Quantum Information Theory
Lecture: Friday 12:20–13:50 in K334KA.
Practicals: Friday 14:00–14:45 in K334KA.
What we did
| date | content | quiz | problems | solutions |
|---|---|---|---|---|
| 03.10.2025 | Quantum states: Density matrix, quantum state, Bloch ball, positive operator valued measure (POVM). [1.1–1.4] | Quiz 1 | Problems 1 | Solutions 1 |
| 10.10.2025 | Basis measurement on the Bloch sphere, observables, uncertainty relation. [1.5–1.7] Multiple quantum systems: Tensor products and multuple quantum systems, partial trace, reduced state. [2.1–2.2] | Quiz 2 | Problems 2 | Solutions 2 |
| 17.10.2025 | Purification, Schmidt decomposition, entanglement. [2.3–2.5] Non-local games: basic definitions. [3.1] | |||
| 24.10.2025 | Plan: CHSH game, Mermin-Peris magic square game. | Quiz 3 | Problems 3 | |
| 31.10.2025 | ||||
| 07.11.2025 | ||||
| 14.11.2025 | No lecture. | |||
| 21.11.2025 | ||||
| 28.11.2025 | ||||
| 05.12.2025 | ||||
| 12.12.2025 | ||||
| 19.12.2025 | ||||
| 09.01.2026 |
Literature
Quantum Information Theory
- 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.
Nonlocal Games
- Mathematics of entanglement via nonlocal games by 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.
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.