{
  "annotation_id": "6b40de0f-2633-42d6-9ed8-f2494b1c1b49",
  "date_created": "2026-03-02T18:02:27.515000Z",
  "date_modified": "2026-03-02T18:02:27.515000Z",
  "file_hash": "f3e0564015e7fe717b04c9af32c4c5ecd43048da9dc28fbf62791340dd1c2762",
  "private": false,
  "record": {
    "abstract": "We present a general sufficiency condition for the presence of multipartite\nentanglement in thermal states stemming from the ground state entanglement. The\ncondition is written in terms of the ground state entanglement and the\npartition function and it gives transition temperatures below which\nentanglement is guaranteed to survive. It is flexible and can be easily adapted\nto consider entanglement for different splittings, as well as be weakened to\nallow easier calculations by approximations. Examples where the condition is\ncalculated are given. These examples allow us to characterize a minimum gapping\nbehavior for the survival of entanglement in the thermodynamic limit. Further,\nthe same technique can be used to find noise thresholds in the generation of\nuseful resource states for one-way quantum computing.",
    "arxiv_id": "quant-ph/0606103",
    "authors": [
      "Damian Markham",
      "Janet Anders",
      "Vlatko Vedral",
      "Mio Murao",
      "Akimasa Miyake"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1209/0295-5075/81/40006",
    "journal_ref": "Euro. Phys. Lett. 81, 40006 (2008)",
    "title": "Survival of entanglement in thermal states",
    "url": "https://arxiv.org/abs/quant-ph/0606103"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0da67e5f-7a31-4060-b1f2-aa2249690fc8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}