Efficiency Of Dynamical Decoupling Sequences In The Presence Of Pulse Errors

We study the efficiency of dynamical decoupling sequences in the presence ofsmall errors in the x-axis direction of the controlling pulses. When the correspondingideal dynamical decoupling sequence produces good results, the impact of the errors isfound with negligible first-order effect. This analytical prediction is numerically testedin a model where the environment is modeled by one qubit coupled to a quantum kickedrotator in chaotic motion. In this model and in another model where the incontinuousenvironment is only a quantum kicked rotator, with periodic pulses applied to the qubitin the environment, it is found numerically that the periodic bang-bang control mayoutperform Uhrig dynamical decoupling.