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
6/2018
Unextendable maximally entangled bases and mutually unbiased bases in multipartite systems
Ya-Jing Zhang, Hui Zhao, Naihuan Jing and Shao-Ming Fei
Abstract
We generalize the notion of unextendable maximally entangled basis from bipartite systems to multipartite quantum systems. It is proved that there do not exist unextendible maximally entangled bases in three-qubit systems. Moreover, two types of unextendable maximally entangled bases are constructed in tripartite quantum systems and proved to be not mutually unbiased.
