Quantum information combines quantum physics and information theory, leading to a conceptual shift in both disciplines. By implementing quantum protocols in physical systems and reformulating quantum physics in terms of information and logical operations, we gain powerful tools to investigate the distinctive features of quantum mechanics - such as its divergence from classical physics and the nature of the quantum-to-classical transition.

The aim of the course is to present some advanced theoretical tools in quantum mechanics with an emphasis on open-system dynamics, scattering theory and many-body physics.

In this class, we will explore how the concepts of statistical physics can prove useful to tackle main theoretical questions in machine learning and how the recent progress in generative AI can assist statistical physics computations. We will describe analytical approaches as well as numerical approaches at this intersection. We will present the methods of statistical physics and high-dimensional probability which play a central role in these recent and new research activities, and also make an incursion in some other interdisciplinary applications (biological neural networks and theoretical ecology). 

Some TDs will illustrate the lecture’s topic by analytical computations, others by numerical implementations in python and pytorch.

Wednesday afternoon: Lecture 2pm-3.45pm + TD 4-5:30pm  

This course will explore how living systems make use of circuits and networks to process information from neuroscience to synthetic biology.

The goal of this course is to better understand how interfaces instabilities can affect morphogenesis. 

Statistical machine learning is a growing discipline at the intersection of computer science and applied mathematics (probability / statistics, optimization, etc.) and which increasingly plays an important role in many other scientific disciplines. 

The goal of this course is to introduce string theory. 

Statistical physics is witnessing a revolution : understanding the dynamics of a very large number of interactive degrees of freedom, which has been from the beginning the main aim of statistical physics, has become now a central problem in many fields such as physics, biology, computer science, just to cite a few.