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math-ph2000
On the Uniqueness of the Chentsov Metric in Quantum Information Geometry
M. R. Grasselli, R. F. Streater
We show that, in finite dimensions, the only monotone metrics for which the (+1) and (-1) affine connections are mutually dual are constant multiples of Bogoliubov-Kubo-Mori metric
math-ph2000
Classical and quantum info-manifolds
R. F. Streater
We survey recent work on the Cramer-Rao inequality by Hasagawa and Petz; the notion of information manifold in infinite-dimensional Hilbert spaces is introduced, and the extension…