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Quantum Optimization

Multi-level spectral navigation with geometric diabatic-adiabatic control

arXiv
Authors: Christian Ventura-Meinersen, Edmondo Valvo, Stefano Bosco, Maximilian Rimbach-Russ

Year

2026

Paper ID

782

Status

Preprint

Abstract Read

~2 min

Abstract Words

81

Citations

N/A

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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  • This paper contributes to the Quantum Optimization research area in the Quantum Articles archive.
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  • 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.

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