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Quantum natural language processing (QNLP) offers a novel approach to semantic modeling by embedding compositional structure directly into quantum circuits. This paper investigates the application of QNLP models to the task of Natural…

Computation and Language · Computer Science 2025-10-21 Ling Sun , Peter Sullivan , Michael Martin , Yun Zhou

Quantum machine learning (QML) is an emerging field that investigates the capabilities of quantum computers for learning tasks. While QML models can theoretically offer advantages such as exponential speed-ups, challenges in data loading…

Quantum Physics · Physics 2025-11-03 Florian J. Kiwit , Bernhard Jobst , Andre Luckow , Frank Pollmann , Carlos A. Riofrío

Quantum computing is a promising new area of computing with quantum algorithms offering a potential speedup over classical algorithms if fault tolerant quantum computers can be built. One of the first applications of the classical computer…

Quantum Physics · Physics 2023-03-09 Michael McGuigan

In mathematical aspect, we introduce quantum algorithm and the mathematical structure of quantum computer. Quantum algorithm is expressed by linear algebra on a finite dimensional complex inner product space. The mathematical formulations…

History and Overview · Mathematics 2020-08-21 BongJu Kim

Quantum machine learning (QML) is a rapidly growing field that combines quantum computing principles with traditional machine learning. It seeks to revolutionize machine learning by harnessing the unique capabilities of quantum mechanics…

Quantum Physics · Physics 2024-11-15 Jun Qi , Chao-Han Yang , Samuel Yen-Chi Chen , Pin-Yu Chen

Quantum kernel methods offer significant theoretical benefits by rendering classically inseparable features separable in quantum space. Yet, the practical application of Quantum Machine Learning (QML), currently constrained by the…

Machine Learning · Computer Science 2026-02-03 Philipp Altmann , Maximilian Mansky , Maximilian Zorn , Jonas Stein , Claudia Linnhoff-Popien

Quantum machine learning promises great speedups over classical algorithms, but it often requires repeated computations to achieve a desired level of accuracy for its point estimates. Bayesian learning focuses more on sampling from…

Quantum Physics · Physics 2021-07-21 Noah Berner , Vincent Fortuin , Jonas Landman

As the most central and computationally intensive component of deep neural networks, the execution efficiency of matrix multiplication directly determines the training and inference performance of models. Harnessing the parallel processing…

Quantum Physics · Physics 2026-05-25 Jiaqi Yao , Tianjian Huang , Zipeng Cai , Ding Liu

Graph Neural Networks (GNNs) are powerful machine learning models that excel at analyzing structured data represented as graphs, demonstrating remarkable performance in applications like social network analysis and recommendation systems.…

Quantum Physics · Physics 2024-05-28 Yidong Liao , Xiao-Ming Zhang , Chris Ferrie

People are witnessing quantum computing revolutions nowadays. Progress in the number of qubits, coherence times and gate fidelities are happening. Although quantum error correction era has not arrived, the research and development of…

Quantum Physics · Physics 2023-10-17 Guanru Feng , Dawei Lu , Jun Li , Tao Xin , Bei Zeng

Typically, quantum mechanics is thought of as a linear theory with unitary evolution governed by the Schr\"odinger equation. While this is technically true and useful for a physicist, with regards to computation it is an unfortunately…

Quantum Physics · Physics 2018-04-20 Dax Enshan Koh , Murphy Yuezhen Niu , Theodore J. Yoder

Quantum computing is a promising approach of computation that is based on equations from Quantum Mechanics. A simulator for quantum algorithms must be capable of performing heavy mathematical matrix transforms. The design of the simulator…

Emerging Technologies · Computer Science 2013-02-25 A. S. Tolba , M. Z. Rashad , M. A. El-Dosuky

Quantum machine learning is a rapidly evolving field of research that could facilitate important applications for quantum computing and also significantly impact data-driven sciences. In our work, based on various arguments from complexity…

Research progress in quantum computing has, thus far, focused on a narrow set of application domains. Expanding the suite of quantum application domains is vital for the discovery of new software toolchains and architectural abstractions.…

The concurrent rise of artificial intelligence and quantum information poses opportunity for creating interdisciplinary technologies like quantum neural networks. Quantum reservoir processing, introduced here, is a platform for quantum…

Disordered Systems and Neural Networks · Physics 2019-05-10 Sanjib Ghosh , Andrzej Opala , Michał Matuszewski , Tomasz Paterek , Timothy C. H. Liew

Image classification, a pivotal task in multiple industries, faces computational challenges due to the burgeoning volume of visual data. This research addresses these challenges by introducing two quantum machine learning models that…

Quantum Physics · Physics 2024-03-29 Arsenii Senokosov , Alexandr Sedykh , Asel Sagingalieva , Basil Kyriacou , Alexey Melnikov

Quantum Bayesian Computation (QBC) is an emerging field that levers the computational gains available from quantum computers to provide an exponential speed-up in Bayesian computation. Our paper adds to the literature in two ways. First, we…

Machine Learning · Statistics 2023-03-07 Nick Polson , Vadim Sokolov , Jianeng Xu

In this paper we present the computational model underlying the one-way quantum computer which we introduced recently [Phys. Rev. Lett. 86, 5188 (2001)]. The one-way quantum computer has the property that any quantum logic network can be…

Quantum Physics · Physics 2007-05-23 Robert Raussendorf , Hans Briegel

The rapid growth of computer vision and increasingly complex image recognition tasks has exposed fundamental computational limitations of classical machine learning models, motivating the exploration of quantum computing as an emerging new…

Computer Vision and Pattern Recognition · Computer Science 2026-05-28 Sudip Vhaduri , Ryan Gammon , Sayanton Dibbo

Quantum neural networks represent a new machine learning paradigm that has recently attracted much attention due to its potential promise. Under certain conditions, these models approximate the distribution of their dataset with a truncated…

Quantum Physics · Physics 2023-11-02 Mo Kordzanganeh , Daria Kosichkina , Alexey Melnikov