Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representation of Boolean Quantum Circuits as Reed-Muller Expansions   In this paper we show that there is a direct correspondence between quantum
Boolean operations and certain forms of classical (non-quantum) logic known as
Reed-Muller expansions. This allows us to readily convert Boolean circuits into
their quantum equivalents. A direct result of this is that the problem of
synthesis and optimization of quantum Boolean logic can be tackled within the
field of Reed-Muller logic.

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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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: atom-ph
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The categories of this paper are: cond-mat
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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: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys