dorsal/arxiv
View SchemaQuantum Property Testing
| Authors | H. Buhrman, L. Fortnow, I. Newman, H. Roehrig |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201117 |
| URL | https://arxiv.org/abs/quant-ph/0201117 |
Abstract
A language L has a property tester if there exists a probabilistic algorithm that given an input x only asks a small number of bits of x and distinguishes the cases as to whether x is in L and x has large Hamming distance from all y in L. We define a similar notion of quantum property testing and show that there exist languages with quantum property testers but no good classical testers. We also show there exist languages which require a large number of queries even for quantumly testing.
{
"annotation_id": "d71953a8-c09b-4677-854b-14a8c2c28144",
"date_created": "2026-03-02T18:01:48.833000Z",
"date_modified": "2026-03-02T18:01:48.833000Z",
"file_hash": "ea4511db710957091af95e31bfb480e2dbfb5d338eca052b06d866ff25a1282e",
"private": false,
"record": {
"abstract": "A language L has a property tester if there exists a probabilistic algorithm\nthat given an input x only asks a small number of bits of x and distinguishes\nthe cases as to whether x is in L and x has large Hamming distance from all y\nin L. We define a similar notion of quantum property testing and show that\nthere exist languages with quantum property testers but no good classical\ntesters. We also show there exist languages which require a large number of\nqueries even for quantumly testing.",
"arxiv_id": "quant-ph/0201117",
"authors": [
"H. Buhrman",
"L. Fortnow",
"I. Newman",
"H. Roehrig"
],
"categories": [
"quant-ph"
],
"title": "Quantum Property Testing",
"url": "https://arxiv.org/abs/quant-ph/0201117"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "714606e2-4476-44e4-bd28-1f7d38dcf857",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}