Quantum measurement incompatibility does not imply Bell nonlocality

Flavien Hirsch, Marco Túlio Quintino, and Nicolas Brunner
Phys. Rev. A 97, 012129 – Published 25 January 2018

Abstract

We discuss the connection between the incompatibility of quantum measurements, as captured by the notion of joint measurability, and the violation of Bell inequalities. Specifically, we explicitly present a given set of non-jointly-measurable positive-operator-value measures (POVMs) MA with the following property. Considering a bipartite Bell test where Alice uses MA, then for any possible shared entangled state ρ and any set of (possibly infinitely many) POVMs NB performed by Bob, the resulting statistics admits a local model and can thus never violate any Bell inequality. This shows that quantum measurement incompatibility does not imply Bell nonlocality in general.

  • Figure
  • Received 2 August 2017

DOI:https://doi.org/10.1103/PhysRevA.97.012129

©2018 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Quantum Information, Science & Technology

Authors & Affiliations

Flavien Hirsch1, Marco Túlio Quintino2, and Nicolas Brunner1

  • 1Département de Physique Appliquée, Université de Genève, 1211 Genève, Switzerland
  • 2Department of Physics, Graduate School of Science, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan

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Vol. 97, Iss. 1 — January 2018

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