Advanced Quantum Theory

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

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:

• Nielsen and Chuang: Quantum Computation and Quantum Information(Classic textbook. We will focus in the quantum information part) http://mmrc.amss.cas.cn/tlb/201702/W020170224608149940643.pdf
• Watrous:The Theory of Quantum Information (Comprehensive introduction to quantum information theory, rather formal/mathematical, including some more specialized concepts) https://cs.uwaterloo.ca/~watrous/TQI/
• Wilde:From Classical to Quantum Shannon Theory(Very comprehensive introduction to classical and quantum information theory, focus on coding and data compression, data transmission) https://arxiv.org/abs/1106.1445
• Lecture notes by John Preskill:http://theory.caltech.edu/~preskill/ph219/index.html#lecture(Chapters 1-4 and 10) and corresponding videos: https://www.youtube.com/playlist?list=PL0ojjrEqIyPy-1RRD8cTD_lF1hflo89Iu

The lecture materials will be uploaded here.