2010/11/30 by Zhi-Hui Wang, Zhi‐Hui Wang, Wenxian Zhang +8 · 51 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Atomic physics #Coherence (philosophical gambling strategy) #Computational physics #Concatenation (mathematics) #Condensed matter physics #Decoupling (probability) #Dynamical decoupling #Electron #Mathematics #Molecular physics #Optoelectronics #Physics #Pulse (music) #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Quantum optics and atomic interactions #Qubit #Silicon #Spin (aerodynamics) #Spins #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1103/physrevb.85.085206
published in Physical Review B 85(8) (American Physical Society) · 13 pages, 5 figures
arxiv created 2012/01/03 · openalex publication_date 2012/02/14 · arxiv updated 2012/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Dynamical decoupling (DD) is an efficient tool for preserving quantum coherence in solid-state spin systems. However, the imperfections of real pulses can ruin the performance of long DD sequences. We investigate the accumulation and compensation of different pulse errors in DD using the electron spins of phosphorus donors in silicon as a test system. We study periodic DD sequences based on spin rotations about two perpendicular axes, and their concatenated and symmetrized versions. We show that pulse errors may quickly destroy some spin states, but maintain other states with high fidelity over long times. Pulse sequences based on spin rotations about x and y axes outperform those based on x and z axes due to the accumulation of pulse errors. Concatenation provides an efficient way to suppress the impact of pulse errors, and can maintain high fidelity for all spin components: pulse errors do not accumulate (to first order) as the concatenation level increases, despite the exponential increase in the number of pulses. A symmetrized DD sequence cancels the first-order pulse errors. Our theoretical model gives a clear qualitative picture of the error accumulation and produces results in quantitative agreement with the experiments.