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Geometric uncertainty relation for quantum ensembles
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
2015 (English)In: Physica Scripta, ISSN 0031-8949, E-ISSN 1402-4896, Vol. 90, no 2, 025102Article in journal (Refereed) Published
Abstract [en]

Geometrical structures of quantum mechanics provide us with new insightful results about the nature of quantum theory. In this work we consider mixed quantum states represented by finite rank density operators. We review our geometrical framework that provide the space of density operators with Riemannian and symplectic structures, and we derive a geometric uncertainty relation for observables acting on mixed quantum states. We also give an example that visualizes the geometric uncertainty relation for spin-1/2 particles.

Place, publisher, year, edition, pages
2015. Vol. 90, no 2, 025102
Keyword [en]
uncertainty relation, mixed quantum states, geometry of quantum mechanics
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-115444DOI: 10.1088/0031-8949/90/2/025102ISI: 000349310200005OAI: oai:DiVA.org:su-115444DiVA: diva2:798938
Note

AuthorCount:2;

Available from: 2015-03-27 Created: 2015-03-24 Last updated: 2017-12-04Bibliographically approved

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