Lattice gas automata with floating-point numbers: A connection between molecular dynamics and lattice Boltzmann method for quantum computers
Phys. Rev. E 112, 015305 – Published 23 July, 2025
DOI: https://doi.org/10.1103/5bby-34zx
Abstract
Building upon the Integer Lattice Gas Automata framework of Blommel and Wagner [Phys. Rev. E 97, 023310 (2018)], 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 different collision operator. This operator, derived from the ensemble average of transition probabilities, generates nonlinear terms. We propose this float lattice gas automata collision as a computationally efficient alternative to traditional and quantum LBM implementations.
