Abstract
In the present work, we study tripartite quantum steering of quantum correlations arising from two local dichotomic measurements on each side in the two types of partially device-independent scenarios: 1-sided device-independent scenario where one of the parties performs untrusted measurements while the other two parties perform trusted measurements and 2-sided device-independent scenario where one of the parties performs trusted measurements while the other two parties perform untrusted measurements. We demonstrate that tripartite steering in the 2-sided device-independent scenario is weaker than tripartite steering in the 1-sided device-independent scenario by using two families of quantum correlations. That is these two families of quantum correlations in the 2-sided device-independent framework detect tripartite entanglement through tripartite steering for a larger region than that in the 1-sided device-independent framework. It is shown that tripartite steering in the 2-sided device-independent scenario implies the presence of genuine tripartite entanglement of 2× 2 × 2 quantum system, even if the correlation does not exhibit genuine nonlocality or genuine steering.