{
  "annotation_id": "4d1a5fd6-e72c-42df-891d-5b1d73c9a7a1",
  "date_created": "2026-03-02T18:02:03.634000Z",
  "date_modified": "2026-03-02T18:02:03.634000Z",
  "file_hash": "f334d0a724d65cecbe9c37babb37802a99c0608f637cc9b774263a9525079814",
  "private": false,
  "record": {
    "abstract": "P-representability is a necessary and sufficient condition for separability\nof bipartite Gaussian states only for the special subset of states whose\ncovariance matrix are $Sp(2,R)\\otimes Sp(2,R)$ locally invariant. Although this\nspecial class of states can be reached by a convenient $Sp(2,R)\\otimes Sp(2,R)$\ntransformation over an arbitrary covariance matrix, it represents a loss of\ngenerality, avoiding inference of many general aspects of separability of\nbipartite Gaussian states.",
    "arxiv_id": "quant-ph/0401056",
    "authors": [
      "M. C. de Oliveira"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.70.034303",
    "journal_ref": "Phys. Rev. A 70, 034303 (2004).",
    "title": "On the P-representable subset of all bipartite Gaussian separable states",
    "url": "https://arxiv.org/abs/quant-ph/0401056"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d23b4f1a-1299-4de8-9643-9eebd6cc59cd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}