dorsal/arxiv
View SchemaQuantum testers for hidden group properties
| Authors | Katalin Friedl, Frederic Magniez, Miklos Santha, Pranab Sen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208184 |
| URL | https://arxiv.org/abs/quant-ph/0208184 |
Abstract
We construct efficient or query efficient quantum property testers for two existential group properties which have exponential query complexity both for their decision problem in the quantum and for their testing problem in the classical model of computing. These are periodicity in groups and the common coset range property of two functions having identical ranges within each coset of some normal subgroup. Our periodicity tester is efficient in Abelian groups and generalizes, in several aspects, previous periodicity testers. This is achieved by introducing a technique refining the majority correction process widely used for proving robustness of algebraic properties. The periodicity tester in non-Abelian groups and the common coset range tester are query efficient.
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"abstract": "We construct efficient or query efficient quantum property testers for two\nexistential group properties which have exponential query complexity both for\ntheir decision problem in the quantum and for their testing problem in the\nclassical model of computing. These are periodicity in groups and the common\ncoset range property of two functions having identical ranges within each coset\nof some normal subgroup. Our periodicity tester is efficient in Abelian groups\nand generalizes, in several aspects, previous periodicity testers. This is\nachieved by introducing a technique refining the majority correction process\nwidely used for proving robustness of algebraic properties. The periodicity\ntester in non-Abelian groups and the common coset range tester are query\nefficient.",
"arxiv_id": "quant-ph/0208184",
"authors": [
"Katalin Friedl",
"Frederic Magniez",
"Miklos Santha",
"Pranab Sen"
],
"categories": [
"quant-ph"
],
"title": "Quantum testers for hidden group properties",
"url": "https://arxiv.org/abs/quant-ph/0208184"
},
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