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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…

核理论 · 物理学 2026-03-31 James W. T. Keeble , Alessandro Lovato , Caroline E. P. Robin

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

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

Recent research has demonstrated the usefulness of neural networks as variational ansatz functions for quantum many-body states. However, high-dimensional sampling spaces and transient autocorrelations confront these approaches with a…

量子物理 · 物理学 2021-11-29 Robert Klassert , Andreas Baumbach , Mihai A. Petrovici , Martin Gärttner

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 quantum states (NQS) provide flexible and compact wavefunction parameterizations for numerical studies of quantum many-body physics. In particular, NQS aim to circumvent the exponential scaling of the Hilbert space by compressing…

无序系统与神经网络 · 物理学 2026-03-17 M. Schuyler Moss , Alev Orfi , Christopher Roth , Anirvan M. Sengupta , Antoine Georges , Dries Sels , Anna Dawid , Agnes Valenti

A naive classical representation of an n-qubit state requires specifying exponentially many amplitudes in the computational basis. Past works have demonstrated that classical neural networks can succinctly express these amplitudes for many…

量子物理 · 物理学 2024-10-31 Tai-Hsuan Yang , Mehdi Soleimanifar , Thiago Bergamaschi , John Preskill

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

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

We examine the usefulness of applying neural networks as a variational state ansatz for many-body quantum systems in the context of quantum information-processing tasks. In the neural network state ansatz, the complex amplitude function of…

量子物理 · 物理学 2020-02-06 Johannes Bausch , Felix Leditzky

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

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

Simulating quantum many-body dynamics on classical computers is a challenging problem due to the exponential growth of the Hilbert space. Artificial neural networks have recently been introduced as a new tool to approximate quantum-many…

无序系统与神经网络 · 物理学 2022-05-25 Sheng-Hsuan Lin , Frank Pollmann

Neural networks are a promising tool for simulating quantum many body systems. Recently, it has been shown that neural network-based models describe quantum many body systems more accurately when they are constrained to have the correct…

量子物理 · 物理学 2021-06-01 Christopher Roth , Allan H. MacDonald

Neural Quantum States (NQS) have demonstrated significant potential in approximating ground states of many-body quantum systems, though their performance can be inconsistent across different models. This study investigates the performance…

量子物理 · 物理学 2025-01-15 Eimantas Ledinauskas , Egidijus Anisimovas

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 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

Quantum state tomography (QST) aiming at reconstructing the density matrix of a quantum state plays an important role in various emerging quantum technologies. Recognizing the challenges posed by imperfect measurement data, we develop a…

量子物理 · 物理学 2025-03-31 Hailan Ma , Daoyi Dong , Ian R. Petersen , Chang-Jiang Huang , Guo-Yong Xiang

Near-term quantum devices generally suffer from shallow circuit depth and hence limited expressivity due to noise and decoherence. To address this, we propose tensor-network-assisted parametrized quantum circuits, which concatenate a…

量子物理 · 物理学 2023-12-01 Junxiang Huang , Wenhao He , Yukun Zhang , Yusen Wu , Bujiao Wu , Xiao Yuan

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
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