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arXiv · 1704.07034

Categorifying the ZX-calculus

Daniel Cicala
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Abstract

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 with the natural numbers for 0-cells, the zx-calculus diagrams for 1-cells, and rewrite rules for 2-cells.

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BibTeXRIS

Daniel Cicala. 2017-04-24. Categorifying the ZX-calculus. https://doi.org/10.4204/eptcs.266.19

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