{
  "annotation_id": "7b07ec45-7e69-4a9e-bf02-08a3c089e1be",
  "date_created": "2026-03-02T18:02:34.590000Z",
  "date_modified": "2026-03-02T18:02:34.590000Z",
  "file_hash": "2c99c1e9d96d0846a7de805e467994032b6b617653a56718038f331463afdda1",
  "private": false,
  "record": {
    "abstract": "A characterization of the complete correlation structure in an $n$-party\nsystem is proposed in terms of a series of $(k,n)$ threshold classical secret\nsharing protocols ($2\\le k\\le n$). The total correlation is shown to be the sum\nof independent correlations of 2-, 3-,$...$, $n$-parties. Our result unifies\nseveral earlier scattered works, and shines new light at the important topic of\nmulti-party quantum entanglement. As an application, we explicitly construct\nthe hierarchy of correlations in an $n$-qubit graph state.",
    "arxiv_id": "quant-ph/0701029",
    "authors": [
      "D. L. Zhou",
      "L. You"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Characterizing the complete hierarchy of correlations in an $n$-party   system",
    "url": "https://arxiv.org/abs/quant-ph/0701029"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "aa794f4a-71fd-4ae5-b201-89b79bd61948",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}