95 citations · 145 across the 5 of their papers we have counts for
5 papers
On the Curvature of Monotone Metrics and a Conjecture Concerning the Kubo-Mori Metric
J. Dittmann
It is the aim of this article to determine curvature quantities of an arbitrary Riemannian monotone metric on the space of positive matrices resp. nonsingular density matrices. Spe…
The Scalar Curvature of the Bures Metric on the Space of Density Matrices
J. Dittmann
The Riemannian Bures metric on the space of (normalized) complex positive matrices is used for parameter estimation of mixed quantum states based on repeated measurements just as t…
Note on Explicit Formulae for the Bures Metric
J. Dittmann
The aim of this paper is to derive explicit formulae for the Riemannian Bures metric on the manifold of (finite dimensional) nondegenerate density matrices. The computation of the…
Connections and Metrics Respecting Standard Purification
J. Dittmann, A. Uhlmann
Standard purification interlaces Hermitian and Riemannian metrics on the space of density operators with metrics and connections on the purifying Hilbert-Schmidt space. We discuss…
Yang-Mills Equation and Bures Metric
J. Dittmann
It is shown that the connection form (gauge field) related to the generalization of the Berry phase to mixed states proposed by Uhlmann satisfies the source-free Yang-Mills equatio…