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
9/2016
Mutually Unbiasedness between Maximally Entangled Bases and Unextendible Maximally Entangled Bases in $\mathbb{C}^2\otimes \mathbb{C}^{2^k}$
Jun Zhang, Hua Nan, Yuan-Hong Tao and Shao-Ming Fei
Abstract
We study maximally entangled bases and unextendible maximally entangled bases in bipartite systems $\mathbb{C}^2 \otimes \mathbb{C}^{2^k}\ (k>1)$ which are mutually unbiased.
We derive the mutually unbiased conditions of two such bases, and present an approach of constructing a pair of maximally entangled basis and unextendible maximally entangled basis which are mutually unbiased.
In particular, explicit examples in $\mathbb{C}^2 \otimes \mathbb{C}^{4}$ and $\mathbb{C}^2 \otimes \mathbb{C}^{8}$ are given indetail.
