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Parametrizations of density matrices
Umeå University, Faculty of Science and Technology, Department of Physics.
2012 (English)In: Journal of Modern Optics, ISSN 0950-0340, E-ISSN 1362-3044, Vol. 59, no 1, 1-20 p.Article, review/survey (Refereed) Published
Abstract [en]

This article gives a brief overview of some recent progress in the characterization and parametrization of density matrices of finite dimensional systems. We discuss in some detail the Bloch-vector and Jarlskog parametrizations and mention briefly the coset parametrization. As applications of the Bloch parametrization we discuss the trace invariants for the case of time dependent Hamiltonians and in some detail the dynamics of three-level systems. Furthermore, the Bloch vector of two-qubit systems as well as the use of the polarization operator basis is indicated. As the main application of the Jarlskog parametrization we construct density matrices for composite systems. In addition, some recent related articles are mentioned without further discussion.

Place, publisher, year, edition, pages
2012. Vol. 59, no 1, 1-20 p.
Keyword [en]
quantum optics (inc. quantum information), density matrix parametrization, Jarlskog parametrization, Bloch vector, finite-dimensional density matrix
National Category
Atom and Molecular Physics and Optics
URN: urn:nbn:se:umu:diva-51454DOI: 10.1080/09500340.2011.632097ISI: 000298153800001OAI: diva2:483333
Available from: 2012-01-25 Created: 2012-01-23 Last updated: 2012-01-25Bibliographically approved

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Mäkelä, Harri
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