{
  "annotation_id": "80e91001-afb4-4f3f-94c8-c6f763e8c463",
  "date_created": "2026-03-02T18:02:34.527000Z",
  "date_modified": "2026-03-02T18:02:34.527000Z",
  "file_hash": "4b3bcf8691dad7566a64e69d3bbbbb2e5d3c3f632bce157d1044a94f556c2b8f",
  "private": false,
  "record": {
    "abstract": "We establish contact between the delocalization properties of pure quantum\nstates, as quantified by their number of principal components, and the average\ngeneralized entanglement properties, as quantified by purity measures relative\nto different observable sets. We find that correlations between products of\nstate vector components with respect to Hamming distance play an important role\nin the structure of subsystem-based purity measures. In particular, we derive\ngeneral conditions under which the amount of global multipartite entanglement\nrelates to the inverse participation ratio averaged over a maximal set of\nmutually unbiased product bases. Furthermore, we provide a method for computing\nthe expected amount of generalized entanglement with respect to an arbitrary\nobservable set for random pure states. Specific examples and an explicit\napplication to a disordered quantum spin chain are discussed.",
    "arxiv_id": "quant-ph/0702014",
    "authors": [
      "Lorenza Viola",
      "Winton G. Brown"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1751-8113/40/28/S17",
    "title": "Generalized entanglement as a framework for complex quantum systems:   Purity vs delocalization measures",
    "url": "https://arxiv.org/abs/quant-ph/0702014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "358a3edb-7371-4a08-b005-19cb64b67da5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}