{
  "annotation_id": "98721c10-9b4b-4a84-8c5f-8d96d9cec9c5",
  "date_created": "2026-03-02T18:02:16.734000Z",
  "date_modified": "2026-03-02T18:02:16.734000Z",
  "file_hash": "30e136cc59c9fcb78354620f872249d7a1cea0335a050c2eb874440decb21030",
  "private": false,
  "record": {
    "abstract": "A geometrical characterization of robustly separable (that is, remaining\nseparable under sufficiently small variiations) mixed states of a bipartite\nquantum system is given. It is shown that the density matrix of any such state\ncan be represented as a normal vector to a hypersurface in the Euclidean space\nof all self-adjoint operators in the state space of the whole system. The\nexpression for this hypersurface is provided.",
    "arxiv_id": "quant-ph/0503173",
    "authors": [
      "Roman R. Zapatrin"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Continuous optimal ensembles I: A geometrical characterization of   robustly separable quantum states",
    "url": "https://arxiv.org/abs/quant-ph/0503173"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8f2fde0f-5e36-4b1d-bc95-fc26d5a4a8d8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}