Counteracting systems of diabaticities using DRAG controls: The status after 10 years (a)

2018/09/13 by L. S. Theis, F. Motzoi, S. Machnes +1 · 59 citations
Computer Science · Physics and Astronomy · #Adiabatic process #Bandwidth (computing) #Control theory (sociology) #Drag #Hamiltonian (control theory) #Mechanical and Optical Resonators #Quantum #Quantum Information and Cryptography #Quantum chaos and dynamical systems #Sideband #quant-ph

paper · pdf · doi:10.1209/0295-5075/123/60001

published in Europhysics Letters (EPL) 123(6), 60001 (Institute of Physics) · 7 pages, 2 figures

arxiv created 2018/09/13 · openalex created_date 2018/09/27 · openalex publication_date 2018/10/03 · arxiv updated 2018/10/11 · openalex updated_date 2026/08/06

Abstract

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.

Citations

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