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Entanglement Theory Quantum Correlations Quantum Foundations

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

arXiv

Authors: Piotr Badziag, Marek Zukowski

Year

2007

Paper ID

50581

Status

Preprint

Abstract Read

~2 min

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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).

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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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0704.1809 [2] arXiv https://arxiv.org/abs/0704.1809 [3] Publisher https://arxiv.org/abs/0704.1809

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