Square root of ‘not’: a major difference between fuzzy and quantum logics

Владик Крейнович, Ladislav Kohout, Eun‐jin Kim · International Journal of General Systems · 2010

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.

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