{
  "annotation_id": "5097028a-79d1-45c7-b042-8333c1b59800",
  "date_created": "2026-03-02T18:02:27.719000Z",
  "date_modified": "2026-03-02T18:02:27.719000Z",
  "file_hash": "8d08c6a0763b8a0c3a261a703b4a9d725c31fcb8425862831cd6f0c2c1eb81b1",
  "private": false,
  "record": {
    "abstract": "We investigate quantum walks in multiple dimensions with different quantum\ncoins. We augment the model by assuming that at each step the amplitudes of the\ncoin state are multiplied by random phases. This model enables us to study in\ndetail the role of decoherence in quantum walks and to investigate the\nquantum-to-classical transition. We also provide classical analogues of the\nquantum random walks studied. Interestingly enough, it turns out that the\nclassical counterparts of some quantum random walks are classical random walks\nwith a memory and biased coin. In addition random phase shifts \"simplify\" the\ndynamics (the cross interference terms of different paths vanish on average)\nand enable us to give a compact formula for the dispersion of such walks.",
    "arxiv_id": "quant-ph/0607092",
    "authors": [
      "Jozef Kosik",
      "Vladimir Buzek",
      "Mark Hillery"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.74.022310",
    "title": "Quantum walks with random phase shifts",
    "url": "https://arxiv.org/abs/quant-ph/0607092"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "53cbea62-b3e2-41da-9bba-5db825b2207a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}