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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 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
48/2016

Variance-based uncertainty relations for incompatible observables

Bin Chen, Ning-Ping Cao, Shao-Ming Fei and Gui-Lu Long

Abstract

We formulate uncertainty relations for arbitrary finite number of incompatible observables. Based on the sum of variances of the observables, both Heisenberg-type and Schrödinger-type uncertainty relations are provided. These new lower bounds are stronger in most of the cases than the ones derived from some existing inequalities. Detailed examples are presented.

Received:
Jul 11, 2016
Published:
Jul 14, 2016

Related publications

inJournal
2016 Repository Open Access
Bin Chen, Ning-Ping Cao, Shao-Ming Fei and Gui-Lu Long

Variance-based uncertainty relations for incompatible observables

In: Quantum information processing, 15 (2016) 9, pp. 3909-3917