Quantatitive relations between measurement incompatibility, quantum steering, and nonlocality
Quantum Physics
2016-06-07 v2
Abstract
The certification of Bell nonlocality or quantum steering implies the use of incompatible measurements. Here we make this connection quantitative. We show how to strengthen robustness-based steering and nonlocality quantifiers in order that they give strong lower bounds to previously proposed incompatibility quantifiers. Our results can be seen from two perspectives. On the one hand, they can be used to estimate how much steering or nonlocality can be demonstrated with a given set of measurements. On the other hand, they gives one-sided device-independent and device-independent ways of estimating measurement incompatibility.
Cite
@article{arxiv.1601.07450,
title = {Quantatitive relations between measurement incompatibility, quantum steering, and nonlocality},
author = {Daniel Cavalcanti and Paul Skrzypczyk},
journal= {arXiv preprint arXiv:1601.07450},
year = {2016}
}
Comments
v2: new title, abstract, results. Substantially re-written. 13 pages, 3 figures