AG Mathematische Physik: Ian Koot (FAU): Relative Entropy and the (Quantum) Method of Types

Ian Koot (FAU)

Relative Entropy and the (Quantum) Method of Types

Abstract:
The Method of Types is a set of results in probability theory and information
theory that connect (relative) entropy to the probabilities of outcomes in
repeated measurement. There does not seem to exist a noncommutative
generalization of the Method of Types, even though some results and concepts
have noncommutative versions. We give an overview of the Method of Types,
emphasizing the role that (relative) entropy plays in it, and discuss
possibilities and obstacles in trying to generalize the method to the
noncommutative setting. The aim is to get a better understanding of (relative)
entropy, in the commutative setting but especially in the noncommutative setting.