{
  "annotation_id": "243f5074-f2d2-48bc-867c-5e6e42edd81b",
  "date_created": "2026-03-02T18:02:27.174000Z",
  "date_modified": "2026-03-02T18:02:27.174000Z",
  "file_hash": "8fcdc0f2518eb7490adf7f942857f2e127be0f5e1dfff658d91ef35a4314ca22",
  "private": false,
  "record": {
    "abstract": "We prove tight entropic uncertainty relations for a large number of mutually\nunbiased measurements. In particular, we show that a bound derived from the\nresult by Maassen and Uffink for 2 such measurements can in fact be tight for\nup to sqrt{d} measurements in mutually unbiased bases. We then show that using\nmore mutually unbiased bases does not always lead to a better locking effect.\nWe prove that the optimal bound for the accessible information using up to\nsqrt{d} specific mutually unbiased bases is log d/2, which is the same as can\nbe achieved by using only two bases. Our result indicates that merely using\nmutually unbiased bases is not sufficient to achieve a strong locking effect,\nand we need to look for additional properties.",
    "arxiv_id": "quant-ph/0606244",
    "authors": [
      "Manuel A. Ballester",
      "Stephanie Wehner"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.75.022319",
    "journal_ref": "Phys. Rev. A 75, 022319 (2007)",
    "title": "Entropic uncertainty relations and locking: tight bounds for mutually   unbiased bases",
    "url": "https://arxiv.org/abs/quant-ph/0606244"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b9744ab2-28f2-456a-a5d3-2462775653dd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}