{
  "annotation_id": "d888a105-158d-4af6-ac8f-04f6a0b53890",
  "date_created": "2026-03-02T18:01:42.195000Z",
  "date_modified": "2026-03-02T18:01:42.195000Z",
  "file_hash": "ecadff3cf7e3e713418f2c09de810098e9097681310ceca599bcc6c574f06797",
  "private": false,
  "record": {
    "abstract": "Through the generalization of Khinchin\u0027s classical axiomatic foundation, a\nbasis is developed for nonadditive information theory. The classical\nnonadditive conditional entropy indexed by the positive parameter q is\nintroduced and then translated into quantum information. This quantity is\nnonnegative for classically correlated states but can take negative values for\nentangled mixed states. This property is used to study quantum entanglement in\nthe parametrized Werner-Popescu-like state of an N^n-system, that is, an\nn-partite N-level system. It is shown how the strongest limitation on validity\nof local realism (i.e., separability of the state) can be obtained in a novel\nmanner.",
    "arxiv_id": "quant-ph/0104135",
    "authors": [
      "Sumiyoshi Abe"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1103/PhysRevA.65.052323",
    "title": "Nonadditive measure and quantum entanglement in a class of mixed states   of N^n-system",
    "url": "https://arxiv.org/abs/quant-ph/0104135"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1a02f60a-2af7-4b82-81c1-00958ca4dfe4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}