Summer school on Stochastic Quantum Evolutions

July 4, 2022 - July 8, 2022
This summer school aims at gathering mathematicians, physicists and computer scientists interested in stochastic methods in quantum mechanics.

Several introductory lectures will be given by leading researchers in the field. The topics covered include quantum machine learning, correlations in device-independent scenarios, quantum trajectories and feedback, random unitary circuits, and quantum cellular automata. The lectures shall be complemented by additional, more focused, research talks. Young researchers as well as confirmed researchers are welcome to participate. Poster sessions for Phd and post-doctoral students will be organized during the week.

Ample time for discussion and exchanges will be set aside, allowing for an interactive and inclusive in-person event.


Registrations are open! DEADLINE: April 30th 2022.

There are conference fees, which cover local expenses (full board accommodation), as follows:

  • Masters and PhD students, postdocs: 300 EUR
  • Faculty and industry participants: 450 EUR

We can cover these fees for a certain number of young participants who apply for funding when registering.  After the registration deadline, non-funded accepted participants will be asked to pay the corresponding fee. 


Antonio Acin (ICFO Barcelona)  - Correlations in physical theories and the device-independent scenario for quantum information processing
Vedran Dunjko (Leiden University) - TBA

Hachem Kadri (Aix-Marseille University) -  From Classical to Quantum Machine Learning
This course is an introduction to the field of quantum machine learning. The course begins with a general overview of the fundamental notions and practical applications of classical machine learning, with a particular focus on the most common machine learning algorithms. It then introduces the main concepts of quantum machine learning and provides an overall picture of the field. To illustrate these concepts with concrete examples, quantum versions of the perceptron and the linear regression algorithms are examined.

Adam Nahum (École Normale Supérieure) - Random quantum circuits
I will give an introduction to random quantum circuits as simple models for time-evolution in many-body systems. I will emphasise mappings of dynamical observables (involving for example two-point correlations, or entanglement entropy) to effective classical stat mech problems involving random paths. I will also describe how sufficiently strong monitoring by an external observer leads to a measurement-induced phase transition in the entanglement structure of the many-body state.

Lorenzo Piroli (École Normale Supérieure) - Quantum Cellular Automata
In these lectures we will introduce and discuss Quantum Cellular Automata. We will go through their definition and some fundamental results regarding their structure. Finally, we will focus on the simplest case of one-dimensional systems and discuss the corresponding index theory.

Pierre Rouchon (Mines ParisTech)  - Quantum Trajectories and feedback stabilisation
Quantum control is an emerging research subject with an increasing role in technologies related to high precision metrology, quantum simulation, quantum information processing and communication. Its development requires to reconsider how measurement, control, and interactions fundamentally affect a system — in particular, the intrinsic invasive character of measurements. This 6-hour course presents some mathematical methods for modeling and feedback stabilization of open quantum systems. The level will be that of a graduate course intended for a general control or applied-mathematics audience without any prerequisites in quantum mechanics. 


  • Denis Bernard (CNRS, ENS)
  • Cecilia Lancien (CNRS, U Grenoble Alpes)
  • Ion Nechita (CNRS, U Toulouse III)
  • Clément Pellegrini (U Toulouse III)
  • Denis Rochette (U Toulouse III)


To contact the organizers, send an email to

Published on  February 17, 2022
Updated on  February 17, 2022