Chris Heunen

(Author)

Categorical Quantum Models and LogicsPaperback, 23 November 2009

Categorical Quantum Models and Logics
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Part of Series
Pallas Proefschriften
Print Length
214 pages
Language
English
Publisher
Pallas Publications
Date Published
23 Nov 2009
ISBN-10
9085550246
ISBN-13
9789085550242

Description

This dissertation studies the logic behind quantum physics, using category theory as the principal tool and conceptual guide. To do so, principles of quantum mechanics are modeled categorically. These categorical quantum models are justified by an embedding into the category of Hilbert spaces, the traditional formalism of quantum physics. In particular, complex numbers emerge without having been prescribed explicitly. Interpreting logic in such categories results in orthomodular property lattices, and furthermore provides a natural setting to consider quantifiers. Finally, topos theory, incorporating categorical logic in a refined way, lets one study a quantum system as if it were classical, in particular leading to a novel mathematical notion of quantum-

Product Details

Author:
Chris Heunen
Book Format:
Paperback
Country of Origin:
US
Date Published:
23 November 2009
ISBN-10:
9085550246
ISBN-13:
9789085550242
Language:
English
Location:
Amsterdam
Pages:
214

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