*Instructor:* Prof. Dénes Petz

*Text*: handout (the notes of the lecturer)

*Prerequisite*: Thorough knowledge of linear algebra and
basic knowledge of probability.

**Course description: **We start with Shannon classical theory and
treat elements of classical and quantum information parallel. Data
compression,

quantum teleportation and the capacity of information channels are
the most important subjects. Special emphasis is put on examples and exercises.

**Topics:**

- Shannon's approach to information
- Classical source coding
- Axioms of quantum mechanics
- Transformation of states
- Quantum versus classical information
- Information measures, relative entropy
- Bipartite systems and entanglement
- Quantum teleportation and dense coding
- Capacity of classical channel
- Quantum channels and their different capacities
- Quantum data compression

Outlook: Unsolved problems and quantum algorithms.