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Mixed state geometric phases, entangled systems, and local unitary transformations

Ericsson, M and Pati, A K and Sjoqvist, E and Brannlund, J and Oi, D K L (2003) Mixed state geometric phases, entangled systems, and local unitary transformations. Physical Review Letters, 91 (9). -. ISSN 0031-9007

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    Abstract

    The geometric phase for a pure quantal state undergoing an arbitrary evolution is a "memory" of the geometry of the path in the projective Hilbert space of the system. We find that Uhlmann's geometric phase for a mixed quantal state undergoing unitary evolution depends not only on the geometry of the path of the system alone but also on a constrained bilocal unitary evolution of the purified entangled state. We analyze this in general, illustrate it for the qubit case, and propose an experiment to test this effect. We also show that the mixed state geometric phase proposed recently in the context of interferometry requires unilocal transformations and is therefore essentially a property of the system alone.

    Item type: Article
    ID code: 35340
    Keywords: quantum systems, parallel transport, interferometry, Optics. Light, Physics and Astronomy(all)
    Subjects: Science > Physics > Optics. Light
    Department: Faculty of Science > Physics
    Related URLs:
    Depositing user: Pure Administrator
    Date Deposited: 03 Nov 2011 13:45
    Last modified: 05 Sep 2014 13:26
    URI: http://strathprints.strath.ac.uk/id/eprint/35340

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