This course is an introduction to the theory of quantum communication. We will start with a brief overview of quantum information theory. We will then explore the current state of knowledge in quantum and private communication, including one-shot and asymptotic communication capacities. Finally, we will discuss some topics at the frontiers of quantum communications research, such as second-order asymptotic results for secure key rates in quantum key distribution, and the design of quantum repeater networks for a global-scale quantum internet.

Lecture 1: Introduction to quantum information and quantum communication
- Quantum states: density operators, entanglement
- Measurements: POVM formalism
- Quantum channels: definition and examples
- Quantum hypothesis testing
- Quantum entropies