“…After tracing out the environmental degrees of freedom 56 , we have the reduced density matrix ρ which is associated with , , and . For a weak coupling between the qutrit and the environment 57 , by taking the Born-Markov approximation, the dynamical evolution of ρ can be characterized by the Lindblad-type master equation 58 – 60 in which the first term governs the unitary evolution subject to a Λ-type driving, and the second term 47 contains the possible relaxations and dephasing effects caused by the noisy environment. Here γ ( kl ) and are the relaxation rate and dephasing rate regarding states and , respectively, and , with and .…”