Executive Summary : | In recent years, the quantitative analysis of non-classicality and non-Gaussianity of a quantum state has gained significant attention. Non-classicality and quantum non-Gaussianity are two key features of the quantum world that can lead to quantum advantage. Theoretical and experimental efforts are needed to engineer highly non-classical, non-Gaussian optical states to achieve enhanced properties of entanglement and negativity of quasiprobability phase-space distributions. These features could be useful for the efficient implementation of quantum information and communication protocols and for quantum estimation tasks. In the last two decades, several degaussification methods have been proposed, depending on photon addition or subtraction. Some of these methods have been experimentally realized to produce non-Gaussian photon-added and photon-subtracted states from Gaussian coherent or squeezed inputs. The present proposal focuses on quantifying the amount of non-classicality and non-Gaussianity of the photon subtracted displaced Fock (PSDFS), a well-known non-Gaussian state of the radiation field obtained by subtracting photons from the displaced Fock state. The analysis will use measures like linear entropy potential, skew information based measure, Wigner logarithmic negativity, and relative entropy of non-Gaussianity. The study will investigate the role of adjustable free parameters like Fock constant and number of photons subtracted in controlling non-classicality and non-Gaussianity of the considered state. |