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We present a numerical method for learning the dynamics of slow components of unknown multiscale stochastic dynamical systems. While the governing equations of the systems are unknown, bursts of observation data of the slow variables are…

机器学习 · 计算机科学 2024-08-28 Yuan Chen , Dongbin Xiu

We propose and analyze a versatile and efficient multiparameter quantum sensing protocol, which simultaneously estimates many non-commuting and time-dependent signals that are coherently or incoherently coupled to sensing particles. Even in…

量子物理 · 物理学 2026-02-02 Wenjie Gong , Bingtian Ye , Daniel Mark , Soonwon Choi

We address tracking and prediction of multiple moving objects in visual data streams as inference and sampling in a disentangled latent state-space model. By encoding objects separately and including explicit position information in the…

机器学习 · 统计学 2019-10-15 Adnan Akhundov , Maximilian Soelch , Justin Bayer , Patrick van der Smagt

Unsupervised machine learning models build an internal representation of their training data without the need for explicit human guidance or feature engineering. This learned representation provides insights into which features of the data…

量子物理 · 物理学 2024-01-09 Felix Frohnert , Evert van Nieuwenburg

We introduce machine learning models of quantum mechanical observables of atoms in molecules. Instant out-of-sample predictions for proton and carbon nuclear chemical shifts, atomic core level excitations, and forces on atoms reach…

化学物理 · 物理学 2015-08-26 Matthias Rupp , Raghunathan Ramakrishnan , O. Anatole von Lilienfeld

Real-time dynamics of quantum observables provide direct access to excitation spectra and correlation functions in quantum many-body systems, but currently available quantum devices are limited to short evolution times due to decoherence.…

量子物理 · 物理学 2026-03-17 Jinyang Li , Satoshi Iso , Shunji Matsuura , Lingxiao Wang , Xiaoyang Wang

We study the time evolution of quantum entanglement for a specific class of quantum dynamics, namely the locally scrambled quantum dynamics, where each step of the unitary evolution is drawn from a random ensemble that is invariant under…

无序系统与神经网络 · 物理学 2020-07-01 Wei-Ting Kuo , A. A. Akhtar , Daniel P. Arovas , Yi-Zhuang You

We consider quantum quenches in integrable models. We argue that the behaviour of local observables at late times after the quench is given by their expectation values with respect to a single representative Hamiltonian eigenstate. This can…

统计力学 · 物理学 2013-07-29 Jean-Sebastien Caux , Fabian H. L. Essler

Estimating physical properties of quantum states from measurements is one of the most fundamental tasks in quantum science. In this work, we identify conditions on states under which it is possible to infer the expectation values of all…

量子物理 · 物理学 2024-05-01 Cambyse Rouzé , Daniel Stilck França

Projective measurements are a key element in quantum physics and enable rich phenomena in monitored quantum dynamics. Here, we show that the measurement outcomes, recorded during monitored dynamics, can provide crucial information about the…

量子物理 · 物理学 2025-12-02 Zheng-Hang Sun , Fabian Ballar Trigueros , Qicheng Tang , Markus Heyl

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…

Random dynamics in isolated quantum systems is of practical use in quantum information and is of theoretical interest in fundamental physics. Despite a large number of theoretical studies, it has not been addressed how random dynamics can…

量子物理 · 物理学 2022-10-12 Masahiro Fujii , Ryosuke Kutsuzawa , Yasunari Suzuki , Yoshifumi Nakata , Masaki Owari

In the design of engineered components, rigorous vibration testing is essential for performance validation and identification of resonant frequencies and amplitudes encountered during operation. Performing this evaluation numerically via…

机器学习 · 计算机科学 2026-03-12 D. Bluedorn , A. Badawy , B. E. Saunders , D. Roettgen , A. Abdelkefi

Analyzing signals arising from dynamical systems typically requires many modeling assumptions and parameter estimation. In high dimensions, this modeling is particularly difficult due to the "curse of dimensionality". In this paper, we…

系统与控制 · 计算机科学 2016-12-21 Tal Shnitzer , Ronen Talmon , Jean-Jacques Slotine

Quantum Machine Learning (QML) has emerged as a promising field that combines the power of quantum computing with the principles of machine learning. One of the significant challenges in QML is dealing with noise in quantum systems,…

量子物理 · 物理学 2024-09-13 Bikram Khanal , Pablo Rivas

This paper describes a simple, causally deterministic model of quantum measurement based on an amplitude threshold detection scheme. Surprisingly, it is found to reproduce many phenomena normally thought to be uniquely quantum in nature. To…

量子物理 · 物理学 2021-04-28 Brian R. La Cour

Interpretable machine learning is rapidly becoming a crucial tool for scientific discovery. Among existing approaches, variational autoencoders (VAEs) have shown promise in extracting the hidden physical features of some input data, with no…

With an ever-expanding ecosystem of noisy and intermediate-scale quantum devices, exploring their possible applications is a rapidly growing field of quantum information science. In this work, we demonstrate that variational quantum…

量子物理 · 物理学 2021-07-16 Johannes Jakob Meyer , Johannes Borregaard , Jens Eisert

Interpretability and uncertainty quantification in machine learning can provide justification for decisions, promote scientific discovery and lead to a better understanding of model behavior. Symbolic regression provides inherently…

神经与进化计算 · 计算机科学 2022-11-23 G. F. Bomarito , P. E. Leser , N. C. M Strauss , K. M. Garbrecht , J. D. Hochhalter

The advent of cloud quantum computing has led to the rapid development of quantum algorithms. In particular, it is necessary to study variational quantum-classical hybrid algorithms, which are executable on noisy intermediate-scale quantum…

量子物理 · 物理学 2020-07-02 Ikko Hamamura , Takashi Imamichi