Workshop
Information geometry of quantum relative entropy and some extension
- Hiroshi Nagaoka (The University of Electro-Communications, Tokyo, Japan)
Abstract
The classical relative entropy plays a key role in information geometry as a bridge between the differential-geometrical structure of the space of probability distributions and the large deviation problems in probability theory. Unfortunately, this happy situation breaks down in the quantum setting except for some very restricted aspects. We discuss the problem to be addressed mainly in view of statistical inference of quantum states and show some new directions.
