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Reservoir computing is a very promising approach for the prediction of complex nonlinear dynamical systems. Besides capturing the exact short-term trajectories of nonlinear systems, it has also proved to reproduce its characteristic…

Data Analysis, Statistics and Probability · Physics 2020-06-19 Alexander Haluszczynski , Jonas Aumeier , Joschka Herteux , Christoph Räth

Reservoir computing is a powerful tool for forecasting turbulence because its simple architecture has the computational efficiency to handle large systems. Its implementation, however, often requires full state-vector measurements and…

Fluid Dynamics · Physics 2022-12-02 Vikrant Gupta , Larry K. B. Li , Shiyi Chen , Minping Wan

Two-photon loss mechanisms often accompany a Kerr nonlinearity. The kinetic inductance exhibited by superconducting transmission lines provides an example of a Kerr-like nonlinearity that is accompanied by a nonlinear resistance of the…

Quantum Physics · Physics 2009-11-11 Bernard Yurke , Eyal Buks

Nonlinear computation is essential for various information processing tasks. Optical implementations are attractive because passive light propagation can manipulate high-dimensional signals with extreme throughput and parallelism; yet…

Integrated photonic reservoir computing has been demonstrated to be able to tackle different problems because of its neural network nature. A key advantage of photonic reservoir computing over other neuromorphic paradigms is its…

Strong nonlinearity at the single photon level represents a crucial enabling tool for optical quantum technologies. Here we report on experimental implementation of a strong Kerr nonlinearity by measurement-induced quantum operations on…

Optical computing provides a promising path toward energy-efficient machine learning, yet implementing nonlinear transformations without complex electronics or high-power sources remains challenging. Here, we demonstrate that…

Multimode fiber systems are desirable for industrial and scientific applications. As an interesting effect for the laser beam propagation in a multimode fiber, nonlinear Kerr beam cleanup has attracted considerable research interest due to…

Optics · Physics 2022-06-07 Baofu Zhang , Shanchao Ma , Qiurun He , Sihua Lu , Wei Guo , Zhongxing Jiao , Biao Wang

We investigate the modulational instability and time-domain dynamics of nonlinear magnetic metamaterials composed of coupled split-ring resonators loaded by Kerr nonlinearity. Our results indicate that the recently proposed optical…

Materials Science · Physics 2012-04-18 Yi S. Ding , Ruo-Peng Wang

We study a critically coupled system (Opt. Lett., \textbf{32}, 1483 (2007)) with a Kerr-nonlinear spacer layer. Nonlinearity is shown to inhibit null-scattering in a critically coupled system at low powers. However, a system detuned from…

Optics · Physics 2015-06-16 K. Nireekshan Reddy , Achanta Venu Gopal , S. Dutta Gupta

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

In this article, we study the effects of intrinsic nonlinear optomechanical interaction on the linear response of a driven-dissipative optomechanical system to a weak time-dependent perturbation. By calculating the linear response of the…

Quantum Physics · Physics 2025-02-17 B. Askari , A. Dalafi , M. J. Kazemi

In this letter, we investigate the quantum optical properties of driven-dissipative nonlinear systems in a cascade configuration. We show that pumping a nonlinear system with a state having a noncoherent statistics, can improve the…

Quantum Physics · Physics 2018-05-24 Giuseppe Buonaiuto , Emiliano Cancellieri , David M. Whittaker

Kerr nonlinear cavities displaying optical thresholding have been proposed for the realization of ultra-low power photonic logic gates. In the ultra-low photon number regime, corresponding to energy levels in the attojoule scale, quantum…

Quantum Physics · Physics 2016-10-27 Zhan Shi , Hendra I. Nurdin

Reservoir Computing is a relatively recent computational framework based on a large Recurrent Neural Network with fixed weights. Many physical implementations of Reservoir Computing have been proposed to improve speed and energy efficiency.…

Emerging Technologies · Computer Science 2019-09-10 Jonathan Dong , Mushegh Rafayelyan , Florent Krzakala , Sylvain Gigan

Amidst the array of quantum machine learning algorithms, the quantum kernel method has emerged as a focal point, primarily owing to its compatibility with noisy intermediate-scale quantum devices and its promise to achieve quantum…

Quantum Physics · Physics 2024-09-13 Shahram Dehdashti , Prayag Tiwari , Kareem H. El Safty , Peter Bruza , Janis Notzel

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

One of the main problems that optical quantum computing has to overcome is the efficient construction of two-photon gates. Theoretically these gates can be realized using Kerr-nonlinearities, but the techniques involved are experimentally…

Quantum Physics · Physics 2016-07-15 Pål Sundsøy , Egil Fjeldberg

Integrated nonlinear wavelength converters transfer optical energy from lasers or quantum emitters to other useful colors, but chromatic dispersion limits the range of achievable wavelength shifts. Moreover, because of geometric dispersion,…

Nonlinear optical processing of ambient natural light is highly desired in computational imaging and sensing applications. A strong optical nonlinear response that can work under weak broadband incoherent light is essential for this…

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