of a certain element in the alphabet.

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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess