Disentanglement, Bell-nonlocality violation and teleportation capacity of the decaying tripartite states

TL;DR

This paper studies how tripartite quantum states lose entanglement and Bell nonlocality under thermal noise, revealing that Bell nonlocality can abruptly disappear, yet some entangled states still enable quantum teleportation.

Contribution

It provides a detailed analysis of the dynamics of tripartite entanglement and Bell nonlocality, highlighting the conditions for Bell nonlocality sudden death and teleportation usefulness.

Findings

Bell nonlocality suffers sudden death under thermal reservoirs.

All Bell-nonlocal states can be used for nonclassical teleportation.

Some entangled states do not violate Bell inequalities but still enable teleportation.

Abstract

Dynamics of disentanglement as measured by the tripartite negativity and Bell nonlocality as measured by the extent of violation of the multipartite Bell-type inequalities are investigated in this work. It is shown definitively that for the initial three-qubit Greenberger-Horne-Zeilinger (GHZ) or {\it W} class state preparation the Bell nonlocality suffers sudden death under the influence of thermal reservoirs. Moreover, all the Bell-nonlocal states are useful for nonclassical teleportation, while there are entangled states that do not violate any Bell-type inequalities, but still yield nonclassical teleportation fidelity.