### Bell's inequalities for states with positive partial transpose

**Reinhard F. Werner, Michael M. Wolf**

Phys. Rev. A 61, 062102 **, (2000)

**DOI**: 10.1103/PhysRevA.61.062102

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*arXiv.org*: quant-ph/9910063

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**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 2^((n-p)/2). 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 existence of local classical models.