{
  "annotation_id": "5e050b8a-88da-4c84-8454-8f18eb68f237",
  "date_created": "2026-03-02T18:01:35.750000Z",
  "date_modified": "2026-03-02T18:01:35.750000Z",
  "file_hash": "9c8ad8ba706da80dd5ec783549c5c710943690e16dfaf93effca07679a87b01e",
  "private": false,
  "record": {
    "abstract": "Based on the form invariance of the structures given by Khinchin\u0027s axiomatic\nfoundations of information theory and the pseudoadditivity of the Tsallis\nentropy indexed by q, the concept of conditional entropy is generalized to the\ncase of nonadditive (nonextensive) composite systems. The proposed nonadditive\nconditional entropy is classically nonnegative but can be negative in the\nquantum context, indicating its utility for characterizing quantum\nentanglement. A criterion deduced from it for separability of density matrices\nfor validity of local realism is examined in detail by employing a bipartite\nspin-1/2 system. It is found that the strongest criterion is obtained in the\nlimit q going to infinity.",
    "arxiv_id": "quant-ph/0001085",
    "authors": [
      "Sumiyoshi Abe",
      "A. K. Rajagopal"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0378-4371(00)00476-3",
    "title": "Nonadditive conditional entropy and its significance for local realism",
    "url": "https://arxiv.org/abs/quant-ph/0001085"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9f3f7a26-2fba-4273-9e3c-dbad3deb40b4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}