Unextendable maximally entangled bases and mutually unbiased bases in multipartite systems

Ya-Jing Zhang, Hui Zhao, Naihuan Jing, and Shao-Ming Fei

Contact the author: Please use for correspondence this email.
Submission date: 15. Jan. 2018
Pages: 8
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
Bibtex
with the following different title: Unextendible maximally entangled bases and mutually unbiased bases in multipartite systems
Download full preprint: PDF (112 kB)

Abstract:
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.