Bell's inequalities for states with positive partial transpose

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Original languageEnglish
Pages (from-to)062102, 4
JournalPhys. Rev. A
Volume61
Issue number6
Publication statusPublished - 2000

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 the existence of local classical models.

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Bell's inequalities for states with positive partial transpose. / Werner, R. F.; Wolf, M. M.
In: Phys. Rev. A, Vol. 61, No. 6, 2000, p. 062102, 4.

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Werner RF, Wolf MM. Bell's inequalities for states with positive partial transpose. Phys. Rev. A. 2000;61(6):062102, 4. doi: 10.1103/PhysRevA.61.062102
Werner, R. F. ; Wolf, M. M. / Bell's inequalities for states with positive partial transpose. In: Phys. Rev. A. 2000 ; Vol. 61, No. 6. pp. 062102, 4.
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