Bell’s inequalities for states with positive partial transpose

R. F. Werner, M. M. Wolf

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11 Scopus citations

Abstract

We study violations of n-particle Bell inequalities (as developed by Mermin and Klyshko) under the assumption that suitable partial transposes of the density operator are positive. If all transposes with respect to a partition of the system into p subsystems are positive, the best upper bound on the violation is [Formula Presented] In particular, if the partial transposes with respect to all subsystems are positive, the inequalities are satisfied. This is supporting evidence for a recent conjecture by Peres that positivity of partial transposes could be equivalent to the existence of local classical models.

Original languageEnglish
Pages (from-to)4
Number of pages1
JournalPhysical Review A
Volume61
Issue number6
DOIs
StatePublished - 2000
Externally publishedYes

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