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The core problem in optimal control theory applied to quantum systems is to determine the temporal shape of an applied field in order to maximize the expectation of value of some physical observable. The functional which maps the control…

Quantum Physics · Physics 2019-01-10 Martín Larocca , Pablo Poggi , Diego Wisniacki

The successful application of Quantum Optimal Control (QOC) over the past decades unlocked the possibility of directing the dynamics of quantum systems. Nevertheless, solutions obtained from QOC algorithms are usually highly irregular,…

Quantum Physics · Physics 2020-02-26 Martin Larocca , Esteban A. Calzetta , Diego A. Wisniacki

Data compression can be achieved by reducing the dimensionality of high-dimensional but approximately low-rank datasets, which may in fact be described by the variation of a much smaller number of parameters. It often serves as a…

Quantum Physics · Physics 2021-08-03 Chao-Hua Yu , Fei Gao , Song Lin , Jingbo Wang

Quantum machine learning (QML) has been identified as one of the key fields that could reap advantages from near-term quantum devices, next to optimization and quantum chemistry. Research in this area has focused primarily on variational…

Quantum Physics · Physics 2022-06-01 Andrea Skolik , Sofiene Jerbi , Vedran Dunjko

Quantum optimal control experiments and simulations have successfully manipulated the dynamics of systems ranging from atoms to biomolecules. Surprisingly, these collective works indicate that the effort (i.e., the number of algorithmic…

Quantum Physics · Physics 2013-05-29 Katharine W. Moore , Herschel Rabitz

Dimensionality reduction (DR) of data is a crucial issue for many machine learning tasks, such as pattern recognition and data classification. In this paper, we present a quantum algorithm and a quantum circuit to efficiently perform linear…

Quantum Physics · Physics 2023-04-03 Kai Yu , Gong-De Guo , Song Lin

Quantum control is valuable for various quantum technologies such as high-fidelity gates for universal quantum computing, adaptive quantum-enhanced metrology, and ultra-cold atom manipulation. Although supervised machine learning and…

Machine Learning · Computer Science 2017-09-06 Pantita Palittapongarnpim , Peter Wittek , Ehsan Zahedinejad , Shakib Vedaie , Barry C. Sanders

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 principal component analysis (QPCA) ignited a new development toward quantum machine learning algorithms. Initially showcasing as an active way for analyzing a quantum system using the quantum state itself, QPCA also found potential…

Quantum Physics · Physics 2025-01-15 Nhat A. Nghiem

Quantum optimization is the most mature quantum computing technology to date, providing a promising approach towards efficiently solving complex combinatorial problems. Methods such as adiabatic quantum computing (AQC) have been employed in…

The optimization of robust quantum control is often tailored to specific tasks and suffers from inefficiencies due to the complexity of cost functions. Our recent findings indicate a highly effective methodology for the engineering of…

Quantum Physics · Physics 2025-01-10 Huiqi Xue , Xiu-Hao Deng

Quantum Machine Learning (QML) shows how it maintains certain significant advantages over machine learning methods. It now shows that hybrid quantum methods have great scope for deployment and optimisation, and hold promise for future…

Machine Learning · Computer Science 2023-01-03 Juan Kenyhy Hancco-Quispe , Jordan Piero Borda-Colque , Fred Torres-Cruz

In several application domains, high-dimensional observations are collected and then analysed in search for naturally occurring data clusters which might provide further insights about the nature of the problem. In this paper we describe a…

Machine Learning · Statistics 2012-03-07 Brian McWilliams , Giovanni Montana

A common goal of quantum control is to maximize a physical observable through the application of a tailored field. The observable value as a function of the field constitutes a quantum control landscape. Previous works have shown, under…

Quantum Physics · Physics 2014-03-20 Arun Nanduri , Ashley Donovan , Tak-San Ho , Herschel Rabitz

In this thesis, we consider two simple but typical control problems and apply deep reinforcement learning to them, i.e., to cool and control a particle which is subject to continuous position measurement in a one-dimensional quadratic…

Quantum Physics · Physics 2022-12-15 Zhikang Wang

The application of machine learning techniques to solve problems in quantum control together with established geometric methods for solving optimisation problems leads naturally to an exploration of how machine learning approaches can be…

Quantum Physics · Physics 2020-12-02 Elija Perrier , Christopher Ferrie , Dacheng Tao

We propose a new hybrid system for automatically generating and training quantum-inspired classifiers on grayscale images by using multiobjective genetic algorithms. We define a dynamic fitness function to obtain the smallest possible…

Quantum Physics · Physics 2023-12-21 Sergio Altares-López , Juan José García-Ripoll , Angela Ribeiro

In this paper, we propose a low complexity quantum principal component analysis (qPCA) algorithm. Similar to the state-of-the-art qPCA, it achieves dimension reduction by extracting principal components of the data matrix, rather than all…

Quantum Physics · Physics 2021-01-14 Chen He , Jiazhen Li , Weiqi Liu , Z. Jane Wang

We propose and analyse a class of analytically solvable models of quantum reinforcement learning (QRL), formulated as finite-horizon Markov decision processes in finite-dimensional Hilbert spaces. The models are built around a…

General Mathematics · Mathematics 2026-04-16 Andrea Cintio , Alessandro Michelangeli , Dmitrii Tsutskov

Quantum reinforcement learning (QRL) is a promising paradigm for near-term quantum devices. While existing QRL methods have shown success in discrete action spaces, extending these techniques to continuous domains is challenging due to the…

Quantum Physics · Physics 2025-03-19 Shaojun Wu , Shan Jin , Dingding Wen , Donghong Han , Xiaoting Wang
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