Einstein-Podolsky-Rosen steering inequalities from entropic uncertainty relations
James Schneeloch, Curtis J. Broadbent, Stephen Patrick Walborn, Eric G. Cavalcanti, John C. Howell · Physical Review A · 2013
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.