Multipartite generalization of the Schmidt decomposition

H A Carteret; A Higuchi; A Sudbery

Multipartite generalization of the Schmidt decomposition

H A Carteret, A Higuchi, A Sudbery

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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].

Original language	English
Pages (from-to)	7932-7939
Number of pages	8
Journal	Journal of Mathematical Physics
Volume	41
Issue number	12
Publication status	Published - Dec 2000

Keywords

ENTANGLEMENT

Cite this

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T1 - Multipartite generalization of the Schmidt decomposition

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AU - Sudbery, A

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N2 - 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].

AB - 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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VL - 41

SP - 7932

EP - 7939

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 12

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