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This study advances trapped-ion quantum computing by solving the ill-conditioned reconstruction of phonon states beyond the Lamb-Dicke regime, enabling the characterization of Fock states up to n=250. By reformulating the problem as a filter-function inversion using composite pulses, researchers can now accurately analyze heating dynamics and mixed states in larger motional spaces. This methodological breakthrough is critical for scaling quantum information processing systems that rely on precise control over ion motional modes.
Reconstructing the phonon distribution of trapped ions out of the Lamb-Dicke regime
arXiv:2609.24147v1 Announce Type: new 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 $n=250$.
Authors:Christophe H. Valahu (1 and 2), Prachi Nagpal (1), Teerawat Chalermpusitarak (1 and 2), Maverick J. Millican (1), Cameron McGarry (1 and 2), Frank Scuccimarra (1), Vassili G. Matsos (1), Hon-Kwan Chan (1), Ting Rei Tan (1 and 2) ((1) School of Physics, University of Sydney, NSW, Australia, (2) Sydney Nano Institute, University of Sydney, NSW, Australia)
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 $n=250$.
arXiv:2609.24147 [quant-ph]
(or arXiv:2609.24147v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2609.24147 arXiv-issued DOI via DataCite (pending registration)
Full text under the publisher's open licence · 143 words
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