We organize the ANR project 2022 workshop on free probabilities and quantum information on Monday 10th and Tuesday 11th of October 2022 at the ENS (Paris).

The program is detailed below.

**Monday****October**10 – morning (Room L369 of the Physics department)- 10h00-11h00 Philippe BIANE:
*Introduction to Free Probability (I)* - 11h15-12h15 Philippe BIANE:
*Introduction to Free Probability (II)*

- 10h00-11h00 Philippe BIANE:
**Monday****October****10 – afternoon (Room L369 of the Physics department)**- 14h30-15h30 Volodia KAZAKOV:
*Bootstrap for Matrix Models and Lattice Yang-Mills Theory* - 15h45-16h45 Silvia PAPPALARDI:
*Eigenstate Thermalization Hypothesis and Free Probability*

- 14h30-15h30 Volodia KAZAKOV:
**Tuesday October 11 –****morning****(Bourbaki room of the Department of Mathematics and Applications)**- 10h00-11h00 Ion NECHITA:
*Free Probability and Quantum Information: an Introduction (I)* - 11h15-12h15 Ion NECHITA:
*Free Probability and Quantum Information: an Introduction (II)*

- 10h00-11h00 Ion NECHITA:
**Tuesday October 11 –****afternoon****(Room L357 of the Physics department)**- 14h30-15h30 Alice GUIONNET:
*Free Probability and Random Matrix Theory* - 15h45-16h45 Ludwig HRUZA:
*QSSEP and Free Probability – the result of smoothening over microscopic degrees of freedom*

- 14h30-15h30 Alice GUIONNET: