Exclusive quantum channels in quantum networks

TL;DR

This paper introduces the concept of exclusive quantum channels (EQC) as a measure of quantum communication efficiency in networks, showing EQC's independence from distance and its enhancement through entanglement swapping.

Contribution

It defines EQC as a new metric for quantum network efficiency and demonstrates its properties and potential improvements, advancing understanding of quantum communication.

Findings

EQC is a local quantity with effective circles.

Quantum communication capacity via EQC is distance-independent.

Entanglement swapping can enhance EQC in quantum networks.

Abstract

Quantum state can be teleported to a remote site by only local measurement and classical communication if the prior Einstein-Podolsky-Rosen quantum channel is available between the sender and the receiver. Those quantum channels shared by multiple nodes can constitute a quantum network. Yet, studies on the efficiency of quantum communication between nodes of quantum networks remain limited, which differs from classical case in that the quantum channel will be consumed if teleportation is performed. Here, we introduce the exclusive quantum channels (EQC) as the measure of efficiency of quantum information transmission. It quantifies the amount of quantum information which can be teleported between nodes in a quantum network. We show that different types of EQC are local quantities with effective circles. Significantly, capacity of quantum communication of quantum networks quantified by EQC is independent of distance for the communicating nodes. Thus, the quantum network can be dealt as the isotropic medium where quantum communication is no-decaying. EQC are studied by both analytical and numerical methods. The EQC can be enhanced by transformations of lattices of quantum network via entanglement swapping. Our result opens the avenue in studying the quantum communication of the quantum networks.