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Generalization of the geometric phase to completely positive maps
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.
Stockholm University, SCFAB, Fysikum, Sweden .
Centre for Quantum Computation, Clarendon Laboratory, University of Oxford, UK.
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2003 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 67, no 2, 020101(R)- p.Article in journal (Refereed) Published
Abstract [en]

We generalize the notion of relative phase to completely positive maps with known unitary representation, based on interferometry. Parallel transport conditions that define the geometric phase for such maps are introduced. The interference effect is embodied in a set of interference patterns defined by flipping the environment state in one of the two paths. We show for the qubit that this structure gives rise to interesting additional information about the geometry of the evolution defined by the CP map.

Place, publisher, year, edition, pages
2003. Vol. 67, no 2, 020101(R)- p.
Keyword [en]
Geometric phase, completely positive maps, mixed quantum states
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:uu:diva-45750DOI: 10.1103/PhysRevA.67.020101ISI: 000181361200001OAI: oai:DiVA.org:uu-45750DiVA: diva2:73659
Note
Also in Virtual Journal of Quantum Information, March issue 2003Available from: 2006-12-14 Created: 2006-12-14 Last updated: 2017-12-05

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Ericsson, MarieSjöqvist, Erik

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