Necessary and sufficient quantum information characterization of Einstein-Podolsky-Rosen steering

Piani, Marco and Watrous, John (2015) Necessary and sufficient quantum information characterization of Einstein-Podolsky-Rosen steering. Physical Review Letters, 114 (6). 060404. ISSN 1079-7114 (https://doi.org/10.1103/PhysRevLett.114.060404)

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Abstract

Steering is the entanglement-based quantum effect that embodies the "spooky action at a distance" disliked by Einstein and scrutinized by Einstein, Podolsky, and Rosen. Here we provide a necessary and sufficient characterization of steering, based on a quantum information processing task: the discrimination of branches in a quantum evolution, which we dub subchannel discrimination. We prove that, for any bipartite steerable state, there are instances of the quantum subchannel discrimination problem for which this state allows a correct discrimination with strictly higher probability than in absence of entanglement, even when measurements are restricted to local measurements aided by one-way communication. On the other hand, unsteerable states are useless in such conditions, even when entangled. We also prove that the above steering advantage can be exactly quantified in terms of the steering robustness, which is a natural measure of the steerability exhibited by the state.

ORCID iDs

Piani, Marco ORCID: https://orcid.org/0000-0002-4698-9497

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• Item metadata

  Item type:	Article
  ID code:	50771
  Dates:	Date Event 13 February 2015 Published 12 February 2015 Published Online 2 December 2014 Accepted
  Notes:	©2015 American Physical Society
  Subjects:	Science > Physics
  Department:	Faculty of Science > Physics
  Depositing user:	Pure Administrator
  Date deposited:	11 Dec 2014 14:49
  Last modified:	18 Dec 2024 01:17
  URI:	https://strathprints.strath.ac.uk/id/eprint/50771