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Multipartite generalization of the Schmidt decomposition

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JournalJournal of Mathematical Physics
DatePublished - Dec 2000
Issue number12
Number of pages8
Pages (from-to)7932-7939
Original languageEnglish


We find a canonical form for pure states of a general multipartite system, in which the constraints on the coordinates (with respect to a factorizable orthonormal basis) are simply that certain ones vanish and certain others are real. For identical particles they are invariant under permutations of the particles. As an application, we find the dimension of the generic local equivalence class. (C) 2000 American Institute of Physics. [S0022-2488(00)00512-0].

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