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Sequential generation of projected entangled-pair states

MPS-Authors
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Wei,  Zhiyuan
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;

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Malz,  Daniel
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;

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Cirac,  J. Ignacio
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;

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Citation

Wei, Z., Malz, D., & Cirac, J. I. (2022). Sequential generation of projected entangled-pair states. Physical Review Letters, 128(01): 010607. doi:10.1103/PhysRevLett.128.010607.


Cite as: http://hdl.handle.net/21.11116/0000-0009-0FEE-C
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. We also show how such subclass can be efficiently prepared using an array of photon sources.