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Geometry of positive operators and uhlmann's approach to the geometric phase

✍ Scribed by Corach, Gustavo; Maestripieri, Alejandra L.


Book ID
121675470
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
705 KB
Volume
47
Category
Article
ISSN
0034-4877

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✍ Moakher, Maher πŸ“‚ Article πŸ“… 2005 πŸ› Society for Industrial and Applied Mathematics 🌐 English βš– 204 KB

In this paper we introduce metric-based means for the space of positive-definite matrices. The mean associated with the Euclidean metric of the ambient space is the usual arithmetic mean. The mean associated with the Riemannian metric corresponds to the geometric mean. We discuss some invariance pro