Null-eigenvalue localization of quantum walks on real-world complex networks

30 Jun 2020 Bueno Ruben Hatano Naomichi

First we report that the adjacency matrices of real-world complex networks systematically have null eigenspaces with much higher dimensions than that of random networks. These null eigenvalues are caused by duplication mechanisms leading to structures with local symmetries which should be more present in complex organizations... (read more)

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Categories


  • PHYSICS AND SOCIETY
  • DISORDERED SYSTEMS AND NEURAL NETWORKS
  • STATISTICAL MECHANICS
  • QUANTUM PHYSICS