Advanced Quantum Theory

summer term 2022
Lecturer: PD Dr. Martin Gärttner
Link to LSF
64 participants
   <register>

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.

Exercise sheets

Practice groups

  • Group 1 (Niklas Euler)
    24 participants   Maximum number of participants reached
    INF 227 / SR 3.403, Tue 14:15 - 16:00
  • Group 2 (Adrian Aasen)
    40 participants   Maximum number of participants reached
    Philos.-weg 12 / kHS, Wed 14:15 - 16:00
 
up
Advanced Quantum Theory
summer term 2022
Gärttner
Link zum LSF
64 participants
   <register>
calendar