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-Jamiołkowski 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