Mutually Unbiasedness between Maximally Entangled Bases and Unextendible Maximally Entangled Bases in ℂ² ⊗ ℂ^2k

Jun Zhang, Hua Nan, Yuan-Hong Tao, and Shao-Ming Fei

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Submission date: 20. Jan. 2016
Pages: 7
published in: International journal of theoretical physics, 55 (2016) 2, p. 886-891 
DOI number (of the published article): 10.1007/s10773-015-2731-y
Bibtex
with the following different title: Mutually unbiasedness between maximally entangled bases and unextendible maximally entangled systems in C2 C2k
PACS-Numbers: 03.67.-a, 03.67.Aa, 03.65.Ta, 3.65.Ud
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Abstract:
We study maximally entangled bases and unextendible maximally entangled bases in bipartite systems ℂ² ⊗ ℂ^2k  (k > 1) which are mutually unbiased. We derive the mutually unbiased conditions of two such bases, and present an approach of constructing a pair of maximally entangled basis and unextendible maximally entangled basis which are mutually unbiased. In particular, explicit examples in ℂ² ⊗ ℂ⁴ and ℂ² ⊗ ℂ⁸ are given indetail.