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We propose a quantum control scheme aimed at interacting systems that givesrise to highly selective coupling among their near-to-resonance constituents.Our protocol implements temporal control of the interaction strength, switchingit on and off again adiabatically. This soft temporal modulation significantlysuppresses off-resonant contributions in the interactions. Among theapplications of our method we show that it allows us to perform an efficientrotating-wave approximation in a wide parameter regime, the elimination of sidepeaks in quantum sensing experiments, and selective high-fidelity entanglementgates on nuclear spins with close frequencies. We apply our theory tonitrogen-vacancy centers in diamond and demonstrate the possibility for thedetection of weak electron-nuclear coupling under the presence of strongperturbations.

Soft Quantum Control for Highly Selective Interactions among Joint Quantum Systems