We introduce plaquette projected entangled-pair states, a class of states in a lattice that can be generated by applying sequential unitaries acting on plaquettes of overlapping regions. They satisfy area-law entanglement, possess long-range correlations, and naturally generalize other relevant classes of tensor network states. We identify a subclass that can be more efficiently prepared in a radial fashion and that contains the family of isometric tensor network states [M. P. Zaletel and F. Pollmann, Phys. Rev. Lett. 124, 037201 (2020)]. We also show how this subclass can be efficiently prepared using an array of photon sources.
@article{arxiv.2107.05873,
title = {Sequential generation of projected entangled-pair states},
author = {Zhi-Yuan Wei and Daniel Malz and J. Ignacio Cirac},
journal= {arXiv preprint arXiv:2107.05873},
year = {2022}
}