Exact quantum query complexity of EXACT and THRESHOLD
Quantum Physics
2013-02-07 v1 Computational Complexity
Abstract
A quantum algorithm is exact if it always produces the correct answer, on any input. Coming up with exact quantum algorithms that substantially outperform the best classical algorithm has been a quite challenging task. In this paper, we present two new exact quantum algorithms for natural problems: 1) for the problem EXACT_k^n in which we have to determine whether the sequence of input bits x_1, ..., x_n contains exactly k values x_i=1; 2) for the problem THRESHOLD_k^n in which we have to determine if at least k of n input bits are equal to 1.
Cite
@article{arxiv.1302.1235,
title = {Exact quantum query complexity of EXACT and THRESHOLD},
author = {Andris Ambainis and Jānis Iraids and Juris Smotrovs},
journal= {arXiv preprint arXiv:1302.1235},
year = {2013}
}
Comments
8 pages