The intrinsic relations of quantum resources in multiparticle systems

TL;DR

This paper explores the intrinsic relationships among various quantum resources such as coherence, concurrence, and nonlocality in tripartite W-type states, revealing exact bounds and relations that deepen understanding of quantum correlations.

Contribution

It provides the first comprehensive analysis of the interrelations among multiple quantum resources in tripartite W-type states, including exact bounds and relations under different conditions.

Findings

Exact lower and upper bounds of coherence versus concurrence for Bell nonlocal and local states.

Derived an exact relation among coherence, concurrence, and purity.

Demonstrated the relation between coherence and entanglement in decoherence scenarios and spin chains.

Abstract

Quantum resources play crucial roles for displaying superiority in many quantum communication and computation tasks. To reveal the intrinsic relations hidden in these quantum resources, many efforts have been made in recent years. In this work, we investigate the correlations of the tripartite W-type states based on bipartite quantum resources. The interrelations among the degree of coherence, concurrence, Bell nonlocality and purity are presented. Considering Bell nonlocal and Bell local (satisfied the Clauser-Horne-Shimony-Holt inequality) states for the two-qubit subsystems derived from the tripartite W-type states, we find exact lower and upper boundaries of the degree of coherence versus concurrence. Interestingly, exact relation among the degree of coherence, concurrence and purity is obtained. Moreover, coherence is also closely related to entanglement in two specific scenarios: the tripartite W-type state under decoherence and a practical system for a renormalized spin-1/2 chain.