This course introduces the fundamental concepts of quantum communication and computing. Starting from an experimental basis, we will motivate why the classical theory of probability is not able to model certain real physical systems. We will present a generalization of the concept of probability that allows us to model these experiments, as well as their (unexpected) consequences. Among the applications in communications are quantum cryptography, the use of quantum entanglement and the teleportation protocol. We will study the underlying principles of quantum computers and we will learn to program them exploiting the quantum parallelism. Finally, the current state and the future perspectives of quantum technology will be discussed.
Some of the specific objectives are to:
- Understand the fundamental differences between classical and quantum probability theories.
- Describe mathematically a quantum state of a single qubit and that of several qubits.
- Know and use the axioms that govern the evolution and measurement of a quantum state.
- Model and analyze simple quantum communication channels and their cryptographic guarantees.
- Implement and analyze a quantum computing algorithm.