This lecture gives an introduction to quantum information theory and theory of open quantum systems. The lecture is accompanied by exercises and bi-weekly tutorials.

Topics include:

- Recap of basic quantum mechanics: Postulates, qubit systems, density matrix
- Quantum measurement
- Quantum entanglement
- Schmidt decomposition and purifications
- EPR paradox and Bell inequalities
- Quantum channels
- Distance measures between quantum states
- Classical and quantum entropy
- Quantum thermalization
- Lindblad Master equation

If you want to participate in this lecture, please sign up for the tutorials.

#### Dates and rooms

Lecture Mondays 14:15-16:00 starting on 25.04.2022. Room: Philos.-weg 12 / kHS.

Tutorials biweekly on Tuesdays 14:15-16:00 or Wednesdays 14:15-16:00.

#### Prerequisites

Solid knowledge of quantum mechanics (PEP3+PTP4). Theoretical Quantum Statistics or Introduction to Quantum Science and Technology is very useful.

#### Mode of examination

The grade will be based on a written exam.

#### Literature

- Quantum computation and quantum information by Nielsen and Chuang

Classic textbook. We will focus in the quantum information part. - The Theory of Quantum Information by Watrous

Comprehensive introduction to quantum information theory, rather formal/mathematical, including some more specialized concepts - From Classical to Quantum Shannon Theory by Wilde

Very comprehensive introduction to classical and quantum information theory, focus on coding and data compression, data transmission - Lecture notes of John Preskill (Chapters 1-4 and 10) and corresponding videos