Alessio Cardillo, Fernando Galve, David Zueco, Jesús Gómez-Gardeñes
We introduce the use of entanglement entropy as a tool for studying the amount of information stored in quantum complex networks. By considering the ground state of a network of coupled quantum harmonic oscillators, we compute the information that each node has on the rest of the system. We show both analytically and numerically that the nodes storing the largest amount of information are not the ones with the highest connectivity, but those with intermediate connectivity thus breaking down the usual hierarchical picture of classical networks. As a byproduct, our results point out that the amount of information available for an external controller connecting to a quantum network is bounded although it can be maximized by means of a moderate number of connections.
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http://arxiv.org/abs/1211.2580
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