Multi-level spectral navigation with geometric diabatic-adiabatic control

• URL: http://arxiv.org/abs/2602.14756v1
• Date: Mon, 16 Feb 2026 14:01:15 GMT
• Title: Multi-level spectral navigation with geometric diabatic-adiabatic control
• Authors: Christian Ventura-Meinersen, Edmondo Valvo, Stefano Bosco, Maximilian Rimbach-Russ,
• Abstract summary: We introduce a framework for efficient few- parameter pulse optimization in multi-level quantum systems.<n>Our method interpolates smoothly between adiabatic and diabatic dynamics to minimize unwanted excitations.<n>We showcase the flexibility of our diabatic-adiabatic protocols through two examples in spin-based quantum information processing.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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