{
  "id": "2207.13157",
  "version": "v1",
  "published": "2022-07-26T19:22:41.000Z",
  "updated": "2022-07-26T19:22:41.000Z",
  "title": "Entangled Quantum States of Causal Fermion Systems and Unitary Group Integrals",
  "authors": [
    "Felix Finster",
    "Niky Kamran",
    "Moritz Reintjes"
  ],
  "comment": "88 pages, LaTeX, 9 figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "This paper is dedicated to a detailed analysis and computation of quantum states of causal fermion systems. The mathematical core is to compute integrals over the unitary group asymptotically for a large dimension of the group, for various integrands with a specific scaling behavior in this dimension. It is shown that, in a well-defined limiting case, the localized refined pre-state is positive and allows for the description of general entangled states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-26T19:22:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "causal fermion systems",
      "unitary group integrals",
      "entangled quantum states",
      "large dimension",
      "specific scaling behavior"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 88,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}