{
  "annotation_id": "91522cef-3de0-4416-9e7b-b0d648aff050",
  "date_created": "2026-03-02T18:02:02.910000Z",
  "date_modified": "2026-03-02T18:02:02.910000Z",
  "file_hash": "e42c8b87584a9757710341e4d85f128d6af26dfba75526af8793f05a9cc885e8",
  "private": false,
  "record": {
    "abstract": "Based on set theoretic ordering properties, a general formulation for\nconstructing a pair of convertibility monotones, which are generalizations of\ndistillable entanglement and entanglement cost, is presented. The new pair of\nmonotones do not always coincide for pure bipartite infinite dimensional states\nunder SLOCC (stochastic local operations and classical communications),\ndemonstrating the existence of SLOCC incomparable pure bipartite states, a new\nproperty of entanglement in infinite dimensional systems, with no counterpart\nin the corresponding finite dimensional systems.",
    "arxiv_id": "quant-ph/0312091",
    "authors": [
      "Masaki Owari",
      "Keiji Matsumoto",
      "Mio Murao"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Existence of incomparable pure bipartite states in infinite dimensional   systems",
    "url": "https://arxiv.org/abs/quant-ph/0312091"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "89abba67-4de6-489b-a06e-46bf0ffbe5eb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}