Transitivity of Quantum Nonlocality

Yu-Chun Yin^1*, 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, email:ejo3up31119@gmail.com

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