arXiv:quant-ph/0006125AbstractReferencesReviewsResources
Multipartite generalisation of the Schmidt decomposition
H. A. Carteret, A. Higuchi, A. Sudbery
Published 2000-06-28, updated 2002-12-23Version 5
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.
Comments: For readers' convenience, we include a separate proof of Theorem 1
Journal: J. Math. Phys. 41, 7932-7939 (2000)
DOI: 10.1063/1.1319516
Categories: quant-ph
Subjects: 03.65.-w
Keywords: schmidt decomposition, multipartite generalisation, generic local equivalence class, general multipartite system, factorisable orthonormal basis
Tags: journal article
Related articles: Most relevant | Search more
Dealing with entanglement of continuous variables: Schmidt decomposition with discrete sets of orthogonal functions
arXiv:1003.4755 [quant-ph] (Published 2010-03-24)
Geometric measures of entanglement and the Schmidt decomposition
Geometric measures of entanglement and the Schmidt decomposition