Strong Constraints on Models that Explain the Violation of Bell Inequalities with Hidden Superluminal Influences
We discuss models that attempt to provide an explanation for the violation of Bell inequalities at a distance in terms of hidden influences. These models reproduce the quantum correlations in most situations, but are restricted to produce local correlations in some configurations. The argument presented in (Bancal et al. Nat Phys 8:867, 2012) applies to all of these models, which can thus be proved to allow for faster-than-light communication. In other words, the signalling character of these models cannot remain hidden.
KeywordsNonlocality Bell inequalities Faster-than-light influences Nonlocal hidden variables
We are grateful to Yeong-Cherng Liang and Stefano Pironio for helpful comments and stimulating discussions. This work is supported by the Ministry of Education, the National Research Foundation of Singapore and the Swiss NCCR-QSIT. A.S. acknowledges support from the Social Trends Institute (Barcelona and New York).
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