Einstein-Podolsky-Rosen steering inequalities from entropic uncertainty relations

James Schneeloch*, Curtis J. Broadbent, Stephen P. Walborn, Eric G. Cavalcanti, John C. Howell

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

235 Scopus citations

Abstract

We use entropic uncertainty relations to formulate inequalities that witness Einstein-Podolsky-Rosen (EPR)-steering correlations in diverse quantum systems. We then use these inequalities to formulate symmetric EPR-steering inequalities using the mutual information. We explore the differing natures of the correlations captured by one-way and symmetric steering inequalities and examine the possibility of exclusive one-way steerability in two-qubit states. Furthermore, we show that steering inequalities can be extended to generalized positive operator-valued measures, and we also derive hybrid steering inequalities between alternate degrees of freedom.

Original languageAmerican English
Article number062103
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume87
Issue number6
DOIs
StatePublished - 6 Jun 2013
Externally publishedYes

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