  Trapped ions are one of the most promising platforms for quantum computing
due to the longest qubit coherence times and the highest gate fidelities.
However, scaling the number of ions (qubits) in a linear Coulomb crystal is the
key difficulty on the way to multi-qubit systems. One of the promising pathways
to scale the number of qubits is to implement the pulsed non-adiabatic gates
based on the sequence of State Dependent Kicks (SDKs). We have analytically and
numerically studied the influence of coherent effects in the SDK sequence and,
correspondingly, have deduced the influence of the individual SDK error on the
net gate fidelity. We have shown that the coherence effects significantly
impact the fidelity of non-adiabatic gates and must be taken into the account.
As practical examples, we have developed a numerical model for full simulation
of coherence effects using a linear ion microtrap array and a 2D microtrap
array. We have also studied the dependency of the gate fidelity on the laser
power fluctuations.
