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

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.

14 pages, 4 figures, accepted for publication in Physical Review A

References in corpus (5)

• Entanglement detection
• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Genuine High-Order Einstein-Podolsky-Rosen Steering
• Addendum to "Sufficient conditions for three-particle entanglement and their tests in recent experiments"
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Cited by in corpus (15)

• Facets of bipartite nonlocality sharing by multiple observers via sequential measurements
• Detection of genuine tripartite entanglement by multiple sequential observers
• Sharing of tripartite nonlocality by multiple observers measuring sequentially at one side
• Genuine Einstein-Podolsky-Rosen steering of three-qubit states by multiple sequential observers
• Complementarity Relations Between Quantum Steering Criteria
• Demonstrating shareability of multipartite Einstein-Podolsky-Rosen steering
• Gaussian tripartite steering in Schwarzschild black hole
• Distillation of genuine tripartite Einstein-Podolsky-Rosen steering
• Operational nonclassicality of local multipartite correlations in the limited-dimensional simulation scenario
• Mesoscopic and macroscopic quantum correlations in photonic, atomic and optomechanical systems
• Detection of Network and Genuine Network Quantum Steering
• Experimental distillation of tripartite quantum steering with an optimal local filtering operation
• Characterization of the quantumness of unsteerable tripartite correlations
• Detecting Tripartite Steering via Quantum Entanglement
• "All-versus-nothing" proof of genuine tripartite steering and entanglement certification in the two-sided device-independent scenario