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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…

Quantum Physics · Physics 2008-11-20 H. Haeffner , C. F. Roos , R. Blatt

Quantum computers promise polynomial or exponential speed-up in solving certain problems compared to classical computers. However, in practical use, there are currently a number of fundamental technical challenges. One of them concerns the…

Emerging Technologies · Computer Science 2024-03-20 Markus Zajac , Uta Störl

Quantitative descriptions of strongly correlated materials pose a considerable challenge in condensed matter physics and chemistry. A promising approach to address this problem is quantum embedding methods. In particular, the dynamical…

Quantum Physics · Physics 2024-05-07 Rihito Sakurai , Wataru Mizukami , Hiroshi Shinaoka

It is known that quantum computers yield a speed-up for certain discrete problems. Here we want to know whether quantum computers are useful for continuous problems. We study the computation of the integral of functions from the classical…

Quantum Physics · Physics 2013-04-16 Erich Novak

Quantum computing has the potential to revolutionize multiple fields by solving complex problems that can not be solved in reasonable time with current classical computers. Nevertheless, the development of quantum computers is still in its…

Computational models are an essential tool for the design, characterization, and discovery of novel materials. Hard computational tasks in materials science stretch the limits of existing high-performance supercomputing centers, consuming…

Quantum Physics · Physics 2024-09-20 Yuri Alexeev , Maximilian Amsler , Paul Baity , Marco Antonio Barroca , Sanzio Bassini , Torey Battelle , Daan Camps , David Casanova , Young Jai Choi , Frederic T. Chong , Charles Chung , Chris Codella , Antonio D. Corcoles , James Cruise , Alberto Di Meglio , Jonathan Dubois , Ivan Duran , Thomas Eckl , Sophia Economou , Stephan Eidenbenz , Bruce Elmegreen , Clyde Fare , Ismael Faro , Cristina Sanz Fernández , Rodrigo Neumann Barros Ferreira , Keisuke Fuji , Bryce Fuller , Laura Gagliardi , Giulia Galli , Jennifer R. Glick , Isacco Gobbi , Pranav Gokhale , Salvador de la Puente Gonzalez , Johannes Greiner , Bill Gropp , Michele Grossi , Emanuel Gull , Burns Healy , Benchen Huang , Travis S. Humble , Nobuyasu Ito , Artur F. Izmaylov , Ali Javadi-Abhari , Douglas Jennewein , Shantenu Jha , Liang Jiang , Barbara Jones , Wibe Albert de Jong , Petar Jurcevic , William Kirby , Stefan Kister , Masahiro Kitagawa , Joel Klassen , Katherine Klymko , Kwangwon Koh , Masaaki Kondo , Doga Murat Kurkcuoglu , Krzysztof Kurowski , Teodoro Laino , Ryan Landfield , Matt Leininger , Vicente Leyton-Ortega , Ang Li , Meifeng Lin , Junyu Liu , Nicolas Lorente , Andre Luckow , Simon Martiel , Francisco Martin-Fernandez , Margaret Martonosi , Claire Marvinney , Arcesio Castaneda Medina , Dirk Merten , Antonio Mezzacapo , Kristel Michielsen , Abhishek Mitra , Tushar Mittal , Kyungsun Moon , Joel Moore , Mario Motta , Young-Hye Na , Yunseong Nam , Prineha Narang , Yu-ya Ohnishi , Daniele Ottaviani , Matthew Otten , Scott Pakin , Vincent R. Pascuzzi , Ed Penault , Tomasz Piontek , Jed Pitera , Patrick Rall , Gokul Subramanian Ravi , Niall Robertson , Matteo Rossi , Piotr Rydlichowski , Hoon Ryu , Georgy Samsonidze , Mitsuhisa Sato , Nishant Saurabh , Vidushi Sharma , Kunal Sharma , Soyoung Shin , George Slessman , Mathias Steiner , Iskandar Sitdikov , In-Saeng Suh , Eric Switzer , Wei Tang , Joel Thompson , Synge Todo , Minh Tran , Dimitar Trenev , Christian Trott , Huan-Hsin Tseng , Esin Tureci , David García Valinas , Sofia Vallecorsa , Christopher Wever , Konrad Wojciechowski , Xiaodi Wu , Shinjae Yoo , Nobuyuki Yoshioka , Victor Wen-zhe Yu , Seiji Yunoki , Sergiy Zhuk , Dmitry Zubarev

