Free randomness amplification using bipartite chain correlations
Quantum Physics
2014-10-01 v1
Abstract
A direct analysis of the protocol of randomness amplification using Bell inequality violation is performed in terms of the convex combination of no-signaling boxes required to simulate quantum violation of the inequality. The probability distributions of bits generated by a Santha-Vazirani source are shown to be mixtures of permutations of Bernoulli distributions with parameter defined by the source. An intuitive proof is provided for the range of partial randomness from which perfect randomness can be extracted using quantum correlations violating the chain inequalities. Exact values are derived in the asymptotic limit of a large number of measurement settings.
Cite
@article{arxiv.1303.5591,
title = {Free randomness amplification using bipartite chain correlations},
author = {Andrzej Grudka and Karol Horodecki and Michał Horodecki and Paweł Horodecki and Marcin Pawłowski and Ravishankar Ramanathan},
journal= {arXiv preprint arXiv:1303.5591},
year = {2014}
}
Comments
4+3 pages