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There has been growing excitement over the possibility of employing artificial neural networks (ANNs) to gain new theoretical insight into the physics of quantum many-body problems. ``Interpretability'' remains a concern: can we understand…

无序系统与神经网络 · 物理学 2020-12-08 Yi Zhang , Paul Ginsparg , Eun-Ah Kim

Foundation models are highly versatile neural-network architectures capable of processing different data types, such as text and images, and generalizing across various tasks like classification and generation. Inspired by this success, we…

Implicit neural representations have shown potential in various applications. However, accurately reconstructing the image or providing clear details via image super-resolution remains challenging. This paper introduces Quantum Fourier…

量子物理 · 物理学 2025-04-29 Hongni Jin , Gurinder Singh , Kenneth M. Merz

Artificial neural networks are the heart of machine learning algorithms and artificial intelligence protocols. Historically, the simplest implementation of an artificial neuron traces back to the classical Rosenblatt's `perceptron', but its…

量子物理 · 物理学 2019-07-04 Francesco Tacchino , Chiara Macchiavello , Dario Gerace , Daniele Bajoni

We investigate the ground state properties of quantum skyrmions in a ferromagnet using variational Monte Carlo with the neural network quantum state as variational ansatz. We study the ground states of a two-dimensional quantum Heisenberg…

介观与纳米尺度物理 · 物理学 2023-09-21 Ashish Joshi , Robert Peters , Thore Posske

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…

量子物理 · 物理学 2020-08-14 Zidu Liu , L. -M. Duan , Dong-Ling Deng

Utilizing quantum computers to deploy artificial neural networks (ANNs) will bring the potential of significant advancements in both speed and scale. In this paper, we propose a kind of quantum spike neural networks (SNNs) as well as…

量子物理 · 物理学 2020-12-03 Yanhu Chen , Hongxiang Guo , Cen Wang , Xiong Gao , Jian Wu

We propose a neural-network variational quantum algorithm to simulate the time evolution of quantum many-body systems. Based on a modified restricted Boltzmann machine (RBM) wavefunction ansatz, the proposed algorithm can be efficiently…

量子物理 · 物理学 2021-05-12 Chee-Kong Lee , Pranay Patil , Shengyu Zhang , Chang-Yu Hsieh

We introduce a family of neural quantum states for the simulation of strongly interacting systems in the presence of spatial periodicity. Our variational state is parameterized in terms of a permutationally-invariant part described by the…

量子物理 · 物理学 2022-05-31 Gabriel Pescia , Jiequn Han , Alessandro Lovato , Jianfeng Lu , Giuseppe Carleo

We use neural networks to represent the characteristic function of many-body Gaussian states in the quantum phase space. By a pullback mechanism, we model transformations due to unitary operators as linear layers that can be cascaded to…

量子物理 · 物理学 2021-10-19 Claudio Conti

We report on a gate-based variational quantum classifier implemented with single photons and probabilistic gates, to emulate the standard quantum circuit model framework. We evaluate the expressive power of two deployable quantum neural…

量子物理 · 物理学 2026-05-27 Solomon McKiernan , Luca Sapienza

Artificial neural networks (ANNs) have evolved from the 1940s primitive models of brain function to become tools for artificial intelligence. They comprise many units, artificial neurons, interlinked through weighted connections. ANNs are…

信号处理 · 电气工程与系统科学 2024-04-16 Artur Matysiak , Volker Roeber , Henrik Kalisch , Reinhard König , Patrick J. C. May

Whilst the partial differential equations that govern the dynamics of our world have been studied in great depth for centuries, solving them for complex, high-dimensional conditions and domains still presents an incredibly large…

机器学习 · 计算机科学 2023-03-07 Edward Small

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

The famous, yet unsolved, Fermi-Hubbard model for strongly-correlated electronic systems is a prominent target for quantum computers. However, accurately representing the Fermi-Hubbard ground state for large instances may be beyond the…

Recent progress in artificial intelligence (AI) has been driven by insights from physics and neuroscience, particularly through the development of artificial neural networks (ANNs) capable of complex cognitive tasks such as vision and…

神经元与认知 · 定量生物学 2025-11-04 Alejandro Rodriguez-Garcia , Anindya Ghosh , Jie Mei , Srikanth Ramaswamy

We show that artificial neural networks with rectifier units as activation functions can exactly represent the piecewise affine function that results from the formulation of model predictive control of linear time-invariant systems. The…

最优化与控制 · 数学 2021-01-01 Benjamin Karg , Sergio Lucia

This paper examines the use of Quantized Neural Networks (QNNs) for two resource-constrained scientific applications: automated calibration of semi-conductor quantum bits (qubits) and scientific particle detectors. We evaluate the…

We present an approximative simulation method for quantum many-body systems based on coarse graining the space of the momentum transferred between interacting particles, which leads to effective Hamiltonians of reduced size with the…

强关联电子 · 物理学 2009-11-09 Wei-Guo Yin , Wei Ku

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
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