01239nas a2200121 4500008004100000245006800041210006600109260001500175520085000190100001701040700002301057856003701080 2017 eng d00aNonlocal games, synchronous correlations, and Bell inequalities0 aNonlocal games synchronous correlations and Bell inequalities c2017/09/213 a
A nonlocal game with a synchronous correlation is a natural generalization of a function between two finite sets, and has recently appeared in the context of quantum graph homomorphisms. In this work we examine analogues of Bell's inequalities for synchronous correlations. We show that, unlike general correlations and the CHSH inequality, there can be no quantum Bell violation among synchronous correlations with two measurement settings. However we exhibit explicit analogues of Bell's inequalities for synchronous correlations with three measurement settings and two outputs, provide an analogue of Tsirl'son's bound in this setting, and give explicit quantum correlations that saturate this bound.
1 aLackey, Brad1 aRodrigues, Nishant uhttps://arxiv.org/abs/1707.06200