{
  "annotation_id": "f8ba6f86-4476-4a88-9759-7a6178cc175e",
  "date_created": "2026-03-02T18:01:42.320000Z",
  "date_modified": "2026-03-02T18:01:42.320000Z",
  "file_hash": "e3a95218f46004866c3f56731d42c1b81b2c614be740538b2f2cb30c3a9f0852",
  "private": false,
  "record": {
    "abstract": "We investigate separability and entanglement of mixed states in ${\\cal\nC}^2\\otimes{\\cal C}^2\\otimes{\\cal C}^N$ three party quantum systems. We show\nthat all states with positive partial transposes that have rank $\\le N$ are\nseparable. For the 3 qubit case (N=2) we prove that all states $\\rho$ that have\npositive partial transposes and rank 3 are separable. We provide also\nconstructive separability checks for the states $\\rho$ that have the sum of the\nrank of $\\rho$ and the ranks of partial transposes with respect to all\nsubsystems smaller than 15N-1.",
    "arxiv_id": "quant-ph/0102115",
    "authors": [
      "S. Karnas",
      "M. Lewenstein"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.64.042313",
    "title": "Separability and entanglement in 2x2xN composite quantum systems",
    "url": "https://arxiv.org/abs/quant-ph/0102115"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0b04a23f-d240-46b4-8d3a-cd46e5df7434",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}