{
  "annotation_id": "5e60b3b9-5ba4-4410-89a3-29a2b4e33cff",
  "date_created": "2026-03-02T18:02:20.470000Z",
  "date_modified": "2026-03-02T18:02:20.470000Z",
  "file_hash": "aec3de3f32521f7732c2358b6fa6b78b7377ff82c374232181cf96bb1241d6e6",
  "private": false,
  "record": {
    "abstract": "We show how the separability problem is dual to that of decomposing any given\nmatrix into a conic combination of rank-one partial isometries, thus offering a\nduality approach different to the positive maps characterization problem.\nSeveral inmediate consequences are analyzed: (i) a sufficient criterion for\nseparability for bipartite quantum systems, (ii) a complete solution to the\nseparability problem for pure states also of bipartite systems independent of\nthe classical Schmidt decomposition method and (iii) a natural generalization\nof these results to multipartite systems.",
    "arxiv_id": "quant-ph/0509124",
    "authors": [
      "D. Salgado",
      "J. L. Sanchez-Gomez",
      "M. Ferrero"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Another dual formulation of the separability problem",
    "url": "https://arxiv.org/abs/quant-ph/0509124"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8bb44013-9063-4eaf-b63f-a0e5e407bd46",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}