论文标题
逼真的连续量子测量的相关功能
Correlation functions for realistic continuous quantum measurement
论文作者
论文摘要
我们建议在连续观察量子系统时测量的信号的$ n $点相关函数的精确公式的独立且可访问的推导。该表达式取决于初始量子状态和控制动力学的随机主方程(SME)。该推导既适用于跳跃和扩散的发展,并考虑了现实测量设备的常见缺陷。我们展示了如何有效地计算这些相关性,以计入实践中可用的常见和集成信号的数值计算。
We propose a self-contained and accessible derivation of an exact formula for the $n$-point correlation functions of the signal measured when continuously observing a quantum system. The expression depends on the initial quantum state and on the Stochastic Master Equation (SME) governing the dynamics. This derivation applies to both jump and diffusive evolutions and takes into account common imperfections of realistic measurement devices. We show how these correlations can be efficiently computed numerically for commonly filtered and integrated signals available in practice.