{
  "annotation_id": "67024aec-148c-47e7-9e86-69a5d7889722",
  "date_created": "2026-03-02T18:02:34.483000Z",
  "date_modified": "2026-03-02T18:02:34.483000Z",
  "file_hash": "42275a40aac3dd1ceee210176249af71bf7ba026d089f7c8020af840deda3aa4",
  "private": false,
  "record": {
    "abstract": "We analytically calculate the average value of i-th largest Schmidt\ncoefficient for random pure quantum states. Schmidt coefficients, i.e.,\neigenvalues of the reduced density matrix, are expressed in the limit of large\nHilbert space size and for arbitrary bipartite splitting as an implicit\nfunction of index i.",
    "arxiv_id": "quant-ph/0611226",
    "authors": [
      "Marko Znidaric"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech",
      "nlin.CD"
    ],
    "doi": "10.1088/1751-8113/40/3/F04",
    "journal_ref": "J. Phys. A: Math. Theor. 40, F105-F111 (2007)",
    "title": "Entanglement of random vectors",
    "url": "https://arxiv.org/abs/quant-ph/0611226"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4a60ed30-b095-420e-9dca-dff5b00611ec",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}