{
  "annotation_id": "3fae8676-7bde-483d-8cb8-c1c4f7ccf86f",
  "date_created": "2026-03-02T18:01:42.577000Z",
  "date_modified": "2026-03-02T18:01:42.577000Z",
  "file_hash": "fd62bb77b39710890e092b42f4df20557ab35e15204890b9c86da12307520c1f",
  "private": false,
  "record": {
    "abstract": "The partial transposition(PT) operation is an effecient tool in detecting the\ninseparability of a mixed state. We give an explicit formula for the PT\noperation for the continuous variable states in Fock space. We then give the\nnecessary and sufficient condition for the positivity of Gaussian operators.\nBased on this, a number of creterions on the inseparability and distillability\nfor the multimode Gaussian states are naturally drawn. We finally give an\nexplicit formula for the state in a subspace of a global Gaussian state. This\nformula, together with the known results for Gaussian states, gives the\ncriterions for the inseparability and distillability in a subspace of the\nglobal Gaussian state.",
    "arxiv_id": "quant-ph/0103170",
    "authors": [
      "Wang Xiang-Bin",
      "Matsumoto Keiji",
      "Tomita Akihisa"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.87.137903",
    "journal_ref": "Phys. Rev. Lett., 87, 137903(2001)",
    "title": "Detecting the inseparability and distillability of continuous variable   states in Fock space",
    "url": "https://arxiv.org/abs/quant-ph/0103170"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6e26ee26-3e3a-4607-bf3e-8334d0d72040",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}