Publications Repository - Gdańsk University of Technology

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

Authors

• Andrzej Grudka,
• Karol Horodecki,
• Michał Horodecki,
• prof. dr hab. Paweł Horodecki link open in new tab ,
• Marcin Pawłowski,
• Ravishankar Ramanathan