Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2508.11175 · Photonics for Quantum (PfQ)

The role of entanglement in quantum reservoir computing with coupled Kerr nonlinear oscillators

Ali Karimi, Hadi Zadeh‐Haghighi, Youssef Kora, Christoph Simon

Published Jun 13, 2025• 0 citations
arXivHTMLPDF

Abstract

Quantum Reservoir Computing (QRC) utilizes the intrinsic dynamics of quantum systems to process temporal data efficiently, offering potential advantages in computational power and energy efficiency. Unlike classical reservoirs, quantum reservoirs leverage properties such as superposition and entanglement, which may enhance information processing capabilities. In this work, we investigate a QRC framework based on two coupled Kerr nonlinear oscillators, a system well-suited for time-series prediction tasks due to its complex nonlinear interactions and potentially high-dimensional state space. We explore how its performance in time-series prediction depends on key physical parameters: input drive strength, Kerr nonlinearity, and oscillator coupling, and analyze the role of entanglement in improving the reservoir’s computational performance, focusing on its effect on predicting non-trivial time series. Using logarithmic negativity to quantify entanglement and normalized root mean square error (NRMSE) to evaluate predictive accuracy, our results suggest that entanglement provides a computational advantage on average up to a threshold in the input frequency, which persists under some levels of dissipation and dephasing. These findings contribute to the broader understanding of quantum reservoirs and highlight their potential for high performance, efficient quantum machine learning and time-series forecasting.

DOI
10.1117/12.3066098

Related papers

The Role of Entanglement in Quantum Reservoir Computing with Coupled Kerr Nonlinear Oscillators

Karimi, Ali

The growing demand for efficient machine learning has motivated the exploration of neuro-morphic and reservoir computing, which are rooted in brain-inspired approaches that mimic the recurrent dynamics and adaptive information processing of biological neural circuits. These methods leverage the intrinsic dynamics of physical systems to process temporal in-formation with minimal training. Extending these ideas, Quantum Reservoir Computing (QRC) seeks to exploit uniquely quantum features—such as coherence, entanglement, and nonlinearity—for enhanced performance. Yet, the precise role of quantum resources in QRC remains unclear. This thesis investigates entanglement as a computational resource in QRC, focusing on a model of two coupled Kerr nonlinear oscillators. The Kerr platform is well suited for time-series prediction tasks due to its nonlinear interactions and access to a large Hilbert space. Using logarithmic negativity to quantify entanglement and normalized root mean square error (NRMSE) to measure predictive accuracy, we evaluate the effect of input drive strength, Kerr nonlinearity, and oscillator coupling on reservoir performance. Our results show that entanglement is related to improved computational accuracy on average and in worst-case scenarios, though it does not reduce the best-case error. The advantage persists under realistic imperfections: dissipation can enhance performance in certain regimes, while moderate dephasing does not completely remove the benefit. This thesis situates QRC within the context of neuromorphic and reservoir computing. It demonstrates the computational role of entanglement in a physically motivated QRC model and evaluates how key physical parameters affect performance under realistic conditions. This work advances understanding of whether and how quantum phenomena can be har-nessed for efficient learning, paving the way for high-performance quantum machine learning and time-series forecasting.

•Dec 9, 2025•0 citations

Quantum Reservoir Computing for Time-Series Forecasting

Jincheng Zhang

This paper explores the application of quantum reservoir computing (QRC) to time-series forecasting. Traditional reservoir computing methods, while effective for certain time-series, often face limitations when dealing with complex, high-dimensional data. This research proposes a novel approach utilizing a quantum system, such as a driven oscillator, as the reservoir, capitalizing on the inherent quantum properties for enhanced temporal processing. The core idea involves mapping the input time series onto the quantum reservoir, allowing the reservoir's quantum state to evolve dynamically. A linear readout layer is then trained to predict future values based on the evolved state. We investigate the potential advantages of QRC, specifically its ability to capture non-linear relationships and high-dimensional correlations within the time series data. The theoretical framework is presented, outlining the key components and the training methodology. Simulation results (described in detail below) demonstrate the feasibility and potential performance gains of QRC compared to classical reservoir computing. This research contributes to the growing field of quantum computing applied to time-series analysis.

