{
  "annotation_id": "d2769056-c4e8-45e1-9334-c085fc893659",
  "date_created": "2026-03-02T18:01:38.555000Z",
  "date_modified": "2026-03-02T18:01:38.555000Z",
  "file_hash": "3c30eec145716e7cabf3e3e974c332cc89dfcf932393d25697cc807bab1fb473",
  "private": false,
  "record": {
    "abstract": "The trade-off between the information gain and the state disturbance is\nderived for quantum operations on a single qubit prepared in a uniformly\ndistributed pure state. The derivation is valid for a class of measures\nquantifying the state disturbance and the information gain which satisfy\ncertain invariance conditions. This class includes in particular the Shannon\nentropy versus the operation fidelity. The central role in the derivation is\nplayed by efficient quantum operations, which leave the system in a pure output\nstate for any measurement outcome. It is pointed out that the optimality of\nefficient quantum operations among those inducing a given operator-valued\nmeasure is related to Davies\u0027 characterization of convex invariant functions on\nhermitian operators.",
    "arxiv_id": "quant-ph/0006062",
    "authors": [
      "Konrad Banaszek"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s11080-006-7263-8",
    "journal_ref": "Open Sys. Information Dyn. 13, 1 (2006)",
    "title": "Information gain versus state disturbance for a single qubit",
    "url": "https://arxiv.org/abs/quant-ph/0006062"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6dc216e2-6d47-4656-bfd8-b60299714295",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}