We　propose　a　scheme　for　quantum　state　transfer　within　the　high-dimensional　state　subspaces　between　any　two　nodes　in　a　quantum　network.　The　states　are　encoded　in　the　collective　ground　states　of　multiple　atoms.　The　transfer　processes　are　controlled　by　only　applying　external　laser　pulses.　The　prominent　feature　of　the　scheme　is　that　the　state　transfer　of　any　dimension　can　be　achieved　through　virtually　coupling　all　the　excitations　of　the　total　system.　©　2015,　Springer　Science+Business　Media　New　York.