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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 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) 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…

In this study we employ a feed-forward artificial neural network (FFNN) architecture to perform tomography of quantum states and processes obtained from noisy experimental data. To evaluate the performance of the FFNN, we use a heavily…

量子物理 · 物理学 2024-11-05 Akshay Gaikwad , Omkar Bihani , Arvind , Kavita Dorai

We describe a class of neuralized fermionic tensor network states (NN-fTNS) that introduce non-linearity into fermionic tensor networks through configuration-dependent neural network transformations of the local tensors. The construction…

无序系统与神经网络 · 物理学 2026-05-22 Si-Jing Du , Ao Chen , Garnet Kin-Lic Chan

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

Simulating large, strongly interacting fermionic systems remains a major challenge for existing numerical methods. In this work, we introduce Gutzwiller projected hidden fermion determinant states (G-HFDS) to simulate the strongly…

强关联电子 · 物理学 2025-09-10 Hannah Lange , Annika Böhler , Christopher Roth , Annabelle Bohrdt

We compute the ground-state properties of fully polarized, trapped, one-dimensional fermionic systems interacting through a gaussian potential. We use an antisymmetric artificial neural network, or neural quantum state, as an ansatz for the…

核理论 · 物理学 2024-02-09 J. W. T. Keeble , M. Drissi , A. Rojo-Francàs , B. Juliá-Díaz , A. Rios

Machine-learning-based variational Monte Carlo simulations are a promising approach for targeting quantum many-body ground states, especially in two dimensions and in cases where the ground state is known to have a non-trivial sign…

In this paper, we demonstrate the expressibility of artificial neural networks (ANNs) in quantum many-body physics by showing that a feed-forward neural network with a small number of hidden layers can be trained to approximate with high…

强关联电子 · 物理学 2018-01-17 Zi Cai , Jinguo Liu

Neural network quantum states emerge as a promising tool for solving quantum many-body problems. However, its successes and limitations are still not well-understood in particular for Fermions with complex sign structures. Based on our…

量子物理 · 物理学 2025-11-10 Zhendong Li , Tong Zhao , Bohan Zhang

Neural-network quantum states have recently emerged as a powerful method for solving quantum many-body problems, with notable successes in lattice systems. Here, we extend this approach to strongly interacting few-body problems in…

量子气体 · 物理学 2026-04-07 Sora Yokoi , Shimpei Endo , Hiroki Saito

Developing accurate numerical methods for strongly interacting fermions is crucial for improving our understanding of various quantum many-body phenomena, especially unconventional superconductivity. Recently, neural quantum states have…

强关联电子 · 物理学 2025-07-16 Ao Chen , Zhou-Quan Wan , Anirvan Sengupta , Antoine Georges , Christopher Roth

Neural-network quantum states have been successfully used to study a variety of lattice and continuous-space problems. Despite a great deal of general methodological developments, representing fermionic matter is however still early…

计算物理 · 物理学 2020-06-24 Kenny Choo , Antonio Mezzacapo , Giuseppe Carleo

Accurate simulations of the Hubbard model are crucial to understanding strongly correlated phenomena, where small energy differences between competing orders demand high numerical precision. In this work, Neural Quantum States are used to…

强关联电子 · 物理学 2025-10-14 Louis Sharma , Ahmedeo Shokry , Rajah Nutakki , Olivier Simard , Michel Ferrero , Filippo Vicentini

The strongly correlated fermions play a vital role in modern physics. For a given fermionic Hamiltonian system, the most widely used approach to explore the underlying physics is to study the wave function that incorporates Fermi-Dirac…

强关联电子 · 物理学 2026-04-08 Jian-Gang Kong , Zhi Yuan Xie

Non-Hermitian (NH) quantum systems have emerged as a powerful framework for describing open quantum systems, non-equilibrium dynamics, and engineered quantum optical materials. However, solving the ground-state properties of NH systems is…

量子物理 · 物理学 2025-12-17 Lavoisier Wah , Remmy Zen , Flore K. Kunst

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…

Neural Quantum States (NQS) are now among the most accurate methods for studying strongly correlated many-fermion systems, outperforming existing many-body approaches for large systems. However, NQS calculations remain extremely…

强关联电子 · 物理学 2026-04-29 Yuntian Gu , Zeyao Han , Wenrui Li , Zhiyu Xiao , Tao Xiang , Mingpu Qin , Liwei Wang , Dingshun Lv

We introduce an attention-based fermionic neural network (FNN) to variationally solve the problem of two-dimensional Coulomb electron gas in magnetic fields, a canonical platform for fractional quantum Hall (FQH) liquids, Wigner crystals…

强关联电子 · 物理学 2025-05-23 Yi Teng , David D. Dai , Liang Fu
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