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Neural quantum states have established themselves as a powerful and versatile family of ansatzes for variational Monte Carlo simulations of quantum many-body systems. Of particular prominence are autoregressive neural quantum states (ANQS),…

量子物理 · 物理学 2023-10-09 Aleksei Malyshev , Juan Miguel Arrazola , A. I. Lvovsky

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

Neural quantum states (NQS) have emerged as a powerful ansatz for variational quantum Monte Carlo studies of strongly-correlated systems. Here, we apply recurrent neural networks (RNNs) and autoregressive transformer neural networks to the…

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

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

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-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

Neural quantum states (NQSs) are powerful variational ans\"atze capable of representing highly entangled quantum many-body wavefunctions. While the average entanglement properties of ensembles of restricted Boltzmann machines are well…

量子物理 · 物理学 2026-02-11 Andrew Jreissaty , Hang Zhang , Jairo C. Quijano , Juan Carrasquilla , Roeland Wiersema

The complexity of many-body quantum wave functions is a central aspect of several fields of physics and chemistry where non-perturbative interactions are prominent. Artificial neural networks (ANNs) have proven to be a flexible tool to…

核理论 · 物理学 2021-07-14 Corey Adams , Giuseppe Carleo , Alessandro Lovato , Noemi Rocco

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…

量子物理 · 物理学 2024-08-15 Aleksei Malyshev , Markus Schmitt , A. I. Lvovsky

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

Quantum many-body physics simulation has important impacts on understanding fundamental science and has applications to quantum materials design and quantum technology. However, due to the exponentially growing size of the Hilbert space…

量子物理 · 物理学 2024-04-18 Zhuo Chen , Laker Newhouse , Eddie Chen , Di Luo , Marin Soljačić

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…

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

Accurate ground-state energy calculations remain a central challenge in quantum chemistry due to the exponential scaling of the many-body Hilbert space. Variational Monte Carlo and variational quantum eigensolvers offer promising ansatz…

量子物理 · 物理学 2026-03-27 Shane Thompson , Daniel Gunlycke

Neural networks (NNs) have great potential in solving the ground state of various many-body problems. However, several key challenges remain to be overcome before NNs can tackle problems and system sizes inaccessible with more established…

强关联电子 · 物理学 2026-02-24 Khachatur Nazaryan , Filippo Gaggioli , Yi Teng , Liang Fu

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…

A core technology that has emerged from the artificial intelligence revolution is the recurrent neural network (RNN). Its unique sequence-based architecture provides a tractable likelihood estimate with stable training paradigms, a…

无序系统与神经网络 · 物理学 2020-07-01 Mohamed Hibat-Allah , Martin Ganahl , Lauren E. Hayward , Roger G. Melko , Juan Carrasquilla

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

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
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