Hong-Wei Li, Piotr Mironowicz, Marcin Pawlowski, Zhen-Qiang Yin, Yu-Chun Wu, Shuang Wang, Wei Chen, Hong-Gang Hu, Guang-Can Guo, Zheng-Fu Han
We study the relation between semi and fully device independent protocols. Our work leads to new random number generating protocols with higher rates for both scenarios. As a tool we use the correspondence between Bell inequalities and dimension witnesses. We present a method for converting the former into the later and vice versa. As a byproduct we obtain whole new classes of inequalities and witnesses. Finally, we show how optimization methods used in the studies of Bell inequalities can be adopted for dimension witnesses.
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http://arxiv.org/abs/1210.0486
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