Building projected entangled pair states with a local gauge symmetry

Erez Zohar, Michele Burrello

Research output: Contribution to journalArticlepeer-review

39 Scopus citations


Tensor network states, and in particular projected entangled pair states (PEPS), suggest an innovative approach for the study of lattice gauge theories, both from a pure theoretic point of view, and as a tool for the analysis of the recent proposals for quantum simulations of lattice gauge theories. In this paper we present a framework for describing locally gauge invariant states on lattices using PEPS. The PEPS constructed hereby shall include both bosonic and fermionic states, suitable for all combinations of matter and gauge fields in lattice gauge theories defined by either finite or compact Lie groups.

Original languageAmerican English
Article number043008
JournalNew Journal of Physics
Issue number4
StatePublished - 1 Apr 2016
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2016 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.


  • Lattice gauge theories
  • Projected entangled pair states
  • Tensor networks


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