{
  "annotation_id": "9e4cbd5d-1dae-4742-86f7-c123d321cde5",
  "date_created": "2026-03-02T18:01:48.486000Z",
  "date_modified": "2026-03-02T18:01:48.486000Z",
  "file_hash": "2ec4a463f2df5a4ba2157f86d2413de1a89a9930b64466d29853d7cfa5f387b9",
  "private": false,
  "record": {
    "abstract": "The entanglement in a pure state of N qudits (d-dimensional distinguishable\nquantum particles) can be characterised by specifying how entangled its\nsubsystems are. A generally mixed subsystem of m qudits is obtained by tracing\nover the other N-m qudits. We examine the entanglement in the space of mixed\nstates of m qudits. We show that for a typical pure state of N qudits, its\nsubsystems smaller than N/3 qudits will have a positive partial transpose and\nhence are separable or bound entangled. Additionally, our numerical results\nshow that the probability of finding entangled subsystems smaller than N/3\nfalls exponentially in the dimension of the Hilbert space. The bulk of pure\nstate Hilbert space thus consists of highly entangled states with multipartite\nentanglement encompassing at least a third of the qudits in the pure state.",
    "arxiv_id": "quant-ph/0203037",
    "authors": [
      "Vivien M Kendon",
      "Karol Zyczkowski",
      "William J Munro"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.66.062310",
    "journal_ref": "Phys. Rev. A 66, 062310 (2002)",
    "title": "Bounds on entanglement in qudit subsystems",
    "url": "https://arxiv.org/abs/quant-ph/0203037"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d4754d9d-82ba-4115-9910-a3de57e88fb9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}