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Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality

Published inPhysical review letters, vol. 113, no. 16, 160402
Publication date2014
Abstract

We investigate the relation between the incompatibility of quantum measurements and quantum nonlocality. We show that a set of measurements is not jointly measurable (i.e., incompatible) if and only if it can be used for demonstrating Einstein-Podolsky-Rosen steering, a form of quantum nonlocality. Moreover, we discuss the connection between Bell nonlocality and joint measurability, and give evidence that both notions are inequivalent. Specifically, we exhibit a set of incompatible quantum measurements and show that it does not violate a large class of Bell inequalities. This suggests the existence of incompatible quantum measurements which are Bell local, similarly to certain entangled states which admit a local hidden variable model.

Citation (ISO format)
QUINTINO, Marco Tulio, VÉRTESI, Tamás, BRUNNER, Nicolas. Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality. In: Physical review letters, 2014, vol. 113, n° 16, p. 160402. doi: 10.1103/PhysRevLett.113.160402
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ISSN of the journal0031-9007
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