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Training quantum neural networks (QNNs) using gradient-based or gradient-free classical optimisation approaches is severely impacted by the presence of barren plateaus in the cost landscapes. In this paper, we devise a framework for…

量子物理 · 物理学 2024-06-04 Yidong Liao , Min-Hsiu Hsieh , Chris Ferrie

Quantum neural networks (QNNs) leverage quantum entanglement and superposition to enable large-scale parallel linear computation, offering a potential solution to the scalability limits of classical deep learning. However, their practical…

量子物理 · 物理学 2025-08-05 Pei-Kun Yang

While Quantum Convolutional Neural Networks (QCNNs) offer a theoretical paradigm for quantum machine learning, their practical implementation is severely bottlenecked by barren plateaus -- the exponential vanishing of gradients -- and poor…

机器学习 · 计算机科学 2026-03-13 Radhakrishnan Delhibabu

We introduce several probabilistic quantum algorithms that overcome the normal unitary restrictions in quantum machine learning by leveraging the Linear Combination of Unitaries (LCU) method. Among our investigations are quantum native…

量子物理 · 物理学 2025-05-19 Jamie Heredge , Maxwell West , Lloyd Hollenberg , Martin Sevior

Quantum neural networks (QNNs) are a framework for creating quantum algorithms that promises to combine the speedups of quantum computation with the widespread successes of machine learning. A major challenge in QNN development is a…

量子物理 · 物理学 2021-06-18 Maria Kieferova , Ortiz Marrero Carlos , Nathan Wiebe

Quantum neural networks (QNNs) encounter significant challenges in realizing nonlinear behavior and effectively optimizing parameters. This study addresses these issues by modeling nonlinearity through a Taylor series expansion, where the…

量子物理 · 物理学 2025-04-22 Ding-Dang Yang

Quantum generative models exploit quantum superposition and entanglement to enhance learning efficiency for both classical and quantum data. Recently, inspired by classical diffusion frameworks, the quantum denoising diffusion probabilistic…

机器学习 · 计算机科学 2026-04-16 Haipeng Cao , Kaining Zhang , Dacheng Tao , Zhaofeng Su

Quantum neural networks (QNNs) have generated excitement around the possibility of efficiently analyzing quantum data. But this excitement has been tempered by the existence of exponentially vanishing gradients, known as barren plateau…

量子物理 · 物理学 2021-11-02 Arthur Pesah , M. Cerezo , Samson Wang , Tyler Volkoff , Andrew T. Sornborger , Patrick J. Coles

In this article, we present a novel approach to multivariate probabilistic forecasting. Our approach is based on an extension of single-output quantile regression (QR) to multivariate-targets, called quantile surfaces (QS). QS uses a simple…

应用统计 · 统计学 2020-10-13 Maarten Bieshaar , Jens Schreiber , Stephan Vogt , André Gensler , Bernhard Sick

Logistic regression (LR) is an important machine learning model for classification, with wide applications in text classification, image analysis and medicine diagnosis, etc. However, training LR generally entails an iterative gradient…

量子物理 · 物理学 2019-07-12 Hai-Ling Liu , Chao-Hua Yu , Yu-Sen Wu , Shi-Jie Pan , Su-Juan Qin , Fei Gao , Qiao-Yan Wen

There has been significant recent interest in quantum neural networks (QNNs), along with their applications in diverse domains. Current solutions for QNNs pose significant challenges concerning their scalability, ensuring that the…

量子物理 · 物理学 2022-03-24 Mohsen Heidari , Ananth Grama , Wojciech Szpankowski

Convolutional Neural Networks (CNNs) are pivotal in computer vision and Big Data analytics but demand significant computational resources when trained on large-scale datasets. Conventional training via back-propagation (BP) with losses like…

机器学习 · 计算机科学 2025-06-03 Aasish Kumar Sharma , Sanjeeb Prashad Pandey , Julian M. Kunkel

In this work, we introduce EQ-Net: the first holistic framework that solves both the tasks of log-likelihood ratio (LLR) estimation and quantization using a data-driven method. We motivate our approach with theoretical insights on two…

机器学习 · 计算机科学 2021-05-04 Marius Arvinte , Ahmed H. Tewfik , Sriram Vishwanath

Exploiting the power of quantum computation to realise superior machine learning algorithmshas been a major research focus of recent years, but the prospects of quantum machine learning (QML) remain dampened by considerable technical…

量子物理 · 物理学 2024-08-02 Maxwell T. West , Jamie Heredge , Martin Sevior , Muhammad Usman

As a hybrid of artificial intelligence and quantum computing, quantum neural networks (QNNs) have gained significant attention as a promising application on near-term, noisy intermediate-scale quantum (NISQ) devices. Conventional QNNs are…

量子物理 · 物理学 2024-04-09 Yadong Wu , Juan Yao , Pengfei Zhang , Xiaopeng Li

Many experimental proposals for noisy intermediate scale quantum devices involve training a parameterized quantum circuit with a classical optimization loop. Such hybrid quantum-classical algorithms are popular for applications in quantum…

量子物理 · 物理学 2019-02-04 Jarrod R. McClean , Sergio Boixo , Vadim N. Smelyanskiy , Ryan Babbush , Hartmut Neven

We analyze the barren plateau phenomenon in the variational optimization of quantum circuits inspired by matrix product states (qMPS), tree tensor networks (qTTN), and the multiscale entanglement renormalization ansatz (qMERA). We consider…

量子物理 · 物理学 2023-04-14 Enrique Cervero Martín , Kirill Plekhanov , Michael Lubasch

Combining classical optimization with parameterized quantum circuit evaluation, variational quantum algorithms (VQAs) are among the most promising algorithms in near-term quantum computing. Similar to neural networks (NNs), VQAs iteratively…

量子物理 · 物理学 2025-11-18 Zhehao Yi , Yanying Liang , Haozhen Situ

Ridge regression (RR) is an important machine learning technique which introduces a regularization hyperparameter $\alpha$ to ordinary multiple linear regression for analyzing data suffering from multicollinearity. In this paper, we present…

量子物理 · 物理学 2021-08-03 Chao-Hua Yu , Fei Gao , Qiao-Yan Wen

Efficient and biologically plausible alternatives to backpropagation in neural network training remain a challenge due to issues such as high computational complexity and additional assumptions about neural networks, which limit scalability…

机器学习 · 计算机科学 2024-03-20 Zeliang Zhang , Jinyang Jiang , Zhuo Liu , Susan Liang , Yijie Peng , Chenliang Xu
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