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.

10 pages

References in corpus (3)

• Maximal Sets of Mutually Unbiased Quantum States in Dimension Six
• Numerical evidence for the maximum number of mutually unbiased bases in dimension six
• Mutually unbiased bases, orthogonal Latin squares, and hidden-variable models

Cited by in corpus (1)

• Constructing UMEB from maximally entangled basis