Iterative Linear Quadratic Regulator for Quantum Optimal Control

Fuente: arXiv
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Main Authors: Heimann, Dirk, Wiebe, Felix, Abad, Tahereh, Mounzer, Elie, Huang, Tangyou, Kirchner, Frank, Kumar, Shivesh
Format: Preprint
Published: 2025
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author Heimann, Dirk
Wiebe, Felix
Abad, Tahereh
Mounzer, Elie
Huang, Tangyou
Kirchner, Frank
Kumar, Shivesh
author_facet Heimann, Dirk
Wiebe, Felix
Abad, Tahereh
Mounzer, Elie
Huang, Tangyou
Kirchner, Frank
Kumar, Shivesh
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_10938
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Iterative Linear Quadratic Regulator for Quantum Optimal Control
Heimann, Dirk
Wiebe, Felix
Abad, Tahereh
Mounzer, Elie
Huang, Tangyou
Kirchner, Frank
Kumar, Shivesh
Quantum Physics
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.
title Iterative Linear Quadratic Regulator for Quantum Optimal Control
topic Quantum Physics
url https://arxiv.org/abs/2504.10938