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Relative entropy serves as a crucial concept in both mathematics and physics, functioning as the quantum counterpart to the classical Kullback-Leibler divergence. The book explores various adaptations of relative entropy, emphasizing its applications in quantum information. It highlights three primary classes of relative entropy: standard, maximal, and measured, each offering unique insights and utilities in the study of quantum systems and their information-theoretic implications.
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Quantum f-Divergences in von Neumann Algebras, Fumio Hiai
- Language
- Released
- 2022
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- (Paperback)
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- Subtitle
- Reversibility of Quantum Operations
- Language
- English
- Authors
- Fumio Hiai
- Publisher
- Springer Nature Singapore
- Released
- 2022
- Format
- Paperback
- Pages
- 204
- ISBN13
- 9789813342019
- Series
- Description
- Relative entropy serves as a crucial concept in both mathematics and physics, functioning as the quantum counterpart to the classical Kullback-Leibler divergence. The book explores various adaptations of relative entropy, emphasizing its applications in quantum information. It highlights three primary classes of relative entropy: standard, maximal, and measured, each offering unique insights and utilities in the study of quantum systems and their information-theoretic implications.