Quantum Resource Theories

Master quantum resource theories from entanglement to thermodynamics with this unifying exploration of quantum information science.

Gilad Gour (Author)

9781009560917, Cambridge University Press

Hardback, published 10 April 2025

833 pages
26 x 18.5 x 5 cm, 1.739 kg

In this original and modern book, the complexities of quantum phenomena and quantum resource theories are meticulously unravelled, from foundational entanglement and thermodynamics to the nuanced realms of asymmetry and beyond. Ideal for those aspiring to grasp the full scope of quantum resources, the text integrates advanced mathematical methods and physical principles within a comprehensive, accessible framework. Including over 760 exercises throughout, to develop and expand key concepts, readers will gain an unrivalled understanding of the topic. With its unique blend of pedagogical depth and cutting-edge research, it not only paves the way for a deep understanding of quantum resource theories but also illuminates the path toward innovative research directions. Providing the latest developments in the field as well as established knowledge within a unified framework, this book will be indispensable to students, educators, and researchers interested in quantum science's profound mysteries and applications.

1. Introductory material
Part I. Preliminaries: 2. Elements of quantum mechanics I: closed systems
3. Elements of quantum mechanics II: open systems
Part II. Tools and Methods: 4. Majorization
5. Divergences and distance measures
6. Entropies and relative entropies
7. Conditional entropy
8. The asymptotic regime
Part III. The General Framework: 9. Static quantum resource theories
10. Quantification of quantum resources
11. Manipulation of resources
Part IV. Entanglement Theory: 12. Pure0state entanglement
13. Mixed-state entanglement
14. Multipartite entanglement
Part V. Additional Examples of Static Resource Theories: 15. The resource theory of asymmetry
16. The resource theory of nonuniformity
17. Quantum thermodynamics
Appendices.

Subject Areas: Quantum physics [quantum mechanics & quantum field theory PHQ]