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Abstract
A direct analysis of the task of randomness amplification from Santha-Vazirani sources using the violation of the chained Bell inequality is performed in terms of the convex combination of no-signaling boxes required to simulate quantum violation of the inequality. This analysis is used to find the exact threshold value of the initial randomness parameter from which perfect randomness can be extracted in the asymptotic limit of a large number of measurement settings. As a byproduct, we provide a tool for the analysis of randomness amplification protocols, namely a general characterization of the probability distributions of bits generated by Santha-Vazirani sources, which are shown
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Authors (6)
-
Andrzej Grudka
- UM w Poznaniu Wydział Fizyki
-
Karol Horodecki
- Uniwersystet Gdański Wydział Informatyki
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Michał Horodecki
- Uniwersystet Gdański Wydział Fizyki
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Marcin Pawłowski
- Uniwersytet Gdański Wydział Fizyki
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Ravishankar Ramanathan
- Uniwersytet Gdański .
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- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1103/PhysRevA.90.032322
- License
- Copyright (2014 American Physical Society)
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
PHYSICAL REVIEW A
no. 90,
pages 1 - 6,
ISSN: 2469-9926 - Language:
- English
- Publication year:
- 2014
- Bibliographic description:
- Grudka A., Horodecki K., Horodecki M., Horodecki P., Pawłowski M., Ramanathan R.: Free randomness amplification using bipartite chain correlations// PHYSICAL REVIEW A. -Vol. 90, nr. 032322 (2014), s.1-6
- DOI:
- Digital Object Identifier (open in new tab) 10.1103/physreva.90.032322
- Verified by:
- Gdańsk University of Technology
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