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We establish the potential of continuous-variable Gaussian states of linear dynamical systems for machine learning tasks. Specifically, we consider reservoir computing, an efficient framework for online time series processing. As a…

We study the fundamental problem of learning a marginally stable unknown nonlinear dynamical system. We describe an algorithm for this problem, based on the technique of spectral filtering, which learns a mapping from past observations to…

Machine Learning · Computer Science 2025-08-19 Evan Dogariu , Anand Brahmbhatt , Elad Hazan

System identification is a key enabling component for the implementation of quantum technologies, including quantum control. In this paper, we consider the class of passive linear input-output systems, and investigate several basic…

Quantum Physics · Physics 2016-05-09 Madalin Guta , Naoki Yamamoto

Characterising optical quantum states is essential for the development of quantum technologies. While traditional approaches to perform full quantum state tomography are often experimentally demanding, neuromorphic architectures may provide…

A new minimal coupling method is introduced. A general dissipative quantum system is investigated consistently and systematically. Some coupling functions describing the interaction between the system and the environment are introduced.…

Quantum Physics · Physics 2007-05-23 F. Kheirandish , M. Amooshahi

Given the high power density low discharge rate and decreasing cost rechargeable lithium-ion batteries LiBs have found a wide range of applications such as power grid level storage systems electric vehicles and mobile devices. Developing a…

Systems and Control · Electrical Eng. & Systems 2023-02-07 Anh Phuong Ngo , Nhat Le , Hieu T. Nguyen , Abdullah Eroglu , Duong T. Nguyen

Attempts to apply Neural Networks (NN) to a wide range of research problems have been ubiquitous and plentiful in recent literature. Particularly, the use of deep NNs for understanding complex physical and chemical phenomena has opened a…

Machine Learning · Computer Science 2021-12-01 Arijit Sehanobish , Hector H. Corzo , Onur Kara , David van Dijk

Hybrid Quantum-Classical (HQC) Architectures are used in near-term NISQ Quantum Computers for solving Quantum Machine Learning problems. The quantum advantage comes into picture due to the exponential speedup offered over classical…

Quantum Physics · Physics 2024-04-16 Syed Farhan Ahmad , Raghav Rawat , Minal Moharir

We present a semiclassical analysis for a dissipative quantum map with an area-nonpreserving classical limit. We show that in the limit of Planck's constant to 0 the trace of an arbitrary natural power of the propagator is dominated by…

chao-dyn · Physics 2009-10-31 Daniel Braun , Petr A. Braun , Fritz Haake

With advanced micro- and nano-photonic structures, the vacuum photon-photon coupling rate is anticipated to approach the intrinsic loss rate and lead to unconventional quantum effects. Here, we investigate the classical-to-quantum…

Quantum Physics · Physics 2022-04-11 Yue-Xun Huang , Ming Li , Ke Lin , Yan-Lei Zhang , Guang-Can Guo , Chang-Ling Zou

Quantum neural networks generalize classical artificial neural networks into the quantum domain. They are formulated as parameterized quantum circuits which are optimized by measuring and minimizing a suitably chosen loss function. The core…

Quantum Physics · Physics 2026-04-29 Mario Boneberg , Simon Kochsiek , Igor Lesanovsky

We show that spatial resolved dissipation can act on $d$-dimensional spin systems in the Ising universality class by qualitatively modifying the nature of their critical points. We consider power-law decaying spin losses with a Lindbladian…

Statistical Mechanics · Physics 2022-08-17 Jamir Marino

Demonstrating quantum advantage in machine learning tasks requires navigating a complex landscape of proposed models and algorithms. To bring clarity to this search, we introduce a framework that connects the structure of parametrized…

Quantum Physics · Physics 2025-12-23 Sergi Masot-Llima , Elies Gil-Fuster , Carlos Bravo-Prieto , Jens Eisert , Tommaso Guaita

This paper generalizes the Maurer--Pontil framework of finite-dimensional lossy coding schemes to the setting where a high-dimensional random vector is mapped to an element of a compact set of latent representations in a lower-dimensional…

Machine Learning · Statistics 2019-04-02 Jaeho Lee , Maxim Raginsky

Classical artificial neural networks, built from perceptrons as their elementary units, possess enormous expressive power. Here we investigate a quantum neural network architecture, which follows a similar paradigm. It is structurally…

Statistical Mechanics · Physics 2025-06-05 Mario Boneberg , Federico Carollo , Igor Lesanovsky

In the NISQ (Noisy intermediate-scale quantum) area, Quantum computers can be utilized for deep learning by treating variational quantum circuits as neural network models. This can be achieved by first encoding the input data onto quantum…

High Energy Physics - Phenomenology · Physics 2023-11-29 A. Hammad , Kyoungchul Kong , Myeonghun Park , Soyoung Shim

At its microscopic level, the universe follows the laws of quantum mechanics. Focusing on the quantum trajectories of particles as followed from the hydrodynamical formulation of quantum mechanics, we propose that under general…

Quantum Physics · Physics 2024-02-27 Tomer Shushi

In this work, we introduce Dissipative SymODEN, a deep learning architecture which can infer the dynamics of a physical system with dissipation from observed state trajectories. To improve prediction accuracy while reducing network size,…

Machine Learning · Computer Science 2020-05-01 Yaofeng Desmond Zhong , Biswadip Dey , Amit Chakraborty

We show that the dynamical symmetry exists in dissipative quantum many-body systems. Under constraints on both Hamiltonian and dissipation parts, the time evolution of particular observables can be symmetric between repulsive and attractive…

Strongly Correlated Electrons · Physics 2022-06-01 Yi Zheng , Shuo Yang

Quantum machine learning has the potential for broad industrial applications, and the development of quantum algorithms for improving the performance of neural networks is of particular interest given the central role they play in machine…

Quantum Physics · Physics 2019-09-09 Jonathan Allcock , Chang-Yu Hsieh , Iordanis Kerenidis , Shengyu Zhang