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Quantum Information Theory
Last Updated: 2026-06-03 00:14:13
Abstract
This course aims to introduce the concepts and methods of quantum information theory. It starts with an introduction to the mathematical theory of quantum systems and then discusses the basic information-theoretic aspects of quantum mechanics. Further topics include using information-theoretic methods to analyse foundational questions in physics.
Objective
By the end of the course, students are able to explain the basic mathematical formalism (e.g. states, channels) and the tools (e.g. entropy, distinguishability) of quantum information theory. They can adapt and apply these concepts and methods to analytically solve quantum information-processing problems.
Content
Mathematical formulation of quantum theory: entanglement, density operators, quantum channels and their representations. Basic tools of quantum information theory: distinguishability of states and channels, formulation as semidefinite programs, entropy and its properties. Applications of the concepts and tools: communication of classical or quantum information over noisy channels, quantitative uncertainty relations, randomness generation, entanglement distillation, security of quantum cryptography.
Resources
Lecture Notes
Distributed via moodle.
Literature
Nielsen and Chuang, Quantum Information and Computation Preskill, Lecture Notes on Quantum Computation Wilde, Quantum Information Theory Watrous, The Theory of Quantum Information
General Information
- Language
- English
- Levels
- BSC , MSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- written 90 minutes
- Aids
- A single double-sided A4 sheet with a self-written summary.
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Quantum Information Theory |
|
2 h weekly |
| exercise | Quantum Information Theory |
|
1 h weekly |
Offered In
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Physics (For the field of specialization `Physics' basic knowledge in quantum mechanics is required.)
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Application Area (Only necessary and eligible for the Master degree in Applied Mathematics. One of the application areas specified must be selected for the category Application Area for the Master degree in Applied Mathematics. At least 8 credits are required in the chosen application area. Credits from other application areas cannot be recognised for further application areas.)
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Core Courses (A minimum of 24 credits must be obtained from core courses during the MSc QE, course selection is subject to the tutor's agreement.)
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Physics Core Courses (These core courses target students with an engineering background and all those who need additional physics foundations.)
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