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Optical and Quantum Electronics

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

L. Jebli, Mohammed Daoud A

Published Jun 8, 2023• 2 citations
Publisher

Abstract

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.

DOI
10.1007/s11082-023-04948-w

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We introduce a class of the photon-added Bell-type entangled coherent states (PABECSs) obtained from Bell-type entangled coherent states by applying creation operators. We investigate their entanglement characteristics by analyzing the entropy of entanglement and discuss the influence of photon excitations on quantum entanglement. It is shown that applying a creation operator can increase the amount of entanglement. We also study the statistical properties of such states by discussing the behavior of the quasi-probability functions graphically. In addition, a possible scheme is presented to produce the PABECSs by using cavity quantum electrodynamics and quantum measurements.
A model of dynamics of quantum correlations of two modes quasi-Bell cat states, based on Glauber coherent states, is considered. The analytic expressions of pairwise entanglement of formation, quantum discord and its geometrized variant are explicitly derived. We analyze the distribution of quantum correlations between the two modes and the environment. We show that, in contrast with squared concurrence, entanglement of formation, quantum discord and geometric quantum discord do not follow the property of monogamy except in some particular situations that we discuss.
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Abstract In this paper, we investigate quantum correlations in a qutrit-like superposition of spin coherent states. In particular, the quantum entanglement, the lower bound of the geometric measure of quantum discord, and the lower bound of local quantum uncertainty for the superposition of spin coherent states are examined, and their properties are characterized and compared. The specific dependence of these different correlation quantities on the spin of the system, the coefficient parameters, and the involved coherence parameters is found. As a part of this analysis, conditions for enhanced quantum correlations of qutrit-like superposition states have been identified, which exposes the characteristics of the states based on which the quantum correlations can be controlled and improved.