Nonlinear Coupling between Motional Modes in Trapped Ion Quantum Processors
- URL: http://arxiv.org/abs/2510.07590v1
- Date: Wed, 08 Oct 2025 22:25:55 GMT
- Title: Nonlinear Coupling between Motional Modes in Trapped Ion Quantum Processors
- Authors: Wes Johnson, Brandon Ruzic,
- Abstract summary: We develop a model to identify and simulate nonlinear motional-mode coupling (NoMoCou) arising from third-order Coulomb terms.<n>We provide design rules to tune operating points from low-order resonances, tune trap anisotropy to reshape spectra, and shape gate waveforms.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Trapped-ion crystals are a leading platform for quantum information science, but achieving the high-fidelity entangling gates required for fault-tolerant quantum computing becomes harder as system size increases. As systems scale, spectral crowding makes low-order nonlinear resonances between collective motional modes increasingly common and can limit gate performance, especially in monolithic or global-mode architectures. We develop a general model to identify and simulate nonlinear motional-mode coupling (NoMoCou) arising from third-order Coulomb terms and quantify its impact on the Molmer-Sorensen gate across linear chains and 2D crystals in rf and Penning traps. We delineate the regimes where NoMoCou dominates the error budget and provide design rules: detune operating points from low-order resonances, tune trap anisotropy to reshape spectra, and shape gate waveforms.
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