Global quantum correlations in tripartite nonorthogonal states and monogamy properties

TL;DR

This paper introduces a global measure of quantum correlations for tripartite nonorthogonal states, deriving explicit formulas for various correlation measures and analyzing monogamy constraints using Schrödinger cat states.

Contribution

It presents a novel global correlation measure for tripartite states and derives explicit formulas for multiple quantum correlation metrics.

Findings

Explicit formulas for global quantum correlations are derived.

Schrödinger cat states are used to illustrate the measure.

Monogamy relations impose limitations on sharing quantum correlations.

Abstract

A global measure of quantum correlations for tripartite nonorthogonal states is presented. It is introduced as the overall average of the pairwise correlations existing in all possible partitions. The explicit expressions for the global measure are derived for squared concurrence, entanglement of formation, quantum discord and its geometric variant. As illustration, we consider even and odd three-mode Schr\"odinger cat states based on Glauber coherent states. We also discuss limitations to sharing quantum correlations known as monogamy relations.