{
  "annotation_id": "c1f3b3d2-78c5-4ccc-8f61-a1395d252c9a",
  "date_created": "2026-03-02T18:02:47.511000Z",
  "date_modified": "2026-03-02T18:02:47.511000Z",
  "file_hash": "60cdaed92891b67f13ce18b6690a900778fe7757d878773b0540ce8f4fc43f12",
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  "record": {
    "abstract": "I present a variety of results on the theory of quantum secret sharing. I\nshow that any mixed state quantum secret sharing scheme can be derived by\ndiscarding a share from a pure state scheme, and that the size of each share in\na quantum secret sharing scheme must be at least as large as the size of the\nsecret. I show that the only constraints on the existence of quantum secret\nsharing schemes with general access structures are monotonicity (if a set is\nauthorized, so are larger sets) and the no-cloning theorem. I also discuss some\naspects of sharing classical secrets using quantum states. In this situation,\nthe size of each share can sometimes be half the size of the classical secret.",
    "arxiv_id": "quant-ph/9910067",
    "authors": [
      "Daniel Gottesman"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.61.042311",
    "journal_ref": "Phys. Rev. A 61, 042311 (2000)",
    "title": "On the Theory of Quantum Secret Sharing",
    "url": "https://arxiv.org/abs/quant-ph/9910067"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ed83734c-25f9-4754-8d88-fefe3d9821fd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}