Multipartite generalisation of the Schmidt decomposition

Details Multipartite generalisation of the Schmidt decomposition Multipartite generalisation of the Schmidt decomposition

2000-06-28

arxiv.org/abs/quant-ph/0006125v5

J. Math. Phys. 41, 7932-7939 (2000)

Physics

Quantum Physics

For readers' convenience, we include a separate proof of Theorem 1

Scientific paper

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.

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