{
  "annotation_id": "7eeb29a9-6865-460e-88e2-9173abc7e9d5",
  "date_created": "2026-03-02T18:02:45.090000Z",
  "date_modified": "2026-03-02T18:02:45.090000Z",
  "file_hash": "255d183d2db694b2dd25082310e3fd9f6b72a429648001ebd1f42fc27082ce86",
  "private": false,
  "record": {
    "abstract": "We investigate the iteration of a sequence of local and pair unitary\ntransformations, which can be interpreted to result from a Turing-head\n(pseudo-spin $S$) rotating along a closed Turing-tape ($M$ additional\npseudo-spins). The dynamical evolution of the Bloch-vector of $S$, which can be\ndecomposed into $2^{M}$ primitive pure state Turing-head trajectories, gives\nrise to fascinating geometrical patterns reflecting the entanglement between\nhead and tape. These machines thus provide intuitive examples for quantum\nparallelism and, at the same time, means for local testing of quantum network\ndynamics.",
    "arxiv_id": "quant-ph/9902020",
    "authors": [
      "Ilki Kim",
      "Guenter Mahler"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.60.692",
    "title": "Pattern formation in quantum Turing machines",
    "url": "https://arxiv.org/abs/quant-ph/9902020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d48c6c25-fd0e-47e2-a0ce-efc2eeee5ba9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}