Quantum property testing

  • Authors:
  • Harry Buhrman;Lance Fortnow;Ilan Newman;Hein Röhrig

  • Affiliations:
  • CWI and University of Amsterdam;NEC Research Institute;Haifa University and NEC Research Institute;CWI and University of Amsterdam

  • Venue:
  • SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
  • Year:
  • 2003

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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.