文章基本信息

标题：Quantum Distributed Algorithm for Triangle Finding in the CONGEST Model
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作者：Taisuke Izumi ; Fran{\c{c}}ois Le Gall ; Frdric Magniez 等
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2020
卷号：154
页码：23:1-23:13
DOI：10.4230/LIPIcs.STACS.2020.23
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：This paper considers the triangle finding problem in the CONGEST model of distributed computing. Recent works by Izumi and Le Gall (PODC'17), Chang, Pettie and Zhang (SODA'19) and Chang and Saranurak (PODC'19) have successively reduced the classical round complexity of triangle finding (as well as triangle listing) from the trivial upper bound O(n) to Ã.(n^{1/3}), where n denotes the number of vertices in the graph. In this paper we present a quantum distributed algorithm that solves the triangle finding problem in Ã.(n^{1/4}) rounds in the CONGEST model. This gives another example of quantum algorithm beating the best known classical algorithms in distributed computing. Our result also exhibits an interesting phenomenon: while in the classical setting the best known upper bounds for the triangle finding and listing problems are identical, in the quantum setting the round complexities of these two problems are now Ã.(n^{1/4}) and Î~~(n^{1/3}), respectively. Our result thus shows that triangle finding is easier than triangle listing in the quantum CONGEST model.
关键词：Quantum computing; distributed computing; CONGEST model