Logo Max-Planck-Institute for Mathematics in the Sciences, Go to Homepage

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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.

Contact the author per mail Download full preprint 139 KB
Received:
25.08.15
Published:
25.08.15

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
BibTex DOI: 10.1038/srep14238 ArXiv: 1509.06931