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Bures Geometry of the Three-Level Quantum Systems. I | | Paul B. Slater
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15 Aug 2000 | | Journal: | Journal of Geometry and Physics 39(3), 207-216 (Sept. 2001) | | Subject: | Quantum Physics; Differential Geometry; Mathematical Physics | quant-ph math-ph math.DG math.MP | | Affiliation: | University of California | | 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. | | Source: | arXiv, quant-ph/0008069 | | Services: | Forum | Review | PDF | Favorites | |
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