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arXiv · 1102.1530

Characterization of quantum states in predicative logic

Giulia Battilotti
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Abstract

We develop a characterization of quantum states by means of first order variables and random variables, within a predicative logic with equality, in the framework of basic logic and its definitory equations. We introduce the notion of random first order domain and find a characterization of pure states in predicative logic and mixed states in propositional logic, due to a focusing condition. We discuss the role of first order variables and the related contextuality, in terms of sequents.

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Giulia Battilotti. 2011-02-08. Characterization of quantum states in predicative logic. https://doi.org/10.1007/s10773-011-0899-3

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