Vorträge in der Woche 20.07.2026 bis 26.07.2026

Donnerstag, 23.07.2026: Quantum Gibbs sampling in infinite dimensions

Dr. Cambyse Rouzé (INRIA Paris)

Classical Langevin dynamics provides a fundamental route to Gibbs sampling and free energy estimation. For quantum systems described by Schrödinger operators, the analogous problem requires genuinely quantum Gibbs samplers and becomes particularly delicate in infinite dimension, where the Hamiltonians are unbounded and the interactions may be singular. In this talk, we introduce a dissipative approach to Gibbs sampling for such systems, including Coulomb Schrödinger operators arising from molecular models and interacting quantum gases. The generation theory relies on Dirichlet form methods from noncommutative potential theory to construct well-defined quantum Markov semigroups having the desired Gibbs state as their invariant state. We then describe how these dynamics lead to mixing guarantees and quantum algorithmic implementations for free energy estimation and Gibbs state preparation.