## Abstract

We discuss the relationship between entropic Einstein-Podolsky-Rosen (EPR)-steering inequalities and their underlying uncertainty relations along with the hypothesis that improved uncertainty relations lead to tighter EPR-steering inequalities. In particular, we discuss how using information about the state of a quantum system affects one's ability to witness EPR-steering. As an example, we consider the recent improvement to the entropic uncertainty relation between pairs of discrete observables (Berta et al., 2010 [10]). By considering the assumptions that enter into the development of a steering inequality, we derive correct steering inequalities from these improved uncertainty relations and find that they are identical to ones already developed (Schneeloch et al., 2013 [9]). In addition, we consider how one can use state information to improve our ability to witness EPR-steering, and develop a new continuous variable symmetric EPR-steering inequality as a result.

Original language | American English |
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Pages (from-to) | 766-769 |

Number of pages | 4 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 378 |

Issue number | 10 |

DOIs | |

State | Published - 14 Feb 2014 |

Externally published | Yes |

### Bibliographical note

Funding Information:We gratefully acknowledge support from DARPA DSO under grant numbers W911NR-10-1-0404 and W31P4Q-12-1-0015 . C.J.B. acknowledges support from ARO W911NF-09-1-0385 and NSF PHY-1203931 .

## Keywords

- EPR-paradox
- EPR-steering
- Entanglement
- Entropy
- Uncertainty relations