  We use electronic microwave control methods to implement addressed
single-qubit gates with high speed and fidelity, for $^{43}\text{Ca}^{+}$
hyperfine "atomic clock" qubits in a cryogenic (100K) surface trap. For a
single qubit, we benchmark an error of $1.5$ $\times$ $10^{-6}$ per Clifford
gate (implemented using $600~\text{ns}$ $\pi/2$-pulses). For two qubits in the
same trap zone (ion separation $5~\mu\text{m}$), we use a spatial microwave
field gradient, combined with an efficient 4-pulse scheme, to implement
independent addressed gates. Parallel randomized benchmarking on both qubits
yields an average error $3.4$ $\times$ $10^{-5}$ per addressed $\pi/2$-gate.
The scheme scales theoretically to larger numbers of qubits in a single
register.
