论文标题
国家依赖的猪棍限制及其近似
State-dependent Trotter Limits and their approximations
论文作者
论文摘要
Trotter产品公式是量子系统数值模拟中的关键工具。但是，计算机无法处理连续的自由度，例如分子中颗粒的位置或电磁场的幅度。因此，有必要离散这些变量以使它们适合数字模拟。在这里，我们提供了足够的条件来结论这种近似离散的物理学的有效性。从本质上讲，这取决于状态依赖的猪tro误，我们为其建立了也具有独立利益的明确界限。
The Trotter product formula is a key instrument in numerical simulations of quantum systems. However, computers cannot deal with continuous degrees of freedom, such as the position of particles in molecules, or the amplitude of electromagnetic fields. It is therefore necessary to discretize these variables to make them amenable to digital simulations. Here, we give sufficient conditions to conclude the validity of this approximate discretized physics. Essentially, it depends on the state-dependent Trotter error, for which we establish explicit bounds that are also of independent interest.
