MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server end of 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
74/2019

Constructing mutually unbiased bases from unextendible maximally entangled bases

Hui Zhao, Lin Zhang, Shao-Ming Fei and Naihuan Jing

Abstract

We study mutually unbiased bases (MUBs) in which all the bases are unextendible maximally entangled ones. We first present a necessary and sufficient condition of constructing a pair of MUBs in C2C4. Based on this condition, an analytical necessary condition for constructing MUBs is given. Moreover we illustrate our approach by some detailed examples in C2C4. The results are generalized to C2Cd (d3) and a concrete example in C2C8 is given.

Received:
21.08.19
Published:
23.08.19

Related publications

inJournal
2020 Repository Open Access
Hui Zhao, Lin Zhang, Shao-Ming Fei and Nai-Huan Jing

Constructing mutually unbiased bases from unextendible maximally entangled bases

In: Reports on mathematical physics, 85 (2020) 1, pp. 105-118