{
  "annotation_id": "40f5ff60-6b17-449c-83fa-862c3ba07c6e",
  "date_created": "2026-03-02T18:02:30.934000Z",
  "date_modified": "2026-03-02T18:02:30.934000Z",
  "file_hash": "8c8acf424697fd08719ae504e7ee9cd2cb23aa0ac92ee281125279eb5b016291",
  "private": false,
  "record": {
    "abstract": "Quantum random walks are shown to have non-intuitive dynamics which makes\nthem an attractive area of study for devising quantum algorithms for\nlong-standing open problems as well as those arising in the field of quantum\ncomputing. In the case of continuous-time quantum random walks, such peculiar\ndynamics can arise from simple evolution operators closely resembling the\nquantum free-wave propagator. We investigate the divergence of quantum walk\ndynamics from the free-wave evolution and show that in order for\ncontinuous-time quantum walks to display their characteristic propagation, the\nstate space must be discrete. This behavior rules out many continuous quantum\nsystems as possible candidates for implementing continuous-time quantum random\nwalks.",
    "arxiv_id": "quant-ph/0611129",
    "authors": [
      "K. Manouchehri",
      "J. B. Wang"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1751-8113/40/45/016",
    "title": "Continuous-Time Quantum Random Walks Require Discrete Space",
    "url": "https://arxiv.org/abs/quant-ph/0611129"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "30e51391-529d-40b9-9357-89917547b81c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}