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Many phenomena occurring in strongly correlated quantum systems still await conclusive explanations. The absence of isolated free quarks in nature is an example. It is attributed to quark confinement, whose origin is not yet understood. The…

量子气体 · 物理学 2013-10-31 L. Tagliacozzo , A. Celi , P. Orland , M. W. Mitchell , M. Lewenstein

In the past decade we have witnessed remarkable developments in the gauge-gravity duality, which suggested a new approach to superstring theory and quantum space-time. In this context it is important to study supersymmetric large-N gauge…

高能物理 - 格点 · 物理学 2010-11-05 Jun Nishimura

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…

量子物理 · 物理学 2026-04-14 Zhanpeng Fu , Wei Zheng , Roderich Moessner , Marin Bukov , Hongzheng Zhao

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.…

高能物理 - 格点 · 物理学 2024-04-02 Judy Shir , Erez Zohar

The Fermi-Hubbard model is one of the central paradigms in the physics of strongly-correlated quantum many-body systems. Here we propose a quantum circuit algorithm based on the $\mathrm{Z}_2$ lattice gauge theory (LGT) representation of…

量子物理 · 物理学 2023-11-09 Uliana E. Khodaeva , Dmitry L. Kovrizhin , Johannes Knolle

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.…

高能物理 - 格点 · 物理学 2025-09-08 Tianyin Li

Gauge theories are the cornerstone of our understanding of fundamental interactions among particles. Their properties are often probed in dynamical experiments, such as those performed at ion colliders and high-intensity laser facilities.…

While universal quantum computers remain under development, analog quantum simulators offer a powerful alternative for understanding complex systems in condensed matter, chemistry, and high-energy physics. One compelling application is the…

We propose a protocol for the scalable quantum simulation of SU($N$)$\times$U(1) lattice gauge theories with alkaline-earth like atoms in optical lattices in both one- and two-dimensional systems. The protocol exploits the combination of…

量子气体 · 物理学 2024-05-27 Federica Maria Surace , Pierre Fromholz , Francesco Scazza , Marcello Dalmonte

Locally constrained gauge theories underpin our understanding of fundamental interactions in particle physics and the emergent behaviour of quantum materials. In strongly correlated systems, they can give rise to quantum spin liquids that…

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…

高能物理 - 格点 · 物理学 2024-04-19 Emil Mathew , Indrakshi Raychowdhury

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…

高能物理 - 格点 · 物理学 2021-07-21 Indrakshi Raychowdhury

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…

量子气体 · 物理学 2022-02-10 Zi-Yong Ge , Rui-Zhen Huang , Zi Yang Meng , Heng Fan

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…

量子气体 · 物理学 2024-10-08 Jad C. Halimeh , Lukas Homeier , Annabelle Bohrdt , Fabian Grusdt

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…

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…

高能物理 - 格点 · 物理学 2024-02-27 Marcela Carena , Henry Lamm , Ying-Ying Li , Wanqiang Liu

Gauge symmetry plays a key role in our description of subatomic matter. The vanishing photon mass, the long-ranged Coulomb law, and asymptotic freedom are all due to gauge invariance. Recent years have seen tantalizing progress in the…

量子气体 · 物理学 2020-10-16 Maarten Van Damme , Jad C. Halimeh , Philipp Hauke

Non-abelian gauge theories underlie our understanding of fundamental forces in nature, and developing tailored quantum hardware and algorithms to simulate them is an outstanding challenge in the rapidly evolving field of quantum simulation.…

Is gauge symmetry merely a redundancy in our description, or does it carry a deeper information-theoretic significance? Quantum error-correcting codes (QECCs) show that redundancy can serve as a resource for protecting information against…

量子物理 · 物理学 2026-04-08 Elias Rothlin , Carla Ferradini , Lin-Qing Chen

Lattice gauge theories (LGTs) represent one of the most ambitious goals of quantum simulation. From a practical implementation perspective, non-Abelian theories present significantly tougher challenges than Abelian LGTs. However, it is…