Unextendible maximally entangled bases and mutually unbiased bases in multipartite systems

摘要

We generalize the notion of unextendible maximally entangled basis frombipartite systems to multipartite quantum systems. It is proved that there donot exist unextendible maximally entangled bases in three-qubit systems.Moreover,two types of unextendible maximally entangled bases are constructed intripartite quantum systems and proved to be not mutually unbiased.