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The rapid progress in quantum computing (QC) and machine learning (ML) has attracted growing attention, prompting extensive research into quantum machine learning (QML) algorithms to solve diverse and complex problems. Designing…

Quantum Physics · Physics 2025-01-13 Samuel Yen-Chi Chen , Huan-Hsin Tseng , Hsin-Yi Lin , Shinjae Yoo

Large Language Models (LLMs) have delivered impressive results in language understanding, generation, reasoning, and pushes the ability boundary of multimodal models. Transformer models, as the foundation of modern LLMs, offer a strong…

Computation and Language · Computer Science 2025-08-14 Weigao Sun , Jiaxi Hu , Yucheng Zhou , Jusen Du , Disen Lan , Kexin Wang , Tong Zhu , Xiaoye Qu , Yu Zhang , Xiaoyu Mo , Daizong Liu , Yuxuan Liang , Wenliang Chen , Guoqi Li , Yu Cheng

The Harrow-Hassidim-Lloyd (HHL) quantum algorithm for sampling from the solution of a linear system provides an exponential speed-up over its classical counterpart. The problem of solving a system of linear equations has a wide scope of…

Large Language Models (LLMs) contribute significantly to the development of conversational AI and has great potentials to assist the scientific research in various areas. This paper attempts to address the following questions: What…

Quantum Physics · Physics 2023-07-18 Zhiding Liang , Jinglei Cheng , Rui Yang , Hang Ren , Zhixin Song , Di Wu , Xuehai Qian , Tongyang Li , Yiyu Shi

Efficient estimation of high-dimensional matrices-including covariance and precision matrices-is a cornerstone of modern multivariate statistics. Most existing studies have focused primarily on the theoretical properties of the estimators…

Machine Learning · Computer Science 2026-03-31 Wan Tian , Hui Yang , Zhouhui Lian , Lingyue Zhang , Yijie Peng

We present a quantum computing approach to analyzing Large Language Model (LLM) embeddings, leveraging complex-valued representations and modeling semantic relationships using quantum mechanical principles. By establishing a direct mapping…

Quantum Physics · Physics 2025-12-03 Timo Aukusti Laine

Quantum machine learning models are designed for performing learning tasks. Some quantum classifier models are proposed to assign classes of inputs based on fidelity measurements. Quantum Hadamard test is a well-known quantum algorithm for…

Quantum Physics · Physics 2025-08-07 Vivek Mehta , Arghya Choudhury , Utpal Roy

Multilayer perceptron is the most common used class of feed-forward artificial neural network. It contains many applications in diverse fields such as speech recognition, image recognition, and machine translation software. To cater for the…

Quantum Physics · Physics 2018-09-11 Changpeng Shao

Large language models (LLMs) face inherent performance bottlenecks under parameter constraints, particularly in processing critical tokens that demand complex reasoning. Empirical analysis reveals challenging tokens induce abrupt gradient…

Computation and Language · Computer Science 2025-02-25 Yilong Chen , Junyuan Shang , Zhenyu Zhang , Yanxi Xie , Jiawei Sheng , Tingwen Liu , Shuohuan Wang , Yu Sun , Hua Wu , Haifeng Wang

The rapid advancement of quantum computing (QC) and machine learning (ML) has given rise to the burgeoning field of quantum machine learning (QML), aiming to capitalize on the strengths of quantum computing to propel ML forward. Despite its…

Quantum Physics · Physics 2024-07-30 Xin Dai , Tzu-Chieh Wei , Shinjae Yoo , Samuel Yen-Chi Chen

While Large Language Models (LLMs) have achieved remarkable success in various fields, the efficiency of training and inference remains a major challenge. To address this issue, we propose SUBLLM, short for Subsampling-Upsampling-Bypass…

Computation and Language · Computer Science 2024-08-26 Quandong Wang , Yuxuan Yuan , Xiaoyu Yang , Ruike Zhang , Kang Zhao , Wei Liu , Jian Luan , Daniel Povey , Bin Wang

Large language models (LLMs) demonstrate outstanding performance in various tasks in machine learning and have thus become one of the most important workloads in today's computing landscape. However, deploying LLM inference poses challenges…

Machine Learning · Computer Science 2024-06-21 Jungi Lee , Wonbeom Lee , Jaewoong Sim

Matrix multiplication (MatMul) is the computational backbone of modern machine learning, yet its classical complexity remains a bottleneck for large-scale data processing. We propose a hybrid quantum-classical algorithm for matrix…

Quantum Physics · Physics 2026-04-15 Wladimir Silva

Transformers are effective and efficient at modeling complex relationships and learning patterns from structured data in many applications. The main aim of this paper is to propose and design NLAFormer, which is a transformer-based…

Numerical Analysis · Mathematics 2025-08-28 Zhantao Ma , Yihang Gao , Michael K. Ng

In this work, quantum transformers are designed and analysed in detail by extending the state-of-the-art classical transformer neural network architectures known to be very performant in natural language processing and image analysis.…

Large Language Models (LLMs) have demonstrated remarkable capabilities across various fields, from natural language understanding to text generation. Compared to non-generative LLMs like BERT and DeBERTa, generative LLMs like GPT series and…

Hardware Architecture · Computer Science 2025-06-16 Jinhao Li , Jiaming Xu , Shan Huang , Yonghua Chen , Wen Li , Jun Liu , Yaoxiu Lian , Jiayi Pan , Li Ding , Hao Zhou , Yu Wang , Guohao Dai

Progress in the realisation of reliable large-scale quantum computers has motivated research into the design of quantum machine learning models. We present Quixer: a novel quantum transformer model which utilises the Linear Combination of…

Quantum Physics · Physics 2024-06-07 Nikhil Khatri , Gabriel Matos , Luuk Coopmans , Stephen Clark

Achieving a practical quantum speedup for deep neural networks (DNNs) remains a central yet elusive goal, hindered by the dual challenges of constructing deep architectures and the prohibitive overhead of data loading and measurement. We…

The success of the self-attention mechanism in classical machine learning models has inspired the development of quantum analogs aimed at reducing computational overhead. Self-attention integrates learnable query and key matrices to…

Despite a growing body of work at the intersection of deep learning and formal languages, there has been relatively little systematic exploration of transformer models for reasoning about typed lambda calculi. This is an interesting area of…

Programming Languages · Computer Science 2023-04-21 Brando Miranda , Avi Shinnar , Vasily Pestun , Barry Trager