Quantum logic gate constructions with one-bit "teleportation"

Abstract

We present a general method to construct quantum logic gates using one-bit ``teleportation'' as a basic primitive, extending previous results based on traditional two-bit teleportation (D. Gottesman and I. L. Chuang, Nature {\bf 402}, 390, 1999). This allows the realization of a variety of useful quantum operations that cannot be directly performed due to some physical constraints. In particular, this technique leads to straightforward and systematic construction of many fault-tolerant encoded operations, including the $\pi/8$ and Toffoli gates, and remote quantum operations.