Erwin Schrödinger Center for Quantum Science & Technology (ESQ)

Their review article provides a comprehensive overview on analytical results in the field of Matrix Product States and PEPS, starting from basic concepts, MPS and PEPS as ground states, bulk-boundary correspondence and renormalization, as well as covering symmetries, topological order, and the classification of phases, up to summarizing mathematical theorems in the field of MPS and PEPS.

For more information see:

https://schuch.univie.ac.at/news/detailview-news/news/review-article-on-tensor-networks-in-rev-mod-phys/?tx_news_pi1%5Bcontroller%5D=News&tx_news_pi1%5Baction%5D=detail&cHash=7be6e5bd1a81217359a5f4a9b8c418ea

Matrix product states and projected entangled pair states: Concepts, symmetries, theorems J. Ignacio Cirac, David Pérez-García, Norbert Schuch, and Frank Verstraete Rev. Mod. Phys. 93, 045003 – Published 17 December 2021