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Bures Geometry of the Three-Level Quantum Systems. I

Paul B. Slater
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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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Paul B. Slater. 2001-01-24. Bures Geometry of the Three-Level Quantum Systems. I. https://doi.org/10.1016/s0393-0440(01)00012-2

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