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 (POVMs), and we also derive hybrid-steering inequalities between alternate degrees of freedom.
@article{arxiv.1303.7432,
title = {EPR Steering Inequalities from Entropic Uncertainty Relations},
author = {James Schneeloch and Curtis J. Broadbent and Stephen P. Walborn and Eric G. Cavalcanti and John C. Howell},
journal= {arXiv preprint arXiv:1303.7432},
year = {2013}
}