Robustness of composite pulses to time-dependent control noise
Journal Article
We study the performance of composite pulses in the presence of time-varying control noise on a single qubit. These protocols, originally devised only to correct for static, systematic errors, are shown to be robust to time-dependent non-Markovian noise in the control field up to frequencies as high as ∼10% of the Rabi frequency. Our study combines a generalized filter-function approach with asymptotic dc-limit calculations to give a simple analytic framework for error analysis applied to a number of composite-pulse sequences relevant to nuclear magnetic resonance as well as quantum information experiments. Results include examination of recently introduced concatenated composite pulses and dynamically corrected gates, demonstrating equivalent first-order suppression of time-dependent fluctuations in amplitude and/or detuning, as appropriate for the sequence in question. Our analytic results agree well with numerical simulations for realistic 1/f noise spectra with a roll-off to 1/f2, providing independent validation of our theoretical insights. © 2014 American Physical Society.
Full Text
Duke Authors
Cited Authors
- Kabytayev, C; Green, TJ; Khodjasteh, K; Biercuk, MJ; Viola, L; Brown, KR
Published Date
- July 14, 2014
Published In
Volume / Issue
- 90 / 1
Electronic International Standard Serial Number (EISSN)
- 1094-1622
International Standard Serial Number (ISSN)
- 1050-2947
Digital Object Identifier (DOI)
- 10.1103/PhysRevA.90.012316
Citation Source
- Scopus