Advances on tensor network theory: symmetries, fermions, entanglement, and holography

@article{Ors2014AdvancesOT,
  title={Advances on tensor network theory: symmetries, fermions, entanglement, and holography},
  author={Rom{\'a}n Or{\'u}s},
  journal={The European Physical Journal B},
  year={2014},
  volume={87},
  pages={1-18}
}
  • R. Orús
  • Published 24 July 2014
  • Physics
  • The European Physical Journal B
This is a short review on selected theory developments on tensor network (TN) states for strongly correlated systems. Specifically, we briefly review the effect of symmetries in TN states, fermionic TNs, the calculation of entanglement Hamiltonians from projected entangled pair states (PEPS), and the relation between the multi-scale entanglement renormalization ansatz (MERA) and the AdS/CFT or gauge/gravity duality. We stress the role played by entanglement in the emergence of several physical… 

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