标题： 微扰理论，不可约表示截断以及量子模拟SU(3)格点规范理论的状态制备方法 显示英文标题

标题： Perturbation theory, irrep truncations, and state preparation methods for quantum simulations of SU(3) lattice gauge theory

摘要： 我们研究在量子硬件上高效制备$SU(3)$规范理论近似基态的方法。 在电基的一种变体中，我们引入了一种基于位点单态能量密度的不可约表示截断改进方法，该方法提供了更细致的模拟复杂度分级。 利用强耦合微扰理论作为指导，我们开发了用于基态制备的简单参数电路，并通过在小晶格上的经典模拟进行测试，包括$2\times 2$平面晶格在$d=2$和立方体在$d=3$。 我们将变分方法的状态保真度和资源需求与绝热态制备进行对比，并介绍了一种结合这两种方法的混合方法。 最后，我们报告\texttt{ymcirc}的公开发布——一个用于构建$SU(3)$电路和处理测量的工具包——以及\texttt{pyclebsch}，一个用于高效计算$SU(N)$Clebsch-Gordan 系数的工具包。 显示英文摘要

摘要： We study methods for efficient preparation of approximate ground states of $SU(3)$ lattice gauge theory on quantum hardware. Working in a variant of the electric basis, we introduce a refinement of the irrep truncation based on the energy density of site singlets, which provides a finer gradation of simulation complexity. Using strong-coupling perturbation theory as a guide, we develop simple ansatz circuits for ground state preparation and test them via classical simulation on small lattices, including the $2\times 2$ plaquette lattice in $d=2$ and the cube in $d=3$. We contrast state fidelities and resource requirements of variational methods against adiabatic state preparation and introduce a method that hybridizes the two approaches. Finally, we report on the public release of \texttt{ymcirc} -- a package of tools for building $SU(3)$ circuits and processing measurements -- and \texttt{pyclebsch}, a package for efficiently computing $SU(N)$ Clebsch-Gordan coefficients.