Improving entanglement and inhabiting depolarization of two-mode entangled coherent-squeezed states

Here we apply a two-mode Binomial-like superposition of the photon-number operators (GSP operation) on each mode of the entangled coherent-squeezed states (ECSS), which are called GSP-ECSS from here on. In order to gain more insight into the effectiveness of this operation, and for comparison with the case already discussed as the photon-added ECSS, we present a general analysis of non-classical properties such as the photon statistics, degree of polarization, and the entanglement of the GSP-ECSS. We show that a particular choice of the parameters of the GSP operation enables us to prevent these states from depolarization as well as disentanglement. In other words, the GSP operation can be considered a reliable approach in the framework of quantum information theory which leads to the improvement of the non-classicality of the quantum states, especially their entanglement.