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Correction: Naudts, J. Quantum Statistical Manifolds. Entropy 2018, 20, 472
1Departement Fysica, Universiteit Antwerpen, Universiteitsplein 1, 2610 Wilrijk Antwerpen, Belgium.
Entropy (Basel, Switzerland)
|December 3, 2020
Summary
This paper corrects errors in Section 4 and Theorem 3 of "Quantum Statistical Manifolds," improving the accuracy of quantum statistical manifold research. A revised section and additional references enhance the original work.
Area of Science:
- Quantum Information Theory
- Statistical Mechanics
- Differential Geometry
Context:
- The original paper introduced quantum statistical manifolds.
- Errors were identified in Section 4 and Theorem 3 of the published work.
- These errors had minor implications for the broader conclusions.
Purpose:
- To provide a corrected version of Section 4.
- To amend the incomplete proof of Theorem 3.
- To address minor shortcomings and add missing references.
Summary:
- A revised Section 4 is presented, rectifying identified errors.
- The proof for Theorem 3 has been completed and is now accurate.
- Several minor issues within the paper have been resolved, including the addition of omitted references.
Impact:
- Ensures the reliability and accuracy of research on quantum statistical manifolds.
- Provides a more robust foundation for future studies in the field.
- Enhances the overall quality and completeness of the original publication.
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