Quantum Property Testing

H. Buhrman; L. Fortnow; I. Newman; H. Roehrig

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Quantum Property Testing

H. Buhrman·L. Fortnow·I. Newman·H. Roehrig

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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.

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H. Buhrman, L. Fortnow, I. Newman, H. Roehrig. 2002-01-25. Quantum Property Testing. https://arxiv.org/abs/quant-ph/0201117

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