English

Unambiguous parity-query complexity

Computational Complexity 2024-01-23 v1

Abstract

We give a lower bound of Ω(n)\Omega(\sqrt n) on the unambiguous randomised parity-query complexity of the approximate majority problem -- that is, on the lowest randomised parity-query complexity of any function over {0,1}n\{0,1\}^n whose value is "0" if the Hamming weight of the input is at most n/3, is "1" if the weight is at least 2n/3, and may be arbitrary otherwise.

Keywords

Cite

@article{arxiv.2401.11274,
  title  = {Unambiguous parity-query complexity},
  author = {Dmytro Gavinsky},
  journal= {arXiv preprint arXiv:2401.11274},
  year   = {2024}
}