{
  "annotation_id": "a9ea4648-4d0a-413a-8eb3-abb1cc461ce6",
  "date_created": "2026-03-02T18:01:49.259000Z",
  "date_modified": "2026-03-02T18:01:49.259000Z",
  "file_hash": "b5ad5bd92fa2483b97d5210faaac6c858876fc0c59e5541fe1bbcaf5e08cdcfa",
  "private": false,
  "record": {
    "abstract": "In the present paper the cross norm criterion for separability of density\nmatrices is studied. In the first part of the paper we determine the value of\nthe greatest cross norm for Werner states, for isotropic states and for Bell\ndiagonal states. In the second part we show that the greatest cross norm\ncriterion induces a novel computable separability criterion for bipartite\nsystems. This new criterion is a necessary but in general not a sufficient\ncriterion for separability. It is shown, however, that for all pure states, for\nBell diagonal states, for Werner states in dimension d=2 and for isotropic\nstates in arbitrary dimensions the new criterion is necessary and sufficient.\nMoreover, it is shown that for Werner states in higher dimensions (d greater\nthan 2), the new criterion is only necessary.",
    "arxiv_id": "quant-ph/0202121",
    "authors": [
      "Oliver Rudolph"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1007/s11128-005-5664-1",
    "title": "Further results on the cross norm criterion for separability",
    "url": "https://arxiv.org/abs/quant-ph/0202121"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3d4e3c23-612d-4761-aa6a-6a2c264d11c1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}