Representation of Boolean Quantum Circuits as Reed-Muller Expansions

Details Representation of Boolean Quantum Circuits as Reed-Muller Expansions Representation of Boolean Quantum Circuits as Reed-Muller Expansions

2003-05-22

arxiv.org/abs/quant-ph/0305134v1

International Journal of Electronics. Vol.(No.7)pp. 431-444 (2004)

Physics

Quantum Physics

12 pages

Scientific paper

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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