Morphisms in categories of nonlocal games
Quantum Physics
2018-10-25 v1
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.
Keywords
Cite
@article{arxiv.1810.10074,
title = {Morphisms in categories of nonlocal games},
author = {Brad Lackey and Nishant Rodrigues},
journal= {arXiv preprint arXiv:1810.10074},
year = {2018}
}
Comments
26 pages, including an appendix on Boole's inequalities