Bures geometry of the three-level quantum systems. II
Mathematical Physics
2007-05-23 v1 Differential Geometry
math.MP
Computational Physics
Quantum Physics
Abstract
For the eight-dimensional Riemannian manifold comprised by the three-level quantum systems endowed with the Bures metric, we numerically approximate the integrals over the manifold of several functions of the curvature and of its (anti-)self-dual parts. The motivation for pursuing this research is to elaborate upon the findings of Dittmann in his paper, "Yang-Mills equation and Bures metric" (quant-ph/9806018).
Cite
@article{arxiv.math-ph/0102032,
title = {Bures geometry of the three-level quantum systems. II},
author = {Paul B. Slater},
journal= {arXiv preprint arXiv:math-ph/0102032},
year = {2007}
}
Comments
thirteen pages, LaTeX, four tables, two figures, this paper supersedes math-ph/0012031, "Numerical analyses of a quantum-theoretic eight-dimensional Yang-Mills fields," which will be withdrawn. For part I of this paper (to appear in J. Geom. Phys.), see quant-ph/0008069