1. Quantum Property Testing
- Author
-
Buhrman, H., Fortnow, L., Newman, I., and Roehrig, H.
- Subjects
Quantum Physics - 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.
- Published
- 2002