  We trap individual $^{171}$Yb$^+$ ions in a surface trap microfabricated on a
silicon substrate, and demonstrate a complete set of high fidelity single qubit
operations for the hyperfine qubit. Trapping times exceeding 20 minutes without
laser cooling, and heating rates as low as 0.8(0.1) quanta/ms indicate stable
trapping conditions in these microtraps. A coherence time of more than one
second, high fidelity qubit state detection and single qubit rotations are
demonstrated.

Quantum Physics;Atomic Physics