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In the present work, we study tripartite quantum steering of quantumcorrelations arising from two local dichotomic measurements on each side in thetwo types of partially device-independent scenarios: $1$-sideddevice-independent scenario where one of the parties performs untrustedmeasurements while the other two parties perform trusted measurements and$2$-sided device-independent scenario where one of the parties performs trustedmeasurements while the other two parties perform untrusted measurements. Wedemonstrate that tripartite steering in the $2$-sided device-independentscenario is weaker than tripartite steering in the $1$-sided device-independentscenario by using two families of quantum correlations. That is these twofamilies of quantum correlations in the $2$-sided device-independent frameworkdetect tripartite entanglement through tripartite steering for a larger regionthan that in the $1$-sided device-independent framework. It is shown thattripartite steering in the $2$-sided device-independent scenario implies thepresence of genuine tripartite entanglement of $2\times 2 \times 2$ quantumsystem, even if the correlation does not exhibit genuine nonlocality or genuinesteering.

Tripartite entanglement detection through tripartite quantum steering in one-sided and two-sided device-independent scenarios