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

Bouda, Jan; Pawlowski, Marcin; Pivoluska, Matej; Plesch, Martin

doi:10.4230/LIPIcs.TQC.2014.205

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

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

Part of: Volume: 9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014)
Part of: Series: Leibniz International Proceedings in Informatics (LIPIcs)
Part of: Conference: Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC)
License: Creative Commons Attribution 3.0 Unported license
Publication Date: 2014-12-11

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Document Identifiers

DOI: 10.4230/LIPIcs.TQC.2014.205
URN: urn:nbn:de:0030-drops-48164

Subject Classification

Keywords

Randomness Extraction
Device Independence

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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.

Cite As Get BibTex

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) https://doi.org/10.4230/LIPIcs.TQC.2014.205

Author Details

Jan Bouda

Marcin Pawlowski

Matej Pivoluska

Martin Plesch

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