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Lattice field theory, along with its algorithmic and hardware ecosystems, has been at the forefront of computational particle and nuclear physics. It continues to deliver impressive results on the hadronic spectrum, structure, decays, and…

High Energy Physics - Lattice · Physics 2026-05-21 Zohreh Davoudi

Formulating gauge theories on a lattice offers a genuinely non-perturbative way of studying quantum field theories, and has led to impressive achievements. In particular, it significantly deepened our understanding of quantum…

High Energy Physics - Lattice · Physics 2020-10-16 Mari Carmen Bañuls , Krzysztof Cichy

In these proceedings, we review recent advances in applying quantum computing to lattice field theory. Quantum computing offers the prospect to simulate lattice field theories in parameter regimes that are largely inaccessible with the…

High Energy Physics - Lattice · Physics 2023-08-10 Lena Funcke , Tobias Hartung , Karl Jansen , Stefan Kühn

Lattice gauge theories, which originated from particle physics in the context of Quantum Chromodynamics (QCD), provide an important intellectual stimulus to further develop quantum information technologies. While one long-term goal is the…

Quantum simulation of Lattice Gauge Theories has been proposed and used as a method to overcome theoretical difficulties in dealing with the non-perturbative nature of such models. In this work we focus on two important bottlenecks that…

Quantum Physics · Physics 2023-08-09 Guy Pardo , Tomer Greenberg , Aryeh Fortinsky , Nadav Katz , Erez Zohar

One of the methods proposed in the last years for studying non-perturbative gauge theory physics is quantum simulation, where lattice gauge theories are mapped onto quantum devices which can be built in the laboratory, or quantum computers.…

High Energy Physics - Lattice · Physics 2024-04-02 Judy Shir , Erez Zohar

It is widely anticipated that a large-scale quantum computer will offer an evermore accurate simulation of nature, opening the floodgates for exciting scientific breakthroughs and technological innovations. Here, we show a complete,…

Quantum Physics · Physics 2022-01-27 Angus Kan , Yunseong Nam

The many-body problem is ubiquitous in the theoretical description of physical phenomena, ranging from the behavior of elementary particles to the physics of electrons in solids. Most of our understanding of many-body systems comes from…

Quantum Gases · Physics 2016-09-16 M. Dalmonte , S. Montangero

Numerical simulations have become an important tool to understand and predict non-perturbative phenomena in particle physics. In this article we attempt to present a general overview over the field. First, the basic concepts of lattice…

High Energy Physics - Lattice · Physics 2010-12-17 F. Karsch , E. Laermann

Lattice gauge theories in varying dimensions, lattice volumes, and truncations offer a rich family of targets for Hamiltonian simulation on quantum devices. In return, formulating quantum simulations can provide new ways of thinking about…

Can high energy physics be simulated by low-energy, non-relativistic, many-body systems, such as ultracold atoms? Such ultracold atomic systems lack the type of symmetries and dynamical properties of high energy physics models: in…

Quantum Physics · Physics 2015-12-29 Erez Zohar , J. Ignacio Cirac , Benni Reznik

Quantum simulations of High Energy Physics, and especially of gauge theories, is an emerging and exciting direction in quantum simulations. However, simulations of such theories, compared to simulations of condensed matter physics, must…

Quantum Physics · Physics 2013-08-29 Erez Zohar , J. Ignacio Cirac , Benni Reznik

Currently, there are intense experimental efforts to realize lattice gauge theories in quantum simulators. Except for specific models, however, practical quantum simulators can never be fine-tuned to perfect local gauge invariance. There is…

Quantum Gases · Physics 2020-07-22 Jad C. Halimeh , Philipp Hauke

In this article, we review some of the recent developments towards the future goal of quantum computing or quantum simulating lattice QCD. This includes a novel theoretical framework developed for non-Abelian gauge theories that is the…

High Energy Physics - Lattice · Physics 2021-07-21 Indrakshi Raychowdhury

Recent advances in quantum technologies have enabled quantum simulation of gauge theories -- some of the most fundamental frameworks of nature -- in regimes far from equilibrium, where classical computation is severely limited. These…

Quantum Physics · Physics 2025-09-05 Jad C. Halimeh , Niklas Mueller , Johannes Knolle , Zlatko Papić , Zohreh Davoudi

Gauge theory is the framework of the Standard Model of particle physics and is also important in condensed matter physics. As its major non-perturbative approach, lattice gauge theory is traditionally implemented using Monte Carlo…

Quantum Physics · Physics 2020-09-03 Xiaopeng Cui , Yu Shi , Ji-Chong Yang

Gauge theories represent a fundamental framework underlying modern physics, constituting the basis of the Standard Model and also providing useful descriptions of various phenomena in condensed matter. Realizing gauge theories on accessible…

Quantum Gases · Physics 2023-10-20 Jad C. Halimeh , Monika Aidelsburger , Fabian Grusdt , Philipp Hauke , Bing Yang

Lattice gauge theories describe fundamental phenomena in nature, but calculating their real-time dynamics on classical computers is notoriously difficult. In a recent publication [Nature 534, 516 (2016)], we proposed and experimentally…

In the present work, we propose a scheme for digital formulation of lattice gauge theories with dynamical fermions in 3+1 dimensions. All interactions are obtained as a stroboscopic sequence of two-body interactions with an auxiliary…

Quantum Physics · Physics 2018-10-25 Julian Bender , Erez Zohar , Alessandro Farace , J. Ignacio Cirac

We discuss the implementation of lattice gauge theories on digital quantum computers, focusing primarily on the number of quantum gates required to simulate their time evolution. We find that to compile quantum circuits, using available…

High Energy Physics - Lattice · Physics 2022-11-23 Edison M. Murairi , Michael J. Cervia , Hersh Kumar , Paulo F. Bedaque , Andrei Alexandru
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