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In the era of noisy intermediate-scale quantum (NISQ), variational quantum circuits (VQCs) have been widely applied in various domains, demonstrating the potential advantages of quantum circuits over classical models. Similar to classic…

Quantum Physics · Physics 2025-08-26 Jun Zhuang , Jack Cunningham , Chaowen Guan

We present a spectrally accurate fast algorithm for evaluating the solution to the scalar wave equation in free space driven by a large collection of point sources in a bounded domain. With $M$ sources temporally discretized by $N_t$ time…

Numerical Analysis · Mathematics 2025-11-27 Nour G. Al Hassanieh , Alex H. Barnett , Leslie Greengard

Deploying Large Language Models (LLMs) efficiently on edge devices is often constrained by limited memory capacity and high power consumption. Low-bit quantization methods, particularly ternary quantization, have demonstrated significant…

Hardware Architecture · Computer Science 2025-05-02 Chenyang Yin , Zhenyu Bai , Pranav Venkatram , Shivam Aggarwal , Zhaoying Li , Tulika Mitra

The current generation of quantum computing technologies call for quantum algorithms that require a limited number of qubits and quantum gates, and which are robust against errors. A suitable design approach are variational circuits where…

Quantum Physics · Physics 2020-04-10 Maria Schuld , Alex Bocharov , Krysta Svore , Nathan Wiebe

Quantum sensing is an important application of emerging quantum technologies. We explore whether a hybrid system of quantum sensors and quantum circuits can surpass the classical limit of sensing. In particular, we use optimization…

Random Fourier features (RFFs) provide a promising way for kernel learning in a spectral case. Current RFFs-based kernel learning methods usually work in a two-stage way. In the first-stage process, learning the optimal feature map is often…

Machine Learning · Computer Science 2024-01-17 Kun Fang , Fanghui Liu , Xiaolin Huang , Jie Yang

To address limitations of the graph fractional Fourier transform (GFRFT) Wiener filtering and the traditional joint time-vertex fractional Fourier transform (JFRFT) Wiener filtering, this study proposes a filtering method based on the…

Signal Processing · Electrical Eng. & Systems 2025-07-30 Ziqi Yan , Zhichao Zhang

We introduce CL-QAS, a continual quantum architecture search framework that mitigates the challenges of costly amplitude encoding and catastrophic forgetting in variational quantum circuits. The method uses Tensor-Train encoding to…

Quantum Physics · Physics 2026-01-13 Jun Qi , Chao-Han Huck Yang , Pin-Yu Chen , Javier Tejedor , Ling Li , Min-Hsiu Hsieh

Reinforcement learning (RL) is a promising method for quantum circuit optimisation. However, the state space that has to be explored by an RL agent is extremely large when considering all the possibilities in which a quantum circuit can be…

Quantum Physics · Physics 2023-03-07 Ioana Moflic , Vikas Garg , Alexandru Paler

Value approximation using deep neural networks is at the heart of off-policy deep reinforcement learning, and is often the primary module that provides learning signals to the rest of the algorithm. While multi-layer perceptron networks are…

Machine Learning · Computer Science 2022-06-10 Ge Yang , Anurag Ajay , Pulkit Agrawal

Convolutional neural networks have demonstrated impressive results in many computer vision tasks. However, the increasing size of these networks raises concerns about the information overload resulting from the large number of network…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Chenqiu Zhao , Guanfang Dong , Shupei Zhang , Zijie Tan , Anup Basu

We study spectra and pseudospectra of certain bounded linear operators on $\ell^2({\mathbb Z})$. The operators are generally non-normal, and their matrix representation has a characteristic off-diagonal decay. Based on a result of…

Spectral Theory · Mathematics 2016-06-14 Marko Lindner , Torge Schmidt

In machine learning, overparameterization is associated with qualitative changes in the empirical risk landscape, which can lead to more efficient training dynamics. For many parameterized models used in statistical learning, there exists a…

Quantum Physics · Physics 2023-07-11 Andrea Delgado , Francisco Rios , Kathleen E. Hamilton

Quantum Machine Learning (QML) is fundamentally limited by two challenges: barren plateaus (exponentially vanishing gradients) and the fragility of parameterized quantum circuits under noise. Despite extensive empirical studies, a unified…

Machine Learning · Computer Science 2026-04-06 Haijian Shao , Dalong Zhao , Xing Deng , Wenzheng Zhu , Yingtao Jiang

This paper introduces a robust and scalable framework for implementing nested affine transformations in quantum circuits. Utilizing Hadamard-supported conditional initialization and block encoding, the proposed method systematically applies…

Quantum Physics · Physics 2026-04-28 Anish Giri , David Hyde , Kalman Varga

Large-scale integration of converter-based renewable energy sources (RESs) into the power system will lead to a higher risk of frequency nadir limit violation and even frequency instability after the large power disturbance. Therefore, it…

Systems and Control · Electrical Eng. & Systems 2021-10-27 Likai Liu , Zechun Hu , Nikhil Pathak , Haocheng Luo

Quantum computers are a revolutionary class of computational platforms with applications in combinatorial and global optimization, machine learning, and other domains involving computationally hard problems. While these machines typically…

Quantum Physics · Physics 2026-04-21 Aditya Sodhani , Keshab K. Parhi

Neural network architectures designed for function parameterization, such as the Bag-of-Functions (BoF) framework, bridge the gap between the expressivity of deep learning and the interpretability of classical signal processing. However,…

Machine Learning · Computer Science 2026-03-18 David Orlando Salazar Torres , Diyar Altinses , Andreas Schwung

The integration of terahertz communications and ultra-massive multiple-input multiple-output (UM-MIMO) systems in 6G networks is motivated by their ability to enable unprecedented data rates, mitigate spectrum congestion, and enhance…

Signal Processing · Electrical Eng. & Systems 2026-05-14 Dmitry Artemasov , Alexander Shmatok , Kirill Andreev , Alexey Frolov , Manjesh K. Hanawal , Nikola Zlatanov

Barren-plateau results have established exponential gradient suppression as a widely cited obstacle to the scalability of variational quantum algorithms. When and whether these results extend to a given objective has been addressed through…

Quantum Physics · Physics 2026-04-22 Gordon Ma , Xiufan Li
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