Unextendible maximally entangled bases and mutually unbiased bases in multipartite systems
Ya-Jing Zhang, Hui Zhao, Naihuan Jing, Shao-Ming Fei
TL;DR
This paper extends the concept of unextendible maximally entangled bases to multipartite systems, constructs new examples in tripartite systems, and analyzes their properties, including their mutual unbiasedness.
Contribution
It generalizes unextendible maximally entangled bases to multipartite systems and provides explicit constructions in tripartite systems.
Findings
No unextendible maximally entangled bases in three-qubit systems
Constructed two types of unextendible bases in tripartite systems
Proved these bases are not mutually unbiased
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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