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arXiv · 1708.04171

Unextendible maximally entangled bases and mutually unbiased bases in multipartite systems

Ya-Jing Zhang·Hui Zhao·Naihuan Jing·Shao-Ming Fei
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Abstract

We generalize the notion of unextendible 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 unextendible maximally entangled bases are constructed in tripartite quantum systems and proved to be not mutually unbiased.

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Ya-Jing Zhang, Hui Zhao, Naihuan Jing, Shao-Ming Fei. 2017-08-14. Unextendible maximally entangled bases and mutually unbiased bases in multipartite systems. https://doi.org/10.1007/s10773-017-3505-5

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