The cavity loss rate from the Fock state |k = 1⟩ to the Fock state |k = 0⟩ is Γ, and the effective loss rate from the Fock state |k = 2⟩ to the Fock state |k = 1⟩ is 2Γ due to √ k in â (see Eq. 43 and the second term in Eq. 44). For the L-PLDM implementation (algorithm in Eq. 27-Eq. 28), we treat each of the term in Eq. 44 as the separate loss channel as