Realistic noise-tolerant randomness amplification using finite number of devices

Fernando G. S. L. Brandão , Ravishankar Ramanathan , Andrzej Grudka , Karol Horodecki , Michał Horodecki , Paweł Horodecki , Tomasz Szarek , Hanna Wojewódka

Abstract

Randomness is a fundamental concept, with implications from security of modern data systems, to fundamental laws of nature and even the philosophy of science. Randomness is called certified if it describes events that cannot be pre-determined by an external adversary. It is known that weak certified randomness can be amplified to nearly ideal randomness using quantum-mechanical systems. However, so far, it was unclear whether randomness amplification is a realistic task, as the existing proposals either do not tolerate noise or require an unbounded number of different devices. Here we provide an error-tolerant protocol using a finite number of devices for amplifying arbitrary weak randomness into nearly perfect random bits, which are secure against a no-signalling adversary. The correctness of the protocol is assessed by violating a Bell inequality, with the degree of violation determining the noise tolerance threshold. An experimental realization of the protocol is within reach of current technology.
Author Fernando G. S. L. Brandão
Fernando G. S. L. Brandão,,
-
, Ravishankar Ramanathan IFTiA
Ravishankar Ramanathan,,
- Institute of Theoretical Physics and Astrophysics
, Andrzej Grudka
Andrzej Grudka,,
-
, Karol Horodecki II
Karol Horodecki,,
- Institute of Informatics
, Michał Horodecki IFTiA
Michał Horodecki,,
- Institute of Theoretical Physics and Astrophysics
, Paweł Horodecki
Paweł Horodecki,,
-
, Tomasz Szarek IM
Tomasz Szarek,,
- Institute of Mathematics
, Hanna Wojewódka IM
Hanna Wojewódka,,
- Institute of Mathematics
Journal seriesNature Communications, ISSN 2041-1723
Issue year2016
Vol7
Pages1-6
Publication size in sheets0.5
DOIDOI:10.1038/ncomms11345
URL http://www.nature.com/ncomms/2016/160421/ncomms11345/full/ncomms11345.html
Languageen angielski
LicenseJournal (articles only); published final; Uznanie Autorstwa (CC-BY); with publication
Score (nominal)45
ScoreMinisterial score = 45.0, 20-12-2017, ArticleFromJournal
Ministerial score (2013-2016) = 45.0, 20-12-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 12.124 (2) - 2016=13.092 (5)
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