dorsal/arxiv
View SchemaMultipartite generalisation of the Schmidt decomposition
| Authors | H. A. Carteret, A. Higuchi, A. Sudbery |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0006125 |
| URL | https://arxiv.org/abs/quant-ph/0006125 |
| DOI | 10.1063/1.1319516 |
| Journal | J. Math. Phys. 41, 7932-7939 (2000) |
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 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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"abstract": "We find a canonical form for pure states of a general multipartite system, in\nwhich the constraints on the coordinates (with respect to a factorisable\northonormal basis) are simply that certain ones vanish and certain others are\nreal. For identical particles they are invariant under permutations of the\nparticles. As an application, we find the dimension of the generic local\nequivalence class.",
"arxiv_id": "quant-ph/0006125",
"authors": [
"H. A. Carteret",
"A. Higuchi",
"A. Sudbery"
],
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"quant-ph"
],
"doi": "10.1063/1.1319516",
"journal_ref": "J. Math. Phys. 41, 7932-7939 (2000)",
"title": "Multipartite generalisation of the Schmidt decomposition",
"url": "https://arxiv.org/abs/quant-ph/0006125"
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