Bell's inequality fundamentally changed our understanding of quantum mechanics. Bell's insight that non-local correlations between quantum systems cannot be explained classically can be verified experimentally, and has numerous applications in modern quantum information. Today, the Clauser-Horne-Shimony-Holt (CHSH) inequality is probably the most well-known Bell inequality and it has given us a wealth of understanding in what differentiates the classical from the quantum world. Yet, there are certainly other means of quantifying ‘Bell non-locality without inequalities’ such as the famous Hardy's paradox. As such, one may wonder whether these are entirely different approaches to non-locality. For this anniversary issue, we unify the perspective of the CHSH inequality and Hardy’s paradox into one family of non-local games which include both as special cases.This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘50 years of Bell’s theorem’.
Journal of Physics A Mathematical General
- Pub Date:
- October 2014
- Quantum Physics
- To appear in J Phys A: Math. Theor. Special Issue in the honor of the 50 year anniversary of Bell's theorem