Tristan Benoist, CNRS РUniversit̩ de Toulouse
- 04/11/2025 16:00h, Sala Consiglio, VII piano
- 05/11/2025 16:00h, Sala Consiglio, VII piano
In these 4 hours, I will introduce the main results in the theory of quantum repeated measurements.
Given the background and allowed time, I discuss the following topics.
1- Quantum Instruments and repeated quantum measurements dynamical system definitions
2- Quantum channel Perron-Frobenius theorem, ergodicity and mixing of the dynamical system
3- Limit theorems through the spectral and martingale approximation methods
4- Large deviation principle and hypothesis testing
5- Quantum trajectories, purification and limit theorems