Sequential generation of projected entangled-pair states

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.

5 pages, 4 figures, and supplementary materials

References in corpus (17)

• The density-matrix renormalization group in the age of matrix product states
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Multi-party entanglement in graph states
• Matrix product states represent ground states faithfully
• Efficient quantum state tomography
• Criticality, the area law, and the computational power of PEPS
• Deterministic Generation of a Cluster State of Entangled Photons
• A photonic cluster state machine gun
• Optically generated 2-dimensional photonic cluster state from coupled quantum dots
• Explicit tensor network representation for the ground states of string-net models
• Sequential Generation of Matrix-Product States in Cavity QED
• Holographic quantum states
• Realizing a Deterministic Source of Multipartite-Entangled Photonic Qubits
• Sequentially generated states for the study of two dimensional systems
• Sequential Implementation of Global Quantum Operations
• Generation of Photonic Matrix Product States with Rydberg Atomic Arrays
• Tensor-product representations for string-net condensed states

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• Efficient Simulation of Dynamics in Two-Dimensional Quantum Spin Systems with Isometric Tensor Networks
• Holographic quantum simulation of entanglement renormalization circuits
• Typical Correlation Length of Sequentially Generated Tensor Network States
• Time Evolution of Uniform Sequential Circuits
• Probing phases of quantum matter with an ion-trap tensor-network quantum eigensolver
• Fermionic Isometric Tensor Network States in Two Dimensions
• Generation of photonic tensor network states with Circuit QED
• Differentiable matrix product states for simulating variational quantum computational chemistry
• Two Dimensional Isometric Tensor Networks on an Infinite Strip
• Sequential Adiabatic Generation of Chiral Topological States
• Fractal decompositions and tensor network representations of Bethe wavefunctions