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Quantification of Einstein-Podolsky-Rosen steering for two-qubit states

A. C. S. Costa and R. M. Angelo
Phys. Rev. A 93, 020103(R) – Published 19 February 2016

Abstract

In the last few years, several criteria to identify Einstein-Podolsky-Rosen steering have been proposed and experimentally implemented. On the operational side, however, the evaluation of the steerability degree of a given state has shown to be a difficult task and only a few results are known. In this work, we propose a measure of steering that is based on the maximal violation of well-established steering inequalities. Applying this approach to two-qubit states, we managed to derive simple closed formulas for steering in the two- and three-measurement scenarios. We also provide closed formulas for quantifiers of Bell nonlocality in the respective scenarios. Finally, we show that our measures of steering verify the entanglement-steering-nonlocality hierarchy and reproduce results reported so far.

  • Received 27 October 2015
  • Corrected 8 August 2019

DOI:https://doi.org/10.1103/PhysRevA.93.020103

©2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
General Physics

Corrections

8 August 2019

Erratum

Authors & Affiliations

A. C. S. Costa and R. M. Angelo

  • Department of Physics, Federal University of Paraná, P.O. Box 19044, 81531-980 Curitiba, PR, Brazil

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Issue

Vol. 93, Iss. 2 — February 2016

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