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Generalization of the geometric phase to completely positive maps

Ericsson, M and Sjoqvist, E and Brannlund, J and Oi, D K L and Pati, A K (2003) Generalization of the geometric phase to completely positive maps. Physical Review A, 67 (2). -. ISSN 1050-2947

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    Abstract

    We generalize the notion of relative phase to completely positive (CP) 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.

    Item type: Article
    ID code: 35342
    Keywords: geometry , positive maps , parallel transport, Optics. Light, Atomic and Molecular Physics, and Optics
    Subjects: Science > Physics > Optics. Light
    Department: Faculty of Science > Physics
    Related URLs:
    Depositing user: Pure Administrator
    Date Deposited: 04 Nov 2011 05:21
    Last modified: 05 Sep 2014 13:25
    URI: http://strathprints.strath.ac.uk/id/eprint/35342

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