  Dynamical decoupling (DD) is a promising technique for mitigating errors in
near term quantum devices. However, its effectiveness depends on both hardware
characteristics and algorithm implementation details. This paper explores the
synergistic effects of dynamical decoupling and optimized circuit design in
maximizing the performance and robustness of algorithms on near term quantum
devices. By utilizing eight IBM quantum devices, we analyze how hardware
features and algorithm design impact the effectiveness of DD for error
mitigation. Our analysis takes into account factors such as circuit fidelity,
scheduling duration, and hardware native gate set. We also examine the
influence of algorithmic implementation details including specific gate
decompositions, DD sequences, and optimization levels. The results reveal an
inverse relationship between the effectiveness of DD and the inherent
performance of the algorithm. Furthermore, we emphasize the importance of gate
directionality and circuit symmetry in improving performance. This study offers
valuable insights for optimizing DD protocols and circuit designs, highlighting
the significance of a holistic approach that leverages both hardware features
and algorithm design for high quality and reliable execution of near term
quantum algorithms.
