Float Lattice Gas Automata: A connection between Molecular Dynamics and Lattice Boltzmann Method for quantum computers
Quantum Physics
2025-06-30 v2
Abstract
Building upon the Integer Lattice Gas Automata framework of Blommel \textit{et al.} \cite{PhysRevE.97.023310}, we introduce a simplified, fluctuation-free variant. This approach relies on floating-point numbers and closely mirrors the Lattice Boltzmann Method (LBM), with the key distinction being a novel collision operator. This operator, derived from the ensemble average of transition probabilities, generates nonlinear terms. We propose this new Float Lattice Gas Automata (FLGA) collision as a computationally efficient alternative to traditional and quantum LBM implementations.
Cite
@article{arxiv.2503.23750,
title = {Float Lattice Gas Automata: A connection between Molecular Dynamics and Lattice Boltzmann Method for quantum computers},
author = {Antonio David Bastida Zamora and Ljubomir Budinski and Valtteri Lahtinen and Pierre Sagaut},
journal= {arXiv preprint arXiv:2503.23750},
year = {2025}
}