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Related papers: Quantum Lyapunov control with machine learning

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Quantum information processing often requires the preparation of arbitrary quantum states, such as all the states on the Bloch sphere for two-level systems. While numerical optimization can prepare individual target states, they lack the…

Quantum Physics · Physics 2021-02-04 Tobias Haug , Wai-Keong Mok , Jia-Bin You , Wenzu Zhang , Ching Eng Png , Leong-Chuan Kwek

Artificial intelligence algorithms largely build on multi-layered neural networks. Coping with their increasing complexity and memory requirements calls for a paradigmatic change in the way these powerful algorithms are run. Quantum…

Optimized control of quantum networks is essential for enabling distributed quantum applications with strict performance requirements. In near-term architectures with constrained hardware, effective control may determine the feasibility of…

This paper deals with the tracking control problem for a very simple class of unknown nonlinear systems. In this paper, we presents a design strategy for tracking control of time-varying state constrained nonlinear systems in an adaptive…

Systems and Control · Electrical Eng. & Systems 2022-10-12 Pankaj Kumar Mishra , Nishchal K Verma

We present detailed analysis of the convergence properties and effectiveness of Lyapunov control design for bilinear Hamiltonian quantum systems based on the application of LaSalle's invariance principle and stability analysis from…

Quantum Physics · Physics 2009-10-01 Xiaoting Wang , Sonia Schirmer

In this work, we investigate an indirect approach for the numerical solution of optimal control problems via neural networks. A customized neural network is constructed, where optimal state, co-state and control trajectories are…

Optimization and Control · Mathematics 2025-02-13 Mominul Rubel , Gabriel Nicolosi

A quantum system whose internal Hamiltonian is not strongly regular or/and control Hamiltonians are not full connected, are thought to be in the degenerate cases. In this paper, convergence problems of the multi-control Hamiltonians closed…

Systems and Control · Computer Science 2014-08-20 Shuang Cong , Fangfang Meng , Jianxiu Liu

We have constructed an automated learning apparatus to control quantum systems. By directing intense shaped ultrafast laser pulses into a variety of samples and using a measurement of the system as a feedback signal, we are able to reshape…

Quantum Physics · Physics 2009-11-06 B. J. Pearson , J. L. White , T. C. Weinacht , P. H. Bucksbaum

We propose a scheme leveraging reinforcement learning to engineer control fields for generating non-classical states. It is exemplified by the application to prepare spin-squeezed states for an open collective spin model where a linear…

Quantum Physics · Physics 2024-06-17 X. L. Zhao , Y. M. Zhao , M. Li , T. T. Li , Q. Liu , S. Guo , X. X. Yi

Training neural networks to satisfy universal constraints over continuous domains poses unique challenges. Common examples include Lyapunov Neural Networks (Lyapunov NNs) and Physics-Informed Neural Networks (PINNs), where analytical…

Machine Learning · Computer Science 2026-05-12 Siteng Kang , Xinhua Zhang

Emerging reinforcement learning techniques using deep neural networks have shown great promise in control optimization. They harness non-local regularities of noisy control trajectories and facilitate transfer learning between tasks. To…

Quantum Physics · Physics 2018-04-17 Murphy Yuezhen Niu , Sergio Boixo , Vadim Smelyanskiy , Hartmut Neven

Quantum computing requires the optimization of control pulses to achieve high-fidelity quantum gates. We propose a machine learning-based protocol to address the challenges of evaluating gradients and modeling complex system dynamics. By…

Quantum Physics · Physics 2026-01-27 Paul Surrey , Julian D. Teske , Tobias Hangleiter , Hendrik Bluhm , Pascal Cerfontaine

Machine learning (ML) has found broad applicability in quantum information science in topics as diverse as experimental design, state classification, and even studies on quantum foundations. Here, we experimentally realize an approach for…

While ensuring stability for linear systems is well understood, it remains a major challenge for nonlinear systems. A general approach in such cases is to compute a combination of a Lyapunov function and an associated control policy.…

Machine Learning · Computer Science 2023-12-27 Junlin Wu , Andrew Clark , Yiannis Kantaros , Yevgeniy Vorobeychik

We augment existing generator-side primary frequency control with load-side control that are local, ubiquitous, and continuous. The mechanisms on both the generator and the load sides are decentralized in that their control decisions are…

Systems and Control · Computer Science 2014-03-25 Changhong Zhao , Steven Low

Taking a two-level system as an example, we show that a strong control field may enhance the efficiency of optimal Lyapunov quantum control in [Hou et al., Phys. Rev. A \textbf{86}, 022321 (2012)] but could decrease its control fidelity. A…

Quantum Physics · Physics 2013-06-05 L. C. Wang , S. C. Hou , X. X. Yi , Daoyi Dong , Ian R. Petersen

Artificial neural networks are at the heart of modern deep learning algorithms. We describe how to embed and train a general neural network in a quantum annealer without introducing any classical element in training. To implement the…

Quantum Physics · Physics 2022-08-17 Steve Abel , Juan C. Criado , Michael Spannowsky

Maximally entangled states (MES) are highly valued in quantum information processing. In quantum control, the creation of MES is typically treated as a state transfer problem with a predefined MES as the target. However, this approach is…

Quantum Physics · Physics 2024-06-18 Yun-Yan Lee , Daoyi Dong , Ciann-Dong Yang

Quantum machine learning has the potential for broad industrial applications, and the development of quantum algorithms for improving the performance of neural networks is of particular interest given the central role they play in machine…

Quantum Physics · Physics 2019-09-09 Jonathan Allcock , Chang-Yu Hsieh , Iordanis Kerenidis , Shengyu Zhang

Reinforcement learning-based controller design methods often require substantial data in the initial training phase. Moreover, the training process tends to exhibit strong randomness and slow convergence. It often requires considerable time…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Chenxu Ke , Congling Tian , Kaichen Xu , Ye Li , Lingcong Bao
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