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Operational geometric phase for mixed quantum states
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
2013 (English)In: New Journal of Physics, ISSN 1367-2630, E-ISSN 1367-2630, Vol. 15, 053006- p.Article in journal (Refereed) Published
Abstract [en]

The geometric phase has found a broad spectrum of applications in both classical and quantum physics, such as condensed matter and quantum computation. In this paper, we introduce an operational geometric phase for mixed quantum states, based on spectral weighted traces of holonomies, and we prove that it generalizes the standard definition of the geometric phase for mixed states, which is based on quantum interferometry. We also introduce higher order geometric phases, and prove that under a fairly weak, generically satisfied, requirement, there is always a well-defined geometric phase of some order. Our approach applies to general unitary evolutions of both non-degenerate and degenerate mixed states. Moreover, since we provide an explicit formula for the geometric phase that can be easily implemented, it is particularly well suited for computations in quantum physics.

Place, publisher, year, edition, pages
2013. Vol. 15, 053006- p.
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-91040DOI: 10.1088/1367-2630/15/5/053006ISI: 000318538900001OAI: oai:DiVA.org:su-91040DiVA: diva2:630494
Funder
Swedish Research Council, 2008-5227
Note

AuthorCount:2;

Available from: 2013-06-19 Created: 2013-06-18 Last updated: 2017-12-06Bibliographically approved

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