Extended Information Causality yields a family of stronger quantum Bell inequalities with an improved analytical bound on the Collins-Gisin family, plus new theory-independent bounds on entanglement-assisted random access codes, though the extension does not tighten the latter beyond the original pr
van Dam, Implausible consequences of superstrong nonlocality (2005), arXiv:quant-ph/0501159
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abstract
This Letter looks at the consequences of so-called 'superstrong nonlocal correlations', which are hypothetical violations of Bell/CHSH inequalities that are stronger than quantum mechanics allows, yet weak enough to prohibit faster-than-light communication. It is shown that the existence of maximally superstrong correlated bits implies that all distributed computations can be performed with a trivial amount of communication, i.e. with one bit. If one believes that Nature does not allow such a computational 'free lunch', then the result in the Letter gives a reason why superstrong correlation are indeed not possible.
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