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An unsharp logic from quantum computation

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Type
Preprint
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arXiv ID: quant-ph/0201013
Source
arXiv
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Abstract

Logical gates studied in quantum computation suggest a natural logical abstraction that gives rise to a new form of unsharp quantum logic. We study the logical connectives corresponding to the following gates: the Toffoli gate, the NOT and the squareroot of NOT (which admit of natural physical models). This leads to a semantic characterization of a logic that we call computational quantum logic CQL.

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