Infinite-dimensional Categorical Quantum Mechanics

We use non-standard analysis to define a category *Hilb suitable for categorical quantum mechanics in arbitrary separable Hilbert spaces, and we show that standard bounded operators can be suitably embedded in it. We show the existence of unital special commutative dagger-Frobenius algebras, and we...

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Bibliographic Details
Main Authors: Stefano Gogioso, Fabrizio Genovese
Format: Article
Language:English
Published: Open Publishing Association 2017-01-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1605.04305v1