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

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 binar...

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Bibliographic Details
Published in:Physical review letters 2014-11, Vol.113 (19), p.190402-190402, Article 190402
Main Authors: Pütz, Gilles, Rosset, Denis, Barnea, Tomer Jack, Liang, Yeong-Cherng, Gisin, Nicolas
Format: Article
Language:English
Subjects:
Bells
Correlation analysis
Mathematical analysis
Polytopes
Theorems
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.113.190402