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Quantifying multipartite nonlocality using the size of the resource

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Quantifying multipartite nonlocality using the size of the resource

  • LecturerProf. Yeong-Cherng Liang (Institute of Physics, Cheng-Kung University)
    Host: Kai-Min Chung
  • Time2015-04-14 (Tue.) 10:00 ~ 12:00
  • LocationDisscussion room 727 at new IIS Building
Abstract

The generation of (Bell-)nonlocal correlations, i.e., correlations leading to the violation of a Bell-like inequality, requires the usage of a nonlocal resource, such as an entangled state. When given a correlation (a collection of conditional probability distributions), it is desirable to determine the extent to which the participating parties would need to collaborate nonlocally for its production. Here, we propose to achieve this via the minimal group size (MGS) of the resource, i.e., the smallest number of parties that need to share a given type of nonlocal resource for the above-mentioned purpose. In addition, we provide a general recipe—based on the lifting of Bell-like inequalities—to construct MGS witnesses for nonsignaling resources starting from any given ones. En route to illustrating the applicability of this recipe, we also show that when restricted to the space of full-correlation functions, nonsignaling resources are as powerful as unconstrained signaling resources. Explicit examples of correlations where their MGS can be determined using this recipe and other numerical techniques are provided.