Annual Meeting of the North American Fuzzy Information Processing Society (NAFIPS)

Square root of “not”: A major difference between fuzzy and quantum logics

Владик Крейнович, Ladislav Kohout, Eunjin Kim

Published May 1, 2008• 4 citations

Abstract

Many authors have emphasized the similarity between quantum logic and fuzzy logic. In this paper, we show that, in spite of this similarity, these logics are not identical. Specifically, we show that while quantum logic has a special "square root of not" operation which is very useful in quantum computing, fuzzy logic lacks such an operation.

DOI: 10.1109/nafips.2008.4531327

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