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The fast Fourier transform, FFT, is a useful and prevalent algorithm in signal processing. It characterizes the spectral components of a signal, or is used in combination with other operations to perform more complex computations such as…

信号处理 · 电气工程与系统科学 2017-11-08 Hani Nejadriahi , David HillerKuss , Jonathan K. George , Volker J. Sorger

The calculation of physical quantities by lattice QCD simulations requires in some important cases the determination of the inverse of a very large matrix. In this article we describe how stochastic estimator methods can be applied to this…

高能物理 - 格点 · 物理学 2007-05-23 S. Güsken

We present a photonic integrated circuit architecture for a quantum programmable gate array (QPGA) capable of preparing arbitrary quantum states and operators. The architecture consists of a lattice of phase-modulated Mach-Zehnder…

量子物理 · 物理学 2020-04-29 Ben Bartlett , Shanhui Fan

Quantum computers offer the potential to simulate nuclear processes that are classically intractable. With the goal of understanding the necessary quantum resources to realize this potential, we employ state-of-the-art…

Scalar diffraction calculations such as the angular spectrum method (ASM) and Fresnel diffraction, are widely used in the research fields of optics, X-rays, electron beams, and ultrasonics. It is possible to accelerate the calculation using…

We propose a novel, machine-learning-based framework for constructing lattice fermions using Physics-Informed Neural Networks (PINNs). Our approach treats the formulation of the Dirac operator as an optimization problem guided by physical…

高能物理 - 格点 · 物理学 2026-05-14 Tatsuhiro Misumi

The article presents a computationally effective algorithm for calculating the multiresolution discrete Fourier transform (MrDFT). The algorithm is based on the idea of reducing the computational complexity which was introduced by Wen and…

数据结构与算法 · 计算机科学 2015-07-10 Bartosz Andreatto , Aleksandr Cariow

Photonic bandgap engineering using aperiodic lattices (ALs) is systematically studied. Up to now ALs have tended to be defined by specific formulae (e.g. Fibonacci, Cantor), and theories have neglected other useful ALs along with the vast…

光学 · 物理学 2007-05-23 Subhasish Chakraborty , Michael C. Parker , Robert J. Mears

We investigate the feasibility of combining Raman optical lattices with a quantum computing architecture based on lattice-confined magnetically interacting neutral atoms. A particular advantage of the standing Raman field lattices comes…

量子物理 · 物理学 2009-11-13 Boris Ravaine , Andrei Derevianko , P. R. Berman

Universal unitary photonic devices can apply arbitrary unitary transformations to a vector of input modes and provide a promising hardware platform for fast and energy-efficient machine learning using light. We simulate the gradient-based…

信号处理 · 电气工程与系统科学 2019-06-26 Sunil Pai , Ben Bartlett , Olav Solgaard , David A. B. Miller

Lattice reduction algorithms, such as the LLL algorithm, have been proposed as preprocessing tools in order to enhance the performance of suboptimal receivers in MIMO communications. In this paper we introduce a new kind of lattice…

信息论 · 计算机科学 2010-01-12 Laura Luzzi , Ghaya Rekaya-Ben Othman , Jean-Claude Belfiore

Gauge fixing is an essential step in lattice QCD calculations, particularly for studying gauge-dependent observables. Traditional iterative algorithms are computationally expensive and often suffer from critical slowing down and scaling…

高能物理 - 格点 · 物理学 2026-03-05 Ho Hsiao , Benjamin J. Choi , Hiroshi Ohno , Akio Tomiya

Lattice gauge theories (LGTs) provide a powerful framework for studying non-perturbative phenomena in gauge theories. However, conventional approaches such as Monte Carlo (MC) simulations in imaginary time are limited, as they do not allow…

高能物理 - 格点 · 物理学 2025-12-17 Itay Gomelski , Jonathan Elyovich , Ariel Kelman , Erez Zohar , Patrick Emonts

An improved approach to updating the electric field in simulations of Coulomb gases using the local lattice technique introduced by Maggs and Rossetto, is described and tested. Using the Fast Fourier Transform (FFT) an independent…

其他凝聚态物理 · 物理学 2009-11-11 A. Duncan , R. D. Sedgewick , R. D. Coalson

Knowledge on evolving physical fields is of paramount importance in science, technology, and economics. Dynamical field inference (DFI) addresses the problem of reconstructing a stochastically driven, dynamically evolving field from finite…

量子物理 · 物理学 2021-12-22 Margret Westerkamp , Igor Ovchinnikov , Philipp Frank , Torsten Enßlin

The phase-integral method (PIM) is an asymptotic method of the geometrical optics or semi-classical type for solving approximately, but in many cases very accurately, a wide class of differential equations in physics. Unlike the related…

数学物理 · 物理学 2010-01-05 S. Yngve , B. Thidé

Quantum mutual information is an important tool for characterizing correlations in quantum many-body systems, but its numerical evaluation is often prohibitively expensive. While some variants of R\'enyi Mutual Information (RMI) are…

We present a state-of-the-art calculation of the unpolarized pion valence-quark distribution in the framework of large-momentum effective theory (LaMET) with improved handling of systematic errors as well as two-loop perturbative matching.…

高能物理 - 格点 · 物理学 2024-04-24 Jack Holligan , Huey-Wen Lin

Optimizing shapes and topology of physical devices is crucial for both scientific and technological advancements, given its wide-ranging implications across numerous industries and research areas. Innovations in shape and topology…

计算物理 · 物理学 2023-10-02 Alexander Luce , Rasoul Alaee , Fabian Knorr , Florian Marquardt

Quantum computing has brought a paradigm change in computer science, where non-classical technologies have promised to outperform their classical counterpart. Such an advantage was only demonstrated for tasks without practical applications,…