dorsal/arxiv
View SchemaDecoherence vs entanglement in coined quantum walks
| Authors | Olivier Maloyer, Viv Kendon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0612229 |
| URL | https://arxiv.org/abs/quant-ph/0612229 |
| DOI | 10.1088/1367-2630/9/4/087 |
| Journal | New J. Phys. 9 (2007) 87 |
Abstract
Quantum versions of random walks on the line and cycle show a quadratic improvement in their spreading rate and mixing times respectively. The addition of decoherence to the quantum walk produces a more uniform distribution on the line, and even faster mixing on the cycle by removing the need for time-averaging to obtain a uniform distribution. We calculate numerically the entanglement between the coin and the position of the quantum walker and show that the optimal decoherence rates are such that all the entanglement is just removed by the time the final measurement is made.
{
"annotation_id": "572b4172-4bd5-4ac0-bb78-3bf165536840",
"date_created": "2026-03-02T18:02:33.986000Z",
"date_modified": "2026-03-02T18:02:33.986000Z",
"file_hash": "b5c1d2c946e6f79dc7d6216c80209790bbd038596196e48bc691261fd1b27613",
"private": false,
"record": {
"abstract": "Quantum versions of random walks on the line and cycle show a quadratic\nimprovement in their spreading rate and mixing times respectively. The addition\nof decoherence to the quantum walk produces a more uniform distribution on the\nline, and even faster mixing on the cycle by removing the need for\ntime-averaging to obtain a uniform distribution. We calculate numerically the\nentanglement between the coin and the position of the quantum walker and show\nthat the optimal decoherence rates are such that all the entanglement is just\nremoved by the time the final measurement is made.",
"arxiv_id": "quant-ph/0612229",
"authors": [
"Olivier Maloyer",
"Viv Kendon"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1367-2630/9/4/087",
"journal_ref": "New J. Phys. 9 (2007) 87",
"title": "Decoherence vs entanglement in coined quantum walks",
"url": "https://arxiv.org/abs/quant-ph/0612229"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e64786dd-1af4-48f7-8d07-a351afa9f936",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}