{
  "annotation_id": "b655f480-5ba5-4b4b-8033-1b71a6fae463",
  "date_created": "2026-03-02T18:02:27.458000Z",
  "date_modified": "2026-03-02T18:02:27.458000Z",
  "file_hash": "766ba59ef8447d259dad8e27eee5caa7998e391b06d1babcd2f15f0f9a660e5c",
  "private": false,
  "record": {
    "abstract": "We discuss quantum random walk of two photons using linear optical elements.\nWe analyze the quantum random walk using photons in a variety of quantum states\nincluding entangled states. We find that for photons initially in separable\nFock states, the final state is entangled. For polarization entangled photons\nproduced by type II downconverter, we calculate the joint probability of\ndetecting two photons at a given site. We show the remarkable dependence of the\ntwo photon detection probability on the quantum nature of the state. In order\nto understand the quantum random walk, we present exact analytical results for\nsmall number of steps like five. We present in details numerical results for a\nnumber of cases and supplement the numerical results with asymptotic analytical\nresults.",
    "arxiv_id": "quant-ph/0604138",
    "authors": [
      "P. K. Pathak",
      "G. S. Agarwal"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.75.032351",
    "journal_ref": "Phys. Rev. A 75, 032351 (2007)",
    "title": "Quantum random walk of two photons in separable and entangled state",
    "url": "https://arxiv.org/abs/quant-ph/0604138"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5a88e014-5212-4e84-b3bb-bb2cc3d6ea29",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}