Distillation of Nonlocality with respect to different measures

Swati Kumari^1*, Gelo Noel M. Tabia^1,2, Shiladitya Mal^1,2, Kai-Siang Chen¹, Yeong-Cherng Liang^1,2

¹Deaprtment of Physics & QFort, National Cheng Kung University, Tainan, Taiwan
²Physics Division, National Center for Theoretical Sciences, Taipei, Taiwan

* Presenter:Swati Kumari, email:swatipandey10@gs.ncku.edu.tw

We investigate the notion of nonlocality distillation using the different measures of nonlocality. In the 3322 (three-input, two-output) Bell scenario, we propose several nonlocality distillation protocols and examine the region of two-copy distillable correlations according to a measure based on the Elitzer-Popescu-Rohrlich (EPR2) decomposition and the violation of Bell inequalities. Interestingly, for a specific family of correlations, we find that for a certain distillation protocol, there is a region in the parameter space of correlation that are distillable according to the EPR2 measure and the Clauser-Horne (CH) value, but not from the violation of the I3322 value. Meanwhile, for another protocol, we can find a different region that is distillable according to the EPR2 measure but not from the violation of the Bell inequalities.

Keywords: Nonlocality distillation, Measures of Nonlocality, Nonlocal correlations