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Iterative Linear Quadratic Regulator for Quantum Optimal Control

Dirk Heimann; Felix Wiebe; Tahereh Abad; Elie Mounzer; Tangyou Huang; Frank Kirchner; Shivesh Kumar
In: Proceedings of the Sixth IEEE International Conference on Quantum Computing and Engineering. IEEE International Conference on Quantum Computing and Engineering (QCE-2025), August 31 - September 5, Albuquerque, New Mexico, USA, IEEE Xplore, 9/2025.

Abstract

Quantum optimal control for gate optimization aims to provide accurate, robust, and fast pulse sequences to achieve gate fidelities on quantum systems below the error correction threshold. Many methods have been developed and successfully applied in simulation and on quantum hardware. In this paper, we establish a connection between the iterative linear quadratic regulator and quantum optimal control by adapting it to gate optimization of quantum systems. We include constraints on the controls and their derivatives to enable smoother pulses. We achieve high-fidelity simulation results for X and cross-resonance gates on one- and two-qubit fixed-frequency transmons simulated with two and three levels. Index Terms—quantum optimal control, iterative linear quadratic regulator, gate synthesis for superconducting qubits

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