Rigorous Free-Fermion Entanglement Renormalization from Wavelet Theory

We construct entanglement renormalization schemes that provably approximate the ground states of noninteracting-fermion nearest-neighbor hopping Hamiltonians on the one-dimensional discrete line and the two-dimensional square lattice. These schemes give hierarchical quantum circuits that build up th...

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Bibliographic Details
Main Authors: Jutho Haegeman, Brian Swingle, Michael Walter, Jordan Cotler, Glen Evenbly, Volkher B. Scholz
Format: Article
Language:English
Published: American Physical Society 2018-01-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.8.011003