Multiphoton catalysis on non-gaussian photon-added and subtracted pair coherent states

Abstract Recently, it was reported that Quantum optical catalysis is a method capable of transforming Gaussian/non-Gaussian input states into non-Gaussian states without changing the photon number of the original state in Int. J. Theor. Phys. 62, 41 (2023). They have shown enhancement in non-Gaussianity after applying photon catalysis over a pair coherent state. Here in this work, we investigate the multi photon-catalysis phenomenon in a photon-added (in one mode) and photon-subtracted (in another mode) pair coherent state. The entanglement and non-Gaussian properties of the generated state multiphoton catalytic photon-added-and-subtracted pair coherent state (MC-PASPCS) are analyzed using linear entropy, logarithmic negativity, and a quantitative measure of non-Gaussianity. Furthermore, the usefulness of the proposed state as a quantum resource is examined through continuous-variable quantum teleportation fidelity. Our results show that the combined effect of photon addition/subtraction and multiphoton catalysis significantly enhances entanglement, non-Gaussianity, and teleportation performance in suitable parameter regimes compared with the original pair coherent state. The findings demonstrate that said states provides a controllable platform for generating highly non-Gaussian entangled states with potential applications in quantum information processing.