All tight multipartite Bell correlation inequalities for an arbitrary number of dichotomic observables per observer
Quantum Physics
2007-06-13 v2
Abstract
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).
Keywords
Cite
@article{arxiv.0704.1809,
title = {All tight multipartite Bell correlation inequalities for an arbitrary number of dichotomic observables per observer},
author = {Piotr Badziag and Marek Zukowski},
journal= {arXiv preprint arXiv:0704.1809},
year = {2007}
}
Comments
there is a mistake in the proof, and even worse... one can find a counterexample