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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
41/2015

Uncertainty relations based on mutually unbiased measurements

Bin Chen and Shao-Ming Fei

Abstract

We derive uncertainty relation inequalities according to the mutually unbiased measurements. Based on the calculation of the index of coincidence of probability distribution given by $d+1$ MUMs on any density operator $\rho$ in $\mathbb{C}^{d}$, both state-dependent and state-independent forms of lower entropic bounds are given. Furthermore, we formulate uncertainty relations for MUMs in terms of Rényi and Tsallis entropies.

Received:
12.08.15
Published:
14.08.15

Related publications

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

Uncertainty relations based on mutually unbiased measurements

In: Quantum information processing, 14 (2015) 6, pp. 2227-2238