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The challenge of quantum many-body problems comes from the difficulty to represent large-scale quantum states, which in general requires an exponentially large number of parameters. Recently, a connection has been made between quantum…

无序系统与神经网络 · 物理学 2017-11-01 Xun Gao , Lu-Ming Duan

Simulating quantum many-body dynamics on classical computers is a challenging problem due to the exponential growth of the Hilbert space. Artificial neural networks have recently been introduced as a new tool to approximate quantum-many…

无序系统与神经网络 · 物理学 2022-05-25 Sheng-Hsuan Lin , Frank Pollmann

Analyzing quantum many-body problems and elucidating the entangled structure of quantum states is a significant challenge common to a wide range of fields. Recently, a novel approach using machine learning was introduced to address this…

强关联电子 · 物理学 2023-11-15 Yusuke Nomura

A long-standing goal of nuclear theory is to explain how the structure and dynamics of atomic nuclei and neutron-star matter emerge from the underlying interactions among protons and neutrons. Achieving this goal requires solving the…

The challenge posed by the many-body problem in quantum physics originates from the difficulty of describing the non-trivial correlations encoded in the exponential complexity of the many-body wave function. Here we demonstrate that…

无序系统与神经网络 · 物理学 2017-02-13 Giuseppe Carleo , Matthias Troyer

Machine learning, one of today's most rapidly growing interdisciplinary fields, promises an unprecedented perspective for solving intricate quantum many-body problems. Understanding the physical aspects of the representative artificial…

无序系统与神经网络 · 物理学 2017-05-12 Dong-Ling Deng , Xiaopeng Li , S. Das Sarma

Preparing quantum many-body states on classical or quantum devices is a very challenging task that requires accounting for exponentially large Hilbert spaces. Although this complexity can be managed with exponential ans\"atze (such as in…

量子物理 · 物理学 2024-11-13 Weillei Zeng , Jiaji Zhang , Lipeng Chen , Carlos L. Benavides-Riveros

Due to the exponential growth of the Hilbert space dimension with system size, the simulation of quantum many-body systems has remained a persistent challenge until today. Here, we review a relatively new class of variational states for the…

无序系统与神经网络 · 物理学 2024-07-29 Hannah Lange , Anka Van de Walle , Atiye Abedinnia , Annabelle Bohrdt

In quantum many-body problems, one of the main difficulties comes from the description of non-negligible interactions which require, at least in principle, an exponential amount of information. Recently, in the context of spin glasses and…

计算物理 · 物理学 2019-02-25 Jean Michel Sellier

The so-called contemporary AI revolution has reached every corner of the social, human and natural sciences -- physics included. In the context of quantum many-body physics, its intersection with machine learning has configured a…

量子物理 · 物理学 2022-04-28 David R. Vivas , Javier Madroñero , Victor Bucheli , Luis O. Gómez , John H. Reina

We conduct experimental simulations of many body quantum systems using a \emph{hybrid} classical-quantum algorithm. In our setup, the wave function of the transverse field quantum Ising model is represented by a restricted Boltzmann…

量子物理 · 物理学 2018-12-05 Bartłomiej Gardas , Marek M. Rams , Jacek Dziarmaga

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

Finding the precise location of quantum critical points is of particular importance to characterise quantum many-body systems at zero temperature. However, quantum many-body systems are notoriously hard to study because the dimension of…

Neural-network state representations of quantum many-body systems are attracting great attention and more rigorous quantitative analysis about their expressibility and complexity is warranted. Our analysis of the restricted Boltzmann…

量子物理 · 物理学 2024-05-24 Ruizhi Pan , Charles W. Clark

Neural-Network Quantum States have been recently introduced as an Ansatz for describing the wave function of quantum many-body systems. We show that there are strong connections between Neural-Network Quantum States in the form of…

量子物理 · 物理学 2018-03-08 Ivan Glasser , Nicola Pancotti , Moritz August , Ivan D. Rodriguez , J. Ignacio Cirac

The classical simulation of quantum systems typically requires exponential resources. Recently, the introduction of a machine learning-based wavefunction ansatz has led to the ability to solve the quantum many-body problem in regimes that…

无序系统与神经网络 · 物理学 2019-10-24 Joseph Gomes , Keri A. McKiernan , Peter Eastman , Vijay S. Pande

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

Solving ground states of quantum many-body systems has been a long-standing problem in condensed matter physics. Here, we propose a new unsupervised machine learning algorithm to find the ground state of a general quantum many-body system…

无序系统与神经网络 · 物理学 2019-06-27 Jiaxin Wu , Wenjuan Zhang

In experimentally realistic situations, quantum systems are never perfectly isolated and the coupling to their environment needs to be taken into account. Often, the effect of the environment can be well approximated by a Markovian master…

量子物理 · 物理学 2019-07-03 Michael J. Hartmann , Giuseppe Carleo

It was recently proposed to leverage the representational power of artificial neural networks, in particular Restricted Boltzmann Machines, in order to model complex quantum states of many-body systems [Science, 355(6325), 2017]. States…

量子物理 · 物理学 2019-07-04 Nahuel Freitas , Giovanna Morigi , Vedran Dunjko
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