Information geometry of entanglement renormalization for free quantum fields

Journal ar
Journal of High Energy Physics
  • Volumen: 2015
  • Número: 9
  • Fecha: 10 septiembre 2015
  • ISSN: 10298479 11266708
  • Tipo de fuente: Revista
  • DOI: 10.1007/JHEP09(2015)002
  • Tipo de documento: Artículo
  • Editorial: Springer Verlag
© 2015, The Author(s). Abstract: We provide an explicit connection between the differential generation of entan-glement entropy in a tensor network representation of the ground states of two field theories, and a geometric description of these states based on the Fisher information metric. We show how the geometrical description remains invariant despite there is an irreducible gauge freedom in the definition of the tensor network. The results might help to understand how spacetimes may emerge from distributions of quantum states, or more concretely, from the structure of the quantum entanglement concomitant to those distributions.

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