{
  "annotation_id": "08bd437c-a2b3-4965-8b0a-1f1b0f2a9d75",
  "date_created": "2026-03-02T18:01:45.413000Z",
  "date_modified": "2026-03-02T18:01:45.413000Z",
  "file_hash": "8a1cd0bc0e08cb56f3c975f76ff519791636d5727fe74c20bc4b1611b52df116",
  "private": false,
  "record": {
    "abstract": "Qubits are neither fermions nor bosons. A Fock space description of qubits\nleads to a mapping from qubits to parafermions: particles with a hybrid\nboson-fermion quantum statistics. We study this mapping in detail, and use it\nto provide a classification of the algebras of operators acting on qubits.\nThese algebras in turn classify the universality of different classes of\nphysically relevant qubit-qubit interaction Hamiltonians. The mapping is\nfurther used to elucidate the connections between qubits, bosons, and fermions.\nThese connections allow us to share universality results between the different\nparticle types. Finally, we use the mapping to study the quantum computational\npower of certain anisotropic exchange Hamiltonians. In particular, we prove\nthat the XY model with nearest-neighbor interactions only is not\ncomputationally universal. We also generalize previous results about universal\nquantum computation with encoded qubits to codes with higher rates.",
    "arxiv_id": "quant-ph/0109078",
    "authors": [
      "L. -A. Wu",
      "D. A. Lidar"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.1499208",
    "journal_ref": "special issue on quantum computation of J. Math. Phys. 43, 4506\n  (2002)",
    "title": "Qubits as Parafermions",
    "url": "https://arxiv.org/abs/quant-ph/0109078"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9ac2cfd7-2c7b-4c22-9132-927008a0c074",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}