Preprint 74/2019

Constructing mutually unbiased bases from unextendible maximally entangled bases

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

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Submission date: 21. Aug. 2019
Pages: 19
published in: Reports on mathematical physics, 85 (2020) 1, p. 105-118 
DOI number (of the published article): 10.1016/S0034-4877(20)30013-6
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We study mutually unbiased bases (MUBs) in which all the bases are unextendible maximally entangled ones. We first present a necessary and sufficient condition of constructing a pair of MUBs in C2C4. Based on this condition, an analytical necessary condition for constructing MUBs is given. Moreover we illustrate our approach by some detailed examples in C2C4. The results are generalized to C2Cd (d 3) and a concrete example in C2C8 is given.

06.03.2020, 02:16