{
  "annotation_id": "ce7f5041-4b99-466b-b11b-c72ef2f1584e",
  "date_created": "2026-03-02T18:02:10.042000Z",
  "date_modified": "2026-03-02T18:02:10.042000Z",
  "file_hash": "052cee5265dae5e0ef9f59cc5eb450935f748684406da4b18cb0459dd444518c",
  "private": false,
  "record": {
    "abstract": "We study the robustness of the GHZ (or ``cat\u0027\u0027) class of multi-partite states\nunder decoherence. The noise model is described by a general completely\npositive map for qubits independently coupled to the environment. In\nparticular, the robustness of N-party entanglement is studied in the large N\nlimit when (a) the number of spatially separated subsystems is fixed but the\nsize of each subsystem becomes large (b) the size of the subsystems is fixed\nwhile their number becomes arbitrarily large. We obtain conditions for\nentanglement in these two cases. Among our other results, we show that the\nparity of an entangled state (i.e., whether it contains an even or odd number\nof qubits) can lead to qualitatively different robustness of entanglement under\ncertain conditions.",
    "arxiv_id": "quant-ph/0408174",
    "authors": [
      "Somshubhro Bandyopadhyay",
      "Daniel A. Lidar"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.042339",
    "journal_ref": "Phys. Rev. A 72, 042339 (2005)",
    "title": "Robustness of multi-qubit entanglement in the independent decoherence   model",
    "url": "https://arxiv.org/abs/quant-ph/0408174"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "457a2baf-a0a9-41ad-8839-02035ed54ba1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}