论文标题
tsirelson多面体和随机性产生
Tsirelson Polytopes and Randomness Generation
论文作者
论文摘要
我们在（2,2,2）Chsh-bell设置中对概率分布的多型物进行了分类，该设置由单个tsirelson绑定诱导。我们对从多个tsirelson边界的参数化家族获得的一类多型，在非平凡的情况下相互作用。这种构造可以使用概率估计因子的方法[Phys。 Rev. A，98：040304（R），2018年]。我们证明了使用此处表征的新多元化的认证随机性有意义的改善。
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 [Phys. Rev. A, 98:040304(R), 2018]. We demonstrate a meaningful improvement in certified randomness applying the new polytopes characterized here.
