Device-independent randomness extraction for arbitrarily weak min-entropy source

Jan Bouda; Marcin Pawłowski; Matej Pivoluska; Martin Plesch

doi:10.1117/12.2071568

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13 October 2014 Device-independent randomness extraction for arbitrarily weak min-entropy source

Jan Bouda, Marcin Pawłowski, Matej Pivoluska, Martin Plesch

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Proceedings Volume 9254, Emerging Technologies in Security and Defence II; and Quantum-Physics-based Information Security III; 92540K (2014) https://doi.org/10.1117/12.2071568
Event: SPIE Security + Defence, 2014, Amsterdam, Netherlands

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 Pawłowski, Matej Pivoluska, and Martin Plesch "Device-independent randomness extraction for arbitrarily weak min-entropy source", Proc. SPIE 9254, Emerging Technologies in Security and Defence II; and Quantum-Physics-based Information Security III, 92540K (13 October 2014); https://doi.org/10.1117/12.2071568

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