1.Department of Mathematics, College of Sciences,Yanbian University,Yanji,China;2.School of Mathematics Sciences,Capital Normal University,Beijing,China;3.Max-Planck-Institute for Mathematics in the Science,Leipzig,Germany
Abstract:
The construction of unextendible maximally entangled bases is tightly related to quantum information processing like local state discrimination. We put forward two constructions of UMEBs in ({mathbb {C}}^{pd}otimes {mathbb {C}}^{qd})((ple q)) based on the constructions of UMEBs in ({mathbb {C}}^{d}otimes {mathbb {C}}^{d}) and in ({mathbb {C}}^{p}otimes {mathbb {C}}^{q}), which generalizes the results in Guo (Phys Rev A 94:052302, 2016) by two approaches. Two different 48-member UMEBs in ({mathbb {C}}^{6}otimes {mathbb {C}}^{9}) have been constructed in detail.
