{
  "annotation_id": "9bb05d3a-65eb-497d-b7af-849cce03aab1",
  "date_created": "2026-03-02T18:02:06.397000Z",
  "date_modified": "2026-03-02T18:02:06.397000Z",
  "file_hash": "ee46f1962d72a13e3af4fea8b74c49bd6e5279fe7377af95cc7db42bffae7a6d",
  "private": false,
  "record": {
    "abstract": "Here we consider perfect entanglers from another perspective. It is shown\nthat there are some {\\em special} perfect entanglers which can maximally\nentangle a {\\em full} product basis. We have explicitly constructed a\none-parameter family of such entanglers together with the proper product basis\nthat they maximally entangle. This special family of perfect entanglers\ncontains some well-known operators such as {\\textsc{cnot}} and\n{\\textsc{dcnot}}, but {\\em not} ${\\small{\\sqrt{\\rm{\\textsc{swap}}}}}$. In\naddition, it is shown that all perfect entanglers with entangling power equal\nto the maximal value, 2/9, are also special perfect entanglers. It is proved\nthat the one-parameter family is the only possible set of special perfect\nentanglers. Also we provide an analytic way to implement any arbitrary\ntwo-qubit gate, given a proper special perfect entangler supplemented with\nsingle-qubit gates. Such these gates are shown to provide a minimum universal\ngate construction in that just two of them are necessary and sufficient in\nimplementation of a generic two-qubit gate.",
    "arxiv_id": "quant-ph/0405046",
    "authors": [
      "A. T. Rezakhani"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.70.052313",
    "journal_ref": "Phys. Rev. A 70, 052313 (2004).",
    "title": "Characterization of two-qubit perfect entanglers",
    "url": "https://arxiv.org/abs/quant-ph/0405046"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "617c3625-e99a-456f-8073-cc4d6d06c612",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}