Robustness of composite pulses to time-dependent control noise

Chingiz Kabytayev, Todd J. Green, Kaveh Khodjasteh, Michael J. Biercuk, Lorenza Viola, and Kenneth R. Brown
Phys. Rev. A 90, 012316 – Published 14 July 2014

Abstract

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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 24 February 2014
  • Revised 19 May 2014

DOI:https://doi.org/10.1103/PhysRevA.90.012316

©2014 American Physical Society

Authors & Affiliations

Chingiz Kabytayev1, Todd J. Green2, Kaveh Khodjasteh3, Michael J. Biercuk2, Lorenza Viola3, and Kenneth R. Brown1,*

  • 1Schools of Chemistry and Biochemistry, Computational Science and Engineering, and Physics, Georgia Institute of Technology, Atlanta, Georgia 30332-0400, USA
  • 2ARC Centre for Engineered Quantum Systems, School of Physics, The University of Sydney, Sydney, New South Wales 2006, Australia
  • 3Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire 03755, USA

  • *ken.brown@chemistry.gatech.edu

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 90, Iss. 1 — July 2014

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×