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