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Phys. Rev. A 75, 032106 (2007) [7 pages]

Operational approach to the Uhlmann holonomy

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Johan Åberg1,*, David Kult2, Erik Sjöqvist2, and Daniel K. L. Oi1,3
1Centre for Quantum Computation, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
2Department of Quantum Chemistry, Uppsala University, Box 518, Se-751 20 Uppsala, Sweden
3SUPA, University of Strathclyde, Glasgow G4 0NG, United Kingdom

Received 24 August 2006; revised 14 November 2006; published 8 March 2007

We suggest a physical interpretation of the Uhlmann amplitude of a density operator. Given this interpretation we propose an operational approach to obtain the Uhlmann condition for parallelity. This allows us to realize parallel transport along a sequence of density operators by an iterative preparation procedure. At the final step the resulting Uhlmann holonomy can be determined via interferometric measurements.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.75.032106
DOI:
10.1103/PhysRevA.75.032106
PACS:
03.65.Vf

*Electronic address: J.Aberg@damtp.cam.ac.uk

 
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