{
  "annotation_id": "78c42b74-d861-40d2-b631-3ab84767b173",
  "date_created": "2026-03-02T18:02:17.099000Z",
  "date_modified": "2026-03-02T18:02:17.099000Z",
  "file_hash": "bedd4b22c989c25d498cdcbeefe031251e8d7c79d760de8c5902125578c5b9d6",
  "private": false,
  "record": {
    "abstract": "In this paper we study the properties of two-qubit gates. We review the most\ncommon parameterizations for the local equivalence classes of two-qubit gates\nand the connections between them. We then introduce a new discrete local\ninvariant, namely the number of local degrees of freedom that a gate can bind.\nThe value of this invariant is calculated analytically for all the local\nequivalence classes of two-qubit gates. We find that almost all two-qubit gates\ncan bind the full six local degrees of freedom and are in this sense more\neffective than the controlled-NOT gate, which only can bind four local degrees\nof freedom.",
    "arxiv_id": "quant-ph/0503141",
    "authors": [
      "Laura Koponen",
      "Ville Bergholm",
      "Martti M. Salomaa"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Quant. Inf. Comp. 6, 58 (2006)",
    "title": "A new local invariant for quantum gates",
    "url": "https://arxiv.org/abs/quant-ph/0503141"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "213372db-8953-4e80-9291-ded3a7cc1cf5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}