Abstract: It can generate the cluster states for quantum computing in the spin chain with XY interactions by two step operations. The fidelity of the generated cluster states becomes smaller and smaller with the increase of the spin number when we take the next-nearest-neighbor interactions into account.The research showed that the periodic dynamical decoupling（PDD） could effectively suppress the noise of next-nearest-neighbor interactions. As everyone knows，Uhrig dynamical decoupling（UDD） generally performs better than PDD on noise suppressing. We provided the scheme of eliminating the next-nearest-neighbor interactions with UDD，the results showed that the fidelity of cluster states with UDD was bigger than that of PDD when the number of applied pulse was the same，that is to say，UDD was better than PDD for suppressing nextnearest-neighbor interactions in XY model.

Key words: Uhrig dynamical decoupling（UDD）, cluster states, noise, periodic dynamical decoupling