Entanglement percolation in quantum complex networks
arXiv:0906.2977 · doi:10.1103/PhysRevLett.103.240503
Abstract
Quantum networks are essential to quantum information distributed applications, and communicating over them is a key challenge. Complex networks have rich and intriguing properties, which are as yet unexplored in the quantum setting. Here, we study the effect of entanglement percolation as a means to establish long-distance entanglement between arbitrary nodes of quantum complex networks. We develop a theory to analytically study random graphs with arbitrary degree distribution and give exact results for some models. Our findings are in good agreement with numerical simulations and show that the proposed quantum strategies enhance the percolation threshold substantially. Simulations also show a clear enhancement in small-world and other real-world networks.
References in corpus (7)
- The Quantum Internet
- Critical phenomena in complex networks
- Multi-party entanglement in graph states
- Percolation and Epidemic Thresholds in Clustered Networks
- Percolation, renormalization, and quantum computing with non-deterministic gates
- Entanglement Distribution in Pure-State Quantum Networks
- Phase transition of computational power in the resource states for one-way quantum computation
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