论文标题
光谱定理方法的量子可观察功能的特征功能
Spectral Theorem approach to the Characteristic Function of Quantum Observables
论文作者
论文摘要
Using the spectral theorem we compute the Quantum Fourier Transform (or Vacuum Characteristic Function) $\langle Φ, e^{itH}Φ\rangle$ of an observable $H$ defined as a self-adjoint sum of the generators of a finite-dimensional Lie algebra, where $Φ$ is a unit vector in a Hilbert space $\mathcal{H}$.我们展示了Stone的计算Hilbert Space自我接触操作员光谱分辨率的公式，可以替代传统依赖对操作员指数的分裂（或分离）公式的依赖。
Using the spectral theorem we compute the Quantum Fourier Transform (or Vacuum Characteristic Function) $\langle Φ, e^{itH}Φ\rangle$ of an observable $H$ defined as a self-adjoint sum of the generators of a finite-dimensional Lie algebra, where $Φ$ is a unit vector in a Hilbert space $\mathcal{H}$. We show how Stone's formula for computing the spectral resolution of a Hilbert space self-adjoint operator, can serve as an alternative to the traditional reliance on splitting (or disentanglement) formulas for the operator exponential.
