The initial-state dependence of the quantum speed limit
Shao-xiong Wu, Yang Zhang, Chang-shui Yu, He-shan Song · Journal of Physics A Mathematical and Theoretical · 2014
The generic bound of quantum speed limit time (the minimal evolution time) for a qubit system interacting with a structural environment is investigated. We define a new bound for the quantum speed limits. It is shown that the non-Markovianity and the population of the excited state can fail to signal the quantum evolution acceleration, but the initial-state dependence is an important factor. In particular, we find that different quantum speed limits could produce contradictory predictions on the quantum evolution acceleration.