Categorifying the ZX-calculus

We build a symmetric monoidal and compact closed bicategory by combining spans and cospans inside a topos. This can be used as a framework in which to study open networks and diagrammatic languages. We illustrate this framework with Coecke and Duncan's zx-calculus by constructing a bicategory w...

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Bibliographic Details
Main Author: Daniel Cicala
Format: Article
Language:English
Published: Open Publishing Association 2018-02-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1704.07034v2

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