Transferring Multi-Dimensional Quantum States and Preparing QuantumNetworks in Cavity QED

In this paper we propose a scheme for transferring quantum states andpreparing quantum networks. Compared with the previous schemes, this scheme is more efficient, since three or four-dimensional quantum states can be transferred with a single step and information interchange of three-dimensional quantum states can be realized, which is a significant improvement. It is based on the resonant interaction of a three-mode cavityfield with an atom. As a consequence, the interaction time is shortenedgreatly. Furthermore, we give some discussions about the feasibility of the scheme.