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

## TL;DR

This paper investigates tripartite quantum steering in one-sided and two-sided device-independent scenarios, revealing that two-sided steering is weaker but still sufficient to detect genuine tripartite entanglement.

## Contribution

It introduces a comparative analysis of tripartite steering in different device-independent frameworks and establishes that two-sided steering can detect entanglement beyond one-sided scenarios.

## Key findings

- Two-sided device-independent steering detects entanglement in larger regions.
- Tripartite steering implies genuine tripartite entanglement even without nonlocality.
- Two-sided steering is weaker but more inclusive than one-sided steering.

## 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 $2\times 2 \times 2$ quantum system, even if the correlation does not exhibit genuine nonlocality or genuine steering.