arXiv:1506.08396 · Physical Review A
Systematics of entanglement distribution by separable states
Vahid Karimipour, Laleh Memarzadeh, Najmeh Tabe Bordbar
Abstract
We show that three distant parties, $A$, $B$, and $C$, having no prior entanglement can establish a shared GHZ state by mediating two particles which remain separable from each other and from all the other parties throughout the process. The success probability is $1/7$. We prove this in a general framework for systematic distribution of entangled states between two and more parties with separable states in $d$ dimensions. The proposed method may facilitate the construction of multinode quantum networks and many other processes which use multipartite entangled states.