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The Quantum-Monte-Carlo technique known as the Stochastic Series Expansion (SSE) relies on a crucial no-branching condition: the SSE sampling is carried out in the computational basis, and the no-branching assumption ensures that…

Quantum Physics · Physics 2025-07-04 Bhilahari Jeevanesan

Recent developments in quantum computing and machine learning have propelled the interdisciplinary study of quantum machine learning. Sequential modeling is an important task with high scientific and commercial value. Existing VQC or…

Neural and Evolutionary Computing · Computer Science 2022-11-07 Samuel Yen-Chi Chen , Daniel Fry , Amol Deshmukh , Vladimir Rastunkov , Charlee Stefanski

HPC systems are a critical resource for scientific research. The increased demand for computational power and memory ushers in the exascale era, in which supercomputers are designed to provide enormous computing power to meet these needs.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-11 Yehonatan Fridman , Yaniv Snir , Harel Levin , Danny Hendler , Hagit Attiya , Gal Oren

Reservoir computation is a recurrent framework for learning and predicting time series data, that benefits from extremely simple training and interpretability, often as the the dynamics of a physical system. In this paper, we will study the…

Machine Learning · Computer Science 2025-07-22 Anthony M. Polloreno

We investigate the fundamental expressivity limits of quantum reservoir computing (QRC) by establishing a formal connection to parametrized quantum circuit quantum machine learning (PQC-QML). We analytically prove, and numerically…

A physical neural network (PNN) has both the strong potential to solve machine learning tasks and intrinsic physical properties, such as high-speed computation and energy efficiency. Reservoir computing (RC) is an excellent framework for…

Chaotic Dynamics · Physics 2024-12-18 Tomoyuki Kubota , Yusuke Imai , Sumito Tsunegi , Kohei Nakajima

Quantum reservoir computing exploits fixed quantum dynamics and a trainable linear readout to process temporal data, yet reversing the transformation -- reconstructing the input from the reservoir output -- has been considered intractable…

Quantum Physics · Physics 2026-03-18 Hikaru Wakaura , Taiki Tanimae

Quantum reservoir computing (QRC) has emerged as a promising paradigm for harnessing near-term quantum devices to tackle temporal machine learning tasks. Yet identifying the mechanisms that underlie enhanced performance remains challenging,…

Quantum Physics · Physics 2025-01-14 Krai Cheamsawat , Thiparat Chotibut

Equilibrium propagation (EP) is a training framework for energy-based systems, i.e. systems whose physics minimizes an energy function. EP has been explored in various classical physical systems such as resistor networks, elastic networks,…

Quantum Physics · Physics 2024-06-04 Benjamin Scellier

Echo-state networks are simple models of discrete dynamical systems driven by a time series. By selecting network parameters such that the dynamics of the network is contractive, characterized by a negative maximal Lyapunov exponent, the…

Machine Learning · Computer Science 2022-12-06 L. Storm , K. Gustavsson , B. Mehlig

Exceptional points (EPs) in non-Hermitian systems give rise to enhanced sensitivity and chiral state transfer, which are important for quantum technologies. Although parameter trajectories encircling EPs can control symmetric and chiral…

Quantum Physics · Physics 2026-03-26 Qi-Cheng Wu , Yan-Hui Zhou , Biao-liang Ye , Tong Liu , Yi-Hao Kang , Qi-Ping Su , Chui-Ping Yang

Reservoir computing is a recently introduced, highly efficient bio-inspired approach for processing time dependent data. The basic scheme of reservoir computing consists of a non linear recurrent dynamical system coupled to a single input…

Emerging Technologies · Computer Science 2012-07-06 Yvan Paquot , François Duport , Anteo Smerieri , Joni Dambre , Benjamin Schrauwen , Marc Haelterman , Serge Massar

Machine learning has been increasingly utilized in the field of biomedical research to accelerate the drug discovery process. In recent years, the emergence of quantum computing has been followed by extensive exploration of quantum machine…

In this paper we present a computational model which decodes the spatio-temporal data from electro-physiological measurements of neuronal networks and reconstructs the network structure on a macroscopic domain, representing the connectivity…

Quantitative Methods · Quantitative Biology 2025-02-14 Ilya Auslender , Lorenzo Pavesi

Traditional quantum system control methods often face different constraints, and are easy to cause both leakage and stochastic control errors under the condition of limited resources. Reinforcement learning has been proved as an efficient…

Emerging Technologies · Computer Science 2024-05-14 Wenjie Liu , Bosi Wang , Jihao Fan , Yebo Ge , Mohammed Zidan

Quantum reservoir computing (QRC) exploits the information-processing capabilities of quantum systems to tackle time-series forecasting tasks, which is expected to be superior to their classical counterparts. By far, many QRC schemes have…

Quantum Physics · Physics 2025-02-25 Longhan Wang , Peijie Sun , Ling-Jun Kong , Yifan Sun , Xiangdong Zhang

Reservoir computing (RC) is a state-of-the-art machine learning method that makes use of the power of dynamical systems (the reservoir) for real-time inference. When using biological complex systems as reservoir substrates, it serves as a…

Adaptation and Self-Organizing Systems · Physics 2026-03-03 Mario U. Gaimann , Miriam Klopotek

Quantum Reservoir Computing (QRC) harnesses quantum systems to tackle intricate computational problems with exceptional efficiency and minimized energy usage. This paper presents a QRC framework that utilizes a minimalistic quantum…

Quantum Physics · Physics 2025-11-11 Chuanzhou Zhu , Peter J. Ehlers , Hendra I. Nurdin , Daniel Soh

An Echo State Network (ESN) is a type of single-layer recurrent neural network with randomly-chosen internal weights and a trainable output layer. We prove under mild conditions that a sufficiently large Echo State Network can approximate…

Dynamical Systems · Mathematics 2021-06-28 Allen G. Hart , Kevin R. Olding , A. M. G. Cox , Olga Isupova , J. H. P. Dawes

Reservoir Computing is a type of recursive neural network commonly used for recognizing and predicting spatio-temporal events relying on a complex hierarchy of nested feedback loops to generate a memory functionality. The Reservoir…

Mesoscale and Nanoscale Physics · Physics 2018-02-05 George Bourianoff , Daniele Pinna , Matthias Sitte , Karin Everschor-Sitte
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