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
AbstractRandomness 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.
|Journal series||Nature Communications, ISSN , e-ISSN 2041-1723|
|Publication size in sheets||0.5|
|License||Journal (articles only); published final; ; with publication|
|Score|| = 45.0, 20-12-2017, ArticleFromJournal|
= 45.0, 20-12-2017, ArticleFromJournal
|Publication indicators||: 2016 = 12.124 (2) - 2016=13.092 (5)|
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