{
  "annotation_id": "24a2c00a-9fb7-4330-9972-d0b611ef24e6",
  "date_created": "2026-03-02T18:02:23.966000Z",
  "date_modified": "2026-03-02T18:02:23.966000Z",
  "file_hash": "48479eb56d68d69d274bca122ae83da6885cc5ae3fc886258cff99dfa757a989",
  "private": false,
  "record": {
    "abstract": "We derive a class of inequalities, from the uncertainty relations of the\nSU(1,1) and the SU(2) algebra in conjunction with partial transposition, that\nmust be satisfied by any separable two-mode states. These inequalities are\npresented in terms of the su(2) operators J_x, J_y, and the total photon number\nN_a+N_b. They include as special cases the inequality derived by Hillery and\nZubairy [Phys. Rev. Lett. 96, 050503 (2006)], and the one by Agarwal and Biswas\n[New J. Phys. 7, 211 (2005)]. In particular, optimization over the whole\ninequalities leads to the criterion obtained by Agarwal and Biswas. We show\nthat this optimal criterion can detect entanglement for a broad class of\nnon-Gaussian entangled states, i.e., the su(2) minimum-uncertainty states.\nExperimental schemes to test the optimal criterion are also discussed,\nespecially the one using linear optical devices and photodetectors.",
    "arxiv_id": "quant-ph/0512180",
    "authors": [
      "Hyunchul Nha",
      "Jaewan Kim"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.74.012317",
    "journal_ref": "Phys. Rev. A 74, 012317 (2006)",
    "title": "Entanglement criteria via the uncertainty relations in su(2) and su(1,1)   algebra: detection of non-Gaussian entangled states",
    "url": "https://arxiv.org/abs/quant-ph/0512180"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7d58aad7-33d4-4ab7-bcae-f295647f43c1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}