{
  "annotation_id": "bd2fda8b-b27f-4a53-9f31-559335b902bc",
  "date_created": "2026-03-02T18:01:49.144000Z",
  "date_modified": "2026-03-02T18:01:49.144000Z",
  "file_hash": "f3a90d5908bea72fbe6c06b241baabe538043a3c5c41fad996cd7abad26fa19f",
  "private": false,
  "record": {
    "abstract": "We study the closest disentangled state to a given entangled state in any\nsystem (multi-party with any dimension). We obtain the set of equations the\nclosest disentangled state must satisfy, and show that its reduction is\nstrongly related to the extremal condition of the local filtering on each\nparty. Although the equations we obtain are not still tractable, we find some\nsufficient conditions for which the closest disentangled state has the same\nreduction as the given entangled state. Further, we suggest a prescription to\nobtain a tight upper bound of the relative entropy of entanglement in two-qubit\nsystems.",
    "arxiv_id": "quant-ph/0203084",
    "authors": [
      "Satoshi Ishizaka"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/35/38/310",
    "journal_ref": "J. Phys. A: Math. Gen., 35, 8075 (2002)",
    "title": "The reduction of the closest disentangled states",
    "url": "https://arxiv.org/abs/quant-ph/0203084"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cadb6829-efd4-413e-a77d-eb1bd6e61e9f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}