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The field of quantum algorithms aims to find ways to speed up the solution of computational problems by using a quantum computer. A key milestone in this field will be when a universal quantum computer performs a computational task that is…

量子物理 · 物理学 2018-09-21 Aram W Harrow , Ashley Montanaro

Quantum computing is of high interest because it promises to perform at least some kinds of computations much faster than classical computers. Arute et al. 2019 (informally, "the Google Quantum Team") report the results of experiments that…

量子物理 · 物理学 2020-09-17 Jack K. Horner , John F. Symons

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…

Scientists have demonstrated that quantum computing has presented novel approaches to address computational challenges, each varying in complexity. Adapting problem-solving strategies is crucial to harness the full potential of quantum…

Quantum computers are believed to bring computational advantages in simulating quantum many body systems. However, recent works have shown that classical machine learning algorithms are able to predict numerous properties of quantum systems…

量子物理 · 物理学 2024-12-23 Riccardo Molteni , Casper Gyurik , Vedran Dunjko

We describe the problems of quantum chemistry, the intuition behind classical heuristic methods used to solve them, a conjectured form of the classical complexity of quantum chemistry problems, and the subsequent opportunities for quantum…

量子物理 · 物理学 2024-07-17 Garnet Kin-Lic Chan

We discuss models of computing that are beyond classical. The primary motivation is to unearth the cause of nonclassical advantages in computation. Completeness results from computational complexity theory lead to the identification of very…

量子物理 · 物理学 2011-12-22 Animesh Datta , Anil Shaji

The problem of sampling outputs of quantum circuits has been proposed as a candidate for demonstrating a quantum computational advantage (sometimes referred to as quantum "supremacy"). In this work, we investigate whether quantum advantage…

量子物理 · 物理学 2021-06-09 Leonardo Novo , Juani Bermejo-Vega , Raúl García-Patrón

Quantum computing promises to tackle technological and industrial problems insurmountable for classical computers. However, today's quantum computers still have limited demonstrable functionality, and it is expected that scaling up to…

Numerous reports claim that quantum advantage, which should emerge as a direct consequence of the advent of quantum computers, will herald a new era of chemical research because it will enable scientists to perform the kinds of quantum…

量子物理 · 物理学 2020-09-29 V. E. Elfving , B. W. Broer , M. Webber , J. Gavartin , M. D. Halls , K. P. Lorton , A. Bochevarov

In recent years, research on near-term quantum machine learning has explored how classical machine learning algorithms endowed with access to quantum kernels (similarity measures) can outperform their purely classical counterparts. Although…

量子物理 · 物理学 2022-06-24 Zoran Krunic , Frederik F. Flöther , George Seegan , Nathan Earnest-Noble , Omar Shehab

In the last decade, public and industrial research funding has moved quantum computing from the early promises of Shor's algorithm through experiments to the era of noisy intermediate scale quantum devices (NISQ) for solving real-world…

量子物理 · 物理学 2023-04-05 Rhonda Au-Yeung , Nicholas Chancellor , Pascal Halffmann

Significant advances in the development of computing devices based on quantum effects and the demonstration of their use to solve various problems have rekindled interest in the nature of the "quantum computational advantage." Although…

量子物理 · 物理学 2024-11-01 Aleksey K. Fedorov , Evgeniy O. Kiktenko , Nikolay N. Kolachevsky

Alongside the development of quantum algorithms and quantum complexity theory in recent years, quantum techniques have also proved instrumental in obtaining results in classical (non-quantum) areas. In this paper we survey these results and…

量子物理 · 物理学 2011-03-15 Andrew Drucker , Ronald de Wolf

The quest for quantum advantage, wherein quantum computers surpass the computational capabilities of classical computers executing state-of-the-art algorithms on well-defined tasks, represents a pivotal race in the domain of quantum…

量子物理 · 物理学 2024-08-08 Muhammad AbuGhanem , Hichem Eleuch

Quantum computing has the potential to deliver large advantages on computational tasks, but advantages for practical tasks are not yet achievable with current hardware. Quantum sensing is an entirely separate quantum technology that can…

量子物理 · 物理学 2025-07-24 Saeed A. Khan , Sridhar Prabhu , Logan G. Wright , Peter L. McMahon

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…

量子物理 · 物理学 2024-05-07 Nobuyuki Yoshioka , Tsuyoshi Okubo , Yasunari Suzuki , Yuki Koizumi , Wataru Mizukami

We investigate the boundary between classical and quantum computational power. This work consists of two parts. First we develop new classical simulation algorithms that are centered on sampling methods. Using these techniques we generate…

量子物理 · 物理学 2012-02-20 M. Van den Nest

Shor's and Grover's famous quantum algorithms for factoring and searching show that quantum computers can solve certain computational problems significantly faster than any classical computer. We discuss here what quantum computers_cannot_…

量子物理 · 物理学 2015-06-02 Peter Hoyer , Robert Spalek

Quantum computing exposes the brilliance of quantum mechanics through computer science and, as such, gives oneself a marvelous and exhilarating journey to go through. This article leads along that journey with a historical and current…

科普物理 · 物理学 2024-03-18 Robert Kudelić