Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint
53/2015

Sum uncertainty relations for arbitrary $N$ incompatible observables

Bin Chen and Shao-Ming Fei

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.

Received:
Aug 25, 2015
Published:
Aug 25, 2015

Related publications

inJournal
2015 Journal Open Access
Bin Chen and Shao-Ming Fei

Sum uncertainty relations for arbitrary \(N\) incompatible observables

In: Scientific reports, 5 (2015), p. 14238