RT Journal Article T1 Sequentially generated states for the study of two-dimensional systems A1 Bañuls, M.C. A1 Pérez García, David A1 Wolf, M.M. A1 Verstraete, F. A1 Cirac, J.I. AB Matrix product states can be defined as the family of quantum states that can be sequentially generated in a one-dimensional system [Schon et al., Phys. Rev. Lett. 95, 110503 (2005)]. We introduce a family of states that extends this definition to two dimensions. Like in matrix product states, expectation values of few body observables can be efficiently evaluated and, for the case of translationally invariant systems, the correlation functions decay exponentially with the distance. We show that such states are a subclass of projected entangled pair states and investigate their suitability for approximating the ground states of local Hamiltonians. PB American Physical Society SN 1050-2947 YR 2008 FD 2008 LK https://hdl.handle.net/20.500.14352/50311 UL https://hdl.handle.net/20.500.14352/50311 LA eng NO EU Strep Compas NO DFG DS Docta Complutense RD 21 oct 2025