dorsal/arxiv
View SchemaProbabilities to accept languages by quantum finite automata
| Authors | Andris Ambainis, Richard Bonner, Rusins Freivalds, Arnolds Kikusts |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9904066 |
| URL | https://arxiv.org/abs/quant-ph/9904066 |
Abstract
We construct a hierarchy of regular languages such that the current language in the hierarchy can be accepted by 1-way quantum finite automata with a probability smaller than the corresponding probability for the preceding language in the hierarchy. These probabilities converge to 1/2.
{
"annotation_id": "160a1932-4843-4bcb-a6b6-7c6c556905f5",
"date_created": "2026-03-02T18:02:44.913000Z",
"date_modified": "2026-03-02T18:02:44.913000Z",
"file_hash": "16524769dfd68ebaadd9dcb36d321cb6b82019fe4487b103c99b40e74ef23227",
"private": false,
"record": {
"abstract": "We construct a hierarchy of regular languages such that the current language\nin the hierarchy can be accepted by 1-way quantum finite automata with a\nprobability smaller than the corresponding probability for the preceding\nlanguage in the hierarchy. These probabilities converge to 1/2.",
"arxiv_id": "quant-ph/9904066",
"authors": [
"Andris Ambainis",
"Richard Bonner",
"Rusins Freivalds",
"Arnolds Kikusts"
],
"categories": [
"quant-ph",
"cs.CC"
],
"title": "Probabilities to accept languages by quantum finite automata",
"url": "https://arxiv.org/abs/quant-ph/9904066"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "1b6768c6-2a11-43bd-9682-b71dae1ae400",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}