Effect of pulse error accumulation on dynamical decoupling of the electron spins of phosphorus donors in silicon

TitleEffect of pulse error accumulation on dynamical decoupling of the electron spins of phosphorus donors in silicon
Publication TypeJournal Article
Year of Publication2012
AuthorsWang ZH, Zhang WX, Tyryshkin AM, Lyon SA, Ager JW, Haller EE, Dobrovitski VV
Journal TitlePhysical Review B
Volume85
Pages085206
Date Published02
Type of ArticleArticle
ISBN Number1098-0121
Accession NumberWOS:000300240100003
KeywordsCOMPUTER, decoherence, dot, LATTICE, memory, nuclear-spin, quantum computation, relaxation, resonance experiments, states, systems
Abstract

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.

URL<Go to ISI>://WOS:000300240100003
DOI10.1103/PhysRevB.85.085206
Alternate JournalPhys. Rev. B