{
  "annotation_id": "1362160d-28f6-4093-b4ac-8fe9ca1f0e7c",
  "date_created": "2026-03-02T18:01:53.059000Z",
  "date_modified": "2026-03-02T18:01:53.059000Z",
  "file_hash": "21ec069689560f24d56913e9fc9dd8ce10fb7bb28df18872e263ea9658780606",
  "private": false,
  "record": {
    "abstract": "We discuss the question of entanglement versus separability of pure quantum\nstates in direct product Hilbert spaces and the relevance of this issue to\nphysics. Different types of separability may be possible, depending on the\nparticular factorization or split of the Hilbert space. A given orthonormal\nbasis set for a Hilbert space is defined to be of type (p,q) if p elements of\nthe basis are entangled and q are separable, relative to a given bi-partite\nfactorization of that space. We conjecture that not all basis types exist for a\ngiven Hilbert space.",
    "arxiv_id": "quant-ph/0210041",
    "authors": [
      "Jon Eakins",
      "George Jaroszkiewicz"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/36/2/315",
    "title": "Factorization and Entanglement in Quantum Systems",
    "url": "https://arxiv.org/abs/quant-ph/0210041"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "26c19cb7-5c3a-487d-bf8d-835d949f1ffc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}