Experimental Uhrig Dynamical Decoupling Using Trapped Ions

Published

June 25, 2009

Author(s)

Michael J. Biercuk, Hermann Uys, Aaron Vandevender, Nobuyasu Shiga, Wayne M. Itano, John J. Bollinger

Abstract

We present a detailed experimental study of the Uhrig Dynamical Decoupling (UDD) sequence in a variety of noise environments. Our qubit system consists of a crystalline array of ⁹Be⁺ ions confined in a Penning trap. We use an electron-spin-flip transition as our qubit manifold and drive qubit rotations using a quasi-optical 124 GHz microwave system. We study the effect of the UDD sequence in mitigating phase errors and compare against the well-known CPMG-style spin echo as a function of pulse number, rotation axis, noise spectrum, and noise strength. Our results show good agreement with theoretical predictions for qubit decoherence in the presence of classical phase noise, accounting for the effect of finite-duration π pulses. Finally, we demonstrate that the Uhrig sequence is more robust against systematic over/underrotation and detuning errors than is multipulse spin echo, despite the precise prescription for pulse-timing in UDD.

Citation

Physical Review A (Atomic, Molecular and Optical Physics)

Volume

79

Pub Type

Journals

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Keywords

qubit, quantum computation, quantum errors, quantum error correction, decoherence, dephasing, dynamical decoupling, Uhrig, trapped ion

Citation

Biercuk, M. , Uys, H. , Vandevender, A. , Shiga, N. , Itano, W. and Bollinger, J. (2009), Experimental Uhrig Dynamical Decoupling Using Trapped Ions, Physical Review A (Atomic, Molecular and Optical Physics), [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=901510 (Accessed October 6, 2025)