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Recently, the entanglement dynamics of two harmonic oscillators initially prepared in a separable-coherent state was demonstrated to offer a pathway for prime number identification. This article presents a generalized approach and outlines…

Quantum Physics · Physics 2024-08-09 Victor F. dos Santos , Jonas Maziero

Quantum computing exhibits the unique capability to natively and efficiently encode various natural phenomena, promising theoretical speedups of several orders of magnitude. However, not all computational tasks can be efficiently executed…

Software Engineering · Computer Science 2025-04-28 Vincenzo De Maio , Ivona Brandic , Ewa Deelman , Jürgen Cito

Quantum computing allows for the potential of significant advancements in both the speed and the capacity of widely used machine learning techniques. Here we employ quantum algorithms for the Hopfield network, which can be used for pattern…

Quantum Physics · Physics 2018-10-10 Patrick Rebentrost , Thomas R. Bromley , Christian Weedbrook , Seth Lloyd

Recent research has demonstrated that quantum computers can solve certain types of problems substantially faster than the known classical algorithms. These problems include factoring integers and certain physics simulations. Practical…

Quantum Physics · Physics 2009-10-30 Emanuel Knill , Raymond Laflamme , Wojciech H. Zurek

We present two quantum interior point methods for semidefinite optimization problems, building on recent advances in quantum linear system algorithms. The first scheme, more similar to a classical solution algorithm, computes an inexact…

Quantum Physics · Physics 2023-09-13 Brandon Augustino , Giacomo Nannicini , Tamás Terlaky , Luis F. Zuluaga

Quantum computing is a new computational paradigm that promises applications in several fields, including machine learning. In the last decade, deep learning, and in particular Convolutional neural networks (CNN), have become essential for…

Quantum Physics · Physics 2021-06-14 Iordanis Kerenidis , Jonas Landman , Anupam Prakash

We propose two quantum algorithms for a problem in bioinformatics, position weight matrix (PWM) matching, which aims to find segments (sequence motifs) in a biological sequence such as DNA and protein that have high scores defined by the…

Quantum Physics · Physics 2023-03-08 Koichi Miyamoto , Naoki Yamamoto , Yasubumi Sakakibara

A significant challenge in quantum computing (QC) is developing learning models that truly align with quantum principles, as many current approaches are complex adaptations of classical frameworks. In this work, we introduce Quantum…

One of the fundamental tasks in machine learning is image classification, which serves as a key benchmark for validating algorithm performance and practical potential. However, effectively processing high-dimensional, detail-rich images, a…

Quantum Physics · Physics 2025-09-09 Chenghua Duan , Xiuxing Li , Wending Zhao , Lin Yao , Qing Li , Ziyu Li , Fukang Li , Junhao Ma , Xia Wu

With the advantages of high-speed parallel processing, quantum computers can efficiently solve large-scale complex optimization problems in future networks. However, due to the uncertain qubit fidelity and quantum channel noise, distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-07 Napat Ngoenriang , Minrui Xu , Jiawen Kang , Dusit Niyato , Han Yu , Xuemin , Shen

Unsupervised visual clustering has garnered significant attention in recent times, aiming to characterize distributions of unlabeled visual images through clustering based on a parameterized appearance approach. Alternatively, clustering…

Quantum Physics · Physics 2025-02-19 Xuan Bac Nguyen , Hugh Churchill , Khoa Luu , Samee U. Khan

Quantum Machine Learning is an emerging sub-field in machine learning where one of the goals is to perform pattern recognition tasks by encoding data into quantum states. This extension from classical to quantum domain has been made…

Quantum Physics · Physics 2023-04-18 Ankit Kulshrestha , Xiaoyuan Liu , Hayato Ushijima-Mwesigwa , Ilya Safro

Accurately predicting response properties of molecules such as the dynamic polarizability and hyperpolarizability using quantum mechanics has been a long-standing challenge with widespread applications in material and drug design. Classical…

Chemical Physics · Physics 2020-09-01 Xiaoxia Cai , Wei-Hai Fang , Heng Fan , Zhendong Li

Quantum computing promises to revolutionize several scientific and technological domains through fundamentally new ways of processing information. Among its most compelling applications is digital quantum simulation, where quantum computers…

Quantum Physics · Physics 2026-02-05 Laurin E. Fischer

Feature selection is a common step in many ranking, classification, or prediction tasks and serves many purposes. By removing redundant or noisy features, the accuracy of ranking or classification can be improved and the computational cost…

Information Retrieval · Computer Science 2022-05-10 Maurizio Ferrari Dacrema , Fabio Moroni , Riccardo Nembrini , Nicola Ferro , Guglielmo Faggioli , Paolo Cremonesi

The rapid evolution of artificial intelligence has driven interest in Long Short-Term Memory (LSTM) networks for their effectiveness in processing sequential data. However, traditional LSTMs are limited by issues such as the vanishing…

Quantum Physics · Physics 2024-08-27 Yifan Zhou , Chong Cheng Xu , Mingi Song , Yew Kee Wong , Kangsong Du

Optimization of circuits is an essential task for both quantum and classical computers to improve their efficiency. In contrast, classical logic optimization is known to be difficult, and a lot of heuristic approaches have been developed so…

Quantum Physics · Physics 2025-05-14 Yusei Mori , Hideaki Hakoshima , Kyohei Sudo , Toshio Mori , Kosuke Mitarai , Keisuke Fujii

Quantum algorithms have the potential to provide exponential speedups over some of the best known classical algorithms. These speedups may enable quantum devices to solve currently intractable problems such as those in the fields of…

Quantum Physics · Physics 2018-12-13 Ciarán Ryan-Anderson

Geometric model fitting is a challenging but fundamental computer vision problem. Recently, quantum optimization has been shown to enhance robust fitting for the case of a single model, while leaving the question of multi-model fitting…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Matteo Farina , Luca Magri , Willi Menapace , Elisa Ricci , Vladislav Golyanik , Federica Arrigoni

A pivotal task for quantum computing is to speed up solving problems that are both classically intractable and practically valuable. Among these, combinatorial optimization problems have attracted tremendous attention due to their broad…

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