{
  "annotation_id": "dc200f7c-431b-405d-a327-f74459627ee9",
  "date_created": "2026-03-02T18:02:19.905000Z",
  "date_modified": "2026-03-02T18:02:19.905000Z",
  "file_hash": "be552c8e118a303f092baf45da97e5ff2c53ce1561db6f31d7ed0733df4d1088",
  "private": false,
  "record": {
    "abstract": "We show that the convex set of separable mixed states of the 2 x 2 system is\na body of constant height. This fact is used to prove that the probability to\nfind a random state to be separable equals 2 times the probability to find a\nrandom boundary state to be separable, provided the random states are generated\nuniformly with respect to the Hilbert-Schmidt (Euclidean) distance. An\nanalogous property holds for the set of positive-partial-transpose states for\nan arbitrary bipartite system.",
    "arxiv_id": "quant-ph/0509008",
    "authors": [
      "Stanislaw Szarek",
      "Ingemar Bengtsson",
      "Karol Zyczkowski"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/5/L02",
    "journal_ref": "J. Phys. A 39 L119-L126 (2006)",
    "title": "On the structure of the body of states with positive partial transpose",
    "url": "https://arxiv.org/abs/quant-ph/0509008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f1334a1d-f4ca-41bd-8554-f549ea35c038",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}