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Main Authors: Fonio, Niccoló, Sagaut, Pierre, Di Molfetta, Giuseppe
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2602.17303
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author Fonio, Niccoló
Sagaut, Pierre
Di Molfetta, Giuseppe
author_facet Fonio, Niccoló
Sagaut, Pierre
Di Molfetta, Giuseppe
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2602_17303
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Two-dimensional quantum lattice gas algorithm for anisotropic Burger-like equations
Fonio, Niccoló
Sagaut, Pierre
Di Molfetta, Giuseppe
Quantum Physics
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.
title Two-dimensional quantum lattice gas algorithm for anisotropic Burger-like equations
topic Quantum Physics
url https://arxiv.org/abs/2602.17303