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arXiv:1901.06382 [quant-ph]AbstractReferencesReviewsResources

Quantifying the relative incompatibility of quantum observables

Georgios Styliaris, Paolo Zanardi

Published 2019-01-18Version 1

Motivated by quantum resource theories, we introduce a preorder over orthonormal bases in a $d$-dimensional Hilbert space which intuitively corresponds to the degree of incompatibility between observables that are diagonal in those bases. The preorder is directly related to multivariate majorization and gives rise to families of monotones, i.e., scalar quantifiers that preserve the ordering. We relate the preorder with measures of quantum coherence, the strength of quantum fluctuations and entropic uncertainty relations.

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