Morphisms in categories of nonlocal games

TitleMorphisms in categories of nonlocal games
Publication TypeJournal Article
Year of Publication2018
AuthorsLackey, B, Rodrigues, N

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.