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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…

量子物理 · 物理学 2025-01-22 Zongkang Zhang , Ying Li , Xiaosi Xu

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…

无序系统与神经网络 · 物理学 2024-12-18 Riccardo Rende , Sebastian Goldt , Federico Becca , Luciano Loris Viteritti

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…

量子物理 · 物理学 2023-11-02 Yangjun Wu , Chu Guo , Yi Fan , Pengyu Zhou , Honghui Shang

The representation of a quantum wave function as a neural network quantum state (NQS) provides a powerful variational ansatz for finding the ground states of many-body quantum systems. Nevertheless, due to the complex variational landscape,…

量子物理 · 物理学 2023-12-06 Eimantas Ledinauskas , Egidijus Anisimovas

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…

无序系统与神经网络 · 物理学 2025-07-28 Jake McNaughton , Mohamed Hibat-Allah

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

Tensor network theory and quantum simulation are respectively the key classical and quantum computing methods in understanding quantum many-body physics. Here, we introduce the framework of hybrid tensor networks with building blocks…

量子物理 · 物理学 2021-09-02 Xiao Yuan , Jinzhao Sun , Junyu Liu , Qi Zhao , You Zhou

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

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…

量子物理 · 物理学 2025-06-17 Vishal S. Ngairangbam , Michael Spannowsky , Timur Sypchenko

The rapid development of neural quantum states (NQS) has established it as a promising framework for studying quantum many-body systems. In this work, by leveraging the cutting-edge transformer-based architectures and developing highly…

强关联电子 · 物理学 2025-07-11 Yuntian Gu , Wenrui Li , Heng Lin , Bo Zhan , Ruichen Li , Yifei Huang , Di He , Yantao Wu , Tao Xiang , Mingpu Qin , Liwei Wang , Dingshun Lv

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…

分布式、并行与集群计算 · 计算机科学 2025-07-01 Hongtao Xu , Zibo Wu , Mingzhen Li , Weile Jia

Inspired by the advancements in large language models based on transformers, we introduce the transformer quantum state (TQS): a versatile machine learning model for quantum many-body problems. In sharp contrast to Hamiltonian/task specific…

量子物理 · 物理学 2023-03-08 Yuan-Hang Zhang , Massimiliano Di Ventra

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…

强关联电子 · 物理学 2024-06-19 Jia-Qi Wang , Rong-Qiang He , Zhong-Yi Lu

Simulating the dynamics of many-body quantum systems is a significant challenge, especially in higher dimensions where entanglement grows rapidly. Neural quantum states (NQS) offer a promising tool for representing quantum wavefunctions,…

量子物理 · 物理学 2024-12-17 Anka Van de Walle , Markus Schmitt , Annabelle Bohrdt

Neural quantum states are a new family of variational ans\"atze for quantum-many body wave functions with advantageous properties in the notoriously challenging case of two spatial dimensions. Since their introduction a wide variety of…

强关联电子 · 物理学 2023-05-24 Moritz Reh , Markus Schmitt , Martin Gärttner

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,…

量子物理 · 物理学 2024-12-18 Manas Sajjan , Vinit Singh , Sabre Kais

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

We present a deterministic optimization framework for Neural Network Quantum States (NQS) designed to bypass the sampling variance and slow mixing issues inherent in stochastic optimization. By projecting a neural backflow ansatz onto…

化学物理 · 物理学 2026-05-12 Zheng Che

Computing the ground state of interacting quantum matter is a long-standing challenge, especially for complex two-dimensional systems. Recent developments have highlighted the potential of neural quantum states to solve the quantum…

无序系统与神经网络 · 物理学 2025-07-03 Ao Chen , Markus Heyl

Quantum state reconstruction using Neural Quantum States has been proposed as a viable tool to reduce quantum shot complexity in practical applications, and its advantage over competing techniques has been shown in numerical experiments…

量子物理 · 物理学 2024-05-29 Haimeng Zhao , Giuseppe Carleo , Filippo Vicentini
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