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[null,"1.","Record Nr.",null,"UNINA9910743340203321"]
[null,null,"Autore",null,"Sagawa Takahiro"]
[null,null,"Titolo",null,"Entropy, divergence, and majorization in classical and quantum thermodynamics / / Takahiro Sagawa"]
[null,null,"Pubbl/distr/stampa",null,"Singapore : , : Springer, , [2022]"]
[{"$nulls":4},"©2022"]
[null,null,"ISBN",null,"981-16-6644-X"]
[{"$nulls":4},"981-16-6643-1"]
[null,null,"Descrizione fisica",null,"1 online resource (150 pages)"]
[null,null,"Collana",null,"SpringerBriefs in mathematical physics ; ; Volume 16"]
[null,null,"Disciplina",null,"536.7"]
[null,null,"Soggetti",null,"Thermodynamics - Mathematics"]
[{"$nulls":4},"Thermodynamics"]
[{"$nulls":4},"Quantum theory"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"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-"]
[{"$nulls":4},"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."]