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We demonstrate quantum many-body state reconstruction from experimental data generated by a programmable quantum simulator, by means of a neural network model incorporating known experimental errors. Specifically, we extract restricted…

Quantum machine learning (QML) shows promise for analyzing quantum data. A notable example is the use of quantum convolutional neural networks (QCNNs), implemented as specific types of quantum circuits, to recognize phases of matter. In…

Quantum Physics · Physics 2025-01-07 Chukwudubem Umeano , Annie E. Paine , Vincent E. Elfving , Oleksandr Kyriienko

In recent years, neural quantum states have emerged as a powerful variational approach, achieving state-of-the-art accuracy when representing the ground-state wave function of a great variety of quantum many-body systems, including spin…

Quantum Physics · Physics 2025-06-18 Zakari Denis , Giuseppe Carleo

Batch Normalization (BN) has proven to be an effective algorithm for deep neural network training by normalizing the input to each neuron and reducing the internal covariate shift. The space of weight vectors in the BN layer can be…

Machine Learning · Computer Science 2017-11-01 Minhyung Cho , Jaehyung Lee

The challenge posed by the many-body problem in quantum physics originates from the difficulty of describing the nontrivial correlations encoded in the many-body wave functions with high complexity. Quantum neural network provides a…

Quantum Physics · Physics 2020-09-01 Yusen Wu , Chunyan Wei , Sujuan Qin , Qiaoyan Wen , Fei Gao

In recent years, with the development of quantum machine learning, quantum neural networks (QNNs) have gained increasing attention in the field of natural language processing (NLP) and have achieved a series of promising results. However,…

Quantum Physics · Physics 2024-05-24 Yixiong Chen , Weichuan Fang

In this paper, we present a Neuron Abandoning Attention Flow (NAFlow) method to address the open problem of visually explaining the attention evolution dynamics inside CNNs when making their classification decisions. A novel cascading…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Yi Liao , Yongsheng Gao , Weichuan Zhang

The eigenvalue problem of quantum many-body systems is a fundamental and challenging subject in condensed matter physics, since the dimension of the Hilbert space (and hence the required computational memory and time) grows exponentially as…

Disordered Systems and Neural Networks · Physics 2021-05-12 Chen-Yu Liu , Daw-Wei Wang

Neural Quantum States (NQS) use neural networks to represent wavefunctions of quantum many-body systems, but their performance depends on the choice of basis, yet the underlying mechanism remains poorly understood. We use a fully solvable…

This article studies (multilayer perceptron) neural networks with an emphasis on the transformations involved --- both forward and backward --- in order to develop a semantical/logical perspective that is in line with standard program…

Neural and Evolutionary Computing · Computer Science 2018-03-28 Bart Jacobs , David Sprunger

Binary Neural Network (BNN) converts full-precision weights and activations into their extreme 1-bit counterparts, making it particularly suitable for deployment on lightweight mobile devices. While binary neural networks are typically…

Machine Learning · Computer Science 2025-01-08 Jun Chen , Jingyang Xiang , Tianxin Huang , Xiangrui Zhao , Yong Liu

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…

Disordered Systems and Neural Networks · Physics 2025-07-28 Jake McNaughton , Mohamed Hibat-Allah

Variational Monte Carlo simulations have been crucial for understanding quantum many-body systems, especially when the Hamiltonian is frustrated and the ground-state wavefunction has a non-trivial sign structure. In this paper, we use…

Strongly Correlated Electrons · Physics 2025-10-14 M. Schuyler Moss , Roeland Wiersema , Mohamed Hibat-Allah , Juan Carrasquilla , Roger G. Melko

Deep quantum neural networks may provide a promising way to achieve quantum learning advantage with noisy intermediate scale quantum devices. Here, we use deep quantum feedforward neural networks capable of universal quantum computation to…

Quantum Physics · Physics 2020-08-14 Zidu Liu , L. -M. Duan , Dong-Ling Deng

A way is presented to design quantum wave functions that exhibit backflow, namely negative probability current despite having a strictly positive spectrum of momentum. These wave functions are derived from rational complex functions which…

Quantum Physics · Physics 2023-08-21 Ioannis Chremmos

We propose a simple recursive algorithm that allows the computation of the first- and second-order derivatives with respect to the inputs of an arbitrary deep feed forward neural network (DFNN). The algorithm naturally incorporates the…

Computational Physics · Physics 2021-11-16 Simone Rodini

We conducted quantum simulations of strongly correlated systems using the quantum flow (QFlow) approach, which enables sampling large sub-spaces of the Hilbert space through coupled eigenvalue problems in reduced dimensionality active…

Quantum Physics · Physics 2023-08-09 Karol Kowalski , Nicholas P. Bauman

Quantum computing promises to provide machine learning with computational advantages. However, noisy intermediate-scale quantum (NISQ) devices pose engineering challenges to realizing quantum machine learning (QML) advantages. Recently, a…

Quantum Physics · Physics 2022-07-22 Rodrigo Araiza Bravo , Khadijeh Najafi , Xun Gao , Susanne F. Yelin

Neural networks have shown to be a powerful tool to represent the ground state of quantum many-body systems, including fermionic systems. However, efficiently integrating lattice symmetries into neural representations remains a significant…

Strongly Correlated Electrons · Physics 2025-02-03 Imelda Romero , Jannes Nys , Giuseppe Carleo

Deep neural quantum states have recently achieved remarkable performance in solving challenging quantum many-body problems. While transformer networks appear particularly promising due to their success in computer science, we show that…

Disordered Systems and Neural Networks · Physics 2025-03-14 Ao Chen , Vighnesh Dattatraya Naik , Markus Heyl