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We discuss classical and quantum algorithms for solvability testing and finding integer solutions x,y of equations of the form af^x + bg^y = c over finite fields GF(q). A quantum algorithm with time complexity q^(3/8) (log q)^O(1) is…

量子物理 · 物理学 2008-04-08 Wim van Dam , Igor E. Shparlinski

The two main notions of control in quantum programming languages are often referred to as "quantum" control and "classical" control. With the latter, the control flow is based on classical information, potentially resulting from a quantum…

计算机科学中的逻辑 · 计算机科学 2025-12-01 Kinnari Dave , Louis Lemonnier , Romain Péchoux , Vladimir Zamdzhiev

While significant progress has been made on the hardware side of quantum computing, support for high-level quantum programming abstractions remains underdeveloped compared to classical programming languages. In this article, we introduce…

Quantum computing systems rely on the principles of quantum mechanics to perform a multitude of computationally challenging tasks more efficiently than their classical counterparts. The architecture of software-intensive systems can empower…

Quantum computing, leveraging quantum phenomena like superposition and entanglement, is emerging as a transformative force in computing technology, promising unparalleled computational speed and efficiency crucial for engineering…

量子物理 · 物理学 2024-08-30 Osama Muhammad Raisuddin , Suvranu De

We consider a programming language that can manipulate both classical and quantum information. Our language is type-safe and designed for variational quantum programming, which is a hybrid classical-quantum computational paradigm. The…

计算机科学中的逻辑 · 计算机科学 2022-01-19 Xiaodong Jia , Andre Kornell , Bert Lindenhovius , Michael Mislove , Vladimir Zamdzhiev

The complexity of quantum computation remains poorly understood. While physicists attempt to find ways to create quantum computers, we still do not have much evidence one way or the other as to how useful these machines will be. The tools…

量子物理 · 物理学 2007-05-23 Lance Fortnow

Quantum random sampling is the leading proposal for demonstrating a computational advantage of quantum computers over classical computers. Recently, first large-scale implementations of quantum random sampling have arguably surpassed the…

量子物理 · 物理学 2023-07-21 Dominik Hangleiter , Jens Eisert

Recently Quantum Computation has generated a lot of interest due to the discovery of a quantum algorithm which can factor large numbers in polynomial time. The usefulness of a quantum com puter is limited by the effect of errors. Simulation…

量子物理 · 物理学 2007-05-23 Kevin M. Obenland , Alvin M. Despain

Ordinary approach to quantum algorithm is based on quantum Turing machine or quantum circuits. It is known that this approach is not powerful enough to solve NP-complete problems. In this paper we study a new approach to quantum algorithm…

量子物理 · 物理学 2015-06-26 Masanori Ohya , Igor V. Volovich

Quantum computing provides a powerful framework for tackling computational problems that are classically intractable. The goal of this paper is to explore the use of quantum computers for solving relevant problems in systems and control…

系统与控制 · 电气工程与系统科学 2025-12-23 Jan Schneider , Julian Berberich

Universal quantum computers are the only general purpose quantum computers known that can be implemented as of today. These computers consist of a classical memory component which controls the quantum memory. In this paper, the space…

量子物理 · 物理学 2020-11-03 Yanglin Hu , Darya Melnyk , Yuyi Wang , Roger Wattenhofer

Hybrid quantum-classical algorithms are central to much of the current research in quantum computing, particularly when considering the noisy intermediate-scale quantum (NISQ) era, with a number of experimental demonstrations having already…

量子物理 · 物理学 2022-07-15 Adam Callison , Nicholas Chancellor

Quantum computing is a new computational paradigm with the potential to solve certain computationally challenging problems much faster than traditional approaches. Civil engineering encompasses many computationally challenging problems,…

新兴技术 · 计算机科学 2024-03-29 Joern Ploennigs , Markus Berger , Martin Mevissen , Kay Smarsly

The standard inputs given to a quantum machine are classical binary strings. In this view, any quantum complexity class is a collection of subsets of $\{0,1\}^{*}$. However, a quantum machine can also accept quantum states as its input. T.…

量子物理 · 物理学 2007-05-23 Elham Kashefi , Carolina Moura Alves

Quantum computers are designed to outperform standard computers by running quantum algorithms. Areas in which quantum algorithms can be applied include cryptography, search and optimisation, simulation of quantum systems, and solving large…

量子物理 · 物理学 2016-02-24 Ashley Montanaro

Question answering (QA) systems are among the most important and rapidly developing research topics in natural language processing (NLP). A reason, therefore, is that a QA system allows humans to interact more naturally with a machine,…

计算与语言 · 计算机科学 2022-09-27 Amer Farea , Zhen Yang , Kien Duong , Nadeesha Perera , Frank Emmert-Streib

Construction of explicit quantum circuits follows the notion of the "standard circuit model" introduced in the solid and profound analysis of elementary gates providing quantum computation. Nevertheless the model is not always optimal (e.g.…

量子物理 · 物理学 2007-05-23 K. Ch. Chatzisavvas , C. Daskaloyannis , C. P. Panos

Quantum computers hold the promise to solve certain computational task much more efficiently than classical computers. We review the recent experimental advancements towards a quantum computer with trapped ions. In particular, various…

量子物理 · 物理学 2008-11-20 H. Haeffner , C. F. Roos , R. Blatt