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DOI: 10.4230/LIPIcs.TQC.2014.205

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

Authors: Jan Bouda, Marcin Pawlowski, Matej Pivoluska, and Martin Plesch

Published in: LIPIcs, Volume 27, 9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014)

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.

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Jan Bouda, Marcin Pawlowski, Matej Pivoluska, and Martin Plesch. Device-independent Randomness Extraction for Arbitrarily Weak Min-entropy Source. In 9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014). Leibniz International Proceedings in Informatics (LIPIcs), Volume 27, pp. 205-211, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2014)

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@InProceedings{bouda_et_al:LIPIcs.TQC.2014.205,
  author =	{Bouda, Jan and Pawlowski, Marcin and Pivoluska, Matej and Plesch, Martin},
  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 =	{Flammia, Steven T. and Harrow, Aram W.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TQC.2014.205},
  URN =		{urn:nbn:de:0030-drops-48164},
  doi =		{10.4230/LIPIcs.TQC.2014.205},
  annote =	{Keywords: Randomness Extraction, Device Independence}
}

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

Abstract

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