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Bibliographic Details
Main Author: Gavinsky, Dmytro
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2401.11274
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Table of Contents:
  • We give a lower bound of $Ω(\sqrt n)$ 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 $\{0,1\}^n$ 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.