Mixed State Holonomies

Details Mixed State Holonomies Mixed State Holonomies

2001-11-21

arxiv.org/abs/math-ph/0111041v4

Lett. Math. Phys. 60(2):123-133; May 2002

Physics

Mathematical Physics

eight pages, LaTex, four figures, modified presentation

Scientific paper

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.

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