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Morphisms in categories of nonlocal games

Published 23 Oct 2018 in quant-ph | (1810.10074v1)

Abstract: Synchronous correlations provide a class of nonlocal games that behave like functions between finite sets. In this work we examine categories whose morphisms are games with synchronous classical, quantum, or general nonsignaling correlations. In particular, we characterize when morphisms in these categories are monic, epic, sections, or retractions.

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