Two-dimensional quantum lattice gas algorithm for anisotropic Burger-like equations
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866917282008006656 |
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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 |