标题： 格点规范理论精确量子模拟的截断不确定性 显示英文标题

标题： Truncation uncertainties for accurate quantum simulations of lattice gauge theories

摘要： 将格点规范理论编码到量子计算机上需要在每条链接上对规范场的希尔伯特空间进行离散化，这相对于Kogut--Susskind极限会产生误差。 在电荷基下，最近的研究表明希尔伯特空间的碎片化限制了大电场的激发。 在这里，我们利用这一点来开发一种估算电荷基中截断误差大小的形式化方法。 一般来说，截断误差随着场截断的阶乘而减小。 该形式化方法的示例应用于施温格模型和一个纯U(1)格点规范理论。 对于合理的参数选择，我们将之前的误差估计改进了10^{306}倍。 显示英文摘要

摘要： The encoding of lattice gauge theories onto quantum computers requires a discretization of the gauge field's Hilbert space on each link, which presents errors with respect to the Kogut--Susskind limit. In the electric basis, Hilbert space fragmentation has recently been shown to limit the excitation of large electric fields. Here, we leverage this to develop a formalism for estimating the size of truncation errors in the electric basis. Generically, the truncation error falls off as a factorial of the field truncation. Examples of this formalism are applied to the Schwinger model and a pure U(1) lattice gauge theory. For reasonable choices of parameters, we improve on previous error estimates by a factor of 10^{306}.