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DOI: 10.4230/LIPIcs.TQC.2014.217
URN: urn:nbn:de:0030-drops-48189
URL: http://drops.dagstuhl.de/opus/volltexte/2014/4818/
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de Beaudrap, Niel ; Roetteler, Martin

Quantum Linear Network Coding as One-way Quantum Computation

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Abstract

Network coding is a technique to maximize communication rates within a network, in communication protocols for simultaneous multi-party transmission of information. Linear network codes are examples of such protocols in which the local computations performed at the nodes in the network are limited to linear transformations of their input data (represented as elements of a ring, such as the integers modulo 2). The quantum linear network coding protocols of Kobayashi et al. coherently simulate classical linear network codes, using supplemental classical communication. We demonstrate that these protocols correspond in a natural way to measurement-based quantum computations with graph states over qudits having a structure directly related to the network.

BibTeX - Entry

@InProceedings{debeaudrap_et_al:LIPIcs:2014:4818,
  author =	{Niel de Beaudrap and Martin Roetteler},
  title =	{{Quantum Linear Network Coding as One-way Quantum Computation}},
  booktitle =	{9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014)},
  pages =	{217--233},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-73-6},
  ISSN =	{1868-8969},
  year =	{2014},
  volume =	{27},
  editor =	{Steven T. Flammia and Aram W. Harrow},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2014/4818},
  URN =		{urn:nbn:de:0030-drops-48189},
  doi =		{10.4230/LIPIcs.TQC.2014.217},
  annote =	{Keywords: Network coding, quantum computing, measurement-based computation, simulation}
}

Keywords: Network coding, quantum computing, measurement-based computation, simulation
Seminar: 9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014)
Issue Date: 2014
Date of publication: 26.11.2014


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