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This work advances the theoretical foundations of reservoir computing (RC) by providing a unified treatment of fading memory and the echo state property (ESP) in both deterministic and stochastic settings. We investigate state-space…

Machine Learning · Statistics 2026-05-15 Juan-Pablo Ortega , Florian Rossmannek

Much effort has been devoted in the last two decades to characterize the situations in which a reservoir computing system exhibits the so-called echo state (ESP) and fading memory (FMP) properties. These important features amount, in…

Neural and Evolutionary Computing · Computer Science 2019-03-25 Lyudmila Grigoryeva , Juan-Pablo Ortega

Quantum reservoir computing is a machine learning framework that offers ease of training compared to other quantum neural networks, as it does not rely on gradient-based optimization. Learning is performed in a single step on the output…

Quantum Physics · Physics 2026-02-04 Baptiste Carles , Julien Dudas , Léo Balembois , Julie Grollier , Danijela Marković

The nascent computational paradigm of quantum reservoir computing presents an attractive use of near-term, noisy-intermediate-scale quantum processors. To understand the potential power and use cases of quantum reservoir computing, it is…

Quantum Physics · Physics 2021-07-02 L. C. G. Govia , G. J. Ribeill , G. E. Rowlands , T. A. Ohki

Quantum reservoir computing (QRC) offers a promising framework for online quantum-enhanced machine learning tailored to temporal tasks, yet practical implementations with native memory capabilities remain limited. Here, we demonstrate an…

We show that recurrent quantum reservoir computers (QRCs) and their recurrence-free architectures (RF-QRCs) are robust tools for learning and forecasting chaotic dynamics from time-series data. First, we formulate and interpret quantum…

Quantum Physics · Physics 2025-06-30 Osama Ahmed , Felix Tennie , Luca Magri

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

Quantum reservoir computing is an emergent field in which quantum dynamical systems are exploited for temporal information processing. In previous work, it was found a feature that makes a quantum reservoir valuable: contractive dynamics of…

Quantum Physics · Physics 2025-06-18 Rodrigo Martínez-Peña , Juan-Pablo Ortega

Quantum reservoir computing offers a promising approach to the utilization of complex quantum dynamics in machine learning. Statistical noise inevitably arises in real settings of quantum reservoir computing (QRC) due to the practical…

Quantum Physics · Physics 2026-04-23 Youssef Kora , Christoph Simon

Quantum reservoir computing (QRC) leverages the high-dimensional, nonlinear dynamics inherent in quantum many-body systems for extracting spatiotemporal patterns in sequential and time-series data with minimal training overhead. Although…

Quantum Physics · Physics 2025-10-22 Shehbaz Tariq , Muhammad Talha , Symeon Chatzinotas , Hyundong Shin

A quantum memory for light is a key element for the realization of future quantum information networks. Requirements for a good quantum memory are (i) versatility (allowing a wide range of inputs) and (ii) true quantum coherence (preserving…

Reservoir computing (RC) is a machine learning paradigm that harnesses dynamical systems as computational resources. In its quantum extension -- quantum reservoir computing (QRC) -- these principles are applied to quantum systems, whose…

Quantum Physics · Physics 2026-02-02 Kaito Kobayashi , Yukitoshi Motome

Quantum Reservoir Computing (QRC) uses quantum dynamics to efficiently process temporal data. In this work, we investigate a QRC framework based on two coupled Kerr nonlinear oscillators, a system well-suited for time-series prediction…

Quantum Physics · Physics 2026-04-07 Ali Karimi , Hadi Zadeh-Haghighi , Youssef Kora , Christoph Simon

Spin echo techniques are essential for achieving long coherence times in solid-state quantum memories for light because of inhomogeneous broadening of the spin transitions. It has been suggested that unrealistic levels of precision for the…

Quantum Physics · Physics 2015-05-20 Khabat Heshami , Nicolas Sangouard , Jiri Minar , Hugues de Riedmatten , Christoph Simon

Quantum reservoir computing (QRC) is a low-complexity learning paradigm that combines the inherent dynamics of input-driven many-body quantum systems with classical learning techniques for nonlinear temporal data processing. Optimizing the…

Quantum Physics · Physics 2025-07-30 Moein N. Ivaki , Achilleas Lazarides , Tapio Ala-Nissila

Quantum computing and neural networks show great promise for the future of information processing. In this paper we study a quantum reservoir computer (QRC), a framework harnessing quantum dynamics and designed for fast and efficient…

Disordered Systems and Neural Networks · Physics 2020-06-29 Aki Kutvonen , Takahiro Sagawa , Keisuke Fujii

Reservoir computing is a machine learning framework that uses artificial or physical dissipative dynamics to predict time-series data using nonlinearity and memory properties of dynamical systems. Quantum systems are considered as promising…

We analyze the properties of a quantum system composed of two coherently coupled quantum oscillators and show through simulations that it fulfills the two properties required for reservoir computing: non-linearity and fading memory. We…

Quantum Physics · Physics 2022-05-02 Julien Dudas , Julie Grollier , Danijela Marković

Quantum reservoir computing (QRC) is a promising quantum machine learning framework for near-term quantum platforms, yet the performance of different QRC architectures under realistic constraints remains largely unexplored. Here, we provide…

Quantum Physics · Physics 2026-04-03 Dong-Sheng Liu , Qing-Xuan Jie , Chang-Ling Zou , Xi-Feng Ren , Guang-Can Guo

Reservoir computing is a promising neuromorphic paradigm, and its quantum implementation using spin networks has shown some advantage when entanglement is present. Here, we consider a distributed scenario in which two distinct input time…

Quantum Physics · Physics 2025-11-10 Sareh Askari , Youssef Kora , Christoph Simon