Building on hybrid quantum lattice gas algorithm, we revisit the possibilities of this quantum lattice model. By deriving a correction to the predicted viscosity, we provide analytical and numerical results that refine original formulation. We introduce a minimal 2D generalization of the algorithm, which allows to simulate anisotropic Burgerlike equations while retaining only two lattice velocities. This approach opens a promising route toward embedding momentum conservation and advancing toward NavierStokes dynamics in 2D, going beyond Frisch, Hasslacher and Pomeau (FHP) with a quantum native model.
@article{arxiv.2602.17303,
title = {Two-dimensional quantum lattice gas algorithm for anisotropic Burger-like equations},
author = {Niccoló Fonio and Pierre Sagaut and Giuseppe Di Molfetta},
journal= {arXiv preprint arXiv:2602.17303},
year = {2026}
}