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Geometric Phases of the Uhlmann and Sjoqvist et al Types for O(3)-Orbits of n-Level Gibbsian Density Matrices
Paul B. Slater
We accept the implicit challenge of A. Uhlmann in his 1994 paper, "Parallel Lifts and Holonomy along Density Operators: Computable Examples Using O(3)-Orbits," by, in fact, computi…
Comment on "Geometric Phases for Mixed States in Interferometry"
Paul B. Slater
We find for the unitary evolution of spin-1/2 systems that the "purely mathematical mixed state holonomy of Uhlmann limitedly agrees, in the case of evolution over geodesic spheric…
Mixed State Holonomies
Paul B. Slater
Sjoqvist, Pati, Ekert, Anandan, Ericsson, Oi and Vedral (Phys. Rev. Lett. 85, 2845 [2000]) have recently "provided a physical prescription based on interferometry for introducing t…
Self-duality, four-forms, and the eight-dimensional Yang-Mills/Dittmann-Bures field over the three-level quantum systems
Paul B. Slater
Utilizing a number of results of Dittmann, we investigate the nature of the Yang-Mills field over the eight-dimensional convex set, endowed with the Bures metric, of three-level qu…
Bures geometry of the three-level quantum systems. II
Paul B. Slater
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…
Numerical analyses of a quantum-theoretic eight-dimensional Yang-Mills field
Paul B. Slater
This paper has been superseded by math-ph/0102032, "Bures geometry of the three-level quantum systems. II".