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A Note on Mutually Unbiased Unextendible Maximally Entangled Bases in $\mathbb{C}^{2}\bigotimes \mathbb{C}^{3}$

arXiv:1501.05503 · doi:10.1007/s10773-014-2227-1

Abstract

We systematically study the construction of mutually unbiased bases in $\mathbb{C}^{2}\bigotimes\mathbb{C}^{3}$, such that all the bases are unextendible maximally entangled ones. Necessary conditions of constructing a pair of mutually unbiased unextendible maximally entangled bases in $\mathbb{C}^{2}\bigotimes\mathbb{C}^{3}$ are derived. Explicit examples are presented.

10 pages