Network nonlocality breaking channels

TL;DR

This paper introduces and characterizes channels that destroy network nonlocality in quantum systems, analyzing how environmental noise affects quantum correlations in networks and identifying channels that preserve these resources.

Contribution

It defines and studies network nonlocality breaking channels, providing a framework to understand environmental impacts on quantum network nonlocality and identifying channels that maintain quantum resources.

Findings

Network nonlocality can be broken by specific quantum channels.

Depolarizing and dephasing channels can destroy network nonlocality.

Certain channels can preserve nonlocality, aiding quantum network design.

Abstract

Network nonlocality, a recently noted form of nonlocality has been shown to have distinctive features, marking a significant departure from the notion of standard Bell nonlocality in the context of quantum correlations. On a pragmatic front, it has gained significant importance as researchers worldwide actively engage in the study on quantum networks. However, as typical to any quantum resource, network nonlocality is also vulnerable to environmental noise, which sometimes prove to be detrimental. Environmental interactions are modeled in terms of quantum channels. In the present study, we introduce and characterize network nonlocality breaking channels. Network nonlocality breaking channels model environmental influences which results in the loss of resource, i.e., the system loses its nonlocal resource due to such interactions. The study is done in the ambit of some suitably chosen inequalities in (i) linear networks and (ii) star-shaped networks. Further, the loss in full network nonlocality is also studied. Furthermore, we also characterize quantum channels according to their ability in preserving quantum resources, i.e., they do not break network nonlocality, which enables one to identify useful quantum channels in networks. The study is vindicated by illustrations from various noise models like depolarizing and dephasing channels.