Volume 123, Number 6, September 2018
|Number of page(s)||7|
|Published online||03 October 2018|
Counteracting systems of diabaticities using DRAG controls: The status after 10 years(a)
1 Theoretical Physics, Saarland University - 66123 Saarbrücken, Germany
2 Department of Physics and Astronomy, Aarhus University - Aarhus, Denmark
Received: 13 September 2018
Accepted: 13 September 2018
The task of controlling a quantum system under time and bandwidth limitations is made difficult by unwanted excitations of spectrally neighboring energy levels. In this article we review the Derivative Removal by Adiabatic Gate (DRAG) framework. DRAG is a multi-transition variant of counterdiabatic driving, where multiple low-lying gapped states in an adiabatic evolution can be avoided simultaneously, greatly reducing operation times compared to the adiabatic limit. In its essence, the method corresponds to a convergent version of the superadiabatic expansion where multiple counterdiabaticity conditions can be met simultaneously. When transitions are strongly crowded, the system of equations can instead be favorably solved by an average Hamiltonian (Magnus) expansion, suggesting the use of additional sideband control. We give some examples of common systems where DRAG and variants thereof can be applied to improve performance.
PACS: 02.30.Yy – Control theory / 03.67.-a – Quantum information / 82.56.Jn – Pulse sequences in NMR
© EPLA, 2018
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