Bound entanglement and distillability of multipartite quantum systems (1509.07425v1)

Abstract: We construct a class of entangled states in $\mathcal{H}=\mathcal{H}{A}\otimes\mathcal{H}{B}\otimes\mathcal{H}{C}$ quantum systems with $dim\mathcal{H}{A}=dim\mathcal{H}{B}=dim\mathcal{H}{C}=2$ and classify those states with respect to their distillability properties. The states are bound entanglement for the bipartite split$(AB)-C$. The states are NPT entanglement and $1$-copy undistillable for the bipartite splits $A-(BC)$ and $B-(AC)$. Moreover, we generalize the results of $2\otimes2\otimes2$ systems to the case of $2n\otimes 2n\otimes2n$ systems.