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Exact numerical simulations of dynamics of open quantum systems often require immense computational resources. We demonstrate that a deep artificial neural network comprised of convolutional layers is a powerful tool for predicting…

Computational Physics · Physics 2020-12-22 Luis E. Herrera Rodriguez , Alexei A. Kananenka

The simulation of driven dissipative quantum dynamics is often prohibitively computation-intensive, especially when it is calculated for various shapes of the driving field. We engineer a new feature space for representing the field and…

Quantum Physics · Physics 2021-08-16 Nikolai D. Klimkin

Neural networks have emerged as a powerful way to approach many practical problems in quantum physics. In this work, we illustrate the power of deep learning to predict the dynamics of a quantum many-body system, where the training is…

It has been recently shown that supervised machine learning (ML) algorithms can accurately and efficiently predict the long-time populations dynamics of dissipative quantum systems given only short-time population dynamics. In the present…

We investigate the dissipative dynamics of quantum population and coherence among different network topologies of a quantum network using a quantum spin model coupled to a thermal bosonic reservoir. Our study proceeds in two parts. First,…

Quantum Physics · Physics 2026-01-23 Wei-Yang Liu , Hsuan-Wei Lee

Autonomous transportation systems such as road vehicles or vessels require the consideration of the static and dynamic environment to dislocate without collision. Anticipating the behavior of an agent in a given situation is required to…

Machine Learning · Computer Science 2024-06-06 Kathrin Donandt , Dirk Söffker

The accurate (or even approximate) solution of the equations that govern the dynamics of dissipative quantum systems remains a challenging task for quantum science. While several algorithms have been designed to solve those equations with…

Quantum Physics · Physics 2024-03-27 Jiaji Zhang , Carlos L. Benavides-Riveros , Lipeng Chen

Complex time-varying systems are often studied by abstracting away from the dynamics of individual components to build a model of the population-level dynamics from the start. However, when building a population-level description, it can be…

Neurons and Cognition · Quantitative Biology 2022-10-21 Ran Liu , Mehdi Azabou , Max Dabagia , Jingyun Xiao , Eva L. Dyer

We investigate the potential of supervised machine learning to propagate a quantum system in time. While Markovian dynamics can be learned easily, given a sufficient amount of data, non-Markovian systems are non-trivial and their…

Quantum Physics · Physics 2022-07-13 James Nelson , Luuk Coopmans , Graham Kells , Stefano Sanvito

We show that a neural network originally designed for language processing can learn the dynamical rules of a stochastic system by observation of a single dynamical trajectory of the system, and can accurately predict its emergent behavior…

Statistical Mechanics · Physics 2022-02-18 Corneel Casert , Isaac Tamblyn , Stephen Whitelam

Predicting the quantum dynamics of promising solid-state and molecular quantum technology candidates remains a formidable challenge. Yet, accessing these dynamics is key to understanding and controlling decoherence mechanisms -- a…

Chemical Physics · Physics 2026-04-10 Tianchu Li , Pranay Venkatesh , Nanako Shitara , Andrés Montoya-Castillo

This paper introduces a novel method for approximating the dynamics of a large autonomous system projected onto a fixed subspace. The core contribution is a novel recursive algorithm to construct an effective time-dependent generator that…

Quantum Physics · Physics 2025-10-24 Tommaso Grigoletto

Attention-based neural networks such as transformers have revolutionized various fields such as natural language processing, genomics, and vision. Here, we demonstrate the use of transformers for quantum feedback control through both a…

Quantum Physics · Physics 2026-02-26 Pranav Vaidhyanathan , Florian Marquardt , Mark T. Mitchison , Natalia Ares

Accurately predicting the dynamics of robotic systems is crucial for model-based control and reinforcement learning. The most common way to estimate dynamics is by fitting a one-step ahead prediction model and using it to recursively…

Machine Learning · Computer Science 2021-09-02 Nathan O. Lambert , Albert Wilcox , Howard Zhang , Kristofer S. J. Pister , Roberto Calandra

A convolutional encoder-decoder-based transformer model is proposed for autoregressively training on spatio-temporal data of turbulent flows. The prediction of future fluid flow fields is based on the previously predicted fluid flow field…

Fluid Dynamics · Physics 2023-03-31 Aakash Patil , Jonathan Viquerat , Elie Hachem

I present a data-driven predictive modeling tool that is applicable to high-dimensional chaotic systems with unstable periodic orbits. The basic idea is using deep neural networks to learn coordinate transformations between the trajectories…

Adaptation and Self-Organizing Systems · Physics 2023-12-11 Nazmi Burak Budanur

Time series prediction (TSP) has been widely used in various fields, such as life sciences and finance, to forecast future trends based on historical data. However, to date, there has been relatively little research conducted on the TSP for…

Quantum Physics · Physics 2024-01-15 Zhao-Wei Wang , Zhao-Ming Wang

To predict rare extreme events using deep neural networks, one encounters the so-called small data problem because even long-term observations often contain few extreme events. Here, we investigate a model-assisted framework where the…

Machine Learning · Computer Science 2022-04-20 Anna Asch , Ethan Brady , Hugo Gallardo , John Hood , Bryan Chu , Mohammad Farazmand

The machine learning approaches are applied in the dynamical simulation of open quantum systems. The long short-term memory recurrent neural network (LSTM-RNN) models are used to simulate the long-time quantum dynamics, which are built…

Quantum Physics · Physics 2022-05-10 Kunni Lin , Jiawei Peng , Chao Xu , Feng Long Gu , Zhenggang Lan

A reliable long-term time-series forecaster is highly demanded in practice but comes across many challenges such as low computational and memory footprints as well as robustness against dynamic learning environments. This paper proposes…

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