{
  "annotation_id": "f0d6279f-9e63-4c76-bfc3-bd54ac948ea7",
  "date_created": "2026-03-02T18:02:27.049000Z",
  "date_modified": "2026-03-02T18:02:27.049000Z",
  "file_hash": "e2fe5bb14b41340c591662232d50d19e69f87077ccc18c2e37362959b4d28f96",
  "private": false,
  "record": {
    "abstract": "We review a number of ideas related to area law scaling of the geometric\nentropy from the point of view of condensed matter, quantum field theory and\nquantum information. An explicit computation in arbitrary dimensions of the\ngeometric entropy of the ground state of a discretized scalar free field theory\nshows the expected area law result. In this case, area law scaling is a\nmanifestation of a deeper reordering of the vacuum produced by majorization\nrelations. Furthermore, the explicit control on all the eigenvalues of the\nreduced density matrix allows for a verification of entropy loss along the\nrenormalization group trajectory driven by the mass term. A further result of\nour computation shows that single-copy entanglement also obeys area law\nscaling, majorization relations and decreases along renormalization group\nflows.",
    "arxiv_id": "quant-ph/0605112",
    "authors": [
      "A. Riera",
      "J. I. Latorre"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other",
      "hep-th"
    ],
    "doi": "10.1103/PhysRevA.74.052326",
    "journal_ref": "Phys.Rev.A74:052326,2006",
    "title": "Area law and vacuum reordering in harmonic networks",
    "url": "https://arxiv.org/abs/quant-ph/0605112"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "22bd4639-3f96-4f63-823f-eb18ed6c060e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}