Comment on "Criteria for Separability of Multipartite Quantum System"

Recently, Tao et al. (Int. J. Theor. Phys. 52 (6), 1970-1978, 2013) established a representation of density matrix for multipartite quantum system. Moreover, according to this representation of the density matrix for multipartite quantum system, Tao et al. (Int. J. Theor. Phys. 52 (6), 1970-1978, 2013) have presented two necessary criteria for separability of multipartite quantum system of arbitrary dimensions, for example, see Theorem 2.1 and Theorem 2.2. In this Comment, we would like to point out that Theorem 2.2 given by Tao et al. (Int. J. Theor. Phys. 52 (6), 1970-1978, 2013) is incorrect in general.