Quantum Information and Communication

Course guarantor:

Martin Štefaňák

Lecturer:

Aurél Gábor Gábris

Tutor:

Aurél Gábor Gábris, Matěj Vaculčiak

Supervisor:

Department of Physics

Synopsis:

Quantum theory brought new ideas to the theory of information leading which ultimately lead to the theory of quantum information, computation and communication. The lecture introduces the basic concepts of quantum information e.g. quantum algorithms (Shor’s and Grover’s), entanglement, quantum teleportation, quantum cryptography and quantum error correction. It also provides an introduction to modern parts of quantum information, e.g. measurement-based and adiabatic quantum computation and quantum walks.

Requirements:

Syllabus of lectures:

1. Qubit, Bloch sphere, von Neumann entropy

2. Quantum correlations, entanglement and its measures, reduced density operator

3. Quantum teleportation, quantum key distribution

4. Quantum gates and circuits, Deutsch algorithm, universal quantum gates

5. Shor’s factorization, quantum Fourier transformation

6. Grover’s search algorithm

7. Quantum operations, decoherence, POVM measurements

8. Quantum state discrimination

9. Quantum error correction

10. Measurement-based and adiabatic quantum computation

11. Realizations of quantum computing

12. Quantum walks

Syllabus of tutorials:

Outline of the exercises:

Solving problems to illustrate the theory from the lecture.

Study Objective:

Study materials:

Key references:

[1] M. A. Nielsen, I. L. Chuang, Quantum computation and quantum information, Cambridge Univ. Press, 2013.

[2] J. A. A. Bergou, M. Hillery, Introduction to the Theory of Quantum Information Processing, Springer, 2015.

Recommended references:

[3] M. Dušek, Koncepční otázky kvantové teorie, Olomouc, 2002. (in Czech)

[4] G. Alber, Quantum Information, Springer, Berlin 2002.

[5] D. Bruss, G. Leuchs, Lectures on Quantum Information, Wiley-VCH, Weinheim, 2007.

Note:

Time-table for winter semester 2024/2025:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue	roomBR:11 Gábris A. 08:00–09:50 (lecture parallel1) Břehová 7 roomBR:11 Gábris A. 10:00–11:50 (parallel nr.101) Břehová 7
Wed
Thu
Fri

Time-table for summer semester 2024/2025:

Time-table is not available yet

The course is a part of the following study plans:

• Fyzikální elektronika - Fotonika (elective course)
• Matematická fyzika (elective course)
• Matematické inženýrství (elective course)
• Fyzikální elektronika - Počítačová fyzika (elective course)
• Kvantové technologie (compulsory course in the program)