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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 | ||
| ||
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 |
|
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 [[electronic resource] /] / by Takahiro Sagawa
| Thermodynamics of Information Processing in Small Systems [[electronic resource] /] / by Takahiro Sagawa |
| Autore | Sagawa Takahiro |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Tokyo : , : Springer Japan : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (125 p.) |
| Disciplina |
621.402
621.4021 |
| Collana | Springer Theses, Recognizing Outstanding Ph.D. Research |
| Soggetto topico |
Thermodynamics
Quantum computers Spintronics Statistical physics Dynamical systems Physics Nanoscale science Nanoscience Nanostructures Quantum Information Technology, Spintronics Complex Systems Mathematical Methods in Physics Nanoscale Science and Technology Statistical Physics and Dynamical Systems |
| 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
|
||
| Tokyo : , : Springer Japan : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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