Device-independent randomness extraction from an arbitrarily weak min-entropy source

Jan Bouda, Marcin Pawłowski, Matej Pivoluska, Martin Plesch

Research output: Contribution to journalArticleResearchpeer-review

19 Citations (Scopus)


© 2014 American Physical Society. Expansion and amplification of weak randomness play a crucial role in many security protocols. Using quantum devices, such procedure is possible even without trusting the devices used, by utilizing correlations between outcomes of parts of the devices. We show here how to extract random bits with an arbitrarily low bias from single arbitrarily weak min-entropy block source in a device independent setting. To do this we use Mermin devices that exhibit superclassical correlations. The number of devices used scales polynomially in the length of the random sequence n. Our protocol is robust; it can tolerate devices that malfunction with probability decreasing polynomially in n at the cost of minor increase in the number of devices used.
Original languageEnglish
Article number032313
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number3
Publication statusPublished - 12 Sep 2014


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