Multipartite generalisation of the Schmidt decomposition
نویسندگان
چکیده
We find a canonical form for pure states of a general multipartite system, in which the constraints on the coordinates (with respect to a factorisable 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.
منابع مشابه
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We show that pure states of multipartite quantum systems are multiseparable (i.e. give separable density matrices on tracing any party) if and only if they have a generalized Schmidt decomposition. Implications of this result for the quantification of multipartite pure-state entanglement are discussed. Further, as an application of the techniques used here, we show that any purification of a bi...
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Dafa Li1,∗, Xiangrong Li, Hongtao Huang, Xinxin Li 1 Dept of mathematical sciences, Tsinghua University, Beijing 100084 CHINA email:[email protected] 2 Department of Mathematics, University of California, Irvine, CA 92697-3875, USA 3 Electrical Engineering and Computer Science Department University of Michigan, Ann Arbor, MI 48109, USA 4 Dept. of computer science, Wayne State University,...
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