Distribution of entanglement in large-scale quantum networks
S. Perseguers, G. J. Lapeyre Jr, D. Cavalcanti, M. Lewenstein, and A., Ac\'in

TL;DR
This paper reviews recent theoretical advances in distributing quantum entanglement across large-scale networks, emphasizing multi-dimensional systems, percolation theory, and network error correction techniques.
Contribution
It highlights new protocols and theoretical frameworks for entanglement distribution in complex quantum networks beyond one-dimensional systems.
Findings
Percolation theory aids in understanding entanglement spread.
Network error correction improves entanglement robustness.
Protocols for multi-dimensional networks are emerging.
Abstract
The concentration and distribution of quantum entanglement is an essential ingredient in emerging quantum information technologies. Much theoretical and experimental effort has been expended in understanding how to distribute entanglement in one-dimensional networks. However, as experimental techniques in quantum communication develop, protocols for multi-dimensional systems become essential. Here, we focus on recent theoretical developments in protocols for distributing entanglement in regular and complex networks, with particular attention to percolation theory and network-based error correction.
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