Abstract
Quantum networks have good prospects for applications in the future. Compared with classical networks, small-world quantum networks have some interesting properties. The topology of the network can be changed through entanglement exchange operations, and different network topologies will result in different percolation thresholds when performing entanglement percolation. A lower percolation threshold means that quantum networks require fewer minimum resources for communication. Since a shared singlet between two nodes can still be a limitation, concurrency percolation theory (ConPT) can be used to relax the condition. In this paper, we investigate how entanglement distribution is performed in small-world quantum networks to ensure that nodes in the network can communicate with each other by establishing communication links through entanglement swapping. Any node can perform entanglement swapping on only part of the connected edges, which can reduce the influence of each node in the network during entanglement swapping. In addition, the ConPT method is used to reduce the percolation threshold even further, thus obtaining a better network structure and reducing the resources required.
Highlights
With the continuous research on quantum communication, the structure and scale of quantum networks are changing dramatically
Quantum networks are no longer limited to regular network shapes but are developing toward large-scale, long-range, multi-user complex networks [1,2], which is determined by the future research and application prospects of quantum networks
We analyze the problems that arise in the quantum preprocessing of small-world quantum networks and propose solutions that allow the maximally entangled states to be distributed in the network so that communication can be ensured between nodes
Summary
With the continuous research on quantum communication, the structure and scale of quantum networks are changing dramatically. The percolation phenomenon occurs during the conversion from a partially entangled state to a maximally entangled state. In complex quantum networks, as the edge reconnection occurs after entanglement swapping between the nodes and newly connected edges replace the original ones, both the structure of the network and the percolation threshold of the network are changed. If we preprocess the network using entanglement swapping before the percolation occurs and lower the percolation threshold of the quantum network on purpose, we can establish the quantum communication network more efficiently This is called Quantum Entanglement Percolation (QEP). Preprocessing in small-world quantum networks can have problems: The nodes have different degrees and neighboring nodes have influence on each other because they share an edge, and the connected edges cannot be exchanged again once entanglement swapping is performed. The effects of ConPT methods are investigated so that the robustness of the network can be improved and the percolation threshold of the network can be reduced
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
