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A geometric framework for mixed quantum states based on a Kahler structure
Stockholm University, Faculty of Science, Department of Physics.
Number of Authors: 1
2015 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 48, no 25, 255301Article in journal (Refereed) Published
Abstract [en]

In this paper we introduce a geometric framework for mixed quantum states based on a Kahler structure. The geometric framework includes a symplectic form, an almost complex structure, and a Riemannian metric that characterize the space of mixed quantum states. We argue that the almost complex structure is integrable. We also in detail discuss a visualizing application of this geometric framework by deriving a geometric uncertainty relation for mixed quantum states. The framework is computationally effective and it provides us with a better understanding of general quantum mechanical systems.

Place, publisher, year, edition, pages
2015. Vol. 48, no 25, 255301
Keyword [en]
geometric quantum mechanics, symeplectic geometry, Kahler manifold, mixed quantum states, quantum information
National Category
Physical Sciences Mathematics
Identifiers
URN: urn:nbn:se:su:diva-118937DOI: 10.1088/1751-8113/48/25/255301ISI: 000356043300010OAI: oai:DiVA.org:su-118937DiVA: diva2:842988
Available from: 2015-07-24 Created: 2015-07-21 Last updated: 2017-12-04Bibliographically approved

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