dorsal/arxiv
View SchemaRelativistic quantum walks
| Authors | Frederick W. Strauch |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0508096 |
| URL | https://arxiv.org/abs/quant-ph/0508096 |
| DOI | 10.1103/PhysRevA.73.054302 |
| Journal | Phys. Rev. A 73, 054302 (2006) |
Abstract
By pursuing the deep relation between the one-dimensional Dirac equation and quantum walks, the physical role of quantum interference in the latter is explained. It is shown that the time evolution of the probability density of a quantum walker, initially localized on a lattice, is directly analogous to relativistic wave-packet spreading. Analytic wave-packet solutions reveal a striking connection between the discrete and continuous time quantum walks.
{
"annotation_id": "d748765e-8216-4488-a5e0-16615cdd2c5d",
"date_created": "2026-03-02T18:02:20.098000Z",
"date_modified": "2026-03-02T18:02:20.098000Z",
"file_hash": "c6f3c39c4c06cced28e96a64b8c241711391c877f702ef6289d753de6ed7d9d6",
"private": false,
"record": {
"abstract": "By pursuing the deep relation between the one-dimensional Dirac equation and\nquantum walks, the physical role of quantum interference in the latter is\nexplained. It is shown that the time evolution of the probability density of a\nquantum walker, initially localized on a lattice, is directly analogous to\nrelativistic wave-packet spreading. Analytic wave-packet solutions reveal a\nstriking connection between the discrete and continuous time quantum walks.",
"arxiv_id": "quant-ph/0508096",
"authors": [
"Frederick W. Strauch"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.054302",
"journal_ref": "Phys. Rev. A 73, 054302 (2006)",
"title": "Relativistic quantum walks",
"url": "https://arxiv.org/abs/quant-ph/0508096"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "956c1454-a396-42c9-82c3-ec76faed1802",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}