Construction of general quantum channel for quantum teleportation

Abstract

We investigate teleportation and controlled teleportation of an arbitrary $$N$$ -qubit state by using a multipartite entanglement channel. By establishing one-to-one correspondence between an $$N$$ -qubit quantum state and a high-dimension quantum state, we construct a general quantum channel for quantum teleportation and controlled teleportation of an arbitrary $$N$$ -qubit state. Furthermore, we generalize the definition of bipartite maximally entangled state for a multi-qubit system, and show that our teleportation protocols can be utilized not only to construct a variety of genuine multipartite entangled states, but also to identify and explore the capability of multipartite entanglement for quantum teleportation and controlled teleportation.