Construction of a Family of Maximally Entangled Bases in ℂ d ⊗ ℂ d′.

In this paper, we present a new method for the construction of maximally entangled states in C d ⊗ C d ′ when d ′ ≥ 2 d . A systematic way of constructing a set of maximally entangled bases (MEBs) in C d ⊗ C d ′ was established. Both cases when d ′ is divisible by d and not divisible by d are discussed. We give two examples of maximally entangled bases in C 2 ⊗ C 4 , which are mutually unbiased bases. Finally, we found a new example of an unextendible maximally entangled basis (UMEB) in C 2 ⊗ C 5 . [ABSTRACT FROM AUTHOR]