A Time-Efficient Quantum Walk for 3-Distinctness Using Nested Updates
Quantum Physics
2013-03-01 v1 Data Structures and Algorithms
Abstract
We present an extension to the quantum walk search framework that facilitates quantum walks with nested updates. We apply it to give a quantum walk algorithm for 3-Distinctness with query complexity ~O(n^{5/7}), matching the best known upper bound (obtained via learning graphs) up to log factors. Furthermore, our algorithm has time complexity ~O(n^{5/7}), improving the previous ~O(n^{3/4}).
Keywords
Cite
@article{arxiv.1302.7316,
title = {A Time-Efficient Quantum Walk for 3-Distinctness Using Nested Updates},
author = {Andrew M. Childs and Stacey Jeffery and Robin Kothari and Frederic Magniez},
journal= {arXiv preprint arXiv:1302.7316},
year = {2013}
}