•Aug 29, 2026•0 citations

Quantum Reservoir Computing for Time Series Prediction

Jincheng Zhang

This paper investigates the application of quantum reservoir computing (QRC) to time series prediction. Classical reservoir computing (RC) utilizes a complex, high-dimensional system – the 'reservoir' – as a non-linear feature extractor, followed by a linear regression model for prediction. QRC extends this concept by leveraging the inherent dynamics of a quantum system as the reservoir. We hypothesize that quantum systems, due to their superposition and entanglement properties, can provide richer and more complex dynamics than classical reservoirs, potentially leading to improved prediction accuracy. This work outlines the theoretical framework for QRC, detailing the setup of a suitable quantum reservoir (e.g., a superconducting qubit array), the measurement process, and the training strategy involving a classical machine learning model. We demonstrate a conceptual approach, focusing on the potential advantages and challenges of employing quantum systems for this task. The core claim is that QRC can achieve superior time series prediction accuracy compared to classical RC methods. Key elements explored include the input signal's influence on the quantum reservoir, the selection of appropriate measurement schemes, and the choice of classical learning algorithms. The paper concludes with a discussion of future research directions and the potential impact of QRC on various time series prediction applications.

•Aug 31, 2026•0 citations

Quantum reservoir computing in Jaynes-Cummings models: Nonlinear memory and time-series prediction

Sreetama Das, Gian Luca Giorgi, Roberta Zambrini

We investigate quantum reservoir computing (QRC) using a hybrid qubit-boson system described by the Jaynes-Cummings (JC) Hamiltonian and its dispersive limit (DJC). These models provide high-dimensional Hilbert spaces and intrinsic nonlinear dynamics, making them powerful substrates for temporal information processing. We systematically benchmark both reservoirs through linear and nonlinear memory tasks, demonstrating that they exhibit an unusual superior nonlinear over linear memory capacity. We further test their predictive performance on the Mackey-Glass time series, a widely used benchmark for chaotic dynamics, and show comparable forecasting ability. We also investigate how memory and prediction accuracy vary with reservoir parameters and show the role of higher-order bosonic observables and time multiplexing in enhancing expressivity, even in minimal spin-boson configurations. Our results establish JC- and DJC-based reservoirs as versatile platforms for time-series processing and as elementary units that overcome the setting of equivalent qubit pairs and offer pathways toward tunable, high-performance quantum machine learning architectures.

arXiv:2510.00171•Physical Review Research•Mar 12, 2026•0 citations

Quantum Reservoir Computing for Time Series Prediction with Entangled Reservoirs

Jincheng Zhang

This paper explores the application of quantum reservoir computing (QRC) utilizing entangled quantum reservoirs for enhanced time series prediction. Traditional reservoir computing relies on randomly connected recurrent neural networks, often struggling to effectively capture complex temporal dependencies inherent in time series data. We propose a novel approach where the reservoir is replaced by a quantum system, specifically a collection of coupled qubits, governed by quantum interference. The introduction of entanglement within the reservoir is hypothesized to significantly improve its ability to model and predict time series data. Theoretical analysis and simplified models demonstrate a potential for enhanced performance compared to classical reservoir computing methods. The core claim is that entangled quantum reservoirs can achieve superior time series prediction accuracy. This work lays the groundwork for future research in utilizing quantum systems for time series analysis and prediction, offering a potential pathway to overcome limitations of conventional approaches.

