The great potential of quantum computing requires two essential ingredients for its realiza-tion: high-delity quantum logic operations and a physical implementation which can be scaled up to large numbers of quantum bits . We introduce a trapped-ion qubit stored in ultra-stable \atomic clock" states of 43Ca+, in which we implement all single-qubit operations with delities sucient for fault-tolerant quantum computing. We measure a combined qubit state preparation and single-shot readout delity of 99.93%, a memory coherence time of T2 = 50 seconds, and an average single-qubit gate delity of 99.9999%. These results are achieved in a room-temperature device without the use of magnetic eld shielding or dynamic decoupling techniques to overcome technical noise. The surface electrode ion trap chip incorporates integrated resonators and waveguides for coherent manipulation of the qubit using near-eld microwaves . Two-qubit gates  and individual qubit addressing  have already been demonstrated using this approach, which is scalable for a many-qubit architecture.