Methodology for quantum logic gate construction - art. no. 052316

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 teleportati on [Gottesman and Chuang, Nature (London) 402, 390 (1999)] and leads to str aightforward and systematic construction of many fault-tolerant encoded ope rations, including the pi /8 and Toffoli gates. The technique can also be a pplied to the construction of remote quantum operations that cannot be dire ctly performed.