•Sep 6, 2026•0 citations

Quantum Reservoir Computing for Adaptive Control of Complex Dynamical Systems

Jincheng Zhang

This paper investigates the application of quantum reservoir computing (QRC) for adaptive control of complex dynamical systems. The core concept leverages quantum superposition and entanglement within a reservoir of coupled qubits to enhance the accuracy and speed of control signal generation. Unlike traditional reservoir computing, this approach explicitly utilizes quantum phenomena for improved performance. A small, randomly coupled quantum system, acting as the reservoir, is exposed to the dynamics of the system being controlled. The output of the reservoir is then used to train a classical controller, capitalizing on quantum interference effects. We present a theoretical framework outlining the methodology and demonstrate, through mathematical analysis, the potential advantages of QRC over conventional control methods, particularly for highly nonlinear systems. The work explores the key parameters influencing QRC performance, including the number of qubits, coupling strengths, and the training algorithm. Initial results suggest a significant improvement in control accuracy and convergence speed compared to classical reservoir approaches.

•Sep 3, 2026•0 citations
Quantum Reservoir Computing (QRC) utilizes the intrinsic dynamics of quantum systems to process temporal data efficiently, offering potential advantages in computational power and energy efficiency. Unlike classical reservoirs, quantum reservoirs leverage properties such as superposition and entanglement, which may enhance information processing capabilities. In this work, we investigate a QRC framework based on two coupled Kerr nonlinear oscillators, a system well-suited for time-series prediction tasks due to its complex nonlinear interactions and potentially high-dimensional state space. We explore how its performance in time-series prediction depends on key physical parameters: input drive strength, Kerr nonlinearity, and oscillator coupling, and analyze the role of entanglement in improving the reservoir’s computational performance, focusing on its effect on predicting non-trivial time series. Using logarithmic negativity to quantify entanglement and normalized root mean square error (NRMSE) to evaluate predictive accuracy, our results suggest that entanglement provides a computational advantage on average up to a threshold in the input frequency, which persists under some levels of dissipation and dephasing. These findings contribute to the broader understanding of quantum reservoirs and highlight their potential for high performance, efficient quantum machine learning and time-series forecasting.
The growing demand for efficient machine learning has motivated the exploration of neuro-morphic and reservoir computing, which are rooted in brain-inspired approaches that mimic the recurrent dynamics and adaptive information processing of biological neural circuits. These methods leverage the intrinsic dynamics of physical systems to process temporal in-formation with minimal training. Extending these ideas, Quantum Reservoir Computing (QRC) seeks to exploit uniquely quantum features—such as coherence, entanglement, and nonlinearity—for enhanced performance. Yet, the precise role of quantum resources in QRC remains unclear. This thesis investigates entanglement as a computational resource in QRC, focusing on a model of two coupled Kerr nonlinear oscillators. The Kerr platform is well suited for time-series prediction tasks due to its nonlinear interactions and access to a large Hilbert space. Using logarithmic negativity to quantify entanglement and normalized root mean square error (NRMSE) to measure predictive accuracy, we evaluate the effect of input drive strength, Kerr nonlinearity, and oscillator coupling on reservoir performance. Our results show that entanglement is related to improved computational accuracy on average and in worst-case scenarios, though it does not reduce the best-case error. The advantage persists under realistic imperfections: dissipation can enhance performance in certain regimes, while moderate dephasing does not completely remove the benefit. This thesis situates QRC within the context of neuromorphic and reservoir computing. It demonstrates the computational role of entanglement in a physically motivated QRC model and evaluates how key physical parameters affect performance under realistic conditions. This work advances understanding of whether and how quantum phenomena can be har-nessed for efficient learning, paving the way for high-performance quantum machine learning and time-series forecasting.
This paper explores the application of quantum reservoir computing (QRC) to time-series forecasting. Traditional reservoir computing methods, while effective for certain time-series, often face limitations when dealing with complex, high-dimensional data. This research proposes a novel approach utilizing a quantum system, such as a driven oscillator, as the reservoir, capitalizing on the inherent quantum properties for enhanced temporal processing. The core idea involves mapping the input time series onto the quantum reservoir, allowing the reservoir's quantum state to evolve dynamically. A linear readout layer is then trained to predict future values based on the evolved state. We investigate the potential advantages of QRC, specifically its ability to capture non-linear relationships and high-dimensional correlations within the time series data. The theoretical framework is presented, outlining the key components and the training methodology. Simulation results (described in detail below) demonstrate the feasibility and potential performance gains of QRC compared to classical reservoir computing. This research contributes to the growing field of quantum computing applied to time-series analysis.
