{
  "annotation_id": "4e1ef88f-2ed9-4f47-b268-f941f05c154c",
  "date_created": "2026-03-02T18:02:30.619000Z",
  "date_modified": "2026-03-02T18:02:30.619000Z",
  "file_hash": "3caadd4ad8ebec39079cf82bead810ad9b12f26a81be8dc5f50fcc3817ada81a",
  "private": false,
  "record": {
    "abstract": "A multimode uncertainty relation (generalising the Robertson-Schroedinger\nrelation) is derived as a necessary constraint on the second moments of n pairs\nof canonical operators. In turn, necessary conditions for the separability of\nmultimode continuous variable states under (m+n)-mode bipartitions are derived\nfrom the uncertainty relation. These conditions are proven to be necessary and\nsufficient for (1+n)-mode Gaussian states and for (m+n)-mode bisymmetric\nGaussian states.",
    "arxiv_id": "quant-ph/0608136",
    "authors": [
      "A. Serafini"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.96.110402",
    "journal_ref": "Phys. Rev. Lett. 96, 110402 (2006)",
    "title": "Multimode uncertainty relations and separability of continuous variable   states",
    "url": "https://arxiv.org/abs/quant-ph/0608136"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0fbed924-99c3-4a99-a915-4c3265ee72aa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}