We　propose　a　protocol　to　realize　quantum　logic　gates　for　two　remote　qubits　via　entanglement　swapping.　According　to　the　scheme　of　quantum　repeater　presented　by　H.J.　Briegel　et　al.,　we　can　complete　long-distance　communication　and　computation.　Compared　with　previous　schemes　through　noisy　channels,　our　protocol　can　overcome　the　limitation　that　error　probability　scales　exponentially　with　the　length　of　the　channel.　We　illustrate　this　protocol　in　cavity　QED　system,　but　the　idea　can　also　be　realized　in　other　physical　systems.　(C)　2008　Elsevier　B.V.　All　rights　reserved.