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Bierhorst, Peter; Zhang, Yanbao (, New Journal of Physics)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. A98040304(R)). We demonstrate a meaningful improvement in certified randomness applying the new polytopes characterized here.more » « less
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Zhang, Yanbao; Shalm, Lynden K.; Bienfang, Joshua C.; Stevens, Martin J.; Mazurek, Michael D.; Nam, Sae Woo; Abellán, Carlos; Amaya, Waldimar; Mitchell, Morgan W.; Fu, Honghao; et al (, Physical Review Letters)
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