Quantum lattice Boltzmann method for several time steps: A local Carleman linearization algorithm
Quantum Physics
2026-03-16 v3
Abstract
This article presents a novel encoding for quantum Lattice Boltzmann method algorithm using Carleman linearization. In contrast to previous articles \cite{Sanavio2024LatticeBC,sanavio2025carleman}, the encoding used allows for local collision rules while keeping a higher probability to obtain the right result, which is of the order of . The algorithm scales as each time step with the number of lattice sites of the 2D lattice and the number of channels with a constant number of qubits when using dynamical circuits.
Cite
@article{arxiv.2511.13072,
title = {Quantum lattice Boltzmann method for several time steps: A local Carleman linearization algorithm},
author = {Antonio David Bastida Zamora and Ljubomir Budinski and Valtteri Lahtinen and Pierre Sagaut},
journal= {arXiv preprint arXiv:2511.13072},
year = {2026}
}
Comments
14 pages, 14 figures