Quantum information theory
NMMB537
Lecture: Wednesday 9:00–10:30 in K432KDM.
Tutorials: Wednesday 10:40–11:25 in K432KDM.
What we did
| date | content | tutorials | problems |
|---|---|---|---|
| 01.10. | Sheet 1 | ||
| 08.10. | Sheet 2 | ||
| 15.10. | |||
| 22.10. | |||
| 29.10. | |||
| 05.11. | |||
| 12.11. | |||
| 19.11. | |||
| 26.11. | |||
| 03.12. | |||
| 10.12. | |||
| 17.12. | |||
| 07.01. |
Literature
General quantum information theory resources
- Quantum Information by Štepán Holub at MFF UK that can be considered a prequel to this course.
- Understanding Quantum Information and Computation by John Watrous.
- The Theory of Quantum Information by John Watrous; quite encyclopedic, does not use the Dirac notation.
- Advanced topics in quantum information theory, a course by John Watrous, also accompanied by a YouTube playlist.
- Symmetry and Quantum Information, a course by Michael Walter at The Ruhr University Bochum about applications of representation theory in quantum information.
- Introduction to Quantum Information Processing, a course by Richard Cleve at University of Waterloo.
- Mathematics of Quantum Information, a course by William Slofstra at University of Waterloo.
Non-local games and quantum foundations
- Mathematics of entanglement via nonlocal games by Thomas Vidick; gives an overview of the recent landmark result \(\mathsf{MIP}^* = \mathsf{RE}\).
- Games and Algebras by Sam Harris and Vern Paulsen. A great survey of the theory of nonlocal games and how they induce algebras.
- Entanglement and Nonlocal Effects, a course by Richard Cleve at University of Waterloo.
- On the Einstein Podolsky Rosen Paradox, the original paper by Bell.
- Hidden variables and the two theorerns of John Bell, a very readable paper by Mermin.
- A simple demonstration of Bell’s theorem involving two observers and no probabilities or inequalities, a paper by Aravind that was first to reformulate Bell’s inequalities in terms of games.
- Kochen-Specker contextuality, a more modern survey about Kochen-Specker contextuality, including some applications in quantum cryptography and quantum computing.
Self-testing
- Self-testing of quantum systems: a review, very nice survey of self-testing. Should be understandable after the first three chapters of this course.
Quantum Computing
- Quantum Computing: Lecture Notes by Ronald de Wolf.
Quantum Mechanics
- Quantum Mechanics by Leonard Susskind; a part of his “The theoretical minimum” series written for non-physicits with a solid mathematical background, it reads really well.