Mathematical open problems in projected entangled pair states

@article{Cirac2019MathematicalOP,
  title={Mathematical open problems in projected entangled pair states},
  author={Juan Ignacio Cirac and Jos{\'e} Garre-Rubio and David P'erez-Garc'ia},
  journal={Revista Matem{\'a}tica Complutense},
  year={2019}
}
Projected Entangled Pair States (PEPS) are used in practice as an efficient parametrization of the set of ground states of quantum many body systems. The aim of this paper is to present, for a broad mathematical audience, some mathematical questions about PEPS. 

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