Methodology for quantum logic gate construction

We present a general method to construct fault-tolerant quantum logic gates with a simple primitive, which is an analog of quantum teleportation. The technique extends previous results based on traditional quantum teleportation Gottesman and Chuang, Nature (London) 402, 390 (1999) and leads to straightforward and systematic construction of many fault-tolerant encoded operations, including the /8 and Toffoli gates. The technique can also be applied to the construction of remote quantum operations that cannot be directly performed.