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oai:drops-oai.dagstuhl.de:10288 2024-03-06T10:45:43Z ddc:004 open_access

Quantum Advantage for the LOCAL Model in Distributed Computing Le Gall, François Nishimura, Harumichi Rosmanis, Ansis Quantum computing distributed computing LOCAL model There are two central models considered in (fault-free synchronous) distributed computing: the CONGEST model, in which communication channels have limited bandwidth, and the LOCAL model, in which communication channels have unlimited bandwidth. Very recently, Le Gall and Magniez (PODC 2018) showed the superiority of quantum distributed computing over classical distributed computing in the CONGEST model. In this work we show the superiority of quantum distributed computing in the LOCAL model: we exhibit two computational tasks that can be solved in a constant number of rounds in the quantum setting but require Omega(n) rounds in the classical (randomized) setting, where n denotes the size of the network. Schloss Dagstuhl – Leibniz-Zentrum für Informatik François Le Gall and Harumichi Nishimura and Ansis Rosmanis 2019 Is Part Of LIPIcs, Volume 126, 36th International Symposium on Theoretical Aspects of Computer Science (STACS 2019) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.STACS.2019.49 urn:nbn:de:0030-drops-102887 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2019.49 eng https://creativecommons.org/licenses/by/3.0/legalcode