  Quantum platforms based on trapped ions are main candidates to build a
quantum hardware with computational capacities that largely surpass those of
classical devices. Among the available control techniques in these setups,
pulsed dynamical decoupling (pulsed DD) revealed as a useful method to process
the information encoded in ion registers, whilst minimising the environmental
noise over them. In this work, we incorporate a pulsed DD technique that uses
random pulse phases, or correlated pulse phases, to significantly enhance the
robustness of entangling spin-spin dynamics in trapped ions. This procedure was
originally conceived in the context of nuclear magnetic resonance for nuclear
spin detection purposes, and here we demonstrate that the same principles apply
for robust quantum information processing in trapped-ion settings.
