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We construct lattice gauge theories in which the elements of the link matrices are represented by non-commuting operators acting in a Hilbert space. These quantum link models are related to ordinary lattice gauge theories in the same way as…

High Energy Physics - Lattice · Physics 2015-06-25 S. Chandrasekharan , U. -J. Wiese

Although gauge invariance is a postulate in fundamental theories of nature such as quantum electrodynamics, in quantum-simulation implementations of gauge theories it is compromised by experimental imperfections. In a recent work [Halimeh…

Quantum Gases · Physics 2023-01-31 Maarten Van Damme , Haifeng Lang , Philipp Hauke , Jad C. Halimeh

The universality of the continuum limit and the applicability of renormalized perturbation theory are tested in the SU(2) lattice gauge theory by computing two different non-perturbatively defined running couplings over a large range of…

High Energy Physics - Lattice · Physics 2009-10-22 G. de Divitiis , R. Frezzotti , M. Guagnelli , M. Luescher , R. Petronzio , R. Sommer , P. Weisz , U. Wolff

High dimensional integrals are abundant in many fields of research including quantum physics. The aim of this paper is to develop efficient recursive strategies to tackle a class of high dimensional integrals having a special product…

Numerical Analysis · Mathematics 2021-07-28 Tobias Hartung , Karl Jansen , Frances Y. Kuo , Hernan Leövey , Dirk Nuyens , Ian H. Sloan

The fundamental particle theory called Quantum Chromodynamics (QCD) dictates everything about protons and neutrons, from their intrinsic properties to interactions that bind them into atomic nuclei. Quantities that cannot be fully resolved…

According to the present understanding, the observed diversity of the strong interaction phenomena is described by Quantum Chromodynamics, a gauge field theory with only very few parameters. One of the fundamental questions in this context…

High Energy Physics - Phenomenology · Physics 2009-11-07 Martin Lüscher

Lattice gauge theories (LGTs) form an intriguing class of theories highly relevant to both high-energy particle physics and low-energy condensed matter physics with the rapid development of engineered quantum devices providing new tools to…

High Energy Physics - Lattice · Physics 2022-06-22 Rasmus Berg Jensen , Simon Panyella Pedersen , Nikolaj Thomas Zinner

A major objective of the strong ongoing drive to realize quantum simulators of gauge theories is achieving the capability to probe collider-relevant physics on them. In this regard, a highly pertinent and sought-after application is the…

Quantum Gases · Physics 2025-07-22 Guo-Xian Su , Jesse Osborne , Jad C. Halimeh

A precise lattice determination of the equation of state in SU(3) Yang-Mills theory is carried out by means of a simulation algorithm, based on Jarzynski's theorem, that allows one to compute physical quantities in thermodynamic…

High Energy Physics - Lattice · Physics 2018-09-24 Michele Caselle , Alessandro Nada , Marco Panero

Recently, quantum simulation of low-dimensional lattice gauge theories (LGTs) has attracted many interests, which may improve our understanding of strongly correlated quantum many-body systems. Here, we propose an implementation to…

Quantum Gases · Physics 2022-02-10 Zi-Yong Ge , Rui-Zhen Huang , Zi Yang Meng , Heng Fan

The exploration of phase diagrams of strongly interacting gauge theories coupled to matter in lower dimensions promises the identification of exotic phases and possible new universality classes, and it facilitates a better understanding of…

Strongly Correlated Electrons · Physics 2022-08-17 Tomohiro Hashizume , Jad C. Halimeh , Philipp Hauke , Debasish Banerjee

The quantum simulation of dynamical gauge field theories offers the opportunity to study complex high-energy physics with controllable low-energy devices. For quantum computation, bosonic codes promise robust error correction that exploits…

Quantum Physics · Physics 2023-05-10 Javier del Pino , Oded Zilberberg

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

In recent years, the quantum computing method has been used to address the sign problem in traditional Monte Carlo lattice gauge theory (LGT) simulations. We propose that the Coulomb gauge (CG) should be used in quantum simulations of LGT.…

High Energy Physics - Lattice · Physics 2025-09-08 Tianyin Li

Quantum simulations of lattice gauge theories for the foreseeable future will be hampered by limited resources. The historical success of improved lattice actions in classical simulations strongly suggests that Hamiltonians with improved…

High Energy Physics - Lattice · Physics 2022-08-23 Marcela Carena , Henry Lamm , Ying-Ying Li , Wanqiang Liu

A framework for quantum simulations of real-time weak decays of hadrons and nuclei in a 2-flavor lattice theory in one spatial dimension is presented. A single generation of the Standard Model is found to require 16 qubits per spatial…

The one-dimensional quantum breakdown model, which features spatially asymmetric fermionic interactions simulating the electrical breakdown phenomenon, exhibits an exponential U(1) symmetry and a variety of dynamical phases including…

Strongly Correlated Electrons · Physics 2024-08-27 Yu-Min Hu , Biao Lian

We connect explicitly the classical $O(2)$ model in 1+1 dimensions, a model sharing important features with $U(1)$ lattice gauge theory, to physical models potentially implementable on optical lattices and evolving at physical time. Using…

High Energy Physics - Lattice · Physics 2015-02-11 Haiyuan Zou , Yuzhi Liu , Chen-Yen Lai , J. Unmuth-Yockey , Li-Ping Yang , A. Bazavov , Z. Y. Xie , T. Xiang , S. Chandrasekharan , S. -W. Tsai , Y. Meurice

A key objective in nuclear and high-energy physics is to describe nonequilibrium dynamics of matter, e.g., in the early universe and in particle colliders, starting from the Standard Model. Classical-computing methods, via the framework of…

Quantum computation represents an emerging framework to solve lattice gauge theories (LGT) with arbitrary gauge groups, a general and long-standing problem in computational physics. While quantum computers may encode LGT using only…

Quantum Physics · Physics 2022-01-21 Giulia Mazzola , Simon V. Mathis , Guglielmo Mazzola , Ivano Tavernelli