Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Experimental Uhrig Dynamical Decoupling Using Trapped Ions



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


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.
Physical Review A (Atomic, Molecular and Optical Physics)


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


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], (Accessed June 21, 2024)


If you have any questions about this publication or are having problems accessing it, please contact

Created June 25, 2009, Updated February 19, 2017