Square Root of "Not": A Major Difference Between Fuzzy and Quantum Logics

Authors

Vladik Kreinovich, The University of Texas at El PasoFollow
Ladislav J. Kohout
Eunjin Kim

Publication Date

7-2009

Comments

Technical Report: UTEP-CS-08-10c

Short version published in Proceedings of the 27th International Conference of the North American Fuzzy Information Processing Society NAFIPS'2008, New York, New York, May 19-22, 2008; full paper to appear in International Journal of General Systems

Abstract

Many authors have mentioned 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 emphasize 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.