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Area of Science:

Quantum Information Science
Quantum Computing
Quantum Networking

Background:

Cluster states are essential resources for quantum computation and quantum networks.
Connecting distributed quantum networks is crucial for scalability.

Purpose of the Study:

To present a scheme for connecting two Gaussian cluster states using entanglement swapping.
To analyze the connection of different four-mode cluster states and their resulting structures.
To investigate the entanglement properties of the output states and reduce resource requirements.

Main Methods:

Entanglement swapping protocol applied to Gaussian cluster states.
Analysis of different four-mode cluster state connection schemes.
Application of feedforward schemes to preserve and enhance entanglement.
Utilizing optimal gains and inseparability criteria.

Main Results:

A scheme for connecting two local quantum networks composed of cluster states is presented.
The structure of output states after entanglement swapping may differ from input states.
Entanglement of new cluster states is achieved with suitable feedforward schemes.
Reduced requirements for squeezing parameters are demonstrated.

Conclusions:

The presented scheme provides a practical method for constructing quantum networks with cluster states.
Entanglement swapping is an effective technique for extending quantum networks.
Optimized feedforward and classical channel gains enhance entanglement preservation and creation.