论文标题
简单而高精度的哈密顿模拟，通过与单一操作的线性组合补偿猪肉误差
Simple and high-precision Hamiltonian simulation by compensating Trotter error with linear combination of unitary operations
论文作者
论文摘要
猪猪和线性 - 联合组合（LCU）是两种流行的哈密顿模拟方法。我们建议使用LCU进行汉密尔顿模拟算法来补偿胜利者的误差，这些错误享有它们的两个优势。通过在KTH-ord Trotter之后添加几个门，我们实现了比2kth-terd Trotter更好的时间缩放时间。我们的第一种算法指数级提高了KTH阶猪trotter公式的准确性缩放。在第二种算法中，我们考虑了汉密尔顿人的详细结构，并构建了通过换向器缩放的猪肉误差的LCU。因此，对于晶格哈密顿量，该算法几乎具有线性系统尺寸的依赖性，并四次提高了KTH阶跑步器的准确性。
Trotter and linear-combination-of-unitary (LCU) are two popular Hamiltonian simulation methods. We propose Hamiltonian simulation algorithms using LCU to compensate Trotter error, which enjoy both of their advantages. By adding few gates after the Kth-order Trotter, we realize a better time scaling than 2Kth-order Trotter. Our first algorithm exponentially improves the accuracy scaling of the Kth-order Trotter formula. In the second algorithm, we consider the detailed structure of Hamiltonians and construct LCU for Trotter errors with commutator scaling. Consequently, for lattice Hamiltonians, the algorithm enjoys almost linear system-size dependence and quadratically improves the accuracy of the Kth-order Trotter.
