Mutually Unbiasedness between Maximally Entangled Bases and Unextendible Maximally Entangled Systems in $mathbb {C}^{2}otimes mathbb {C}^{2^{k}}$期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Mutually Unbiasedness between Maximally Entangled Bases and Unextendible Maximally Entangled Systems in $mathbb {C}^{2}otimes mathbb {C}^{2^{k}}$

Authors:	Jun Zhang Hua Nan Yuan-Hong Tao Shao-Ming Fei

Affiliation:	1.School of Mathematical Sciences,Capital Normal University,Beijing,China;2.Department of Mathematics, College of Sciences,Yanbian University,Yanji,China;3.Max-Planck-Institute for Mathematics in the Sciences,Leipzig,Germany

Abstract:	The mutually unbiasedness between a maximally entangled basis (MEB) and an unextendible maximally entangled system (UMES) in the bipartite system (mathbb {C}^{2}otimes mathbb {C}^{2^{k}} (k>1)) are introduced and discussed first in this paper. Then two mutually unbiased pairs of a maximally entangled basis and an unextendible maximally entangled system are constructed; lastly, explicit constructions are obtained for mutually unbiased MEB and UMES in (mathbb {C}^{2}otimes mathbb {C}^{4}) and (mathbb {C}^{2}otimes mathbb {C}^{8}), respectively.

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