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

Abstract

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

arXiv comment10 pages

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Cited by in corpus (6)

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• Unextendible entangled bases and more nonlocality with less entanglement
• Local indistinguishability and incompleteness of entangled orthogonal bases: Method to generate two-element locally indistinguishable ensembles
• Constructing mutually unbiased bases from unextendible maximally entangled bases