{
  "annotation_id": "91d3d925-cee1-4219-a3ee-40517de9e949",
  "date_created": "2026-03-02T18:02:10.175000Z",
  "date_modified": "2026-03-02T18:02:10.175000Z",
  "file_hash": "585490b1e6f8d72ff040b585f74ab3ca68b3dbb975a646b37ffb3bb501039621",
  "private": false,
  "record": {
    "abstract": "We consider N initially disentangled spins, embedded in a ring or\nd-dimensional lattice of arbitrary geometry, which interact via some\nlong--range Ising--type interaction. We investigate relations between\nentanglement properties of the resulting states and the distance dependence of\nthe interaction in the limit N to infinity. We provide a sufficient condition\nwhen bipartite entanglement between blocks of L neighboring spins and the\nremaining system saturates, and determine S_L analytically for special\nconfigurations. We find an unbounded increase of S_L as well as diverging\ncorrelation and entanglement length under certain circumstances. For\narbitrarily large N, we can efficiently calculate all quantities associated\nwith reduced density operators of up to ten particles.",
    "arxiv_id": "quant-ph/0407075",
    "authors": [
      "W. D\u00fcr",
      "L. Hartmann",
      "M. Hein",
      "M. Lewenstein",
      "H. J. Briegel"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.94.097203",
    "journal_ref": "Phys. Rev. Lett. 94, 097203 (2005)",
    "title": "Entanglement in spin chains and lattices with long-range Ising-type   interactions",
    "url": "https://arxiv.org/abs/quant-ph/0407075"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3a538010-ed85-4638-adb9-17716d851964",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}