Quantitative relations between measurement incompatibility, quantum steering, and nonlocality

D. Cavalcanti and P. Skrzypczyk
Phys. Rev. A 93, 052112 – Published 17 May 2016

Abstract

The certification of Bell nonlocality or quantum steering implies the use of incompatible measurements. Here we make this connection quantitative. We show how to strengthen robustness-based steering and nonlocality quantifiers in order that they give strong lower bounds to previously proposed incompatibility quantifiers. Our results can be seen from two perspectives. On the one hand, they can be used to estimate how much steering or nonlocality can be demonstrated with a given set of measurements. On the other hand, they give one-sided device-independent and device-independent ways of estimating measurement incompatibility.

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  • Received 3 February 2016

DOI:https://doi.org/10.1103/PhysRevA.93.052112

©2016 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

D. Cavalcanti1,* and P. Skrzypczyk2

  • 1ICFO-Institut de Ciencies Fotoniques, Mediterranean Technology Park, 08860 Castelldefels, Barcelona, Spain
  • 2H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, United Kingdom

  • *daniel.cavalcanti@icfo.es

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Vol. 93, Iss. 5 — May 2016

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