Sum uncertainty relations for arbitrary N incompatible observables.

Abstract:

:We formulate uncertainty relations for arbitrary N observables. Two uncertainty inequalities are presented in terms of the sum of variances and standard deviations, respectively. The lower bounds of the corresponding sum uncertainty relations are explicitly derived. These bounds are shown to be tighter than the ones such as derived from the uncertainty inequality for two observables [Phys. Rev. Lett. 113, 260401 (2014)]. Detailed examples are presented to compare among our results with some existing ones.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Chen B,Fei SM

doi

10.1038/srep14238

subject

Has Abstract

pub_date

2015-09-15 00:00:00

pages

14238

issn

2045-2322

pii

srep14238

journal_volume

5

pub_type

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