Emergence of Monogamy under Static and Dynamic Scenarios

TL;DR

This paper explores the complex relationships between different quantum correlations in multipartite systems, revealing a critical GME threshold for monogamy and analyzing how quantum correlations distribute among parties.

Contribution

It introduces a detailed analysis of monogamy scores, localizable quantum correlations, and genuine multipartite entanglement, uncovering new thresholds and bounds in quantum correlation distribution.

Findings

GME distribution in Dicke states resembles that of random states.

A critical GME value marks the onset of universal monogamy.

States with low GME can still localize high quantum correlations.

Abstract

Characterizing multipartite quantum correlations beyond two parties is of utmost importance for building cutting edge quantum technologies, although the comprehensive picture is still missing. Here we investigate quantum correlations (QCs) present in a multipartite system by exploring connections between monogamy score (MS), localizable quantum correlations (LQC), and genuine multipartite entanglement (GME) content of the state. We find that the frequency distribution of GME for Dicke states with higher excitations resembles that of random states. We show that there is a critical value of GME beyond which all states become monogamous and it is investigated by considering different powers of MS which provide various layers of monogamy relations. Interestingly, such a relation between LQC and MS as well as GME does not hold. States having a very low GME (low monogamy score, both positive and negative) can localize a high amount of QCs in two parties. We also provide an upper bound to the sum of bipartite QC measures including LQC for random states and establish a gap between the actual upper bound and the algebraic maximum.