{
  "abstract": "In the existing quantum algorithms for the lattice Boltzmann method, resolving the unitarity problem of the BGK collision operator from first principles remains a fundamental challenge, and a systematically constructed unitary alternative that reproduces the BGK relaxation structure to leading order has not yet been established in the literature. In this work, we propose a novel quantum lattice Boltzmann method (QLBM) based on the rotation collision operator, in which the non-unitary BGK relaxation is replaced by a unitary rotation in the amplitude space of the distribution function, and the corresponding gate-level quantum circuits are also constructed. Specifically, the rotation collision operator is developed for both the D2Q5 model of the convection-diffusion equation and the D2Q9 model of the incompressible Navier--Stokes equations. It is worth noting that, for the D2Q5 model, the equilibrium-state preparation circuit can be precompiled and reused, and the resulting unitary blocks can be sequentially composed once the state-dependent collision parameters are specified. Finally, some numerical experiments are performed to validate the developed QLBM, demonstrating its accuracy and effectiveness.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.16721",
  "author_total": 5,
  "authors": [
    {
      "name": "Kangyang Zeng"
    },
    {
      "name": "Changshen Huang"
    },
    {
      "name": "Xi Liu"
    },
    {
      "name": "Xiaodong Niu"
    },
    {
      "name": "Zhenhua Chai"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/77t11ca3qdkjn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.16721",
  "fulltext_url": null,
  "id": "77t11ca3qdkjn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.16721",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.flu-dyn"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "2206|Lattice Boltzmann Simulation Studies"
    ]
  ],
  "openalex": "W7213402739",
  "pdf_url": "https://arxiv.org/pdf/2609.16721",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/77t11ca3qdkjn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:41Z",
      "native_id": "2609.16721",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.16721"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Rotation Collision based Quantum Lattice Boltzmann Methods",
  "title_text": "Rotation Collision based Quantum Lattice Boltzmann Methods",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:41Z",
  "url": "https://research.draconitic.com/paper/77t11ca3qdkjn",
  "venue": "arXiv",
  "versions": []
}