On the Uniqueness of the Chentsov Metric in Quantum Information Geometry
arXiv:math-ph/0006030
Abstract
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
Published version, includes comparison with related uniquines results and the explicit extension of monotone metrics from density operators to denormalized faithful. weights