Quantum Information and Communication

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Code	Completion	Credits	Range
02KIKO	Z,ZK	4

Course guarantor:

Lecturer:

Tutor:

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 (Shors and Grovers), 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:

Quantum mechanics 1, 2

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. Shors factorization, quantum Fourier transformation

6. Grovers 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:

Solving problems to illustrate the theory from the lecture.

Study Objective:

Knowledge:

Basic tools and concepts of quantum information processing and quantum communication

Skills:

apply the acquired knowledge to simple problems

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

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

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: