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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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Pubblicazione: | Singapore : , : Springer, , [2022] |
©2022 | |
Descrizione fisica: | 1 online resource (150 pages) |
Disciplina: | 536.7 |
Soggetto topico: | Thermodynamics - Mathematics |
Thermodynamics | |
Quantum theory | |
Nota di contenuto: | 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 Clock and Work Storage -- 8.4 Average Work Bound -- 8.5 Single-Shot Work Bound: Exact Case -- 8.6 Single-Shot Work Bound: Approximate Case -- 8.7 Single-Shot Work Bound: Asymptotic Case -- 8.8 Trace-Nonincreasing Formulation -- Appendix A General Quantum Divergences and Their Monotonicity -- A.1 Some Operator Inequalities -- A.2 Operator Convex and Operator Monotone -- A.3 General Monotonicity Properties -- A.4 Quantum Fisher Information -- Appendix B Hypothesis Testing -- B.1 Hypothesis Testing Divergence -- B.2 Quantum Stein's Lemma -- Appendix C Classical Asymptotic Equipartition Properties -- Appendix References. |
Titolo autorizzato: | Entropy, divergence, and majorization in classical and quantum thermodynamics ![]() |
ISBN: | 981-16-6644-X |
981-16-6643-1 | |
Formato: | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 996549469003316 |
Lo trovi qui: | Univ. di Salerno |
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