Exploring multipartite quantum correlations with the square of quantum discord

TL;DR

This paper investigates how quantum correlations, quantified by the square of quantum discord, are distributed in multipartite quantum systems, establishing monogamy relations and introducing a new correlation measure.

Contribution

It derives conditions for SQD monogamy in tripartite states and introduces a genuine tripartite quantum correlation measure, extending analysis to four-qubit states and dynamical systems.

Findings

SQD is monogamous for three-qubit pure states

A new genuine tripartite quantum correlation measure is proposed

Multipartite quantum correlations are analyzed in dynamical systems

Abstract

We explore the quantum correlation distribution in multipartite quantum states based on the square of quantum discord (SQD). For tripartite quantum systems, we derive the necessary and sufficient condition for the SQD to satisfy the monogamy relation. Particularly, we prove that the SQD is monogamous for three-qubit pure states, based on which a genuine tripartite quantum correlation measure is introduced. In addition, we also address the quantum correlation distributions in four-qubit pure states. As an example, we investigate multipartite quantum correlations in the dynamical evolution of multipartite cavity-reservoir systems.