title: Local unitary classification of arbitrary dimensional multipartite pure states.
abstract: 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.
authors.affiliation: Department of Physics, Graduate University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing 100049, China.
authors.forename: Bin
authors.initials: B
authors.lastname: Liu
authors.forename: Jun-Li
authors.initials: JL
authors.lastname: Li
authors.forename: Xikun
authors.initials: X
authors.lastname: Li
authors.forename: Cong-Feng
authors.initials: CF
authors.lastname: Qiao