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This research details the design of planar Penning traps optimized for high harmonicity, which is critical for maintaining coherence in single-electron qubits used in quantum information processing. By analytically treating finite electrode gaps and comparing results with simulations, the study provides a roadmap for scaling these millimeter-scale devices while minimizing anharmonic distortions to trap potentials.
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High-Harmonicity Planar Penning Traps for Single-Electron Qubits

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arXiv:2608.17984v1 Announce Type: new Abstract: We present a detailed account of the design choices required for planar Penning traps that feature a highly harmonic confining potential. High harmonicity is indispensable for a number of applications, particularly for confinement of single electrons as qubits in quantum-information processing. The present work extends previous studies [D. Goldmann and G. Gabrielse, Phys. Rev. A 81, 052335 (2010)] by a fully analytic treatment of finite electrode gaps and their relevance for small traps on the millimetre size scale and below, when relative gap sizes are non-negligible. We derive the overall trap potential with a particular focus on different models of finite-gap potentials and show how to find the optimum trap geometry and electrode voltages to minimize anharmonicities. The analytic calculations are compared with detailed finite-element simulations.

Abstract:We present a detailed account of the design choices required for planar Penning traps that feature a highly harmonic confining potential. High harmonicity is indispensable for a number of applications, particularly for confinement of single electrons as qubits in quantum-information processing. The present work extends previous studies [D. Goldmann and G. Gabrielse, Phys. Rev. A 81, 052335 (2010)] by a fully analytic treatment of finite electrode gaps and their relevance for small traps on the millimetre size scale and below, when relative gap sizes are non-negligible. We derive the overall trap potential with a particular focus on different models of finite-gap potentials and show how to find the optimum trap geometry and electrode voltages to minimize anharmonicities. The analytic calculations are compared with detailed finite-element simulations.

Quantum Physics (quant-ph); Atomic Physics (physics.atom-ph)

arXiv:2608.17984 [quant-ph]

(or arXiv:2608.17984v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.17984 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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