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arXiv · 1509.07425

Bound entanglement and distillability of multipartite quantum systems

Hui Zhao·Xinyu Yu·Naihuan Jing
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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.

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Hui Zhao, Xinyu Yu, Naihuan Jing. 2015-09-24. Bound entanglement and distillability of multipartite quantum systems. https://doi.org/10.1142/s0219749915500367

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