Transitivity of Quantum Nonlocality
Yu-Chun Yin1*, Gelo Noel Tabia2, Jebarathinam Chellasamy3, Yeong-Cherng Liang1
1Physics, National Cheng Kung University, Tainan, Taiwan
2Center for Quantum Technology, National Tsing Hua University, Hsinchu, Taiwan
3Center for Theoretical Physics, Polish Academy of Sciences, Warsaw, Poland
* Presenter:Yu-Chun Yin,
In a tripartite Bell experiment, the observed correlation between measurement outcomes is said to exhibit transitivity in Bell-nonlocality if the observation of Bell-nonlocality among two out of the three marginal distributions necessarily implies the Bell-nonlocality of the remaining marginal correlation. Examples of tripartite, no-signaling correlation that feature transitivity of Bell-nonlocality are known but quantum examples of this kind have so far remained elusive. Here, we report our progress on the search for such quantum examples in the tripartite scenario.

Keywords: Bell-nonlocality, Transitivity, Quantum information