  We present a fast phase gate scheme that is experimentally achievable and has
an operation time more than two orders of magnitude faster than current
experimental schemes for low numbers of pulses. The gate time improves with the
number of pulses following an inverse power law. Unlike implemented schemes
which excite precise motional sidebands, thus limiting the gate timescale, our
scheme excites multiple motional states using discrete ultra-fast pulses. We
use beam-splitters to divide pulses into smaller components to overcome
limitations due to the finite laser pulse repetition rate. This provides gate
times faster than proposed theoretical schemes when we optimise a practical
setup.
