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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
3/2017

Improved Uncertainty Relation in the Presence of Quantum Memory

Yunlong Xiao, Naihuan Jing, Shao-Ming Fei and Xianqing Li-Jost

Abstract

In Coles-Piani's recent remarkable version of the entropic uncertainty principle, the entropic sum is controlled by the first and second maximum overlaps between the two projective measurements. We generalize the entropic uncertainty relation and find the exact dependence on all first $d$ largest overlaps between two measurements on any $d$-dimensional Hilbert space. The corresponding entropic uncertainty principle in the presence of quantum memory is also derived. Our bounds are strictly tighter than previous entropic bounds.

Received:
Jan 4, 2017
Published:
Jan 6, 2017

Related publications

inJournal
2016 Repository Open Access
Yunlong Xiao, Nai-Huan Jing, Shao-Ming Fei and Xianqing Li-Jost

Improved uncertainty relation in the presence of quantum memory

In: Journal of physics / A, 49 (2016) 49, 49LT01