Quantum Information Theory

The course illustrates the physical origin of information theory and provides notions of modern quantum mechanics, with emphasis on implementations in atomic and quantum-optical systems. It also illustrates the most recent development of quantum information theory and the possible implementations of new protocols for transmission and manipulation of information.

Students will learn:
1. how to recognize information as a physical resource, with examples where the quantum nature of physical systems improve performances;
2. how to characterize entanglement of bipartite systems;
3. how to characterize nonlocality of physical systems and how to write Bell inequalities;
4. how to apply the notion of quantum estimation theory to find ultimate bound to precision of quantum measurements;
5. how to describe and quantify quantum enhancement in teleportation, dense coding, quantum cryptography and quantum metrology;
6. he/she will able to state the theorems of Naimark, Kraus and Shannon, and will be able to provide a mathematical proof of the first two.