Bell's inequalities for states with positive partial transpose
Preprint
- 14 October 1999
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.Keywords
All Related Versions
- Version 1, 1999-10-14, ArXiv
- Published version: Physical Review A, 61 (6), 062102.
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