Two-dimensional quantum lattice gas algorithm for anisotropic Burger-like equations

• URL: http://arxiv.org/abs/2602.17303v1
• Date: Thu, 19 Feb 2026 12:13:19 GMT
• Title: Two-dimensional quantum lattice gas algorithm for anisotropic Burger-like equations
• Authors: Niccoló Fonio, Pierre Sagaut, Giuseppe Di Molfetta,
• Abstract summary: Building on hybrid quantum lattice gas algorithm, we revisit the possibilities of this quantum lattice model.<n>We introduce a minimal 2D generalization of the algorithm, which allows to simulate anisotropic Burgerlike equations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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