Constructing UMEB from maximally entangled basis

A new way of constructing unextendible maximally entangled basis (UMEB) from maximally entangled basis (MEB) is proposed. Consequently, it is shown that if there is an N-member UMEB in mathbb{C}^dotimes mathbb{C}^d, then there exists a (qd)²-q\(d²-N\)-member UMEB in mathbb{C}^qdotimes mathbb{C}^qd for any qinmathbb{N}. This improves the results in [Phys. Rev. A 90, 034301(2014)], which shows that there exists a (qd)²-\(d²-N\)-member UMEB in mathbb{C}^qdotimes mathbb{C}^qd provided that an N-member UMEB exsits in mathbb{C}^dotimes mathbb{C}^d. In addition, a very easy way of constructing UMEB in mathbb{C}^dotimes mathbb{C}^d' with d<d' is presented, which promotes and covers all the previous related work.