Stochastic routing and percolation theory applied to quantum networks

Le Quoc Cuong,Akim Demaille,Patrick Bellot

We have developed a model of stochastic routing for quantum networks and proved its validity using percolation theory. Usual models of quantum networks focus on trusted models where all the network nodes are assumed to be perfectly secure. This restricts quantum networks to be small. This model is dedicated to large-scale quantum networks where some of the nodes can be secretly eavesdropped. We have shown that under computable conditions,large-scale quantum networks can protect the transmission of data with a extremely high probability. Simulations have validated our approach.

1. Le Quoc Cuong. “Innovative models for quantum networks”,Télécom ParisTech,PhD Thesis,november 2010.
2. Le Quoc Cuong,Akim Demaille and Patrick Bellot. “Towards the World-Wide Quantum Network”. 4th Information Security Practice and Experience Conference (ISPEC 2008),Sydney (Australia),April 2008.
3. Le Quoc Cuong,Akim Demaille and Patrick Bellot. “On the security of quantum networks:a proposal framework and its capacity”. 2007 International Conference on New Technologies,Mobility and Security (NTMS 07),  co-sponsored by IEEE Section France,  Paris (France),  May 2007.
4. Le Quoc Cuong,Akim Demaille and Patrick Bellot. “Stochastic routing in large grid-shaped quantum networks”. 5th International Conference on Computer Sciences Research,Innovation and Vision for the Future (RIVF 2007),co-sponsored by IEEE Region X,Hanoi (Vietnam),March 2007.