Singularity of dynamical maps
Singularity of dynamical maps
For a dynamical map $\ensuremath{\Lambda}(t,0)$, which sends a state $\ensuremath{\rho}(0)$ of a quantum open system to a state $\ensuremath{\rho}(t)=\ensuremath{\Lambda}(t,0)\ensuremath{\rho}(0)$, the decomposition law $\ensuremath{\Lambda}(t,0)=\ensuremath{\Lambda}(t,{t}_{c})\ensuremath{\Lambda}({t}_{c},0)$ may break down at a specific time ${t}_{c}$. In this paper, we present a method to find the singular points ${t}_{c}$ and propose a measure for the …