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We show how to optimally reduce the local Hilbert basis of lattice quantum many-body (QMB) Hamiltonians. The basis truncation exploits the most relevant eigenvalues of the estimated single-site reduced density matrix (RDM). It is accurate…

强关联电子 · 物理学 2025-09-23 Peter Majcen , Giovanni Cataldi , Pietro Silvi , Simone Montangero

We present a new approach to compute low lying eigenvalues and corresponding eigenvectors for strongly correlated many-body systems. The method was inspired by the so-called Automated Multilevel Sub-structuring Method (AMLS). Originally, it…

计算物理 · 物理学 2010-04-28 Ralf Gamillscheg , Gundolf Haase , Wolfgang von der Linden

With the capability to find the best fit to arbitrarily complicated data patterns, machine-learning (ML) enhanced quantum state tomography (QST) has demonstrated its advantages in extracting complete information about the quantum states.…

量子物理 · 物理学 2022-03-31 Hsien-Yi Hsieh , Jingyu Ning , Yi-Ru Chen , Hsun-Chung Wu , Hua Li Chen , Chien-Ming Wu , Ray-Kuang Lee

Quantum state tomography (QST) is essential for validating quantum devices but suffers from exponential scaling in system size. Neural-network quantum states, such as Restricted Boltzmann Machines (RBMs), can efficiently parameterize…

量子物理 · 物理学 2026-01-30 Simon Tonner , Viet T. Tran , Richard Kueng

Quantitative Susceptibility Mapping (QSM) estimates tissue magnetic susceptibility distributions from Magnetic Resonance (MR) phase measurements by solving an ill-posed dipole inversion problem. Conventional single orientation QSM methods…

图像与视频处理 · 电气工程与系统科学 2020-08-13 Kuo-Wei Lai , Manisha Aggarwal , Peter van Zijl , Xu Li , Jeremias Sulam

The use of qubits as sensitive magnetometers has been studied theoretically and recent demonstrated experimentally. In this paper we propose a generalisation of this concept, where a scanning two-state quantum system is used to probe the…

量子物理 · 物理学 2009-12-10 J. H. Cole , L. C. L. Hollenberg

The rapid growth of research in exploiting machine learning to predict chaotic systems has revived a recent interest in Hamiltonian Neural Networks (HNNs) with physical constraints defined by the Hamilton's equations of motion, which…

机器学习 · 计算机科学 2021-06-02 Chen-Di Han , Bryan Glaz , Mulugeta Haile , Ying-Cheng Lai

The eigenstates of many-body localized (MBL) Hamiltonians exhibit low entanglement. We adapt the highly successful density-matrix renormalization group method, which is usually used to find modestly entangled ground states of local…

无序系统与神经网络 · 物理学 2016-08-23 Vedika Khemani , Frank Pollmann , S. L. Sondhi

Magnetic resonance imaging (MRI) offers superior soft tissue contrast and is widely used in biomedicine. However, conventional MRI is not quantitative, which presents a bottleneck in image analysis and digital healthcare. Typically,…

What happens when a black box (neural network) meets a black box (simulation of the Universe)? Recent work has shown that convolutional neural networks (CNNs) can infer cosmological parameters from the matter density field in the presence…

宇宙学与河外天体物理 · 物理学 2026-02-10 Arnab Lahiry , Adrian E. Bayer , Francisco Villaescusa-Navarro

Accurately modeling quantum dissipative dynamics remains challenging due to environmental complexity and non-Markovian memory effects. Although machine learning provides a promising alternative to conventional simulation techniques, most…

化学物理 · 物理学 2026-03-18 Muhammad Atif , Arif Ullah , Ming Yang

Radar sensors are crucial for environment perception of driver assistance systems as well as autonomous vehicles. Key performance factors are weather resistance and the possibility to directly measure velocity. With a rising number of radar…

信号处理 · 电气工程与系统科学 2020-12-02 Johanna Rock , Wolfgang Roth , Paul Meissner , Franz Pernkopf

Non-Hermitian (NH) quantum systems have emerged as a powerful framework for describing open quantum systems, non-equilibrium dynamics, and engineered quantum optical materials. However, solving the ground-state properties of NH systems is…

量子物理 · 物理学 2025-12-17 Lavoisier Wah , Remmy Zen , Flore K. Kunst

A state-of-the-art method that combines a quantum computational algorithm and machine learning, so-called quantum machine learning, can be a powerful approach for solving quantum many-body problems. However, the research scope in the field…

计算物理 · 物理学 2023-04-04 Shu Kanno , Tomofumi Tada

A machine learning technique to obtain the ground states of quantum few-body systems using artificial neural networks is developed. Bosons in continuous space are considered and a neural network is optimized in such a way that when particle…

无序系统与神经网络 · 物理学 2018-08-01 Hiroki Saito

We use a meta-learning neural-network approach to analyse data from a measured quantum state. Once our neural network has been trained it can be used to efficiently sample measurements of the state in measurement bases not contained in the…

量子物理 · 物理学 2021-07-01 Alistair W. R. Smith , Johnnie Gray , M. S. Kim

We present a deep machine learning algorithm to extract crystal field (CF) Stevens parameters from thermodynamic data of rare-earth magnetic materials. The algorithm employs a two-dimensional convolutional neural network (CNN) that is…

强关联电子 · 物理学 2021-07-14 Noah F. Berthusen , Yuriy Sizyuk , Mathias S. Scheurer , Peter P. Orth

We propose a high efficiency tomographic scheme to reconstruct an unknown quantum state of the qubits by using a series of quantum nondemolition (QND) measurements. The proposed QND measurements of the qubits are implemented by probing the…

量子物理 · 物理学 2015-05-20 J. S. Huang , L. F. Wei , C. H. Oh

Many-body localization, the persistence against electron-electron interactions of the localization of states with non-zero excitation energy density, poses a challenge to current methods of theoretical and numerical analysis. Numerical…

无序系统与神经网络 · 物理学 2014-11-06 Bela Bauer , Chetan Nayak

Quantum matter, the research field studying phases of matter whose properties are intrinsically quantum mechanical, draws from areas as diverse as hard condensed matter physics, materials science, statistical mechanics, quantum information,…

计算物理 · 物理学 2020-08-21 Juan Carrasquilla