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Current technological advancements of quantum computers highlight the need for application-driven, practical and well-defined methods of benchmarking their performance. As the existing NISQ device's quality of two-qubit gate errors rate is…

Performance · Computer Science 2023-12-15 Krzysztof Kurowski , Piotr Rydlichowski , Konrad Wojciechowski , Tomasz Pecyna , Mateusz Slysz

In recent years, strong expectations have been raised for the possible power of quantum computing for solving difficult optimization problems, based on theoretical, asymptotic worst-case bounds. Can we expect this to have consequences for…

The intensive pursuit for quantum advantage in terms of computational complexity has further led to a modernized crucial question: {\it When and how will quantum computers outperform classical computers?} The next milestone is undoubtedly…

Quantum Physics · Physics 2024-05-07 Nobuyuki Yoshioka , Tsuyoshi Okubo , Yasunari Suzuki , Yuki Koizumi , Wataru Mizukami

We show that semiclassical formulas such as the Gutzwiller trace formula can be implemented on a quantum computer more efficiently than on a classical device. We give explicit quantum algorithms which yield quantum observables from…

Quantum Physics · Physics 2008-09-03 B. Georgeot , O. Giraud

This study examines the simulation of quantum algorithms on a classical computer. The program code implemented on a classical computer will be a straight connection between the mathematical formulation of quantum mechanics and computational…

Quantum Physics · Physics 2007-06-13 Peter Nyman

In this paper, we explore the potential of quantum computing in enhancing malware detection through the application of Quantum Machine Learning (QML). Our main objective is to investigate the performance of the Quantum Support Vector…

Quantum Physics · Physics 2025-10-09 Eliška Krátká , Aurél Gábor Gábris

Test pattern generation is an electronic design automation tool that attempts to find an input (or test) sequence that, when applied to a digital circuit, enables one to distinguish between the correct circuit behavior and the faulty…

Quantum Physics · Physics 2010-09-21 Jacob Biamonte , Marek Perkowski

Quantum machine learning is considered one of the current research fields with immense potential. In recent years, Havl\'i\v{c}ek et al. [Nature 567, 209-212 (2019)] have proposed a quantum machine learning algorithm with quantum-enhanced…

Quantum Physics · Physics 2025-06-09 Chao Ding , Shi Wang , Yaonan Wang , Weibo Gao

Quantum deep learning (QDL) explores the use of both quantum and quantum-inspired resources to determine when deep learning's core capabilities, such as expressivity, generalization, and scalability, can be enhanced based on specific…

Quantum technology promises revolutionary advantages in information processing and transmission compared to classical technology; however, determining which specific resources are needed to surpass the capabilities of classical machines…

Quantum Physics · Physics 2017-03-20 Yuxiang Yang , Giulio Chiribella , Gerardo Adesso

A longstanding goal in quantum information science is to demonstrate quantum computations that cannot be feasibly reproduced on a classical computer. Such demonstrations mark major milestones: they showcase fine control over quantum systems…

This work presents a comprehensive overview of variational quantum computing and their key role in advancing quantum simulation. This work explores the simulation of quantum systems and sets itself apart from approaches centered on…

Quantum Physics · Physics 2026-02-04 Lucas Q. Galvão , Anna Beatriz M. de Souza , Marcelo A. Moret , Clebson Cruz

Open source software is becoming crucial in the design and testing of quantum algorithms. Many of the tools are backed by major commercial vendors with the goal to make it easier to develop quantum software: this mirrors how well-funded…

Quantum Physics · Physics 2018-12-24 Mark Fingerhuth , Tomáš Babej , Peter Wittek

We introduce a protocol addressing the conformance test problem, which consists in determining whether a process under test conforms to a reference one. We consider a process to be characterized by the set of end-product it produces, which…

A test of quantumness is a protocol that allows a classical verifier to certify (only) that a prover is not classical. We show that tests of quantumness that follow a certain template, which captures recent proposals such as (Kalai et al.,…

Kernel methods are used extensively in classical machine learning, especially in the field of pattern analysis. In this paper, we propose a kernel-based quantum machine learning algorithm that can be implemented on a near-term, intermediate…

Quantum Physics · Physics 2019-06-11 Roohollah Ghobadi , Jaspreet S. Oberoi , Ehsan Zahedinejhad

Quantum information science strives to leverage the quantum-mechanical nature of our universe in order to achieve large improvements in certain information processing tasks. In deep-space optical communications, current receivers for the…

Quantum Physics · Physics 2020-04-16 Narayanan Rengaswamy

Quantum algorithms based on quantum kernel methods have been investigated previously [1]. A quantum advantage is derived from the fact that it is possible to construct a family of datasets for which, only quantum processing can recognise…

Quantum Physics · Physics 2024-05-08 Sanjeev Naguleswaran

As quantum algorithms and hardware continue to evolve, ensuring the correctness of the quantum software stack (QSS) has become increasingly important. However, testing QSSes remains challenging due to the oracle problem, i.e., the lack of a…

Software Engineering · Computer Science 2026-02-11 Junjie Luo , Shangzhou Xia , Fuyuan Zhang , Jianjun Zhao

Numerical simulation of quantum systems is crucial to further our understanding of natural phenomena. Many systems of key interest and importance, in areas such as superconducting materials and quantum chemistry, are thought to be described…

Quantum Physics · Physics 2010-11-17 Katherine L Brown , William J Munro , Vivien M Kendon
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