  Color centers in solids, such as the nitrogen-vacancy center in diamond,
offer well-protected and well-controlled localized electron spins that can be
employed in various quantum technologies. Moreover, the long coherence time of
the surrounding spinful nuclei can enable a robust quantum register controlled
through the color center. We design pulse sequence protocols that drive the
electron spin to generate robust entangling gates with these nuclear memory
qubits. We find that compared to using Carr-Purcell-Meiboom-Gill (CPMG) alone,
Uhrig decoupling sequence and hybrid protocols composed of CPMG and Uhrig
sequences improve these entangling gates in terms of fidelity, spin control
range, and spin selectivity. We provide analytical expressions for the sequence
protocols and also show numerically the efficacy of our method on
nitrogen-vacancy centers in diamond. Our results are broadly applicable to
color centers weakly coupled to a small number of nuclear spin qubits.
