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Mixed state geometric phases, entangled systems, and local unitary transformations
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Quantum Chemistry.
Institute of Physics, Bhubaneswar, India.
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Quantum Chemistry.
SCFAB, Dept. of Physics, Stockholm Univ., Sweden.
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2003 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 91, no 9, 090405- p.Article in journal (Refereed) Published
Abstract [en]

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 not only depends on the geometry of the path of the system alone but also on a constrained bi-local 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 uni-local transformations and is therefore essentially a property of the system alone.

Place, publisher, year, edition, pages
2003. Vol. 91, no 9, 090405- p.
Keyword [en]
Geometric phase, Uhlmann holonomy, mixed quantum states
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:uu:diva-45724DOI: 10.1103/PhysRevLett.91.090405PubMedID: 14525166OAI: oai:DiVA.org:uu-45724DiVA: diva2:73632
Note
Also in Virtual Journal of Quantum Information, September 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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