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PreprintCC BY 4.0arXiv

Reconstructing the phonon distribution of trapped ions out of the Lamb-Dicke regime

  • Christophe H. Valahu
  • Prachi Nagpal
  • Teerawat Chalermpusitarak
  • Maverick J. Millican
  • Cameron McGarry
  • Frank Scuccimarra
  • Vassili G. Matsos
  • Hon-Kwan Chan
  • Ting Rei Tan
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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.

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Cite

BibTeXRIS
BibTeX
@misc{valahu2026reconstructing,
  title = {{Reconstructing the phonon distribution of trapped ions out of the Lamb-Dicke regime}},
  author = {Christophe H. Valahu and Prachi Nagpal and Teerawat Chalermpusitarak and Maverick J. Millican and Cameron McGarry and Frank Scuccimarra and Vassili G. Matsos and Hon-Kwan Chan and Ting Rei Tan},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.24147},
  eprint = {2609.24147},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.24147},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Reconstructing the phonon distribution of trapped ions out of the Lamb-Dicke regime
AU  - Christophe H. Valahu
AU  - Prachi Nagpal
AU  - Teerawat Chalermpusitarak
AU  - Maverick J. Millican
AU  - Cameron McGarry
AU  - Frank Scuccimarra
AU  - Vassili G. Matsos
AU  - Hon-Kwan Chan
AU  - Ting Rei Tan
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.24147
UR  - https://arxiv.org/abs/2609.24147
AB  - 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.
ER  -