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Scientific article
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English

Quantum measurement incompatibility does not imply Bell nonlocality

Published inPhysical Review. A, vol. 97, no. 012129
Publication date2018
Abstract

We discuss the connection between the incompatibility of quantum measurements, as captured by the notion of joint measurability, and the violation of Bell inequalities. Specifically, we present explicitly a given a set of non jointly measurable POVMs MA with the following property. Considering a bipartite Bell test where Alice uses MA, then for any possible shared entangled state ρ and any set of (possibly infinitely many) POVMs NB performed by Bob, the resulting statistics admits a local model, and can thus never violate any Bell inequality. This shows that quantum measurement incompatibility does not imply Bell nonlocality in general.

Citation (ISO format)
HIRSCH, Flavien, QUINTINO, Marco Tulio, BRUNNER, Nicolas. Quantum measurement incompatibility does not imply Bell nonlocality. In: Physical Review. A, 2018, vol. 97, n° 012129. doi: 10.1103/PhysRevA.97.012129
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ISSN of the journal1050-2947
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