In　this　paper　we　propose　a　scheme　for　transferring　quantum　states　and　preparing　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　cavity　field　with　an　atom.　As　a　consequence,　the　interaction　time　is　shortened　greatly.　Furthermore,　we　give　some　discussions　about　the　feasibility　of　the　scheme.