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arXiv · 1705.07652

Purity through Factorisation

Oscar Cunningham·Chris Heunen
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Abstract

We give a construction that identifies the collection of pure processes (i.e. those which are deterministic, or without randomness) within a theory containing both pure and mixed processes. Working in the framework of symmetric monoidal categories, we define a pure subcategory. This definition arises elegantly from the categorical notion of a weak factorisation system. Our construction gives the expected result in several examples, both quantum and classical.

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Oscar Cunningham, Chris Heunen. 2017-05-22. Purity through Factorisation. https://doi.org/10.4204/eptcs.266.20

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