15 papers
Scalable quantum simulation of continuous-time generative models via tensor networks
Nathan X. Kodama, L. Andrew Wray, Sam Cochran +3
Continuous-time flow and diffusion models are widely used across many application domains, from large-scale deployment in computer vision and protein folding to emerging adoption f…
Equivariant Continuous Normalizing Flows with Offline Sampling for Fermionic Ground State Estimation
Sam Cochran, James B. Larsen, Andrew Wray +3
We introduce a framework for fermionic variational Monte Carlo (VMC) in which a continuous normalizing flow (CNF) refines a fixed antisymmetric base wavefunction. The flow is imple…
A convergent finite element method for two-phase Stokes flow driven by surface tension
Genming Bai, Harald Garcke, Shravan Veerapaneni
We present the first convergence proof for an iso-parametric finite element discretization of two-phase Stokes flow in , , with interface dynamics go…
A scalable Ewald-free BIE framework for periodic Stokes flow via hierarchical proxy sums
Tianyue Li, Dhairya Malhotra, Shravan Veerapaneni
Particulate Stokes flow in confined, periodic geometries underlies a broad class of problems in biophysics, microfluidics, and the rheology of complex fluids. Boundary integral equ…
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization
Ke Wang, Zikang Jia, Shravan Veerapaneni +1
We develop a pivot-shifted Carleman linearization framework for quantum algorithms solving quadratic nonlinear ordinary differential equations. By shifting the dynamics by a pivot…
Squirmers with arbitrary shape and slip: modeling, simulation, and optimization
Kausik Das, Hai Zhu, Marc Bonnet +1
We consider arbitrary-shaped microswimmers of spherical topology and propose a framework for expressing their slip velocity in terms of tangential basis functions defined on the bo…