Multi-level spectral navigation with geometric diabatic-adiabatic control

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.

Source: arXiv:2602.14756v1 - http://arxiv.org/abs/2602.14756v1 PDF: https://arxiv.org/pdf/2602.14756v1 Original Link: http://arxiv.org/abs/2602.14756v1