Quantum property testing

Harry Buhrman; Lance Fortnow; Ilan Newman; Hein Röhrig

doi:10.1137/S0097539704442416

Quantum property testing

Harry Buhrman, Lance Fortnow, Ilan Newman, Hein Röhrig

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

A language L has a property tester if there exists a probabilistic algorithm that given an input x queries only 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 good 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.

Original language	English
Pages (from-to)	1387-1400
Number of pages	14
Journal	SIAM Journal on Computing
Volume	37
Issue number	5
DOIs	https://doi.org/10.1137/S0097539704442416
State	Published - 2007

Keywords

Property testing
Quantum computing

ASJC Scopus subject areas

General Computer Science
General Mathematics

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10.1137/S0097539704442416

Cite this

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Quantum property testing

Abstract

Keywords

ASJC Scopus subject areas

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