Categorical Quantum Models and Logics

Author:   Chris Heunen
Publisher:   Pallas Publications
ISBN:  

9789085550242


Pages:   214
Publication Date:   23 November 2009
Format:   Paperback
Availability:   Out of stock   Availability explained
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Categorical Quantum Models and Logics


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Overview

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-

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Author:   Chris Heunen
Publisher:   Pallas Publications
Imprint:   Pallas Publications
Weight:   0.373kg
ISBN:  

9789085550242


ISBN 10:   9085550246
Pages:   214
Publication Date:   23 November 2009
Audience:   Professional and scholarly ,  Adult education ,  Professional & Vocational ,  Further / Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Chris Heunen (1982) studied mathematics and computer science at the Radboud University Nijmegen. In 2005 he started his graduate studies at the same university, supervised by prof. Bart Jacobs and prof. Klaas Landsman.

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