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arXiv · 2602.14756

Multi-level spectral navigation with geometric diabatic-adiabatic control

Christian Ventura-Meinersen·Edmondo Valvo·Stefano Bosco·Maximilian Rimbach-Russ
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Abstract

We introduce a geometric framework for efficient few-parameter pulse optimization in multi-level quantum systems, enabling high-fidelity state transfer beyond the adiabatic limit. Our method interpolates smoothly between adiabatic and diabatic dynamics to minimize unwanted excitations and maximize desired transitions even within a multi-level structure. Crucially, for single-parameter pulse control, the optimization reduces to solving a first-order ordinary differential equation. We showcase the flexibility of our diabatic-adiabatic protocols through two examples in spin-based quantum information processing: state initialization and qubit state transfer.

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Christian Ventura-Meinersen, Edmondo Valvo, Stefano Bosco, Maximilian Rimbach-Russ. 2026-02-16. Multi-level spectral navigation with geometric diabatic-adiabatic control. https://doi.org/10.1103/hfv7-3pxt

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