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Lagrange coded computation (LCC) is essential to solving problems about matrix polynomials in a coded distributed fashion; nevertheless, it can only solve the problems that are representable as matrix polynomials. In this paper, we propose…

Information Theory · Computer Science 2022-05-23 Navneet Agrawal , Yuqin Qiu , Matthias Frey , Igor Bjelakovic , Setareh Maghsudi , Slawomir Stanczak , Jingge Zhu

We review the potential method in lattice QCD, which has recently been proposed to extract nucleon-nucleon interactions via numerical simulations. We focus on the methodology of this approach by emphasizing the strategy of the potential…

High Energy Physics - Lattice · Physics 2013-09-18 Sinya Aoki

Lattice Boltzmann methods (LBM) are an important part of current computational fluid dynamics (CFD). They allow easy implementations and boundary handling. However, competitive time to solution not only depends on the choice of a reasonable…

Performance · Computer Science 2018-04-18 Markus Wittmann , Viktor Haag , Thomas Zeiser , Harald Köstler , Gerhard Wellein

The lattice technique of studying the strong interaction of matter is used to obtain predictions of the hadronic spectrum. These simulations were performed by the UKQCD collaboration using full (unquenched) QCD. Details of the results, a…

High Energy Physics - Lattice · Physics 2009-10-31 C. R. Allton

Computational Fluid Dynamics simulations are crucial in industrial applications but require extensive computational resources, particularly for extreme turbulent regimes. While classical digital approaches remain the standard, quantum…

Quantum Physics · Physics 2025-04-18 Francesco Turro , Alessandra Lignarolo , Daniele Dragoni

Fault-tolerant (FT) computation by using quantum error correction (QEC) is essential for realizing large-scale quantum algorithms. Devices are expected to have enough qubits to demonstrate aspects of fault tolerance in the near future.…

Quantum Physics · Physics 2020-03-24 Lingling Lao , Carmen G. Almudever

The advances in computer processor technology have enabled the application of nonlinear model predictive control (NMPC) to agile systems, such as quadrotors. These systems are characterized by their underactuation, nonlinearities, bounded…

Quantum low-density parity check (qLDPC) codes are among the leading candidates to realize error-corrected quantum memories with low qubit overhead. Potentially high encoding rates and large distance relative to their block size make them…

Quantum Physics · Physics 2025-11-14 Josias Old , Juval Bechar , Markus Müller , Sascha Heußen

Integrating Large Language Models (LLMs) with quantum computing is a critical challenge, hindered by the severe constraints of Noisy Intermediate-Scale Quantum (NISQ) devices, including barren plateaus and limited coherence. Current…

Quantum Physics · Physics 2025-08-12 Yi Pan , Hanqi Jiang , Junhao Chen , Yiwei Li , Huaqin Zhao , Lin Zhao , Yohannes Abate , Yingfeng Wang , Tianming Liu

There has been a growing interest in realizing quantum simulators for physical systems where perturbative methods are ineffective. The scalability and flexibility of circuit quantum electrodynamics (cQED) make it a promising platform to…

In lattice QCD it is possible, in principle, to determine the parameters in the effective chiral lagrangian (including weak interaction couplings) by performing numerical simulations in the $\epsilon$--regime, i.e. at quark masses where the…

High Energy Physics - Lattice · Physics 2011-07-19 L. Giusti , C. Hoelbling , M. Lüscher , H. Wittig

A modern Fortran implementation of three Dirac operators (Wilson, Brillouin, Susskind) in lattice QCD is presented, based on OpenMP shared-memory parallelization and SIMD pragmas. The main idea is to apply a Dirac operator to $N_v$ vectors…

High Energy Physics - Lattice · Physics 2021-12-30 Stephan Durr

We explore three-nucleon forces (3NF) from lattice QCD simulations. Utilizing the Nambu-Bethe-Salpeter (NBS) wave function, two-nucleon forces (2NF) and 3NF are determined on the same footing. Quantum numbers of the three-nucleon (3N)…

High Energy Physics - Lattice · Physics 2011-12-20 Takumi Doi , for HAL QCD Collaboration

We review recent progress in hadron structure using lattice QCD simulations, with main focus in the evaluation of nucleon quantities such as the axial and tensor charges, and the spin con- tent of the nucleon, using simulations at pion…

High Energy Physics - Lattice · Physics 2015-11-24 Martha Constantinou

We explored the possible benefits of integrating quantum simulators in a "hybrid" quantum machine learning (QML) workflow that uses both classical and quantum computations in a high-performance computing (HPC) environment. Here, we used two…

Emerging Technologies · Computer Science 2024-07-11 Samuel T. Bieberich , Michael A. Sandoval

Reducing memory traffic is critical to accelerate Lattice QCD computations on modern processors, given that such computations are memory-bandwidth bound. A commonly used strategy is mixed-precision solvers, however, these require careful…

High Energy Physics - Lattice · Physics 2023-02-21 M. A. Clark , Dean Howarth , Jiqun Tu , Mathias Wagner , Evan Weinberg

Lattice QCD simulations are computationally expensive, with the solution of the Dirac equation being the major computational bottleneck of many calculations. We introduce a novel gauge-equivariant neural-network architecture for…

High Energy Physics - Lattice · Physics 2026-04-23 Simon Pfahler , Daniel Knüttel , Christoph Lehner , Tilo Wettig

In order to achieve error rates necessary for advantageous quantum algorithms, Quantum Error Correction (QEC) will need to be employed, improving logical qubit fidelity beyond what can be achieved physically. As today's devices begin to…

Fluid simulations, especially at high Reynolds numbers, are computationally expensive on classical computers, making them promising application targets for quantum computing. Recent studies have combined the lattice Boltzmann method (LBM)…

Quantum Physics · Physics 2026-05-28 Kazumasa Ueno , Keita Kanno , Yasunori Lee

Efficient implementations of the classical molecular dynamics (MD) method for Lennard-Jones particle systems are considered. Not only general algorithms but also techniques that are efficient for some specific CPU architectures are also…

Statistical Mechanics · Physics 2015-03-17 H. Watanabe , M. Suzuki , N. Ito