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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
50/2015

Construction of Mutually Unbiased Bases in $\mathbb{C}^d\otimes \mathbb{C}^{2^ld'}$

Jun Zhang, Yuan-Hong Tao, Hua Nan and Shao-Ming Fei

Abstract

We study mutually unbiased bases in $\mathbb{C}^d\otimes \mathbb{C}^{2^ld'}$. A systematic way of constructing mutually unbiased maximally entangled bases (MUMEBs) in $\mathbb{C}^d\otimes \mathbb{C}^{2^ld'} (l\in \mathbb{Z^+})$ from MUMEBs in $\mathbb{C}^d \otimes \mathbb{C}^{d'}(d'=kd, k\in \mathbb{Z}^+)$, and a general approach to construct mutually unbiased unextendible maximally entangled bases (MUUMEBs) in $\mathbb{C}^d\otimes \mathbb{C}^{2^ld'} (l \in \mathbb{Z^+})$ from MUUMEBs in $\mathbb{C}^d \otimes \mathbb{C}^{d'}(d'=kd+r, 0<r<d)$ have been presented. Detailed examples are given.</p>

Received:
25.08.15
Published:
25.08.15

Related publications

inJournal
2015 Repository Open Access
Jun Zhang, Yuan-Hong Tao, Hua Nan and Shao-Ming Fei

Construction of mutually unbiased bases in \(C^d \otimes C^{2^ld'}\)

In: Quantum information processing, 14 (2015) 7, pp. 2635-2644