摘要

In this paper, we present a new method for the construction of maximally entangled states in C-d circle times C-d' when d' >= 2d. A systematic way of constructing a set of maximally entangled bases (MEBs) in C-d circle times C-d' was established. Both cases when d' is divisible by d and not divisible by d are discussed. We give two examples of maximally entangled bases in C-2 circle times C-4, which are mutually unbiased bases. Finally, we found a new example of an unextendible maximally entangled basis (UMEB) in C-2 circle times C-5.

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