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A complete set of transformation rules for quantum Boolean circuits with CNOT gates

✍ Scribed by Kazuo Iwama; Shigeru Yamashita

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 325 KB
Volume: 31
Category: Article
ISSN: 0749-6036
DOI: 10.1006/spmi.2002.1039

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✦ Synopsis

This paper gives a simple but nontrivial set of local transformation rules for CNOT-based quantum circuits. It is shown that this rule set is complete, namely for any two equivalent circuits, S 1 and S 2 , there is a sequence of transformations, each of them in the rule set, which changes S 1 to S 2 . This rule set can be used for incremental circuit optimization methods like the classical circuit design methodology.

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