Efficient Quantum Algorithms for (Gapped) Group Testing and Junta Testing

@article{Ambainis2016EfficientQA,
  title={Efficient Quantum Algorithms for (Gapped) Group Testing and Junta Testing},
  author={A. Ambainis and A. Belovs and O. Regev and R. Wolf},
  journal={ArXiv},
  year={2016},
  volume={abs/1507.03126}
}
  • A. Ambainis, A. Belovs, +1 author R. Wolf
  • Published 2016
  • Mathematics, Computer Science, Physics
  • ArXiv
  • In the k-junta testing problem, a tester has to efficiently decide whether a given function f: {0, 1}n → {0, 1} is a k-junta (i.e., depends on at most fc of its input bits) or is e-far from any k-junta. Our main result is a quantum algorithm for this problem with query complexity O([EQUATION]) and time complexity O(n[EQUATION]). This quadratically improves over the query complexity of the previous best quantum junta tester, due to Atici and Servedio. Our tester is based on a new quantum… CONTINUE READING
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