Quantum Information Theory

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Physics

Synopsis:

Quantum information theory course from information-theoretic perspective. Course was originally developed by Matthias Christandl.

Requirements:

Syllabus of lectures:

The course is shared between the CTU and Copenhagen University within the framework of the QTEdu Quantum Technology Open pilot project. To complete the course the students are expected to attend the on-line lectures (in real time or the recorded version) by the Andreas Bluhm, and actively participate in the exercise sessions held in person at the CTU.

Outline of the course:

Review of Probability Theory and Classical Information Theory (Random Variables, Shannon Entropy, Coding)

Formalism of Quantum Information Theory (Quantum States, Density Matrices, Quantum Channels, Measurement)

Quantum versus Classical Correlations (Entanglement, Bell inequalities, Tsirelson’s bound)

Basic Tools (Distance Measures, Fidelity, Quantum Entropy)

Basic Results (Quantum Teleportation, Quantum Error Correction, Schumacher Data Compression)

Quantum Resource Theory (Quantum Coding Theory, Entanglement Theory, Application: Quantum Cryptography)

Syllabus of tutorials:

Outline of the exercises: During the exercises we will be reviewing the home work assigned by the remote lecturer.

Study Objective:

Study materials:

Key references:

[1] Lecture notes found at https://kurser.ku.dk/course/nmak14020u

Recommended references:

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

[3] Mark M. Wilde, Quantum Information Theory, Cambridge University Press (2013)

[4] John Watrous, Theory of Quantum Information, lectures notes and book.

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: