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On the Uniqueness of the Chentsov Metric in Quantum Information Geometry

M. R. Grasselli, R. F. Streater

math-pharXiv: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

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