Eur. Phys. J. D (2022) 76: 47
https://doi.org/10.1140/epjd/s10053-022-00372-z

Regular Article – Quantum Optics

Operational resource measure of nonclassicality for number states filtered coherent states

School of Physics, Madurai Kamaraj University, Madurai, India

Received: 26 August 2021
Accepted: 22 February 2022
Published online: 14 March 2022

Abstract

The ability of the nonclassical states is gauged by their utility in performing various quantum tasks. In recent times, quantification of nonclassicality has been put forward with regard to operational resource theory (ORT) in quantum metrological perceptive (Ge et al. in Phys Rev Res 2:023400, 2020) and a class of single mode nonclassical states has been proposed as resources. In this work, we obtain an estimable amount of nonclassicality in the ORT framework from the Number States Filtered Coherent States (NSFCS). The unique choices of number states which are filtered from the coherent states in finite limits are manifested to achieve the optimal resourcefulness of quantum states. The ORT measure of NSFCS is correlated with two other nonclassical quantifiers, namely a geometric degree of nonclassicality and von Neumann entropy. It is shown that though some filtration schemes yield greater values of diverse nonclassical measures, they may have a weaker nonclassicality as a resource. Further, two nonclassicality inducing operations, namely photon addition and number state filtration, are compared on the performance basis when they are enforced on the coherent states. In addition, nonlinear Kerr evolution of NSFCS is employed where the ineffective filtration schemes are effectuated appreciable amount of resourcefulness.