Unextendable maximally entangled bases and mutually unbiased bases in multipartite systems
Ya-Jing Zhang, Hui Zhao, Naihuan Jing, and Shao-Ming Fei
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Submission date: 15. Jan. 2018
published in: International journal of theoretical physics, 56 (2017) 11, p. 3425-3430
DOI number (of the published article): 10.1007/s10773-017-3505-5
with the following different title: Unextendible maximally entangled bases and mutually unbiased bases in multipartite systems
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We generalize the notion of unextendable maximally entangled basis from bipartite systems to multipartite quantum systems. It is proved that there do not exist unextendible maximally entangled bases in three-qubit systems. Moreover, two types of unextendable maximally entangled bases are constructed in tripartite quantum systems and proved to be not mutually unbiased.