Quantum Information Theory
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.
EI76471 is a semester module in English language at Bachelor’s level which is offered every semester.
This Module is included in the following catalogues within the study programs in physics.
- Further Modules from Other Disciplines
|Total workload||Contact hours||Credits (ECTS)|
|150 h||60 h||5 CP|
Content, Learning Outcome and Preconditions
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.
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
|VO||2||Quantum information theory||
Mon, 09:45–11:15, N4410
|UE||2||Quantum information theory||
Tue, 11:30–13:00, N4410
Learning and Teaching Methods
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.
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"
Description of exams and course work
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.
There is a possibility to take the exam in the following semester.