Genuine multiqubit entanglement and controlled teleportation

Abstract

We construct a genuine $(2N+1)$-qubit entangled state to perform controlled teleportation of an arbitrary $N$-qubit state. The constructed state is a complementarity to the genuine $2N$-qubit entangled state constructed by Yeo and Chua for $N=2$ [Phys. Rev. Lett. 96, 060502 (2006)] and by Chen, Zhu, and Guo for any $N$ [Phys. Rev. A 74, 032324 (2006)]. We also quantify the entanglement of the state and classify it with the well-known $GHZ$ and $W$ states by means of the recently proposed generalized global entanglement and the associated auxiliary measures [Phys. Rev. A 74, 022314 (2006)]. Our study is of general importance with respect to exploring and exploiting the genuine multiqubit entanglement.