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Trapped Ion Quantum Computing

Parametric resonant enhancement of motional entanglement under optimal control: an analytical study

arXiv
Authors: Gad Horovitz, Alexander N. Poddubny

Year

2025

Paper ID

50965

Status

Preprint

Abstract Read

~2 min

Abstract Words

91

Citations

N/A

Abstract

We study theoretically continuous-variable entanglement between the motional degrees of freedom of optically trapped massive particles coupled via the Coulomb interaction, in the presence of a feedback control scheme. We perform a detailed analysis of the parametric resonance induced by temporal modulation of the coupling strength, based on the system's coupled nonlinear, nonhomogeneous dynamical equations. Our model accurately reproduces the numerical findings and provides closed-form expressions for the entanglement degree. We demonstrate that a stationary nonequilibrium entangled state is realized as a result of the competition between parametric gain and decoherence.

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  • We study theoretically continuous-variable entanglement between the motional degrees of freedom of optically trapped massive particles coupled via the Coulomb interaction, in...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2510.18427 [2] arXiv https://arxiv.org/abs/2510.18427 [3] Publisher https://arxiv.org/abs/2510.18427

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