{
  "annotation_id": "d4d34ba0-1b37-44fe-86e5-a6d487dabc87",
  "date_created": "2026-03-02T18:01:59.690000Z",
  "date_modified": "2026-03-02T18:01:59.690000Z",
  "file_hash": "2bf519228819c4ea4351389cf7264b0863eedc70ba8ca9dffa70b8a0f2f952a6",
  "private": false,
  "record": {
    "abstract": "The concepts of `conditional entropy\u0027 and `information\u0027 retain their validity\nfor quantum systems, but their properties differ somewhat from those of their\nclassical counterparts; specifically, some equalities and inequalities of\nclassical information theory are in general violated.\n  In this paper the concepts are generalized to include arbitrary indirect\nmeasurements (POVMs). Though the generalization is straightforward, it is\nimportant to ascertain that the basic relationships between the generalized\nquantitites remain the same for the POVMs as for direct measurements.",
    "arxiv_id": "quant-ph/0306058",
    "authors": [
      "Lev B. Levitin",
      "Tommaso Toffoli"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Information between quantum systems via POVMs",
    "url": "https://arxiv.org/abs/quant-ph/0306058"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b05bbba8-355b-4750-b306-7d02fd13b3df",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}