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We apply numerical optimization and linear algebra algorithms for classical computers to the problem of automatically synthesizing algorithms for quantum computers. Using our framework, we apply several common techniques from these…

Numerical Analysis · Mathematics 2025-09-16 Yuxin Huang , Benjamin E. Grossman-Ponemon , David A. B. Hyde

Quantum computing has demonstrated the potential to solve computationally intensive problems more efficiently than classical methods. Many software engineering tasks, such as test case selection, static analysis, code clone detection, and…

Software Engineering · Computer Science 2025-06-10 Jianjun Zhao

We present a novel multi-scale embedding scheme that links conventional QM/MM embedding and bootstrap embedding (BE) to allow simulations of large chemical systems on limited quantum devices. We also propose a mixed-basis BE scheme that…

We briefly review what a quantum computer is, what it promises to do for us, and why it is so hard to build one. Among the first applications anticipated to bear fruit is quantum simulation of quantum systems. While most quantum computation…

Quantum Physics · Physics 2010-07-06 Vivien M. Kendon , Kae Nemoto , William J. Munro

Quantum computers are expected to give major speed-ups for the simulation of quantum systems. In these conference proceedings, we discuss quantum algorithms for the simulation of perturbative Quantum Chromodynamics (QCD) processes. In…

High Energy Physics - Phenomenology · Physics 2023-09-14 Herschel A. Chawdhry , Mathieu Pellen

An alternative methodology to evaluate two-electron-repulsion integrals based on numerical approximation is proposed. Computational chemistry has branched into two major fields with methodologies based on quantum mechanics and classical…

Chemical Physics · Physics 2016-09-22 Pedro E. M. Lopes

Simulation of realistic classical mechanical systems is of great importance to many areas of engineering such as robotics, dynamics of rotating machinery and control theory. In this work, we develop quantum algorithms to estimate quantities…

Quantum Physics · Physics 2024-04-12 Hari Krovi

The actual (classical) Brain-Computer Interface attempts to use brain signals to drive suitable actuators performing the actions corresponding to subject's intention. However this goal is not fully reached, and when BCI works, it does only…

General Physics · Physics 2009-09-09 Eliano Pessa , Paola zizzi

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…

Scaling the size of monolithic quantum computer systems is a difficult task. As the number of qubits within a device increases, a number of factors contribute to decreases in yield and performance. To meet this challenge, distributed…

Computing the electronic structure of molecules with high precision is a central challenge in the field of quantum chemistry. Despite the enormous success of approximate methods, tackling this problem exactly with conventional computers is…

Quantum Physics · Physics 2020-10-20 J. Argüello-Luengo , A. González-Tudela , T. Shi , P. Zoller , J. I. Cirac

The Quantum Computer Condition (QCC) provides a rigorous and completely general framework for carrying out analyses of questions pertaining to fault-tolerance in quantum computers. In this paper we apply the QCC to the problem of…

Quantum Physics · Physics 2007-05-23 Gerald Gilbert , Michael Hamrick , F. Javier Thayer , Yaakov S. Weinstein

Time evolution of quantum systems is of interest in physics, in chemistry, and, more recently, in computer science. Quantum computers are suggested as one route to propagating quantum systems far more efficiently than ordinary numerical…

Quantum Physics · Physics 2015-02-13 James Daniel Whitfield

Accurately computing the free energies of biological processes is a cornerstone of computer-aided drug design but it is a daunting task. The need to sample vast conformational spaces and account for entropic contributions makes the…

We present a framework that utilizes quantum algorithms, an architecture aware quantum noise model and an ideal simulator to benchmark quantum computers. The benchmark metrics highlight the difference between the quantum computer evolution…

Quantum Physics · Physics 2021-12-20 Konstantinos Georgopoulos , Clive Emary , Paolo Zuliani

Approximate full configuration interaction (FCI) calculations have recently become tractable for systems of unforeseen size thanks to stochastic and adaptive approximations to the exponentially scaling FCI problem. The result of an FCI…

Strongly Correlated Electrons · Physics 2017-10-25 Susi Lehtola , Norm M. Tubman , K. Birgitta Whaley , Martin Head-Gordon

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

Classical simulation of quantum computers is an irreplaceable step in the design of quantum algorithms. Exponential simulation costs demand the use of high-performance computing techniques, and in particular distribution, whereby the…

Quantum Physics · Physics 2023-11-06 Tyson Jones , Bálint Koczor , Simon C. Benjamin

Simulating the time evolution of a physical system at quantum mechanical levels of detail -- known as Hamiltonian Simulation (HS) -- is an important and interesting problem across physics and chemistry. For this task, algorithms that run on…

In recent years, quantum Ising machines have drawn a lot of attention, but due to physical implementation constraints, it has been difficult to achieve dense coupling, such as full coupling with sufficient spins to handle practical…

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