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On the Uniqueness of the Chentsov Metric in Quantum Information Geometry

M. R. Grasselli, R. F. Streater

Published 2000-06-28, updated 2002-06-10Version 2

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

Comments: Published version, includes comparison with related uniquines results and the explicit extension of monotone metrics from density operators to denormalized faithful. weights
Journal: Inf. Dim. Analysis, Quantum Prob. (IDAQP), Vol. 4, No. 2 (2001) 173-182
Categories: math-ph, math.DG, math.MP
Subjects: 82C10, 53Z05
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