Comment on "Geometric Phases for Mixed States in Interferometry"
Mathematical Physics
2007-05-23 v2 Condensed Matter
math.MP
Quantum Physics
Abstract
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 spherical triangles, with the holonomy "in the experimental context of quantum interferometry" recently proposed by Sjoqvist, Pati, Ekert, Anandan, Ericsson, Oi and Vedral (Phys. Rev. Lett. 85 [2000], 2845-2848).
Keywords
Cite
@article{arxiv.math-ph/0111013,
title = {Comment on "Geometric Phases for Mixed States in Interferometry"},
author = {Paul B. Slater},
journal= {arXiv preprint arXiv:math-ph/0111013},
year = {2007}
}
Comments
this paper has been supplanted by math-ph/0111041, "Mixed State Holonomies", considerable material having been added there