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Representation of Boolean Quantum Circuits as Reed-Muller Expansions

Ahmed Younes·Julian Miller
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Abstract

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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Ahmed Younes, Julian Miller. 2003-05-22. Representation of Boolean Quantum Circuits as Reed-Muller Expansions. https://arxiv.org/abs/quant-ph/0305134

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