{
  "annotation_id": "05568c4a-87a2-4f5f-b2c1-2217efc09220",
  "date_created": "2026-03-02T18:01:38.006000Z",
  "date_modified": "2026-03-02T18:01:38.006000Z",
  "file_hash": "32ea3a748fdedbab6d5dacb9264bc1ad78fb69657b2bc56ab2737734a00496aa",
  "private": false,
  "record": {
    "abstract": "A definition of the nonadditive (nonextensive) conditional entropy indexed by\nq is presented. Based on the composition law in terms of it, the\nShannon-Khinchin axioms are generalized and the uniqueness theorem is\nestablished for the Tsallis entropy. The nonadditive conditional entropy, when\nconsidered in the quantum context, is always positive for separable states but\ntakes negative values for entangled states, indicating its utility for\ncharacterizing entanglement. A criterion deduced from it for separability of\nthe density matrix is examined in detail by using a bipartite spin-half system.\nIt is found that the strongest criterion for separability obtained by Peres\nusing an algebraic method is recovered in the present information-theoretic\napproach.",
    "arxiv_id": "quant-ph/0003145",
    "authors": [
      "Sumiyoshi Abe",
      "A. K. Rajagopal"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Towards Nonadditive Quantum Information Theory",
    "url": "https://arxiv.org/abs/quant-ph/0003145"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1dac6daf-b385-403e-a9b6-3decec7ae910",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}