Publication
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
Projects
- Q3-UP - Bedarfsorientierte und niederschwellige Qualifikationsbausteine für Quantencomputing und quantenmaschinelles Lernen
- QuBer-KI - Quantum Deep Reinforcement Learning for simple robotic behaviours