Optimal Universal Uncertainty Relations.

Abstract:

:We study universal uncertainty relations and present a method called joint probability distribution diagram to improve the majorization bounds constructed independently in [Phys. Rev. Lett. 111, 230401 (2013)] and [J. Phys. A. 46, 272002 (2013)]. The results give rise to state independent uncertainty relations satisfied by any nonnegative Schur-concave functions. On the other hand, a remarkable recent result of entropic uncertainty relation is the direct-sum majorization relation. In this paper, we illustrate our bounds by showing how they provide a complement to that in [Phys. Rev. A. 89, 052115 (2014)].

journal_name

Sci Rep

journal_title

Scientific reports

authors

Li T,Xiao Y,Ma T,Fei SM,Jing N,Li-Jost X,Wang ZX

doi

10.1038/srep35735

subject

Has Abstract

pub_date

2016-10-24 00:00:00

pages

35735

issn

2045-2322

pii

srep35735

journal_volume

6

pub_type

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