Categorical quantum models and logics

by Heunen, Chris

Type Book

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Title Statements

Full title :Categorical quantum models and logics / Chris Heunen.

Summary

Annotation 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- This title can be previewed in Google Books - http://books.google.com/books?vid=ISBN9789085550242.

Edition Statements

Publication Date:2009.

Publication Statements

Publisher(s):Pallas Publications
Place of Publication:Amsterdam
Language:eng
Publication Date:2009.

The Physical Object

Description:1 online resource (214 pages)

Edition Identifiers

ISBN:9789048511341, 9048511348, 9789085550242, 9085550246
oclc:ocn654374383
LC Classification:QC174.12
Dewey Decimal:510

Subjects

Academic theses MATHEMATICS -- Reference MATHEMATICS / Essays MATHEMATICS / Pre-Calculus Quantum theory Théorie quantique Thèses et écrits académiques