Local Unitary Classification of Arbitrary Dimensional Multipartite Pure   States
  We propose a practical entanglement classification scheme for general multipartite pure states in arbitrary dimensions under local unitary equivalence by exploiting the high order singular value decomposition technique and local symmetries of the states. By virtue of this scheme, the method of determining the local unitary equivalence of $n$-qubit states proposed by Kraus is extended to the case for arbitrary dimensional multipartite states. 
Bin Liu, Jun-Li Li, Xikun Li, and Cong-Feng Qiao
quant-ph hep-ph