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Quantum simulation, the simulation of quantum processes on quantum computers, suggests a path forward for the efficient simulation of problems in condensed-matter physics, quantum chemistry, and materials science. While the majority of…

Quantum Physics · Physics 2022-10-03 Paul K. Faehrmann , Mark Steudtner , Richard Kueng , Maria Kieferova , Jens Eisert

A robust Learning Model Predictive Controller (LMPC) for uncertain systems performing iterative tasks is presented. At each iteration of the control task the closed-loop state, input and cost are stored and used in the controller design.…

Systems and Control · Electrical Eng. & Systems 2021-07-06 Ugo Rosolia , Xiaojing Zhang , Francesco Borrelli

Despite decades of research and recent progress in adaptive control and reinforcement learning, there remains a fundamental lack of understanding in designing controllers that provide robustness to inherent non-asymptotic uncertainties…

Machine Learning · Computer Science 2021-08-13 Benjamin Gravell , Tyler Summers

This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning-based lifting approach is proposed to approximate nonlinear dynamical systems with linear…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Sourav Sinha , Mazen Farhood

Quantum control requires high-precision and robust control pulses to ensure optimal system performance. However, control sequences generated with a system model may suffer from model bias, leading to low fidelity. While model-free…

For discrete-time linear systems subject to parametric uncertainty described by random variables, we develop a sampling-based Stochastic Model Predictive Control algorithm. Unlike earlier results employing a scenario approximation, we…

Systems and Control · Computer Science 2016-06-21 Matthias Lorenzen , Fabrizio Dabbene , Roberto Tempo , Frank Allgöwer

We propose a model-based reinforcement learning (RL) approach for noisy time-dependent gate optimization with improved sample complexity over model-free RL. Sample complexity is the number of controller interactions with the physical…

Sampling-based methods have become a cornerstone of contemporary approaches to Model Predictive Control (MPC), as they make no restrictions on the differentiability of the dynamics or cost function and are straightforward to parallelize.…

Robotics · Computer Science 2022-12-07 Jacob Sacks , Byron Boots

We propose Kernel Predictive Control (KPC), a learning-based predictive control strategy that enjoys deterministic guarantees of safety. Noise-corrupted samples of the unknown system dynamics are used to learn several models through the…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Emilio T. Maddalena , Paul Scharnhorst , Yuning Jiang , Colin N. Jones

Random samples of quantum states with specific properties are useful for various applications, such as Monte Carlo integration over the state space. In the high-dimensional situations that one encounters already for a few qubits, the…

Quantum Physics · Physics 2026-02-02 Weijun Li , Rui Han , Jiangwei Shang , Hui Khoon Ng , Berthold-Georg Englert

A generalized strategy for the design of intelligent robust control systems based on quantum / soft computing technologies is described. The reliability of hybrid intelligent controllers increase by providing the ability to self-organize of…

Quantum Physics · Physics 2023-05-22 Sergey V. Ulyanov , Viktor S. Ulyanov , Takakhide Hagiwara

Iterative learning control (ILC) improves the performance of a repetitive system by learning from previous trials. ILC can be combined with Model Predictive Control (MPC) to mitigate non-repetitive disturbances, thus improving overall…

Systems and Control · Electrical Eng. & Systems 2025-03-26 Riccardo Zuliani , Efe C. Balta , Alisa Rupenyan , John Lygeros

Deep reinforcement learning has been recognized as an efficient technique to design optimal strategies for different complex systems without prior knowledge of the control landscape. To achieve a fast and precise control for quantum…

Quantum Physics · Physics 2021-01-05 Hailan Ma , Daoyi Dong , Steven X. Ding , Chunlin Chen

We introduce a general statistical learning theory for processes that take as input a classical random variable and output a quantum state. Our setting is motivated by the practical situation in which one desires to learn a quantum process…

Quantum Physics · Physics 2025-02-27 Marco Fanizza , Yihui Quek , Matteo Rosati

Learning-based control has attracted significant attention in recent years, especially for plants that are difficult to model based on first-principles. A key issue in learning-based control is how to make efficient use of data as the…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Kaikai Zheng , Dawei Shi , Sandra Hirche , Yang Shi

Implementing fast and high-fidelity quantum operations using open-loop quantum optimal control relies on having an accurate model of the quantum dynamics. Any deviations between this model and the complete dynamics of the device, such as…

Quantum Physics · Physics 2024-10-31 Elie Genois , Noah J. Stevenson , Noah Goss , Irfan Siddiqi , Alexandre Blais

High-precision quantum control is essential for quantum computing and quantum information processing. However, its practical implementation is challenged by environmental noise, which affects the stability and accuracy of quantum systems.…

Quantum Physics · Physics 2025-08-29 Zhao-Wei Wang , Hong-Yang Ma , Yun-An Yan , Lian-Ao Wu , Zhao-Ming Wang

Thompson sampling (TS) is a Bayesian randomized exploration strategy that samples options (e.g., system parameters or control laws) from the current posterior and then applies the selected option that is optimal for a task, thereby…

Machine Learning · Computer Science 2026-02-06 Kaikai Zheng , Dawei Shi , Yang Shi , Long Wang

Robust control design for quantum systems has been recognized as a key task in quantum information technology, molecular chemistry and atomic physics. In this paper, an improved differential evolution algorithm, referred to as…

Quantum Physics · Physics 2020-07-14 Daoyi Dong , Xi Xing , Hailan Ma , Chunlin Chen , Zhixin Liu , Herschel Rabitz

The balance between exploration and exploitation is a key problem for reinforcement learning methods, especially for Q-learning. In this paper, a fidelity-based probabilistic Q-learning (FPQL) approach is presented to naturally solve this…

Machine Learning · Computer Science 2018-06-11 Chunlin Chen , Daoyi Dong , Han-Xiong Li , Jian Chu , Tzyh-Jong Tarn