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Neural-network quantum states (NQS) have become a powerful tool in many-body physics. Of the numerous possible architectures in which neural-networks can encode amplitudes of quantum states the simplicity of the Restricted Boltzmann Machine…

量子物理 · 物理学 2021-09-15 Michael Y. Pei , Stephen R. Clark

Neural-Network Quantum State (NQS) has attracted significant interests as a powerful wave-function ansatz to model quantum phenomena. In particular, a variant of NQS based on the restricted Boltzmann machine (RBM) has been adapted to model…

量子物理 · 物理学 2019-12-09 Chang-yu Hsieh , Qiming Sun , Shengyu Zhang , Chee Kong Lee

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

Restricted Boltzmann machines (RBMs) are a class of neural networks that have been successfully employed as a variational ansatz for quantum many-body wave functions. Here, we develop an analytic method to study quantum many-body spin…

量子物理 · 物理学 2022-10-06 Xiao-Qi Sun , Tamra Nebabu , Xizhi Han , Michael O. Flynn , Xiao-Liang Qi

The task of classifying the entanglement properties of a multipartite quantum state poses a remarkable challenge due to the exponentially increasing number of ways in which quantum systems can share quantum correlations. Tackling such…

量子物理 · 物理学 2020-06-24 Cillian Harney , Stefano Pirandola , Alessandro Ferraro , Mauro Paternostro

Neural network quantum states (NQS) have been widely applied to spin-1/2 systems where they have proven to be highly effective. The application to systems with larger on-site dimension, such as spin-1 or bosonic systems, has been explored…

量子物理 · 物理学 2021-07-22 Michael Y. Pei , Stephen R. Clark

Neural network quantum states (NQS) have emerged as a powerful and flexible framework for addressing quantum many-body problems. While successful for model Hamiltonians, their application to molecular systems remains challenging for several…

化学物理 · 物理学 2025-07-28 Zibo Wu , Bohan Zhang , Wei-Hai Fang , Zhendong Li

Neural quantum states (NQS) attract a lot of attention due to their potential to serve as a very expressive variational ansatz for quantum many-body systems. Here we study the main factors governing the applicability of NQS to frustrated…

无序系统与神经网络 · 物理学 2020-04-06 Tom Westerhout , Nikita Astrakhantsev , Konstantin S. Tikhonov , Mikhail Katsnelson , Andrey A. Bagrov

Quantum computing's promise lies in its intrinsic complexity, with entanglement initially heralded as its hallmark. However, the quest for quantum advantage extends beyond entanglement, encompassing the realm of nonstabilizer (magic)…

量子物理 · 物理学 2024-03-05 Antonio Francesco Mello , Guglielmo Lami , Mario Collura

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

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

Projected variational wavefunctions such as the Gutzwiller, many-body correlator and Jastrow ansatzes have provided crucial insight into the nature of superfluid-Mott insulator transition in the Bose Hubbard model (BHM) in two or more…

量子气体 · 物理学 2024-10-08 Michael Y. Pei , Stephen R. Clark

Due to their immense representative power, neural network quantum states (NQS) have gained significant interest in current research. In recent advances in the field of NQS, it has been demonstrated that this approach can compete with…

无序系统与神经网络 · 物理学 2024-10-21 Fabian Döschl , Felix A. Palm , Hannah Lange , Fabian Grusdt , Annabelle Bohrdt

Neural quantum states (NQS) have emerged as a powerful variational ansatz for representing quantum many-body wave functions. Their internal mechanisms, however, remain poorly understood. We investigate the role of correlations for NQS-like…

量子物理 · 物理学 2025-08-21 Fabian Döschl , Annabelle Bohrdt

Neural quantum state (NQS) ans\"atze have shown promise in variational Monte Carlo algorithms by their theoretical capability of representing any quantum state. However, the reason behind the practical improvement in their performance with…

量子物理 · 物理学 2025-03-11 Sidhartha Dash , Luca Gravina , Filippo Vicentini , Michel Ferrero , Antoine Georges

Recently, quantum-state representation using artificial neural networks has started to be recognized as a powerful tool. However, due to the black-box nature of machine learning, it is difficult to analyze what machine learns or why it is…

量子物理 · 物理学 2022-05-24 Yusuke Nomura

Restricted Boltzmann machines (RBMs) have demonstrated considerable success as variational quantum states; however, their representational power remains incompletely understood. In this work, we present an analytical proof that RBMs can…

量子物理 · 物理学 2025-05-29 Yuan-Hang Zhang , Zhian Jia , Yu-Chun Wu , Guang-Can Guo

Neural quantum states (NQS) provide a flexible and highly expressive parameterization of wave functions for strongly correlated problems in quantum chemistry. Despite rapid advances in network architectures, the evaluation of electronic…

化学物理 · 物理学 2026-02-16 Marco Julian Solanki , Lexin Ding , Markus Reiher

Quantum state tomography (QST) aiming at reconstructing the density matrix of a quantum state plays an important role in various emerging quantum technologies. Recognizing the challenges posed by imperfect measurement data, we develop a…

量子物理 · 物理学 2025-03-31 Hailan Ma , Daoyi Dong , Ian R. Petersen , Chang-Jiang Huang , Guo-Yong Xiang

Representation by neural networks, in particular by restricted Boltzmann machines (RBM), has provided a powerful computational tool to solve quantum many-body problems. An important open question is how to characterize which class of…

量子物理 · 物理学 2019-04-23 Sirui Lu , Xun Gao , L. -M. Duan
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