Enhancing the robustness of dynamical decoupling sequences with correlated random phases

We show that the addition of correlated phases to the recently developed method of randomized dynamical decoupling pulse sequences [Physical Review Letters 122, 200403 (2019)] can improve its performance in quantum sensing. In particular, by correlating the relative phases of basic pulse units in dynamical decoupling sequences, we are able to improve the suppression of the signal distortion due to $\pi$ pulse imperfections and spurious responses due to finite-width $\pi$ pulses. This enhances selectivity of quantum sensors such as those based on NV centers in diamond.