{
  "annotation_id": "35e63c23-60a8-4b0b-97e5-9f24c0097eea",
  "date_created": "2026-03-02T18:01:56.564000Z",
  "date_modified": "2026-03-02T18:01:56.564000Z",
  "file_hash": "ece19be7991a42785b1680cb13dba5a6cf03b42caa58a6cf61fda95f29a19a99",
  "private": false,
  "record": {
    "abstract": "The separable state closest to a given entangled state in the relative\nentropy measure is called the closest disentangled state. We provide an\nanalytical formula connecting the entangled state and the closest disentangled\nstate in two qubits. Using this formula, when any disentangled state ($\\sigma$)\nlocated at the entangle-disentangle boundary is given, entangled states to\nwhich $\\sigma$ is closest can be obtained analytically. Further, this formula\nnaturally defines the direction normal to the boundary surface. The direction\nis uniquely determined by $\\sigma$ in almost all cases.",
    "arxiv_id": "quant-ph/0301107",
    "authors": [
      "Satoshi Ishizaka"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.67.060301",
    "journal_ref": "Phys. Rev. A 67, 060301(R) (2003)",
    "title": "Analytical formula connecting entangled state and the closest   disentangled state",
    "url": "https://arxiv.org/abs/quant-ph/0301107"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a474a28e-2d7c-482d-8494-b46dc197f817",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}