License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.STACS.2019.49
URN: urn:nbn:de:0030-drops-102887
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2019/10288/
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Le Gall, François ; Nishimura, Harumichi ; Rosmanis, Ansis

Quantum Advantage for the LOCAL Model in Distributed Computing

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LIPIcs-STACS-2019-49.pdf (0.5 MB)

Abstract

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.

BibTeX - Entry

@InProceedings{legall_et_al:LIPIcs:2019:10288,
  author =	{Fran{\c{c}}ois Le Gall and Harumichi Nishimura and Ansis Rosmanis},
  title =	{{Quantum Advantage for the LOCAL Model in Distributed Computing}},
  booktitle =	{36th International Symposium on Theoretical Aspects of Computer Science (STACS 2019)},
  pages =	{49:1--49:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-100-9},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{126},
  editor =	{Rolf Niedermeier and Christophe Paul},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/10288},
  doi =		{10.4230/LIPIcs.STACS.2019.49},
  annote =	{Keywords: Quantum computing, distributed computing, LOCAL model}
}

Keywords: Quantum computing, distributed computing, LOCAL model
Collection: 36th International Symposium on Theoretical Aspects of Computer Science (STACS 2019)
Issue Date: 2019
Date of publication: 12.03.2019

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