Quantum speed limit from a quantum-state-diffusion method

Characterizing the most efficient evolution, quantum speed limit (QSL) plays a significant role in technology. How to generalize well-established QSL from closed systems open has attracted much attention. In contrast previous schemes derive reduced dynamics of systems, we propose bound point view total system consisting and its environment using quantum-state-diffusion method. The application our scheme two-level reveals that possesses an infinite speedup capacity noiseless case, which is destroyed by under Born-Markovian approximation. It interesting find case recovered non-Markovian as long state formed energy spectrum system. Enriching characterization QSL, result provides way control systems.