6 papers
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…
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…
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…
A Randomized Method for Simulating Lindblad Equations and Thermal State Preparation
Hongrui Chen, Bowen Li, Jianfeng Lu +1
We study a qDRIFT-type randomized method to simulate Lindblad dynamics by decomposing its generator into an ensemble of Lindbladians, $\mathcal{L} = \sum_{a \in \mathcal{A}} \mathc…
Speeding up quantum Markov processes through lifting
Bowen Li, Jianfeng Lu
We generalize the concept of non-reversible lifts for reversible diffusion processes initiated by Eberle and Lorler (2024) to quantum Markov dynamics. The lifting operation, which…
Quantum space-time Poincaré inequality for Lindblad dynamics
Bowen Li, Jianfeng Lu
We investigate the mixing properties of primitive Markovian Lindblad dynamics (i.e., quantum Markov semigroups), where the detailed balance is disrupted by a coherent drift term. I…