{
  "annotation_id": "c02701ac-3e0e-4804-824f-3e82c51e0508",
  "date_created": "2026-03-02T18:02:20.415000Z",
  "date_modified": "2026-03-02T18:02:20.415000Z",
  "file_hash": "b2db8e28f871ba5e0fc518e374539085e383c670d4aed530bf98ab54d9529b69",
  "private": false,
  "record": {
    "abstract": "The conditional shift in the evolution operator of a quantum walk generates\nentanglement between the coin and position degrees of freedom. This\nentanglement can be quantified by the von Neumann entropy of the reduced\ndensity operator (entropy of entanglement). In the long time limit, it\nconverges to a well defined value which depends on the initial state. Exact\nexpressions for the asymptotic (long-time) entanglement are obtained for (i)\nlocalized initial conditions and (ii) initial conditions in the position\nsubspace spanned by the +1 and -1 position eigenstates.",
    "arxiv_id": "quant-ph/0507264",
    "authors": [
      "G. Abal",
      "R. Siri",
      "A. Romanelli",
      "R. Donangelo"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.73.042302",
    "journal_ref": "Physical Review A 73, 042302 (2006); Physical Review A 73\n  069905(E) (2006); Virtual Journal of Quantum Information, 6 issue 4 (2006)",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Quantum walk on the line: entanglement and non-local initial conditions",
    "url": "https://arxiv.org/abs/quant-ph/0507264"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cc2ccb72-8b4d-418e-a3a2-2bb25d732bda",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}