Bures Geometry of the Three-Level Quantum Systems. I
Quantum Physics
2009-11-06 v2 Mathematical Physics
Differential Geometry
math.MP
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.
Cite
@article{arxiv.quant-ph/0008069,
title = {Bures Geometry of the Three-Level Quantum Systems. I},
author = {Paul B. Slater},
journal= {arXiv preprint arXiv:quant-ph/0008069},
year = {2009}
}
Comments
Eight pages, LaTeX, two postscript figures, minor changes, to appear in J. Geom. Phys