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Developing high-performance materials is critical for diverse energy applications to increase efficiency, improve sustainability and reduce costs. Classical computational methods have enabled important breakthroughs in energy materials…

Quantum Physics · Physics 2026-01-26 Seongmin Kim , In-Saeng Suh , Travis S. Humble , Thomas Beck , Eungkyu Lee , Tengfei Luo

We present a general theory to treat periodic solids with quantum-chemistry methods. It relies on two main developments: 1) the modeling of a solid as a Clifford torus which is a torus that is both periodic and flat and 2) the introduction…

Quantum Physics · Physics 2025-12-04 Amer Alrakik , Gian Luigi Bendazzoli , Stefano Evangelisti , J. Arjan Berger

This review presents a concise, yet comprehensive discussion on the evolution of theoretical methods employed to determine the ground and excited states of molecules in weak and strong magnetic fields. The weak-field cases have been studied…

Atomic and Molecular Clusters · Physics 2021-05-31 Mihir Date , R. W. A Havenith

Quantum algorithms for simulating electronic ground states are slower than popular classical mean-field algorithms such as Hartree-Fock and density functional theory, but offer higher accuracy. Accordingly, quantum computers have been…

The computational cost of exact methods for quantum simulation using classical computers grows exponentially with system size. As a consequence, these techniques can only be applied to small systems. By contrast, we demonstrate that quantum…

Quantum Physics · Physics 2008-12-17 Ivan Kassal , Stephen P. Jordan , Peter J. Love , Masoud Mohseni , Alán Aspuru-Guzik

The Hilbert space formalism of quantum mechanics is reviewed with emphasis on applications to quantum computing. Standard interferomeric techniques are used to construct a physical device capable of universal quantum computation. Some…

High Energy Physics - Theory · Physics 2007-05-23 K. Svozil

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…

Quantum Physics · Physics 2016-02-24 Ashley Montanaro

An introduction to the Quantum Chemistry Package (QCP), implemented in the computer algebra system Maple, is presented. The QCP combines sophisticated electronic structure methods and Maple's easy-to-use graphical interface to enable…

Physics Education · Physics 2021-04-01 Jason M. Montgomery , David A. Mazziotti

Quantum computing is gaining increased attention as a potential way to speed up simulations of physical systems, and it is also of interest to apply it to simulations of classical plasmas. However, quantum information science is…

Plasma Physics · Physics 2024-06-19 I. Y. Dodin , E. A. Startsev

Quantum computers have the potential to simulate chemical systems beyond the capability of classical computers. Recent developments in hybrid quantum-classical approaches enable the determinations of the ground or low energy states of…

Quantum Physics · Physics 2021-12-06 Chee-Kong Lee , Jonathan Wei Zhong Lau , Liang Shi , Leong Chuan Kwek

Achieving chemical accuracy with shallow quantum circuits is a significant challenge in quantum computational chemistry, particularly for near-term quantum devices. In this work, we present a Clifford-based Hamiltonian engineering…

Quantum Physics · Physics 2024-01-09 Jiace Sun , Lixue Cheng , Weitang Li

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…

In this educational paper, we will discuss calculations on the hydrogen molecule both on classical and quantum computers. In the former case, we will discuss the calculation of molecular integrals that can then be used to calculate…

Chemical Physics · Physics 2025-07-25 Vincent Graves , Christoph Sünderhauf , Nick S. Blunt , Róbert Izsák , Milán Szőri

Quantum-classical hybrid algorithms are emerging as promising candidates for near-term practical applications of quantum information processors in a wide variety of fields ranging from chemistry to physics and materials science. We report…

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

Simulating chemical systems is highly sought after and computationally challenging, as the number of degrees of freedom increases exponentially with the size of the system. Quantum computers have been proposed as a computational means to…

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…

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

Quantum computing (QC) provides a promising avenue toward enabling quantum chemistry calculations, which are classically impossible due to a computational complexity that increases exponentially with system size. As fully fault-tolerant…

Quantum computers can in principle solve certain problems exponentially more quickly than their classical counterparts. We have not yet reached the advent of useful quantum computation, but when we do, it will affect nearly all scientific…

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