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Robust amplification of Santha-Vazirani sources with three devices

Abstract

We demonstrate that amplification of arbitrarily weak randomness is possible using quantum resources. We present a randomness amplification protocol that involves Bell experiments. We find a Bell inequality which can amplify arbitrarily weak randomness and give a detailed analysis of the protocol involving it. Our analysis includes finding a sufficient violation of Bell inequality as a function of the initial quality of randomness. It has a very important property that for any quality the required violation is strictly lower than possible to obtain using quantum resources. Among other things, it means that the protocol takes a finite amount of time to amplify arbitrarily weak randomness.

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Details

Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
PHYSICAL REVIEW A no. 91, edition 3, pages 1 - 8,
ISSN: 1050-2947
Language:
English
Publication year:
2015
Bibliographic description:
Mironowicz P., Gallego R., Pawłowski M.: Robust amplification of Santha-Vazirani sources with three devices// PHYSICAL REVIEW A. -Vol. 91, iss. 3 (2015), s.1-8
DOI:
Digital Object Identifier (open in new tab) 10.1103/physreva.91.032317
Verified by:
Gdańsk University of Technology

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