Fast expansions and compressions of trapped-ion chains
M. Palmero, S. Mart\'inez-Garaot, J. Alonso, J. P. Home, J. G. Muga

TL;DR
This paper develops rapid, low-excitation protocols for expanding and compressing trapped-ion chains, enhancing the speed and efficiency of quantum operations crucial for scalable quantum computing.
Contribution
It introduces a novel method combining normal-mode approximation and inverse engineering to minimize motional excitations during fast ion chain manipulations.
Findings
Protocols significantly reduce transition times.
Minimized motional excitations during expansions/compressions.
Potential to improve scalable quantum information processing.
Abstract
We investigate the dynamics under diabatic expansions/compressions of linear ion chains.Combining a dynamical normal-mode harmonic approximation with the invariant-based inverse-engineering technique, we design protocols that minimize the final motional excitation of the ions. This can substantially reduce the transition time between high and low trap-frequency operations, potentially contributing to the development of scalable quantum information processing.
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