Lectures and Exercises: H. Chau Nguyen (email)
Time and place: 14:00-16:00 Wednesday, Room D115-ENC.
Prerequisites
- Basic intuitive knowledge of quantum mechanics
- Basic concepts of general algebra and linear algebra
Contents
- Classical and quantum systems: observables and states
- Definition of entropy
- The statistical interpretation of entropy
- Quantum processes
- Monotonicity of the relative entropy: the statement and the consequences
- Monotonicity of the relative entropy: lessons from the proof
- Bipartite system: subadditivity, mutual information, conditional entropy
- Application: the classical capacity of communication channels
- Application: thermodynamics entropy and the Landauer’s principle
- Multipartite system: strong subadditivity
Scripts (password required):
- First part (ocassionally updated): quantum-entropy-light.pdf
Exercises: integrated in the classes
References
- Petz, D., “Quantum information theory and quantum statistics”, Springer 2008.
The content is generally good, but one has to be careful with some technical definitions and typos. - Ohya, M. and Petz, D., “Quantum entropy and its use”, Springer 1993.
This is a somewhat advanced version of the above one. The contents are much richer, but also a lot denser. - Nilsen, M. A. and Chuang, I. L. “Quantum computation and quantum information”. Cambridge 2010.
This book is kind of classic. The contents are rich, but the structure is perhaps not optimal. - Cover, T. and Thomas, J. A., “Elements of information theory”, John Wiley & Son 2006.
Classics for information theory: rich, clean, clear.