{
  "annotation_id": "7b2a7807-9fe4-4382-a9e5-9d2cf1866c75",
  "date_created": "2026-03-02T18:01:35.141000Z",
  "date_modified": "2026-03-02T18:01:35.141000Z",
  "file_hash": "b2b3048434d0a239c4d777b4c836521d5e4ca346ce35099857796b125b9a4ff5",
  "private": false,
  "record": {
    "abstract": "A lower bound on the amount of noise that must be added to a GHZ-like\nentangled state to make it separable (also called the random robustness) is\nfound using the transposition condition. The bound is applicable to arbitrary\nnumbers of subsystems, and dimensions of Hilbert space, and is shown to be\nexact for qubits. The new bound is compared to previous such bounds on this\nquantity, and found to be stronger in all cases. It implies that increasing the\nnumber of subsystems, rather than increasing their Hilbert space dimension is a\nmore effective way of increasing entanglement. An explicit decomposition into\nan ensemble of separable states, when the state is not entangled,is given for\nthe case of qubits.",
    "arxiv_id": "quant-ph/0002002",
    "authors": [
      "P. Deuar",
      "W. J. Munro",
      "K. Nemoto"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1464-4266/2/3/302",
    "journal_ref": "J. Opt. B: Quantum Semiclass. Opt. 2, 225 (2000).",
    "title": "Upper Bound on the region of Separable States near the Maximally Mixed   State",
    "url": "https://arxiv.org/abs/quant-ph/0002002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0a868618-a93b-496a-9606-4c7374b83836",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}