Quantum Phase Transition Effect on Dynamical Decoupling: a Case Study

The effect of quantum phase transition (QPT) on the coherence retrieval by dynamical decoupling is discussed explicitly by exemplifications. Two different cases can be identified; For QPT without variant of topology, dynamical decoupling can work better than that without QPT. Whereas the systems have nontrivial topology, it displays limited improvement of retrieval of qubit coherent. This feature can be understood by the fact that dynamical decoupling is physically to average out the effect of harmful local couplings. When nontrivial topology is involved, the local operation becomes invalid. Hence one has to find more efficient way to recover qubit coherence.