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Section 4 of "Naudts J. Quantum Statistical Manifolds. Entropy  2018 , 20, 472" contains errors. They have limited consequences for the remainder of the paper. A new version of this Section is found here. Some smaller shortcomings of the paper are taken care of as well. In particular, the proof of Theorem 3 was not complete, and is therefore amended. Also, a few missing references are added.

Correction: Naudts, J. Quantum Statistical Manifolds. Entropy 2018, 20, 472