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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 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

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

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

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…

机器学习 · 计算机科学 2024-11-07 Oliver Knitter , Dan Zhao , James Stokes , Martin Ganahl , Stefan Leichenauer , Shravan Veerapaneni

Neural-network quantum states have emerged as a powerful variational framework for quantum many-body systems, with recent progress often driven by massively parallel architectures such as transformers. Recurrent neural network quantum…

强关联电子 · 物理学 2026-05-14 Ejaaz Merali , Mohamed Hibat-Allah , Mohammad Kohandel , Richard T. Scalettar , Ehsan Khatami

Combining insights from machine learning and quantum Monte Carlo, the stochastic reconfiguration method with neural network Ansatz states is a promising new direction for high-precision ground state estimation of quantum many-body problems.…

量子物理 · 物理学 2020-10-14 Chae-Yeun Park , Michael J. Kastoryano

Strongly interacting quantum systems described by non-stoquastic Hamiltonians exhibit rich low-temperature physics. Yet, their study poses a formidable challenge, even for state-of-the-art numerical techniques. Here, we investigate…

计算物理 · 物理学 2021-06-18 Marin Bukov , Markus Schmitt , Maxime Dupont

Neural quantum states (NQS) are a promising ansatz for solving many-body quantum problems due to their inherent expressiveness. Yet, this expressiveness can only be harnessed efficiently for treating identical particles if the suitable…

化学物理 · 物理学 2026-04-24 Lexin Ding , Markus Reiher

We introduce an efficient approach to implement neural network quantum states (NNQS) as trial wavefunctions in auxiliary-field quantum Monte Carlo (AFQMC). NNQS are a recently developed class of variational ans\"atze capable of flexibly…

化学物理 · 物理学 2025-10-07 Zhi-Yu Xiao , Bowen Kan , Huan Ma , Bowen Zhao , Honghui Shang

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:…

化学物理 · 物理学 2025-06-18 An-Jun Liu , Bryan K. Clark

Neural Quantum States (NQS) are a class of variational wave functions parametrized by neural networks (NNs) to study quantum many-body systems. In this work, we propose \texttt{SineKAN}, a NQS \textit{ansatz} based on Kolmogorov-Arnold…

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 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

In this work, we use neural quantum states (NQS) to describe the high-dimensional wave functions of electron-phonon coupled systems. We demonstrate that NQS can accurately and systematically learn the underlying physics of such problems…

强关联电子 · 物理学 2025-01-30 Ankit Mahajan , Paul J. Robinson , Joonho Lee , David R. Reichman

Simulating quantum algorithms with classical resources generally requires exponential resources. However, heuristic classical approaches are often very efficient in approximately simulating special circuit structures, for example with…

量子物理 · 物理学 2018-08-17 Bjarni Jónsson , Bela Bauer , Giuseppe Carleo

Neural quantum states are a promising framework for simulating many-body quantum dynamics, as they can represent states with volume-law entanglement. As time evolves, the neural network parameters are typically optimized at discrete time…

量子物理 · 物理学 2026-02-04 Dingzu Wang , Wenxuan Zhang , Xiansong Xu , Dario Poletti

Foundation models are highly versatile neural-network architectures capable of processing different data types, such as text and images, and generalizing across various tasks like classification and generation. Inspired by this success, we…

Passetti et al. [Physical Review Letters 131, 036502 (2023)] recently assessed the potential of neural quantum states (NQS) in learning ground-state wave functions with volume-law entanglement scaling. They focused on NQS using feedforward…

量子物理 · 物理学 2025-03-14 Zakari Denis , Alessandro Sinibaldi , Giuseppe Carleo

The optimal use of quantum and classical computational techniques together is important to address problems that cannot be easily solved by quantum computations alone. This is the case of the ground state problem for quantum many-body…

量子物理 · 物理学 2022-05-03 Patrick Huembeli , Giuseppe Carleo , Antonio Mezzacapo