{
  "annotation_id": "909d49b0-93e5-4350-8ebb-aecce8a1b89f",
  "date_created": "2026-03-02T18:02:00.259000Z",
  "date_modified": "2026-03-02T18:02:00.259000Z",
  "file_hash": "09217b3b503fe54c7a7a3e4903875dd60386ff3d827f111e93f91ce9db5b143e",
  "private": false,
  "record": {
    "abstract": "We prove that the binegativity is always positive for any two-qubit state. As\na result, as suggested by the previous works, the asymptotic relative entropy\nof entanglement in two qubits does not exceed the Rains bound, and the\nPPT-entanglement cost for any two-qubit state is determined to be the\nlogarithmic negativity of the state. Further, the proof reveals some\ngeometrical characteristics of the entangled states, and shows that the partial\ntransposition can give another separable approximation of the entangled state\nin two qubits.",
    "arxiv_id": "quant-ph/0308056",
    "authors": [
      "Satoshi Ishizaka"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.69.020301",
    "journal_ref": "Phys. Rev. A 69, 020301(R) (2004)",
    "title": "Binegativity and geometry of entangled states in two qubits",
    "url": "https://arxiv.org/abs/quant-ph/0308056"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9944f6db-34a1-4baa-8a8b-032f8098a4b7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}