Unextendible maximally entangled bases and mutually unbiased bases

Bin Chen and Shao-Ming Fei

Contact the author: Please use for correspondence this email.
Submission date: 29. Jan. 2014
published in: Physical review / A, 88 (2013) 3, art-no. 034301 
DOI number (of the published article): 10.1103/PhysRevA.88.034301
Bibtex
Download full preprint: PDF (122 kB), PS ziped (314 kB)

Abstract:
We study unextendible maximally entangled basis in arbitrary bipartite spaces. A systematic way of constructing a set of d² orthonormal maximally entangled states in ℂ^d ⊗ ℂ^d′( < d < d′) is provided. The complementary space of the set of these d² orthonormal maximally entangled states contains no maximally entangled states that are orthogonal to all of them. Furthermore, we investigate mutually unbiased bases in which all the bases are unextendible maximally entangled ones. We present two unextendible maximally entangled bases in ℂ² ⊗ ℂ³ which are mutually unbiased.