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Uhlmann's geometric phase in presence of isotropic decoherence
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Quantum Chemistry.
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Quantum Chemistry.
2003 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 67, no 3, 032110- p.Article in journal (Refereed) Published
Abstract [en]

Uhlmann's mixed state geometric phase [Rep. Math. Phys. 24, 229 (1986)] is analyzed in the case of a qubit affected by isotropic decoherence treated in the Markovian approximation. It is demonstrated that this phase decreases rapidly with increasing decoherence rate and that it is most fragile to weak decoherence for pure or nearly pure initial states. In the unitary case, we compare Uhlmann's geometric phase for mixed states with that occurring in standard Mach-Zehnder interferometry [Phys. Rev. Lett. 85, 2845 (2000)] and show that the latter is more robust to reduction in the length of the Bloch vector. We also describe how Uhlmann's geometric phase in the present case could in principle be realized experimentally.

Place, publisher, year, edition, pages
2003. Vol. 67, no 3, 032110- p.
Keyword [en]
Uhlmann holonomy, mixed quantum states, Lindblad equation
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:uu:diva-45733DOI: 10.1103/PhysRevA.67.032110ISI: 000181965900020OAI: oai:DiVA.org:uu-45733DiVA: diva2:73641
Note
Also in Virtual Journal of Quantum Information, April issue 2003. Available from: 2007-02-06 Created: 2007-02-06 Last updated: 2017-12-05

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Sjöqvist, Erik

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