发表机构
Department of Physics, University of Illinois（伊利诺伊大学物理系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
针对格点规范理论量子模拟的 plaquette 算子标度壁垒问题，在 irrep 基中提出高效块编码方法，消除了该壁垒，为相关量子模拟提供了可行方案。
AI 中文摘要
格点量子色动力学（lattice QCD）这类规范理论是量子模拟的复杂问题。在哈密顿量的电部分简单的基中，磁部分通常表示为格点的 plaquette 算子之和，十分复杂，会在多个 link 和 site 自由度间产生关联跃迁。我们在 irrep 基中对 plaquette 算子提出高效块编码，该基是电基的改进形式，其中内部规范可变自由度已被积分掉。该构造消除了 plaquette 矩阵元的标度壁垒，这是其他方法在该基中面临的重大障碍。该算法利用了矩阵元的便利分解特性、廉价的经典预计算，以及由查找表和编程旋转构建的量子预言机。
英文摘要
Gauge theories like lattice QCD present a complex problem for quantum simulation. In a basis where the electric part of the Hamiltonian is simple, the magnetic part, generally expressed as a sum over the plaquette operators of the lattice, is quite complicated, producing correlated transitions between several link and site degrees of freedom. We provide an efficient block encoding of the plaquette operator in the irrep basis, a refinement of the electric basis where the internal gauge-variant degrees of freedom are integrated out. The construction removes the plaquette matrix element scaling wall which has been a significant barrier for other approaches in this basis. The algorithm leverages a convenient factorization property of the matrix elements, cheap classical precomputation, and quantum oracles built from lookup tables and programmed rotations.
Comments35 pages. v2: fixed a bug in the corner stage, minor impact on resource cost; added a section on explicit circuit construction; circuits available as qasm files from https://github.com/pidraper/magnetic-oracle , including sparse simulation script validating the block encoding against the target matrix elements
