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In quantum many-body systems, characterizing topological phase transitions typically requires complex many-body topological invariants, which are costly to compute and measure. Inspired by quantum reservoir computing, we propose an…

量子物理 · 物理学 2026-01-21 Li Xin , Da Zhang , Zhang-Qi Yin

Kernel density estimation is a key component of a wide variety of algorithms in machine learning, Bayesian inference, stochastic dynamics and signal processing. However, the unsupervised density estimation technique requires tuning a…

机器学习 · 计算机科学 2025-12-17 Sunia Tanweer , Firas A. Khasawneh

One of the most striking features of quantum mechanics is the appearance of phases of matter with topological origins. These phases result in remarkably robust macroscopic phenomena such as the edge modes in integer quantum Hall systems,…

Entanglement, which quantifies non-local correlations in quantum mechanics, is the fascinating concept behind much of aspiration towards quantum technologies. Nevertheless, directly measuring the entanglement of a many-particle system is…

无序系统与神经网络 · 物理学 2019-01-02 Richard Berkovits

The topological phases of two-dimensional time-reversal symmetric insulators are classified by a $\mathbb{Z}_{2}$ topological invariant. Usually, the invariant is introduced and calculated by exploiting the way time-reversal symmetry acts…

介观与纳米尺度物理 · 物理学 2024-09-06 Nicolas Baù , Antimo Marrazzo

This paper presents a topological analytics approach within the 5-level Cyber-Physical Systems (CPS) architecture for the Stream-of-Quality assessment in smart manufacturing. The proposed methodology not only enables real-time quality…

机器学习 · 计算机科学 2024-04-24 Jay Lee , Dai-Yan Ji , Yuan-Ming Hsu

Despite rapidly growing interest in harnessing machine learning in the study of quantum many-body systems, training neural networks to identify quantum phases is a nontrivial challenge. The key challenge is in efficiently extracting…

强关联电子 · 物理学 2017-05-31 Yi Zhang , Eun-Ah Kim

Topology inference is a powerful tool to better understand the behaviours of network systems (NSs). Different from most of prior works, this paper is dedicated to inferring the directed topology of NSs from noisy observations, where the…

系统与控制 · 电气工程与系统科学 2025-09-03 Qing Jiao , Yushan Li , Jianping He

The classification of phase transitions is a central and challenging task in condensed matter physics. Typically, it relies on the identification of order parameters and the analysis of singularities in the free energy and its derivatives.…

Over the past years, machine learning has emerged as a powerful computational tool to tackle complex problems over a broad range of scientific disciplines. In particular, artificial neural networks have been successfully deployed to…

量子物理 · 物理学 2021-01-28 Juan Carrasquilla , Giacomo Torlai

Extracting Hamiltonian parameters from available experimental data is a challenge in quantum materials. In particular, real-space spectroscopy methods such as scanning tunneling spectroscopy allow probing electronic states with atomic…

介观与纳米尺度物理 · 物理学 2024-01-23 Maryam Khosravian , Rouven Koch , Jose L. Lado

Scalable quantum technologies will present challenges for characterizing and tuning quantum devices. This is a time-consuming activity, and as the size of quantum systems increases, this task will become intractable without the aid of…

An insulator differs from a metal because of a different organization of the electrons in their ground state. In recent years this feature has been probed by means of a geometrical property: the quantum metric tensor, which addresses the…

介观与纳米尺度物理 · 物理学 2019-05-20 Antimo Marrazzo , Raffaele Resta

The recent advances in machine learning hold great promise for the fields of quantum sensing and metrology. With the help of reinforcement learning, we can tame the complexity of quantum systems and solve the problem of optimal experimental…

量子物理 · 物理学 2024-03-18 Federico Belliardo , Fabio Zoratti , Vittorio Giovannetti

Topology optimization is used for the design of high-performance structures but remains fundamentally limited by its iterative nature, requiring repeated finite element analyses that prevent real-time deployment and large-scale design…

计算工程、金融与科学 · 计算机科学 2026-04-07 Aaron Lutheran , Srijan Das , Alireza Tabarraei

Machine-learning techniques are evolving into a subsidiary tool for studying phase transitions in many-body systems. However, most studies are tied to situations involving only one phase transition and one order parameter. Systems that…

统计力学 · 物理学 2019-03-20 Ke Liu , Jonas Greitemann , Lode Pollet

Efficient operation of distribution grids in the smart-grid era is hindered by the limited presence of real-time nodal and line meters. In particular, this prevents the easy estimation of grid topology and associated line parameters that…

系统与控制 · 计算机科学 2020-03-03 Sejun Park , Deepjyoti Deka , Scott Backhaus , Michael Chertkov

Machine learning algorithms provide a new perspective on the study of physical phenomena. In this paper, we explore the nature of quantum phase transitions using multi-color convolutional neural-network (CNN) in combination with quantum…

无序系统与神经网络 · 物理学 2019-03-27 Xiao-Yu Dong , Frank Pollmann , Xue-Feng Zhang

This paper reports a novel method for supervised machine learning based on the mathematical formalism that supports quantum mechanics. The method uses projective quantum measurement as a way of building a prediction function. Specifically,…

量子物理 · 物理学 2022-08-30 Fabio A. González , Vladimir Vargas-Calderón , Herbert Vinck-Posada

We study the performance of efficient quantum state tomography methods based on neural network quantum states using measured data from a two-photon experiment. Machine learning inspired variational methods provide a promising route towards…