Sequential generation of projected entangled-pair states

TL;DR

This paper introduces a new class of tensor network states called plaquette projected entangled-pair states, which can be generated sequentially, exhibit area-law entanglement, and are efficiently preparable using photon sources.

Contribution

It proposes a novel class of tensor network states with sequential generation methods and links to existing isometric tensor network states, enhancing state preparation efficiency.

Findings

States satisfy area-law entanglement

Can be generated sequentially on a lattice

Efficient preparation using photon sources

Abstract

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.