All tight multipartite Bell correlation inequalities for an arbitrary number of dichotomic observables per observer

Details All tight multipartite Bell correlation inequalities for an arbitrary number of dichotomic observables per observer All tight multipartite Bell correlation inequalities for an arbitrary number of dichotomic observables per observer

2007-04-13

arxiv.org/abs/0704.1809v2

Physics

Quantum Physics

there is a mistake in the proof, and even worse... one can find a counterexample

Scientific paper

Derivation of the full set of Bell inequalities involving correlation functions, for two parties, with binary observables, and N possible local settings is not as easy as it seemed. The proof of v1 is wrong. Additionaly one can find a counterexample, which will be presented soon. Thus our thesis is dead. Still the series of Bell inequalities discussed in the manuscript (v1) form a necessary condition for local realism, and are tight. They are tight and complete (sufficient) only for N=3 settings per observer (as shown in quant-ph/0611086, fortunately using an entirely different approach).

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