{
  "annotation_id": "7983c187-3a29-42ea-9bdb-a35a51b599e1",
  "date_created": "2026-03-02T18:01:45.266000Z",
  "date_modified": "2026-03-02T18:01:45.266000Z",
  "file_hash": "09ac89f5d72eeb3866e03280bb3854502781881226fa0e2ee540fe25b50efdcd",
  "private": false,
  "record": {
    "abstract": "We derive an extremal equation for optimal completely-positive map which most\nclosely approximates a given transformation between pure quantum states.\nMoreover, we also obtain an upper bound on the maximal mean fidelity that can\nbe attained by the optimal approximate transformation. The developed formalism\nis applied to universal-NOT gate, quantum cloning machines, quantum entanglers,\nand qubit theta-shifter.",
    "arxiv_id": "quant-ph/0105124",
    "authors": [
      "Jaromir Fiurasek"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.64.062310",
    "journal_ref": "Phys. Rev. A 64, 062310 (2001).",
    "title": "Extremal equation for optimal completely-positive maps",
    "url": "https://arxiv.org/abs/quant-ph/0105124"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a25f1cf9-77a9-4743-a559-f5159be8eae4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}