Discriminating Quantum Correlations with Networking Quantum Teleportation

TL;DR

This paper introduces a formalism that uses quantum teleportation to quantitatively characterize and discriminate various quantum correlations in physical processes, extending beyond traditional Bell inequality tests.

Contribution

It develops a hierarchy of quantum correlations based on process fidelity, applicable to linear multi-node quantum networks, advancing the understanding of nonlocality in quantum teleportation.

Findings

Hierarchy between Bell nonlocality, nonbilocality, steering, and hybrid correlations established

Formalism successfully applied to a three-node quantum network

Framework extendable to larger linear quantum networks

Abstract

The Bell inequality, and its substantial experimental violation, offers a seminal paradigm for showing that the world is not in fact locally realistic. Here, going beyond the scope of Bell's inequality on physical states, we show that quantum teleportation can be used to quantitatively characterize quantum correlations of physical processes. The validity of the proposed formalism is demonstrated by considering the problem of teleportation through a linear three-node quantum network. A hierarchy is derived between the Bell nonlocality, nonbilocality, steering and nonlocality-steering hybrid correlations based on a process fidelity constraint. The proposed framework can be directly extended to reveal the nonlocality structure of teleportation through any linear many-node quantum network. The formalism provides a faithful identification of quantum teleportation and demonstrates the use of quantum-information processing as a means of quantitatively discriminating quantum correlations.