Quantum computing promises to solve difficult optimization problems in chemistry, physics and mathematics more efficiently than classical computers, but requires fault-tolerant quantum computers with millions of qubits. To overcome errors…

Databases · Computer Science 2021-07-23 Tobias Fankhauser , Marc E. Solèr , Rudolf M. Füchslin , Kurt Stockinger

Machine learning has been presented as one of the key applications for near-term quantum technologies, given its high commercial value and wide range of applicability. In this work, we introduce the \textit{quantum-assisted Helmholtz…

Quantum Physics · Physics 2018-05-24 Marcello Benedetti , John Realpe-Gómez , Alejandro Perdomo-Ortiz

A filtering problem for a class of quantum systems disturbed by a classical stochastic process is investigated in this paper. The classical disturbance process, which is assumed to be described by a linear stochastic differential equation,…

Quantum Physics · Physics 2017-03-28 Qi Yu , Daoyi Dong , Ian R. Petersen , Qing Gao

We propose a divide-and-conquer method for the quantum-classical hybrid algorithm to solve larger problems with small-scale quantum computers. Specifically, we concatenate a variational quantum eigensolver (VQE) with a reduction in the…

Quantum Physics · Physics 2022-01-26 Keisuke Fujii , Kaoru Mizuta , Hiroshi Ueda , Kosuke Mitarai , Wataru Mizukami , Yuya O. Nakagawa

Recent advancements in quantum computing are leading to an era of practical utility, enabling the tackling of increasingly complex problems. The goal of this era is to leverage quantum computing to solve real-world problems in fields such…

Quantum Physics · Physics 2025-05-07 Eneko Osaba , Esther Villar-Rodriguez , Izaskun Oregi

We present a quantum-in-quantum embedding strategy coupled to machine learning potentials to improve on the accuracy of quantum-classical hybrid models for the description of large molecules. In such hybrid models, relevant structural…

Quantum computing has recently exhibited great potentials in predicting chemical properties for various applications in drug discovery, material design, and catalyst optimization. Progress has been made in simulating small molecules, such…

With quantum computers of significant size now on the horizon, we should understand how to best exploit their initially limited abilities. To this end, we aim to identify a practical problem that is beyond the reach of current classical…

Quantum Physics · Physics 2018-09-26 Andrew M. Childs , Dmitri Maslov , Yunseong Nam , Neil J. Ross , Yuan Su

(Abridged.) Quantum computers promise to solve some problems exponentially faster than traditional computers, but we still do not fully understand why this is the case. While the most studied model of quantum computation uses qubits, which…

Quantum Physics · Physics 2025-05-29 Cameron Calcluth

With the aim of establishing a framework to efficiently perform the practical application of quantum chemistry simulation on near-term quantum devices, we envision a hybrid quantum--classical framework for leveraging problem decomposition…

Quantum computing uses the physical principles of very small systems to develop computing platforms which can solve problems that are intractable on conventional supercomputers. There are challenges not only in building the required…

Quantum Physics · Physics 2024-11-19 Dieter Jaksch , Peyman Givi , Andrew J. Daley , Thomas Rung

Recent developments in quantum hardware indicate that systems featuring more than 50 physical qubits are within reach. At this scale, classical simulation will no longer be feasible and there is a possibility that such quantum devices may…

Quantum Physics · Physics 2018-03-06 Mathias Soeken , Thomas Häner , Martin Roetteler

In this work we initiate the question of whether quantum devices can provide us with an almost perfect source of classical randomness, and more generally, suffice for classical cryptographic tasks, such as encryption. Indeed, it is well…

Quantum Physics · Physics 2007-05-23 Yevgeniy Dodis , Renato Renner

The recent development of quantum computing, which uses entanglement, superposition, and other quantum fundamental concepts, can provide substantial processing advantages over traditional computing. These quantum features help solve many…