{
  "annotation_id": "4702bfae-e982-473b-af69-ab431393e1ff",
  "date_created": "2026-03-02T18:01:46.138000Z",
  "date_modified": "2026-03-02T18:01:46.138000Z",
  "file_hash": "37584875c30d368ff56cf09b132cb7e6d0608c2d6bf5c3f58ad30148f6fa3b69",
  "private": false,
  "record": {
    "abstract": "Using the subdynamical kinetic equation for an open quantum system, a\nformulation is presented for performing decoherence-free (DF) quantum computing\nin Rigged Liouville Space (RLS). Three types of interactions were considered,\nand in each case, stationary and evolutionary states were evaluated for DF\nbehavior in both the total space and the projected subspace. Projected\nsubspaces were found using the subdynamics kinetic equation. It was shown that\nalthough the total space may be decoherent, the subspace can be DF. In the\nprojected subspace, the evolution of the density operator may be time\nasymmetric. Hence, a formulation for performing quantum computing in RLS or\nrigged Hilbert space (RHS) was proposed, and a quantum Controlled-Not Logical\ngate with corresponding operations in RLS (RHS) was constructed. A generalized\nquantum Turing machine in RHS was also discussed. Key Words: Quantum Computing,\nSubdynamics, Rigged Liouvile Space, Decoherence, Open System PACS:\n05.30.-d+85.30+82.20.Db+84.35.+i",
    "arxiv_id": "quant-ph/0110002",
    "authors": [
      "Bi Qiao",
      "Harry. E. Ruda",
      "X. H. Zhen"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum Computing Using an Open System and Projected Subspace",
    "url": "https://arxiv.org/abs/quant-ph/0110002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b03cb975-9d2b-4b59-b0a4-f3c4eb0c1167",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}