Abstract:

A complete Bellbasetype unextendible maximally entangled basis in C₂×C₃ was proved. Based on a constructed orthonormal basis in C₃, another complete Bellbasetype unextendible maximally entangled basis was constructed, which is mutually unbiased with the first one. Finally, two classes of Bellbasetype unextendible maximally entangled bases which are mutually unbiased were presented.

Key words: Bellbasetype, maximally entangled state, mutually unbiased basis； unextendible maximally entangled basis