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The advent of Neural-network Quantum States (NQS) has significantly advanced wave function ansatz research, sparking a resurgence in orbital space variational Monte Carlo (VMC) exploration. This work introduces three algorithmic…

Chemical Physics · Physics 2024-09-24 Xiang Li , Jia-Cheng Huang , Guang-Ze Zhang , Hao-En Li , Zhu-Ping Shen , Chen Zhao , Jun Li , Han-Shi Hu

Neural-network quantum states (NQS) employ artificial neural networks to encode many-body wave functions in second quantization through variational Monte Carlo (VMC). They have recently been applied to accurately describe electronic wave…

Chemical Physics · Physics 2023-11-27 Xiang Li , Jia-Cheng Huang , Guang-Ze Zhang , Hao-En Li , Chang-su Cao , Dingshun Lv , Han-Shi Hu

The ground state of second-quantized quantum chemistry Hamiltonians is key to determining molecular properties. Neural quantum states (NQS) offer flexible and expressive wavefunction ansatze for this task but face two main challenges:…

Chemical Physics · Physics 2025-06-18 An-Jun Liu , Bryan K. Clark

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…

Chemical Physics · Physics 2026-02-16 Marco Julian Solanki , Lexin Ding , Markus Reiher

Neural network quantum state (NNQS) has emerged as a promising candidate for quantum many-body problems, but its practical applications are often hindered by the high cost of sampling and local energy calculation. We develop a…

Quantum Physics · Physics 2023-11-02 Yangjun Wu , Chu Guo , Yi Fan , Pengyu Zhou , Honghui Shang

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…

Chemical Physics · Physics 2025-07-28 Zibo Wu , Bohan Zhang , Wei-Hai Fang , Zhendong Li

Owing to their great expressivity and versatility, neural networks have gained attention for simulating large two-dimensional quantum many-body systems. However, their expressivity comes with the cost of a challenging optimization due to…

Disordered Systems and Neural Networks · Physics 2025-03-26 Hannah Lange , Guillaume Bornet , Gabriel Emperauger , Cheng Chen , Thierry Lahaye , Stefan Kienle , Antoine Browaeys , Annabelle Bohrdt

Solving quantum many-body problems is one of the fundamental challenges in quantum chemistry. While neural network quantum states (NQS) have emerged as a promising computational tool, its training process incurs exponentially growing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-01 Hongtao Xu , Zibo Wu , Mingzhen Li , Weile Jia

Neural-network quantum states (NQS) are powerful neural-network ans\"atzes that have emerged as promising tools for studying quantum many-body physics through the lens of the variational principle. These architectures are known to be…

Disordered Systems and Neural Networks · Physics 2025-07-28 Jake McNaughton , Mohamed Hibat-Allah

We propose a hybrid variational framework that enhances Neural Quantum States (NQS) with a Normalising Flow-based sampler to improve the expressivity and trainability of quantum many-body wavefunctions. Our approach decouples the sampling…

Quantum Physics · Physics 2025-06-17 Vishal S. Ngairangbam , Michael Spannowsky , Timur Sypchenko

Neural quantum states (NQS) have gained prominence in variational quantum Monte Carlo methods in approximating ground-state wavefunctions. Despite their success, they face limitations in optimization, scalability, and expressivity in…

Quantum Physics · Physics 2025-01-22 Zongkang Zhang , Ying Li , Xiaosi Xu

Neural-network quantum states (NQS) offer a versatile and expressive alternative to traditional variational ans\"atze for simulating physical systems. Energy-based frameworks, like Hopfield networks and Restricted Boltzmann Machines,…

Quantum Physics · Physics 2024-12-18 Manas Sajjan , Vinit Singh , Sabre Kais

Recent progress in the design and optimization of neural-network quantum states (NQSs) has made them an effective method to investigate ground-state properties of quantum many-body systems. In contrast to the standard approach of training a…

Disordered Systems and Neural Networks · Physics 2024-12-18 Riccardo Rende , Sebastian Goldt , Federico Becca , Luciano Loris Viteritti

Neural-network quantum states (NQSs), variationally optimized by combining traditional methods and deep learning techniques, is a new way to find quantum many-body ground states and gradually becomes a competitor of traditional variational…

Strongly Correlated Electrons · Physics 2024-06-19 Jia-Qi Wang , Rong-Qiang He , Zhong-Yi Lu

We present proof-of-principle time-dependent neural quantum state (NQS) simulations to illustrate the ability of this approach to effectively capture key aspects of quantum dynamics in the continuum. NQS leverage the parameterization of the…

Quantum Physics · Physics 2025-09-30 Alejandro Romero-Ros , Javier Rozalén Sarmiento , Arnau Rios

As neural networks are known to efficiently represent classes of tensor-network states as well as volume-law-entangled states, identifying which properties determine the representational capabilities of neural quantum states (NQS) remains…

Nuclear Theory · Physics 2026-03-31 James W. T. Keeble , Alessandro Lovato , Caroline E. P. Robin

Due to the strong correlations present in quantum systems, classical machine learning algorithms like stochastic gradient descent are often insufficient for the training of neural network quantum states (NQSs). These difficulties can be…

Quantum Physics · Physics 2021-04-23 J. Thorben Frank , Michael J. Kastoryano

Neural-network quantum states (NQS) has emerged as a powerful application of quantum-inspired deep learning for variational Monte Carlo methods, offering a competitive alternative to existing techniques for identifying ground states of…

Machine Learning · Computer Science 2024-11-07 Oliver Knitter , Dan Zhao , James Stokes , Martin Ganahl , Stefan Leichenauer , Shravan Veerapaneni

Accurately simulating extended periodic systems is a central challenge in condensed matter physics. Neural quantum states (NQS) offer expressive wavefunctions for this task but face issues with scalability. In this work, we successfully…

Strongly Correlated Electrons · Physics 2026-03-17 An-Jun Liu , Bryan K. Clark

The field of neural quantum states has recently experienced a tremendous progress, making them a competitive tool of computational quantum many-body physics. However, their largest achievements to date mostly concern interacting spin…

Quantum Physics · Physics 2024-08-15 Aleksei Malyshev , Markus Schmitt , A. I. Lvovsky
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