Reconstructing the phonon distribution of trapped ions out of the Lamb-Dicke regime
quant-ph
Submitted: 2026-09-21
Updated: 2026-10-15
License: http://creativecommons.org/licenses/by/4.0/
The gist: Characterizing the phonon distribution of trapped-ion motional states is essential for many applications in quantum information processing, but existing methods become ill-conditioned beyond the
Terminology
Abstract
Characterizing the phonon distribution of trapped-ion motional states is essential for many applications in quantum information processing, but existing methods become ill-conditioned beyond the Lamb-Dicke regime. We overcome this limitation by recasting phonon-state reconstruction as a filter-function inversion problem. Using composite pulses on the carrier and multiple sidebands, we engineer well-conditioned filters in phonon space to characterize pure and mixed states, study heating dynamics, and reconstruct Fock states up to n=250.
Sources
- Programmable quantum simulation of anharmonic dynamics
- Non-linear cooling and control of a mechanical quantum harmonic oscillator
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