Muutke küpsiste eelistusi

Information Theory: Poincaré Seminar 2018 2021 ed. [Kõva köide]

Edited by , Edited by
  • Formaat: Hardback, 209 pages, kõrgus x laius: 235x155 mm, kaal: 506 g, 56 Illustrations, black and white; XII, 209 p. 56 illus., 1 Hardback
  • Sari: Progress in Mathematical Physics 78
  • Ilmumisaeg: 20-Jul-2021
  • Kirjastus: Springer Nature Switzerland AG
  • ISBN-10: 3030814793
  • ISBN-13: 9783030814793
Teised raamatud teemal:
  • Kõva köide
  • Hind: 122,82 €*
  • * hind on lõplik, st. muud allahindlused enam ei rakendu
  • Tavahind: 144,49 €
  • Säästad 15%
  • Raamatu kohalejõudmiseks kirjastusest kulub orienteeruvalt 2-4 nädalat
  • Kogus:
  • Lisa ostukorvi
  • Tasuta tarne
  • Tellimisaeg 2-4 nädalat
  • Lisa soovinimekirja
Information Theory: Poincaré Seminar 2018 2021 ed.Suurem pilt
  • Formaat: Hardback, 209 pages, kõrgus x laius: 235x155 mm, kaal: 506 g, 56 Illustrations, black and white; XII, 209 p. 56 illus., 1 Hardback
  • Sari: Progress in Mathematical Physics 78
  • Ilmumisaeg: 20-Jul-2021
  • Kirjastus: Springer Nature Switzerland AG
  • ISBN-10: 3030814793
  • ISBN-13: 9783030814793
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9783030814793.html
Märksõnad:
This eighteenth volume in the Poincaré Seminar Series provides a thorough description of Information Theory and some of its most active areas, in particular, its relation to thermodynamics at the nanoscale and the Maxwell Demon, and the emergence of quantum computation and of its counterpart, quantum verification. It also includes two introductory tutorials, one on the fundamental relation between thermodynamics and information theory, and a primer on Shannon's entropy and information theory. The book offers a unique and manifold perspective on recent mathematical and physical developments in this field.
Foreword viii
Thermodynamics and Information Theory
1(48)
Kirone Mallick
Bertrand Duplantier
1 Introduction
1(1)
2 Thermodynamics: A Brief Review
2(14)
3 Equilibrium and Non-equilibrium Dynamics
16(9)
4 The Gallavotti--Cohen Fluctuation Theorem for Markovian Thermodynamics
25(2)
5 Non-equilibrium Work Identities
27(6)
6 Information Theory
33(2)
7 Thermodynamics and Information: The Maxwell Demon
35(5)
8 Conclusion
40(1)
A Large Deviations and Cumulant Generating Functions
41(1)
B Proof of the Jarzynski Formula for Hamiltonian Dynamics
42(2)
References
44(5)
This is IT: A Primer on Shannon's Entropy and Information
49(38)
Olivier Rioul
1 Shannon's Life as a Child
49(1)
2 A Noble Prize Laureate
50(1)
3 Intelligence or Information?
50(1)
4 Probabilistic, not Semantic
50(1)
5 The Celebrated 1948 Paper
51(1)
6 Shannon, not Weaver
52(1)
7 Shannon, not Wiener
53(1)
8 Shannon's Bandwagon
54(1)
9 An Axiomatic Approach to Entropy
54(1)
10 Units of Information
55(1)
11 H or Eta?
56(1)
12 No One Knows What Entropy Really Is
57(1)
13 How Does Entropy Arise Naturally?
58(1)
14 Shannon's Source Coding Theorem
59(1)
15 Continuous Entropy
60(1)
16 Change of Variable in the Entropy
61(1)
17 Discrete vs. Continuous Entropy
61(2)
18 Most Beautiful Equation
63(1)
19 Entropy Power
63(1)
20 A Fundamental Information Inequality
64(1)
21 The MaxEnt Principle
65(1)
22 Relative Entropy or Divergence
66(1)
23 Generalized Entropies and Divergences
67(1)
24 How Does Relative Entropy Arise Naturally?
68(1)
25 Chernoff Information
69(1)
26 Fisher Information
70(2)
27 Kolmogorov Information
72(1)
28 Shannon's Mutual Information
72(2)
29 Conditional Entropy or Equivocation
74(1)
30 Knowledge Reduces Uncertainty -- Mixing Increases Entropy
74(1)
31 A Suggestive Venn Diagram
75(1)
32 Shannon's Channel Coding Theorem
76(2)
33 Shannon's Capacity Formula
78(1)
34 The Entropy Power Inequality and a Saddle Point Property
79(1)
35 MaxEnt vs. MinEnt Principles
80(1)
36 A Simple Proof of the Entropy Power Inequality
80(2)
37 Conclusion
82(1)
References
82(5)
Landauer's Bound and Maxwell's Demon
87(26)
Sergio Ciliberto
1 Introduction
87(4)
2 Experimental Implementations
91(7)
3 Extensions to the Quantum Regime
98(3)
4 Applications
101(1)
A Stochastic thermodynamics and information energy cost
102(4)
B Setup Used in the Exteriment Presented in Section 2.2
106(3)
References
109(4)
Verification of Quantum Computation: An Overview of Existing Approaches
113(90)
Alexandra Gheorghiu
Theodoros Kapourniotis
Elham Kashefi
1 Introduction
113(10)
2 Prepare-and-Send Protocols
123(24)
3 Receive-and-Measure Protocols
147(8)
4 Entanglement-based Protocols
155(26)
5 Outlook
181(5)
6 Conclusions
186(3)
7 Appendix
189(14)
References 203
Bertrand Duplantier and Vincent Rivasseau are Theoretical Physicists who have been 45 years active at CNRS, CEA  and Orsay University, now partners of Paris-Saclay University. 

Together they have founded the Poincaré Seminar in 2001, and published its proceedings in 18 books with Birkhaeuser-Science.