{
  "annotation_id": "1b7e07bb-d61f-409d-b47c-0a490e9d90ca",
  "date_created": "2026-03-02T18:01:49.223000Z",
  "date_modified": "2026-03-02T18:01:49.223000Z",
  "file_hash": "de1e255403f9d3815e6c4746eba4d0b7c5eb677462568f56993e5e3b3475bb5d",
  "private": false,
  "record": {
    "abstract": "We study when a multipartite non--local unitary operation can\ndeterministically or probabilistically simulate another one when local\noperations of a certain kind -in some cases including also classical\ncommunication- are allowed. In the case of probabilistic simulation and\nallowing for arbitrary local operations, we provide necessary and sufficient\nconditions for the simulation to be possible. Deterministic and probabilistic\ninterconversion under certain kinds of local operations are used to define\nequivalence relations between gates. In the probabilistic, bipartite case this\ninduces a finite number of classes. In multiqubit systems, however, two unitary\noperations typically cannot simulate each other with non-zero probability of\nsuccess. We also show which kind of entanglement can be created by a given\nnon--local unitary operation and generalize our results to arbitrary operators.",
    "arxiv_id": "quant-ph/0201112",
    "authors": [
      "W. D\u00fcr",
      "J. I. Cirac"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Quantum Information and Computation, Vol. 2, No. 3, 240-254 (2002)",
    "title": "Equivalence classes of non-local unitary operations",
    "url": "https://arxiv.org/abs/quant-ph/0201112"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6b9e275b-f419-4560-956d-f55badc90af7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}