Course Contents:
Part 1: Introductory topics
. Introduction to Quantum mechanics ( states, measurements, evolution, postulates of quantum mechanics, uncertainty relation, no-cloning theorem)
. Quantum entanglement theory ( resource theory of entanglement, multipartite entanglement, mixed state entanglement, entanglement detection/criteria, entanglement measures )
. Quantum channels ( Choi-Jamiolkowski isomorphism, Kraus decomposition, quantum instruments )
. Protocols ( purification, teleportation, quantum key distribution)
. Quantum error correction (stabilizer formalism, CSS codes, bounds on codes)
Part 2: Quantum Shannon Theory
. Distance Measures
. Classical Information and Entropy
. Quantum Information and Entropy
. Entropic inequalities
. The Information of Quantum Channels
Preconditions:
The course is aimed at master's students in computer science, physics, and mathematics and bachelor's students who would like to challenge themselves with advanced topics. The primary prerequisite is elementary linear algebra. Attending the Introduction to QC is a plus but not a strict requirement to take the course.
- Dozent*in: Mariami Gachechiladze