{
  "annotation_id": "3e4e8789-910b-430e-aafa-94082711c24c",
  "date_created": "2026-03-02T18:02:23.220000Z",
  "date_modified": "2026-03-02T18:02:23.220000Z",
  "file_hash": "a2c34e3aaa4b9db7e3675dfe211ab6f9ea1c93aced5cd87c7378a1e89abfb741",
  "private": false,
  "record": {
    "abstract": "An adaptation of Kieu\u0027s hypercomputational quantum algorithm (KHQA) is\npresented. The method that was used was to replace the Weyl-Heisenberg algebra\nby other dynamical algebra of low dimension that admits infinite-dimensional\nirreducible representations with naturally defined generalized coherent states.\nWe have selected the Lie algebra $\\mathfrak{su}(1,1)$, due to that this algebra\nposses the necessary characteristics for to realize the hypercomputation and\nalso due to that such algebra has been identified as the dynamical algebra\nassociated to many relatively simple quantum systems. In addition to an\nalgebraic adaptation of KHQA over the algebra $\\mathfrak{su}(1,1)$, we\npresented an adaptations of KHQA over some concrete physical referents: the\ninfinite square well, the infinite cylindrical well, the perturbed infinite\ncylindrical well, the P{\\\"o}sch-Teller potentials, the Holstein-Primakoff\nsystem, and the Laguerre oscillator. We conclude that it is possible to have\nmany physical systems within condensed matter and quantum optics on which it is\npossible to consider an implementation of KHQA.",
    "arxiv_id": "quant-ph/0602082",
    "authors": [
      "Andr\u00e9s Sicard",
      "Juan Ospina",
      "Mario V\u00e9lez"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/40/018",
    "title": "Quantum hypercomputation based on the dynamical algebra su(1,1)",
    "url": "https://arxiv.org/abs/quant-ph/0602082"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d85c5dcc-ffdd-4db5-a8f5-41dcd6a7e628",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}