Testing a Bell inequality in multi-pair scenarios
Jean-Daniel Bancal, Cyril Branciard, Nicolas Brunner, Nicolas Gisin,, Sandu Popescu, Christoph Simon

TL;DR
This paper demonstrates how to violate the CHSH inequality in multi-pair quantum systems without addressing individual particles, providing insights into the relationship between entanglement and nonlocality.
Contribution
It introduces a method to test Bell inequalities in multi-pair scenarios without individual particle access, analyzing noise, losses, and particle distinguishability.
Findings
Violation of CHSH inequality in multi-pair systems demonstrated
Analysis of noise and loss effects on nonlocality tests
Comparison between distinguishable and indistinguishable particles
Abstract
To date, most efforts to demonstrate quantum nonlocality have concentrated on systems of two (or very few) particles. It is however difficult in many experiments to address individual particles, making it hard to highlight the presence of nonlocality. We show how a natural setup with no access to individual particles allows one to violate the CHSH inequality with many pairs, including in our analysis effects of noise and losses. We discuss the case of distinguishable and indistinguishable particles. Finally, a comparison of these two situations provides new insight into the complex relation between entanglement and nonlocality.
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