Quantum property testing

Open Access
Authors
Publication date 2008
Journal SIAM Journal on Computing
Volume | Issue number 37 | 5
Pages (from-to) 1387-1400
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
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.
Document type Article
Published at https://doi.org/10.1137/S0097539704442416
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