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 chromodynamics. Yet, some very relevant problems remain inherently challenging, such as real time evolution, or the presence of a chemical potential, cases in which Monte Carlo simulations are hindered by a sign problem. In the last few years, a number of possible alternatives have been put forward, based on quantum information ideas, which could potentially open the access to areas of research that have so far eluded more standard methods. They include tensor network calculations, quantum simulations with different physical platforms and quantum computations, and constitute nowadays a vibrant research area. Experts from different fields, including experimental and theoretical high energy physics, condensed matter, and quantum information, are turning their attention to these interdisciplinary possibilities, and driving the progress of the field. The aim of this article is to review the status and perspectives of these new avenues for the exploration of lattice gauge theories.

中文翻译：

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格子规范理论新方法综述

在晶格上制定规范理论为研究量子场论提供了一种真正的非微扰方式，并取得了令人瞩目的成就。特别是，它大大加深了我们对量子色动力学的理解。然而，一些非常相关的问题仍然具有固有的挑战性，例如实时演化或化学势的存在，在这些情况下，蒙特卡罗模拟受到符号问题的阻碍。在过去几年中，基于量子信息思想提出了许多可能的替代方案，这可能会打开迄今为止尚未采用更多标准方法的研究领域。它们包括张量网络计算、不同物理平台的量子模拟和量子计算，构成了当今一个充满活力的研究领域。来自不同领域的专家，包括实验和理论高能物理、凝聚态物质和量子信息，正在将注意力转向这些跨学科的可能性，并推动该领域的进步。本文的目的是回顾这些探索格子规范理论的新途径的现状和前景。