dorsal/arxiv
View SchemaBures Geometry of the Three-Level Quantum Systems. I
| Authors | Paul B. Slater |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0008069 |
| URL | https://arxiv.org/abs/quant-ph/0008069 |
| DOI | 10.1016/S0393-0440(01)00012-2 |
| Journal | Journal of Geometry and Physics 39(3), 207-216 (Sept. 2001) |
Abstract
We compute, using a formula of Dittmann, the Bures metric tensor (g) for the eight-dimensional convex set of three-level quantum systems, employing a newly-developed Euler angle-based parameterization of the 3 x 3 density matrices. Most of the individual metric elements (g_{ij}) are found to be expressible in relatively compact form, many of them in fact being exactly zero.
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"abstract": "We compute, using a formula of Dittmann, the Bures metric tensor (g) for the\neight-dimensional convex set of three-level quantum systems, employing a\nnewly-developed Euler angle-based parameterization of the 3 x 3 density\nmatrices. Most of the individual metric elements (g_{ij}) are found to be\nexpressible in relatively compact form, many of them in fact being exactly\nzero.",
"arxiv_id": "quant-ph/0008069",
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"Paul B. Slater"
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"doi": "10.1016/S0393-0440(01)00012-2",
"journal_ref": "Journal of Geometry and Physics 39(3), 207-216 (Sept. 2001)",
"title": "Bures Geometry of the Three-Level Quantum Systems. I",
"url": "https://arxiv.org/abs/quant-ph/0008069"
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