Mutually Unbiasedness between Maximally Entangled Bases and Unextendible Maximally Entangled Bases in ℂ2⊗ ℂ2k
Jun Zhang, Hua Nan, Yuan-Hong Tao, and Shao-Ming Fei
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Submission date: 20. Jan. 2016
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
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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We study maximally entangled bases and unextendible maximally entangled bases in bipartite systems ℂ2⊗ ℂ2k (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.