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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.
