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Related papers: Quantum reservoir computing in finite dimensions

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Reservoir computing is a novel machine learning algorithm that uses a nonlinear dynamical system to efficiently learn complex temporal patterns from data. The objective of this thesis is to investigate the principles of reservoir computing…

Quantum Physics · Physics 2023-10-12 Laia Domingo

Estimating properties of a quantum state is an indispensable task in various applications of quantum information processing. To predict properties in the post-processing stage, it is inherent to first perceive the quantum state with a…

Quantum Physics · Physics 2024-02-29 Yinfei Li , Sanjib Ghosh , Jiangwei Shang , Qihua Xiong , Xiangdong Zhang

A *-algebraic indefinite structure of quantum stochastic (QS) calculus is introduced and a continuity property of generalized nonadapted QS integrals is proved under the natural integrability conditions in an infinitely dimensional nuclear…

Probability · Mathematics 2007-05-23 V. P. Belavkin

Reservoir computing typically relies on large, randomly generated reservoirs, enabling simple, often linear readouts. Over the past two decades, most constructions have exploited the freedom to select the reservoir, constrained primarily by…

Dynamical Systems · Mathematics 2026-05-26 G Manjunath , Juan-Pablo Ortega , Alma van der Merwe

Physical reservoir computing is a computational framework that implements spatiotemporal information processing directly within physical systems. By exciting nonlinear dynamical systems and creating linear models from their state, we can…

Machine Learning · Computer Science 2025-07-08 Jake Love , Jeroen Mulkers , Robin Msiska , George Bourianoff , Jonathan Leliaert , Karin Everschor-Sitte

Quantum reservoir computing algorithms recently emerged as a standout approach in the development of successful methods for the NISQ era, because of its superb performance and compatibility with current quantum devices. By harnessing the…

Reservoir computing is a powerful machine learning paradigm for online time series processing. It has reached state-of-the-art performance in tasks such as chaotic time series prediction and continuous speech recognition thanks to its…

Quantum Physics · Physics 2021-08-03 Johannes Nokkala

Quantum phase transitions are highly remarkable phenomena manifesting in quantum many-body systems. However, their precise identifications in equilibrium systems pose significant theoretical and experimental challenges. Thus far, dynamical…

Quantum Physics · Physics 2025-05-16 Kaito Kobayashi , Yukitoshi Motome

Reservoir computing (RC) is one of the hottest research topic as an application of many physical devices because the device characteristics can be used directly in computing sequences. Quantum RC is also a promising candidate for…

Quantum Physics · Physics 2025-04-07 Shion Mifune , Taro Kanao , Tetsufumi Tanamoto

Quantum reservoir computing provides a framework for exploiting the natural dynamics of quantum systems as a computational resource. It can implement real-time signal processing and solve temporal machine learning problems in general, which…

Quantum Physics · Physics 2019-03-13 Kohei Nakajima , Keisuke Fujii , Makoto Negoro , Kosuke Mitarai , Masahiro Kitagawa

Reservoir Computing (RC) provides an efficient way for designing dynamical recurrent neural models. While training is restricted to a simple output component, the recurrent connections are left untrained after initialization, subject to…

Neural and Evolutionary Computing · Computer Science 2019-09-25 Claudio Gallicchio

An efficient approach to calculate approximate pure-state and transition reduced density matrices in the framework of the multireference relativistic Fock-space coupled cluster (FS CC) theory is proposed. The method is based on the…

Computational Physics · Physics 2025-06-12 Alexander V. Oleynichenko , Andrei Zaitsevskii , Leonid V. Skripnikov , Ephraim Eliav

We identify a hidden bottleneck in the information processing capacity of linear reservoir computers. When the measured features evolve linearly in the reservoir and the output is formed by linear readout with bias, we show that the…

Quantum Physics · Physics 2026-05-29 Johannes Nokkala , Federico Centrone , Francesco Arzani

We study the performance of an Ising spin network for quantum reservoir computing (QRC) in linear and non-linear memory tasks. We investigate the extent to which quantumness enhances performance by monitoring the behaviour of quantum…

Quantum Physics · Physics 2024-10-22 Youssef Kora , Hadi Zadeh-Haghighi , Terrence C Stewart , Khabat Heshami , Christoph Simon

The emerging technology of quantum reservoir computing (QRC) stands out in the noisy-intermediate scale quantum era (NISQ) for its exceptional efficiency and adaptability. By harnessing the power of quantum computing, it holds a great…

Quantum Physics · Physics 2024-01-09 L. Domingo , M. Grande , G. Carlo , F. Borondo , J. Borondo

Quantum reservoir computing is a class of quantum machine learning algorithms involving a reservoir of an echo state network based on a register of qubits, but the dependence of its memory capacity on the hyperparameters is still rather…

Quantum Physics · Physics 2023-02-24 Riccardo Molteni , Claudio Destri , Enrico Prati

Reservoir computing with optical devices offers an energy-efficient approach for time-series forecasting. Quantum dot lasers with feedback are modelled in this paper to explore the extent to which increased complexity in the charge carrier…

Computational Physics · Physics 2024-11-05 Huifang Dong , Lina Jaurigue , Kathy Lüdge

We present numerical simulation of a six-qubit quantum reservoir network with an output implemented on a 5-dimensional decoherence-free subspace (DFS), working as a classifier between entangled and product states of the input quantum…

Quantum Physics · Physics 2026-05-28 V. V. Akshay , M. V. Altaisky , N. E. Kaputkina

Reservoir Computing (RC) models, a subclass of recurrent neural networks, are distinguished by their fixed, non-trainable input layer and dynamically coupled reservoir, with only the static readout layer being trained. This design…

Machine Learning · Computer Science 2024-08-16 Robert Simon Fong , Boyu Li , Peter Tiňo

Utilizing a quantum system for reservoir computing has recently received a lot of attention. Key challenges are related to how on can optimally en- and decode classical information, as well as what constitutes a good reservoir. Our main…