Iterative Linear Quadratic Regulator for Quantum Optimal Control
Paper in proceeding, 2025
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.
gate synthesis for superconducting qubits
quantum optimal control
iterative linear quadratic regulator
Author
Dirk Heimann
Universität Bremen
Felix Wiebe
Deutsches Forschungszentrum fur Kunstliche Intelligenz
Tahereh Abad
Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics
Elie Mounzer
Deutsches Forschungszentrum fur Kunstliche Intelligenz
Tangyou Huang
Chalmers, Microtechnology and Nanoscience (MC2), Quantum Technology
Frank Kirchner
Deutsches Forschungszentrum fur Kunstliche Intelligenz
Universität Bremen
Shivesh Kumar
Chalmers, Mechanics and Maritime Sciences (M2), Dynamics
Proceedings IEEE Quantum Week 2025 Qce 2025
Vol. 1 1372-1378
9798331557362 (ISBN)
6th IEEE International Conference on Quantum Computing and Engineering, QCE 2025
Albuquerque, USA,
Albuquerque, USA,
Subject Categories (SSIF 2025)
Computational Mathematics
Control Engineering
DOI
10.1109/QCE65121.2025.00152