Quantum algorithm for the lattice Boltzmann method with applications on real quantum devices
Quantum Physics
2026-03-03 v1
Abstract
We introduce a novel quantum algorithm for the lattice Boltzmann method (LBM) based on the one-step simplified LBM. The structure of the algorithm allows for more flexibility in modelling different physics in contrast to earlier quantum algorithms for the LBM, while retaining computational efficiency in terms of the gate and qubit complexity. The new algorithm has potential for full end-to-end quantum utility especially for linear problems. We discuss the implementation of examples in linear acoustics, as well as a nonlinear Navier-Stokes problem that was solved on an IBM QPU in a hybrid simulation loop.
Cite
@article{arxiv.2603.02127,
title = {Quantum algorithm for the lattice Boltzmann method with applications on real quantum devices},
author = {Antonio Bastida-Zamora and Ljubomir Budinski and Oskari Kerppo and Valtteri Lahtinen and Ossi Niemimäki and William Steadman and Roberto Zamora-Zamora and Pierre Sagaut and Vladyslav Bohun and Maciej Koch-Janusz and Illia Lukin},
journal= {arXiv preprint arXiv:2603.02127},
year = {2026}
}
Comments
47 pages, 18 figures