Chained Clauser-Horne-Shimony-Holt inequality for Hardy's ladder test of\n nonlocality

2015/08/25 by José L. Cereceda, Cereceda, José L.
Physics and Astronomy · Computer Science · Mathematics · #Quantum Mechanics and Applications #Quantum Information and Cryptography #Benford’s Law and Fraud Detection

paper · pdf · doi:10.48550/arxiv.1508.06317

Abstract

Relativistic causality forbids superluminal signaling between distant\nobservers. By exploiting the non-signaling principle, we derive the exact\nrelationship between the chained Clauser-Horne-Shimony-Holt sum of correlations\nCHSH_K and the success probability P_K associated with Hardy's ladder test of\nnonlocality for two qubits and K+1 observables per qubit. Then, by invoking the\nTsirelson bound for CHSH_K, the derived relationship allows us to establish an\nupper limit on P_K. In addition, we draw the connection between CHSH_K and the\nchained version of the Clauser-Horne (CH) inequality.\n

Citations

• Quantum nonlocality as an axiom
• Wringing out better Bell inequalities

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