  Trapped ions are one of the most promising approaches for the realization of
a universal quantum computer. Faster quantum logic gates could dramatically
improve the performance of trapped-ion quantum computers, and require the
development of suitable high repetition rate pulsed lasers. Here we report on a
robust frequency upconverted fiber laser based source, able to deliver 2.5 ps
ultraviolet (UV) pulses at a stabilized repetition rate of 300.00000 MHz with
an average power of 190 mW. The laser wavelength is resonant with the strong
transition in Ytterbium (Yb+) at 369.53 nm and its repetition rate can be
scaled up using high harmonic mode locking. We show that our source can produce
arbitrary pulse patterns using a programmable pulse pattern generator and fast
modulating components. Finally, simulations demonstrate that our laser is
capable of performing resonant, temperature-insensitive, two-qubit quantum
logic gates on trapped Yb$^+$ ions faster than the trap period and with
fidelity above 99%.
