{
  "annotation_id": "c989930b-12e2-4f97-bac7-015f9d2d6870",
  "date_created": "2026-03-02T18:02:12.709000Z",
  "date_modified": "2026-03-02T18:02:12.709000Z",
  "file_hash": "b0378625d1e5d294d3a69a43c64c2fc26c5b250f1c1c7a49f7273f3eeda13fc6",
  "private": false,
  "record": {
    "abstract": "The entanglement-sharing properties of an infinite spin-chain are studied\nwhen the state of the chain is a pure, translation-invariant state with a\nmatrix-product structure. We study the entanglement properties of such states\nby means of their finitely correlated structure. These states are recursively\nconstructed by means of an auxiliary density matrix \\rho on a matrix algebra B\nand a completely positive map E: A \\otimes B -\u003e B, where A is the spin 2\\times\n2 matrix algebra. General structural results for the infinite chain are\ntherefore obtained by explicit calculations in (finite) matrix algebras. In\nparticular, we study not only the entanglement shared by nearest-neighbours,\nbut also, differently from previous works, the entanglement shared between\nconnected regions of the spin-chain. This range of possible applications is\nillustrated and the maximal concurrence C=1/\\sqrt{2} for the entanglement of\nconnected regions can actually be reached.",
    "arxiv_id": "quant-ph/0412167",
    "authors": [
      "F. Benatti",
      "B. C. Hiesmayr",
      "H. Narnhofer"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1209/epl/i2005-10204-2",
    "journal_ref": "Eur.Phys. Lett. 72 (1), 28 (2005)",
    "title": "Multi-distributed Entanglement in Finitely Correlated Chains",
    "url": "https://arxiv.org/abs/quant-ph/0412167"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "190a6526-5a59-4f5d-a12c-ea6ccad15221",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}