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.TQC.2014.205
URN: urn:nbn:de:0030-drops-48164
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2014/4816/
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Bouda, Jan ; Pawlowski, Marcin ; Pivoluska, Matej ; Plesch, Martin

Device-independent Randomness Extraction for Arbitrarily Weak Min-entropy Source

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Abstract

In this paper we design a protocol to extract random bits with an
arbitrarily low bias from a single arbitrarily weak min-entropy block source in a device independent setting. The protocol employs Mermin devices that exhibit super-classical correlations. Number of devices used scales polynomially in the length of the block n, containing entropy of at least two bits. Our protocol is robust, it can tolerate devices that malfunction with a probability dropping polynomially in n at the cost of constant increase of the number of devices used.

BibTeX - Entry

@InProceedings{bouda_et_al:LIPIcs:2014:4816,
  author =	{Jan Bouda and Marcin Pawlowski and Matej Pivoluska and Martin Plesch},
  title =	{{Device-independent Randomness Extraction for Arbitrarily Weak Min-entropy Source}},
  booktitle =	{9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014)},
  pages =	{205--211},
  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/2014/4816},
  URN =		{urn:nbn:de:0030-drops-48164},
  doi =		{10.4230/LIPIcs.TQC.2014.205},
  annote =	{Keywords: Randomness Extraction, Device Independence}
}

Keywords: Randomness Extraction, Device Independence
Collection: 9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014)
Issue Date: 2014
Date of publication: 11.12.2014

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