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Hybrid quantum-classical frameworks leverage quantum computing for machine learning; however, variational quantum circuits (VQCs) are limited by the need for local measurements. We introduce an adaptive non-local observable (ANO) paradigm…

Quantum Physics · Physics 2025-07-29 Hsin-Yi Lin , Samuel Yen-Chi Chen , Huan-Hsin Tseng , Shinjae Yoo

Kolmogorov-Arnold Networks (KANs) shift neural computation from linear layers to learnable nonlinear edge functions, but implementing these nonlinearities efficiently in hardware remains an open challenge. Here we introduce a physical…

Variational quantum circuits (VQCs) built upon noisy intermediate-scale quantum (NISQ) hardware, in conjunction with classical processing, constitute a promising architecture for quantum simulations, classical optimization, and machine…

Quantum Physics · Physics 2021-06-09 Yi Xia , Wei Li , Quntao Zhuang , Zheshen Zhang

The advent of quantum computing holds the potential to revolutionize various fields by solving complex problems more efficiently than classical computers. Despite this promise, practical quantum advantage is hindered by current hardware…

Quantum Physics · Physics 2024-08-06 William Troy

Variational quantum algorithms (VQAs) are leading strategies to reach practical utilities of near-term quantum devices. However, the no-cloning theorem in quantum mechanics precludes standard backpropagation, leading to prohibitive quantum…

Quantum Physics · Physics 2025-09-26 Yiming Huang , Yajie Hao , Jing Zhou , Xiao Yuan , Xiaoting Wang , Yuxuan Du

This paper introduces a novel application of Kolmogorov-Arnold Networks (KANs) to time series forecasting, leveraging their adaptive activation functions for enhanced predictive modeling. Inspired by the Kolmogorov-Arnold representation…

Signal Processing · Electrical Eng. & Systems 2025-10-28 Cristian J. Vaca-Rubio , Luis Blanco , Roberto Pereira , Màrius Caus

The modern digital engineering design often requires costly repeated simulations for different scenarios. The prediction capability of neural networks (NNs) makes them suitable surrogates for providing design insights. However, only a few…

Computational Engineering, Finance, and Science · Computer Science 2024-08-08 Diab W. Abueidda , Panos Pantidis , Mostafa E. Mobasher

Variational Quantum Circuits (VQC) are promising models for quantum machine learning, but standard monolithic architectures face an expressivity--trainability dilemma: small circuits can be under-parameterized, while larger circuits are…

Quantum Physics · Physics 2026-05-12 Howard Su , Chen-Yu Liu , Samuel Yen-Chi Chen , Kuan-Cheng Chen , Huan-Hsin Tseng

Quantum machine learning is an approach that aims to improve the performance of machine learning methods by leveraging the properties of quantum computers. In quantum circuit learning (QCL), a supervised learning method that can be…

The need for scalable and expressive models in machine learning is paramount, particularly in applications requiring both structural depth and flexibility. Traditional deep learning methods, such as multilayer perceptrons (MLP), offer depth…

Machine Learning · Computer Science 2024-08-01 Shrenik Zinage , Sudeepta Mondal , Soumalya Sarkar

Differentiable quantum architecture search (DQAS) is a gradient-based framework to design quantum circuits automatically in the NISQ era. It was motivated by such as low fidelity of quantum hardware, low flexibility of circuit architecture,…

Quantum Physics · Physics 2023-09-21 Yize Sun , Yunpu Ma , Volker Tresp

Inspired by the Kolmogorov-Arnold representation theorem, KANs offer a novel framework for function approximation by replacing traditional neural network weights with learnable univariate functions. This design demonstrates significant…

Machine Learning · Computer Science 2025-06-10 Zhangchi Zhao , Jun Shu , Deyu Meng , Zongben Xu

Kolmogorov Arnold Networks is a novel multilayer neuromorphic network that can exhibit higher accuracy than a neural network. It can learn and predict more accurately than neural networks with a smaller number of parameters, and many…

Quantum Physics · Physics 2026-01-01 Hikaru Wakaura

In recent years, Variational Quantum Algorithms (VQAs) have emerged as a promising approach for solving optimization problems on quantum computers in the NISQ era. However, one limitation of VQAs is their reliance on fixed-structure…

Quantum Physics · Physics 2026-03-03 Gloria Turati , Maurizio Ferrari Dacrema , Paolo Cremonesi

Kolmogorov-Arnold Networks (KANs) have been recently proposed as a machine learning framework that is more interpretable and controllable than the multi-layer perceptron. Various network architectures have been proposed within the KAN…

Machine Learning · Computer Science 2025-02-21 Tatiana Boura , Stasinos Konstantopoulos

Deeply stacked KANs are practically impossible due to high training difficulties and substantial memory requirements. Consequently, existing studies can only incorporate few KAN layers, hindering the comprehensive exploration of KANs. This…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Xingyu Qiu , Xinghua Ma , Dong Liang , Gongning Luo , Wei Wang , Kuanquan Wang , Shuo Li

Variational Quantum Algorithms (VQAs) have gained prominence as a viable framework for exploiting near-term quantum devices in applications ranging from optimization and chemistry simulation to machine learning. However, the effectiveness…

Machine Learning · Computer Science 2025-08-27 Yifeng Peng , Xinyi Li , Zhemin Zhang , Samuel Yen-Chi Chen , Zhiding Liang , Ying Wang

Quantum annealers provide an effective framework for solving large-scale combinatorial optimization problems. This work presents a novel methodology for training Variational Quantum Algorithms (VQAs) by reformulating the parameter…

Quantum Physics · Physics 2025-09-03 Ernesto Acosta , Guillermo Botella , Carlos Cano

Variational quantum algorithms (VQAs) optimize the parameters $\vec{\theta}$ of a parametrized quantum circuit $V(\vec{\theta})$ to minimize a cost function $C$. While VQAs may enable practical applications of noisy quantum computers, they…

Quantum Physics · Physics 2021-03-23 M. Cerezo , Akira Sone , Tyler Volkoff , Lukasz Cincio , Patrick J. Coles

DreamerV3 is a state-of-the-art online model-based reinforcement learning (MBRL) algorithm known for remarkable sample efficiency. Concurrently, Kolmogorov-Arnold Networks (KANs) have emerged as a promising alternative to Multi-Layer…

Machine Learning · Computer Science 2025-12-09 Chenwei Shi , Xueyu Luan
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