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We present a detailed experimental study of the Uhrig Dynamical Decoupling(UDD) sequence in a variety of noise environments. Our qubit system consists ofa crystalline array of $^{9}$Be$^{+}$ ions confined in a Penning trap. We usean electron-spin-flip transition as our qubit manifold and drive qubitrotations using a 124 GHz microwave system. We study the effect of the UDDsequence in mitigating phase errors and compare against the well knownCPMG-style multipulse spin echo as a function of pulse number, rotation axis,noise spectrum, and noise strength. Our results agree well with theoreticalpredictions for qubit decoherence in the presence of classical phase noise,accounting for the effect of finite-duration $\pi$ pulses. Finally, wedemonstrate that the Uhrig sequence is more robust against systematicover/underrotation and detuning errors than is multipulse spin echo, despitethe precise prescription for pulse-timing in UDD.

Experimental Uhrig Dynamical Decoupling using Trapped Ions