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MiS Preprint Repository

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
9/2020

Mutually unbiased measurement based entanglement witnesses

Tao Li, Le-Min Lai, Shao-Ming Fei and Zhi-Xi Wang

Abstract

We study entanglement witness and present a construction of entanglement witnesses in terms of the mutually unbiased measurements (MUMs). These witnesses include the entanglement witnesses constructed from mutually unbiased bases (MUBs) as a special case. Comparing with the dimension dependence of MUBs, the witnesses can be always constructed from a complete set of $d+1$ MUMs for any dimension $d$. We show that our witness can detect entanglement better than previous separability criterion given also by MUMs. And the approach can be experimentally implemented.

Received:
Jan 19, 2020
Published:
Jan 19, 2020

Related publications

inJournal
2019 Repository Open Access
Tao Li, Le-Min Lai, Shao-Ming Fei and Zhi-Xi Wang

Mutually unbiased measurement based entanglement witnesses

In: International journal of theoretical physics, 58 (2019) 12, pp. 3973-3985