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The physics-informed neural operator (PINO) is a machine learning paradigm that has demonstrated promising results for learning solutions to partial differential equations (PDEs). It leverages the Fourier Neural Operator to learn solution…

Practical applicability of quantum optimisation on near term devices is constrained by limited qubit counts and hardware noise, which restricts the scalability of quantum optimisation algorithms for combinatorial problems. The simulation of…

量子物理 · 物理学 2026-05-01 Namasi G Sankar , Georgios Miliotis , Simon Caton

Quadratic Unconstrained Binary Optimization (QUBO) sits at the heart of many industries and academic fields such as logistics, supply chain, finance, pharmaceutical science, chemistry, IT, and energy sectors, among others. These problems…

量子物理 · 物理学 2025-12-02 Chia-Tso Lai , Carsten Blank , Peter Schmelcher , Rick Mukherjee

The Quantum Fisher information (QFI) quantifies the ultimate precision of estimating a parameter from a quantum state, and can be regarded as a reliability measure of a quantum system as a quantum sensor. However, estimation of the QFI for…

量子物理 · 物理学 2022-02-03 Jacob L. Beckey , M. Cerezo , Akira Sone , Patrick J. Coles

As artificial intelligence emerges as a transformative enabler for fusion energy commercialization, fast and accurate solvers become increasingly critical. In magnetic confinement nuclear fusion, rapid and accurate solution of the…

等离子体物理 · 物理学 2025-12-08 Siqi Ding , Zitong Zhang , Guoyang Shi , Xingyu Li , Xiang Gu , Yanan Xu , Huasheng Xie , Hanyue Zhao , Yuejiang Shi , Tianyuan Liu

Quantum sensors driven into the quantum chaotic regime can have dramatically enhanced sensitivity, which, however, depends intricately on the details of the underlying classical phase space. Here, we develop an accurate semiclassical…

量子物理 · 物理学 2026-01-26 Mahdi RouhbakhshNabati , Daniel Braun , Henning Schomerus

Hybrid quantum-classical neural networks (HQNNs) are emerging as a practical approach for quantum machine learning in the noisy intermediate-scale quantum (NISQ) era, as they combine classical learning components with parameterized quantum…

量子物理 · 物理学 2026-05-19 Alberto Marchisio , Muhammad Kashif , Nouhaila Innan , Muhammad Shafique

Convolutional neural networks owe much of their success to hard-coding translation equivariance. Quantum convolutional neural networks (QCNNs) have been proposed as near-term quantum analogues, but the relevant notion of translation depends…

量子物理 · 物理学 2026-04-28 Dmitry Chirkov , Igor Lobanov

Designing universal artificial intelligence (AI) solver for partial differential equations (PDEs) is an open-ended problem and a significant challenge in science and engineering. Currently, data-driven solvers have achieved great success,…

机器学习 · 计算机科学 2025-02-24 Qinglong Ma , Peizhi Zhao , Sen Wang , Tao Song

Quantum federated learning (QFL) is a combination of distributed quantum computing and federated machine learning, integrating the strengths of both to enable privacy-preserving decentralized learning with quantum-enhanced capabilities. It…

机器学习 · 计算机科学 2025-08-25 Dinh C. Nguyen , Md Raihan Uddin , Shaba Shaon , Ratun Rahman , Octavia Dobre , Dusit Niyato

Classical Random Neural Networks (RNNs) have demonstrated effective applications in decision making, signal processing, and image recognition tasks. However, their implementation has been limited to deterministic digital systems that output…

量子物理 · 物理学 2022-03-07 Debanjan Konar , Erol Gelenbe , Soham Bhandary , Aditya Das Sarma , Attila Cangi

Neural operators have emerged as a powerful, data-driven paradigm for learning solution operators of partial differential equations (PDEs). State-of-the-art architectures, such as the Fourier Neural Operator (FNO), have achieved remarkable…

机器学习 · 计算机科学 2025-08-08 Saman Pordanesh , Pejman Shahsavari , Hossein Ghadjari

Hierarchical quantum classifiers, such as quantum convolutional neural networks (QCNNs), represent recent progress toward designing effective and feasible architectures for quantum classification. However, their performance on near-term…

量子物理 · 物理学 2026-02-26 Taehyun Kim , Israel F. Araujo , Daniel K. Park

Quantum neural networks are expected to be a promising application in near-term quantum computing, but face challenges such as vanishing gradients during optimization and limited expressibility by a limited number of qubits and shallow…

量子物理 · 物理学 2026-04-06 Yoshiaki Kawase

Numerically solving partial differential equations typically requires fine discretization to resolve necessary spatiotemporal scales, which can be computationally expensive. Recent advances in deep learning have provided a new approach to…

机器学习 · 计算机科学 2023-09-22 Saurabh Patil , Zijie Li , Amir Barati Farimani

Exploring the outer atmosphere of the sun has remained a significant bottleneck in astrophysics, given the intricate magnetic formations that significantly influence diverse solar events. Magnetohydrodynamics (MHD) simulations allow us to…

太阳与恒星天体物理 · 物理学 2024-09-10 Yutao Du , Qin Li , Raghav Gnanasambandam , Mengnan Du , Haimin Wang , Bo Shen

With the rapid development of quantum computing technology, we have entered the era of noisy intermediate-scale quantum (NISQ) computers. Therefore, designing quantum algorithms that adapt to the hardware conditions of current NISQ devices…

量子物理 · 物理学 2024-05-24 Anlei Zhang , Wei Cui

In this paper, we propose a way to solve partial differential equations (PDEs) by combining machine learning techniques and the finite element method called Phi-FEM. For that, we use the Fourier Neural Operator (FNO), a learning mapping…

数值分析 · 数学 2025-03-05 Michel Duprez , Vanessa Lleras , Alexei Lozinski , Vincent Vigon , Killian Vuillemot

Current technologies in quantum-based communications bring a new integration of quantum data with classical data for hybrid processing. However, the frameworks of these technologies are restricted to a single classical or quantum task,…

量子物理 · 物理学 2022-09-02 Quoc Hoan Tran , Sanjib Ghosh , Kohei Nakajima

The \textit{Temporal Fusion Transformer} (TFT), proposed by Lim \textit{et al.}, published in \textit{International Journal of Forecasting} (2021), is a state-of-the-art attention-based deep neural network architecture specifically designed…

机器学习 · 计算机科学 2025-10-27 Krishnakanta Barik , Goutam Paul