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This paper studies the data-driven control of unknown linear-threshold network dynamics to stabilize the state to a reference value. We consider two types of controllers: (i) a state feedback controller with feed-forward reference input and…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Xuan Wang , Duy Duong-Tran , Jorge Cortés

In characterization of quantum systems, adapting measurement settings based on data while it is collected can generally outperform in efficiency conventional measurements that are carried out independently of data. The existing methods for…

Quantum Physics · Physics 2016-11-21 Markku P. V. Stenberg , Frank K. Wilhelm

Experimental data is often affected by uncontrolled variables that make analysis and interpretation difficult. For spatiotemporal systems, this problem is further exacerbated by their intricate dynamics. Modern machine learning methods are…

Computational Physics · Physics 2020-09-16 Peter Y. Lu , Samuel Kim , Marin Soljačić

Quantum computing requires the optimization of control pulses to achieve high-fidelity quantum gates. We propose a machine learning-based protocol to address the challenges of evaluating gradients and modeling complex system dynamics. By…

Quantum Physics · Physics 2026-01-27 Paul Surrey , Julian D. Teske , Tobias Hangleiter , Hendrik Bluhm , Pascal Cerfontaine

In this paper, we propose a novel quantum classifier utilizing dissipative engineering. Unlike standard quantum circuit models, the classifier consists of a central spin-qubit model. By subjecting the auxiliary qubits to carefully tailored…

Quantum Physics · Physics 2024-09-06 He Wang , Chuanbo Liu , Jin Wang

In this paper we propose a continuous-time, dissipative Markov dynamics that asymptotically drives a network of n-dimensional quantum systems to the set of states that are invariant under the action of the subsystem permutation group. The…

Quantum Physics · Physics 2026-03-09 Francesco Ticozzi , Luca Mazzarella , Alain Sarlette

Predicting the evolution of systems that exhibit spatio-temporal dynamics in response to external stimuli is a key enabling technology fostering scientific innovation. Traditional equations-based approaches leverage first principles to…

Machine Learning · Computer Science 2023-05-02 Francesco Regazzoni , Stefano Pagani , Matteo Salvador , Luca Dede' , Alfio Quarteroni

Data-driven methods for the identification of the governing equations of dynamical systems or the computation of reduced surrogate models play an increasingly important role in many application areas such as physics, chemistry, biology, and…

Dynamical Systems · Mathematics 2024-12-17 Stefan Klus , Hongyu Zhu

Quantum algorithms have been proposed to accelerate the simulation of the chaotic dynamical systems that are ubiquitous in the physics of plasmas. Quantum computers without error correction might even use noise to their advantage to…

Quantum Physics · Physics 2025-04-22 Max D. Porter , Ilon Joseph

This paper addresses the data-driven identification of latent dynamical representations of partially-observed systems, i.e., dynamical systems for which some components are never observed, with an emphasis on forecasting applications,…

Quantum simulation is a powerful tool to study the properties of quantum systems. The dynamics of open quantum systems are often described by Completely Positive (CP) maps, for which several quantum simulation schemes exist. We present a…

Quantum Physics · Physics 2023-12-22 Mirko Rossini , Dominik Maile , Joachim Ankerhold , Brecht I. C Donvil

Driven nonlinear quantum oscillators are a central platform for quantum technologies, yet their dissipative dynamics are typically described using Lindblad or Caldeira-Leggett master equations derived under assumptions that exclude…

Quantum Physics · Physics 2026-05-11 Jakob Wagner , Jeff Maki , Oded Zilberberg , Kilian Seibold

Quantum process characterization is a fundamental task in quantum information processing, yet conventional methods, such as quantum process tomography, require prohibitive resources and lack scalability. Here, we introduce an efficient…

Quantum Physics · Physics 2025-04-11 Yusen Wu , Yukun Zhang , Chuan Wang , Xiao Yuan

We employ unsupervised learning tools to identify different phases and their transition in quantum systems subject to the combined action of unitary evolution and stochastic measurements. Specifically, we consider principal component…

Statistical Mechanics · Physics 2022-11-03 Xhek Turkeshi

Characterizing the dynamics of open quantum systems at the level of microscopic interactions and error mechanisms is essential for calibrating quantum hardware, designing robust simulation protocols, and developing tailored error-correction…

Quantum Physics · Physics 2026-03-06 Petr Ivashkov , Nikita Romanov , Weiyuan Gong , Andi Gu , Hong-Ye Hu , Susanne F. Yelin

We introduce Lindblad-like quantum tomography (L$\ell$QT) as a quantum characterization technique of time-correlated noise in quantum information processors. This approach enables the estimation of time-local master equations, including…

Quantum Physics · Physics 2025-06-17 Santiago Varona , Markus Müller , Alejandro Bermudez

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

The Lindblad equation describes the dissipative time evolution of a density matrix that characterizes an open quantum system in contact with its environment. The widespread ensemble interpretation of a density matrix requires its time…

Quantum Physics · Physics 2020-09-04 Bernd Fernengel , Barbara Drossel

In mathematical psychology, decision makers are modeled using the Lindbladian equations from quantum mechanics to capture important human-centric features such as order effects and violation of the sure thing principle. We consider…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Luke Snow , Shashwat Jain , Vikram Krishnamurthy

Driven-dissipative qubit-resonator dynamics, which are the basis of most dispersive superconducting qubit measurement schemes, are often modeled with Lindblad master equations built from subsystem local jump operators, even when the qubit…

Quantum Physics · Physics 2026-05-29 Prakritish Gogoi , Angela Riva , Émile Cochin , Alex Chin
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