Quantum Thermodynamics: An Introduction to the Thermodynamics of Quantum Information

✍ Scribed by Sebastian Deffner, Steve Campbell

• Publisher: IOP Publishing
• Year: 2019
• Tongue: English
• Leaves: 132
• Series: IOP Concise Physics
• Category: Library

✦ Synopsis

This book provides an introduction to the emerging field of quantum thermodynamics, with particular focus on its relation to quantum information and its implications for quantum computers and next generation quantum technologies.

The text, aimed at graduate level physics students with a working knowledge of quantum mechanics and statistical physics, provides a brief overview of the development of classical thermodynamics and its quantum formulation in Chapter 1. Chapter 2 then explores typical thermodynamic settings, such as cycles and work extraction protocols, when the working material is genuinely quantum. Finally, Chapter 3 explores the thermodynamics of quantum information processing and introduces the reader to some more state of-the-art topics in this exciting and rapidly developing research field.

✦ Table of Contents

PRELIMS.pdf
Preface
References
Acknowledgments
Author biographies
Sebastian Deffner
Steve Campbell
CH001.pdf
Chapter 1 The principles of modern thermodynamics
1.1 A phenomenological theory of heat and work
1.1.1 The five laws of thermodynamics
1.1.2 Finite-time thermodynamics and endoreversibility
1.2 The advent of Stochastic Thermodynamics
1.2.1 Microscopic dynamics
1.2.2 Stochastic energetics
1.2.3 Jarzynski equality and Crooks theorem
1.3 Foundations of statistical physics from quantum entanglement
1.3.1 Entanglement assisted invariance
1.3.2 Microcanonical state from envariance
1.3.3 Canonical state from quantum envariance
1.4 Work, heat, and entropy production
1.4.1 Quantum work and quantum heat
1.4.2 Quantum entropy production
1.4.3 Two-time energy measurement approach
1.4.4 Quantum fluctuation theorem for arbitrary observables
1.4.5 Quantum entropy production in phase space
1.5 Checklist for ‘The principles of modern thermodynamics’
1.6 Problems
A phenomenological theory of heat and work (section 1.1)
The advent of stochastic thermodynamics (section 1.2)
Foundations of statistical physics from quantum entanglement (section 1.3)
Work, quantum heat, and quantum entropy production (section 1.4)
References
CH002.pdf
Chapter 2 Thermodynamics of quantum systems
2.1 Quantum thermometry
2.1.1 Thermometry for harmonic spectra
2.1.2 Optimal thermometers
2.2 Quantum heat engines—engines with atomic working fluids
2.2.1 The Otto cycle: classical to quantum formulation
2.2.2 A two-level Otto cycle
2.2.3 Endoreversible Otto cycle
2.3 Work extraction from quantum systems
2.3.1 Work extraction from arrays of quantum batteries
2.3.2 Powerful charging of quantum batteries
2.4 Quantum decoherence and the tale of quantum Darwinism
2.4.1 Work, heat, and entropy production for dynamical semigroups
2.4.2 Entropy production as correlation
2.4.3 Quantum Darwinism: emergence of classical objectivity
2.5 Checklist for ‘Thermodynamics of quantum systems’
2.6 Problems
Quantum thermometry (section 2.1)
Quantum heat engines—engines with atomic working fluids (section 2.2)
Work extraction from quantum systems (section 2.3)
Quantum decoherence and the tale of quantum Darwinism (section 2.4)
References
CH003.pdf
Chapter 3 Thermodynamics of quantum information
3.1 Quantum thermodynamics of information
3.1.1 Thermodynamics of classical information processing
3.1.2 A quantum sharpening of Landauer’s bound
3.1.3 New Landauer bounds for nonequilibrium quantum systems
3.2 Performance diagnostics of quantum annealers
3.2.1 Fluctuation theorem for quantum annealers
3.2.2 Experimental test on the D-Wave machine
3.3 Kibble–Zurek scaling of irreversible entropy
3.3.1 Fundamentals of the Kibble–Zurek mechanism
3.3.2 Example: the Landau–Zener model
3.3.3 Kibble–Zurek mechanism and entropy production
3.4 Error correction in adiabatic quantum computers
3.4.1 Quantum error correction in quantum annealers
3.4.2 Adiabatic quantum computing—a case for shortcuts to adiabaticity
3.4.3 Counterdiabatic Hamiltonian for scale-invariant driving
3.5 Checklist for ‘Thermodynamics of quantum information’
3.6 Problems
Quantum thermodynamics of information (section 3.1)
Performance diagnostics of quantum annealers (section 3.2)
Kibble–Zurek scaling of irreversible entropy (section 3.3)
Error correction in adiabatic quantum computers (section 3.4)
References