Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2201.07555 · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences

Fast ion shuttling which is robust versus oscillatory perturbations

Hilario Espinós, Javier Echanobe, X.-J. Lu, Juan Gonzalo Muga

Published Nov 6, 2022• 2 citations
arXivHTMLPDF

Abstract

Shuttling protocols designed by shortcut-to-adiabaticity techniques may suffer from perturbations and imperfect implementations. We study the motional excitation of a single ion shuttled in harmonic traps with time-dependent, 'systematic' oscillatory perturbations around the nominal parameters. These elementary perturbations could form any other by superposition. Robust shuttling strategies are proposed and compared, and optimizations are performed. This article is part of the theme issue 'Shortcuts to adiabaticity: theoretical, experimental and interdisciplinary perspectives'.

DOI
10.1098/rsta.2021.0269

Related papers

Fast and robust particle shuttling for quantum science and technology

Luke Qi, John Chiaverini, Hilario Espinós +2 more

Abstract We review methods to shuttle quantum particles fast and robustly. Ideal robustness amounts to the invariance of the desired transport results with respect to deviations, noisy or otherwise, from the nominal driving protocol for the control parameters; this can include environmental perturbations. “Fast” is defined with respect to adiabatic transport times. Special attention is paid to shortcut-to-adiabaticity protocols that achieve, in faster-than-adiabatic times, the same results of slow adiabatic driving.

arXiv:2104.07362•Europhysics Letters (EPL)•Apr 1, 2021•11 citations

Fast shuttling of a trapped ion in the presence of noise

Xiao-Jing Lu, Juan Gonzalo Muga, Xi Chen +3 more

We theoretically investigate the motional excitation of a single ion caused by spring-constant and position fluctuations of a harmonic trap during trap shuttling processes. A detailed study of the sensitivity on noise for several transport protocols and noise spectra is provided. The effect of slow spring-constant drifts is also analyzed. Trap trajectories that minimize the excitation are designed combining invariant-based inverse engineering, perturbation theory, and optimal control.

arXiv:1404.4257•Physical Review A•Jun 18, 2014•46 citations

Fast transport of two ions in an anharmonic trap

Mikel Palmero, E. Torrontegui, David Guéry-Odelin +1 more

We design fast trajectories of a trap to transport two ions using a shortcut-to-adiabaticity technique based on invariants. The effects of anharmonicity are analyzed first perturbatively, with an approximate, single relative-motion mode, description. Then, we use classical calculations and full quantum calculations. This allows us to identify discrete transport times that minimize excitation in the presence of anharmonicity. An even better strategy to suppress the effects of anharmonicity in a continuous range of transport times is to modify the trajectory using an effective trap frequency shifted with respect to the actual frequency by the coupling between relative and center-of-mass motions.

arXiv:1309.5634•Physical Review A•Nov 21, 2013•46 citations

Transport in a harmonic trap: Shortcuts to adiabaticity and robust protocols

David Guéry-Odelin, Juan Gonzalo Muga

We study the fast transport of a particle or a Bose-Einstein condensate in a harmonic potential. An exact expression for the final excitation energy in terms of the Fourier transform of the trap acceleration is used to engineer optimal transport protocols (with no final excitation) that are robust with respect to spring-constant errors. The same technique provides a way to design the simultaneous and robust transport of a few noninteracting species that experience different harmonic trap frequencies in the same trap.

arXiv:1410.4957•Physical Review A•Dec 23, 2014•61 citations

Shortcuts to adiabaticity in two-level systems: control and optimization

A. Ruschhaupt, Juan Gonzalo Muga

We review the design and optimization for two-level systems of ‘shortcuts to adiabaticity’ which are stable with respect to noise or systematic deviations. Contrary to common wisdom, adiabatic approaches are not necessarily more stable than fixed-area pulses. ‘Robustness’ is a relative concept that depends on the type of perturbation. Different perturbations correspond to different optimal protocols.

Journal of Modern Optics•Nov 11, 2013•12 citations

Shortcuts to adiabaticity by counterdiabatic driving for trapped-ion displacement in phase space

Shuoming An, Dingshun Lv, Adolfo del Campo +1 more

The application of adiabatic protocols in quantum technologies is severely limited by environmental sources of noise and decoherence. Shortcuts to adiabaticity by counterdiabatic driving constitute a powerful alternative that speed up time-evolution while mimicking adiabatic dynamics. Here we report the experimental implementation of counterdiabatic driving in a continuous variable system, a shortcut to the adiabatic transport of a trapped ion in phase space. The resulting dynamics is equivalent to a 'fast-motion video' of the adiabatic trajectory. The robustness of this protocol is shown to surpass that of competing schemes based on classical local controls and Fourier optimization methods. Our results demonstrate that shortcuts to adiabaticity provide a robust speedup of quantum protocols of wide applicability in quantum technologies.

arXiv:1601.05551•Nature Communications•Sep 27, 2016•193 citations
Shuttling protocols designed by shortcut-to-adiabaticity techniques may suffer from perturbations and imperfect implementations. We study the motional excitation of a single ion shuttled in harmonic traps with time-dependent, 'systematic' oscillatory perturbations around the nominal parameters. These elementary perturbations could form any other by superposition. Robust shuttling strategies are proposed and compared, and optimizations are performed. This article is part of the theme issue 'Shortcuts to adiabaticity: theoretical, experimental and interdisciplinary perspectives'.
Abstract We review methods to shuttle quantum particles fast and robustly. Ideal robustness amounts to the invariance of the desired transport results with respect to deviations, noisy or otherwise, from the nominal driving protocol for the control parameters; this can include environmental perturbations. “Fast” is defined with respect to adiabatic transport times. Special attention is paid to shortcut-to-adiabaticity protocols that achieve, in faster-than-adiabatic times, the same results of slow adiabatic driving.
We design fast trajectories of a trap to transport two ions using a shortcut-to-adiabaticity technique based on invariants. The effects of anharmonicity are analyzed first perturbatively, with an approximate, single relative-motion mode, description. Then, we use classical calculations and full quantum calculations. This allows us to identify discrete transport times that minimize excitation in the presence of anharmonicity. An even better strategy to suppress the effects of anharmonicity in a continuous range of transport times is to modify the trajectory using an effective trap frequency shifted with respect to the actual frequency by the coupling between relative and center-of-mass motions.
We study the fast transport of a particle or a Bose-Einstein condensate in a harmonic potential. An exact expression for the final excitation energy in terms of the Fourier transform of the trap acceleration is used to engineer optimal transport protocols (with no final excitation) that are robust with respect to spring-constant errors. The same technique provides a way to design the simultaneous and robust transport of a few noninteracting species that experience different harmonic trap frequencies in the same trap.
The application of adiabatic protocols in quantum technologies is severely limited by environmental sources of noise and decoherence. Shortcuts to adiabaticity by counterdiabatic driving constitute a powerful alternative that speed up time-evolution while mimicking adiabatic dynamics. Here we report the experimental implementation of counterdiabatic driving in a continuous variable system, a shortcut to the adiabatic transport of a trapped ion in phase space. The resulting dynamics is equivalent to a 'fast-motion video' of the adiabatic trajectory. The robustness of this protocol is shown to surpass that of competing schemes based on classical local controls and Fourier optimization methods. Our results demonstrate that shortcuts to adiabaticity provide a robust speedup of quantum protocols of wide applicability in quantum technologies.