Joint remote preparation of single-photon three-qubit state with hyperentangled state via linear-optical elements

Abstract

Transmitting quantum states securely and efficiently is an important task in quantum communication. In this article, we investigate the protocols for joint remote preparation of arbitrary three-qubit states with three-photon hyperentangled states simultaneously entangled in three degrees of freedom. First, we propose a protocol for deterministic joint remote preparation of a three-qubit state via a hyperentangled state simultaneously entangled in three degrees of freedom based on quantum state initialization. Second, we present a scheme for recursive joint remote preparation of the state via partially hyperentangled state, resorting to linear-optical elements only. The protocol has the advantage of having high channel capacity for joint remote preparing an arbitrary three-qubit state via hyperentangled state. Moreover, it is more convenient in application since it only requires linear-optical elements for joint remote preparation of arbitrary three-qubit state.