dorsal/arxiv
View SchemaNon-Unitary Quantum Walks on Hyper-Cycles
| Authors | Dmitry Solenov, Leonid Fedichkin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509078 |
| URL | https://arxiv.org/abs/quant-ph/0509078 |
| DOI | 10.1103/PhysRevA.73.012308 |
| Journal | Phys. Rev. A 73, 012308 (2006) |
Abstract
We present analytical treatment of quantum walks on multidimensional hyper-cycle graphs. We derive the analytical expression of the probability distribution for strong and weak decoherence regimes. Upper bound to mixing time is obtained.
{
"annotation_id": "3e0d6c90-1d85-419e-a974-23da0fd48eaa",
"date_created": "2026-03-02T18:02:20.158000Z",
"date_modified": "2026-03-02T18:02:20.158000Z",
"file_hash": "457a5d76f5934fb978e5a1cae04a1503c26601684a7b9805e4514d08ade65ece",
"private": false,
"record": {
"abstract": "We present analytical treatment of quantum walks on multidimensional\nhyper-cycle graphs. We derive the analytical expression of the probability\ndistribution for strong and weak decoherence regimes. Upper bound to mixing\ntime is obtained.",
"arxiv_id": "quant-ph/0509078",
"authors": [
"Dmitry Solenov",
"Leonid Fedichkin"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.012308",
"journal_ref": "Phys. Rev. A 73, 012308 (2006)",
"title": "Non-Unitary Quantum Walks on Hyper-Cycles",
"url": "https://arxiv.org/abs/quant-ph/0509078"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7fc7fd12-1e71-4e28-ba31-32775f3d90ae",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}