Quantitative relations between measurement incompatibility, quantum steering and nonlocality

Daniel Cavalcanti, Paul Skrzypczyk

Research output: Contribution to journalArticle (Academic Journal)peer-review

68 Citations (Scopus)
297 Downloads (Pure)


The certification of Bell nonlocality or quantum steering implies the use of incompatible measurements. Here we make these 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, it can be used to estimate how much steering or nonlocality can be demonstrated with a given set of measurements. On the other hand it gives one-sided device-independent and device independent ways of estimating measurement incompatibility.
Original languageEnglish
Article number052112
Number of pages12
JournalPhysical Review A
Issue number5
Early online date17 May 2016
Publication statusPublished - May 2016


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