Quantum information theory (Vorlesung)
| Lecturer (assistant) | |
|---|---|
| Number | 0000004708 |
| Type | lecture |
| Duration | 2 SWS |
| Term | Winter semester 2022/23 |
| Language of instruction | English |
| Position within curricula | See TUMonline |
| Dates | See TUMonline |
Dates
Admission information
Description
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.
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.
Prerequisites
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
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
Teaching and learning methods
online class