Arbitrarily Small Amount of Measurement Independence Is Sufficient to Manifest Quantum Nonlocality

Gilles Pütz, Denis Rosset, Tomer Jack Barnea, Yeong-Cherng Liang, and Nicolas Gisin
Phys. Rev. Lett. 113, 190402 – Published 6 November 2014
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Abstract

The use of Bell’s theorem in any application or experiment relies on the assumption of free choice or, more precisely, measurement independence, meaning that the measurements can be chosen freely. Here, we prove that even in the simplest Bell test—one involving 2 parties each performing 2 binary-outcome measurements—an arbitrarily small amount of measurement independence is sufficient to manifest quantum nonlocality. To this end, we introduce the notion of measurement dependent locality and show that the corresponding correlations form a convex polytope. These correlations can thus be characterized efficiently, e.g., using a finite set of Bell-like inequalities—an observation that enables the systematic study of quantum nonlocality and related applications under limited measurement independence.

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  • Received 25 July 2014

DOI:https://doi.org/10.1103/PhysRevLett.113.190402

© 2014 American Physical Society

Authors & Affiliations

Gilles Pütz1,*, Denis Rosset1, Tomer Jack Barnea1, Yeong-Cherng Liang2, and Nicolas Gisin1

  • 1Group of Applied Physics, University of Geneva, CH-1211 Geneva 4, Switzerland
  • 2Institute for Theoretical Physics, ETH Zurich, 8093 Zurich, Switzerland

  • *Corresponding author. puetzg@unige.ch

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Issue

Vol. 113, Iss. 19 — 7 November 2014

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