Three lectures on complexity and black holes

Three lectures on complexity and black holes / Leonard Susskind.

These three lectures cover a certain aspect of complexity and black holes, namely the relation to the second law of thermodynamics. The first lecture describes the meaning of quantum complexity, the analogy between entropy and complexity, and the second law of complexity. Lecture two reviews the con...

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Bibliographic Details
Main Author: Susskind, Leonard
Format: eBook
Language:English
Published: Cham : Springer, 2020.
Series:SpringerBriefs in physics.
Subjects:
Black holes (Astronomy)
Thermodynamics.
Quantum theory.
thermodynamics.
Quantum theory
Thermodynamics
Online Access:Click for online access
Table of Contents:
  • Intro
  • About This Book
  • Contents
  • Part I Lecture I: Hilbert Space is Huge
  • 1 Introduction
  • 2 How Huge?
  • 3 Volume of CP(N)
  • 4 Relative Complexity
  • 5 Dual Role of Unitaries
  • 6 Volume of SU(2K)
  • 7 Exploring SU(2K)
  • 7.1 Relative Complexity of Unitaries
  • 7.2 Complexity is Discontinuous
  • 8 Graph Theory Perspective
  • 8.1 Collisions and Loops
  • 9 The Second Law of Quantum Complexity
  • 9.1 Hamiltonian Evolution
  • Part II Lecture II: Black Holes and the Second Law of Complexity
  • 10 Introduction
  • 11 The Black Hole-Quantum Circuit Correspondence
  • 11.1 Two Problems
  • 11.2 Circuits and Black Holes
  • 12 The Growth of Wormholes
  • 12.1 Properties of Growth
  • 12.2 Rindler Time and CV
  • 13 Exponential Time Breakdown of GR
  • 13.1 C = V
  • 14 Precursors
  • 14.1 The Epidemic Model
  • 14.2 Lyapunov and Rindler
  • 14.3 Back to Size and Complexity
  • 15 Precursors and Black Holes
  • 15.1 Instability of White Holes
  • 16 Complexity and Firewalls
  • 16.1 Firewalls are Fragile
  • 16.2 What Happens After Exponential Time?
  • 16.3 The Fragility of Complexity Equilibrium
  • 17 Do Typical States Have Firewalls?
  • 17.1 AdS Black Holes
  • 17.2 Evaporating Black Holes
  • Part III Lecture III: The Thermodynamics of Complexity
  • 18 Introduction
  • 19 Negentropy
  • 20 Uncomplexity
  • 20.1 The Auxiliary System
  • 20.2 Combining Auxiliary Systems
  • 21 Uncomplexity as a Resource
  • 22 The Power of One Clean Qubit
  • 22.1 The Protocol
  • 22.2 Expending Uncomplexity and Negentropy
  • 23 Spacetime and Uncomplexity
  • 23.1 CA
  • 23.2 Geometric Interpretation of Uncomplexity
  • Appendix Appendix Conclusion

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