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The advent of hybrid computing platforms consisting of quantum processing units integrated with conventional high-performance computing brings new opportunities for algorithm design. By strategically offloading select portions of the…

In this introductory review, we focus on applications of quantum computation to problems of interest in physics and chemistry. We describe quantum simulation algorithms that have been developed for electronic-structure problems,…

Quantum Physics · Physics 2014-04-16 Man-Hong Yung , James D. Whitfield , Sergio Boixo , David G. Tempel , Alán Aspuru-Guzik

This article is intended to an introductory lecture in material physics, in which the modern computational group theory and the electronic structure calculation are in collaboration. The effort of mathematicians in field of the group…

Materials Science · Physics 2019-08-08 Akihito Kikuchi

Over the last century, a large number of physical and mathematical developments paired with rapidly advancing technology have allowed the field of quantum chemistry to advance dramatically. However, the lack of computationally efficient…

Quantum Physics · Physics 2011-03-08 James D. Whitfield , Jacob Biamonte , Alán Aspuru-Guzik

Specialized computational chemistry packages have permanently reshaped the landscape of chemical and materials science by providing tools to support and guide experimental efforts and for the prediction of atomistic and electronic…

Chemical Physics · Physics 2020-05-27 E. Aprà , E. J. Bylaska , W. A. de Jong , N. Govind , K. Kowalski , T. P. Straatsma , M. Valiev , H. J. J. van Dam , Y. Alexeev , J. Anchell , V. Anisimov , F. W. Aquino , R. Atta-Fynn , J. Autschbach , N. P. Bauman , J. C. Becca , D. E. Bernholdt , K. Bhaskaran-Nair , S. Bogatko , P. Borowski , J. Boschen , J. Brabec , A. Bruner , E. Cauët , Y. Chen , G. N. Chuev , C. J. Cramer , J. Daily , M. J. O. Deegan , T. H. Dunning , M. Dupuis , K. G. Dyall , G. I. Fann , S. A. Fischer , A. Fonari , H. Früuchtl , L. Gagliardi , J. Garza , N. Gawande , S. Ghosh , K. Glaesemann , A. W. Götz , J. Hammond , V. Helms , E. D. Hermes , K. Hirao , S. Hirata , M. Jacquelin , L. Jensen , B. G. Johnson , H. Jónsson , R. A. Kendall , M. Klemm , R. Kobayashi , V. Konkov , S. Krishnamoorthy , M. Krishnan , Z. Lin , R. D. Lins , R. J. Littlefield , A. J. Logsdail , K. Lopata , W. Ma , A. V. Marenich , J. Martin del Campo , D. Mejia-Rodriguez , J. E. Moore , J. M. Mullin , T. Nakajima , D. R. Nascimento , J. A. Nichols , P. J. Nichols , J. Nieplocha , A. Otero de la Roza , B. Palmer , A. Panyala , T. Pirojsirikul , B. Peng , R. Peverati , J. Pittner , L. Pollack , R. M. Richard , P. Sadayappan , G. C. Schatz , W. A. Shelton , D. W. Silverstein , D. M. A. Smith , T. A. Soares , D. Song , M. Swart , H. L. Taylor , G. S. Thomas , V. Tipparaju , D. G. Truhlar , K. Tsemekhman , T. Van Voorhis , Á. Vázquez-Mayagoitia , P. Verma , O. Villa , A. Vishnu , K. D. Vogiatzis , D. Wang , J. H. Weare , M. J. Williamson , T. L. Windus , K. Woliński , A. T. Wong , Q. Wu , C. Yang , Q. Yu , M. Zacharias , Z. Zhang , Y. Zhao , R. J. Harrison

Molecular simulations are widely regarded as leading candidates to demonstrate quantum advantage--defined as the point at which quantum methods surpass classical approaches in either accuracy or scale. Yet the qubit counts and error rates…

Quantum computing has emerged as a promising platform for simulating strongly correlated systems in chemistry, for which the standard quantum chemistry methods are either qualitatively inaccurate or too expensive. However, due to the…

Chemical Physics · Physics 2024-05-06 Max Rossmannek , Fabijan Pavošević , Angel Rubio , Ivano Tavernelli

Mixed Integer Linear Programming (MILP) can be considered the backbone of the modern power system optimization process, with a large application spectrum, from Unit Commitment and Optimal Transmission Switching to verifying Neural Networks…

Quantum Physics · Physics 2024-04-17 Petros Ellinas , Samuel Chevalier , Spyros Chatzivasileiadis

Quantum computational chemistry has emerged as an important application of quantum computing. Hybrid quantum-classical computing methods, such as variational quantum eigensolvers (VQE), have been designed as promising solutions to quantum…

Quantum machine learning (QML) is a promising early use case for quantum computing. There has been progress in the last five years from theoretical studies and numerical simulations to proof of concepts. Use cases demonstrated on…

Quantum Physics · Physics 2024-04-30 Daniel Goldsmith , M M Hassan Mahmud

Within the last decade much progress has been made in the experimental realisation of quantum computing hardware based on a variety of physical systems. Rapid progress has been fuelled by the conviction that sufficiently powerful quantum…

Quantum Physics · Physics 2021-06-01 A. Rossi , P. G. Baity , V. M. Schäfer , M. Weides

Quantum chemistry is among the most promising applications of quantum computing, offering the potential to solve complex electronic structure problems more efficiently than classical approaches. A critical component of any quantum algorithm…

Quantum Physics · Physics 2025-06-02 Smik Patel , Praveen Jayakumar , Tzu-Ching Yen , Artur F. Izmaylov

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

We introduce an electronic structure based representation for quantum machine learning (QML) of electronic properties throughout chemical compound space. The representation is constructed using computationally inexpensive ab initio…

Chemical Physics · Physics 2022-03-17 Konstantin Karandashev , O. Anatole von Lilienfeld

Quantum computers are special purpose machines that are expected to be particularly useful in simulating strongly correlated chemical systems. The quantum computer excels at treating a moderate number of orbitals within an active space in a…

The educational value of a fully diagrammatic approach in a scientific field has never been explored. We present Quantum Picturalism (QPic), an entirely diagrammatic formalism for all of qubit quantum mechanics. This framework is…

We have unified quantum and classical computing in open quantum systems called qACP which is a quantum generalization of process algebra ACP. But, an axiomatization for quantum and classical processes with an assumption of closed quantum…

Logic in Computer Science · Computer Science 2016-10-11 Yong Wang

As we begin to reach the limits of classical computing, quantum computing has emerged as a technology that has captured the imagination of the scientific world. While for many years, the ability to execute quantum algorithms was only a…

Quantum Physics · Physics 2020-11-12 Bela Bauer , Sergey Bravyi , Mario Motta , Garnet Kin-Lic Chan

The QCDMAPT program package facilitates computations in the framework of dispersive approach to Quantum Chromodynamics. The QCDMAPT_F version of this package enables one to perform such computations with Fortran, whereas the previous…

High Energy Physics - Phenomenology · Physics 2011-07-07 A. V. Nesterenko , C. Simolo

Fault-tolerant quantum computation promises to solve outstanding problems in quantum chemistry within the next decade. Realizing this promise requires scalable tools that allow users to translate descriptions of electronic structure…