Percolation Transition Control in Quantum Networks. (arXiv:1903.05768v1 [quant-ph])

Percolation theory allows simple description of the phase transition based on
the scaling properties of the network clusters with respect to a single
parameter - site or bond occupation probability. How to design a network
exhibiting the percolation transition for a chosen occupation probability has
been an open problem. At the same time, the task to find a structurally simple
network having the desired property seemed to be impossible. I suggest a model,
where the combination of the classical and the quantum resources creates a
percolation transition, continuous or discontinuous on demand, for any
pre-selected occupation probability and already in the simplest possible
one-dimensional network.

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