@article{d1a2014a042842fcbe81abc67259ef81,
title = "Tsirelson Polytopes and randomness generation",
abstract = "We classify the extreme points of a polytope of probability distributions in the (2,2,2) CHSH-Bell setting that is induced by a single Tsirelson bound. We do the same for a class of polytopes obtained from a parametrized family of multiple Tsirelson bounds interacting non-trivially. Such constructions can be applied to device-independent random number generation using the method of probability estimation factors (2018 Phys. Rev. A 98 040304(R)). We demonstrate a meaningful improvement in certified randomness applying the new polytopes characterized here.",
keywords = "Bell nonlocality, Device-independent random number generation, Tsirelson bounds",
author = "Peter Bierhorst and Yanbao Zhang",
note = "Publisher Copyright: {\textcopyright} 2020 Institute of Physics Publishing. All rights reserved.",
year = "2020",
month = aug,
doi = "10.1088/1367-2630/aba30d",
language = "English",
volume = "22",
journal = "New Journal of Physics",
issn = "1367-2630",
publisher = "IOP Publishing",
number = "8",
}