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arXiv · 2107.05873

Sequential generation of projected entangled-pair states

Zhi-Yuan Wei·Daniel Malz·J. Ignacio Cirac
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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.

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Zhi-Yuan Wei, Daniel Malz, J. Ignacio Cirac. 2022-01-12. Sequential generation of projected entangled-pair states. https://doi.org/10.1103/physrevlett.128.010607

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