Teleportation and Dense Coding with Genuine Multipartite Entanglement

TLDR

The four‑partite state employed is not reducible to a pair of Bell states. The authors propose protocols for faithfully teleporting arbitrary two‑qubit states and for dense coding using a genuine four‑qubit entangled state. The protocols employ a genuine four‑qubit entangled state whose properties are compared to GHZ and W states, enabling two‑qubit teleportation and dense coding. The results show that this four‑qubit state is a promising candidate for a genuine four‑partite analogue of a Bell state.

Abstract

We present an explicit protocol ${\mathcal{E}}_{0}$ for faithfully teleporting an arbitrary two-qubit state via a genuine four-qubit entangled state. By construction, our four-partite state is not reducible to a pair of Bell states. Its properties are compared and contrasted with those of the four-party Greenberger-Horne-Zeilinger and $W$ states. We also give a dense coding scheme ${\mathcal{D}}_{0}$ involving our state as a shared resource of entanglement. Both ${\mathcal{D}}_{0}$ and ${\mathcal{E}}_{0}$ indicate that our four-qubit state is a likely candidate for the genuine four-partite analogue to a Bell state.