Local quantum uncertainty and Non-commutativity measure discord in two-mode photon-added entangled coherent states

Abstract

In this paper, we investigate quantum correlations in coherent entangled states with photons added, which are produced by the creation operator acting on Bell entangled coherent states. The non-classical characteristics of the quantum state created by combining two-mode coherent states with any number of photons are also taken into account. We provide explicit expressions fort he pairwise quantum correlations found in superpositions of coherent states with (m; n)-photon addition. A comparison between a non-commutativity discord-like measure and the evaluation of the local quantum uncertainty to measure quantum correlations is also produced. We consider some special superpositions of quasi-Bell entangled coherent photon-added states to be illustrative of our analytical findings. Additionally, investigated is the quantum correlations' evolution in a channel that is dephasing.