This short course was delivered at the Basque Center for Applied Mathematics in Bilbao, Spain, during November 2024. The primary goal is to briefly introduce the fundamental concepts of information theory, both classical and quantum, and to explore some of its applications.
First Class - Introduction
Second Class - First Shannon coding theorem
Third Class - Second Shannon coding theorem
Fourth Class - Application to classical thermodynamics
Fifth Class - Introduction to quantum information
Sixth Class - Application to quantum thermodynamics
Seventh Class - Classical typicality
Eighth Class - Application to quantum critical systems
Ninth Class - Quantum typicality
Thenth Class - Quantum cryptography