{
  "annotation_id": "b055b456-65f5-4914-9a51-ec2bf5747c0b",
  "date_created": "2026-03-02T18:02:20.031000Z",
  "date_modified": "2026-03-02T18:02:20.031000Z",
  "file_hash": "cd6b5afacdb5773b94e8b485085b6be98e727c21e705159c7e8055e384f3e5f0",
  "private": false,
  "record": {
    "abstract": "It is easy to verify the equivalence of the quantum Markov property and the\nstrong additivity of entropy for graded quantum systems as well. However, the\nstructure of Markov states for graded systems is different from that for tensor\nproduct systems. For three-composed graded systems there are U(1)-gauge\ninvariant Markov states whose restriction to the pair of marginal subsystems is\nnon-separable.",
    "arxiv_id": "quant-ph/0510197",
    "authors": [
      "Hajime Moriya"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.2176911",
    "title": "Markov property and strong additivity of von Neumann entropy for graded   quantum systems",
    "url": "https://arxiv.org/abs/quant-ph/0510197"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e282f0e4-3f7f-4e9a-9516-3fe3c5144157",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}