{
  "annotation_id": "f03e4c6a-3a2d-42ba-bec9-e95a144928cb",
  "date_created": "2026-03-02T18:02:10.011000Z",
  "date_modified": "2026-03-02T18:02:10.011000Z",
  "file_hash": "fff0386fd2c6b5f81a15cd6f66a902860148bb62a9d0b9657eca44387868eb1e",
  "private": false,
  "record": {
    "abstract": "We describe a phase transition for long-range entanglement in a\nthree-dimensional cluster state affected by noise. The partially decohered\nstate is modeled by the thermal state of a suitable Hamiltonian. We find that\nthe temperature at which the entanglement length changes from infinite to\nfinite is nonzero. We give an upper and lower bound to this transition\ntemperature.",
    "arxiv_id": "quant-ph/0407255",
    "authors": [
      "Robert Raussendorf",
      "Sergey Bravyi",
      "Jim Harrington"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.71.062313",
    "journal_ref": "Phys. Rev. A 71, 062313 (2005)",
    "title": "Long-range quantum entanglement in noisy cluster states",
    "url": "https://arxiv.org/abs/quant-ph/0407255"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0d8742a4-9bcf-4628-a0b5-220c77dea386",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}