dorsal/arxiv
View SchemaComplementarity and quantum walks
| Authors | Viv Kendon, Barry C. Sanders |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0404043 |
| URL | https://arxiv.org/abs/quant-ph/0404043 |
| DOI | 10.1103/PhysRevA.71.022307 |
| Journal | Phys. Rev. A 71, 022307 (2005) |
Abstract
We show that quantum walks interpolate between a coherent `wave walk' and a random walk depending on how strongly the walker's coin state is measured; i.e., the quantum walk exhibits the quintessentially quantum property of complementarity, which is manifested as a trade-off between knowledge of which path the walker takes vs the sharpness of the interference pattern. A physical implementation of a quantum walk (the quantum quincunx) should thus have an identifiable walker and the capacity to demonstrate the interpolation between wave walk and random walk depending on the strength of measurement.
{
"annotation_id": "f9675cb9-4697-4ad2-aba2-d71d11cf0c3d",
"date_created": "2026-03-02T18:02:06.341000Z",
"date_modified": "2026-03-02T18:02:06.341000Z",
"file_hash": "55e42b7ff7528993afb604fffcaf4620525d058d5a0f2d8c51986240b5f64c8d",
"private": false,
"record": {
"abstract": "We show that quantum walks interpolate between a coherent `wave walk\u0027 and a\nrandom walk depending on how strongly the walker\u0027s coin state is measured;\ni.e., the quantum walk exhibits the quintessentially quantum property of\ncomplementarity, which is manifested as a trade-off between knowledge of which\npath the walker takes vs the sharpness of the interference pattern. A physical\nimplementation of a quantum walk (the quantum quincunx) should thus have an\nidentifiable walker and the capacity to demonstrate the interpolation between\nwave walk and random walk depending on the strength of measurement.",
"arxiv_id": "quant-ph/0404043",
"authors": [
"Viv Kendon",
"Barry C. Sanders"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.022307",
"journal_ref": "Phys. Rev. A 71, 022307 (2005)",
"title": "Complementarity and quantum walks",
"url": "https://arxiv.org/abs/quant-ph/0404043"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "04f72aa9-118e-4cbd-9231-1f59f561cf3a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}