Information geometry and its many faces

Noviembre 25, 2024
De 3:00pm hasta 4:30pm

IFT Seminar Room/Red Room

Theoretical Physics, general interest
Speaker: 
Matteo Scandi
Institution: 
IFT
Location&Place: 

IFT Seminar Room/Red Room

Abstract: 

In the last fifty years, information theory has become a central tool in the description of the physical world, proving to be both useful and fundamental in the comprehension of quantum phenomena. In this context, it is important to understand how to quantify the information content of a statistical distribution. In this talk, after a brief introduction about the most common ways of doing so, we will focus on a particular universal aspect of information quantifiers: locally they are all described by the same family of metrics, called the Fisher information. Thanks to this fundamental property, Fisher information is a ubiquitous quantity, naturally appearing in fields ranging from hypothesis testing to metrology, passing through thermodynamics. We will demonstrate a new and foundational aspect: its intimately dynamical nature. In fact, we will show how the Fisher information can be used to single out the class of physical evolutions among all possible linear maps.