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

Autor: Jebaratnam, C., Das, Debarshi, Roy, Arup, Mukherjee, Amit, Bhattacharya, Some Sankar, Bhattacharya, Bihalan, Riccardi, Alberto, Sarkar, Debasis
Rok vydání: 2017
Předmět:
Zdroj: Phys. Rev. A 98, 022101 (2018)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevA.98.022101
Popis: 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.
Comment: 14 pages, 4 figures, accepted for publication in Physical Review A
Databáze: arXiv