TY - JOUR

T1 - Arbitrarily small amount of measurement independence is sufficient to manifest quantum nonlocality

AU - Pütz, Gilles

AU - Rosset, Denis

AU - Barnea, Tomer Jack

AU - Liang, Yeong Cherng

AU - Gisin, Nicolas

N1 - Publisher Copyright:
© 2014 American Physical Society.

PY - 2014/11/6

Y1 - 2014/11/6

N2 - 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.

AB - 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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U2 - 10.1103/PhysRevLett.113.190402

DO - 10.1103/PhysRevLett.113.190402

M3 - Article

AN - SCOPUS:84910071093

SN - 0031-9007

VL - 113

JO - Physical review letters

JF - Physical review letters

IS - 19

M1 - 190402

ER -