Figure 2

The QSLT for the general mixed states.
In the Methods section, we have obtained the QSLT for the qubit to evolve from ρτ to in the damped Jaynes-Cummings model with the specific form
. From the expression of
, it is easy to show that
is relate to vz and the coherence
of the initial state. So this figure describe the speed of the qubit dynamics process starting from the general mixed initial states in the damped Jaynes-Cummings model in the Markovian regime (γ0 = 0.1λ). Parameters are ω0 = 1, λ = 1 and τD = 1.