标题： 量子杨-米尔斯理论：一个计划的概述 显示英文标题

标题： Quantum Yang-Mills theory: an overview of a programme

摘要： 我们从量子信息的角度出发，概述了一个理解量子杨-米尔斯理论低能物理的计划。 我们的设定是在时序规范下纯杨-米尔斯理论的哈密顿形式化在格点上。 首先，受最近对$\mathbb{Z}/2\mathbb{Z}$格点规范理论构造的启发，特别是基塔耶夫的表面码，我们通过引入一个基本的量子门：量子平行传输器，来描述希尔伯特空间的规范不变部分。 然后，我们发展了一种非阿贝尔的拉普拉斯插值方法，以提出一个纯杨-米尔斯理论基态的假设，该假设在弱耦合和强耦合的RG固定点之间进行插值。 所得状态具有张量网络的结构，即多尺度纠缠重正则化假设，并允许高效计算局部可观测量和威尔逊环。 讨论了张量网络的各种改进，导致了几种推广。 最后，描述了当移除格点调节器时，我们假设的连续极限。 本文旨在作为一项正在进行的计划的摘要：仍有许多开放问题。 显示英文摘要

摘要： We present an overview of a programme to understand the low-energy physics of quantum Yang-Mills theory from a quantum-information perspective. Our setting is that of the hamiltonian formulation of pure Yang-Mills theory in the temporal gauge on the lattice. Firstly, inspired by recent constructions for $\mathbb{Z}/2\mathbb{Z}$ lattice gauge theory, in particular, Kitaev's toric code, we describe the gauge-invariant sector of hilbert space by introducing a primitive quantum gate: the quantum parallel transporter. We then develop a nonabelian generalisation of laplace interpolation to present an ansatz for the ground state of pure Yang-Mills theory which interpolates between the weak- and strong-coupling RG fixed points. The resulting state acquires the structure of a tensor network, namely, a multiscale entanglement renormalisation ansatz, and allows for the efficient computation of local observables and Wilson loops. Various refinements of the tensor network are discussed leading to several generalisations. Finally, the continuum limit of our ansatz as the lattice regulator is removed is then described. This paper is intended as an abstract for an ongoing programme: there are still many open problems.