Scientific article
Open access

Incompatible quantum measurements admitting a local hidden variable model

Publication date2016

The observation of quantum nonlocality, i.e. quantum correlations violating a Bell inequality, implies the use of incompatible local quantum measurements. Here we consider the converse question. That is, can any set of incompatible measurements be used in order to demonstrate Bell inequality violation? Our main result is to construct a local hidden variable model for an incompatible set of qubit measurements. Specifically, we show that if Alice uses this set of measurements, then for any possible shared entangled state, and any possible dichotomic measurements performed by Bob, the resulting statistics are local. This represents significant progress towards proving that measurement incompatibility does not imply Bell nonlocality in general.

  • arxiv : quant-ph
NoteA few small changes, closer to the published version
Citation (ISO format)
QUINTINO, Marco Tulio et al. Incompatible quantum measurements admitting a local hidden variable model. In: Physical review, A, Atomic, molecular, and optical physics, 2016, vol. 93, n° 052115. doi: 10.1103/PhysRevA.93.052115
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Article (Accepted version)
ISSN of the journal1050-2947

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Creation06/10/2016 12:03:00 PM
First validation06/10/2016 12:03:00 PM
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