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
48/2015
Mutually Unbiased Maximally Entangled Bases in $\mathbb{C}^d\otimes \mathbb{C}^{kd}$
Yuan-Hong Tao, Hua Nan, Jun Zhang and Shao-Ming Fei
Abstract
We study maximally entangled bases in bipartite systems $\mathbb{C}^d \otimes \mathbb{C}^{kd}\ (k\in Z^{+})$ which are mutually unbiased. By systematically constructing maximally entangled bases, we present an approach in constructing mutually unbiased maximally entangled bases. In particular, five maximally entangled bases in $\mathbb{C}^2 \otimes \mathbb{C}^{4}$ and three maximally entangled bases in $\mathbb{C}^2 \otimes \mathbb{C}^{6}$ that are mutually unbiased are presented.
