Quantum f-Divergences in von Neumann Algebras [E-Book] : Reversibility of Quantum Operations / by Fumio Hiai.
Relative entropy has played a significant role in various fields of mathematics and physics as the quantum version of the Kullback-Leibler divergence in classical theory. Many variations of relative entropy have been introduced so far with applications to quantum information and related subjects. Ty...
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Full text |
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Personal Name(s): | Hiai, Fumio, author |
Edition: |
1st edition 2021. |
Imprint: |
Singapore :
Springer,
2021
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Physical Description: |
X, 194 pages 139 illustrations (online resource) |
Note: |
englisch |
ISBN: |
9789813341999 |
DOI: |
10.1007/978-981-33-4199-9 |
Series Title: |
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Mathematical Physics Studies
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Classification: |
- 1 Introduction
- 2 Standard f -Divergences
- 3 Rényi Divergences and Sandwiched Rényi Divergences
- 4 Maximal f -Divergences
- 5 Measured f -Divergences
- 6 Reversibility and Quantum Divergences
- 7 Reversibility and Measurements
- 8 Preservation of Maximal f -Divergences
- A Preliminaries on von Neumann Algebras
- B Preliminaries on Positive Self-Adjoint Operators
- C Operator Convex Functions on (0,1)
- D Operator Connections of Normal Positive Functionals.