학술논문

Adversary Lower Bound for the k-sum Problem
Document Type
Working Paper
Source
Subject
Quantum Physics
Computer Science - Computational Complexity
Language
Abstract
We prove a tight quantum query lower bound $\Omega(n^{k/(k+1)})$ for the problem of deciding whether there exist $k$ numbers among $n$ that sum up to a prescribed number, provided that the alphabet size is sufficiently large. This is an extended and simplified version of an earlier preprint of one of the authors arXiv:1204.5074.
Comment: 10 pages, minor changes in v2. Extended and simplified version of an earlier preprint of one of the authors arXiv:1204.5074