Quantum Tele-Amplification of Non-Gaussian State via bi-modal Asymmetric Entangled Coherent State

Optical Coherent State (OCS), generated by LASERS, exhibits Gaussian probability (Wigner) distribution function with minimum uncertainty-spread in quantum phase space. It provides over-complete states spanning infinite dimensional Hilbert space, an emblematic instance of continuous variable states. Quantum superposition of Cat Coherent States (CCS), named as Schrodinger CCS due to historical reasons and visualized as non-Gaussian Wigner distribution function in phase space, furnishes quantum resources for quantum information science, engineering and technology i.e., quantum non-locality, quantum teleportation, and tele-amplification, to name a few. We proposed a protocol to teleporting mono-modal non-Gaussian OCS (Schrodinger CCS) conjoined with its amplification via asymmetric two mode entangled CCS as quantum channel. The fidelity and probability of successful event and unsuccessful event quantum tele-amplification is defined for various heralding conditions at sender’s lab. It is seen that the probability of faithful and unfaithful quantum tele-amplification is fifty percent with unit fidelity for intense OCS. Prospective utility of our scheme may overlong distances transmission where loss in photon is inevitable.