Arbitrarily small amount of measurement independence is sufficient to manifest quantum nonlocality

Gilles Pütz, Denis Rosset, Tomer Jack Barnea, Yeong Cherng Liang, Nicolas Gisin

Research output: Contribution to journalArticle

33 Citations (Scopus)

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.

Original languageEnglish
Article number190402
JournalPhysical review letters
Volume113
Issue number19
DOIs
Publication statusPublished - 2014 Nov 6

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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