{
  "annotation_id": "2137be24-87b1-420f-9272-0fcd2f838b56",
  "date_created": "2026-03-02T18:02:12.575000Z",
  "date_modified": "2026-03-02T18:02:12.575000Z",
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  "record": {
    "abstract": "A theorem of Blackwell about comparison between information structures in\nclassical statistics is given an analogue in the quantum probabilistic setup.\nThe theorem provides an operational interpretation for trace-preserving\ncompletely positive maps, which are the natural quantum analogue of classical\nstochastic maps. The proof of the theorem relies on the separation theorem for\nconvex sets and on quantum teleportation.",
    "arxiv_id": "quant-ph/0410233",
    "authors": [
      "E. Shmaya"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/38/44/008",
    "journal_ref": "J. Phys. A: Math. Gen. 38 (2005) 9717-9727",
    "title": "Comparison of Information Structures and Completely Positive Maps",
    "url": "https://arxiv.org/abs/quant-ph/0410233"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e6e17728-4c71-443c-ac87-3a7706516ee5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}