{
  "annotation_id": "e5a2759f-e81e-4e2b-8561-6902e5e54e39",
  "date_created": "2026-03-02T18:02:13.277000Z",
  "date_modified": "2026-03-02T18:02:13.277000Z",
  "file_hash": "4d8affeb9983405764b8e6b8c07d3b6aef7b55a3c99f3ba02721fa99f0467f3a",
  "private": false,
  "record": {
    "abstract": "We introduce the concept of a quantum walk with two particles and study it\nfor the case of a discrete time walk on a line. A quantum walk with more than\none particle may contain entanglement, thus offering a resource unavailable in\nthe classical scenario and which can present interesting advantages. In this\nwork, we show how the entanglement and the relative phase between the states\ndescribing the coin degree of freedom of each particle will influence the\nevolution of the quantum walk. In particular, the probability to find at least\none particle in a certain position after $N$ steps of the walk, as well as the\naverage distance between the two particles, can be larger or smaller than the\ncase of two unentangled particles, depending on the initial conditions we\nchoose. This resource can then be tuned according to our needs, in particular\nto enhance a given application (algorithmic or other) based on a quantum walk.\nExperimental implementations are briefly discussed.",
    "arxiv_id": "quant-ph/0411065",
    "authors": [
      "Y. Omar",
      "N. Paunkovic",
      "L. Sheridan",
      "S. Bose"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.74.042304",
    "journal_ref": "Phys. Rev. A 74, 042304 (2006)",
    "title": "Quantum Walk on a Line with Two Entangled Particles",
    "url": "https://arxiv.org/abs/quant-ph/0411065"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "25e35003-96a4-4432-9583-4032c41fab97",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}