Bonn 2025 – wissenschaftliches Programm
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QI: Fachverband Quanteninformation
QI 10: Quantum Machine Learning II
QI 10.2: Vortrag
Dienstag, 11. März 2025, 11:15–11:30, HS VIII
Pulse Engineering via Projection of Response Functions — •Nicolas Heimann1,2,3, Lukas Broers1,2, and Ludwig Mathey1,2,3 — 1Zentrum für Optische Quantentechnologien, Universität Hamburg, 22761 Hamburg, Germany — 2Institut für Quantenphysik, Universität Hamburg, 22761 Hamburg, Germany — 3The Hamburg Centre for Ultrafast Imaging, 22761 Hamburg, Germany
We present an iterative optimal control method of quantum systems, aimed at an implementation of a desired operation with optimal fidelity. The update step of the method is based on the linear response of the fidelity to the control operators, and its projection onto the mode functions of the corresponding operator. Our method extends methods such as gradient ascent pulse engineering and variational quantum algorithms, by determining the fidelity gradient in a hyperparameter-free manner, and using it for a multi-parameter update, capitalizing on the multi-mode overlap of the perturbation and the mode functions. This directly reduces the number of dynamical trajectories that need to be evaluated in order to update a set of parameters. We demonstrate this approach, and compare it to the standard GRAPE algorithm, for the example of a quantum gate on two qubits, demonstrating a clear improvement in convergence and optimal fidelity of the generated protocol.
Keywords: Quantum Optimal Control; Linear Response Theory