{
  "id": "2308.12972",
  "version": "v1",
  "published": "2023-08-02T18:01:03.000Z",
  "updated": "2023-08-02T18:01:03.000Z",
  "title": "Complete quantum-inspired framework for computational fluid dynamics",
  "authors": [
    "Raghavendra D. Peddinti",
    "Stefano Pisoni",
    "Alessandro Marini",
    "Philippe Lott",
    "Henrique Argentieri",
    "Egor Tiunov",
    "Leandro Aolita"
  ],
  "categories": [
    "physics.flu-dyn",
    "physics.chem-ph",
    "physics.comp-ph",
    "quant-ph"
  ],
  "abstract": "Computational fluid dynamics is both an active research field and a key tool for industrial applications. The central challenge is to simulate turbulent flows in complex geometries, a compute-power intensive task due to the large vector dimensions required by discretized meshes. Here, we propose a full-stack solver for incompressible fluids with memory and runtime scaling polylogarithmically in the mesh size. Our framework is based on matrix-product states, a powerful compressed representation of quantum states. It is complete in that it solves for flows around immersed objects of diverse geometries, with non-trivial boundary conditions, and can retrieve the solution directly from the compressed encoding, i.e. without ever passing through the expensive dense-vector representation. These developments provide a toolbox with potential for radically more efficient simulations of real-life fluid problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-02T18:01:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "computational fluid dynamics",
      "complete quantum-inspired framework",
      "large vector dimensions",
      "simulate turbulent flows",
      "non-trivial boundary conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}