Noise resistant quantum control using dynamical invariants

Amikam Levy, A. Kiely, J. G. Muga, R. Kosloff, E. Torrontegui

Research output: Contribution to journalArticlepeer-review

40 Scopus citations


A systematic approach to design robust control protocols against the influence of different types of noise is introduced. We present control schemes which protect the decay of the populations avoiding dissipation in the adiabatic and nonadiabatic regimes and minimize the effect of dephasing. The effectiveness of the protocols is demonstrated in two different systems. Firstly, we present the case of population inversion of a two-level system in the presence of either one or two simultaneous noise sources. Secondly, we present an example of the expansion of coherent and thermal states in harmonic traps, subject to noise arising from monitoring and modulation of the control, respectively.

Original languageEnglish
Article number025006
JournalNew Journal of Physics
Issue number2
StatePublished - Feb 2018
Externally publishedYes

Bibliographical note

Funding Information:
We acknowledge L McCaslin for fruitful discussions, funding by the Israeli Science Foundation, the US Army Research Office under Contract W911NF-15-1-0250, the Basque Government (Grant No. IT986-16), MINECO/FEDER,UE (Grants No. FIS2015-70856-P and No. FIS2015-67161-P), and QUITEMAD+CM S2013-ICE2801.

Publisher Copyright:
© 2018 The Author(s). Published by IOP Publishing Ltd on behalf of Deutsche Physikalische Gesellschaft.


  • dynamical invariant
  • quantum control
  • quantum noise
  • shortcuts to adiabaticity


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