Einstein-Podolsky-Rosen Steering Inequalities from Entropic Uncertainty Relations

Authors

James Schneeloch, University of Rochester
Curtis J. Broadbent, University of Rochester
Stephen P. Walborn, Universidade Federal do Rio de Janeiro
Eric G. Cavalcanti, University of Sydn
John C. Howell, Chapman UniversityFollow

Document Type

Article

Publication Date

6-6-2013

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.

Comments

This article was originally published in Physical Review A, volume 87, issue 6, in 2013. https://doi.org/10.1103/PhysRevA.87.062103

Recommended Citation

J. Schneeloch, C. J. Broadbent, S. P. Walborn, E. G. Cavalcanti, and J. C. Howell, Einstein-Podolsky-Rosen Steering Inequalities from Entropic Uncertainty Relations, Phys. Rev. A 87(6), 062103. https://doi.org/10.1103/PhysRevA.87.062103

Peer Reviewed

1

Copyright

American Physical Society