{
  "annotation_id": "3686432b-1c6a-409a-ba2f-810d940272bf",
  "date_created": "2026-03-02T18:02:48.536000Z",
  "date_modified": "2026-03-02T18:02:48.536000Z",
  "file_hash": "4b71f92db4641b269a373b3e84479326f1180cdb71f38302a68b17a1facfb20d",
  "private": false,
  "record": {
    "abstract": "We derive a necessary condition for the existence of a completely-positive,\nlinear, trace-preserving map which deterministically transforms one finite set\nof pure quantum states into another. This condition is also sufficient for\nlinearly-independent initial states. We also examine the issue of quantum\ncoherence, that is, when such operations maintain the purity of superpositions.\nIf, in any deterministic transformation from one linearly-independent set to\nanother, even a single, complete superposition of the initial states maintains\nits purity, the initial and final states are related by a unitary\ntransformation.",
    "arxiv_id": "quant-ph/9911086",
    "authors": [
      "Anthony Chefles"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(00)00291-7",
    "title": "Deterministic Quantum State Transformations",
    "url": "https://arxiv.org/abs/quant-ph/9911086"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "290aba39-beee-488e-bdac-6acfdc0ddc03",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}