Improving Einstein-Podolsky-Rosen steering inequalities with state information

James Schneeloch*, Curtis J. Broadbent, John C. Howell

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


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 languageAmerican English
Pages (from-to)766-769
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number10
StatePublished - 14 Feb 2014
Externally publishedYes

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 .


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

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