{
  "annotation_id": "0dfc3b0a-26d9-4c8a-88dc-07f6ec4a36fa",
  "date_created": "2026-03-02T18:01:42.064000Z",
  "date_modified": "2026-03-02T18:01:42.064000Z",
  "file_hash": "e8144708bc4c2cfe4567ddff45cee59a35fb36f1ca52496067e8e6c51be9d21e",
  "private": false,
  "record": {
    "abstract": "Certain quantum gates, such as the controlled-NOT gate, are symmetric in\nterms of the operation of the control system upon the target system and vice\nversa. However, no operational criteria yet exist for establishing whether or\nnot a given quantum gate is symmetrical in this sense. We consider a\nrestricted, yet broad, class of two-party controlled gate operations for which\nthe gate transforms a reference state of the target into one of an orthogonal\nset of states. We show that for this class of gates it is possible to establish\na simple necessary and sufficient condition for the gate operation to be\nsymmetric.",
    "arxiv_id": "quant-ph/0102015",
    "authors": [
      "John A. Vaccaro",
      "O. Steuernagel",
      "S. F. Huelga"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/34/35/330",
    "title": "A class of symmetric controlled quantum operations",
    "url": "https://arxiv.org/abs/quant-ph/0102015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "50a4ff45-f035-41d3-a9f0-e166131faf22",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}