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Incompatible quantum measurements admitting a local-hidden-variable model

Marco Túlio Quintino, Joseph Bowles, Flavien Hirsch, and Nicolas Brunner
Phys. Rev. A 93, 052115 – Published 23 May 2016

Abstract

The observation of quantum nonlocality, i.e., quantum correlations violating a Bell inequality, implies the use of incompatible local quantum measurements. Here we consider the converse question. That is, can any set of incompatible measurements be used in order to demonstrate Bell inequality violation? Our main result is to construct a local hidden variable model for an incompatible set of qubit measurements. Specifically, we show that if Alice uses this set of measurements, then for any possible shared entangled state and any possible dichotomic measurements performed by Bob, the resulting statistics are local. This represents significant progress towards proving that measurement incompatibility does not imply Bell nonlocality in general.

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  • Received 28 October 2015

DOI:https://doi.org/10.1103/PhysRevA.93.052115

©2016 American Physical Society

Physics Subject Headings (PhySH)

General Physics

Authors & Affiliations

Marco Túlio Quintino, Joseph Bowles, Flavien Hirsch, and Nicolas Brunner

  • Département de Physique Théorique, Université de Genève, 1211 Genève, Switzerland

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Issue

Vol. 93, Iss. 5 — May 2016

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