2001/11/30 by Paul B. Slater
Physics and Astronomy · Mathematics · #math-ph #cond-mat #math.MP #quant-ph
published as Lett. Math. Phys. 60(2):123-133; May 2002 · eight pages, LaTex, four figures, modified presentation
arxiv created 2002/02/22 · arxiv updated 2009/11/30
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 the total phase of a mixed state undergoing unitary evolution, which has been an elusive concept in the past". They note that "Uhlmann was probably the first to address the issue of mixed state holonomy, but as a purely mathematical problem". We investigate possible relationships between these "experimental" and "mathematical" approaches, by examining various quantum-theoretic scenarios. We find that the two methodologies, in general, yield inequivalent outcomes.