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.
Highlights
Quantum teleportation [1] enables networking participants to move an unknown quantum state between the nodes of a quantum network [2]
In order to tackle this problem, we introduce the concept of a genuinely classical process (GCP) to simulate the ideal quantum teleportation process, χI, and provide a strategy for mimicking teleportation by classical physics
We have proposed a formalism referred to as a genuinely classical process to characterize and identify both true quantum teleportation and the underlying quantum correlations in many-node networking teleportation
Summary
Quantum teleportation [1] enables networking participants to move an unknown quantum state between the nodes of a quantum network [2]. In contrast to existing theories, which utilize the state characteristics to verify teleportation [9,10,11] and quantum correlations (e.g., Bell nonlocality [12], nonbilocality [13,14,15,16], and non-N locality [17,18,19,20]), the proposed formalism is truly task-oriented, and is well suited to the characterization of general manynode networking teleportation and its underlying quantum resources. The formalism can be readily implemented in a wide variety of present experiments on teleportation, as will be shown in subsequent sections
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