Categorical Quantum Models and Logics

Categorical Quantum Models and Logics C. Heunen

Reeks: Pallas proefschriften

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-mechanical state space.

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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Specificaties

ISBN
9789085550242
Uitgever
Amsterdam University Press
Druk
1e
Datum
07-01-2010
Taal
Engels
Bladzijden
214 pp.
Bindwijze
Paperback
Genre
Wetenschap

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