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The determination of the ground state of quantum many-body systems via digital quantum computers rests upon the initialization of a sufficiently educated guess. This requirement becomes more stringent the greater the system. Preparing…

Quantum Physics · Physics 2021-06-30 Bruno Murta , Joaquín Fernández-Rossier

The Transformer architecture has become the state-of-art model for natural language processing tasks and, more recently, also for computer vision tasks, thus defining the Vision Transformer (ViT) architecture. The key feature is the ability…

Disordered Systems and Neural Networks · Physics 2023-06-13 Luciano Loris Viteritti , Riccardo Rende , Federico Becca

Fuelled by increasing computer power and algorithmic advances, machine learning techniques have become powerful tools for finding patterns in data. Since quantum systems produce counter-intuitive patterns believed not to be efficiently…

Quantum Physics · Physics 2018-05-14 Jacob Biamonte , Peter Wittek , Nicola Pancotti , Patrick Rebentrost , Nathan Wiebe , Seth Lloyd

Quantum computing is a promising new area of computing with quantum algorithms offering a potential speedup over classical algorithms if fault tolerant quantum computers can be built. One of the first applications of the classical computer…

Quantum Physics · Physics 2023-03-09 Michael McGuigan

In this note, variational Monte Carlo method based on neural quantum states for spin systems is reviewed. Using a neural network as the wave function allows for a more generalized expression of various types of interactions, including…

Strongly Correlated Electrons · Physics 2024-06-04 Yuntai Song

In this paper, we explore the possibility of deriving a quantum wavefunction for continuous-time recurrent neural network (CTRNN). We did this by first starting with a two-dimensional dynamical system that describes the classical dynamics…

Machine Learning · Computer Science 2021-02-19 Ikjyot Singh Kohli , Michael C. Haslam

In the last few years, deep learning has led to very good performance on a variety of problems, such as visual recognition, speech recognition and natural language processing. Among different types of deep neural networks, convolutional…

Computer Vision and Pattern Recognition · Computer Science 2017-10-20 Jiuxiang Gu , Zhenhua Wang , Jason Kuen , Lianyang Ma , Amir Shahroudy , Bing Shuai , Ting Liu , Xingxing Wang , Li Wang , Gang Wang , Jianfei Cai , Tsuhan Chen

Strongly correlated materials host a rich variety of exotic quantum phases but remain challenging to solve due to strong interactions. We introduce the Neural Transformer Backflow (NTB) framework, a powerful neural-network ansatz formulated…

Strongly Correlated Electrons · Physics 2025-10-20 Lixing Zhang , Di Luo

In the last two years, convolutional neural networks (CNNs) have achieved an impressive suite of results on standard recognition datasets and tasks. CNN-based features seem poised to quickly replace engineered representations, such as SIFT…

Computer Vision and Pattern Recognition · Computer Science 2014-09-23 Pulkit Agrawal , Ross Girshick , Jitendra Malik

Artificial neural networks have achieved great success in many fields ranging from image recognition to video understanding. However, its high requirements for computing and memory resources have limited further development on processing…

Quantum Physics · Physics 2021-08-05 Yanxuan Lü , Qing Gao , Jinhu Lü , Maciej Ogorzałek , Jin Zheng

Harmonic functions are abundant in nature, appearing in limiting cases of Maxwell's, Navier-Stokes equations, the heat and the wave equation. Consequently, there are many applications of harmonic functions from industrial process…

Full-waveform inversion problems are usually formulated as optimization problems, where the forward-wave propagation operator $f$ maps the subsurface velocity structures to seismic signals. The existing computational methods for solving…

Signal Processing · Electrical Eng. & Systems 2020-01-07 Yue Wu , Youzuo Lin

Tensor Network States are ans\"atze for the efficient description of quantum many-body systems. Their success for one dimensional problems, together with the fact that they do not suffer from the sign problem and can address the simulation…

High Energy Physics - Lattice · Physics 2022-09-21 Mari Carmen Bañuls , Krzysztof Cichy , J. Ignacio Cirac , Karl Jansen , Stefan Kühn

Accurate molecular force fields are of paramount importance for the efficient implementation of molecular dynamics techniques at large scales. In the last decade, machine learning methods have demonstrated impressive performances in…

Quantum Physics · Physics 2022-07-22 Oriel Kiss , Francesco Tacchino , Sofia Vallecorsa , Ivano Tavernelli

This work presents a quantum convolutional neural network (QCNN) for the classification of high energy physics events. The proposed model is tested using a simulated dataset from the Deep Underground Neutrino Experiment. The proposed…

Machine Learning · Computer Science 2020-12-23 Samuel Yen-Chi Chen , Tzu-Chieh Wei , Chao Zhang , Haiwang Yu , Shinjae Yoo

We introduce Neural Tensor Network States ($\nu$TNS), a variational many-body wave-function ansatz that integrates deep neural networks with tensor-network architectures. In the $\nu$TNS framework, a neural network serves as a disentangler…

Strongly Correlated Electrons · Physics 2026-03-17 Chaohui Fan , Bo Zhan , Yuntian Gu , Tong Liu , Yantao Wu , Mingpu Qin , Dingshun Lv , Tao Xiang

The latest generation of Convolutional Neural Networks (CNN) have achieved impressive results in challenging benchmarks on image recognition and object detection, significantly raising the interest of the community in these methods.…

Computer Vision and Pattern Recognition · Computer Science 2014-11-06 Ken Chatfield , Karen Simonyan , Andrea Vedaldi , Andrew Zisserman

The mathematical complexity and high dimensionality of neural networks slow both training and deployment, demanding heavy computational resources. This has driven the search for alternative architectures built from novel components,…

Applied Physics · Physics 2025-12-15 Jake McNaughton , A. H. Abbas , Ivan S. Maksymov

Over the past decade, deep learning research has been accelerated by increasingly powerful hardware, which facilitated rapid growth in the model complexity and the amount of data ingested. This is becoming unsustainable and therefore…

Machine Learning · Computer Science 2024-02-08 Damian Owerko , Charilaos I. Kanatsoulis , Alejandro Ribeiro

In this work, quantum transformers are designed and analysed in detail by extending the state-of-the-art classical transformer neural network architectures known to be very performant in natural language processing and image analysis.…