{
  "annotation_id": "50a8e97b-8748-43ff-b7d9-1bd005234d99",
  "date_created": "2026-03-02T18:02:34.368000Z",
  "date_modified": "2026-03-02T18:02:34.368000Z",
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  "record": {
    "abstract": "A trade-off relation on our knowledge about two noncommuting observables of a\nqubit system in simultaneous measurement is formulated. The obtained inequality\noffers a quantitative information-theoretic representation of Bohr\u0027s principle\nof complementarity, and can be interpreted as a trade-off relation on the\nasymptotic accuracy of the maximum-likelihood estimation of the probability\ndistributions of observables.",
    "arxiv_id": "quant-ph/0703130",
    "authors": [
      "Yuji Kurotani",
      "Takahiro Sagawa",
      "Masahito Ueda"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.76.022325",
    "journal_ref": "Phys. Rev. A 76, 022325 (2007)",
    "title": "Upper bound on our knowledge about noncommuting observables for a qubit   system",
    "url": "https://arxiv.org/abs/quant-ph/0703130"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
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    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}