This paper investigates the application of quantum reservoir computing (QRC) to time series prediction. Classical reservoir computing (RC) utilizes a complex, high-dimensional system – the 'reservoir' – as a non-linear feature extractor, followed by a linear regression model for prediction. QRC extends this concept by leveraging the inherent dynamics of a quantum system as the reservoir. We hypothesize that quantum systems, due to their superposition and entanglement properties, can provide richer and more complex dynamics than classical reservoirs, potentially leading to improved prediction accuracy. This work outlines the theoretical framework for QRC, detailing the setup of a suitable quantum reservoir (e.g., a superconducting qubit array), the measurement process, and the training strategy involving a classical machine learning model. We demonstrate a conceptual approach, focusing on the potential advantages and challenges of employing quantum systems for this task. The core claim is that QRC can achieve superior time series prediction accuracy compared to classical RC methods. Key elements explored include the input signal's influence on the quantum reservoir, the selection of appropriate measurement schemes, and the choice of classical learning algorithms. The paper concludes with a discussion of future research directions and the potential impact of QRC on various time series prediction applications.
We investigate quantum reservoir computing (QRC) using a hybrid qubit-boson system described by the Jaynes-Cummings (JC) Hamiltonian and its dispersive limit (DJC). These models provide high-dimensional Hilbert spaces and intrinsic nonlinear dynamics, making them powerful substrates for temporal information processing. We systematically benchmark both reservoirs through linear and nonlinear memory tasks, demonstrating that they exhibit an unusual superior nonlinear over linear memory capacity. We further test their predictive performance on the Mackey-Glass time series, a widely used benchmark for chaotic dynamics, and show comparable forecasting ability. We also investigate how memory and prediction accuracy vary with reservoir parameters and show the role of higher-order bosonic observables and time multiplexing in enhancing expressivity, even in minimal spin-boson configurations. Our results establish JC- and DJC-based reservoirs as versatile platforms for time-series processing and as elementary units that overcome the setting of equivalent qubit pairs and offer pathways toward tunable, high-performance quantum machine learning architectures.
This paper explores the application of quantum reservoir computing (QRC) utilizing entangled quantum reservoirs for enhanced time series prediction. Traditional reservoir computing relies on randomly connected recurrent neural networks, often struggling to effectively capture complex temporal dependencies inherent in time series data. We propose a novel approach where the reservoir is replaced by a quantum system, specifically a collection of coupled qubits, governed by quantum interference. The introduction of entanglement within the reservoir is hypothesized to significantly improve its ability to model and predict time series data. Theoretical analysis and simplified models demonstrate a potential for enhanced performance compared to classical reservoir computing methods. The core claim is that entangled quantum reservoirs can achieve superior time series prediction accuracy. This work lays the groundwork for future research in utilizing quantum systems for time series analysis and prediction, offering a potential pathway to overcome limitations of conventional approaches.
This paper investigates the application of quantum reservoir computing (QRC) for adaptive control of complex dynamical systems. The core concept leverages quantum superposition and entanglement within a reservoir of coupled qubits to enhance the accuracy and speed of control signal generation. Unlike traditional reservoir computing, this approach explicitly utilizes quantum phenomena for improved performance. A small, randomly coupled quantum system, acting as the reservoir, is exposed to the dynamics of the system being controlled. The output of the reservoir is then used to train a classical controller, capitalizing on quantum interference effects. We present a theoretical framework outlining the methodology and demonstrate, through mathematical analysis, the potential advantages of QRC over conventional control methods, particularly for highly nonlinear systems. The work explores the key parameters influencing QRC performance, including the number of qubits, coupling strengths, and the training algorithm. Initial results suggest a significant improvement in control accuracy and convergence speed compared to classical reservoir approaches.