{
  "annotation_id": "87cdaf65-fb52-40ac-899d-dab85cf810f5",
  "date_created": "2026-03-02T18:02:13.041000Z",
  "date_modified": "2026-03-02T18:02:13.041000Z",
  "file_hash": "686cde6747289e2f3c4f4b6b57bba5f3fb68b0c369c927d261ccf6e0baa00ef1",
  "private": false,
  "record": {
    "abstract": "Motivated by the idea of entanglement loss along Renormalization Group flows,\nanalytical majorization relations are proven for the ground state of\n(1+1)-dimensional conformal field theories. For any of these theories,\nmajorization is proven to hold in the spectrum of the reduced density matrices\nin a bipartite system when changing the size L of one of the subsystems.\nContinuous majorization along uniparametric flows is also proven as long as\npart of the conformal structure is preserved under the deformation and some\nmonotonicity conditions hold as well. As particular examples of our\nderivations, we study the cases of the XX, Heisenberg and XY quantum spin\nchains. Our results provide in a rigorous way explicit proves for all the\nmajorization conjectures raised by Latorre, Lutken, Rico, Vidal and Kitaev in\nprevious papers on quantum spin chains.",
    "arxiv_id": "quant-ph/0501110",
    "authors": [
      "Roman Orus"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other",
      "hep-th"
    ],
    "doi": "10.1103/PhysRevA.71.052327 10.1103/PhysRevA.73.019904",
    "journal_ref": "Phys.Rev.A71:052327,2005; Erratum-ibid.A73:019904,2006;\n  Phys.Rev.A73:019904,2006",
    "title": "Entanglement and majorization in (1+1)-dimensional quantum systems",
    "url": "https://arxiv.org/abs/quant-ph/0501110"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "00f9b7e2-f6c7-4024-8d44-eebbc5c4ff4c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}