Continuous variable quantum teleportation in a dissipative environment: Comparison of non-Gaussian operations before and after noisy channel

We explore the relative advantages in continuous-variable quantum teleportation when non-Gaussian operations, namely, photon subtraction, addition, and catalysis, are performed before and after interaction with a noisy channel. We generate the resource state for teleporting unknown coherent and squeezed vacuum states using two distinct strategies: (i) Implementation of non-Gaussian operations on TMSV state before interaction with a noisy channel, (ii) Implementation of non-Gaussian operations after interaction of TMSV state with a noisy channel. The results show that either of the two strategies could be more beneficial than the other depending on the type of the non-Gaussian operation, the initial squeezing of the TMSV state, and the parameters characterizing the noisy channel. This strategy can be utilized to effectively improve the efficiency of various non-Gaussian continuous variable quantum information processing tasks in a dissipative environment.