{
  "annotation_id": "3bd107ad-5e7e-4d44-a9bd-e5283f0895b8",
  "date_created": "2026-03-02T18:01:53.118000Z",
  "date_modified": "2026-03-02T18:01:53.118000Z",
  "file_hash": "93c21a39adc45e595cacdb2966cdbddd78fe85f05de0d732ca0f5a4e65b12b0f",
  "private": false,
  "record": {
    "abstract": "We derive an optimal bound on the sum of entropic uncertainties of two or\nmore observables when they are sequentially measured on the same ensemble of\nsystems. This optimal bound is shown to be greater than or equal to the bounds\nderived in the literature on the entropic uncertainties of two observables\nwhich are measured on distinct but identically prepared ensembles of systems.\nIn the case of a two-dimensional Hilbert Space, the optimal bound for\nsuccessive measurements of two spin components, is seen to be strictly greater\nthan the optimal bound for the case when they are measured on distinct\nensembles, except when the spin components are mutually parallel or\nperpendicular.",
    "arxiv_id": "quant-ph/0209019",
    "authors": [
      "M. D. Srinivas"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/BF02704281",
    "journal_ref": "Pramana J. Phys. 60 (2003) 1137-1152",
    "title": "Optimal Entropic Uncertainty Relation for Successive Measurements in   Quantum Information Theory",
    "url": "https://arxiv.org/abs/quant-ph/0209019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6d896840-bad3-4bf8-914b-5675f0292b22",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}