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Quantum Information Theory

Module EI76471

This Module is offered by TUM Department of Electrical and Computer Engineering.

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Basic Information

EI76471 is a semester module in English language at Master’s level which is offered every semester.

This Module is included in the following catalogues within the study programs in physics.

  • Focus Area Theoretical Quantum Science & Technology in M.Sc. Quantum Science & Technology
  • Further Modules from Other Disciplines
Total workloadContact hoursCredits (ECTS)
150 h 60 h 5 CP

Content, Learning Outcome and Preconditions


Over the last decades, the theoretical possibility of transmission and storage of data using quantum mechanical properties of physical systems created whole areas of theoretical as well experimental research.
The present module aims to introduce to mathematical modelling of Quantum communication systems in spirit of Shannon's conception of information theory.
Regarding the choice of topics treated as well as the methodological approach pursued, the module is intended as a continuation of the corresponding modules covering classical information theory .
Topics covered in the lecture are
- mathematical and conceptual basics of the description of quantum systems with finite degrees of freedom.
- Quantum hypothesis testing, Quantum Stein's Lemma
- Source coding for memoryless quantum sources
- Coding Theorems for classical message transmission over quantum and classical-quantum memoryless channels.
- Selected advanced topics covering topics such as information-theoretic security for quantum channels and sources, entanglement theory, optimal protocols for generation of classical and quantum communication resources.

Learning Outcome

Having successfully accomplished the module, students have basic expertise regarding the mathematical and conceptual methods to describe memoryless semi-classical quantum and quantum communication scenaria. They know the most prominent basic scenaria and the correspoding coding theorem as well as general and special strategies for proving them.


Interest in mathematical modelling,
basic knowledge of linear algebra,
basic knowledge of classical information theory,

Combination with at least one of the following related modules is recommended
„EI7431 – Information Theory“,
„EI7344 – Informationstheoretische Grundlagen der Informationsforensik und biometrische Sicherheit“,
„EI7345 - Informationstheoretische Sicherheit“,
„EI7353 - Multi-User Information Theory"

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

Learning and Teaching Methods

During the lecture and by means of a blackboard presentation, the mathematical/theoretical
methods to describe semi-classical and quantum mechanical systems are presented and fundamental coding theorems are proved in detail.

In the exercise classes, the students will solve independently and with the aid of the instructor problems from exercise sheets. Therein, the learned proof techniques should be applied to derive and to prove coding theorems for specific communication scenario.


blackboard presentation
exercise sheets


M. M. Wilde, "Quantum Information Theory", Cambridge University Press, 2012

T. Heinosaari, M. Ziman, „The Mathematical Language of Quantum Theory – From Uncertainty to Entanglement“, Cambridge University Press, 2012

I. Csiszar, J. Körner, „Information Theory – Coding Theorems for Discrete Memoryless Systems“, 2nd Ed., Cambridge University Press, 2011"

Module Exam

Description of exams and course work

Succesful attendance of the module is assessed via oral exams. The student should prove his/her understanding of basic conceptual and mathematical aspects of the Shannon-theoretic description of quantum communication systems.
In addition, the student should know the communication scenaria and relevant results regarding their abilities presented in the course, such that he/she is able to reflect them.
Supporting materials are not allowed within the exams.

Exam Repetition

There is a possibility to take the exam in the following semester.

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