{
  "annotation_id": "d1b9e8db-c7ea-4da1-bd5c-172bd95ab891",
  "date_created": "2026-03-02T18:01:55.459000Z",
  "date_modified": "2026-03-02T18:01:55.459000Z",
  "file_hash": "5cda6bcc90c7f558f74046b464afeb85e4fbb438136ebf16190e733c8eea96bf",
  "private": false,
  "record": {
    "abstract": "We consider the problem of designing an optimal quantum detector with a fixed\nrate of inconclusive results that maximizes the probability of correct\ndetection, when distinguishing between a collection of mixed quantum states. We\ndevelop a sufficient condition for the scaled inverse measurement to maximize\nthe probability of correct detection for the case in which the rate of\ninconclusive results exceeds a certain threshold. Using this condition we\nderive the optimal measurement for linearly independent pure-state sets, and\nfor mixed-state sets with a broad class of symmetries. Specifically, we\nconsider geometrically uniform (GU) state sets and compound geometrically\nuniform (CGU) state sets with generators that satisfy a certain constraint.\n  We then show that the optimal measurements corresponding to GU and CGU state\nsets with arbitrary generators are also GU and CGU respectively, with\ngenerators that can be computed very efficiently in polynomial time within any\ndesired accuracy by solving a semidefinite programming problem.",
    "arxiv_id": "quant-ph/0211121",
    "authors": [
      "Yonina C. Eldar"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.67.042309",
    "journal_ref": "Phys. Rev. A. 67, 042309 (2003)",
    "title": "Mixed quantum state detection with inconclusive results",
    "url": "https://arxiv.org/abs/quant-ph/0211121"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e682ce5d-5b68-46c1-b34c-965bcd4c245b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}