{
  "annotation_id": "8ca73790-f4e2-40ff-a0cc-e27700181d4e",
  "date_created": "2026-03-02T18:02:48.309000Z",
  "date_modified": "2026-03-02T18:02:48.309000Z",
  "file_hash": "083809189ce1e34327820a69d9d8ade92f2a056ad1280ef4f70df19972ec8a78",
  "private": false,
  "record": {
    "abstract": "Given a bipartite quantum system represented by a tensor product of two\nHilbert spaces, we give an elementary argument showing that if either component\nspace is infinite-dimensional, then the set of nonseparable density operators\nis trace-norm dense in the set of all density operators (and the separable\ndensity operators nowhere dense). This result complements recent detailed\ninvestigations of separability, which show that when both component Hilbert\nspaces are finite-dimensional, there is a separable neighborhood (perhaps very\nsmall for large dimensions) of the maximally mixed state.",
    "arxiv_id": "quant-ph/9908028",
    "authors": [
      "Rob Clifton",
      "Hans Halvorson"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.61.012108",
    "journal_ref": "Phys. Rev. A 61, 012108 (2000)",
    "title": "Bipartite Mixed States of Infinite-Dimensional Systems are Generically   Nonseparable",
    "url": "https://arxiv.org/abs/quant-ph/9908028"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7d5d6080-8538-46ce-9940-4a2073e801fe",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}