50 citations · 85 across the 11 of their papers we have counts for
12 papers
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…
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…
Thermal expectation estimation via single-trajectory Gibbs sampling with non-destructive measurements
Hongrui Chen, Jiaqing Jiang, Bowen Li +1
Estimating thermal expectation values of quantum many-body systems is a central challenge in physics, chemistry, and materials science. Standard quantum Gibbs sampling protocols ad…
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…
Observation of quantum superposition of topological defects in a trapped ion quantum simulator
Zhijie Cheng, Yukai Wu, Shijiao Li +8
Topological defects are discontinuities of a system protected by global properties, with wide applications in mathematics and physics. While previous experimental studies mostly fo…
Polynomial-Time Preparation of Low-Temperature Gibbs States for 2D Toric Code
Zhiyan Ding, Zeph Landau, Bowen Li +2
We propose a polynomial-time algorithm for preparing the Gibbs state of the two-dimensional toric code Hamiltonian at any temperature, starting from any initial condition, signific…
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…
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…
Efficient quantum Gibbs samplers with Kubo--Martin--Schwinger detailed balance condition
Zhiyan Ding, Bowen Li, Lin Lin
Lindblad dynamics and other open-system dynamics provide a promising path towards efficient Gibbs sampling on quantum computers. In these proposals, the Lindbladian is obtained via…
Interpolation between modified logarithmic Sobolev and Poincare inequalities for quantum Markovian dynamics
Bowen Li, Jianfeng Lu
We define the quantum -divergences and introduce Beckner's inequalities for primitive quantum Markov semigroups on a finite-dimensional matrix algebra satisfying the detailed ba…
Experimental Realization of the Rabi-Hubbard Model with Trapped Ions
Quanxin Mei, Bowen Li, Yukai Wu +5
Quantum simulation provides important tools in studying strongly correlated many-body systems with controllable parameters. As a hybrid of two fundamental models in quantum optics…