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The postulate of gauge invariance in nature does not lend itself directly to implementations of lattice gauge theories in modern setups of quantum synthetic matter. Unavoidable gauge-breaking errors in such devices require gauge invariance…

This work investigates the application of quantum simulation in the ongoing "second" quantum revolution, which employs various synthetic quantum matter platforms, such as ultracold atoms in optical lattices, Rydberg atoms, and…

Quantum Physics · Physics 2024-03-25 Bhavik Kumar

Recent advancements in the field of quantum simulation have significantly expanded the potential for applications, particularly in the context of lattice gauge theories (LGTs). Maintaining gauge invariance throughout a simulation remains a…

Quantum Gases · Physics 2025-06-18 Gaia De Paciani , Lukas Homeier , Jad C. Halimeh , Monika Aidelsburger , Fabian Grusdt

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

Quantum-simulator hardware promises new insights into problems from particle and nuclear physics. A major challenge is to reproduce gauge invariance, as violations of this quintessential property of lattice gauge theories can have dramatic…

Quantum Physics · Physics 2022-12-07 Jad C. Halimeh , Haifeng Lang , Julius Mildenberger , Zhang Jiang , Philipp Hauke

Efficient quantum simulation protocols for any quantum theories demand efficient protection protocols for its underlying symmetries. This task is nontrivial for gauge theories as it is involves local symmetry/invariance. For non-Abelian…

High Energy Physics - Lattice · Physics 2022-10-05 Emil Mathew , Indrakshi Raychowdhury

We present a strategy for the quantum simulation of many-body lattice models with constrained Hilbert spaces. We focus on lattice gauge theories (LGTs), which underlie a wide range of phenomena in particle physics, condensed matter, and…

Quantum Physics · Physics 2026-04-14 Zhanpeng Fu , Wei Zheng , Roderich Moessner , Marin Bukov , Hongzheng Zhao

Simulations of lattice gauge theories on noisy quantum hardware inherently suffer from violations of the gauge symmetry due to coherent and incoherent errors of the underlying physical system that implements the simulation. These gauge…

Quantum Physics · Physics 2024-07-03 Tobias Schmale , Hendrik Weimer

Quantum simulation is at the heart of the ongoing "second" quantum revolution, with various synthetic quantum matter platforms realizing evermore exotic condensed matter and particle physics phenomena at high levels of precision and…

Quantum Gases · Physics 2022-05-02 Jad C. Halimeh , Philipp Hauke

Simulations of field theories on noisy quantum computers must contend with errors introduced by that noise. For gauge theories, a large class of errors violate gauge symmetry, and thus may result in unphysical processes occurring in the…

Quantum Physics · Physics 2020-05-27 Henry Lamm , Scott Lawrence , Yukari Yamauchi

Protection of gauge invariance in experimental realizations of lattice gauge theories based on energy-penalty schemes has recently stimulated impressive efforts both theoretically and in setups of quantum synthetic matter. A major challenge…

Quantum Gases · Physics 2022-12-07 Jad C. Halimeh , Haifeng Lang , Philipp Hauke

Lattice Gauge Theories form a very successful framework for studying nonperturbative gauge field physics, in particular in Quantum Chromodynamics. Recently, their quantum simulation on atomic and solid-state platforms has been discussed,…

Quantum Physics · Physics 2020-03-04 Erez Zohar

In the current drive to quantum-simulate evermore complex gauge-theory phenomena, it is necessary to devise schemes allowing for the control and suppression of unavoidable gauge-breaking errors on different experimental platforms. Although…

Quantum Physics · Physics 2022-10-14 Bhavik Kumar , Philipp Hauke , Jad C. Halimeh

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

Quantum simulation of the dynamics of a lattice gauge theory demands imposing on-site constraints. Ideally, the dynamics remain confined within the physical Hilbert space, where all the states satisfy those constraints. For non-Abelian…

High Energy Physics - Lattice · Physics 2024-04-19 Emil Mathew , Indrakshi Raychowdhury

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

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

In the quantum simulation of lattice gauge theories, gauge symmetry can be either fixed or encoded as a redundancy of the Hilbert space. While gauge-fixing reduces the number of qubits, keeping the gauge redundancy can provide code space to…

High Energy Physics - Lattice · Physics 2024-02-27 Marcela Carena , Henry Lamm , Ying-Ying Li , Wanqiang Liu

Quantum simulation of non-Abelian gauge theories requires careful handling of gauge redundancy. We address this challenge by presenting universal principles for treating gauge symmetry that apply to any quantum simulation approach,…

Quantum Physics · Physics 2026-03-06 Masanori Hanada , Shunji Matsuura , Andreas Schafer , Jinzhao Sun

A central requirement for the faithful implementation of large-scale lattice gauge theories (LGTs) on quantum simulators is the protection of the underlying gauge symmetry. Recent advancements in the experimental realizations of large-scale…

Quantum Gases · Physics 2024-10-08 Jad C. Halimeh , Lukas Homeier , Annabelle Bohrdt , Fabian Grusdt
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