标题： 剪切方法用于规范不变的Trotter化 显示英文标题

标题： Shearing approach to gauge-invariant Trotterization

摘要： 通用量子模拟规范场理论在无法使用可用门集精确编译所需操作时，可能会面临规范对称性破坏的风险。 在本文中，我们展示了如何在阿贝尔规范理论中编译时间演化过程——即使只是近似地——而不损害规范不变性，通过图形化论证一种块对角化过程。 当规范不变的相互作用与离散量子数空间中的“空间网络”相关联时，可以看出，对空间网络进行循环剪切可以将许多量子数的同时更新转换为单个量子数的条件更新；最终，这消除了任何需要经过（并获得重叠）非物理中间配置的必要性。 剪切被显式应用于格点量子电动力学中的规范-物质和磁相互作用。 使剪切成功保持阿贝尔规范对称性的特征也可能存在于非阿贝尔理论中，这使人们更接近量子色动力学的规范不变模拟。 显示英文摘要

摘要： Universal quantum simulations of gauge field theories are exposed to the risk of gauge symmetry violations when it is not known how to compile the desired operations exactly using the available gate set. In this article, we show how time evolution can be compiled in an Abelian gauge theory -- if only approximately -- without compromising gauge invariance, by graphically motivating a block-diagonalization procedure. When gauge-invariant interactions are associated with a "spatial network" in the space of discrete quantum numbers, it is seen that cyclically shearing the spatial network converts simultaneous updates to many quantum numbers into conditional updates of a single quantum number; ultimately, this eliminates any need to pass through (and acquire overlap onto) unphysical intermediate configurations. Shearing is explicitly applied to gauge-matter and magnetic interactions of lattice quantum electrodynamics. The features that make shearing successful at preserving Abelian gauge symmetry may also be found in non-Abelian theories, bringing one closer to gauge-invariant simulations of quantum chromodynamics.