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Record Nr. |
UNINA9910743340203321 |
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Autore |
Sagawa Takahiro |
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Titolo |
Entropy, divergence, and majorization in classical and quantum thermodynamics / / Takahiro Sagawa |
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Pubbl/distr/stampa |
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Singapore : , : Springer, , [2022] |
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©2022 |
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ISBN |
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981-16-6644-X |
981-16-6643-1 |
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Descrizione fisica |
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1 online resource (150 pages) |
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Collana |
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SpringerBriefs in mathematical physics ; ; Volume 16 |
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Disciplina |
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Soggetti |
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Thermodynamics - Mathematics |
Thermodynamics |
Quantum theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Intro -- Preface -- Acknowledgements -- Contents -- 1 Introduction -- 2 Classical Entropy and Divergence -- 2.1 Classical State and Dynamics -- 2.2 Shannon Entropy and the KL Divergence -- 2.3 Rényi Entropy and Divergence -- 2.4 General Classical Divergences -- 2.5 Fisher Information -- 3 Classical Majorization -- 3.1 Majorization -- 3.2 d-Majorization and Thermo-Majorization -- 3.3 Catalytic Majorization -- 3.4 Continuous Variable Case -- 3.5 Proofs -- 4 Classical Thermodynamics -- 4.1 Second Law and the KL Divergence -- 4.2 Single-Shot Work Bound -- 5 Quantum Entropy and Divergence -- 5.1 Quantum State and Dynamics -- 5.2 von Neumann Entropy and the Quantum KL Divergence -- 5.3 Quantum Rényi Entropy and Divergence -- 6 Quantum Majorization -- 6.1 Quantum Majorization -- 6.2 Noisy Operations -- 6.3 Quantum d-Majorization -- 6.4 Remark on Resource Theory of Entanglement -- 7 Approximate and Asymptotic Majorization and Divergence -- 7.1 Smooth Divergence and Approximate Majorization -- 7.2 Information Spectrum and Asymptotic Majorization -- 7.3 Quantum Asymptotic Equipartition Property -- 7.4 More on the Smoothing -- 8 Quantum Thermodynamics -- 8.1 Nonequilibrium Free Energy -- 8.2 Thermal Operations and Gibbs-Preserving Maps -- 8.3 |
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