Negativity and steering: a stronger Peres conjecture

Matthew F. Pusey

doi:10.1103/PhysRevA.88.032313

Negativity and steering: a stronger Peres conjecture

Matthew F. Pusey

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The violation of a Bell inequality certifies the presence of entanglement even if neither party trusts their measurement devices. Recently Moroder et al. [T. Moroder, J.-D. Bancal, Y.-C. Liang, M. Hofmann, and O. Gühne, Phys. Rev. Lett. 111, 030501 (2013)] showed how to make this statement quantitative, using semidefinite programming to calculate how much entanglement is certified by a given violation. Here I adapt their techniques to the case in which Bob's measurement devices are in fact trusted, the setting for Einstein-Podolsky-Rosen steering inequalities. Interestingly, all of the steering inequalities studied turn out to require negativity for their violations. This supports a significant strengthening of Peres's conjecture that negativity is required to violate a bipartite Bell inequality.

Original language	English
Article number	032313
Journal	Physical Review A
Volume	88
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.88.032313
Publication status	Published - 13 Sept 2013

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10.1103/PhysRevA.88.032313

PhysRevA.88.032313
© 2013 American Physical Society
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