Cirac, J. IgnacioGarre Rubio, JoséPérez García, David2023-06-172023-06-172019-07-291139-113810.1007/s13163-019-00318-xhttps://hdl.handle.net/20.500.14352/12889Projected 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.engjournal articlehttps://doi.org/10.1007/s13163-019-00318-xhttps://link.springer.com/article/10.1007/s13163-019-00318-xopen access51-73Quantum many body physicsTensor network statesMathematical open problemsFísica matemáticaTeoría de los quanta2210.23 Teoría Cuántica