Role of measurement incompatibility and uncertainty in determining nonlocality

Article Type

Research Article

Publication Title

Mathematics

Abstract

It has been recently shown that measurement incompatibility and fine grained uncertainty-a particular form of preparation uncertainty relation-are deeply related to the nonlocal feature of quantum mechanics. In particular, the degree of measurement incompatibility in a no-signaling theory determines the bound on the violation of Bell-CHSH inequality, and a similar role is also played by (fine-grained) uncertainty along with steering, a subtle non-local phenomenon. We review these connections, along with comments on the difference in the roles played by measurement incompatibility and uncertainty. We also discuss why the toy model of Spekkens (Phys. Rev. A 75, 032110 (2007)) shows no nonlocal feature even though steering is present in this theory.

DOI

10.3390/math4030052

Publication Date

9-1-2016

Comments

Open Access; Gold Open Access; Green Open Access

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