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We propose an approach for quantum amplitude estimation (QAE) designed to enhance computational efficiency while minimizing the reliance on quantum resources. Our method leverages quantum computers to generate a sequence of signals, from…

Quantum Physics · Physics 2025-08-25 Yongdan Yang , Ruyu Yang

Classification is at the core of data-driven prediction and decision-making, representing a fundamental task in supervised machine learning. Recently, several quantum machine learning algorithms that use quantum kernels as a measure of…

Quantum Physics · Physics 2024-08-12 Jungyun Lee , Daniel K. Park

We investigate the use of Quantum Neural Networks for discovering and implementing quantum error-correcting codes. Our research showcases the efficacy of Quantum Neural Networks through the successful implementation of the Bit-Flip quantum…

Quantum Physics · Physics 2023-04-14 A. Chalkiadakis , M. Theocharakis , G. D. Barmparis , G. P. Tsironis

Quantum Computing (QC) has gained immense popularity as a potential solution to deal with the ever-increasing size of data and associated challenges leveraging the concept of quantum random access memory (QRAM). QC promises quadratic or…

We propose an implementation of the quantum fast Fourier transform algorithm in an entangled system of multilevel atoms. The Fourier transform occurs naturally in the unitary time evolution of energy eigenstates and is used to define an…

Quantum Physics · Physics 2009-11-07 Ashok Muthukrishnan , C. R. Stroud

Our main result is a quantum public-key encryption scheme based on the Extrapolated Dihedral Coset problem (EDCP) which is equivalent, under quantum polynomial-time reductions, to the Learning With Errors (LWE) problem. For limited number…

Quantum Physics · Physics 2021-05-28 Javad Doliskani

Quantum machine learning (QML) continues to be an area of tremendous interest from research and industry. While QML models have been shown to be vulnerable to adversarial attacks much in the same manner as classical machine learning models,…

Machine Learning · Computer Science 2024-04-26 Maximilian Wendlinger , Kilian Tscharke , Pascal Debus

The emerging field of quantum machine learning has the potential to substantially aid in the problems and scope of artificial intelligence. This is only enhanced by recent successes in the field of classical machine learning. In this work…

Quantum Physics · Physics 2016-10-27 Vedran Dunjko , Jacob M. Taylor , Hans J. Briegel

The Learning with Errors (LWE) problem receives much attention in cryptography, mainly due to its fundamental significance in post-quantum cryptography. Among its solving algorithms, the Blum-Kalai-Wasserman (BKW) algorithm, originally…

Cryptography and Security · Computer Science 2021-02-04 Qian Guo , Erik Mårtensson , Paul Stankovski Wagner

Multi-view Feature Extraction (MvFE) has wide applications in machine learning, image processing and other fields. When dealing with massive high-dimensional data, the performance of classical computer faces severe challenges due to MvFE…

Quantum Physics · Physics 2024-05-31 Hai-Ling Liu , Ya-Qian Zhao , Ren-Gang Li , Xin Zhang

We show polynomial-time quantum algorithms for the following problems: (*) Short integer solution (SIS) problem under the infinity norm, where the public matrix is very wide, the modulus is a polynomially large prime, and the bound of…

Quantum Physics · Physics 2021-10-07 Yilei Chen , Qipeng Liu , Mark Zhandry

We introduce a new variant of Quantum Amplitude Estimation (QAE), called Iterative QAE (IQAE), which does not rely on Quantum Phase Estimation (QPE) but is only based on Grover's Algorithm, which reduces the required number of qubits and…

Quantum Physics · Physics 2021-04-20 Dmitry Grinko , Julien Gacon , Christa Zoufal , Stefan Woerner

This study explores quantum and classical hybrid architectures for financial time-series fore casting, focusing on Quantum Long Short-Term Memory (QLSTM) networks and Quantum Reservoir Computing (QRC), using univariate and multivariate lag…

Quantum Physics · Physics 2026-05-05 Danyal Maheshwari , Gerhard Hellstern , Martin Zaefferer , Martin Braun , Tanja Döhler

Though quantum algorithm acts as an important role in quantum computation science, not only for providing a great vision for solving classically unsolvable problems, but also due to the fact that it gives a potential way of understanding…

Quantum Physics · Physics 2015-08-11 Xiang Zhan , Jian Li , Hao Qin , Zhihao Bian , Peng Xue

Quantum machine learning (QML) has emerged as a promising area of research for enhancing the performance of classical machine learning systems by leveraging quantum computational principles. However, practical deployment of QML remains…

Quantum Physics · Physics 2025-10-21 Amena Khatun , Muhammad Usman

In this paper, we propose a quantum version of the differential cryptanalysis which offers a quadratic speedup over the existing classical one and show the quantum circuit implementing it. The quantum differential cryptanalysis is based on…

Quantum Physics · Physics 2019-01-04 Qing Zhou , Songfeng Lu , Zhigang Zhang , Jie Sun

The Learning with Errors (LWE) problem is a hard math problem in lattice-based cryptography. In the simplest case of binary secrets, it is the subset sum problem, with error. Effective ML attacks on LWE were demonstrated in the case of…

Cryptography and Security · Computer Science 2026-04-07 Alberto Alfarano , Eshika Saxena , Emily Wenger , François Charton , Kristin Lauter

Wavelet transforms are widely used in various fields of science and engineering as a mathematical tool with features that reveal information ignored by the Fourier transform. Unlike the Fourier transform, which is unique, a wavelet…

Quantum Physics · Physics 2024-04-23 Mohsen Bagherimehrab , Alan Aspuru-Guzik

The computational cost of concurrent multiscale finite element methods is dominated by the repeated solution of microscopic representative volume element (RVE) problems at macroscopic quadrature points. In this work, we introduce a…

Numerical Analysis · Mathematics 2026-04-08 Yiren Wang , Michael Ortiz , Fehmi Cirak

In classical machine learning, a set of weak classifiers can be adaptively combined to form a strong classifier for improving the overall performance, a technique called adaptive boosting (or AdaBoost). However, constructing the strong…

Quantum Physics · Physics 2019-02-05 Ximing Wang , Yuechi Ma , Min-Hsiu Hsieh , Manhong Yung
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