4 papers · 1 filter
Entropic hypocoercivity via the Polchinski flow: an application to the lattice sine-Gordon model
Bowen Li, Jianfeng Lu
We develop a multiscale criterion for exponential decay of relative entropy in the canonical stochastic quantization of lattice field theories, the underdamped Langevin dynamics of…
Space-Time Log-Sobolev Inequality and Hypocoercive Hypercontractivity for Underdamped Langevin Dynamics
Bowen Li, Jianfeng Lu
We study hypercontractivity for underdamped Langevin dynamics with a convex confining potential whose spatial Gibbs marginal satisfies a logarithmic Sobolev inequality (LSI). Unlik…
Quantum Gibbs sampling through the detectability lemma
Di Fang, Jianfeng Lu, Yu Tong +1
Gibbs state preparation is an important subroutine in quantum computing. In this work we use the detectability lemma to improve Gibbs state preparation. Specifically, we design new…
Sharp hypocoercive convergence estimates for underdamped Langevin dynamics via the modified method
Zexi Fan, Bowen Li, Jianfeng Lu
In this note, we consider the underdamped Langevin dynamics with invariant measure . Assume that th…