On the relation between Bell inequalities and nonlocal games
J. Silman, S. Machnes, and N. Aharon
TL;DR
This paper explores the connection between Bell inequalities and nonlocal games, introducing a systematic method for converting between them and demonstrating quantum advantages in certain nonlocal games.
Contribution
It provides a systematic conversion method between Bell inequalities and nonlocal games, highlighting that not all nonlocal games correspond to Bell inequalities and showcasing quantum advantages.
Findings
A systematic bilateral conversion method between Bell inequalities and nonlocal games
Not all nonlocal games have corresponding Bell inequalities
Quantum resources improve outcomes in some nonlocal games
Abstract
We investigate the relation between Bell inequalities and nonlocal games by presenting a systematic method for their bilateral conversion. In particular, we show that while to any nonlocal game there naturally corresponds a unique Bell inequality, the converse is not true. As an illustration of the method we present a number of nonlocal games that admit better odds when played using quantum resources
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