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Entropy, divergence, and majorization in classical and quantum thermodynamics / / Takahiro Sagawa
| Entropy, divergence, and majorization in classical and quantum thermodynamics / / Takahiro Sagawa |
| Autore | Sagawa Takahiro |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (150 pages) |
| Disciplina | 536.7 |
| Collana | SpringerBriefs in mathematical physics |
| Soggetto topico |
Thermodynamics - Mathematics
Thermodynamics Quantum theory |
| ISBN |
9789811666445
9789811666438 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNISA-996466837003316 |
Sagawa Takahiro
|
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| Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Entropy, divergence, and majorization in classical and quantum thermodynamics / / Takahiro Sagawa
| Entropy, divergence, and majorization in classical and quantum thermodynamics / / Takahiro Sagawa |
| Autore | Sagawa Takahiro |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (150 pages) |
| Disciplina | 536.7 |
| Collana | SpringerBriefs in mathematical physics |
| Soggetto topico |
Thermodynamics - Mathematics
Thermodynamics Quantum theory |
| ISBN |
981-16-6644-X
981-16-6643-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNINA-9910743340203321 |
|
Sagawa Takahiro
|
||
| Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Entropy, divergence, and majorization in classical and quantum thermodynamics / / Takahiro Sagawa
| Entropy, divergence, and majorization in classical and quantum thermodynamics / / Takahiro Sagawa |
| Autore | Sagawa Takahiro |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (150 pages) |
| Disciplina | 536.7 |
| Collana | SpringerBriefs in mathematical physics |
| Soggetto topico |
Thermodynamics - Mathematics
Thermodynamics Quantum theory |
| ISBN |
981-16-6644-X
981-16-6643-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNISA-996549469003316 |
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Sagawa Takahiro
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||
| Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Thermodynamics of information processing in small systems : doctoral thesis accepted by the University of Tokyo, Japan / / Takahiro Sagawa
| Thermodynamics of information processing in small systems : doctoral thesis accepted by the University of Tokyo, Japan / / Takahiro Sagawa |
| Autore | Sagawa Takahiro |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, : Springer, 2013 |
| Descrizione fisica | 1 online resource (125 p.) |
| Disciplina |
621.402
621.4021 |
| Collana | Springer theses |
| Soggetto topico | Thermodynamics |
| ISBN |
1-283-63303-5
9786613945488 4-431-54168-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Review of Maxwell’s Demon -- Classical Dynamics, Measurement, and Information -- Quantum Dynamics, Measurement, and Information -- Unitary Proof of the Second Law of Thermodynamics -- Second Law with Feedback Control -- Thermodynamics of Memories -- Stochastic Thermodynamics -- Nonequilibrium Equalities with Feedback Control.-Conclusions. |
| Record Nr. | UNINA-9910438118403321 |
|
Sagawa Takahiro
|
||
| New York, : Springer, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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