A Peculiar Tripartite Entangled State

Huang Yan-Xia, Yu Ya-Fei, Mingsheng Zhan · Chinese Physics Letters · 2003

We present a scheme to prepare two-atom Einstein-Podolsky-Rosen states and three-atom entangled states via cavity quantum electrodynamics, and it can be realized experimentally. Importantly, we find that in the set of tripartite entangled states prepared by our scheme there is a peculiar tripartite entangled state except the Greenberger-Horne-Zeilinger (GHZ) state. The peculiar tripartite entangled states have double feature of the GHZ state (i.e. τ 123 >0) and W state (i.e. the remaining reduce density matrices ρ ij retain entanglement according to the positive partial transformation (PPT) criterion) simultaneously. However, its entanglement properties are not completely identical either to the GHZ state or to the W state. It is interesting that for peculiar entanglement properties, the remaining reduced density matrices ρ ij can retain entanglement or disentanglement independently, which can be chosen freely according to our need.

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