{
  "annotation_id": "81371e1c-62d8-448f-8498-2e26c1ed786d",
  "date_created": "2026-03-02T18:02:23.789000Z",
  "date_modified": "2026-03-02T18:02:23.789000Z",
  "file_hash": "bcae535320abebc3c839fa65f2b9b4817cb599545dc870681d6dbdd0efb32915",
  "private": false,
  "record": {
    "abstract": "In this paper, we write down the separable Werner state in a two-qubit system\nexplicitly as a convex combination of product states, which is different from\nthe convex combination obtained by Wootters\u0027 method. The Werner state in a\ntwo-qubit system has a single real parameter and varies from inseparable state\nto separable state according to the value of its parameter. We derive a hidden\nvariable model that is induced by our decomposed form for the separable Werner\nstate. From our explicit form of the convex combination of product states, we\nunderstand the following: The critical point of the parameter for separability\nof the Werner state comes from positivity of local density operators of the\nqubits.",
    "arxiv_id": "quant-ph/0601044",
    "authors": [
      "Hiroo Azuma",
      "Masashi Ban"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.73.032315",
    "journal_ref": "Phys. Rev. A 73, 032315 (2006)",
    "title": "Another convex combination of product states for the separable Werner   state",
    "url": "https://arxiv.org/abs/quant-ph/0601044"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "98da6b0c-871c-4151-94cf-41c6921a0960",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}