Quantum Information Science

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